diff --git "a/data/dm_maths/full_data_2/2559_11255.jsonl" "b/data/dm_maths/full_data_2/2559_11255.jsonl" new file mode 100644--- /dev/null +++ "b/data/dm_maths/full_data_2/2559_11255.jsonl" @@ -0,0 +1,10000 @@ +{"text":"Question: Calculate ((332\/6)\/(-2))\/(48416\/145248).\nAnswer: -83","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 74689?\nAnswer: 19, 3931","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve 74*n + 1612 - 3832 = -1332 for n.\nAnswer: 12","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*k + 12 = 2*f, k - 2*f = -f - 5. Sort -4, 4, k.\nAnswer: -4, k, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -1\/4 in 2\/5, 1\/2, 3?\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-5 - -2)*(-16)\/12.\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -41804042 by 41804042.\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 15*y**3 - 2*y**3 + 19*y**3 - 94*y**3 - 15*y**3 - 10*y**3.\nAnswer: -87*y**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 77*t = 129*t + 42588. Let h be t\/78*6\/(-14). Factor z - 5\/2*z**4 - 7\/2*z**2 + 1\/2*z**5 + 0 + h*z**3.\nAnswer: z*(z - 2)*(z - 1)**3\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many centimeters are there in 74.82415mm?\nAnswer: 7.482415","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is -28102 + -5511?\nAnswer: -33613","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is 14031570467 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Convert 100100011010101000101 (base 2) to base 5.\nAnswer: 301141120","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (11 + 3)\/((-8064)\/(-8640))?\nAnswer: 15","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Express (-2*c + 9*c + 0*c)*(-6 - 2 - 6) + 2 - 2 - 2*c + (c - 3*c + 5*c)*(1 - 5 + 2) + c - c - 2*c in the form h + j*c and give j.\nAnswer: -108","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*h + 3*f = -8004, -8*h = -9*h - f - 4000. Find the common denominator of (h\/(-16))\/9 - 3 and 95\/36.\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(m) = -59*m**2. Let v(b) = 276281*b. Determine v(w(l)).\nAnswer: -16300579*l**2","meta":{"dup_signals":{},"source":"polynomials__compose_test"},"subset":"dm_maths"} +{"text":"Question: Let c = 508 + -508. Suppose 4*w = 28 + 20. Let i be ((-16)\/6)\/((-8)\/w). Solve -i*b = -5*v + 24, 5*v - 19 = -c*b - b for v.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -407 + -12587.\nAnswer: -12994","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Product of -0.2395464 and -3.\nAnswer: 0.7186392","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify x**(-6)\/(x\/((x*x**(3\/4)*x)\/x)*x*x)*x**2\/(x*x*(x**0*x*x)\/x*x)*((x**(-1\/2))**(-1\/7))**(-2\/45) assuming x is positive.\nAnswer: x**(-11659\/1260)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let j(m) = -m**2 + 4. Let o be ((-28)\/21)\/((-1)\/6). Suppose o = -4*h + 2*h. Let q(l) = -l**2 - 1. Give h*q(d) - j(d).\nAnswer: 5*d**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -3 + (3 + -2*(sqrt(175) + -1)*3)**2.\nAnswer: -540*sqrt(7) + 6378","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 285 + -69. Let u = -217.4 + g. Round u to the nearest ten.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: ((-39)\/39)\/((-1)\/(-117)*3\/(-2))\nAnswer: 78","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 3474623?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of -1139, -2275, -3419, -4571, -5731, -6899?\n\"Answer: -4*k**2 - 1124*k - 11","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -8911266 or -98023933\/11?\nAnswer: -98023933\/11","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in -0.298, 4, -5, -1\/2?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of -203380987, -406761972, -610142957, -813523942?\n\"Answer: -203380985*d - 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -487207*j**4*m**2 - 2*j**4 + 5*j**3 - 71*j**2*m**2 + 2859*j**2 + 1 wrt j?\nAnswer: -11692968*j*m**2 - 48*j + 30","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let y(c) = 8*c. Suppose -5*x + i = -130, -33 = 2*x - 3*i - 85. Let g(t) = 7*t**2 + 17*t**2 - x*t**2. Determine g(y(s)).\nAnswer: -128*s**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 357\/(-34)*(32\/12)\/4.\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Express 342*n + 35 - 32 - 342*n - 120*n**2 in the form b + x*n**2 + r*n and give x.\nAnswer: -120","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*k = -11 + 21, -3*k = 4*h + 3. Differentiate -a**3 + 25 - 33*a**2 + 2*a**h + 12*a**2 + 22*a**2 + 36 wrt a.\nAnswer: 3*a**2 + 2*a","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 177542000 to the nearest 1000000.\nAnswer: 178000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -38 + 38.15. Let w = x + -0.1556. Round w to three dps.\nAnswer: -0.006","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 18 - 14. Suppose -18 = y*p + 14. What is the tens digit of (-1027)\/(-65) + p\/10?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 17 divide 2432?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Expand (138*s - 329*s + 164*s)*(2*s - 2*s - 2*s**3 + (s - 3*s + 3*s)*(2*s**2 + s**2 - s**2) - 3 + 3 + 2*s**3).\nAnswer: -54*s**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Sort -8, 1, 10 in descending order.\nAnswer: 10, 1, -8","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.0131092194 rounded to five dps?\nAnswer: 0.01311","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let p be 6 + (10\/(-25))\/((-4)\/(-20)). Suppose -7*i + 192015 = -4*j - p*i, j + 5*i + 47975 = 0. What is j rounded to the nearest one thousand?\nAnswer: -48000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 779506 and 91?\nAnswer: 91","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.0000039468 to seven decimal places.\nAnswer: 0.0000039","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Are -5 and 11 equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is 304939 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let g(c) = 9*c - 28. Let l(h) = 13*h - 42. Calculate 7*g(a) - 5*l(a).\nAnswer: -2*a + 14","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 178739?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 1963?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -c**5 - 188*c**2 - 90*c.\nAnswer: -20*c**3 - 376","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is -4.5060981 rounded to the nearest integer?\nAnswer: -5","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 0.1 + -0.15. Let a = -1903 + 1895. Let w = 4 + -6. Sort c, a, w in descending order.\nAnswer: c, w, a","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 3 + 15*n**2 - 28*n**2 + 15*n**2 to the form b*n**2 + q + u*n and give b.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (l**6*l*l**7)\/(l**3\/l)**44 assuming l is positive.\nAnswer: l**(-74)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from qtqqqqtqqqqqqqqqqq. What is prob of sequence tt?\nAnswer: 1\/153","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -5\/10357 and 71\/2.\nAnswer: 20714","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:25 AM and 2:56 PM?\nAnswer: 691","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 3*f**4 + 4774 - 428 + 769 + 50120*f - 5*f**4 - 48239*f with respect to f.\nAnswer: -8*f**3 + 1881","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 564095 to the nearest integer?\nAnswer: 83","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 84448 and 96?\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is 74 a factor of (-6 - 18)\/(-6) - 1220*-8?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose m + 3 = 1, -3*m - 10 = -n. Let t = 13 - 16.8. Let s = t - -3.3. Sort s, 5, n in decreasing order.\nAnswer: 5, n, s","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 504 - 241 - 53*a**2 - 259.\nAnswer: -53*a**2 + 4","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let y(l) = -14*l - 28*l**2 + 4*l**2 + 10*l**2 + 17*l**2 + 5. What is y(4)?\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 i and 2 y when three letters picked without replacement from {y: 6, i: 5, e: 2}?\nAnswer: 75\/286","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 4839 and 2027763594.\nAnswer: 4839","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let w(l) = l**3 - 5*l**2 - 9*l - 4. Let k be w(8). Suppose -3*x + k = j, -3*x = -j - 4*x + 126. Is j prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 4 and 12?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -1 divided by -38.\nAnswer: 1\/38","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Convert -1000010000100 (base 2) to base 14.\nAnswer: -1780","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 27*o - 7295 = 22*o. Let s = o - 692. Is 10 a factor of s?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: -43 times -10034\nAnswer: 431462","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -8018775 or -48112643\/6?\nAnswer: -48112643\/6","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let w(n) = -n**3 - n**2 - n - 1. Let g(i) = i**3 + 3*i**2 + 6*i + 2. Calculate -g(q) - 3*w(q).\nAnswer: 2*q**3 - 3*q + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -326 - -212. Let q = 109 - h. What is the remainder when q is divided by 56?\nAnswer: 55","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*g + 5*d = 45, 2*g = -d + 4*d - 39. Find the common denominator of 97\/8 and -1 + 0 + (-5)\/g.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -642 - -644. What is the nearest to 2\/9 in 3, -7, g, 0.5?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -4, 1445, -76, 5, 9 in decreasing order.\nAnswer: 1445, 9, 5, -4, -76","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 4105 is divided by 15?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -82.38 - -2.38. Let g = -80.3 - j. Which is the second biggest value? (a) 4 (b) g (c) 0 (d) -3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (-6)\/(-8) + 276\/(-48). Let k(v) = -9*v - 41. Let c be k(q). Solve 0 = -3*a - 2*p - 11, -c = 2*a + 3*p for a.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of -13, -25, -47, -79, -121, -173?\n\"Answer: -5*k**2 + 3*k - 11","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let y(z) = 4*z**2. Let b(h) = -588*h + 188 - 188 + 94*h. Give y(b(c)).\nAnswer: 976144*c**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.0006884667 rounded to four dps?\nAnswer: -0.0007","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let o(s) = -10*s**4 - 2*s**3 + 16*s - 2. Let n(t) = t**4 + t**3 + t + 1. Let g(p) = -2*n(p) - o(p). Find the second derivative of g(a) wrt a.\nAnswer: 96*a**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 1\/4 in -4\/7, 1.3, -0.24, -118, 1?\nAnswer: -0.24","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 59*p**4 + p + 1301 wrt p.\nAnswer: 236*p**3 + 1","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*m = -6*m - 28. Let k be 1370\/(-70) - (-6)\/m. Let v = 22 + k. Let r(t) = 2*t**2 - t + 1. Calculate r(v).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(k) = k**2 + k + 1. Let m(z) = 5*z**2 + 11*z + 7. Let y(h) = m(h) - 4*s(h). Let a be y(-7). Let 1\/2*j**4 - 1\/2*j**2 + 1\/2*j**a - 1\/2*j + 0 = 0. What is j?\nAnswer: -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in -0.05, 972, -2\/7, -3?\nAnswer: 972","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let d(n) = n**2 - 102*n + 997. Give d(11).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let o(i) be the first derivative of -2*i**6\/3 + 4*i**5\/5 + 319. Factor o(l).\nAnswer: -4*l**4*(l - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: 2 divided by -38345\nAnswer: -2\/38345","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 66207 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: What is prob of sequence rkak when four letters picked without replacement from ekrekakeake?\nAnswer: 1\/330","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*l - 18 = m, -7*l - 31 = -2*l - m. Is l greater than or equal to 30?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 4 plus -205789407?\nAnswer: -205789403","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is -973.63838 + 1822?\nAnswer: 848.36162","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Divide 1401840 by -11880.\nAnswer: -118","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) -2\/7 (b) 0.4 (c) 0.336\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let n(f) = 3*f**2 - 68*f + 317. Calculate n(22).\nAnswer: 273","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 525 and 225.\nAnswer: 75","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let z(m) = 259*m**2 - 119*m. Let d(l) = 13*l**2 - 6*l. Let k(x) = -119*d(x) + 6*z(x). Let t(o) = -o**2. Determine k(t(c)).\nAnswer: 7*c**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 1\/1312 and 47\/3264.\nAnswer: 133824","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8*w - 240 = 12*w. Let b be 1\/(5\/(0 + 15)) - w. Solve 15*h = 18*h - b for h.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence hos when three letters picked without replacement from iihsho.\nAnswer: 1\/60","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-2451)\/(-54) + 4\/8 + (6716\/(-414))\/(-146).\nAnswer: 46","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*s**2 - 209355*s + 418690 = 0. Calculate s.\nAnswer: 2, 41869","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 9 - 15. Let g(r) = 10 - 1 + 4 + r. Let i be g(h). Solve -6*c + 2*n + 6 = -2*c, n + i = 4*c for c.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 9799831 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 21 + 0 - (39 + (-114 - -45)).\nAnswer: 51","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 1380 and 13955.\nAnswer: 3851580","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let w(q) = q**2 - 12*q + 9. Let k be (-1)\/(1\/(-4)*-1). Let g(l) = 5*l + 6*l - 86*l**2 + 174*l**2 - 89*l**2 - 8. Let r(y) = k*g(y) - 3*w(y). Determine r(5).\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*x = -4*h + 54, -6*x + 2*x = -5*h + 68. Calculate the remainder when 46 is divided by h.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 15924753.831 + 33029.169. Let v = g - 15957812.000054. Let j = -29 - v. Round j to 5 dps.\nAnswer: 0.00005","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -13*z + 5*z + 3*z + 2*z.\nAnswer: -3*z","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -3*d + 3*u + 42, 178*u - 42 = -3*d + 89*u + 80*u for d.\nAnswer: 14","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -4 + 3.6. Let k = -23 + 28. Which is the second smallest value? (a) f (b) 0.3 (c) k\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) -2\/19 (b) -0.14 (c) -7\/68\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let p be 1\/(-4) + (-21)\/(-36). Let f = -2313\/115 + 101\/5. Which is the second biggest value? (a) 5 (b) f (c) p\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (138\/276)\/((-1)\/8). Suppose 0 = -2*j - j - 3. Which is the closest to x? (a) 0.4 (b) -4 (c) j\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 0.0393 - 0.0244. Round a to two dps.\nAnswer: 0.01","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 46124?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: ((-8008)\/322)\/13 + (-3 - -5)\nAnswer: 2\/23","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let v be ((-5)\/20)\/(1*(-1)\/2). Factor v*o + 1\/2*o**2 - 1.\nAnswer: (o - 1)*(o + 2)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*h + 3*z = 17, 5*h + 7 = -5*z + 27. Suppose -3*k = -3*j + 2145, 0 = -h*j - 5*k - 0*k + 3615. Is j a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:11 AM and 6:35 PM?\nAnswer: 564","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 37809 - 2*o - 18901 - 18908 + o.\nAnswer: -o","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 1684585 and 336917?\nAnswer: 1684585","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve 16*d + 7*q = -113, -8151*d + q = -8147*d + 9 for d.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*d - 4*d - 6 = -2*y, -4*d + 3*y - 11 = 0 for d.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.0003854511602 to 5 dps.\nAnswer: -0.00039","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 51\/5 of a litre?\nAnswer: 10200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 612906.\nAnswer: 2, 3, 7, 14593","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is five quarters of a litre in millilitres?\nAnswer: 1250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 11 - 56*k**3 - 57*k**3 + 101*k**3 - 39.\nAnswer: -12*k**3 - 28","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let g be 2\/(2*(-1)\/(-456)). Suppose -x - 7*x = -g. What is the tens digit of x?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -76 - -76.1592. Round q to 2 decimal places.\nAnswer: 0.16","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -0.035, 0, 51 in decreasing order.\nAnswer: 51, 0, -0.035","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let y(v) be the first derivative of -154*v - 131 + v**2 - 10\/3*v**3. Differentiate y(z) with respect to z.\nAnswer: -20*z + 2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 265101 is divided by 52928.\nAnswer: 461","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Factor 5*d**2 + 35514785*d + 106544310.\nAnswer: 5*(d + 3)*(d + 7102954)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 95219908 to the nearest integer?\nAnswer: 9758","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let v(g) be the third derivative of 1\/24*g**4 + 0*g**3 + g**2 + 0*g + 0. Let s(c) = c**2. Give v(s(w)).\nAnswer: w**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (17\/3)\/((-2)\/(-6)). Suppose a*y - 15*y - 26 = 0. What is the greatest common divisor of y and 26?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 9408517 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Sort 3, 355627, 1\/2, 2\/19 in increasing order.\nAnswer: 2\/19, 1\/2, 3, 355627","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: (0 + -3)*(-10)\/(-165)\nAnswer: -2\/11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -8 + 5. Let y(o) be the second derivative of -o**3\/2 - 7*o. Let p(n) be the second derivative of -5*n**3\/6 + 5*n. What is b*p(v) + 6*y(v)?\nAnswer: -3*v","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*m = -3*x + 20, 3*m - 2*x = 3 + 1. Suppose r + 25 = -m*r. Suppose -n - d - 71 = -73, -5*n - 5 = 2*d. Sort 2, r, n.\nAnswer: r, n, 2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 9408 and 1536?\nAnswer: 75264","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there in 32\/5 of a day?\nAnswer: 9216","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -2 - -4. Suppose 0 = -2*u - 8, 5*u = -2*n - 18 + i. Let z be (n\/2)\/((-2)\/8). Put -5, 1\/11, z in descending order.\nAnswer: 1\/11, z, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 596 - 596.00000286. Round a to six decimal places.\nAnswer: -0.000003","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*k = 3*k + 12 for k.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1214 = 17*f + 1248 for f.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0, -478, 0.2, 3, 1 in decreasing order.\nAnswer: 3, 1, 0.2, 0, -478","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let r(a) = 8908*a + 347404. Determine r(-39).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 59.4685 nanograms in micrograms?\nAnswer: 0.0594685","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: -1.2*31\nAnswer: -37.2","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (d\/(d\/(d*d**34)))\/d**(14\/5) assuming d is positive.\nAnswer: d**(161\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) -3.6 (b) 2\/17 (c) -7\/13\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: 0 divided by -14491\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 543 minutes after 1:29 AM?\nAnswer: 10:32 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 45 = t - 6*t. Let g be (-60)\/16*-4*(-2)\/(-6). Let i(f) = -f**2 + 10*f - 26. Let y be i(g). Put 4, t, y, 5 in increasing order.\nAnswer: t, y, 4, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_test"},"subset":"dm_maths"} +{"text":"Question: What is the value of -7 + (-3)\/(-3) - (6\/(-1) + 8)?\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: -0.5+3.61\nAnswer: 3.11","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*w = -5*l - 2, 107*l + 1 = -w + 111*l. Which is the closest to 36? (a) 1 (b) 4 (c) w (d) -5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(a) = -a**2 + 6*a + 10. Let p(c) = -c**2 + 6*c + 11. Let h(y) = 2*p(y) - 3*r(y). Let s be h(7). Put s, 3, -4 in decreasing order.\nAnswer: 3, s, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(p) = -p**3 + 8*p**2 + 9*p - 11. Let d be y(9). Let v = d + 17. Suppose 5*m - 2 = -c + 2*c, 3*c + v = -2*m. Solve m = x + 2 - 4 for x.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m be -1*(3 + -2 + -1). Suppose 3*q + m*t - 24 = 2*t, 2*q - 17 = t. Is q composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(r) = r + 193. Let u be h(0). Suppose 5*t - u = -5*g + g, 5*t = -2*g + 189. Is t a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (i - i - i**2 + (-i - 2 + 2)*(-1 + 2*i + 1) + 1 - 1 - 2*i**2)*(11687*i - 2*i**2 - 11727*i + i**2 - i**3).\nAnswer: 5*i**5 + 5*i**4 + 200*i**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*o = -76*o + 474. Solve 0 = 5*i, 3*w - i = 5*w + o for w.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 94 or 228?\nAnswer: 228","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is -4 times -4.7?\nAnswer: 18.8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1395199.\nAnswer: 13, 107323","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 240026 is divided by 2243?\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let x(l) be the second derivative of -12*l + 4*l**3 - 6*l**3 - 10*l. Let g(r) = -2*r**2. What is g(x(t))?\nAnswer: -288*t**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let z(r) = 2*r**3 - 7*r**2 - 4*r + 2. Let h be z(4). Let j be ((-24)\/(-15))\/(h\/25). Differentiate 11 + d - j*d**2 + 6*d - 7*d with respect to d.\nAnswer: -40*d","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((v*v\/v**(1\/5))\/(v*v\/((((v\/(v*v**7*v))\/v)\/v*v*v*v)\/v)))\/(((v*v**(-1)\/v)\/v)\/v)**6 assuming v is positive.\nAnswer: v**(49\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {e: 1, w: 1, f: 4, x: 4}. Give prob of sequence wfx.\nAnswer: 1\/45","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 105\/7696 and -85\/2848?\nAnswer: 1369888","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Expand -2*o**5 - 4*o + 4*o + 3*o - 3*o - o**5 - 2*o**5 - 3*o**4 + 3*o**4 - o**5 + 2*o**5 + o**5 + (0*o**2 + 2*o**2 - o**2)*(0 + 0 - o**3).\nAnswer: -4*o**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (-30)\/(-12) - (1 + 9\/(-6)). Let v(p) = -2*p**3 + 1 + p**3 + 4*p**2 + 2 - 3*p. Give v(b).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 4785259 to the power of 1\/3, to the nearest integer?\nAnswer: 169","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: -362912 - -1925.74\nAnswer: -360986.26","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) -0.5 (b) -1\/3 (c) -2.6 (d) 160 (e) -2\/5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 18683 and 828835?\nAnswer: 119","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*l - 7*l - 91309 = b, -3*l - 9 = 0. What is b rounded to the nearest one hundred thousand?\nAnswer: -100000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(g) = -g + 1. Suppose -10*t - 5 = -5*t. Let f(d) = -11*d**2 + 6*d - 23. Let a(p) = t*f(p) - 6*u(p). Differentiate a(y) with respect to y.\nAnswer: 22*y","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (-98)\/(-35) + (1 - 3). Let z = 8.541 + -0.141. Let t = 8.7 - z. What is the third smallest value in t, d, -4?\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*s - 41 - 47 = 5*v, 0 = 2*s + 4*v + 44. Let j = s + 31. Suppose 0 = -2*k - 3*k + 50. Calculate the smallest common multiple of k and j.\nAnswer: 90","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -2? (a) -460 (b) 0.1062 (c) -1.6 (d) -0.1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*x - 5*x = 2*j, 0 = j + 4*x - 5. What are the prime factors of ((-14)\/j)\/(2\/6)?\nAnswer: 2, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -131\/60 and 103\/2187690?\nAnswer: 4375380","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*o = -2*b - 30, 6*b - 2*b = -20. Suppose -o = -2*i - 6. Does 9 divide i\/(1\/(-27)*3)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 191368577 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify z\/(z**(-3\/26)\/z)*z*z**37 assuming z is positive.\nAnswer: z**(1043\/26)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is 7 a factor of 90664?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve 38*b + 8 = 42*b for b.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 9034?\nAnswer: 2, 4517","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -44168*c**3*k**2 - 141983*c**2*k**2 wrt c?\nAnswer: -265008*k**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 1864867?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 80938 or 80932?\nAnswer: 80932","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Sort -18, -10, -37, -16 in decreasing order.\nAnswer: -10, -16, -18, -37","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 4665.8 - 4666. What is the nearest to -12.53 in z, 4, -0.5?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(f) be the third derivative of f**5\/120 + f**4\/16 - f**3\/3 - 19*f**2. Find d, given that s(d) = 0.\nAnswer: -4, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (-171)\/(-6) + 2\/(-4). Suppose 34*p - 78 = w*p. Calculate the remainder when 34 is divided by p.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 7913241.\nAnswer: 3, 7, 149, 281","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*w - 6 = 2*a - 6*a, 21 = -5*w + 4*a for w.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7*o = -6605 + 106831. What is the units digit of o?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*u - 37 = -5*r, -92*r + 9*u = 93*r - 187*r - 17 for r.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*i**2 + 12148*i - 12146.\nAnswer: -2*(i - 6073)*(i - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: -11 - (-13 + -5 + 2)\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2 + 5 - 2)*(-g**2 - 2*g**4 + g**2 - 2*g**3 - g**2).\nAnswer: -2*g**4 - 2*g**3 - g**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 369142158 a multiple of 5?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 2*c**4 + 38*c**3*j**3*v + 2*c**3*v + 2*c**2*j**2 + 9*c*j*v + 2*j**3*v - 4*j**3 + 12*j*v wrt c?\nAnswer: 48*c + 228*j**3*v + 12*v","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Put -443, 4\/5, 5107, -0.5 in decreasing order.\nAnswer: 5107, 4\/5, -0.5, -443","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let d be 15\/20 - (-106)\/8. What is the second derivative of -7*m**2 + 17*m**2 - d*m + 4*m wrt m?\nAnswer: 20","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 6 + -6.4. Let l = -48 + 52. Sort m, -5, l in descending order.\nAnswer: l, m, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -11 - 4 = -3*w. Suppose -u - 4*u - w = -3*a, -a - 1 = u. Suppose -3*g - 63 = -3*k, a*k - 7 = -2*k - 5*g. What is the tens digit of k?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: 255\/(-18 + 3) - 3*(-8)\/12\nAnswer: -15","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Does 85 divide 4561780?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 9 (base 10) in base 14?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-2)\/(-5)*22\/(2024\/(-115))*76?\nAnswer: -38","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of -847, -844, -839, -832, -823?\n\"Answer: f**2 - 848","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*z + 8 + 4 = 0, 0 = -t + 3*z + 7. Let w(j) = -1 - 2 - 1 - 5*j. Let u(p) = -15*p - 12. Let x(q) = t*u(q) + 7*w(q). What is the derivative of x(s) wrt s?\nAnswer: -5","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:49 AM and 5:40 AM?\nAnswer: 291","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) -1\/5 (b) 10621 (c) 0 (d) 12\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Sort -5, -1, 0, 3 in decreasing order.\nAnswer: 3, 0, -1, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let p(u) be the second derivative of -197*u**4\/4 + 7*u**3\/6 - u**2\/2 - 844*u. What is the second derivative of p(r) wrt r?\nAnswer: -1182","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 3\/4 in -12, 3, 1\/3?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 581751?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve -41*r + 9*r = 224 for r.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 30*j**3 + 24*j**3 + 25*j**3 - 76*j**3.\nAnswer: 3*j**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Express (2*v + 2 - 2)*(5 - 5 - 2*v**3) + (3*v - 3*v + 4*v)*(-v + v - 3*v**3) in the form c*v**3 + x*v**4 + q*v + k*v**2 + j and give x.\nAnswer: -16","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is 3531704843 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is 2\/4409 at least -76?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 19709 to the nearest integer?\nAnswer: 140","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let a(r) = -r**3 - 4*r**2 - 2*r - 11. Let f be a(-5). Suppose 19*j - f*j + 10 = 0. Let p(d) = -2*d**3 - 2*d - 272*d**j + 268*d**2 - 6 + 3*d**3. Calculate p(5).\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 80 and 123580?\nAnswer: 494320","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Express (3 - 1 + 1)*(-1190*u + 530*u + 503*u) - 34*u + 23*u - 33*u as a*u + j and give a.\nAnswer: -515","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is -11 (base 4) in base 9?\nAnswer: -5","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Round 79.231 to 0 dps.\nAnswer: 79","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence gg when two letters picked without replacement from {g: 4, q: 10, m: 2, f: 3}?\nAnswer: 2\/57","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (-1)\/(-3) + (-25)\/(-15). Suppose -4 = k*v - 28. Let i(a) = a**2 + 6*a + 8. Let t be i(-5). Calculate the highest common factor of v and t.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 28.502132643 rounded to 2 dps?\nAnswer: 28.5","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -p - 5, -7*m + 3*m - 3*p + 11065 = 0. What is the hundreds digit of m?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -822 + 1637. What is the tens digit of l?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 1\/4 in 69, -229.5, 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 352 is divided by 165.\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -15180 - -25291. Is q a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 53 divide 8715582?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let m(s) = 63*s + 81. Calculate m(6).\nAnswer: 459","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Put -84557, 4, -2, 88 in descending order.\nAnswer: 88, 4, -2, -84557","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 335 - 1032 - 21*u**2 + 353 + 344 - 59*u**2.\nAnswer: -80*u**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let t(l) = l**3 - 8*l**2 + 8*l - 2. Let z be t(7). Suppose 0 = 3*r, -z*q + 3*r + 548 = -172. Suppose -k - q = -3*k. Is k a multiple of 18?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 0 or 6\/563?\nAnswer: 6\/563","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3 + 3 - 2)*(-7*w - 10*w - 2*w)*(-2*w**3 - 5*w**3 + 6*w**3) + (2*w - 4*w - 2*w)*(18*w**2 - 10*w**3 - 18*w**2).\nAnswer: 116*w**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (u*u**(-6))\/u**16*u**(-29)\/(u*u**(4\/9)\/u) assuming u is positive.\nAnswer: u**(-454\/9)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Put 5, -2, 2\/11, 1\/3 in decreasing order.\nAnswer: 5, 1\/3, 2\/11, -2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let y(o) = -8*o**3 - 20*o - 10. Let n(i) = 4*i**3 + 10*i + 5. Let k(u) = 7*n(u) + 4*y(u). Let h(p) be the first derivative of k(p). Differentiate h(l) wrt l.\nAnswer: -24*l","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -403*z + 247*z + 172 = d, 2*z = -4*d + 66 for z.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -16.3 - -0.3. Let o = q + 19. Let j = o + -2. Sort 5, j, -2 in decreasing order.\nAnswer: 5, j, -2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is -1001001001011010111000110 + -100?\nAnswer: -1001001001011010111001010","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in -2, 3\/11, -4, 3\/2?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -5127446*q**4 + q**3 - 450*q**2 + q + 333 wrt q?\nAnswer: -123058704*q + 6","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let p(n) = -10 + 6*n - n - 4*n + 20. Let v be p(-7). Solve -2*j + 5*j - 3 = -v*c, 11 = 3*j - c for j.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(l) = 7 + 9*l - 18*l + 2*l + 9*l. Give q(-5).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 5040695 to the nearest integer?\nAnswer: 171","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is -486.997222968 - -67?\nAnswer: -419.997222968","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let q(o) = 8*o - 115. Give q(12).\nAnswer: -19","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5 = -n + 4*z, -108149*n - 9*z = -108154*n + 14 for n.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*p + 1747 = -4*m - 281, -5*p - 2*m = -3380. Let l = -765 + p. Which is bigger: l or -353\/4?\nAnswer: -353\/4","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(n) = -66*n - 5268. What is d(-101)?\nAnswer: 1398","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (q**0)**47\/(q**(-9)\/q*q)**(2\/7) assuming q is positive.\nAnswer: q**(18\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let h be 0\/33*(-1)\/2. Let s(w) be the third derivative of h*w - 1\/8*w**4 + 9*w**2 - w**3 + 0. What is the derivative of s(g) wrt g?\nAnswer: -3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 10.969113 months to decades.\nAnswer: 0.091409275","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: 143 times -452.2\nAnswer: -64664.6","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 33*z - 199 = 526 + 166. Calculate the greatest common factor of 2283 and z.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1524 is divided by 191.\nAnswer: 187","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence foj when three letters picked without replacement from {j: 1, g: 2, r: 1, f: 2, o: 1, k: 1}?\nAnswer: 1\/168","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Put -196, 5, -87, -5 in ascending order.\nAnswer: -196, -87, -5, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 52628.\nAnswer: 2, 59, 223","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is (2 - 7 - 0) + 21314496\/28 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (-1 - 1)*(-1)\/2. Let m be -5 - 2 - (p - -1). Let g(l) = l**2 + 9*l + 5. Calculate the remainder when 14 is divided by g(m).\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 5 (base 7) to base 2.\nAnswer: 101","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Does 111 divide 1731458?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -12033 - -12033. Which is the second biggest value? (a) 0.1 (b) 751 (c) 1 (d) v\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 15409536767 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let i(m) = -m**3 + 6*m**2 + 2*m - 18. Let c be i(-5). Let r be 120\/780 - (-1)\/c*-51. Let j(l) = -l + 5. Let z be j(4). Which is smaller: z or r?\nAnswer: r","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 3806 <= 3805?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is (-9 - 9\/(-3)) + 4?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 4*p**2 + 0*p**2 + p**2 - 6*p**2.\nAnswer: -p**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 1549390556 to the nearest integer?\nAnswer: 39362","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: How many centimeters are there in one tenth of a meter?\nAnswer: 10","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let u(y) be the first derivative of y**4\/2 + 4*y**3 + 12*y**2 + 16*y + 8. Let u(n) = 0. Calculate n.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -1 - (-178 + 206 + (-1 - 0)).\nAnswer: -28","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 1048 - 612. List the prime factors of t.\nAnswer: 2, 109","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 2986 by 2.\nAnswer: 1493","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let m(n) = -3*n**3 + 3*n + 2. Let v be m(-4). Let u be (117711\/22)\/29 - (19 + -16). Is u not equal to v?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(k) = 147*k**2. Let y(o) = 58*o + 10. Let a(q) = 18*q + 3. Let d(p) = -10*a(p) + 3*y(p). Give f(d(n)).\nAnswer: 5292*n**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let f be 3\/(-5) + 299\/65. Factor 4*w + w**2 - 2*w**2 - f - 4*w**2 + 4*w**2.\nAnswer: -(w - 2)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -4015 + 4014.6. Which is the nearest to -3\/2? (a) -62 (b) -0.5 (c) 0.5 (d) n\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 21 less than -12.894?\nAnswer: -33.894","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*n**3\/5 + 156*n**2\/5 - 306*n\/5 + 152\/5.\nAnswer: -2*(n - 76)*(n - 1)**2\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (-14)\/(-8) + 1\/4. Suppose -2*x - 5*u + 57 = 2*x, 4*u - 4 = w*x. What is the least common multiple of x and -1 + 1 + 14 - (10 - 6)?\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 22456 and 111478?\nAnswer: 802","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*s - 4*d + 368 = 0, 2*d - 6 = -0*d. What are the prime factors of (s\/(-4))\/(22\/(-88))?\nAnswer: 89","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence gs when two letters picked without replacement from ssssggsg?\nAnswer: 15\/56","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let d(j) = 1 - 1 - 2*j**2. Let m(g) = 13*g**2 + 9. Let r(o) = -3*o**2 - 2. Let c be (2\/(-7))\/((-2)\/14). Let v(y) = c*m(y) + 9*r(y). Calculate v(d(x)).\nAnswer: -4*x**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*a + 10 = 5*w + 9, -w = -a + 1 for w.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let d(k) = 8*k - 13. Let q be d(4). Let z = q - 15. Suppose -10*c + 18 = -2. Solve -18 = -z*v + c for v.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 1\/2? (a) 2.5 (b) 1 (c) -1 (d) -4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 29812 = 971*r + 363*r - 2204 for r.\nAnswer: 24","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 3\/(6\/20) + 3124\/(-286).\nAnswer: -12\/13","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is 6900670579 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 103517383 is divided by 22.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 3084672925?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let y(v) = -v**3 - 3*v**2 + 7*v + 6. Calculate y(-4).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let u(f) = f**2 + f + 1. Let o be u(3). Suppose -230 + 48 = 14*s. Let a = s + o. Is a equal to 0?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0*b - 591 = -23*b - 959 for b.\nAnswer: -16","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*t + 17 = -i, 4*i + 0*i - 9 = 3*t. Let s be (-4)\/14*t\/(-15). Which is the biggest value? (a) 5 (b) -4\/5 (c) s\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(r) be the second derivative of -17*r**4\/2 - 103*r**2 - r - 7. Differentiate d(v) with respect to v.\nAnswer: -204*v","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 17991 a multiple of 4?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Express -195*u**2 + 68 + u + 196*u**2 - 67 + u**3 as f*u**3 + h + v*u**2 + n*u and give h.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Put -1\/5, 1\/7, 3, 2\/39 in descending order.\nAnswer: 3, 1\/7, 2\/39, -1\/5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 7884 and 1022?\nAnswer: 55188","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence en when two letters picked without replacement from {e: 4, n: 2}.\nAnswer: 4\/15","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from pdpddd. Give prob of picking 1 p and 2 d.\nAnswer: 3\/5","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Divide 4 by -2.\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -0.145 - 44.855. Let a = -53\/10 - -11\/2. Sort a, 0.1, o in decreasing order.\nAnswer: a, 0.1, o","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is ((6\/4)\/(-1))\/(13\/((-676)\/91))?\nAnswer: 6\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -14*t + 14*t - 3*t**2.\nAnswer: -3*t**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is 2211101210120222 + 210?\nAnswer: 2211101210121202","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in -3\/2, 9, -3.9, -262, 4\/33, -0.4?\nAnswer: 9","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.0315073102 rounded to four dps?\nAnswer: 0.0315","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -2161 - -4580. Is a prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(t) = -31*t**3 - 1. Let u be s(-1). Suppose -5*x + 0 = -u. Solve 19 + x = 5*f for f.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(u) = 481*u**2 + 65*u - 65. Let o = -83 - -85. Let p(n) = -15*n**2 - 2*n + 2. Let m(h) = o*j(h) + 65*p(h). Let d(k) = 7*k. Give d(m(q)).\nAnswer: -91*q**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0.2? (a) 2\/3 (b) -4 (c) 4 (d) -1\/6\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 341044014 to the power of 1\/3, to the nearest integer?\nAnswer: 699","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 21763?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 1513, 3036, 4557, 6076?\nAnswer: 7593","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let n(x) be the third derivative of x**6\/120 + x**5\/20 - x**4\/24 - 2*x**2. Let c be n(-3). Suppose -5*f = -5*j + 5, 6*f = 2*f + c*j. Solve 5*b - 2 = f*b for b.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(i) be the first derivative of 0*i**3 + 0*i**4 + 51*i + 71\/5*i**5 - 33 + 0*i**2. What is the derivative of q(l) wrt l?\nAnswer: 284*l**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(r) = -r**3 - 2*r**2 + r - 1. What is m(-2)?\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is (42\/(-4))\/(5\/((-170)\/(-17)))?\nAnswer: -21","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:53 PM and 3:00 AM?\nAnswer: 607","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 17587 - 17587 - 20*v**3.\nAnswer: -20*v**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let a(w) = 46*w + 6. Let g(p) = 1221*p + 374. Let q(u) = -94*u - 29. Let c(r) = 6*g(r) + 77*q(r). Let f(z) = -11*a(z) + 6*c(z). Let v(d) = d. Determine v(f(l)).\nAnswer: 22*l","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: -35 (base 7) to base 13\nAnswer: -20","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 69196 or 69195?\nAnswer: 69196","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Expand -m**2 + m**2 + m**4 + (-m + 6*m - 2*m)*(2*m**2 - 2*m**3 - 2*m**2) + 10*m**4 - 99*m**4 + 11*m**4.\nAnswer: -83*m**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let f(z) = -180*z - 2421. What is f(-13)?\nAnswer: -81","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Factor 0*c**3 + 3\/2*c**4 - 12 - 33\/2*c**2 - 27*c.\nAnswer: 3*(c - 4)*(c + 1)**2*(c + 2)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -12 take away -2883599576?\nAnswer: 2883599564","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -1935, -3877, -5817, -7755?\nAnswer: -9691","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 351 and (0\/(-6) + -2)*(0 - (-4095)\/(-14)).\nAnswer: 1755","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 14 + -12. Let v(x) = -x**3 + x**2 - x + 2. Give v(q).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(b) = -3*b - 8. Let d be a(-4). Solve -d*y + 2 = -5*y for y.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(22)\/sqrt(2) + -2 + 2 + sqrt(44).\nAnswer: 3*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2 = -w + b, -4*w + 3*b + 3 = -4. Let p(r) = r**2 - r + 1. Let l(h) = h**2 - 1. Give w*p(y) + l(y).\nAnswer: 2*y**2 - y","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is 41564029183 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let p(x) be the third derivative of -101*x**5\/30 + x**4\/12 + 235*x**3\/2 - 245*x**2. Differentiate p(q) wrt q.\nAnswer: -404*q + 2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 68*b - 88*b**3 - 389*b - 95*b**3 + 276*b**3 - 96*b**3 in the form a*b + o*b**2 + z*b**3 + l and give a.\nAnswer: -321","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 177 and 795?\nAnswer: 46905","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of -61246577, -61246574, -61246571, -61246568, -61246565, -61246562?\n\"Answer: 3*o - 61246580","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 456 and 24288.\nAnswer: 461472","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:30 AM and 7:55 AM?\nAnswer: 265","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let s(g) = -2. Let j(n) = -16*n - 155. What is j(b) + 11*s(b)?\nAnswer: -16*b - 177","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 148408 is divided by 7810.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Add together 105060416690 and 73.\nAnswer: 105060416763","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 24 + -4. Let k = -16 - -20. Let y be x\/5*(-3)\/k. Do y and -3 have the same value?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 5 a factor of 11945?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Convert 0.6843183 millilitres to litres.\nAnswer: 0.0006843183","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) 0 (b) -0.079 (c) -15.43 (d) 3\/2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 9*n**2 - 45*n + 45*n - n**2.\nAnswer: 8*n**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-2*2*3*sqrt(288)*-2 + sqrt(14)\/(sqrt(42)\/(sqrt(24)\/sqrt(4) + sqrt(6) + sqrt(6) - sqrt(6))) + sqrt(16)\/(sqrt(200)*2))**2.\nAnswer: 8415801\/50","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose f + f - 40 = -4*d, 0 = -5*f + 20. Let p = 1331 - 1361. Let l be (p\/d - -4)*68. Calculate the highest common divisor of 68 and l.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*o = 4*q + 2550016, 5*o + 6*q = q + 2549980. Round o to the nearest one hundred thousand.\nAnswer: 500000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 1239 = -8*k - 2761. Let t = 514 + k. What is the remainder when 61 is divided by t?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u be 272 - (20 - 24)*1\/(-2). Suppose u = -21*m + 24*m. What is the tens digit of m?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 4 + -6*(0 + 6*(-1 + sqrt(612)) + sqrt(612) + 0 + 2*sqrt(612))**2.\nAnswer: -297644 + 3888*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 2187766?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 3195\/(-39) + (-1164)\/(-1261).\nAnswer: -81","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 1376?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 6026 + -6029. Let r = 4 - 4.3. What is the fourth biggest value in l, -12, r, -3\/2?\nAnswer: -12","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -777.144 - -778. Let k = 6.134 + h. What is k rounded to one dp?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 22.02*14937.\nAnswer: 328912.74","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 680 minutes after 11:48 PM?\nAnswer: 11:08 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 2830 and 271680.\nAnswer: 271680","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let b(x) = 3550*x + 685072. Give b(-193).\nAnswer: -78","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let a(i) = 4*i**2 - i**2 - i**2. Let h(d) be the first derivative of 19*d**3\/3 + 3425. What is h(a(z))?\nAnswer: 76*z**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Sort -22, 2770, 859 in increasing order.\nAnswer: -22, 859, 2770","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 1635885?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-2 - 2 + 3)*(3*o - 4*o - o) - 2*o + 5*o - o + 385*o + 63 + 359*o - 759*o to the form x + f*o and give f.\nAnswer: -11","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -0.043 + -68.957. Let t = y + 69.5. Put t, -1\/5, 0.59 in decreasing order.\nAnswer: 0.59, t, -1\/5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (v + 5*v - 3*v)*(8 - 8 + 6*v**2)*(1 + 614*v**2 - 3279*v**2 + 24*v**2 - 1).\nAnswer: -47538*v**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0? (a) -1\/128 (b) -2\/3 (c) -1927 (d) -13\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is 2682119137 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*l - 5*n - 13249, 0 = 9*l - 14*l + 4*n + 22060. What is the hundreds digit of l?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 1274466365?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*w - 124 = -3*h, 4*h + w - 194 = 3. Is 10 a factor of h?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (16\/(-28))\/4 - 13350\/336. Is -39 at most as big as d?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 14517?\nAnswer: 3, 1613","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {c: 1, l: 1, z: 2, y: 7, v: 3}. What is prob of sequence zz?\nAnswer: 1\/91","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-6)\/8)\/(14\/56)*(-3)\/(-1)?\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify p\/p**(-2\/5)*p*p**(-3\/5) assuming p is positive.\nAnswer: p**(9\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -8 + 9. Solve f = t - 3 for t.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 22880220 is divided by 3089.\nAnswer: 3086","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth smallest value in -2\/3, -0.5, 4, 3, -77?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let f(d) = -d**3 - 5*d**2 - d + 6. Determine f(-5).\nAnswer: 11","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let z(o) = 4*o + 11 - 13 + 3*o. Let u be z(1). Solve 0 = -u*x - c + 25, 4*c + 0*c - 32 = -3*x for x.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -67, -13, 59, 1, 0 in decreasing order.\nAnswer: 59, 1, 0, -13, -67","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let c(z) = z**2 + 5*z - 5. Let i be c(-6). Let t = 2 + i. Suppose 2*b = b + t. Solve -o - b = -0*o for o.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(b) = -13*b**2 + 3. Let i(n) = 16*n**2 - 4. Calculate -4*i(g) - 6*w(g).\nAnswer: 14*g**2 - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 0.23 - 0.33. Put a, 2\/21, 1\/3 in descending order.\nAnswer: 1\/3, 2\/21, a","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 3948, 30687, 103002, 243681, 475512?\nAnswer: 821283","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -0.83 + 3.95. Let f = 0.12 - h. Let y = 0.1263 + -0.3263. Which is the biggest value? (a) -1\/2 (b) -4 (c) f (d) y\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 251 minutes before 5:40 PM?\nAnswer: 1:29 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -10955*q + 2193*q + 2190*q + 2199*q + 2189*q + 2180*q.\nAnswer: -4*q","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*t + 31 = -5*k, 85*t + 5*k - 41 = 83*t. What is the lowest common multiple of t and 272?\nAnswer: 2448","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the seventh smallest value? (a) 18 (b) -2 (c) 0 (d) 1 (e) 21 (f) 5 (g) -1\/2\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is 11 a factor of 4607?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 240 and 7056.\nAnswer: 48","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 255*s**5 + 21*s**2 + 8?\nAnswer: 15300*s**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8 = -f - 3. Factor -17*z**2 + 18*z**3 + 9*z**4 + 18 + 77*z**2 + 57*z - 13*z**5 - 15*z**4 + 10*z**f.\nAnswer: -3*(z - 3)*(z + 1)**3*(z + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {z: 3, i: 7, c: 4, x: 1, a: 4}. What is prob of sequence axai?\nAnswer: 7\/7752","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 965 to the nearest integer?\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is 6\/4195325 bigger than 1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 36\/21 - (9972\/(-63) - -64)?\nAnswer: 96","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 3*s**2 + 831 - 831.\nAnswer: 3*s**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is 72219 a multiple of 21?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is 23311 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let f(l) = 56*l**2 - 2*l + 1. Suppose -5*k + 2*w = -13, -4*k - 2 = -2*k + w. What are the prime factors of f(k)?\nAnswer: 5, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: -672 (base 8) to base 6\nAnswer: -2014","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) -2\/93 (b) -11\/5 (c) 2\/171 (d) -0.5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 7553991?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let 2*u**4\/17 + 16*u**3 - 12594*u**2\/17 - 1996280*u\/17 + 2008600\/17 = 0. Calculate u.\nAnswer: -110, 1, 83","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.00000018762458 to seven dps.\nAnswer: 0.0000002","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Express -27*z**3 + 1 - 34*z**3 + 236*z**2 - 235*z**2 - 31*z**3 as b*z**2 + n*z**3 + m*z + t and give n.\nAnswer: -92","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 3809?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let k(o) = o**3 - 14*o**2 + 45*o + 21. Let i be k(6). Solve -u = -g - 0*g + 4, i*g - 13 = 4*u for g.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -45 = -3*i + z, -4119*i + 4124*i - 58 = -4*z for i.\nAnswer: 14","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 296 minutes after 3:20 PM?\nAnswer: 8:16 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let z(q) = -2*q - 5. Suppose 2 + 3 = s. Let y(h) be the second derivative of -7*h**3 + 0*h - 2*h + 6*h**3 - 7*h**2. Calculate s*y(f) - 14*z(f).\nAnswer: -2*f","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 38 and 228?\nAnswer: 38","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -0.39 + -1.61. What is the closest to 2\/3 in 5, y, 3?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 4589.509mm in micrometers?\nAnswer: 4589509","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 1 = 2*q - 11. Let l(j) = j. Let f be 2 + ((-2)\/(-1))\/2. Let k = f - 4. Let y(w) = 7*w. Calculate k*y(d) + q*l(d).\nAnswer: -d","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -16446, -16447, -16448, -16449, -16450, -16451?\nAnswer: -16452","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -0*x + 3*x - 128 + 146, 4*s - 42 = 7*x. Find m such that -9\/7*m - 1\/7*m**3 + s - 6\/7*m**2 = 0.\nAnswer: -3, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -4*g**4 - 480*g**3 - 15328*g**2 - 55680*g - 53824.\nAnswer: -4*(g + 2)**2*(g + 58)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 592000 rounded to the nearest 1000000?\nAnswer: 1000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -299*v + 303*v - 72 = 0. Let u be (v\/15)\/((-18)\/(-90)). Suppose -2*z - x + 8 = 3*x, 5*x - 4 = -z. Solve -u = z*g + 2 for g.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(v) = 8*v + 16. Let p be c(14). Calculate the greatest common divisor of p and 8.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l be 0 + (-90)\/(-3) + 1. Calculate the remainder when -1 + 0 + 5 + l is divided by 12.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*o + 8 = 2*b, -4*b - 21*o + 6 = -22*o for b.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let z(r) = 6*r + 35. Let h = 13 - 9. Let d(y) = -y + 1. Let o(s) = h*d(s) + z(s). Let g be o(-18). Solve -5*p - 8 = -g*f, -2*f + f + 3*p = -8 for f.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 11044, -149, 0.39.\nAnswer: -149, 0.39, 11044","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -5 + (-3 - -6) - 2?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Express -137*v + 148*v + 407*v + (2*v + v - 4*v)*(0 - 4 + 3) - 3*v + 6*v - v + 4 - 4 - v in the form y*v + i and give y.\nAnswer: 420","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve 297129*d = 297127*d - b - 12, 36 = -5*d - 3*b for d.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let j(i) = -i**3 + i**2 - i. Let l(m) = -4*m**3 + 6*m**2 - 8*m. Let s = -7 + 11. Suppose -s*r + 3*r = -6. What is r*j(a) - l(a)?\nAnswer: -2*a**3 + 2*a","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 11950 - 11947. Solve 4*d = 3*d + 5*u - 28, -18 = d - h*u for d.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*w - 29 + 19 = 0. Let k(i) = -2*i**3 - 2*i**2. Let t be k(w). Calculate the highest common divisor of 16 and t.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -19961*-1.\nAnswer: 19961","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is -3 (base 13) in base 9?\nAnswer: -3","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose i + 17 = -5*r, -2*r - 3*i - 15 = r. Which is the fourth biggest value? (a) 4 (b) -4\/9 (c) r (d) -0.3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(s) = -3*s**3 - s**2 + 12. Let g(x) = 4*x**3 + 3*x**2 - 12. Give 5*g(d) + 6*w(d).\nAnswer: 2*d**3 + 9*d**2 + 12","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is 15674830819 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2 = 2*n - 10. Suppose o - 3*i - 9554 = 9346, -75600 = -4*o - n*i. Round o to the nearest 1000.\nAnswer: 19000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (6 + 112\/(-21))*(-2 - 1). Let b(d) = d + 27. Let u be b(-23). Sort u, 3, t in decreasing order.\nAnswer: u, 3, t","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1231 divided by 350?\nAnswer: 1231\/350","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 2\/9? (a) 111\/2 (b) 2 (c) -0.01\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 23*a = 17*a + 120. What is the remainder when (34\/6)\/((-3)\/(-18)) is divided by a?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 327 minutes after 3:50 AM?\nAnswer: 9:17 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is y in y**2 + 116*y + 3364 = 0?\nAnswer: -58","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -576 + 1745. Suppose 0 = -9*f + l + 127. Let r = 13 + 3. What is the greatest common divisor of f and r?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*t - 10 = -2*u, -5*u + 3*u - 5 = 3*t. Let j = -6 - -4. Which is smaller: j or t?\nAnswer: t","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 i and 1 f when two letters picked without replacement from fwvwffhwfih?\nAnswer: 4\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-8 + (-364)\/(-45))*(-10)\/4.\nAnswer: -2\/9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 468471389, 468471388, 468471387, 468471386, 468471385?\nAnswer: 468471384","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 24.991 + 1319.009. Which is greater: m or 0.5?\nAnswer: m","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 528 minutes before 10:31 AM?\nAnswer: 1:43 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 21 and 252?\nAnswer: 252","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let y(o) = -39 - 15*o**2 + 10*o**2 - 3*o + 5 + 3*o**2 + 3*o**2. Calculate y(7).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (w**0)**(-6\/7)*w**15*w**(-6) assuming w is positive.\nAnswer: w**9","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Does 8 divide 1*(-36)\/(-5)*(-560)\/(-42)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 16 - 15. Let s = 4 + -2. What is the greatest common factor of t and s?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g be ((-20)\/(-12))\/(3\/36). Let p = 5 + -5. Let i = p + g. Solve i = -l + 5*l for l.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in -2\/5, 2\/13, 0, 1\/2, 1.63, -51?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -15 = 4*h + 17. Let v = -19 - h. Let c be 2\/11 - 31\/v. Solve -4*z = w - 19, -5*w - c = -2*w for z.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -69 - -101. Let j(k) = -57*k - 1. Let x be j(-1). Let q be (-4)\/6 + x\/12. Calculate the highest common divisor of q and p.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 2 + -1. Let k be (t\/(-2))\/((-7)\/14). Let u be (-18)\/30*5\/k. Put 2, 0, u in decreasing order.\nAnswer: 2, 0, u","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 32107 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 24 and 132.\nAnswer: 264","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is -66883 (base 11) in base 3?\nAnswer: -11220220120","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -41 - -40. Suppose -3*p - 15 = -2*p + 5*k, 0 = 4*p + k + 3. Sort -0.2, j, p, -0.03.\nAnswer: j, -0.2, -0.03, p","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 752 to the power of 1\/3, to the nearest integer?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 3 + -3*143\/132 + 185\/20.\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(f) = 3*f + 32. What is the lowest common multiple of w(-7) and 4?\nAnswer: 44","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*y + 4 = 0, -5*v + 2*y - y = 4. Let r be (-384)\/18 - v\/3. Let q = r - -44. Does 17 divide q?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (1 - 3 - (4 - 3)) + 2?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -0.09 + 0.19. What is the second biggest value in g, 2\/9, 1\/2?\nAnswer: 2\/9","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of -27848, -27847, -27846, -27845, -27844?\n\"Answer: z - 27849","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 424 is divided by 50?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from uyytuttlnlft. What is prob of sequence yyn?\nAnswer: 1\/660","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 6? (a) -2.658 (b) -5 (c) 1.33 (d) -25\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is 1313290599 a multiple of 240?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: -43442 (base 6) to base 9\nAnswer: -8208","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -8*g**5 + 2*g**4 + 415*g**2 + 1?\nAnswer: -480*g**2 + 48*g","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -11866 + 12920. Calculate the remainder when w is divided by 29.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -842*n**2 + 21659*n wrt n.\nAnswer: -1684","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 345565?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve -49099 = -27711*i - 14635 + 48669 for i.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((1 + (2*sqrt(252) + 1 - (-3 + 2*sqrt(252)) - sqrt(252)*3*3*-4))*-6)**2.\nAnswer: 77760*sqrt(7) + 11758212","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in -0.4, -6, 8\/7, 3?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -71418*i + 35645*i + 35774*i.\nAnswer: i","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -80*b + 81*b = 6. List the prime factors of b.\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 3, 0, 395, 1375, -3 in ascending order.\nAnswer: -3, 0, 3, 395, 1375","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is 4757009 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (g**(-1\/2))**(2\/59)*(g**1\/g)**(-28) assuming g is positive.\nAnswer: g**(-1\/59)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence geg when three letters picked without replacement from ggdddgdegdg?\nAnswer: 2\/99","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-776 + 58*g + 632 - 62*g)*(2*g**2 - 2*g**2 + g**3) to i*g**4 + f*g**2 + t*g + d + p*g**3 and give i.\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -92*s - 26*s + 4720. Calculate the greatest common factor of s and 1704.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -949222.686288087 minus -0.4?\nAnswer: -949222.286288087","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 645 is divided by 50?\nAnswer: 45","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: How many grams are there in 3\/25 of a kilogram?\nAnswer: 120","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let w(n) = 376*n**2 - 211*n + 5. Let b(y) = 383*y**2 - 213*y + 6. Let q(f) = 3*b(f) - 4*w(f). What is the second derivative of q(m) wrt m?\nAnswer: -710","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 23784\/83293 + 2\/11899. What is the nearest to 0 in 0.039, v, 1\/2, -10?\nAnswer: 0.039","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 3307941 and 2992899?\nAnswer: 62850879","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let o be -5*(-2 - (-3)\/3). Let y = -9 - -8.99. Let d = 0.51 + y. Which is the smallest value? (a) o (b) -2 (c) d\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 503 is divided by 36?\nAnswer: 35","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -2\/11045 in 3, 1, -4?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 49*g = 52*g - 3. What is the smallest value in -2, g, -202?\nAnswer: -202","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 418 minutes before 2:45 PM?\nAnswer: 7:47 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of -1251, -1236, -1231, -1242, -1275, -1336?\n\"Answer: -b**3 + b**2 + 19*b - 1270","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.1 take away 0.0641?\nAnswer: 0.0359","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -405.66 + 404. Let v = 13.39 + -11.649. Let q = v + c. What is q rounded to 2 decimal places?\nAnswer: 0.08","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -144 - -144. Solve -k + 3*k + 4 = m for k.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 254064497.\nAnswer: 254064497","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 2229?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:56 AM and 9:13 PM?\nAnswer: 677","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 5 + 3. Let z(l) = 5*l + 5. Let u be z(a). Calculate the highest common factor of 18 and u.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2 + 1 = z, -z = 6*u + z + 18 for u.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((w\/(w*w**(2\/3)))\/w)\/w)**(-17)*(w**6)**(-47) assuming w is positive.\nAnswer: w**(-710\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let q(a) = a**2 - 2*a - 12. Let n be q(-3). Let d(b) = 2*b - 1. Let j be d(n). Suppose j*m = -0*m - 5*f + 125, -2*m = -4*f - 44. Is m a multiple of 12?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in -0.5, 4\/9, 0.062182?\nAnswer: 4\/9","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 5065782857 plus -4.9?\nAnswer: 5065782852.1","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let s(n) = -n**2 + 4*n. Let v be s(4). Suppose 2*l + v*a - 14 = 2*a, 0 = a - 3. Suppose w - l = -0*w. Is 8 a factor of w?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (y - 11*y - 6*y)*(-87 + 32 - 72 + 2 - 2 + 2 + 0 - 1 - 1 + (-1 + 2 - 2)*(1 - 1 - 2) + 2 - 3 + 0 + 0 + 0 + 1 - 2 + 0 + 0 - 3 - 3 + 5 + 1 - 2 + 2).\nAnswer: 2032*y","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((f\/(f**(-2\/3)*f))**(-11)*(f*f**(3\/2)*f)\/(f\/f**(-2\/11)))**6 assuming f is positive.\nAnswer: f**(-331\/11)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 8\/581 and 8\/133273?\nAnswer: 11061659","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let j(p) be the second derivative of p**7\/42 - 41*p**6\/30 + 273*p**5\/10 - 539*p**4\/3 - 1372*p**3\/3 + 7*p - 18. Factor j(z).\nAnswer: z*(z - 14)**3*(z + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 6885448.\nAnswer: 2, 19, 97, 467","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 296? (a) -1 (b) 6\/5 (c) 9 (d) -0.2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Factor 79507*o**4\/5 - 6941146*o**3\/5 + 104229936*o**2\/5 - 570634112*o\/5 + 213541888.\nAnswer: (o - 70)*(43*o - 248)**3\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 1*sqrt(5)*-5*5 - (4 + sqrt(180) + -2)**2.\nAnswer: -184 - 49*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-10*s**3 + 5 - 5)*(-87*s + 744*s - 217 + 216 + (-3*s + 0*s + 5*s)*(-4 + 1 + 1)).\nAnswer: -6530*s**4 + 10*s**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 414160 rounded to the nearest ten thousand?\nAnswer: 410000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Divide 4263 by -87.\nAnswer: -49","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve -h = 3*l + 11 - 16, -5*h - 2*l = 14 for h.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 1\/3 or -7.0183?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Add together -5346620 and 5.\nAnswer: -5346615","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 220 and 297?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:49 AM and 3:06 PM?\nAnswer: 557","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 715398107 to the power of 1\/4, to the nearest integer?\nAnswer: 164","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let u(r) = -36 + 13 + 14 + 9 + 5 + 2*r**2 + 8*r. Calculate u(-7).\nAnswer: 47","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-80 - -61 - -43) + -49 - (1 - 18)?\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let r(s) = 6*s**3 + 2*s**2 + s. Let b be (5\/(-15)*21)\/(1\/(-5)). Suppose -b = -u + 4*z, 30 = 2*u + 3*z - 7. Suppose u = -6*q + 17. Determine r(q).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -2*((5 + -3 + (sqrt(147) - sqrt(3)))*-4 + 2)**2*-3*-5.\nAnswer: -52920 - 8640*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let n(k) = 6 + k**2 + 3*k - 2 + 4*k. Let v = -80 + 76. Give n(v).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*k - k = -5*x + 104, -x + 5*k = -26. Let z be ((-26)\/78)\/((-1)\/x). Let h = 25 - 19. Which is smaller: h or z?\nAnswer: h","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(9)*-4*-1*-4)\/(4*((sqrt(3) - sqrt(3)*-1*2) + sqrt(3))).\nAnswer: -sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of -493920, -494157, -494394, -494631, -494868?\n\"Answer: -237*y - 493683","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 356 = 10*f - 494. Suppose -f = -8*w + 99. What is the remainder when 38 is divided by w?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 57 - -41. What is the units digit of b?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many months are there in 32\/5 of a millennium?\nAnswer: 76800","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*o - 8*o = -2*q + 11, 2 = -q. Let m = 6 + -8. What is the hundreds digit of (o + (-60)\/(-4))\/(m\/(-37))?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 26 = 4*h - 2*l, -3*l + 24 = 3*h - 0*l. Find the first derivative of 3 - h + 5*g - 3*g wrt g.\nAnswer: 2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 3436 and 4.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Convert -2123100 (base 4) to base 11.\nAnswer: -7513","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = b - 29*b + 84. Suppose 0*l - b*l = 2*y - 12, -4*l + 16 = -2*y. Solve -2*o - 1 = -3*o + 4*w, -19 = -3*o - l*w for o.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 75\/1034 and -101\/846?\nAnswer: 9306","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Are 6260 and 2448240\/391 unequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2\/2 + 84 - (-9 - (-22 - -14))?\nAnswer: 2, 43","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -j = 3*i + 6, -4*j + i + 13 - 24 = 0 for j.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let d(k) be the third derivative of 0*k**3 + 0*k**4 + 1\/30*k**5 + 1\/12*k**6 + 0 + 2*k**2 + 4\/105*k**7 + 0*k. Factor d(b).\nAnswer: 2*b**2*(b + 1)*(4*b + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -215 = 17*j - 28. Let q(r) = -8*r**3 + 11*r**2 - 15*r - 11. Let b(v) = -3*v**3 + 4*v**2 - 5*v - 4. Give j*b(s) + 4*q(s).\nAnswer: s**3 - 5*s","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let b(u) be the second derivative of -23*u**7\/840 + u**6\/360 + 7*u**3\/6 - 2*u. Let f(j) be the second derivative of b(j). What is the tens digit of f(-1)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -510343 (base 6) in base 14?\nAnswer: -10995","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve -122*r = -120*r + 8 for r.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the seventh root of 2377145917 to the nearest integer?\nAnswer: 22","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -13*y**2 + 0*y**2 + 3*y**2 - 10*y**2.\nAnswer: -20*y**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (3 - 14)*(-19 + 20). Put z, 3, 0 in ascending order.\nAnswer: z, 0, 3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -47 - -52. What is the units digit of a?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 6928?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.00000239944 rounded to six dps?\nAnswer: -0.000002","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence siyv when four letters picked without replacement from {y: 1, a: 1, i: 1, s: 1, v: 1}?\nAnswer: 1\/120","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*g - g = 0. Suppose -2*c + n + 12 = g, 2*c + 2*n = -3*n + 36. Suppose -c = -2*f + f. Does 8 divide f?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 4*m + 107 - 103, 0 = 6*r - 4*m + 26 for r.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let i(a) = -a**3 + 9*a**2 + 3*a - 8. What is the remainder when i(-4) is divided by 1?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -198*o + 1167 = -615 for o.\nAnswer: 9","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of 103, 185, 295, 439, 623, 853, 1135, 1475?\n\"Answer: u**3 + 8*u**2 + 51*u + 43","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (47 + 6025\/(-125))\/((-3)\/((-45)\/2)).\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 0 + 5 - 3467522*d + 6934954*d - 3467507*d.\nAnswer: -75*d + 5","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 253 and 110.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 0 divided by -3959396?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -329 - -230. Let n = 99.0086 + r. Round n to 3 dps.\nAnswer: 0.009","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-2881)\/37453 - (1 - (-404)\/(-13))?\nAnswer: 30","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose r - 42 = -9. List the prime factors of r.\nAnswer: 3, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 33 (base 8) to base 4.\nAnswer: 123","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*q + 4*o - 5236 = 0, 346*q - 343*q = o + 7868. What is the greatest common factor of q and 621?\nAnswer: 69","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 150520 at least 150503?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let m(y) = 25156*y**3 + 6*y**2 - 14*y + 15. Let l be m(5). Suppose -1194595 = -2*i - l. What is i rounded to the nearest one hundred thousand?\nAnswer: -1000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is -34062 + -423530?\nAnswer: -460622","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 1102.2 - 1101.5. Which is the second smallest value? (a) -2\/3 (b) 3\/4 (c) 0.3 (d) s (e) 1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*h + 8 = 4*h. Suppose 1 - 7 = h*f. Let d = 17 + -69\/4. Which is the smallest value? (a) -1 (b) d (c) f\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in 4, 34, -2\/13?\nAnswer: -2\/13","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -145, -280, -411, -538, -661, -780?\nAnswer: -895","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is k in -k**2\/5 - 60728*k\/5 - 921972496\/5 = 0?\nAnswer: -30364","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 50*t = 48*t - 3148. Round t to the nearest 100.\nAnswer: -1600","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the eighth root of 4014 to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose c + 63 = 8*c. Let z(f) = f**2 - 2*f + 1. What is the least common multiple of z(3) and c?\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k be ((-5)\/(-25)*0)\/1. Suppose -3*s = -n + 297, 6*n - 2*n - 5*s - 1181 = k. What are the prime factors of n?\nAnswer: 2, 3, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 2 in 1\/3, -33, 798, -3?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 0.1 + 4.9. Let l be (-46)\/126 + (-2)\/(-9). Which is the third smallest value? (a) -3 (b) -5 (c) l (d) z\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(a) = -14*a - 1. Let u be (3 - (-2 - -1)) + -3. Give z(u).\nAnswer: -15","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 67371 = 5354*a - 125373 for a.\nAnswer: 36","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 8 - 5. Suppose 0*w - r = w. Let b(c) = -2*c - 15. Let n be b(-10). Sort w, -2, n.\nAnswer: w, -2, n","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 1 or 25389\/17960?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Round 11210611 to the nearest one million.\nAnswer: 11000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let r be 5\/(140\/(-12))*-7. Let d = 12 - r. Suppose -44 = -d*m + 5*m. What are the prime factors of m?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:51 AM and 2:43 AM?\nAnswer: 52","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 2360 or 2357?\nAnswer: 2360","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -40 - (46 - (69 - 16)).\nAnswer: -33","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 1589312 a multiple of 64?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let l be 1\/4 - 2581\/116. Let k = l - -28. Suppose -161 = -k*j + 7. What is the remainder when 138 is divided by j?\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 7 divide 19327?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 5, -12, -55, -136, -267, -460, -727, -1080?\nAnswer: -1531","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let n(q) = 3*q - 602. Let f(k) be the first derivative of 4*k**3\/3 + 8050. Give n(f(o)).\nAnswer: 12*o**2 - 602","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: 37\/((-1850)\/60)*10\/(-33)\nAnswer: 4\/11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Add together 166496 and -23976504.\nAnswer: -23810008","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of 354917, 709829, 1064741, 1419653, 1774565, 2129477?\n\"Answer: 354912*r + 5","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 6670876 a multiple of 283?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (5*-4*sqrt(85) + sqrt(85))\/(sqrt(10)\/(sqrt(18)\/sqrt(9))).\nAnswer: -19*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 20.5 - 137.5. Let g = -116.9 - q. Let o = 77\/108 + 1\/27. Which is the second biggest value? (a) 3 (b) o (c) -5 (d) g\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 5*h + 2*z + 955, -587 = -0*h + 3*h + 4*z. List the prime factors of (h\/(-14))\/((-3)\/(-4)).\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is s in 3*s**3 + 3*s**2 - 768*s - 768 = 0?\nAnswer: -16, -1, 16","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -307 - -136. Let d = z + 303. Let c = -83 + d. What is the units digit of c?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -1146 + 64167\/56. Let q = a - 3725\/168. What is the common denominator of 0 - ((-44)\/7 - 2) and q?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 2e3e (base 15) in base 16?\nAnswer: 26e7","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 516 is divided by 105.\nAnswer: 96","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6 = -5*u + 2*u. Let h be (2\/4)\/(u\/12). Does 7 divide h\/15 + 136\/5?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*u**2\/11 + 14669260*u\/11 - 29338512\/11.\nAnswer: -2*(u - 7334628)*(u - 2)\/11","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8*s = 3*s + 180. Suppose g + 3*m - s = 0, 0 = -g + 4*g - 2*m - 97. Suppose g = 3*r - 0*r + 4*i, -22 = -4*r + 2*i. What is the units digit of r?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 3507.\nAnswer: 3, 7, 167","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let k(j) be the first derivative of -j**3\/3 - j**2\/2 - 4*j + 13. Determine k(0).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -10*p + 836*s - 838*s - 60 = 0, -4*p = 3*s + 24 for p.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is -1 - -21424058?\nAnswer: 21424057","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {e: 6, y: 2, j: 7}. What is prob of picking 4 j?\nAnswer: 1\/39","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in -2\/7, 450, -12, -0.11?\nAnswer: -12","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let w(z) = -10*z. Let y(l) = 4*l - 94*l**2 + 36*l**2 + 29*l**2 + 27*l + 30*l**2. Determine y(w(r)).\nAnswer: 100*r**2 - 310*r","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let g be 418\/(-3)*6\/(-4). Suppose 3*x + 39 = i, -5*i + 4*x = 3*x - g. Suppose 3*r - 2*r = i. Is 12 a factor of r?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: -37265615 times -15\nAnswer: 558984225","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is -50 + 120 + -73 + (11 - -1)?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 94 + -56. Let b = t + -37.9. Which is smaller: b or -0.7?\nAnswer: -0.7","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c be -1*(2 - (5 + 0\/(-4))). What is the third derivative of 2*d**2 + 10*d**2 + 6*d**2 - 21*d**c + 0*d**2 wrt d?\nAnswer: -126","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*j + 0*j - 4*j**2 - 9*j**5 + 4*j**3 + 4*j**4 + 10*j**5 - j**3 = 0. What is j?\nAnswer: -2, -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -22 + 22.3. Let v be 1 + (0 + 5\/(-5))*-5. Let f be (-3)\/3 + (-10)\/(-16). Which is the third smallest value? (a) v (b) f (c) -4 (d) j\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 50194 is divided by 4533?\nAnswer: 331","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 165 = 4*f + 3*s - 3015, 5*f - 3975 = -5*s. Suppose -11*o + f = -1658. List the prime factors of o.\nAnswer: 223","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2 + w - 3*w + 3*w)*(-1 - w**3 + 1 + (-2 + 2*w + 2)*(1 - 1 + w**2) + (14 - 14 + 2*w)*(1106 - 1106 - 60*w**2)).\nAnswer: -119*w**4 + 238*w**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 793178?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Convert 0.3518174us to seconds.\nAnswer: 0.0000003518174","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let y(d) = -9. Let r(g) = -39*g + 590. Let f be r(15). Let c(n) = n + 18. Determine f*y(j) + 2*c(j).\nAnswer: 2*j - 9","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Total of 3793 and -3.\nAnswer: 3790","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*h + a = -0 + 45, 2*h = 4*a. Solve h + 0 = 5*j for j.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 14422.\nAnswer: 2, 7211","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-62)\/(-1581))\/((-204)\/289)?\nAnswer: -1\/18","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Product of 0.5 and -199421418.\nAnswer: -99710709","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*n - 2*o - 336 = -2*n, 2*n - 180 = 4*o. List the prime factors of n.\nAnswer: 2, 41","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is 16 - -3074?\nAnswer: 3101","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is -50c47 (base 14) in base 10?\nAnswer: -194495","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Convert 1622456.64 hours to weeks.\nAnswer: 9657.48","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let l(u) = 3*u**3 - 34*u**2 + 23*u + 24. Let j(s) = 2*s**3 - 33*s**2 + 23*s + 22. Let p(r) = 4*j(r) - 3*l(r). Is p(-31) a multiple of 25?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: 26486 divided by 30\nAnswer: 13243\/15","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let t be ((-2)\/(-4))\/(-5 + 204\/40). Let f(y) = -3*y**2 - y. Let l(w) = -7*w**2 - w. What is t*f(u) - 2*l(u)?\nAnswer: -u**2 - 3*u","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -67 + 109. Let u(y) = -2*y**2 - 8*y - 4. Let i be u(-6). Let p = i + q. Is p smaller than 15?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:37 PM and 12:05 AM?\nAnswer: 388","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let c(g) = -4*g - 2. Let a(b) = -3 + 2*b + 2 + 3 + 2*b. Let x(f) = -4*a(f) - 5*c(f). List the prime factors of x(4).\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 567c51 (base 16) to base 14.\nAnswer: a777d7","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((24\/14)\/(-6))\/((-37)\/3108)?\nAnswer: 24","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -132 = 41*u - 1034. Suppose 135 = u*b - 19. Let g = -0.07 - -3.07. What is the nearest to 0 in b, -3\/7, g?\nAnswer: -3\/7","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 53*m = 51*m + 10. Suppose -3*q + 12 = o - 4, 4*o + 4 = m*q. Solve -f - 3*f - 2*y - 8 = 0, -o*f + 8 = -2*y for f.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(j) be the second derivative of -j**6\/120 - j**5\/15 + 5*j**4\/24 - j**3\/6 - 51*j**2 + 12*j + 1. Let c(o) be the first derivative of i(o). Give c(-5).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 27*a - 20 = 12*a + 11*a for a.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 0.02 + 2.78. Let v = -0.8 + m. Which is the second smallest value? (a) 2\/7 (b) 1\/4 (c) v\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Do 3121 and -4.264 have different values?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -5\/28 and -27\/152.\nAnswer: 1064","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Convert 2.38765 millimeters to nanometers.\nAnswer: 2387650","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is 11 - 48?\nAnswer: -37","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let h(p) = 6*p - 6. Let n(q) = -7*q + 7. Suppose -3*r = -15 + 3. Suppose o = -d - 3 + r, o - 2*d = 13. Calculate o*n(l) + 6*h(l).\nAnswer: l - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Express 6*u**2 - 2*u**2 - 2*u**2 + (-2 + u + 2)*(2*u - 2 + 2) + u**2 + 4*u**2 - 2*u**2 + 0 + u**2 + 0 - 2*u**2 - u**2 + 18*u**2 as v + j*u**2 + p*u and give j.\nAnswer: 23","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve u**5\/4 - 27*u**4\/2 + 89*u**3\/4 + 194*u**2 + 57*u - 260 = 0.\nAnswer: -2, 1, 5, 52","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let c(o) = -o**2 + o. Let w(a) = 6*a**2 - 33*a - 60. Let m(j) = 5*c(j) + w(j). Let p be m(30). Let f be 75\/(-21) + 4 - p. What is the nearest to 18 in 2, f, -3?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 54083*c + 4118 = 54012*c for c.\nAnswer: -58","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of 13, 16, 23, 34, 49, 68, 91?\n\"Answer: 2*s**2 - 3*s + 14","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 1.14616 and 17.8?\nAnswer: 20.401648","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (0 + -6*((0 + 2*sqrt(208) + sqrt(208) - -2*sqrt(208)*6) + -5))**2.\nAnswer: -21600*sqrt(13) + 1685700","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Does 34 divide 1156?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 141*k**3 + 7*k*t - 1256*t - 1 wrt k.\nAnswer: 423*k**2 + 7*t","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let a(j) = 24*j**2 + 65*j. Let h(f) = 7965*f**2. Determine a(h(m)).\nAnswer: 1522589400*m**4 + 517725*m**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let b be 4\/10 - (-3)\/30. Let d = -113 - -113.4. What is the nearest to b in d, 0.1, -0.2?\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 1969549481?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is 0 + -110100?\nAnswer: -110100","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let s(w) = 13*w**2 - 5*w. Let j be s(1). Suppose -243 = -j*q - 35. Is 8 a factor of q?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:50 AM and 1:01 PM?\nAnswer: 71","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is 58344802 a multiple of 3320?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5 = -4*h - 11, -5*h = 4*f + 40. Let g(s) be the first derivative of s**3\/3 + 2*s**2 + 3739. What is g(f)?\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is -640a - -287?\nAnswer: -6133","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Work out -818.73 - -0.3309.\nAnswer: -818.3991","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 693 minutes after 9:06 PM?\nAnswer: 8:39 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 676536706 to the power of 1\/6, to the nearest integer?\nAnswer: 30","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 244 is divided by 116.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*k + 3*n - 33, -4*k + 11 = -2*n - 27. Let j(h) = k*h**2 - 7*h - 11*h**2 + 2*h - 2. Let t(g) = 2*g**2 + 11*g + 4. Calculate 13*j(a) + 6*t(a).\nAnswer: -a**2 + a - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 19658255?\nAnswer: 5, 19, 10891","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 44472\/11 + -4039. Find the common denominator of 77\/10 and r.\nAnswer: 110","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 - 5 = -f. Suppose -5*y = 3*v - 35, -y - f = 4*v + 5. Solve 2*m + 3*m = -y for m.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 88 and 7582465?\nAnswer: 60659720","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 1436 - 552. Suppose n + 173 = -7*t. Let i = t - -408. Is i composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -15*i = -55*i + 46*i + 42 for i.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Convert 0.4865021 nanograms to micrograms.\nAnswer: 0.0004865021","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 3 c and 1 p when four letters picked without replacement from {c: 3, p: 3}.\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 766888?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is 11611 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 47348 and 114.\nAnswer: 38","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 2 in 1\/2, -25, -5?\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 51\/20 and -79\/14.\nAnswer: 140","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*q - 31 - 5 = 0. Suppose l + 2*l + 699 = 0. What is the remainder when 20\/50 - l\/5 is divided by q?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 9, 1, -27, -87, -191, -351, -579, -887?\nAnswer: -1287","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Round -318451600 to the nearest 100000.\nAnswer: -318500000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 110 and 83688?\nAnswer: 418440","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 1002997249?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve -7*l + 13*w = 57, -371*l + 183*l = -184*l + 2*w - 24 for l.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -36*z + 19*z + 4998. What is the highest common factor of z and 196?\nAnswer: 98","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 873597?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 1916 - -5895. Is w a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.00015133012 to 6 decimal places.\nAnswer: -0.000151","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let s(b) = -14*b**3 - 4*b**2 - 8*b - 6. Let z(g) = -g**3 + g**2 - g - 1. Let h(d) = -s(d) + 6*z(d). Solve h(x) = 0 for x.\nAnswer: -1, -1\/4, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*c + 0*a = 4*a, -4*a - 2 = -c. Let s(p) = -4*p - 3. Determine s(c).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 125890 and 207680.\nAnswer: 2614483520","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let s(n) = 5*n**2 - 3*n. Let l(w) = 11*w**2 - 6*w. Let o(u) = -l(u) + 2*s(u). Let z(j) = -2*j**2 + 8. Determine z(o(m)).\nAnswer: -2*m**4 + 8","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let v(k) be the third derivative of -k**5\/60 + 29*k**4\/24 - 38*k**2 - 2*k. Suppose v(x) = 0. What is x?\nAnswer: 0, 29","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 110753?\nAnswer: 110753","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*b**2 + 50*b - 200.\nAnswer: -2*(b - 20)*(b - 5)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 3472 + -989. Is z a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 22*g = 19*g - 30. Let z(c) = -c**3 - 9*c**2 + 4*c - 2. List the prime factors of z(g).\nAnswer: 2, 29","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.5421932 micrograms in kilograms?\nAnswer: 0.0000000005421932","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (10\/4)\/(-5 + (-93)\/(-18)). Suppose 19*k = f*k + 72. Is 6 a factor of k?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 108\/(-12)*(-4)\/(-6 + 10).\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 2120472 to the power of 1\/6, to the nearest integer?\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*i - 6 = 5*m, 3*m = 2*i + 1 - 5. Suppose -18 = i*o - 46. Suppose k - 5*b - o = 0, -k - 2*b = -0*b - 7. What is the units digit of k?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 785118 a multiple of 142?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -1\/6608 and -113\/440?\nAnswer: 363440","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Round 1079700 to the nearest 10000.\nAnswer: 1080000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 263925 divided by 1035.\nAnswer: 255","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is -5 + 9055?\nAnswer: 9050","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Expand (262 - 160 - 138)*(-61 + 61 - 4*w).\nAnswer: 144*w","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -469.3 and 2248?\nAnswer: -1054986.4","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*f = -5*u + 2, 6 = 5*u + f - 0. Suppose 61 - 1 = u*p. Solve 2*m + 2*v + p = -2*v, -v = -m for m.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of -905, -1773, -2641, -3509, -4377, -5245?\n\"Answer: -868*h - 37","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let j(u) = u**2 - 6*u + 10. Let g be j(5). Suppose n - 4*q + 44 = 0, n + 2*q + g = -33. Calculate the remainder when 31\/(5*(-4)\/n) is divided by 13.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 3330.05 to the nearest 100.\nAnswer: 3300","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 956 + -888. Let c be -2 - 17\/(y\/(-64)). Let l(u) = u**2 - u - 6. Let d be l(5). Calculate the highest common factor of c and d.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -435 + 444. Is (10\/y)\/5 + (-180709)\/(-171) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 1\/24 + -41\/24. Let y = 223 - 223.1. What is the smallest value in y, f, 2?\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 22516*x = 22521*x + 3*r + 19, -2*x = -4*r - 60. Let u be (-1)\/(-10)*4\/(-2). What is the closest to -8\/3 in -1, x, u, 0.5?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -407 by 9483.\nAnswer: -407\/9483","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let c(i) = -473980*i + 21329093. Give c(45).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (i*(i**(1\/4)*i)\/i)**(2\/3)*i**(2\/33)*i*i**10 assuming i is positive.\nAnswer: i**(785\/66)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of -367598, -735189, -1102778, -1470365?\n\"Answer: a**2 - 367594*a - 5","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -3\/7 or 34389?\nAnswer: 34389","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: (0*(-5)\/30)\/1\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let o(b) = -3522*b**3 + 8*b**2 - b - 10277. Let c(l) = -3523*l**3 + 12*l**2 - l - 10270. Let w(t) = 2*c(t) - 3*o(t). Find the first derivative of w(r) wrt r.\nAnswer: 10560*r**2 + 1","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 27, 28, 35, 54, 91?\nAnswer: 152","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from ytrttrrtttyttrrtrrtt. What is prob of sequence tr?\nAnswer: 77\/380","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -61\/166 and 79\/146.\nAnswer: 12118","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 1126765\/42 + -26825. Find the common denominator of z and -95\/498.\nAnswer: 3486","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in 2.129, 0, 1, 2, -3\/4, 4?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*a + 4*m + 1 = 0, -a + 2*a + 2 = m. Let p = 0 + a. Let w = p - -13. What is the greatest common divisor of w and 6?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-8 - (1 + 6 + -8)) + 6.\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 1327256 to the nearest integer?\nAnswer: 1152","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let b(t) = t**2 + 22*t + 427. Determine b(-17).\nAnswer: 342","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.012299678 to two dps.\nAnswer: -0.01","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let s be 2 + 30\/(-14) + 1885\/(-35). What is the closest to s in -1\/2, 0, -2, -0.4?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(z) be the third derivative of 91*z**6\/40 - 17*z**2 + 8*z. Let p(j) = -26*j**3. Give -52*p(m) - 5*s(m).\nAnswer: -13*m**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 334899788 is divided by 3674?\nAnswer: 3666","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -225157.76000096 - -225158. Let y = 1.04 + -0.8. Let a = r - y. Round a to seven dps.\nAnswer: -0.000001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(n) = 1 - 2*n**2 - 1. Let r(g) be the first derivative of 0*g + 0*g**2 + 4\/3*g**3 - 1. What is r(u(v))?\nAnswer: 16*v**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Total of -2175021344 and -372.\nAnswer: -2175021716","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 27*b**2 + 13*b**2 + 7*b**2 + b.\nAnswer: 47*b**2 + b","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 3.3 + -10.2. Let r = 6.4 + w. What is the closest to 0 in r, -0.3, 10?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1.52 + 28.\nAnswer: 29.52","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -3*d**2 - 1114*d**3 + 1118*d**3 + 3*d**2.\nAnswer: 4*d**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let l(f) be the third derivative of f**4\/6 - 2*f**3\/3 - 13*f**2. Let o be ((-99)\/22)\/((66\/(-8))\/11). Determine l(o).\nAnswer: 20","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*a + 339 = -49. Is a a multiple of 13?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -3 + ((2*(sqrt(152)*-4 - (sqrt(266)*-2)\/sqrt(7)))\/(5*(sqrt(32) - ((sqrt(800) + sqrt(800)*2 - sqrt(800)) + sqrt(800)))))**2.\nAnswer: -14529\/4900","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 103387244 to the nearest integer?\nAnswer: 10168","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in 142\/25, -3\/2, 5, -14, -1, 2\/7?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Work out -978 - 13847.52.\nAnswer: -14825.52","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between 11451687 and -299.87?\nAnswer: 11451986.87","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Expand 2*k + 2*k - k + (k + 4 - 4)*(3 + 1 - 2) + 6*k - 2*k - 3*k + (-5*k + k + 3*k)*(3 + 0 - 2).\nAnswer: 5*k","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let c(v) = -21 + 13*v**2 - 27*v + 17*v**2 - 37*v**2. Let g(a) = a**2 + a + 1. Let h(s) = c(s) + 6*g(s). Does 19 divide h(-10)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 17 = 4*q + 167*p - 162*p, 3*q - 2*p = 7 for q.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve -407*b = -410*b + 15, 2*i = -0*i - 2*b + 8 for i.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 17\/4 of a microgram in nanograms?\nAnswer: 4250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 338205449?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let p(q) = q**3 - 12*q**2 + 11*q - 3. Let u be p(11). Let w = 5 + u. Solve -2 = -x + 5*x - 5*v, 2*x + w*v = 8 for x.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*i = 2*i - 5*i for i.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: 3453 times 2.2849\nAnswer: 7889.7597","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 28 in -0.5, 114, 2?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -237 - -240. What is the second biggest value in -5, -3, p, 2?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(n) = n**2 + 31*n - 96. Let m be v(-30). Let h = m - -115. What is the nearest to h in 0, 3, 1?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(l) = 42279*l. Let h(a) = 15*a**2 + 10*a. Give h(c(t)).\nAnswer: 26812707615*t**2 + 422790*t","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -140642*q**2 - 140632*q**2 + 421880*q**2 - 140649*q**2.\nAnswer: -43*q**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let b(r) be the third derivative of -129*r**4\/4 - 547*r**3\/6 + 1610*r**2. Differentiate b(y) wrt y.\nAnswer: -774","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (z**(-4\/11)\/(((z*z\/(z**(2\/37)*z)*z)\/z)\/z))\/(z**19*z*z*z**(-2\/39)) assuming z is positive.\nAnswer: z**(-337433\/15873)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 1 + -1. Let a = v - -0.05. Sort -0.3, 4, a.\nAnswer: -0.3, a, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 11, 32, 53, 74?\nAnswer: 95","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -2338*k + 2314*k + 72 for k.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Determine z, given that 5*z**3 + 145*z**2 + 360*z - 11340 = 0.\nAnswer: -18, 7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 g and 1 t when two letters picked without replacement from {g: 1, t: 3, n: 1}.\nAnswer: 3\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is 10110 + -100000?\nAnswer: -1010","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let z(t) = -5*t + 17 + 0 + 4*t. What is the tens digit of z(7)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a be 6\/((-5)\/(-2) - 1). Suppose 5*y = a*s - 2, y = 2*y + 3*s - 11. Suppose -2*x = -6 - y. Solve -x*u = -2*u + 6 for u.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {r: 1, a: 1, f: 1, n: 1, h: 1}. What is prob of sequence rafh?\nAnswer: 1\/120","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Are -181 and 2 equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.04371 rounded to 2 decimal places?\nAnswer: -0.04","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of 474, 1888, 4244, 7542, 11782, 16964, 23088?\n\"Answer: 471*y**2 + y + 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -148 + 146 + -20 + -2 + 21.\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 494 - 166. Suppose c - 810 = -2*m. Suppose 0 = 4*r + 2*x - 266, 2*r - 5*x = m - 78. What is the tens digit of r?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 12637471 and 6314?\nAnswer: 3157","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of 2052, 8230, 18526, 32940, 51472?\n\"Answer: 2059*o**2 + o - 8","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -5288, -21172, -47684, -84854, -132712, -191288, -260612?\nAnswer: -340714","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 408904997 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is -1746720 at least as big as -1746720?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 9432780 and 11766.\nAnswer: 222","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((5*(sqrt(153) + -2 - sqrt(153))*3 - -6*(-1*sqrt(153) + sqrt(153))*5)*5)**2.\nAnswer: 22500","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 4.1? (a) -0.1 (b) -5 (c) 1\/9 (d) 0.45\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Sort 25.2, -2095, 0.3.\nAnswer: -2095, 0.3, 25.2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve -100*i = -22 - 378 for i.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -201 + -1346. Let m = 2257 + o. What are the prime factors of m?\nAnswer: 2, 5, 71","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 2.371 + -2.58. Let a = j - 0.21. What is a rounded to 1 dp?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -11152319*c - 81870205 wrt c?\nAnswer: -11152319","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve -6*x - 1212 = -1164 for x.\nAnswer: -8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) 0.5 (b) 2 (c) -0.03093 (d) -0.114\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from vdfddvfgfdfffffffv. What is prob of picking 2 f?\nAnswer: 5\/17","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (l**28*l\/l**12*((l*l*l*l\/l**(13\/2)*l*l)\/l)**(-4\/7))**(-13) assuming l is positive.\nAnswer: l**(-1625\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is 15465199 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -703 - -935. What is the remainder when h is divided by 13?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 372, -413, -2580, -6831, -13868, -24393, -39108, -58715?\nAnswer: -83916","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -4 - 2. Let a be (-6)\/(-9) - 14\/b. Let v be a\/((-6)\/620002) + 1. Round v to the nearest 100000.\nAnswer: -300000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 370948?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is 110 a factor of 132405?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*y + 151 = -708 + 6599. What is the greatest common factor of 410 and y?\nAnswer: 205","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -0.0247 - 0.1.\nAnswer: -0.1247","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let p be 2 - 2\/4*0. Suppose -p = -2*u + 2. Suppose 113*i = 139 + 669 - 243. Solve -5*m - i*w = 20, w + u*w = 4*m + 2 for m.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 27, 43, 69, 105, 151, 207, 273?\nAnswer: 349","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is 765 + -5?\nAnswer: 760","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve -7384*p = -7636*p - 13356 for p.\nAnswer: -53","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -12 = -5*j + 3*r, -4*j - 4*r + 16 = -0*j. What is the third derivative of -104*s + j*s**6 + s**2 + 104*s wrt s?\nAnswer: 360*s**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 6 + -6.0000001. What is r rounded to 7 decimal places?\nAnswer: -0.0000001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 13*r + r = 56. Let c be ((-11)\/((-231)\/(-342)))\/(r\/(-28)). Suppose 2*z = -8, 2*z - 319 = -3*i + c. What is the tens digit of i?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) 7 (b) -1\/5 (c) -33 (d) -951\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -0.1426 + -0.0574. What is the second biggest value in -1\/16, m, 1?\nAnswer: -1\/16","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(l) = l**2 - 6*l. Let p be i(6). Suppose p = -4*d + 17 + 27. Let f(g) = -d*g + 20*g - 11*g. Let w(r) = 2*r**2. Give w(f(n)).\nAnswer: 8*n**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let u(g) = -3*g - 2*g + 5*g + 3*g**2. Let a(v) = 5 - 4 - v**2 - 1. What is a(u(t))?\nAnswer: -9*t**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 8322 is divided by 8292.\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence qv when two letters picked without replacement from {v: 13, q: 3}.\nAnswer: 13\/80","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 1288, 1334, 1412, 1522?\nAnswer: 1664","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 12*j**5 - 21*j**4 - 402*j**3 - 363*j**2 + 606*j + 168 = 0. What is j?\nAnswer: -4, -2, -1\/4, 1, 7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -4 in -0.09, 0.5, -4, 0, -3\/2?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 38122 is divided by 4227.\nAnswer: 79","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is 5 - -691?\nAnswer: 696","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is (-1)\/2*2 + 4?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 12*v = 9*v + 5*k + 37, -29 = -2*v - k. What is the second derivative of -3 + 1 - 71*p**3 - v*p**3 + 22*p wrt p?\nAnswer: -510*p","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*y + 131374 = 167*v - 162*v, 2*y = 3*v + 65676. Is y a multiple of 78?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 633?\nAnswer: 3, 211","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 813 is divided by 37?\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let v(f) be the third derivative of -775*f**8\/336 - 431*f**4\/12 - 1163*f**2. Find the second derivative of v(a) wrt a.\nAnswer: -15500*a**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(i) = 24*i**2 - 2*i - 3. Let x(h) = -2*h + 11. Let c(z) = z - 6. Let a(l) = 11*c(l) + 6*x(l). Let q(j) = 2*a(j) - k(j). Differentiate q(n) wrt n.\nAnswer: -48*n","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Are -1296 and 2\/3 equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 424 is divided by 33.\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*p**3 + 7287*p**2 - 117360*p = 0. What is p?\nAnswer: -2445, 0, 16","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 12 - 15. Let s(u) = -5*u + 7. Is 11 a factor of s(w)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*l = -l - 6. Suppose w - 4*w = -l. Determine o, given that 2*o - o**w + 0 - 1 + 0*o**2 = 0.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t be 4*1*(0 + -1). Let o be 1*(-2)\/(-40)*6. Let i = o + 1\/30. Which is the second biggest value? (a) i (b) -0.4 (c) t\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -0.1827 smaller than -567?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = g - 4 - 3. What is the units digit of g\/4 + (-5)\/(-20)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth root of 1472124891 to the nearest integer?\nAnswer: 34","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 55*m - 13782589 = -1941254. Is m a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 0.3692 + -145.3692. Put 5, u, 0.3 in descending order.\nAnswer: 5, 0.3, u","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: 181678652 divided by -6\nAnswer: -90839326\/3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 36929 = 11*i - 29817 - 10188. Is i a multiple of 97?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -3*v**3 + 3231*v**2 - 871560*v + 868332.\nAnswer: -3*(v - 538)**2*(v - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (16 - (15 - 5)) + (1 - 6) + -3 + 4.\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 0.022 + 2.978. Which is the closest to -1? (a) x (b) 1 (c) -4\/3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 37\/8 and 2 + (484\/(-136) - 0)?\nAnswer: 136","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 88752 to the power of 1\/4, to the nearest integer?\nAnswer: 17","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((d*d**5)\/(d**(-1\/9)\/d))**(2\/47) assuming d is positive.\nAnswer: d**(128\/423)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Divide -58977 by 19659.\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 49 - 27. Suppose -2*c + 7*c = 2*z + r, 5*z = -3*c + 7. What is the tens digit of (z - -3) + -5 - -37?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (2*(sqrt(1300) - (2 + sqrt(1300) + sqrt(1300) + -2 + sqrt(1300)) - (4*(sqrt(1300) + -2) - sqrt(1300)))*-3)**2*5.\nAnswer: -144000*sqrt(13) + 5861520","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let u(x) = x**2 - 22*x + 187. Let y = 680 + -499. What is the remainder when y is divided by u(6)?\nAnswer: 90","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out 15028 + 52.9875924.\nAnswer: 15080.9875924","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Put -11, -153, -3, -1\/4, -0.4 in increasing order.\nAnswer: -153, -11, -3, -0.4, -1\/4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -38*w**2 + 79*w**2 + 85 - 99.\nAnswer: 41*w**2 - 14","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 55038403 to the power of 1\/2, to the nearest integer?\nAnswer: 7419","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let r be 8\/(-5) - (-4)\/(-10). Let t(w) = -5*w**2 - 2*w + 11. Let m(n) = 2. Let b be (-16)\/(-36) + (-245)\/45. Let y(o) = b*m(o) + t(o). Calculate y(r).\nAnswer: -15","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of 2065832, 4131672, 6197512, 8263352, 10329192?\n\"Answer: 2065840*p - 8","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_test"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is -330231 - -1321020?\nAnswer: 330123","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 42*t - 14 - 140 - 14. Sort -12, t, -20, 3, 0 in increasing order.\nAnswer: -20, -12, 0, 3, t","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 703 is divided by 44.\nAnswer: 43","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let h(i) = -i**2 + 8*i + 14. Let m(f) = 2*f**2 + 6*f + 4. Calculate the remainder when m(-6) is divided by h(8).\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 2464784498 and 614.\nAnswer: 614","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -10\/297 + -4999\/1485. What is the common denominator of m and 68\/987?\nAnswer: 4935","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 151658171 divided by 7982009.\nAnswer: 19","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let a be 150423\/100338 - (-3)\/(-2). Let y = a + -198283\/4778. Find the common denominator of 85\/784 and y.\nAnswer: 784","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -12 + 2. Let j = d + 11. Let v(q) = 4*q**3 + 1 - 6 + j - q**3 + 4*q. Let l(a) = -a**3 - a + 1. Calculate 12*l(n) + 3*v(n).\nAnswer: -3*n**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 1401.4149989 rounded to the nearest one hundred?\nAnswer: 1400","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let c(t) = t**2 - 22*t + 1. Let u be c(21). Let f = u + 24. Suppose -g = 4*h - 543, -h + 666 = f*h - 3*g. Is 16 a factor of h?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7*h + 4944 - 1136 = 0. Suppose -h = -32*w - 0*w. Is w < 10?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(r) = 6*r - 1. Let i be t(1). Suppose -5*m - i = -o - 94, -o = -1. Let l(s) = -11*s + m*s - 11*s. Let d(h) = -h. Calculate l(d(n)).\nAnswer: 4*n","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 18 and 38322?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (310\/15)\/(4 + 48900\/(-12213)). Let u = m + 5247. What is the common denominator of -19\/65 and u?\nAnswer: 520","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(c) = -5*c - 2*c**3 + 5*c**3 + 3*c - 2 - 2*c**2. Let n(h) = -h**3 + h**2 + h + 1. Let w = -2 + 1. Give w*y(v) - 2*n(v).\nAnswer: -v**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -124 + 310. Let y = 2048\/11 - m. Put 13, -1\/4, y in descending order.\nAnswer: 13, y, -1\/4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 1253*l**3*v**2 - 6*l**2*v**2 - 2*l**2*v wrt l?\nAnswer: 7518*v**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((z*(z**(-2\/9)\/z)\/z*z)\/z*(z\/((z*z**2)\/z))\/z)**(7\/5) assuming z is positive.\nAnswer: z**(-203\/45)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let q(y) = -3*y**2 - 2*y. Suppose -4*m = -26 - 10. Suppose -d - m = -4. Let t be 24\/120 - (42\/d)\/(-2). Let g(i) = -i**2 - i. Determine t*q(h) + 10*g(h).\nAnswer: 2*h**2 - 2*h","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence bbbn when four letters picked without replacement from {b: 3, n: 2}.\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*k + 490 = -0*k - 4*j, 98 = k + 3*j. Let b = k - 49. Is b a multiple of 23?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -9276 - -18685. Is s prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 37 + -24. Let u = -213 + 147. Let r = -70 - u. What is the nearest to -1\/3 in 0, r, c?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -3*f - 412*o + 411*o - 20, -33*f + 3*o = 150 for f.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -23*q - 3*q - 16*q + 17*q to the form n*q + p and give n.\nAnswer: -25","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -14*10\/735*7.\nAnswer: -4\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((i**(-3\/7))**(3\/13)\/(i*i*i*i**(-3)*i*(i**(-4)*i)\/i))**(-6) assuming i is positive.\nAnswer: i**(-1584\/91)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 20 and 132750.\nAnswer: 265500","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in five quarters of a litre?\nAnswer: 1250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((8 - 8 + 9)*(-a - 2*a + 4*a) + 6*a - 2*a - 3*a + (7 - 1 + 6)*(a - a + 2*a) + 2*a + 2 - 2)*(a - 3*a + 4*a**2 + 7*a**2 + 1).\nAnswer: 396*a**3 - 72*a**2 + 36*a","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: ((-6)\/(2 - 8) - -2)\/(9\/(-78))\nAnswer: -26","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -24133 - -69561. Let s = -45431.3987 + l. Let t = 3.4 + s. What is t rounded to three dps?\nAnswer: 0.001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of -296065, -592123, -888175, -1184221, -1480261, -1776295?\n\"Answer: 3*f**2 - 296067*f - 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 4652708?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ggww when four letters picked without replacement from {g: 2, j: 3, w: 3}?\nAnswer: 1\/140","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 540223.4 centuries in years?\nAnswer: 54022340","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 3*f*g**2*u**2 + f*g*u**2 - 4*f*g*u - 2*f*u**2 - 2*g**2*u**2 + 3*g**2 - 3*g*u**2 wrt g?\nAnswer: 6*f*u**2 - 4*u**2 + 6","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -79\/36 and -47\/1768.\nAnswer: 15912","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -2.4 + 2.9. Let v be (-2)\/(-8) - 3\/44. Let h = -1116 - -1116.2. Sort h, v, k in ascending order.\nAnswer: v, h, k","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(h) = 3 - h + 0*h - 3. Give f(3).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from wwziizliiwvwzwwz. Give prob of picking 1 l, 1 v, and 1 z.\nAnswer: 1\/140","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 56721?\nAnswer: 3, 7, 37, 73","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let d(a) = 8*a**4 - 3*a**2 + 3. Let l(z) = 7*z**4 - 4*z**2 + 2. Let p(n) = -2*d(n) + 3*l(n). Find the third derivative of p(t) wrt t.\nAnswer: 120*t","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: -3612352 (base 8) to base 3\nAnswer: -1212012211012","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 211744.\nAnswer: 2, 13, 509","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1, -8, -17, 15, -2, -5 in increasing order.\nAnswer: -17, -8, -5, -2, -1, 15","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 251 minutes after 9:56 PM?\nAnswer: 2:07 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -16\/1051 and 46.\nAnswer: 1051","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 114 and 57.\nAnswer: 57","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -30326*m*t**3 + 373*m*t**2 + 74*m*t - 5*m - 2418*t**3 + 2*t**2 + 10*t - 2 wrt t.\nAnswer: -181956*m - 14508","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-82)\/205)\/((-1)\/(-5)).\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Put 0, -2, -16821 in decreasing order.\nAnswer: 0, -2, -16821","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in fifty-seven fifths of a litre?\nAnswer: 11400","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Expand -2*p**4 - 526*p**4 - 732*p**4 + p**4 - p**3 + p**3 + (6*p - 4*p - p)*(p**3 - 2*p**3 + 0*p**3) + 0*p**4 - p**4 - p**4 + 2*p**4 - 2*p**4 + p**4.\nAnswer: -1261*p**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let j(w) = -2*w + 17. Let k be j(7). Suppose 0 = s - k*g - 6, 3*s = -0*g - 5*g - 38. Let i be ((-8)\/s)\/(12\/27). Put i, 10, 1 in ascending order.\nAnswer: 1, i, 10","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -231*y = 537535 + 5037850 - 38624786. Is y composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 11 divide 76369?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0 - 2*i + 0)*(32*i + i - 12*i)*(1 + 3 - 6).\nAnswer: 84*i**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let o(s) = 6*s + 5. Let t be o(-1). Is 5 a factor of 30 + (t - -3) + 4?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*a**4 - 28*a**3 + 16*a**2 + 28*a**3 - 12 - a**2 = 0. Calculate a.\nAnswer: -2, -1, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(p) = -p**2 - 11*p - 30. Let r be y(-5). Suppose r = -6*u + 21 + 9. Solve 3*x + 3*g + 16 = u*x, 4*x + 4 = -3*g for x.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -112342 (base 6) to base 3.\nAnswer: -111012222","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let n(w) = 13*w + 26. Let g(d) = 14*d + 29. Let s(v) = -4*g(v) + 5*n(v). Let m(r) = -2*r**2. What is s(m(i))?\nAnswer: -18*i**2 + 14","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (-21)\/(4 + (-5)\/1). List the prime factors of (-19)\/14*-30 + 6\/f.\nAnswer: 41","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*j - 82 = c, c - 1 = j + 13. Let w be 2\/6*(-12)\/j. Let y = 100997 - 100997.5. Sort y, -2\/41, w.\nAnswer: y, -2\/41, w","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*a - 6 = b, 3*a + 3*b + 5 = -1. Let d be a*2*12\/(-32). Suppose -5*v + 2*g = 4*g - 12, 2*v + 4 = -d*g. Solve -i = v*i for i.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -267018 minus 1754?\nAnswer: -268772","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let z be ((-325)\/3)\/(-13) + -8. What is the smallest value in z, 2, -0.03, 0.3?\nAnswer: -0.03","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:43 AM and 9:05 AM?\nAnswer: 82","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) 629 (b) -7 (c) 15\/14\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 5*p**3 - 3*p**3 - 4*p**3.\nAnswer: -2*p**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose i = -3*f - 5 + 20, 4 = f. Let x = -1.3 + 1.19. Suppose t - 4*t = -2*u + 1, 5*u + 5*t + 10 = 0. Which is the closest to u? (a) -0.4 (b) x (c) i\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in 2\/7, 2341, -3?\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -109 divided by 3567.\nAnswer: -109\/3567","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 42681?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is -1 greater than or equal to 2853336?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.00347876739 to 4 decimal places.\nAnswer: -0.0035","meta":{"dup_signals":{},"source":"numbers__round_number_test"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1425873.\nAnswer: 3, 461, 1031","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*v - 2*f = -14, -f - 121 = -3*v - 128 for v.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 11 - 29. Let c = -4 - i. Let g = 16 + -4. What is the lowest common multiple of g and c?\nAnswer: 84","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -48*d = -43*d + 10 for d.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 9*q - 36 = -0*q. Let z be (54\/q)\/((-105)\/700). Let t = -75 - z. What is the units digit of t?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 8*b**3 + 346*b**2 + 422*b + 84 = 0.\nAnswer: -42, -1, -1\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve -692*n + 3261 = -16*n - 132*n - 2179 for n.\nAnswer: 10","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*o = -7*l + 8*l - 109, -2*o = -4*l - 32. Suppose 0 = -3*t - 0*t + 39. Calculate the highest common divisor of t and o.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1355086 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -3 + 7. Suppose 2*x + 3*x = -5. Put x, 3, i in decreasing order.\nAnswer: i, 3, x","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 24565855 to the power of 1\/3, to the nearest integer?\nAnswer: 291","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 306211159, 612422315, 918633481, 1224844663, 1531055867, 1837267099, 2143478365, 2449689671?\nAnswer: 2755901023","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let c(a) = -7*a**2 - 5*a + 6. Let f(p) be the third derivative of -13*p**5\/60 - 3*p**4\/8 + 11*p**3\/6 + 5*p**2. Let t(x) = -11*c(x) + 6*f(x). Factor t(y).\nAnswer: -y*(y - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*b**2\/9 - 326*b\/3 + 8140.\nAnswer: -2*(b - 66)*(b + 555)\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 13771 - 2972. Is p a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 21975*q**4*y**2 + 2*q**2*y**2 + 56*y**2 + y - 173 wrt q.\nAnswer: 87900*q**3*y**2 + 4*q*y**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 17180.\nAnswer: 2, 5, 859","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let s(g) be the first derivative of 2*g**3\/3 + 5*g**2\/2 - 2*g + 1. Let y be s(-4). Let j = y - -18. What is the greatest common factor of 14 and j?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(m) = m + 1. Let z(r) = -2*r - 1. Let w(i) = t(i) + z(i). Let a be w(-6). Suppose 0 = c - a - 13. Is 18 a factor of c?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -334569, -1338365, -3011387, -5353635?\nAnswer: -8365109","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.387501826 rounded to 1 decimal place?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: -9358+1\nAnswer: -9357","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from aaaaaaaaaaaoaaaaaa. Give prob of picking 3 a.\nAnswer: 5\/6","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let p(l) = -l**3 - 9*l**2 - 9*l - 3. Let h be p(-8). Suppose h*x + 1 - 46 = 0. Calculate the lowest common multiple of x\/(-3) + 4 + 13 and 16.\nAnswer: 112","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 7 and 7?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from pappggggggapggp. What is prob of picking 2 g and 1 a?\nAnswer: 8\/65","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*u + 18 = -4*a + 2*a, -5*u + 30 = -2*a. Suppose -107*x - 35*x + 568 = 0. Solve 2*s - x*t = 30, -2*s + 2*t = -u*s for s.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 2467987 by 1.\nAnswer: 2467987","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: (0\/(1 - -1 - 1))\/((-130)\/(-65))\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 6167252 by -14.\nAnswer: -440518","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let y(t) = -6*t**3 + t**2 - t - 2. Let l = -38 - -72. Suppose l*w = 30*w - 4. Let u be y(w). Solve 1 = n + u for n.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 y and 1 z when two letters picked without replacement from jjjzjjjzjjyyizzgj.\nAnswer: 1\/17","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 1745*l**5*p - 7*l**3*p**3 + 3*l*p**2 + l*p + 7520*p**3 wrt l.\nAnswer: 34900*l**3*p - 42*l*p**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let j be ((-5)\/15)\/(1\/(-9)). Suppose 11 = -j*a + 32. Let c(n) = -n**3 + 8*n**2 - 2*n - 9. Is 8 a factor of c(a)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -17 + 6 + -6 + 21 + -32.\nAnswer: -28","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 1 and 22.37309.\nAnswer: 22.37309","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is -1 + 2 + 1 - (-17)\/(85\/30)?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 168 and 48.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Sort -3\/2, -135, -3\/4, 3, -3, 2\/5 in ascending order.\nAnswer: -135, -3, -3\/2, -3\/4, 2\/5, 3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.0003362487 rounded to 6 dps?\nAnswer: 0.000336","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 20\/13? (a) -0.2 (b) 8 (c) 0.06 (d) -4\/7 (e) -4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:55 AM and 11:04 AM?\nAnswer: 249","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -1909*a + 1913*a + 310179 = 5*m, 4*a = -2*m + 124094. What is the hundreds digit of m?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -1417\/17094 + -6\/259. Find the common denominator of 1 + (-17)\/24 + 2 and g.\nAnswer: 264","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -2212000122 (base 3) to base 5.\nAnswer: -3244100","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let j(b) be the second derivative of 8*b**3\/3 - 6*b**2 + 12*b. Let n be j(15). Calculate the greatest common factor of 57 and n.\nAnswer: 57","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 24 divide 43576632?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Does 12 divide 40?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is fourty-seven quarters of a milligram in micrograms?\nAnswer: 11750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 46690037 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 2 - 2. Let w = q - 0.1. Let k = -2\/63 + -4\/21. Which is the nearest to 1\/4? (a) w (b) k (c) -2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (-2*(-14)\/6 + -5)*-1. Is y bigger than 1021?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(z) = -6*z**2 + 68*z + 27. Let v(k) = 8*k**2 - 83*k - 36. Let o(q) = -9*p(q) - 7*v(q). Determine o(-16).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of (-3980)\/(-15) - 2\/6?\nAnswer: 5, 53","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(x) = -8*x**2 - 1. Let c be a(-1). Let t be -12*(c - (-6 - -2)). Calculate the greatest common factor of 30 and t.\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -5 divided by -4704?\nAnswer: 5\/4704","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let k(f) = 1. Let g be (1 + (-3)\/6)*2. Let p(y) = -y - 2. Give g*p(b) + 3*k(b).\nAnswer: -b + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Divide 8668 by 6.\nAnswer: 4334\/3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 3 v and 1 b when four letters picked without replacement from hbvyvvhvvyvbbhhvvvv?\nAnswer: 30\/323","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 1 + ((sqrt(78)*-4)\/sqrt(6))**2.\nAnswer: 209","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 4 + -9. Let y(l) = 19*l**3 - 3*l**2 - 2*l + 1. Let c be y(i). What is the units digit of (-2)\/(-7) + c\/(-63)?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 352114 is divided by 352113.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*b = -5*i + 1430, -7*b = -12*b + 5*i + 1400. What is the tens digit of b?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 538 minutes after 7:29 AM?\nAnswer: 4:27 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: -17 * -0.09\nAnswer: 1.53","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let f(v) = -182*v**2. Let q(l) = 2*l**2. Calculate q(f(a)).\nAnswer: 66248*a**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the tenth root of 4945118 to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from xxdxdgddg. What is prob of picking 3 x and 1 d?\nAnswer: 2\/63","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence pqq when three letters picked without replacement from qqqqqqqqqqqqqqqpqqqq.\nAnswer: 1\/20","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (7 + 8 + (-37)\/5)*(-310)\/(-124).\nAnswer: 19","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -19064 - -27474. List the prime factors of g.\nAnswer: 2, 5, 29","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 2813 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Divide -1110798 by 234.\nAnswer: -4747","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let m(c) = -c**2 - 21*c + 20. Let s be m(-20). Find the third derivative of -40 + s + 9*f**2 + 2*f**3 wrt f.\nAnswer: 12","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth smallest value? (a) 5410 (b) 3 (c) -2 (d) 0.2 (e) -4 (f) -8 (g) 1\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is -22 (base 12) in base 8?\nAnswer: -32","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is b178 - 1252?\nAnswer: 9c26","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence vmcr when four letters picked without replacement from hctrthvvrctvttvmttvh?\nAnswer: 1\/5814","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 1 or -47\/837297?\nAnswer: -47\/837297","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -2326 + 2750.12. Let o = 424 - y. Which is the closest to o? (a) -4\/3 (b) -4 (c) 1 (d) 4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 1259139?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Express w + 10*w - 2*w as k + j*w and give j.\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 81 - 79. Let f = 20 + -7. Calculate the lowest common multiple of v and f.\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -4 - 5. Let q be 1*(1 - -26)*2\/6. Let i = q + f. Solve -z = -i*z - 5 for z.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = d - 7*d - 306. Let o = 56 + d. Suppose 0 = -3*w + 4*i + 67, 4*i + 50 = -3*w + o*w. What is the tens digit of w?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 14\/(-6)*(-21 - (-1974)\/98).\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*l = n - 0*n + 11, -5*l = -3*n - 12. Suppose 4*s = l*s + 3. Suppose -s*q - q + 100 = 0. Solve 5 - q = -4*o for o.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 408 + -406. Suppose -2\/17*u + 2\/17*u**b - 2\/17*u**4 + 0 + 2\/17*u**3 = 0. Calculate u.\nAnswer: -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*x - 51 = 89. Let h be (0\/3 + 1)*1*4. What is the greatest common divisor of x and h?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) 0.01 (b) 5 (c) 2\/5 (d) 0.7 (e) -4 (f) -0.085\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let k(r) = r**2 + 3*r**2 - 3*r**2. Let x(g) be the third derivative of 1\/12*g**4 + 0*g**3 - 2*g**2 + 0 + 0*g. What is x(k(a))?\nAnswer: 2*a**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let z(n) = -11*n**3 - 7*n**2 + 4*n - 4. Let q(f) be the third derivative of -f**6\/20 - f**5\/15 + f**4\/12 - f**3\/3 + 7*f**2. What is -7*q(x) + 4*z(x)?\nAnswer: -2*x**3 + 2*x - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: 0.035*6.4\nAnswer: 0.224","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of -25252, -25248, -25242, -25234, -25224, -25212, -25198?\n\"Answer: t**2 + t - 25254","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5 = -n - 3*d, -5*n - 3*d = -27 - 10. Let z = -5 + n. Let t(m) = 4 + 7*m**2 - m**z + 1 - 5*m - m**2. Give t(5).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(h) = -h**3 + 12*h**2 + 13*h + 2. Let c be y(13). Calculate the greatest common divisor of c and 12.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(j) = 25*j**3 - 5*j**2 - 3*j - 5. Let f(c) = 13*c**3 - 3*c**2 - 2*c - 3. Let r(v) = -5*f(v) + 3*k(v). What is the second derivative of r(m) wrt m?\nAnswer: 60*m","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 5, 32, -0.3.\nAnswer: -0.3, 5, 32","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-12)\/384*4*3808\/28.\nAnswer: -17","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let s(b) = -3*b**3 - b**2 - b + 2. Give s(2).\nAnswer: -28","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((q*q**(3\/11))\/q*q**7*q)**(-6\/25))**(1\/4) assuming q is positive.\nAnswer: q**(-273\/550)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-21 - -23)\/(-2 - 468\/(-243)).\nAnswer: -27","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -i - 20 = -6*i. Let m = 3 - -6. Suppose -5 = -2*y + m. Calculate the remainder when y is divided by i.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -v = -w - 4, 2*v - 4 = v for w.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*d = 2*s - 13 - 3, 2*s = -4*d + 14. Let m(k) = -k**2 - k + 1. Let f(p) = -p**2 - 2*p + 6. Let y(h) = d*m(h) - f(h). Calculate y(0).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 1881452 to the nearest integer?\nAnswer: 1372","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -69 divided by -68313.\nAnswer: 23\/22771","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 141 - 282243*h**3 + 282243*h**3 + 116*h**4 with respect to h.\nAnswer: 464*h**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(l) = -2*l - 4*l - 3*l**2 + 6*l. Let t(r) = 87*r**2 - 54*r**2 - 51*r**2 - 30*r**2. What is t(o(d))?\nAnswer: -432*d**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 f and 1 x when two letters picked without replacement from gfsgxgp.\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -158*f**2*x**3 - 246461*f**2 + 2254*f*x**3 + 486*f*x**2 + 32 wrt f.\nAnswer: -316*x**3 - 492922","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Does 239 divide 116847?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let w(z) = z + 1. Let f be w(5). Suppose 2 + 46 = f*m. Calculate the remainder when 1\/((-2)\/(-46) - 0) is divided by m.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-p**4 + 4*p**4 + 0*p**4)*(-4 + 4 + 1 + (2 - 2 - 2)*(1 + 1 - 1) + 4 + 3 - 5 - 2 + 3 - 12).\nAnswer: -30*p**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: 136168056 divided by 1891223\nAnswer: 72","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of -2101, -8758, -19851, -35380?\n\"Answer: -2218*i**2 - 3*i + 120","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve -m**5\/6 - 9*m**4\/2 + 1018*m**3\/3 + 7390*m**2 + 76072*m\/3 + 23936 = 0 for m.\nAnswer: -51, -16, -2, 44","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -5826\/7685 + 9\/265. What is the common denominator of m and 20\/17?\nAnswer: 493","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (31 - 37) + (3 - -3).\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((2*-3*(5*-1*sqrt(42) + sqrt(42)))\/(3*sqrt(72)\/(sqrt(12) - sqrt(300))*5))**2.\nAnswer: 7168\/25","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 2ac13 (base 15) in base 6?\nAnswer: 2541330","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let t(a) = 23*a**2 + 3. Let r(y) = -22*y**2 - 4. Determine 3*r(g) + 2*t(g).\nAnswer: -20*g**2 - 6","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let h(w) = -3*w**3 - 28*w**2 - 4*w + 9. Let g be h(-10). Let t = -246 + g. Suppose 0 = 3*r - r - 4. Solve -a + 3 = -t*f + 4, r*a = 4 for f.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 110*u + 4901 = 577*u - 10510 for u.\nAnswer: 33","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 644, 1281, 1920, 2561, 3204, 3849?\nAnswer: 4496","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {v: 4, k: 8, d: 5}. Give prob of picking 4 d.\nAnswer: 1\/476","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Express -61 + 116 - 3675*o - 55 - 678*o in the form k*o + s and give k.\nAnswer: -4353","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 40 + -45. Let a = 1 - -2. Let b be (3\/t)\/(a\/2). Which is bigger: 0 or b?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 z, 2 y, and 1 w when four letters picked without replacement from yznwzlzyzlynlwynwy.\nAnswer: 2\/51","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let m(r) = -4397*r**3 - 63*r - 35. Let b(l) = -4396*l**3 - 56*l - 36. Let d(q) = -5*b(q) + 4*m(q). What is the second derivative of d(j) wrt j?\nAnswer: 26352*j","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 24393241 a multiple of 1719?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Work out 8 * -84570.\nAnswer: -676560","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let z(o) be the first derivative of -7*o**3\/3 - 2. Suppose 33 = 3*t - 3*b, 0 + 8 = -2*b. Let q(r) = -3*r**2 - t*r**2 + 8*r**2. Determine z(q(y)).\nAnswer: -28*y**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is 43450450 - -5?\nAnswer: 43450455","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*k + 75 = 5*r, 5*k = -4*r + 4*k + 60. Let g(p) = -1197*p + r + 1197*p - p**2. Determine g(0).\nAnswer: 15","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -60496*b - 2446*b - 20108*b - 18089*b.\nAnswer: -101139*b","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Put -2, 53, 38, -4 in increasing order.\nAnswer: -4, -2, 38, 53","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 10238 (base 13) in base 8?\nAnswer: 70422","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 70.023 - 70. Let k = c - 0.223. Let r = 3 + -4. Sort k, 2\/7, r in increasing order.\nAnswer: r, k, 2\/7","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: 7 times 0.006\nAnswer: 0.042","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let n(k) = 229*k - 676. Calculate n(3).\nAnswer: 11","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 39796?\nAnswer: 2, 9949","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:41 AM and 2:23 PM?\nAnswer: 342","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve -42*r + 29*r = 22 - 243 for r.\nAnswer: 17","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let q(h) = -4*h**3 + h**2 - h - 1. Let g be q(-1). Suppose -105 = -g*i - 0*i. Does 21 divide i?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*r - 2 = 18, 4*c + 5*r = 504. Is c composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 4.917751224 to 1 dp.\nAnswer: 4.9","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from vovjo. Give prob of sequence vj.\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: How many microseconds are there in 0.8933948 weeks?\nAnswer: 540325175040","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: (3\/(-29))\/((-90)\/60)\nAnswer: 2\/29","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let u(k) = k**2 - 31*k + 236. Let n be u(18). Let b(l) = 19*l**3 - 2*l**2 - 2. Let s(x) = 189*x**3 - 21*x**2 - 21. Calculate n*s(p) - 21*b(p).\nAnswer: -21*p**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Express 10*u**2 + 2*u - 5*u + 0*u as j*u + s*u**2 + v and give j.\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*l + 8 = -7, -30 = -2*p - 4*l. Let x(g) = 2*g**2 + p - 9. Let o(w) = w + 3*w - 5*w. Determine o(x(k)).\nAnswer: -2*k**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 1433 + -653. Round l to the nearest 100.\nAnswer: 800","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -36 = -3*w - 15. Suppose -11*y + w*y = 0. Solve 0 = 5*g + n - 25, 4*g + n - 17 - 3 = y for g.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(d) = d**2 + 3*d + 2. Let n be z(-2). Let v(t) = -11*t - 75. Let l be v(-7). Let j(i) = 4*i - 2. Let y be j(2). Solve n = l*o - y*o for o.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of 119539, 241037, 362535, 484033, 605531, 727029?\n\"Answer: 121498*q - 1959","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let h(d) be the second derivative of -4*d**3\/3 + 10*d**2 + d. Let r(g) = 3*g - 7. Let a be 0 - (-184)\/(-12) - 24\/(-18). Determine a*r(b) - 5*h(b).\nAnswer: -2*b - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*n + 641 = 7*n. Is n composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 3033 divided by 3?\nAnswer: 1011","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is 77 + -40622?\nAnswer: -40523","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Round -13997.02 to the nearest 100.\nAnswer: -14000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is -1 equal to 1362\/33667?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 18\/15*4\/((-56)\/35)?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*p = -382 + 400, -t = 2*p - 8 for t.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in -4641.4, 0.06, 4\/5?\nAnswer: 4\/5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*m - 3*m + 79 - 78 = 0 for m.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence dn when two letters picked without replacement from ffbnnnnfnuduznf.\nAnswer: 1\/35","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 1888108 to the power of 1\/6, to the nearest integer?\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is 22 - 121?\nAnswer: -22","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.00003570375 rounded to seven dps?\nAnswer: -0.0000357","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {z: 17, g: 2}. What is prob of sequence zz?\nAnswer: 136\/171","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let o(w) = 6*w**2 - 51*w - 1. Let g(d) be the third derivative of d**4\/8 - 62*d**2 - 3*d + 1. Give g(o(z)).\nAnswer: 18*z**2 - 153*z - 3","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the seventh root of 168549027 to the nearest integer?\nAnswer: 15","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -37 - -358. What is the highest common divisor of 9 and t?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 5005 - 5006. Let a = -0.3 - -0.1. What is the nearest to 0 in f, a, 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 2183 is divided by 91?\nAnswer: 90","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Does 4 divide 324?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let r(h) = 5*h**2 + 5*h**2 - 38 + 34 + h + 3*h**2. What is the units digit of r(-2)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (-3)\/6 - (-1)\/2*89. Suppose x = 5*x - t. Solve -5 = -3*n - x for n.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*x = c - 14, 0*c - 2*c + 4*x + 20 = 0. Calculate the smallest common multiple of c and -16*(-2)\/2 - 5.\nAnswer: 66","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose y = -x - 4 + 11, 4 = x - 2*y. Let r(z) = -z**2 - 11*z. Let k = 42 + -53. Let l be r(k). Put 2, x, l in increasing order.\nAnswer: l, 2, x","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: -65045 (base 9) to base 16\nAnswer: -a82c","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let w(z) = -160*z + 9. Let u = -21 + 20. Let h be 2*u\/(-3) + (-168)\/36. Is w(h) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -9072, -8744, -8156, -7314, -6224, -4892, -3324?\nAnswer: -1526","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 3*o + 2*s - 0*s - 14, 5*o = -5*s + 30 for o.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -5 + -2 - (0 - -9).\nAnswer: -16","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let n(p) = 38*p**4 - 14*p**3 + 8*p - 502. Let h(q) = 13*q**4 - 5*q**3 + 3*q - 167. Let m(t) = 8*h(t) - 3*n(t). Find the first derivative of m(u) wrt u.\nAnswer: -40*u**3 + 6*u**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -821823 divided by -5?\nAnswer: 821823\/5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (16\/6)\/((-6)\/(-54)). What is the second derivative of 3*r + 24*r**2 - v*r**2 - r**3 wrt r?\nAnswer: -6*r","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h be -1 + 2 - (-3)\/((-15)\/(-95)). Suppose 5*m - h = 5*z, 1 = 3*z - m + 11. What is the tens digit of z*256\/(-6) + -1?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -1\/3, 1\/5, -10 in decreasing order.\nAnswer: 1\/5, -1\/3, -10","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 445.82 + -1.82. Let f = u + -444.3. What is the biggest value in -0.1, -1\/37, f, 1\/6?\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -330245*q**3 - 105378995*q**2 - 9838680*q - 229680.\nAnswer: -5*(q + 319)*(257*q + 12)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 3890576?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Does 618 divide 22317641?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -87\/920 and -32\/707825?\nAnswer: 5662600","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in 160\/3, 164, 2\/3, -4\/3?\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let k be -5 - ((-10)\/(-25) + 206\/(-40)). Which is smaller: 76 or k?\nAnswer: k","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*l + 2*o = -18, 4*o = -l + 3*o - 1 for l.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is 8057 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -120*f**2 + 223*f**2 + 204*f**2.\nAnswer: 307*f**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 642, 1280, 1918, 2556?\nAnswer: 3194","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((d\/(d**1\/d))**(8\/3)*(d\/((d\/d**(1\/14)*d)\/d*d))\/(d*(d**(-9)\/d)\/d))**(-2\/73) assuming d is positive.\nAnswer: d**(-493\/1533)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: -8*5\/(-160)*((-19800)\/(-9))\/(-22)\nAnswer: -25","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let f(j) be the first derivative of 2*j**2 - 2*j + 12 + 2*j. Let g(q) = -q**2. Calculate g(f(b)).\nAnswer: -16*b**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve z - 17 = -2*b, -10616*b + 34 = -10621*b + 6*z for b.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (((-51)\/4403)\/3)\/(1\/7)?\nAnswer: -1\/37","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let x(o) = 5*o - 176. What is the remainder when 42 is divided by x(37)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -189 - 93 = -4*v + 3*p, -2*v = p - 146. Calculate the smallest common multiple of 33 and v.\nAnswer: 792","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3 - 5 = -v. Suppose -18 = 3*n - 78. Suppose 2*x - n = v. Is x a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 648667 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*j = 2*l - 51, l + j = 3*l - 45. Calculate the remainder when l is divided by 12.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 492 is divided by 29?\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 10286596, 10286597, 10286598?\nAnswer: 10286599","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 4034909922.\nAnswer: 2, 3, 672484987","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from fcfssffssfscsff. What is prob of picking 2 c?\nAnswer: 1\/105","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is (18585\/(-10))\/(-9)*2 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-6)\/(-16))\/((-441)\/126*(-10)\/3640).\nAnswer: 39","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Express -14*r**2 + 16*r**2 - r - 200*r + 16*r as i*r + m + z*r**2 and give z.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let d(s) be the third derivative of s**5\/72 - 775*s**4\/144 + 755*s**3\/9 - 281*s**2 + 3*s. Factor d(j).\nAnswer: 5*(j - 151)*(j - 4)\/6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 29, 81, 147, 227, 321, 429, 551?\nAnswer: 687","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Convert 11e1a (base 15) to base 6.\nAnswer: 1120411","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:51 AM and 6:03 PM?\nAnswer: 672","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let w(d) = 13*d**3 - 25*d - 3 - 5 + 8*d**2 + 3 + 4. Let g(t) = 7*t**3 + 4*t**2 - 13*t. Let f(x) = -11*g(x) + 6*w(x). Give f(-5).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 449927387*i**2 - 107470854*i wrt i.\nAnswer: 899854774","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in 2, -1.8, -8\/55?\nAnswer: -8\/55","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Sort 91715, -24, 33 in descending order.\nAnswer: 91715, 33, -24","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let b(f) = -3*f + 5. Let s(h) = h - 2. Let o(r) = -2*r + 2. Let n be o(0). Suppose z + 0 = -n. Determine z*b(g) - 5*s(g).\nAnswer: g","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let z(f) = 2*f**3 + 169*f**2 + 2107*f + 4401. Determine z(-12).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify z*z*z**5*(z**(-2\/5)\/z*z*z)\/z*z**(-7)*z**12 assuming z is positive.\nAnswer: z**(58\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is 5 a factor of 2537022975?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -20*i + 22*i + 21*i - 13.\nAnswer: 23*i - 13","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Put 26, 3\/5, -5, -2\/15, 2 in ascending order.\nAnswer: -5, -2\/15, 3\/5, 2, 26","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -i - 3*l - 8, -4 = 2*l - 0. Let t(u) = -3 - 3*u + 3*u**2 - 4 - 2*u**2. Let m be t(5). Put 1, m, i in ascending order.\nAnswer: i, 1, m","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(n) = 3*n + 29 - 55 + 23. Let x be r(3). Solve 0 = 5*t - 5*m - 40, 2*t - 20 = 4*m + x for t.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) -0.2 (b) -1 (c) -2\/19 (d) -3\/4 (e) -2\/31 (f) 17.67\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let g(x) = 2*x. Let v(h) = -97*h**2 + 203*h**2 - 110*h**2 - 3*h. Calculate v(g(l)).\nAnswer: -16*l**2 - 6*l","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: 8337 * -10\nAnswer: -83370","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -8*z**3 + 77384 + 16*z**3 - 77384.\nAnswer: 8*z**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 71, 131, 191, 251, 311, 371?\nAnswer: 431","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*q + 5*j - 26, 2*j + j + 6 = 3*q. List the prime factors of 2 - 1\/(q\/(-8)).\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 164 - 103. Let i = k + -37. Let t be (-2)\/8*i\/(-27). Which is the second smallest value? (a) t (b) -5\/4 (c) 0.1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(j) = -j - 3. Suppose y - 4*w = 15, -4*w - 4 = -3*y + 9. Let g be q(y). What is the second smallest value in g, 0.4, -3, 0.1?\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8 = -3*l - l. Suppose -l*o - 2*o + 4 = 0. Solve -3*a + 16 = -v, -7 = -2*a + o for v.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(v) be the second derivative of v**7\/14 + 7*v**6\/5 + 21*v**5\/10 - 59*v**4 + 369*v**3\/2 - 243*v**2 + 113*v + 3. Let q(b) = 0. What is b?\nAnswer: -9, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (3822 - 3833) + (-12812)\/(-1164)?\nAnswer: 2\/291","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 2505 and 51937?\nAnswer: 167","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let f(j) = 4 - 10*j**2 + 3*j + 17*j**2 - j**3 - 10*j**2. Calculate f(-3).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v be ((-28)\/(-8))\/(4\/72). What is the greatest common divisor of 987 and v?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*i = h - 11, h + 2*i = -3*i + 13 for h.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*h = -444 + 444. Let z(x) be the second derivative of h - 2\/3*x**3 - 6*x + x**2. What is the derivative of z(t) wrt t?\nAnswer: -4","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 90 a factor of 54922?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 280222?\nAnswer: 2, 140111","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-14)\/28*(-6)\/(-3)*56\/(-14)?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let q(j) = -j. Suppose 0*s = -2*s + 3*v + 9, 2*s + 4*v = 16. Let t(d) = -d. Let a(b) = s*t(b) - 5*q(b). What is the units digit of a(-1)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -984 - -426. Let j = f + 556. Let c = -0.3 + 0.4. What is the second biggest value in j, c, 0.5, 0.3?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 6 in 15, -69908, -4, 0.4, 0?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((-5*-2*sqrt(340) + sqrt(340) + sqrt(340) + sqrt(340) + sqrt(340))\/((sqrt(40)\/sqrt(2))\/sqrt(2)))\/(-5*(-6*sqrt(108))\/sqrt(6))*4)**2.\nAnswer: 13328\/2025","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let b(v) = -5*v**2 + 2*v**3 - v**3 - 2 + 2*v**2. Let u = 41 + -36. Does 24 divide b(u)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -1.75 - -1.6. Let v = 0.65 + o. What is the second smallest value in -3, v, -2\/5?\nAnswer: -2\/5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine t so that -11305*t + 54473 - 71*t**2 + 826*t**2 - 14048 + 5*t**3 = 0.\nAnswer: -165, 7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -12 - -11. Let n = j + 0.8. Let t = -1\/20 + -1\/5. Which is the smallest value? (a) -3 (b) t (c) n\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 36884885 divided by -5?\nAnswer: -7376977","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose t - 485560 = 200*t. Which is smaller: t or -2439?\nAnswer: t","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (y\/y**(-2\/3))**26\/(y**(-4\/5))**(1\/19) assuming y is positive.\nAnswer: y**(12362\/285)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 818 to the power of 1\/2, to the nearest integer?\nAnswer: 29","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (k**(-43)\/(k**(-48)\/k))**(-3\/14) assuming k is positive.\nAnswer: k**(-9\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 430 + 236. Let u = i - 613. Which is greater: u or 51?\nAnswer: u","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 885282?\nAnswer: 2, 3, 147547","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -582, -2384, -5442, -9792, -15470, -22512?\nAnswer: -30954","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of -9686, -19128, -28558, -37970, -47358, -56716, -66038, -75318?\n\"Answer: u**3 - 9449*u - 238","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:49 AM and 1:49 PM?\nAnswer: 120","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -3.2 - -48.2. Let v = u + -44. Let d(m) = m**3 + 4*m**2 - 7*m - 2. Let t be d(-5). Which is smaller: v or t?\nAnswer: v","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(l) = -l**2 - l + 2. Suppose -u = -2*k + 9, 5*u - u + 5*k + 10 = 0. Let v(d) = d**2 + 2*d - 4. Calculate u*i(s) - 3*v(s).\nAnswer: 2*s**2 - s + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: (-15)\/(-30) - 1\/(2\/5)\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(x) = 0 + 32*x - 1 - 45*x. Let i be j(-2). Suppose -90 = -y + i. Is y prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 8\/((1\/(-7 - -1))\/(3\/12))?\nAnswer: -12","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 4419.48kg in milligrams?\nAnswer: 4419480000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) 0.1 (b) -5 (c) 2\/5 (d) 4.436\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1040*f + 270 = -1022*f for f.\nAnswer: 15","meta":{"dup_signals":{},"source":"algebra__linear_1d_test"},"subset":"dm_maths"} +{"text":"Question: Is 47648095021 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) 0 (b) -3.9 (c) -0.434\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 85*r - 160*r = -2925 for r.\nAnswer: 39","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let u(b) = 2*b**3 + 111*b**2 + 1300*b - 159. Determine u(-17).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -21*a + 9*a + 84 = 0. Let j = 22 - a. Solve 7*w - j = 10*w for w.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = y - 5*b + 69, 3*y - 2792 + 2869 = 5*b for y.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is -1773352 greater than or equal to -1773352?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is 38585459701 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let r(u) = u**2 + 9*u + 3. Let v be (-61)\/7 + 8\/(-28). Let z be r(v). Suppose -180*p = -176*p - 8. Solve 4*w + 4 = -z*b, p*b - w = 3*b for b.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is -143 - -121442200?\nAnswer: 121442002","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 704 and 506007744.\nAnswer: 704","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 12353.67 litres?\nAnswer: 12353670","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 3299\/48 - 665\/16. Let j = x + -80\/3. Let 0*a + 1\/2*a**3 + 0 - j*a**4 + 0*a**2 = 0. Calculate a.\nAnswer: 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(l) = -4*l**3 - 11*l**2 - 3*l. Let h(d) = -4*d**3 - 12*d**2 - 4*d. Let y(b) = -3*h(b) + 4*q(b). Factor y(o).\nAnswer: -4*o**2*(o + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in 1.43, 3\/5, -3, -701\/3?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is -8006 > -136098\/17?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -x + 0*x = -5*z + 310, -3*z - 5*x + 214 = 0. Let j = -1238 + 1259. What are the prime factors of 6\/j - (-4014)\/z?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 s and 1 f when two letters picked without replacement from {s: 1, c: 1, f: 2}?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ww when two letters picked without replacement from {u: 2, w: 7}.\nAnswer: 7\/12","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Round -71.7696 to 1 dp.\nAnswer: -71.8","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let n(c) = c**2 + 6*c + 4. Let p(l) = -l**2 + 3*l + 4. Let t be p(4). Suppose -3*u + 4*r - 10 = t, -r - 16 = 2*u + r. Let b be n(u). Solve 2*m - b*m = -4 for m.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(z) = -z**3 + z**2 - 3*z + 79. Let m be x(0). Let a = m + -86. Let y = 11 + a. Solve -l + 9 = k, -y + 12 = -3*l + 4*k for l.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -12*r + 10*r = 38. Suppose 0 = -3*o + 2*f - 70, -3*o - 7*f + 12*f = 67. Let k = r - o. Solve 5*d - 5*j + 2*j = 17, 4*j = k*d - 21 for d.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0.06 in 2, 5, 2\/25, 159\/2, -4?\nAnswer: 2\/25","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is t in 4*t**4 + 19076*t**3 + 30318120*t**2 + 16048378800*t - 16078716000 = 0?\nAnswer: -1590, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 10663800?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: 24010 (base 7) to base 9\nAnswer: 8427","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 553963.7 litres?\nAnswer: 553963700","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -8, 2, 34, 100, 212?\nAnswer: 382","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let o(k) = 45*k**2 + k + 3. Let u be o(0). Let r be 2*(-1)\/2*5. Sort 1, u, r, 4 in decreasing order.\nAnswer: 4, u, 1, r","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 52*a + 405 - 1252 = -69*a for a.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 9139 to the power of 1\/9, to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let x(t) = -234*t**4 + 8*t**2 + 453. Let h(f) = -702*f**4 + 23*f**2 + 1358. Let d(w) = -6*h(w) + 17*x(w). What is the first derivative of d(v) wrt v?\nAnswer: 936*v**3 - 4*v","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-18550)\/(-530) - (2 + 3 + 31).\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*y - 2*y. Suppose 3*o - 2*i - 101 = y, 0 = -4*o + i + 37 + 96. Let w = o - 18. List the prime factors of w.\nAnswer: 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 219b8c (base 13) to base 5.\nAnswer: 200333040","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -o + 19 = -0*o + 4*n, -2*o - n = -24. Let g = -13 + o. Put 3, -3, g in increasing order.\nAnswer: -3, g, 3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -5 by -602.\nAnswer: 5\/602","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 84 + 171\/2*u**2 - 339\/2*u + 3\/2*u**3 - 3\/2*u**4 = 0. Calculate u.\nAnswer: -8, 1, 7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from rzmjjjoj. Give prob of picking 1 j and 1 m.\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Divide -4 by -1366.\nAnswer: 2\/683","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is 10201 + 2022111210212?\nAnswer: 2022111221120","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (38 - 2) + -38 + -8 - 17.\nAnswer: -27","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 5*p + o - 2133, -2*p + 810 = -6*o + o. Let q = 171 + -121. Calculate the greatest common factor of p and q.\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {x: 13, p: 3}. What is prob of picking 1 p and 2 x?\nAnswer: 117\/280","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -7789*p**3 - 16149*p**3 + 6897*p**3.\nAnswer: -17041*p**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 19662 and 83394?\nAnswer: 2418426","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*q - 3 = 3. Let l = q - -3. Let b be (-2)\/(-4)*(l - 0). Solve b = -3*m - 2*m - 20 for m.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 25*u**2 - 197*u + 197*u.\nAnswer: 25*u**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 0 - 1. Let u be (i + -9)*(-4)\/4. Let l = u + -7. Is l a multiple of 3?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose t - 62 = 3*t. What is the units digit of 112\/(-6)*(-2 - t\/(-4))?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 7231873?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is 1003 - -10?\nAnswer: 1013","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is -40222540 - 0?\nAnswer: -40222540","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Expand 6*f**3 - 14*f**3 - 5*f**3 + (4*f + f**3 - 4*f)*(-1 - 1 + 0) + 0*f**3 + f**3 - 2*f**3 + 2*f**3 + 1 - 1.\nAnswer: -14*f**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -1 + -3 + -4 + sqrt(20)\/(sqrt(4)*3) + -4 + sqrt(320) + -1 + sqrt(10)\/sqrt(2) + -2.\nAnswer: -15 + 28*sqrt(5)\/3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Put -1, 3, 8, -5 in descending order.\nAnswer: 8, 3, -1, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is 533bb6 + 0?\nAnswer: 533bb6","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 37556 is divided by 745?\nAnswer: 306","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -286, -585, -888, -1195?\nAnswer: -1506","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let r(a) = a**2 + 176*a + 7445. Give r(-74).\nAnswer: -103","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Sum -4 and -0.1375887.\nAnswer: -4.1375887","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*h + 5*d = 475, 0 = 2*d - 6*d - 4. Let r = h - 92. Suppose r*k + 3*s - 606 = -k, -k - s + 120 = 0. Does 20 divide k?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*x - 295 = -31*n, 2*x + 905 = -3*n + 941 for n.\nAnswer: 10","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 657 minutes before 5:48 PM?\nAnswer: 6:51 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 9*b**3 + 1 + 32*b - 32*b - 2 to the form u + t*b**2 + c*b + o*b**3 and give o.\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is -100000 + 10101011101111110101010?\nAnswer: 10101011101111110001010","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve 45*a - 348 - 6 + 143 = 509 for a.\nAnswer: 16","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 27, 44, 63, 84?\nAnswer: 107","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 1154.1 - 1158. What is the nearest to z in -0.03, -0.4, 0?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify c*(((c*c*c*c\/(c**(-6)*c)*c)\/c*c)\/c)\/c*c*c*c**(3\/7)*c*(c**(-1))**(22\/7)*c**4\/c**(-5\/6)*c**(2\/5)\/(c**6\/c*c) assuming c is positive.\nAnswer: c**(1789\/210)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*w - 1 = -9. Solve -h - r + w = h, 0 = h + 2*r - 5 for h.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth root of 5138 to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 16.9 + -19. Let z = -1.1 - y. What is the nearest to z in -3, 0, -3\/7?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 300 or 302?\nAnswer: 300","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 145610.\nAnswer: 2, 5, 14561","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -87 and 2.\nAnswer: -174","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 1552 - 1551. Which is the closest to 1? (a) -14 (b) -5 (c) r\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 24 is divided by (14 - 24)*3\/(-5).\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(l) = -13*l**3 - 18*l + 31*l**3 + 13*l**2 - 8 - 19*l**3. List the prime factors of z(10).\nAnswer: 2, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 6027 = -85*h + 40*h - 102*h for h.\nAnswer: -41","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is 32647 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -4 - -7. Does 5 divide r\/(-18) + (-86)\/(-12)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(w) be the second derivative of -w**6\/50 - 9*w**5\/20 - 12*w**4\/5 + 32*w**3\/5 - 460*w. Solve x(f) = 0.\nAnswer: -8, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -2 (base 13) to base 8.\nAnswer: -2","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 120060643 to the power of 1\/2, to the nearest integer?\nAnswer: 10957","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6 = -7*a + 22. Suppose -2*b + a = -6. Let i be (-3)\/((-27)\/(-51)) - b\/15. Let k(h) = -h**2 - 7*h - 2. Determine k(i).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of 636, 222, -192, -606, -1020?\n\"Answer: -414*w + 1050","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 222 is divided by 114?\nAnswer: 108","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let l(f) = 4*f**3 - 12*f**2 + 9*f - 56. Give l(4).\nAnswer: 44","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 294*x**2 + 104*x**3 + 2513*x**2 - 302*x**2 + 371*x**2.\nAnswer: 104*x**3 + 2876*x**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let z(y) = -5*y - 7. Let n(f) = -f**2 - 25*f - 121. Suppose 0 = 28*s + s + 174. Let k be n(s). What is z(k)?\nAnswer: 28","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(o) = 5*o**2. Suppose 3 = 3*c - v, 4*c - 12 = 9*c + 4*v. Let s(m) be the second derivative of -1\/3*m**3 + c*m**2 - 7*m + 0. Calculate y(s(r)).\nAnswer: 20*r**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 53231238?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 8702 - 8704. Which is the closest to r? (a) 0.3 (b) -3 (c) -10 (d) -2\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -177.94 + 170. Let n = -1.24 - j. Let u = n - 7. Which is the third biggest value? (a) -1 (b) 4 (c) u\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -2056 + 12293\/6. Find the common denominator of -38\/5 and p.\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 38 + -57 + -1 + -3?\nAnswer: -23","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -10321, -10431, -10539, -10645?\nAnswer: -10749","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 599 minutes after 2:06 PM?\nAnswer: 12:05 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Sort -3, 0, -56, -2, 8 in decreasing order.\nAnswer: 8, 0, -2, -3, -56","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let z(r) = r**3 + 4*r**2 - 19*r. Let x be z(3). Solve -5*m - x = -1 for m.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) -1\/3 (b) -2\/31 (c) 0.3 (d) -1\/22\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(84)\/(sqrt(1452) + 1*sqrt(1452)) + 2 + (sqrt(168)\/sqrt(4))\/sqrt(6))**2.\nAnswer: 46*sqrt(7)\/11 + 5639\/484","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Express (3 - 2*a - 3)*(-5 - 16 + a**2 - 11) as s + r*a**3 + f*a**2 + z*a and give r.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve -7*j - 33 = 5*o, 4*o + 15*j = 12*j - 29 for o.\nAnswer: -8","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 31571*l**2 - 15787*l**2 - 1625*l - 15782*l**2 - 521*l.\nAnswer: 2*l**2 - 2146*l","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence aad when three letters picked without replacement from aad.\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is 4037707 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -29\/1868244 and -103\/2802366?\nAnswer: 5604732","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence brrr when four letters picked without replacement from rrrrrrrbrrrrrrrbrb.\nAnswer: 91\/816","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*p - 3*w - 138 = 0, 3*p + 5054 - 10013 + 5099 = -w for p.\nAnswer: -47","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0.23*-255.\nAnswer: -58.65","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (9\/5)\/((-8)\/5). Let m = c + 29\/40. Let b be (-3 - 99\/(-27))\/(1\/3). What is the second smallest value in m, -1, b?\nAnswer: m","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of 8, 480, 1766, 4274, 8412, 14588, 23210?\n\"Answer: 68*z**3 - z**2 - z - 58","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let f(y) = -6*y**3 - y**2 - y - 1. Let c be f(-1). Let r = 8 - c. Let n(q) = -3*q**3 + q. Let v be n(-1). Solve a = v*a - r for a.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -13*i**3 + 5*i**3 + 6*i**3.\nAnswer: -2*i**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -71020 + 203377. Is a a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 5 and 7.\nAnswer: 35","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 446.22 + -450. Let k = p + -0.22. Is 4 greater than k?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:54 AM and 9:38 AM?\nAnswer: 44","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -391 - -397. Suppose -3*g + 2 = 26. Let h be (-1)\/2*4 + g\/(-1). Solve -h = 3*t - a*t, 2*t = 5*w + 19 for w.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*u = 21, -u - 443223 = -2*h + 93376. Is h prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -14*u**2 + 55*u**2 + 51*u**2 + 71*u**2.\nAnswer: 163*u**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 20 + -17. Solve w*f + o = 7, -2*f - 11 - 7 = -5*o for f.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 39*k**5 - 102*k + 102*k - 3*k**5 - 2*k**4 + 2*k**4 + (0*k + k - 3*k)*(k - k - k**4) - k**5 + k**5 - k**5.\nAnswer: 37*k**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Put 2092, -5, 9 in descending order.\nAnswer: 2092, 9, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is (56\/(-140)*(12870 - 2))\/(2\/(-20)) a multiple of 14?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 2868 is divided by 147?\nAnswer: 75","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let i(t) = 17*t + 62. Let b be i(-4). Let y = -0.287 - -0.417. Put y, -0.2, b in ascending order.\nAnswer: b, -0.2, y","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 12 - 9. What is the first derivative of -6*z**3 + 3*z**s + 4*z**3 + 8 + z**3 wrt z?\nAnswer: 6*z**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -47\/81276 and 93\/27092?\nAnswer: 81276","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let j(t) = -5*t. Let l(m) = 13*m + 36. Determine l(j(x)).\nAnswer: -65*x + 36","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -6*-1*(sqrt(7) + 0 + sqrt(14)\/sqrt(2)).\nAnswer: 12*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 73.235 rounded to the nearest integer?\nAnswer: 73","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 816.221 - 817. Let t = 0.059 + g. Round t to one dp.\nAnswer: -0.7","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 4 + 2 + -17 + 11.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: 528\/45*105\/(-80)*68\/(-238)\nAnswer: 22\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 0 - 6 - 5\/(-1).\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -5, -0.3, 0, 5, 2.049 in descending order.\nAnswer: 5, 2.049, 0, -0.3, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let d(r) = 12*r + 771. Let w be d(-61). Does w = 37?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 49165824?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Work out -1.93377 * -5.\nAnswer: 9.66885","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*b + b + 116 = 3*v, v = 2*b + 40. Calculate the greatest common divisor of 80 and v.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (0\/2)\/(0 + 3). Let o be (k - 1)*(-2)\/37. Let d = o + 31\/111. What is the nearest to -3\/5 in -5, d, 0.2?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -3, 37, 3 in descending order.\nAnswer: 37, 3, -3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-4 + ((sqrt(5) - (sqrt(720) + 1 - sqrt(720))) + (sqrt(320) - -1*sqrt(320)) + -5 + sqrt(20) + sqrt(720) + sqrt(720) + 1)**2)*4.\nAnswer: -1720*sqrt(5) + 37064","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve -200 = -11*u - 134 for u.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 80454 in -2, 2\/5, 2?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-15)\/(-42)*-3*(-461608)\/98916.\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 2131, 4212, 6259, 8260, 10203, 12076, 13867?\nAnswer: 15564","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (r*(r\/((r\/(r*r**(5\/2))*r)\/r))\/r*r*r**5)**(-1\/31)*r**(-1\/2)\/(r\/((r**7*r)\/r))*r\/r**(-1\/6)*r**(-4\/7) assuming r is positive.\nAnswer: r**(7537\/1302)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 128c0 (base 13) in base 15?\nAnswer: a328","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in 2\/17, 2\/7, 5\/2, 3, -3.88, 0.6?\nAnswer: 5\/2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let q be 4\/10 - (-16)\/10. Suppose m - 72 = -q*m. Let d(w) = w**3 + 10*w**2 + 8*w - 4. Let i be d(-8). Calculate the greatest common factor of i and m.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 1299, 10038, 33535, 79098, 154035, 265654?\nAnswer: 421263","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 27 and 9083826.\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 0 + 2. Suppose 3*u - 64 = x*r, u + 5*r - 4 = 6. What are the prime factors of u?\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3*y + 5*y - 3*y)*(-1 - y + 1)*(2 - 2 - 3) - 3*y**2 + 6*y**2 - y**2.\nAnswer: -y**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let i(x) = -524999*x**2 - 3*x + 2. Suppose -2*z + 5 = 2*r - 3, -5*z - 4*r = -21. Suppose c + 8 = z*c. Let j be i(c). What is j rounded to the nearest 1000000?\nAnswer: -2000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 296 - -19. Let g = o - 305. Solve 25 = -g*c + 5*c for c.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of 91204, 182404, 273604, 364804, 456004, 547204?\n\"Answer: 91200*z + 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Convert 6.975167 seconds to milliseconds.\nAnswer: 6975.167","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 156965983 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 6 and 3078?\nAnswer: 3078","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 84729?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 1333 = 3*s - 428. Is s prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 38.7 and -2461?\nAnswer: -95240.7","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve -441 - 8925 = 223*f for f.\nAnswer: -42","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: 3568 + -0.03\nAnswer: 3567.97","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -3 + 3 + 24*o - 35*o.\nAnswer: -11*o","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -3 + (-1 - -7) - (-3 + 1).\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: 0.1 * -90\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Divide -17 by 3384714.\nAnswer: -17\/3384714","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -1 - (-39 + 15 - -36).\nAnswer: -13","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (-3 + 1)*(3 - 1) - -6. Let q(v) = -108 - 96 - 11*v - 105 + 380 + v**n - 102. Give q(13).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 0.234 - -0.066. Round s to one decimal place.\nAnswer: 0.3","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 23*c - 27*c - 12 = 0. Let w be (15\/(-10))\/(c\/1282). Let t = w - 415. Is t a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of -7, -4, -1, 2?\n\"Answer: 3*k - 10","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: 504 divided by 4026\nAnswer: 84\/671","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve 46818*h = 46818*h - 4*c, -h - 19 = -c - 0*c for h.\nAnswer: -19","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (120*(-61)\/5856)\/((-1)\/24)?\nAnswer: 30","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 435914919 is divided by 280?\nAnswer: 279","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 3603 + -3587. What is the highest common divisor of 3 and s?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 13597*h = 13574*h - 322 for h.\nAnswer: -14","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let c(f) = f**3 + 12*f**2 + 4. Let u be c(-12). Solve 9 = -u*s - 5*s for s.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (-2 + 3)\/((-3)\/(-6)). Suppose -4*b + 3*j - 2 + 7 = 0, 0 = -3*b + x*j + 4. Suppose 5*v = b + 3. What is the closest to v in -5, 4, 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -38 = -2*y + 4*r, -5*y - 86 + 217 = 2*r. Calculate the remainder when y is divided by 13.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:14 PM and 4:44 PM?\nAnswer: 270","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*m + 26 = m - u, -4*m = 2*u - 48. Suppose 6*a - a = 3*g + 553, 0 = -4*a - g + 439. Calculate the highest common factor of m and a.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of -174, -342, -506, -666?\n\"Answer: 2*l**2 - 174*l - 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Does 11 divide 2310?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -2 or -74\/51?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let w be -2 - (-5)\/(15\/(-6)). Let g = w + 10. Suppose -g*m + 11*m - 180 = 0. Is 12 a factor of m?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is -3633 - -5496?\nAnswer: 1863","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.29337672 to four decimal places.\nAnswer: 0.2934","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:12 PM and 9:02 AM?\nAnswer: 710","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Put -1, -2, -3, 19, -19, -4 in decreasing order.\nAnswer: 19, -1, -2, -3, -4, -19","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 23 - ((4 - 6) + 6 - (5 + 5))?\nAnswer: 29","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Factor 4*r**4 + 1317572*r**3 + 3952692*r**2 + 3952684*r + 1317560.\nAnswer: 4*(r + 1)**3*(r + 329390)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let v(r) = -152075*r**3 - 280*r**2 + 70*r + 140. Let s(h) = -6612*h**3 - 12*h**2 + 3*h + 6. Calculate 70*s(c) - 3*v(c).\nAnswer: -6615*c**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*m = -5*w + 19, 3*m + 2*w + w - 21 = 0. Suppose -35 = -m*p - 5*p. Do p and 4 have different values?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -y = -4*g - 75, -5*y + 53*g - 52*g = -432. Calculate the remainder when 554 is divided by y.\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 0.5 + -0.4. Let a = z + -2.6. What is a rounded to 0 decimal places?\nAnswer: -3","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -y + 186 + 3 = 3*b, 0 = -4*y + b + 691. Suppose 0*a + 162 = 3*a + 3*p, p + y = 3*a. Suppose -5*n + 7 = -2*m + a, -n = 2. Solve -3*v = v - m for v.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 378 and 72387?\nAnswer: 189","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(2352)*2*4 - (sqrt(2352) + (sqrt(2352) - (sqrt(2352) + 1*sqrt(2352))*3) + sqrt(2352) + sqrt(2352) - sqrt(2352) - sqrt(2352)))**2 + 1)*-4.\nAnswer: -1354756","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 8 + 8.4. Let n = 16.6 - g. Which is the second biggest value? (a) 13 (b) -0.3 (c) 0.5 (d) n\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of 1155, 6676, 21667, 50862, 98995, 170800, 271011?\n\"Answer: 789*j**3 + j**2 - 5*j + 370","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let i be 15\/6 + 3\/6. Suppose 2 = 3*a - s, -18 = -2*a - 4*s + 2. Suppose -t - a*t = -24. Solve -n = i*n + t for n.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 9*a*k**5*w + 57*a*k**4*w - 4*a*k**2*w - 2*a + k**2 + 4*k*w wrt k.\nAnswer: 540*a*k**2*w + 1368*a*k*w","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 j and 3 w when four letters picked without replacement from {j: 1, w: 1, r: 1, e: 2}?\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the seventh root of 15141 to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 3496622 is divided by 39.\nAnswer: 38","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*j**3 - 118810*j**2 + 2140400*j + 4756000 = 0. What is j?\nAnswer: -23780, -2, 20","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let c(s) = 2. Let k(x) = x**3 + 2*x + 2. Let d be k(-1). Let n(i) = -i - 1. Let z(l) = d*n(l) - c(l). What is z(5)?\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(g) = 2*g**3 + 5*g**2 + 18*g - 559. Let u(a) = -a**2 - 6*a + 1. Give -r(b) - 3*u(b).\nAnswer: -2*b**3 - 2*b**2 + 556","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is 34575 a multiple of 20?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from nncynnyc. What is prob of picking 4 n?\nAnswer: 1\/70","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there in one sixth of a day?\nAnswer: 240","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (-1)\/3 - (-568)\/12. Let n = p + -281\/6. Let o be (2 + -1)*(-2)\/(-2). What is the closest to o in -0.1, n, -1\/5?\nAnswer: n","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let -3*t**4 + 53655*t**3 - 1768293*t**2 + 16872933*t - 49860636 = 0. Calculate t.\nAnswer: 7, 19, 17852","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve -675 = -1803627*s + 1803652*s for s.\nAnswer: -27","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*b - 2*b - 5. Suppose 288 = b*w - w. Suppose -5 = -g + w. Is g a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 2133810 and 10364220.\nAnswer: 72549540","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is (6\/124)\/((-29 - -109)\/160)?\nAnswer: 3\/31","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is 684407 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 22 + 6 + 1 + (-260 - -252).\nAnswer: 21","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((k*k**(2\/17))\/(k*k\/k**(-6)*k))\/(k**(-1\/6)\/(k**5\/k*k)) assuming k is positive.\nAnswer: k**(-277\/102)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -0.2*19.256.\nAnswer: -3.8512","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 8 + -4. Suppose 41 = 2*x - u, 5*x - v*u - 33 - 62 = 0. Let c = -16 + x. What is the highest common divisor of c and 49?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(x) = -x**3 - 10*x**2 + 13*x + 5. Let i be y(-9). Let n = i - -325. Round n to the nearest ten.\nAnswer: 130","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(q) be the first derivative of -11*q**5\/5 + 7*q**2\/2 - 11. Find the second derivative of c(l) wrt l.\nAnswer: -132*l**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -17*f + 16*f = -8 for f.\nAnswer: 8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2*f**3 + 0*f**3 - 4*f**3 - 3718*f**2 + 3718*f**2.\nAnswer: -2*f**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let o(i) = -34*i - 4. Suppose 11*n - 23*n = -11*n + 1. Let c be (2\/(-2) - 3)*1. Let w(g) = g + 1. Let v(f) = c*w(f) + n*o(f). Let h(j) = 2*j. Determine h(v(x)).\nAnswer: 60*x","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*x**5\/9 - 1820*x**4\/9 - 38584*x**3\/9 - 207752*x**2\/9 + 38588*x\/9 + 209572\/9 = 0. What is x?\nAnswer: -433, -11, -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -4 + 0. What is the units digit of (-3 + 1)\/(t\/16)?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -15*g**5 - 965*g**4 - 7955*g**3 - 14095*g**2 - 3850*g = 0. Calculate g.\nAnswer: -55, -7, -2, -1\/3, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*w = 3*l - 6, -3*w + 4 = 2*l - 2. Let x = l - 8. Find the common denominator of -89\/16 and (219\/(-24))\/((-6)\/x).\nAnswer: 48","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((l\/((l\/l**(-17))\/l*l))\/l**(-2\/7))\/(l*l*(l*l**4)\/l)**(-10\/17) assuming l is positive.\nAnswer: l**(-1569\/119)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -46887, -46878, -46871, -46866?\nAnswer: -46863","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of -7, -14, -13, 8, 61, 158?\n\"Answer: 2*r**3 - 8*r**2 + 3*r - 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Work out -0.06 * -130.\nAnswer: 7.8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 76077.\nAnswer: 3, 79, 107","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Work out -0.001 + -0.0726.\nAnswer: -0.0736","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of -7812, -15630, -23438, -31230, -39000, -46742, -54450, -62118?\n\"Answer: j**3 - j**2 - 7822*j + 10","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 1105 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: Express 112*f - f**4 - 2*f**2 + 4*f**3 - 116*f - f**2 - 2*f**3 in the form m + x*f**2 + v*f + j*f**3 + a*f**4 and give j.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -1717\/4 + 426. Let n = 61\/20 + p. Let v = -135\/94 - 3\/47. Which is the third smallest value? (a) -0.4 (b) v (c) n (d) 20\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 7, 0.4, 0.03, -4 in ascending order.\nAnswer: -4, 0.03, 0.4, 7","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {f: 3, n: 4, i: 1, c: 2, g: 1, l: 1}. What is prob of sequence ff?\nAnswer: 1\/22","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is 344 - -246?\nAnswer: 612","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((u**(-5\/8)\/u)\/u)**(13\/6) assuming u is positive.\nAnswer: u**(-91\/16)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is 331046 + 4652?\nAnswer: 336031","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let s(p) be the third derivative of -2*p + 49\/60*p**5 + 7*p**2 + 47\/12*p**4 + 0 + 0*p**3. Find the second derivative of s(n) wrt n.\nAnswer: 98","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: 10111 (base 2) to base 5\nAnswer: 43","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0.2, 69, 4, -5, 0.5 in descending order.\nAnswer: 69, 4, 0.5, 0.2, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 3234625.\nAnswer: 5, 113, 229","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: 33 (base 5) to base 7\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-80)\/(-210)*(-45)\/(-180).\nAnswer: 2\/21","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 3 c when three letters picked without replacement from {o: 3, z: 1, w: 5, c: 6}?\nAnswer: 4\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Round 5361855.2 to the nearest 1000000.\nAnswer: 5000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 140, 180, 270, 434, 696?\nAnswer: 1080","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 739 to the nearest integer?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -85\/56 and -133\/8406.\nAnswer: 235368","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 85073?\nAnswer: 241, 353","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 1 in 23, 35, -7\/5, -4, 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let k be ((-12)\/(-2))\/2 - 3. Suppose k = -q + 6. Suppose -140 = -25*s + 85. What is the greatest common divisor of q and s?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(x) = x - 9. Let m be o(11). Solve -5*n - 25 = -m*z - 3*z, 4*z = -n + 5 for n.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(f) = -2*f**3 + f**2 + f + 1. Let p = -5 + 82. Let y(g) = 77*g + g**3 - g**2 - p*g. What is k(c) + y(c)?\nAnswer: -c**3 + c + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*z + 44 = 8*z. Find the second derivative of 1 + 7*s - 30*s**4 + 4*s + s**2 + 65*s**z wrt s.\nAnswer: 420*s**2 + 2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-1*3*((2*sqrt(612) - sqrt(612)) + 4 + (sqrt(612) + -3*(sqrt(612) + -2) - sqrt(612)) + sqrt(612)))**2*3.\nAnswer: -3240*sqrt(17) + 19224","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(8)\/sqrt(4))**2 + 1 + -5 + (sqrt(18) - sqrt(2))**2.\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -685 = -27*p + 395. What is the greatest common factor of 25 and p?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -53*m**3*q**2 + 88*m**3*q + 28*m**2*q**2 - 9*m*q**2 - 3 wrt m?\nAnswer: -318*q**2 + 528*q","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let x(j) be the third derivative of -j**5\/30 + 29*j**4\/24 - 7*j**3\/3 - 21*j**2. Let b be x(12). Sort -5, b, 1.\nAnswer: -5, 1, b","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(x) = 138*x + 17. Let y(f) = -28*f - 3. What is -4*n(d) - 22*y(d)?\nAnswer: 64*d - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 2224 - 965. Does 12 divide i?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: 1*2474035\nAnswer: 2474035","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -115\/6 and 37\/2*39\/(-65).\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (-7)\/((-7)\/3) + 0. Suppose -4*b - 2*k + 37 = -23, -5*b + 64 = -u*k. What is the remainder when 48 is divided by b?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*m**5 + 7865*m**4 + 3096835*m**3 + 3081115*m**2 - 3096840*m - 3088980 = 0 for m.\nAnswer: -786, -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -0.63 - 3.77. Let n = 2.4 + l. Which is the second biggest value? (a) n (b) -3\/8 (c) 2\/9\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many hours are there in five quarters of a day?\nAnswer: 30","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-4 + 1 + 2)*(4*v - 2*v + 0*v) - 3*v + 2*v + 0*v + v - v - 3*v - 6*v - 13*v + 12*v to the form k*v + t and give t.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let a(x) = -4*x - 3. Let d(r) = -r**2 - 48*r - 81. Let z be d(-46). What is a(z)?\nAnswer: -47","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose j - 6 = 16. Calculate the least common multiple of (-7719)\/(-465) - -2*(-3)\/10 and j.\nAnswer: 176","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((h**(-12\/5)\/h)\/h)\/((h\/h**(-3\/16))\/h))**(-1\/59)\/(h**8*h**5*h*(h**(-2))**42) assuming h is positive.\nAnswer: h**(330767\/4720)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: How many milligrams are there in 7161.685t?\nAnswer: 7161685000000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {n: 2, b: 7, t: 4}. What is prob of sequence ntn?\nAnswer: 2\/429","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 2 and 818?\nAnswer: 818","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 9 and 8766.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 745 and 2831.\nAnswer: 149","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (477 + -3)\/(2 + 0). Suppose -5*h = -2*l + 155, -3*l = -h - 2*h - c. Let y = 108 - 76. Calculate the greatest common factor of y and l.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 4482 and 108.\nAnswer: 54","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Find q such that 4*q**3 + 161772*q**2 - 279388872*q = 0.\nAnswer: -42102, 0, 1659","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Does 231 divide 577347?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let l(i) be the first derivative of 0*i**2 + 1\/3*i**3 + 0*i - 23. Let v(a) = 2*a**2. Determine v(l(g)).\nAnswer: 2*g**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let t(u) be the first derivative of -u**2\/2 + 261. Let l(h) = -4*h - 1. Calculate -l(n) - 3*t(n).\nAnswer: 7*n + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -34901*n - 3267*n**2 + 2893*n**2 + 34903*n.\nAnswer: -374*n**2 + 2*n","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 2940163 is divided by 84?\nAnswer: 79","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 2087.5 minus 93?\nAnswer: 1994.5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:01 PM and 7:07 PM?\nAnswer: 366","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let c(l) = -9*l**2 + 5*l. Let n(t) = -3*t**2. Determine n(c(z)).\nAnswer: -243*z**4 + 270*z**3 - 75*z**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let y(s) = 34*s**2 - 26*s - 69. Is 27 a factor of y(-10)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 498805.\nAnswer: 5, 99761","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*j + 4165 = -y, -2*j + 20825 = -8*y + 3*y. Let i = y + 33415\/8. Calculate the common denominator of -49\/12 and i.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -1 in -0.16, 0.050009, -5, 2?\nAnswer: -0.16","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 3949354 is divided by 916.\nAnswer: 478","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2, -5, -145, 4, 1467, 0 in increasing order.\nAnswer: -145, -5, 0, 2, 4, 1467","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 3 - 0 - (6 + -2).\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let c be 5*18\/210 + 488\/(-28). Let s(h) = 3*h**2 + 17*h + 35. Let i(n) = n**2 + 6*n + 12. Give c*i(t) + 6*s(t).\nAnswer: t**2 + 6","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5 = 4*y + 3*r, 3 + 7 = 4*y + 2*r for y.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let u(i) = 4*i + 34. Suppose -8 = -2*c + y - 2, -4*c - y = 0. Let f be (4 - 4)\/(-4)*c\/3. Is u(f) a multiple of 27?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(z) = z**3 - 4*z**2 + 2*z + 1599. What is the thousands digit of u(0)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*p + 52 = 2*k, 4*k = 4*p + 5*k + 64. Which is smaller: -16 or p?\nAnswer: -16","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-3 + ((sqrt(75) - (-3 + -3*sqrt(75))) + sqrt(75))*5*-4 + 2)**2.\nAnswer: 61000*sqrt(3) + 753721","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve -18*d - 27*d = -43*d - 28 for d.\nAnswer: 14","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Work out -10318514702.005 + 0.1.\nAnswer: -10318514701.905","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: (((-54)\/(-12))\/(-9))\/(3\/6)\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is 103123123 + 4?\nAnswer: 103123132","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 63734?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 100947?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 6 - 290735*v - 1 - 3.\nAnswer: -290735*v + 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let b(l) = -l**3 + 9*l**2 - 8*l + 11. Let s(q) = 3*q - 16. Let n be s(8). Is b(n) a multiple of 5?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(g) = -g**3 - 2*g**2 + 4*g + 1. Let w(j) = 2*j**2 - 8*j - 12. Let z be w(5). Let s = -5 - z. Give d(s).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of 4881, 16229, 35143, 61623, 95669, 137281?\n\"Answer: 3783*l**2 - l + 1099","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 0 - -2. Suppose 2*m + o*m + 50 = -2*l, 4*m + 51 = -l. Let g = m + 30. Calculate the remainder when 67 is divided by g.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -21245653 (base 7) in base 4?\nAnswer: -12321321100","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 15*c**3*k**3 + 164352*c**3*k*m - c**3*k - 110*c**2*k**3*m + 688*c**2*k**2 - 63*k**3 with respect to m.\nAnswer: 164352*c**3*k - 110*c**2*k**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-6*(-1 + -3*(sqrt(128)*2 + sqrt(128))*-4 + 5))**2.\nAnswer: 82944*sqrt(2) + 5972544","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Expand -5*i**3 - 49*i**3 - 6*i**3 + (2*i**2 + i**2 - i**2)*(-2*i + i - i) + 457 - 13*i**3 - 457.\nAnswer: -77*i**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 6526257 and 2?\nAnswer: 13052514","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:18 AM and 9:55 AM?\nAnswer: 217","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Subtract 25748069 from -21.\nAnswer: -25748090","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*y - 7 = -2*m, -2*y + 5*m + 17 = 2*y. Solve t - 8 = 3*q, -10 = -4*t - 2*q + y*q for t.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.0564483773 to three decimal places.\nAnswer: -0.056","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 14736 + -14599.6. What is the second smallest value in 0, -1, a?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 3*((sqrt(44) + sqrt(88)\/sqrt(2))\/sqrt(4))**2*-6.\nAnswer: -792","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 37617829?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of -980, -8315, -28192, -66881, -130652, -225775, -358520, -535157?\n\"Answer: -1045*a**3 - a**2 - 17*a + 83","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 10662386?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 33701703?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 l and 1 y when three letters picked without replacement from yylyllllyyyll?\nAnswer: 63\/143","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -563 - -588. What is the remainder when 49 is divided by j?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(s) = 12*s - 9. Let a be v(-3). Let l = 140 + a. Is 27 a factor of l?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 4928\/(-462)*(-3)\/4.\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Product of 3144450 and 4.\nAnswer: 12577800","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2898 - 1457 = -13*t. Is t composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(u) be the first derivative of 3702*u**7\/7 - 3*u**3 - 21*u**2 - 1804. What is the third derivative of t(v) wrt v?\nAnswer: 444240*v**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -10672 by 464.\nAnswer: -23","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 1441 + -1470 + (1 - -21)?\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 74546 is divided by 64.\nAnswer: 50","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*s - c - 294 = 0, -3*s - 709 = 2*s - 4*c. Let o = -726\/5 - s. Which is smaller: 20\/7 or o?\nAnswer: o","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is p in -2*p**3\/7 + 18*p**2\/7 - 54*p\/7 + 54\/7 = 0?\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*c = -p - 0 - 14, p = 4*c + 18. Let s = 15.083 - 0.083. What is the closest to 0 in 1, s, p?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 8904200 to the nearest integer?\nAnswer: 2984","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 2*b**3*g**3*u**2 + b**3*g**2 - 59*b*g**3*u + 2*g**3*u wrt u?\nAnswer: 4*b**3*g**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 60 and 4362.\nAnswer: 43620","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 130332550 to the power of 1\/3, to the nearest integer?\nAnswer: 507","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*b = 6*h + 12, 0 = 4*b + 140*h - 136*h + 20 for b.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 280 is divided by 14.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0.56, 2\/19, 0, -1\/3 in ascending order.\nAnswer: -1\/3, 0, 2\/19, 0.56","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is -92 + 18 + ((-4 - -3) + -2 + -4 - 1)?\nAnswer: -82","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7*b + 285 = 89. Does 28 divide b?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z be 4\/7*(-98)\/28. Suppose -4*o + 4 = 4*r + 16, -3*o + r - 13 = 0. Let b = -1 + 1. Sort o, b, z in decreasing order.\nAnswer: b, z, o","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(f) = f**2 - 5*f + 5. Let c be x(2). Let k be 32 + -12 - 2*c. Let d = k - -4. List the prime factors of d.\nAnswer: 2, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 797997693 and 8452?\nAnswer: 2113","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 60 and 1290.\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 2471198015?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -l**5 + 60*l**4 + 12065*l**3 - 4663*l - 524 wrt l.\nAnswer: -20*l**3 + 720*l**2 + 72390*l","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 1387880474?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let z(a) = -2*a - 36. Let t(k) be the first derivative of 19*k**2\/2 - 1693. What is z(t(l))?\nAnswer: -38*l - 36","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -7.02 - -11.93. Let g = 0 - -5.6. Let z = x - g. Round z to 1 decimal place.\nAnswer: -0.7","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 859547 is divided by 107439.\nAnswer: 35","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Sort -5, -3, 6269, -4.\nAnswer: -5, -4, -3, 6269","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:55 AM and 2:25 PM?\nAnswer: 570","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Add -12 and 191.496355.\nAnswer: 179.496355","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is -3 + 25003?\nAnswer: 25000","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let d(t) = 3*t**2 + 4*t + 8. Let c(r) = 13*r**2 + 11*r + 22. Let i(u) = -4*c(u) + 11*d(u). Let q(g) = -75*g**2. Give -21*i(n) + 5*q(n).\nAnswer: 24*n**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: How many seconds are there in 1.379308 days?\nAnswer: 119172.2112","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is (-4)\/6 - (-2)\/((-18)\/(-2337)) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 262888 + -155483. Is f prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2278927?\nAnswer: 7, 379, 859","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of ((-273)\/56)\/((-18)\/28) and 113\/10?\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) 1\/7 (b) -1.541 (c) -170\/7 (d) -2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 168 is divided by 137?\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let k(l) = -l**3 - 52*l**2 - 512*l - 76. Calculate k(-39).\nAnswer: 119","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let k(d) = 30*d + 64. What are the prime factors of k(5)?\nAnswer: 2, 107","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -544 - -2244. What is v rounded to the nearest one hundred?\nAnswer: 1700","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of (-343)\/(-21) - (-8)\/2 and (-4)\/22*(24 + -1).\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 993302 to the nearest 100000.\nAnswer: 1000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Divide 3 by 6278894.\nAnswer: 3\/6278894","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let c(d) = 1428*d + 2850. Let g be c(-2). Let x(b) = 1 + 0 - 2 - 3*b. Calculate x(g).\nAnswer: 17","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(z) = -2 - 1389*z**2 + 2 + 32107*z - 32107*z. Let p(u) = u. Give p(t(l)).\nAnswer: -1389*l**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is 16 a factor of 538074?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 u, 1 w, and 1 x when three letters picked without replacement from wuwvuvvwvx.\nAnswer: 1\/20","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Convert 113 (base 14) to base 15.\nAnswer: e3","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 89*t + 332 + 118 = 14*t for t.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 249962130 to the nearest integer?\nAnswer: 630","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) -0.4 (b) -3 (c) -5 (d) 21 (e) 0\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-42*v - 18*v - 138 + 137)*(-6*v + 5*v - v).\nAnswer: 120*v**2 + 2*v","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -497, -527, -571, -629?\nAnswer: -701","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let m be ((-28)\/56)\/(2\/(-36)). Let u = -4 + 4. Which is the second biggest value? (a) m (b) -0.2 (c) u\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q be 4\/7*1*(-7)\/(-2). Suppose 0 = -q*u + 7*u - 10. Solve -7*g - u*w = -3*g, 5*g = 4*w for g.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -198*o - 196*o + 788*o = -711*o - 37570 for o.\nAnswer: -34","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -6 + 2. Let l = 21 + -22.8. Let w = -1.9 - l. What is the closest to w in -1\/3, -2\/17, x?\nAnswer: -2\/17","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -635796\/11 + 978488350\/16929. Let b = i + 52828331\/21546. Let c = b - 2448. What is the common denominator of -27\/2 and c?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (c**12\/(c**(-2\/69)\/c)*c**(-9\/4)*c*c**(-7))**(2\/17) assuming c is positive.\nAnswer: c**(1319\/2346)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is -152806632 divided by 8844?\nAnswer: -17278","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let k(o) = -2*o + 3. Let t be k(-3). Suppose 0 = -0*s + s - 19. Let n be s\/3 + (-3)\/9. Calculate the greatest common factor of t and n.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 1191729 and 140082327?\nAnswer: 1540905597","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (0 + ((-2*sqrt(228)*2 + sqrt(228))*6)\/(sqrt(36)\/(sqrt(6)\/(-2*sqrt(2)))))**2.\nAnswer: 1539","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_test"},"subset":"dm_maths"} +{"text":"Question: Let c(w) = w**3 - 4*w**2 - 64*w - 21. Let k be c(-6). Suppose -4*o = -0*o. Suppose o = m + k*p - 212, 3*p = -2*m - 0*m + 433. Is m a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred millions digit of 682761354?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 31265?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (9\/5)\/(-3) - 132659\/(-265). What is the greatest common factor of 75 and q?\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 205434761 is divided by 3497?\nAnswer: 3496","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 11 = r + 3*c, -11 = -4*r + c + 72. Let d(u) = -r + 2*u - 7 + 6 - 3. What is the remainder when 5 is divided by d(13)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is (2 - -4 - (-12 - -19)) + 6900 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*i - 11 + 51 = 0. What is the tens digit of (-3)\/i*5 - (-969)\/4?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: -0.2877*3\nAnswer: -0.8631","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let f(c) = 532*c + 27154. Give f(-51).\nAnswer: 22","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is -187383 at most as big as -187389?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is 5404759621 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is 1233102231 + 1?\nAnswer: 1233102232","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Round 241.244 to the nearest 10.\nAnswer: 240","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 2553109 and 1939?\nAnswer: 277","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is 958668 a multiple of 12?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-6)\/(-7))\/(-5*(-8)\/140)?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -r = 2*r - 12. Factor -6*s**3 - 2*s**5 - 5*s - 9*s**4 + 3*s**r - 2*s**2 + 5*s.\nAnswer: -2*s**2*(s + 1)**3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 15\/8 and (9\/5)\/((-51)\/(-10)).\nAnswer: 136","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (1\/(-5))\/((-1)\/5). Let h be 3*(-154)\/168 - (-2)\/(-8). Which is the second biggest value? (a) -16 (b) z (c) h\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (n*n**(-4)*n**(-9))\/(n**1\/(n\/(n**(-6)*n))) assuming n is positive.\nAnswer: n**(-7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify y*y**(-5)\/y*y**2*y*y**(-2)*y\/(y**1*y)*y*(y\/y**(-2\/3)*y\/(y*y*y**(1\/9)*y))**(1\/9) assuming y is positive.\nAnswer: y**(-328\/81)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let v(i) = 3*i**3 + 126*i**2 - 2*i - 28. What is v(-42)?\nAnswer: 56","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let a(f) = -22462*f**3 + 8*f**2 + 2*f + 16. Let h be (-2)\/(24\/(-100)) + (-6)\/18. Let j be a(h). Round j to the nearest one hundred thousand.\nAnswer: -11500000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (-6 - -20 - 29189\/34)\/(6\/32). Which is smaller: y or -4503?\nAnswer: y","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 303040?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) -5 (b) 1 (c) 4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is -10 - 1022011?\nAnswer: -1022021","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 15.975864 months in millennia?\nAnswer: 0.001331322","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Does 128236 = 128265?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let h(i) = -7*i + 26. Calculate h(10).\nAnswer: -44","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (-1 - 7)*84\/(-16). Suppose -r + 8 = -z. What is the units digit of r?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 8 - 7. Let o be ((-6)\/15)\/(l\/(-50)). Suppose -10*u + 23*u - 273 = 0. Is o <= u?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 442 + -212. Let h = 213 - p. Which is the closest to 4? (a) 0.5 (b) h (c) -0.5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -r**3 + 2*r**3 - 3*r**3 + (r**3 - r**3 - 2*r**3)*(0 + 3 + 0) - r**3 - 4*r**3 - 3*r**3.\nAnswer: -16*r**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let k(a) be the third derivative of a**4\/6 - 10*a**3\/3 - a**2. Let p(q) = -2*q**3 + 200*q**2 - 198*q + 10. Let n be p(99). List the prime factors of k(n).\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -13, -5, -12, 3, 1.\nAnswer: -13, -12, -5, 1, 3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*r - 3*u = -346, 19*u - 168 = 2*r + 20*u. Let c = 802 + r. What is the hundreds digit of c?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is 4 - -29330?\nAnswer: 29334","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (z**31\/z)\/((z**(-3\/17)*z)\/z) assuming z is positive.\nAnswer: z**(513\/17)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_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: Let d = -618 + 2563. Is d prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -0.25 - -0.05. Sort -0.1, 3\/2, n.\nAnswer: n, -0.1, 3\/2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 36 divide 28551276?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 9 and 7472?\nAnswer: 67248","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Put 82, -2\/17, 3\/8, -4 in decreasing order.\nAnswer: 82, 3\/8, -2\/17, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Sort -2, -2\/5, -6, -0.31 in decreasing order.\nAnswer: -0.31, -2\/5, -2, -6","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let k(g) = 4*g + 89. Let u be k(17). Let j = u + -157. Solve 0 = -3*r - j*r - 12 for r.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 45 and 717105.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of -1925048, -1925026, -1925004, -1924982, -1924960, -1924938?\n\"Answer: 22*f - 1925070","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.5 + 4206?\nAnswer: 4205.5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -1443 - -3673. Is z a multiple of 10?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in -2\/19, 9, -1\/7, 2\/7, -49, 3, 1\/3?\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -5*x - 2*k + 8, 18*k - 14*k = -5*x + 16 for x.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from hhhkuahhkhkth. Give prob of picking 3 k.\nAnswer: 1\/286","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Sort 42, 5, 13, -56.\nAnswer: -56, 5, 13, 42","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 488909136?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in 2, -2439, -1\/4, -1, 1\/2, -44, 3?\nAnswer: -44","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 1186\/9 - 132. Is z <= 0.5?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (1 - 1 - 14)*(3 - 1 - 6)*(7 + 2 - 4)*(t - 3*t + 3*t)*(-4 + 6 - 14) to b + l*t and give b.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -11 - -17 - 16 - 10.\nAnswer: -20","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is -26*((-27)\/30)\/1*1710\/(-1026)?\nAnswer: -39","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -2639054, -2639063, -2639074, -2639087, -2639102?\nAnswer: -2639119","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Subtract -963.37 from 790.13.\nAnswer: 1753.5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Add 0.066 and -0.09.\nAnswer: -0.024","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -37\/4090 and -127\/850.\nAnswer: 347650","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*f = -z + 30, z + 3*f = -z + 8. Calculate the smallest common multiple of z and 9.\nAnswer: 90","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence jysk when four letters picked without replacement from {n: 1, p: 2, k: 3, s: 1, j: 8, y: 3}.\nAnswer: 1\/1020","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Do -1 and 8\/51 have different values?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Put together 1238611 and 726373.\nAnswer: 1964984","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -1498311 - 143720 = -241*j + 1067532. List the prime factors of j.\nAnswer: 11243","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 26\/5 of a centimeter in micrometers?\nAnswer: 52000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 2.9 + -3. Let q = -1.051 - -0.001. Let n = q - -0.05. Sort n, -2\/7, k in ascending order.\nAnswer: n, -2\/7, k","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(j) = -2*j**3 - 3*j**2 - 4*j + 3. Let b(v) = 5*v**3 + 7*v**2 + 9*v - 7. Give -4*b(a) - 9*o(a).\nAnswer: -2*a**3 - a**2 + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -p = -45*w + 43*w + 362, -5*w - 3*p + 938 = 0. What is the remainder when w is divided by 82?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 5.1 - -211. Let p = d + -216. What is the nearest to 1 in -2, -2\/11, p?\nAnswer: p","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out 1.57388 - 0.5.\nAnswer: 1.07388","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Does 54 divide 22121?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let l(p) = 2*p. Let k(t) = 3921*t + 3. Calculate k(l(i)).\nAnswer: 7842*i + 3","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is -81647456 - 2.2?\nAnswer: -81647458.2","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let u(j) be the second derivative of -3*j**5\/10 - j**2\/2 - 3*j. What is the first derivative of u(d) wrt d?\nAnswer: -18*d**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(i) = 3*i**2 - i - 2. Let k(u) = 2*u**2 - 2. Let n(h) = -4*b(h) + 5*k(h). Suppose n(j) = 0. What is j?\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -0.53 - -0.13. Let i be 2\/(-16)*(-4)\/(-2). Which is the closest to 1? (a) 0.2 (b) i (c) y\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 204456?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = r - 72 + 52. Suppose 0 = -15*b + 55 + r. Solve 4*j + b = -q - 10, -5 = 2*j + q for j.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 2132326 (base 9) in base 14?\nAnswer: 21a951","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -33, -67, -111, -165?\nAnswer: -229","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let b(z) = 312*z + 15291. What is b(-49)?\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 13*r - 20 = 8*r. Factor -20*d**r + 7*d + 50*d**3 + 13*d - 10*d**3 - 36*d**2 - 4 - 4*d**2 + 4*d**5.\nAnswer: 4*(d - 1)**5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: -7 + (-135)\/(-22) + 7\/154*11\nAnswer: -4\/11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 385 minutes before 4:36 AM?\nAnswer: 10:11 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*p - 15 = -3*p. Let r = 17 + p. Let j = r + 112. What is the highest common divisor of j and 31?\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -2\/15 in 4, 0.291, 8314?\nAnswer: 0.291","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -144 - -148. Let n(a) be the second derivative of -23\/6*a**o + 0 + 9\/5*a**5 + 2*a**2 + a**3 + 3*a. What is w in n(w) = 0?\nAnswer: -2\/9, 1\/2, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 1.9, 2, 6\/11, 0.2, -0.1261 in decreasing order.\nAnswer: 2, 1.9, 6\/11, 0.2, -0.1261","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1411204?\nAnswer: 2, 17, 20753","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: -28 + 34 - (7 + 1)\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (1500\/210)\/(-25)*(-280)\/200.\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -1.345*3.\nAnswer: -4.035","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Put 0.5, -19, -4, 1251, 12, 2, 3 in descending order.\nAnswer: 1251, 12, 3, 2, 0.5, -4, -19","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4420*v + 734*v = -140276 + 434054 for v.\nAnswer: 57","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (-1)\/(-2) - 5\/2. Is -4 equal to x?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 18.9 + -6. Let x = v - 19. Let q = x + 6. Is 1 less than q?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 2*k**4 + 7*k**2*u*y + k*u**2 - 5*u**2*y - 5*y + 1 wrt k?\nAnswer: 8*k**3 + 14*k*u*y + u**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let d(c) = -46*c**2 - c. Calculate d(-1).\nAnswer: -45","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8 = -5*k + 3*k. Suppose -3*j + j + k = 0. Solve -j*n = 5*i + 18, 4*i - 8*i = -4*n + 20 for i.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -5 + 16 + -10 - (5 + -1)?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -14395 - -14383. Put 2, -4, u, 1, -45 in decreasing order.\nAnswer: 2, 1, -4, u, -45","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 864 - 172. What are the prime factors of q?\nAnswer: 2, 173","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 1829 in 4, 21\/16, -3, -2\/11?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {g: 6, y: 6, u: 1, v: 1, r: 2, o: 2}. What is prob of picking 1 o and 1 y?\nAnswer: 4\/51","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 j and 2 w when three letters picked without replacement from ucswjjwce?\nAnswer: 1\/42","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Express -1 - 75*r**4 + 3 + 3*r**2 - r - 299*r**3 - 45*r**4 - 4*r**4 + 300*r**3 in the form j*r**3 + p*r**4 + i*r + z*r**2 + x and give j.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let h(k) = k**2 - k + 1. Let q(y) = -y**2 - 2*y - 8. Let t(c) = 2*h(c) + q(c). Let l be t(5). List the prime factors of (2 + l)\/(1\/30).\nAnswer: 2, 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.00006518874 rounded to 5 dps?\nAnswer: 0.00007","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -c - 4*n + 1878, 0 = -4*c - 19*n + 2601 + 4920. What is the lowest common multiple of c and 30?\nAnswer: 9330","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -183 by 9.\nAnswer: -61\/3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -0.9 + -1.1. Let i = -0.05293 - 4.94707. What is the closest to 1 in l, 9, i?\nAnswer: l","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 n, 1 b, 1 s, and 1 i when four letters picked without replacement from uuusunnubsissuuooui.\nAnswer: 4\/969","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.9371991ml in litres?\nAnswer: 0.0009371991","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -22*-7028.\nAnswer: 154616","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3*l + 2*l - 7*l)*(5*l - 2*l - 5*l) + (-3 + l + 3)*(-l + 2*l + 1 - 2*l) + 2*l**2 + 0*l**2 + 0*l**2.\nAnswer: 5*l**2 + l","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Product of -391 and 16.\nAnswer: -6256","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let r be 3\/15 + 392\/(-10). Let w be r\/(-4) + 7\/28. What is the greatest common factor of w and 25?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (1\/1 + 1)*1. Is o - (-18 + 3 + -3) a multiple of 7?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is one fifth of a litre in millilitres?\nAnswer: 200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 170.8609 centuries in decades?\nAnswer: 1708.609","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let w(d) be the third derivative of 1\/200*d**6 + 1\/8*d**4 + 0 + 0*d - 1\/25*d**5 + 3*d**2 - 1\/5*d**3. Factor w(y).\nAnswer: 3*(y - 2)*(y - 1)**2\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (c**2 + 6*c**2 - 3*c**2)*(-3*c - 2*c + 3*c).\nAnswer: -8*c**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 470155 times -30?\nAnswer: -14104650","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let b(r) = 5*r + 5. Suppose -5 = 4*v - 29. Let w(k) = -3*k - 5. Let j(h) = 21*h + 36. Let g(u) = 4*j(u) + 30*w(u). Give v*g(a) + 7*b(a).\nAnswer: -a - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Add 19.511011 and 0.06.\nAnswer: 19.571011","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose b - m + 5*m + 9 = 0, -5*b + 2*m + 43 = 0. Suppose 0 = -b*x + 2*x + 45. What is the units digit of x?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(q) = 3*q**3 + 4*q**2 + 4*q - 3. Let i(y) = -y**3 - y**2 - y. Suppose 27*s + 1 - 28 = 0. Give s*w(t) + 4*i(t).\nAnswer: -t**3 - 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -7 - -7.4. Sort 1\/5, 3\/7, a in descending order.\nAnswer: 3\/7, a, 1\/5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -15057745\/24 + 627540. Let k = -971\/8 + w. Let a = 295\/6 - 17\/3. What is the common denominator of a and k?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many nanoseconds are there in twenty-one eighths of a microsecond?\nAnswer: 2625","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let v be ((-2)\/(-4))\/(4 - 0). Let z = -131\/660 - -1\/60. Let d be 1\/(-10)*3*-5. Sort d, v, z.\nAnswer: z, v, d","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (76\/26)\/(984\/6396)?\nAnswer: 19","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the tenth root of 20918 to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:16 AM and 9:34 PM?\nAnswer: 618","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 230 take away -0.3?\nAnswer: 230.3","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Put -4, 37, -1, -20 in ascending order.\nAnswer: -20, -4, -1, 37","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let m be 123\/11 + (-2)\/11. Let p = -519 + 524. Find the second derivative of -20*f**p - f**2 - 3*f + m*f**5 + f**2 wrt f.\nAnswer: -180*f**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 2\/241 + 464\/2169. Suppose 0 = 3*o - 4 - 26. Let t be (12\/o)\/((-14)\/(-10)). What is the nearest to -2\/5 in t, 1\/5, p?\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.05505577 to 3 decimal places.\nAnswer: 0.055","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let w(p) = -659234*p. Let j(m) = 7*m**2 - 6*m. Calculate j(w(t)).\nAnswer: 3042126267292*t**2 + 3955404*t","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 2 in -173, 0, -1\/2?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -49.092 - -28.133. Let k = r - -21. Let p = -0.003 + k. Round p to 2 dps.\nAnswer: 0.04","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth root of 222649 to the nearest integer?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 120242 (base 6) in base 15?\nAnswer: 317b","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let m(q) = -2*q**2 + 3*q + 3. Let s(n) = 3*n**2 + 16 - 13 - 10 - 7*n. Determine -7*m(o) - 3*s(o).\nAnswer: 5*o**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 415 is divided by 109.\nAnswer: 88","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -4 + (8 - (-7 - -9 - 1)) + (170 - 96).\nAnswer: 77","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Find h such that h**5 - 168*h**4 + 6885*h**3 + 14450*h**2 = 0.\nAnswer: -2, 0, 85","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -893 + 895. Suppose -4*l = c*k - 206 - 26, 5*l - 128 = -k. Calculate the least common multiple of k and 156.\nAnswer: 1404","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(q) = 4*q - 3. Let a be y(2). Suppose a*d - 3*b - 120 = 0, -4*b = -4*d - 3*b + 89. What is the tens digit of d?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find s such that 5*s**3 - 322280*s**2 - 644575*s - 322290 = 0.\nAnswer: -1, 64458","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1290 is divided by 124?\nAnswer: 50","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 12 minutes before 9:57 PM?\nAnswer: 9:45 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in 24, -0.1, 2.6163, 4?\nAnswer: 2.6163","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 7427 and 56.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -0.3 - -0.2. Let w = 23.45 - 23. Let c = w - -1.55. Sort l, c, 5 in decreasing order.\nAnswer: 5, c, l","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -151.9369 - -151.29. Round s to two decimal places.\nAnswer: -0.65","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 2\/5? (a) -241 (b) 0.1 (c) -10\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Express -3 + 7 - 4*f**4 - 37755*f**2 - f + 37754*f**2 + f**3 in the form g*f**4 + d*f + k + y*f**2 + p*f**3 and give p.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*p - 5*l + 33, 4*p + 2*l = 9*p. Suppose 3*r + 12 = 2*v + v, p*v - 13 = -3*r. Solve 18 = v*i + 43 for i.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 50337200?\nAnswer: 2, 5, 61, 2063","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 12\/(-14) + ((-55854)\/(-42) - 11).\nAnswer: 2, 659","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(z) = -2*z - 3. Let x be i(-4). Let y = 4682 - 4679. Solve h + y = x for h.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 228*y - 906*y - 293*y - 19420 for y.\nAnswer: -20","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let i(o) = -o**3 + 6*o**2 - 3*o + 4. Let m be i(5). Let p be 2\/6 + m\/3. What is the third derivative of 0*c**p - 2*c**5 + 3*c**2 - 4*c**2 wrt c?\nAnswer: -120*c**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 53 - 46. Suppose 5*p + 10 = b*p. Suppose p*s - 30 = 7*y - 2*y, s + y = -4. What is the units digit of s?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -c - 4*c + 275. What is the tens digit of c?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*d = -0*d + 5 for d.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: (-1)\/((-12)\/(-3))*-4\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -28 - -32. Suppose -38 = 4*s - 122. Suppose -s + 5 = -8*v. Solve -5*r + 5 = -y*b, r - 4*b = v*r - 25 for r.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -11130\/13 - -856. Let o = -1.1 + 0.7. Sort -0.2, b, o in ascending order.\nAnswer: o, -0.2, b","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1921503495 to the power of 1\/2, to the nearest integer?\nAnswer: 43835","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let t(p) = -142*p - 591. Give t(-4).\nAnswer: -23","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 402 minutes after 3:53 AM?\nAnswer: 10:35 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let f(h) = 9*h - 139*h**2 + 138*h**2 + 0 - 6. Let n be f(8). Calculate the greatest common divisor of n and 16.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(l) = -64300*l**3 - l**2 + 5. Let n be h(-5). Let w = 3700950 - n. Let m = w + 11736530. What is m rounded to the nearest one million?\nAnswer: 7000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-5)\/((-35)\/21)*-3.\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 181857348.881 plus 39.7?\nAnswer: 181857388.581","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 4455527?\nAnswer: 4455527","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: 1215364 * 0.12\nAnswer: 145843.68","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is 21955 <= 21954?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 3531 and 99.\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of 28604, 28401, 28198, 27995?\n\"Answer: -203*y + 28807","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let a(r) = -r**2. Let p(j) be the second derivative of 0 - 1\/2*j**3 - 2*j + 0*j**2. What is a(p(i))?\nAnswer: -9*i**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -1\/2 in -2\/409, 3\/4, -2\/9?\nAnswer: -2\/9","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth biggest value in -6\/19, 11, -67, 2\/13, -1, -2\/11?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 393 or 394?\nAnswer: 393","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -3 + 3.1. Let v = -291.13 - 4.87. Let y = v + 293. Which is the smallest value? (a) t (b) -4 (c) y\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -40.04 - -15.31. Let o = -23 - q. Round o to 1 dp.\nAnswer: 1.7","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -16311 + 16311.06. What is the nearest to 3\/5 in 5\/18, m, 1\/3, -2\/7?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 92 + -87. Suppose 6511074 = l*b + 24761074. What is b rounded to the nearest 100000?\nAnswer: -3700000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 260045243 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_test"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 1600 and 80?\nAnswer: 80","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let q(v) = -v**2 - 21*v + 3. Let z be q(-21). Let r(c) be the first derivative of 0*c**4 + 2\/25*c**5 + 0*c - 2\/15*c**z + 0*c**2 - 1. Factor r(w).\nAnswer: 2*w**2*(w - 1)*(w + 1)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence yy when two letters picked without replacement from yyypypyyyypyyy.\nAnswer: 55\/91","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*d + 1 - 34 = -3*m + 12, 5*m + d = 97 for m.\nAnswer: 20","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is 9923 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Add -2217 and 1180.73821.\nAnswer: -1036.26179","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let h(b) = -622*b**3 - 2*b + 20. Let m be h(10). What is m rounded to the nearest 10000?\nAnswer: -620000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*y - 2364 = 3*w, 5*y - 3*w + 2955 = -2*w. Let u = -808 + 1664. Let n = y + u. Is n composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 786?\nAnswer: 2, 3, 131","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Determine x so that -2029*x + 2074*x + 26*x**3 - 85*x**2 - 13*x**3 + 5*x**4 + 22*x**3 = 0.\nAnswer: -9, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-80)\/440 - (-20)\/((-169400)\/15279)) + (-3)\/10.\nAnswer: -16\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (6 - (11 - -1)) + 1 + 14 - (-41 + 26).\nAnswer: 24","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {i: 2, j: 1, u: 1}. What is prob of picking 1 i and 1 j?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 7557 and 557413251.\nAnswer: 687","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let a(b) be the third derivative of -b**6\/24 - b**5\/10 + b**4\/4 - 8*b**3\/3 + 1333*b**2. Let g(r) = -r**3 - r**2 + r - 1. Give -a(q) + 6*g(q).\nAnswer: -q**3 + 10","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 373 minutes before 7:28 AM?\nAnswer: 1:15 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: (3 + 128\/(-96))*297\/(-15)\nAnswer: -33","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of -120, -118, -114, -108?\n\"Answer: y**2 - y - 120","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let x be 62\/3*(-1 - -16). Suppose w + 2*s = -x, -w - 930 = 2*w - s. What is w rounded to the nearest 100?\nAnswer: -300","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: 4\/35*42\/(-8)*(-154)\/(-231)\nAnswer: -2\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 441228 is divided by 383?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let l(s) be the third derivative of 36*s**2 + 1\/12*s**4 + 0 + s + 112\/3*s**3. Find the first derivative of l(i) wrt i.\nAnswer: 2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 1232 + -1185. Is 47 a factor of o?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 1205740 to the nearest integer?\nAnswer: 1098","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Express (v - 3 + 3)*(4*v**3 - 6*v**3 - 63*v**3) + 120*v - 120*v - 29*v**2 + 2*v**4 in the form n*v + r*v**3 + g*v**4 + h + o*v**2 and give o.\nAnswer: -29","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let w(z) = 6*z**2 + 2*z + 1. Let j(x) = -x**2 + 2*x - 2. Let n be j(2). What is the units digit of w(n)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in -1\/5, 0.1, 72, 3\/8?\nAnswer: 72","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*j - 1208*k = -2*j - 1192*k + 88, 3*j + 11 = -k - 1 for j.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let i(m) = -m - 5. Let y be i(-9). Suppose -t + 0*t = -2*f + 1, f = 2. Solve t*v + p = 3 + 5, 3*v - p - y = 0 for v.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2\/4 + (-23)\/(-2).\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of -391, -782, -1173, -1564, -1955, -2346?\n\"Answer: -391*q","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((y**19\/(y*y**(-2\/27)))\/(y**(1\/8)*y**(-6)))**16 assuming y is positive.\nAnswer: y**(10346\/27)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*r = -2*r + 92. Let k = -19 - r. Does 4 divide k?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2*q**2 + 2 + 1463*q + 2388*q - 410*q.\nAnswer: -2*q**2 + 3441*q + 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of 620, 717, 896, 1199, 1668?\n\"Answer: 7*p**3 - p**2 + 51*p + 563","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 8*i**4 + 5092*i**3 + 821580*i**2 + 3582176*i - 1997120 = 0.\nAnswer: -316, -5, 1\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Expand (8*o**2 - 7*o**2 - 3 + 5)*(7*o - 2*o - 3*o) + (-2*o + o + 0*o)*(o - o - o**2) - 5*o + 5*o + o**3 - 2*o + 2*o + 2*o**3.\nAnswer: 6*o**3 + 4*o","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 20.8 - 15. Let d = 6 - u. Let x = -0.20028 + d. Round x to 4 decimal places.\nAnswer: -0.0003","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5 = c - l, -5*c - 2*l = 17 + 1 for c.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) 0.693 (b) 1 (c) 0.1 (d) 0.2 (e) -4 (f) 2 (g) 1.19\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 354*q**5\/7 - 75752*q**4\/7 + 74546*q**3\/7 + 852*q**2\/7 = 0. Calculate q.\nAnswer: -2\/177, 0, 1, 213","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let m(p) = 79*p - 17. Let t(q) = 31*q - 3. Let n(v) = 63*v - 5. Let j(k) = -3*n(k) + 7*t(k). Let s(d) = 17*j(d) - 6*m(d). Let c(x) = -78*x. What is s(c(i))?\nAnswer: -156*i","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Round -154.280159 to two dps.\nAnswer: -154.28","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Put -1\/3, 2\/11, -4, -4.44318, -3\/4 in decreasing order.\nAnswer: 2\/11, -1\/3, -3\/4, -4, -4.44318","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let u(d) = -d**3 - 11*d**2 - 12*d - 14. Calculate u(-10).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 19 - 31. Let s = y - -14. Factor a**2 - 1 + s*a**2 - a**4 - 5*a - 3 + 2*a**3 + a.\nAnswer: -(a - 2)**2*(a + 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(c) = -15*c + 32. Let p(v) = 30*v - 56. What is -5*b(y) - 3*p(y)?\nAnswer: -15*y + 8","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve -9*a - 61 = 20 for a.\nAnswer: -9","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -3 in 0.04, -0.1, 3, 2?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -1 + -3 - ((-765)\/(-136) - 10).\nAnswer: 3\/8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 59\/71890130 and 103\/55300100.\nAnswer: 718901300","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -327\/5? (a) -1 (b) 3 (c) 0.5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -17 + 3 + 0 - (-35 - -29).\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of -9920, -9807, -9624, -9335, -8904, -8295?\n\"Answer: 6*s**3 - s**2 + 74*s - 9999","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 3*k**3 - k**3 + 3*k**3 - k**3.\nAnswer: 4*k**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 6256 and 230.\nAnswer: 46","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -3 - -3. Suppose l = 5*f + 28 - 158. Let y be 3\/3 + f\/(-22). Sort y, 0.5, 2 in increasing order.\nAnswer: y, 0.5, 2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d be 260 + -13 - 2\/(-2). Suppose -164 = -4*n + d. Find the second derivative of -6*h**3 + 103 - n + 4*h wrt h.\nAnswer: -36*h","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put together 1.5 and 41301.22645.\nAnswer: 41302.72645","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1, 1\/26, 0.0238.\nAnswer: -1, 0.0238, 1\/26","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (((-8)\/7)\/4)\/(-1). Is p at least 0.29?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -3660, -2822, -1966, -1086, -176?\nAnswer: 770","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (k\/k**(4\/3)*k*k**(-3\/11))\/(k\/(k\/(k\/k**(-2)))*k*k**(-10)) assuming k is positive.\nAnswer: k**(211\/33)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 1\/5? (a) 220 (b) 1\/43 (c) -4.2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 1312 and 27766512?\nAnswer: 656","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let r(u) be the first derivative of 98\/5*u**5 - 40*u - 12 - 86*u**3 + 124*u**2 - 112*u**4. Let r(l) = 0. What is l?\nAnswer: -1, 2\/7, 5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -6119*j**2 + 12183*j**2 - 6060*j**2.\nAnswer: 4*j**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 3 + 1 + 10 + -8 + 7.\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 11134 is divided by 1630?\nAnswer: 1354","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: 23*0.054\nAnswer: 1.242","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let n(s) be the third derivative of -1\/210*s**7 + 0*s**3 + 0 - 3\/20*s**5 + 1\/20*s**6 - 5*s**2 + 0*s**4 + 0*s. Solve n(o) = 0.\nAnswer: 0, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -15*x**2 + 576*x + 1317*x - 1893*x.\nAnswer: -15*x**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from ruuuuur. What is prob of sequence uuu?\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 15? (a) -51\/5 (b) 2 (c) -5 (d) 25 (e) 6\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -91 - -63. Let p = 7 + s. Let u = p + 22. Which is smaller: u or 1\/23?\nAnswer: 1\/23","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 34ad52 (base 15) in base 14?\nAnswer: 4975a9","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (-10)\/(-4) + 3\/6. Let l be ((-2)\/(-7))\/((-1)\/(-7)). Solve 0 = r*c + l*i + 8, -20 = 2*c + 5*i - 0 for c.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth biggest value in 0.12, 18, 6\/11, -2, -0.3, 0.5, 0.3281?\nAnswer: 0.12","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -5 and -88.\nAnswer: 440","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve -t - 2902 = -4*b - 2870, 4*t + 100 = 2*b for b.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 1253*r + 2043 + 7559 - 831 for r.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((((u\/(u\/(u*u**(-24)))*u)\/u)\/u)\/u)\/u**23*u\/u**(-7\/4)*u**(4\/11))**(-30) assuming u is positive.\nAnswer: u**(29625\/22)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -402 - -749. What are the prime factors of x?\nAnswer: 347","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 161*a + 399 = 28*a. What is the nearest to 0.1 in a, 3, 198?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*w = w + 205. Suppose -3*o - 32 = -4*r + 14, -3*r = o - w. Solve -35*p**4 + 12*p - 108*p**3 - 8 - r*p**4 + 84*p**4 + 68*p**2 = 0.\nAnswer: -1\/3, 1\/3, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (8*c - 3*c**2 - 8*c)*(-2 + 2 + 5*c) + (-2*c**3 + 3*c**3 + 0*c**3)*(4 - 4 + 1).\nAnswer: -14*c**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Round 1467019.2 to the nearest ten thousand.\nAnswer: 1470000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 111 minutes before 4:52 AM?\nAnswer: 3:01 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 3 + sqrt(16)\/sqrt(2) + -1 + (-3 + sqrt(162) + 0 + sqrt(162))**2 + 2.\nAnswer: -106*sqrt(2) + 661","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 37.2 + 0.8. Let t = -33.5 + h. What is t rounded to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) -0.4 (b) 1\/5 (c) -252984 (d) 318\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let t(w) = -2*w + 5. Let u = -648 + 643. Let l(h) = -6 + 19 - h - 8 - 2*h. Give u*t(j) + 4*l(j).\nAnswer: -2*j - 5","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -10621*l - 3 - 5 + 11 + 10632*l.\nAnswer: 11*l + 3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of 91, 145, 303, 625, 1171, 2001?\n\"Answer: 10*o**3 - 8*o**2 + 8*o + 81","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 37\/42 and (9\/(-27))\/(9\/3)*282\/(-136)?\nAnswer: 1428","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2 = 2*q + 2*k, -32 = -16*q - q - 2*q + 5*k + 21 for q.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 14 and 1834.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is eleven tenths of a meter in centimeters?\nAnswer: 110","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Add 11 and -55.6.\nAnswer: -44.6","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of 736, 1716, 2724, 3772, 4872, 6036, 7276?\n\"Answer: 2*d**3 + 2*d**2 + 960*d - 228","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Does 7 divide 168?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-5 - -7) + 4 + -2.\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 14742 a multiple of 14?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-176)\/(-12))\/22*-15.\nAnswer: -10","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*g - 32*q = -31*q - 643, -655 = -2*g + 3*q. What is the highest common divisor of g and 221?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 645?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*g - 1 - 7. Let c = 20 - g. Is c a multiple of 13?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -0.4 in -0.4, -1\/6, 3\/2, -466480?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let k(a) = -3*a - 37. Let p be k(-13). Let n be 19\/p + (-27)\/18. Solve -2*b + 0*g + 5*g = n, -4*g = -3*b - 12 for b.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is -2212012 + -1333211?\nAnswer: -10211223","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is 364446221 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is 54329\/4 at most 13582?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (-20 - 4)\/4*4\/(-3). Suppose n*o = -3*o + 55. Solve 0 = -4*u - 5*f + 2, o*u = 3*f + 25 - 4 for u.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 116 + 218. Let q = -333.6 + h. Which is the third biggest value? (a) -0.3 (b) -0.08 (c) q (d) 0.5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (9*d - 5*d - d)*(0 + 3 - 1) + 156 + 48*d - 156.\nAnswer: 54*d","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -49 - -104. Suppose -3*n + 16*g = 17*g - 38, g - 26 = -2*n. What is the remainder when y is divided by n?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -23681, -23585, -23423, -23195?\nAnswer: -22901","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Express (8 + 3*b + 0 - 6)*((1 - 2 - 1)*(4*b**2 - 7*b**2 - b**2) - 3*b + 3*b - b**2 + 3*b**2 + 4*b**2 - 30*b**2) as d*b**2 + i*b**3 + c*b + q and give d.\nAnswer: -32","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose u = 4*a - 4, 4*u + 12 = -2*a + 32. Sort -0.3, a, -2 in descending order.\nAnswer: a, -0.3, -2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of 30, 38, 30, 6, -34, -90, -162?\n\"Answer: -8*s**2 + 32*s + 6","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Round 1282.05068 to the nearest 10.\nAnswer: 1280","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1043 is divided by 42.\nAnswer: 35","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 48845124 to the nearest integer?\nAnswer: 6989","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_test"},"subset":"dm_maths"} +{"text":"Question: Is 36409 a multiple of 12?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from wbwkbbwwbbbzbkwk. What is prob of picking 1 z and 1 w?\nAnswer: 1\/24","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 7.98 + -4.98. Let t = -10 + 10. Sort h, t, 1\/2, 1\/6.\nAnswer: t, 1\/6, 1\/2, h","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 27934153973 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of b**2 - 22*b**2 - 40*b**4 + 2*b**2 wrt b.\nAnswer: -960*b","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 42\/1471 - -141679\/35304. Find the common denominator of 59\/24 and a.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*z = 1224*q - 1228*q + 24279, 5*q - z - 30354 = 0. List the prime factors of q.\nAnswer: 13, 467","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-4)\/(-6)*-1)\/(19\/((-6498)\/836))?\nAnswer: 3\/11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-39)\/(-104))\/(((-102)\/(-128))\/17)?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let r(c) = c**2 + 8*c - 44. Let v be (2\/4)\/(3 + 219\/(-72)). Let z be r(v). Solve 4*l + 20 = 0, -h + 5*l = z*l - 3 for h.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*y - 5*s = 0, 5*y + 2*s + 18 = 3*s for y.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in -4\/9, -36, 0.041, -0.4?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 0.03 + -1.53. Let k = o - -2. What is the biggest value in -2\/17, 3, k?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -20 - 11. Is p at least as big as 1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -k**2 - 101*k - 294 = 0.\nAnswer: -98, -3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Sort 4\/11, -1\/3, -0.4.\nAnswer: -0.4, -1\/3, 4\/11","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((((v\/v**(2\/7))\/v)**33)**(-28))**(-45) assuming v is positive.\nAnswer: v**(-11880)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 15*v**3 + 1374 + 7299*v - 14782*v + 7290*v wrt v.\nAnswer: 45*v**2 - 193","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -245 in -34914, 2, 1\/3, 0.2?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: 38 (base 10) to base 14\nAnswer: 2a","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 3, 11, 33, 75, 143, 243, 381?\nAnswer: 563","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 2\/3? (a) -0.06 (b) -0.4 (c) -49\/3 (d) 0\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 490692.03300433 - 490691.4. Let s = 0.633 - k. Round s to 6 decimal places.\nAnswer: -0.000004","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (16*d**2 - 8*d + 8*d)*(-1 + 3 + 0) + (3*d - 5*d + 4*d)*(-111 - 21*d + 111) in the form h + a*d**2 + g*d and give a.\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(120)\/(sqrt(132)\/sqrt(99)))\/(sqrt(16)\/(sqrt(8) - 4*sqrt(392))).\nAnswer: -81*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-1205)\/723*18*14\/(-6)?\nAnswer: 70","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -50.021 - -50. Round p to 2 decimal places.\nAnswer: -0.02","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 2\/(-26)*8\/8.\nAnswer: -1\/13","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: -4 (base 7) to base 15\nAnswer: -4","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Determine h so that -3*h**4 - 213*h**3 + 453*h**2 + 1077*h - 1314 = 0.\nAnswer: -73, -2, 1, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) -3 (b) -3\/5 (c) 11 (d) 0.1 (e) 1\/713\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 1204*m**2 - 413*m**2 - 382*m**2 - 406*m**2.\nAnswer: 3*m**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-2 + 55\/30)*-4)\/(318\/(-17649))?\nAnswer: -37","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 1 + 4 + 129\/(-27).\nAnswer: 2\/9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 48 and 504.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let p(z) = 12*z**2 - 2. Let h(u) = 392*u. Give p(h(q)).\nAnswer: 1843968*q**2 - 2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*t - 230. What is the units digit of t?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(j) = -11*j**3 - 9*j + 9. Let a(m) = 5*m**3 + 4*m - 4. Let p = -14 + 23. Give p*a(u) + 4*b(u).\nAnswer: u**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 1 in -2\/19, 2, -4, 0.17?\nAnswer: 0.17","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 132826?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -11*t + 6 + 5 = 0. Let d be (42\/(-28))\/(t\/(-2)). Solve -4*g + 3 + 1 = -d*z, z + 3*g = 3 for z.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(r) = 484*r - 276. Is c(4) a multiple of 10?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (3\/6)\/(2\/372). Let h = d - 40. Suppose 27*f + 18*f + 108 = 51*f. What is the remainder when h is divided by f?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) -6.3 (b) -0.2 (c) -0.7 (d) 1653\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let m(x) = x - 1. Let q(k) = 70*k - 42. Determine 42*m(o) - q(o).\nAnswer: -28*o","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0 + 1 - (4 + (3 - 6)).\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 58*a - 16*a - 219648 = -90*a. What is the highest common divisor of a and 65?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*r**3\/3 + 225086*r**2\/3 - 3600992*r\/3 + 4801152 = 0. Calculate r.\nAnswer: 8, 112527","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*f**4 - 28*f**3 - 78*f**2 + 1232*f + 3872.\nAnswer: 2*(f - 11)**2*(f + 4)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is -4 + 2501434?\nAnswer: 2501430","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (6\/(-9))\/(4\/(-36)). Let p be 6\/(-3*(-3)\/x). Suppose -221 = -p*h - 85. What is the greatest common factor of 85 and h?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -59*s + 333 + 291 = 19*s. Calculate the least common multiple of s and 1617.\nAnswer: 12936","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 10 - 19. Let h = s + 19. Is (14\/(-3))\/(h\/(-15)) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence uuzd when four letters picked without replacement from {u: 10, d: 2, q: 3, z: 5}?\nAnswer: 5\/646","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is -1563990 + 8?\nAnswer: -1563982","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 136 minutes after 3:26 PM?\nAnswer: 5:42 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let h(s) be the first derivative of 7*s - s**2 - 1\/4*s**4 - 4\/3*s**3 + 4. List the prime factors of h(-5).\nAnswer: 2, 3, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is 0 - -4987aa6?\nAnswer: 4987aa6","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is 79967 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -2 in 1\/3, -7, -4, -0.2?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 182339579 divided by -1063?\nAnswer: -171533","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in -4\/3, 0.4, 0.23, 9, 2\/3?\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*m - 252 = 3*l, 0*l + 2*m + 432 = -5*l. Let j = -91 - l. What is the tens digit of (j - 21\/7)\/((-4)\/54)?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n be 6\/(-33) + (-4)\/(-22). Suppose z - 132 = -4*f - n*z, 3*f = -z + 98. Suppose 2*v - 4*j = f, 4*j + 1 = -7. What are the prime factors of v?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0*a - 37 = -t + 4*a - 12, -8 = 11*a + 3 for t.\nAnswer: 21","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Express 5*b**4 + 4*b**3 - 138*b - 4*b**3 + 80 + 84 - 165 + 5*b**3 in the form p*b**3 + n + t*b**4 + g*b**2 + v*b and give v.\nAnswer: -138","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 775920?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let r(k) = -3*k + 6. Let g be ((-7)\/1)\/(6\/(-12) - -1). Calculate the remainder when r(g) is divided by 13.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 21173076?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -8 - -9. What is the nearest to w in -3\/5, -3, -0.4?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred millions digit of 398656725?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve 53*z - 237 - 18763 = -405*z + 21304 for z.\nAnswer: 88","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 36 and 9.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 30876.39nm in centimeters?\nAnswer: 0.003087639","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (0 + 0)\/(3 - 2). Suppose -4*j + f = -35, f = -4*j + 38 - 9. Solve -j = -d*i - 4*i for i.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (-4 - 36\/(-8))*1*8. Let m(k) be the second derivative of -1\/12*k**l + 1\/3*k**3 + 0 + 2*k + 3\/2*k**2. Factor m(i).\nAnswer: -(i - 3)*(i + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -2400 - -2400.3. Let u = 0.02 - -0.38. Let z = w - u. Which is the third smallest value? (a) 3 (b) 4 (c) z\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: -156 (base 7) to base 14\nAnswer: -66","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -17 + 10 + -38 - -99.\nAnswer: 54","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let y(p) be the third derivative of p**4\/8 - 9*p**3\/2 + 37*p**2 - 6. Suppose 4*c = 2*c + 22. Calculate the least common multiple of 12 and y(c).\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:58 AM and 3:39 PM?\nAnswer: 401","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 492 minutes after 3:46 AM?\nAnswer: 11:58 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of -1155487, -2312029, -3468573, -4625119?\n\"Answer: -b**2 - 1156539*b + 1053","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 558 minutes before 10:11 AM?\nAnswer: 12:53 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 34 and 10778.\nAnswer: 34","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 192867 and 159?\nAnswer: 159","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is 70 a factor of 29857?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-2*sqrt(119)*2)\/(((sqrt(14)\/sqrt(2) - sqrt(7)) + sqrt(7))*-4))**2*5 + -4 + 4.\nAnswer: 85","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let v(h) = -2812*h**2 + 5*h - 4710. Let x(j) = -2802*j**2 + 6*j - 4712. Let w(f) = -6*v(f) + 5*x(f). What is the first derivative of w(a) wrt a?\nAnswer: 5724*a","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: -8 (base 13) to base 2\nAnswer: -1000","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*f + 0*l + 4*l = 0, 5*f = 3*l + 14. Suppose 5*m - 20 = -5*u, -5*u = -f*m - 14 - 6. Let x be 19*(-1 - -2)*1. Solve m = 5*a - 6 - x for a.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -111011010100000011 (base 2) in base 5?\nAnswer: -30233242","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-10)\/57)\/((-116)\/(21576\/155)).\nAnswer: 4\/19","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let n be 3*(3\/(-9) + 0). Let o = n + 1. Which is bigger: 1 or o?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(o) = -14 + 0 + 1 - o - 3. Let h be t(-17). What is the greatest common factor of 5 and h?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 1249589?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in -4\/61, 3\/5, 193, -2\/7?\nAnswer: -2\/7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let v(g) = g**3 - 29*g**2 + 74*g + 720. Is 40 a factor of v(42)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:27 AM and 2:17 PM?\nAnswer: 170","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 3306770 and 20.\nAnswer: 6613540","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 70 + -50. Suppose 0 = -5*z - 5*i + j, 54 - 8 = 4*z - 2*i. What are the prime factors of z?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 72*d - 73*d - 6. Sort d, 0.2, 3 in decreasing order.\nAnswer: 3, 0.2, d","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 0.0236 and 2.9.\nAnswer: 0.06844","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (-2 + -3)*4\/5. Let d be (-5)\/25 - 93\/(-315). What is the nearest to 0.2 in d, g, 2?\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth smallest value in 2, 1\/11, 10, -4\/5, 5.01269, -2?\nAnswer: 10","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 10713547?\nAnswer: 13, 149, 5531","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is -1.5 less than -18547692862?\nAnswer: -18547692860.5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Round -18.793497 to two dps.\nAnswer: -18.79","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*f = -2*j, -3*j = j - 2*f. Let w = j + -5. Let x = 12 + w. Calculate the remainder when 13 is divided by x.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*m, -3*m + m = -3*u + 18. Solve -x = r - 6, x - 2*r + u + 3 = 0 for x.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 20\/7 less than or equal to 37?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 2024?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: How many millennia are there in 37359.85 decades?\nAnswer: 373.5985","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 15\/(-7)*37296\/(-2220).\nAnswer: 36","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1 divided by 236.\nAnswer: 1\/236","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((((t*t*t**(-1)*t*t)\/t)\/t**(-7))\/((t*t\/(t*t**7)*t)\/t**(-3\/8)))\/((t\/(t**(-1\/2)*t))**33\/(t\/(t*t**1\/t)*t)**(-11)) assuming t is positive.\nAnswer: t**(-111\/8)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -1 + 1. Calculate the remainder when 39 is divided by k + ((-18)\/(-1) - 4).\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -16 less than or equal to -122\/7?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -6304 divided by -6304.\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 f, 1 r, and 1 l when four letters picked without replacement from {r: 1, l: 1, f: 3}?\nAnswer: 3\/5","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let d(n) = -2*n**3 - 6*n**2 - 6*n + 6. Let r = -57 - -40. Let a(o) = 20*o**2 - 3*o**2 - 14 - 3 + 10*o**3 + 17*o - 4*o**3. Give r*d(y) - 6*a(y).\nAnswer: -2*y**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let h(j) = -j**3 - 11*j**2 + 9*j - 28. Suppose 2*p + p - 24 = 0. What is the smallest common multiple of h(-12) and p?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 642 and 372.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 65.73 + -66.73. Put -0.066, -3, 1\/2, t, -1\/2 in increasing order.\nAnswer: -3, t, -1\/2, -0.066, 1\/2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out 6483.4 - -1.421390846.\nAnswer: 6484.821390846","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let d(w) = w**3 + 14*w**2 - 13*w + 11. Suppose -58*l = -50*l + 120. What is d(l)?\nAnswer: -19","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 4293.79138789 less than 3?\nAnswer: -4290.79138789","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve 10*i + 76 = 9*r, -392*r + 391*r = -3*i - 16 for r.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*i - 1 = -13. Suppose s = i*s - 14. Suppose 2*x - m = 6, 4*m = 3*x + 1 - 15. Solve 0 = x*o - 1 - s for o.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 37\/((-11914)\/92)*7?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let j(o) be the third derivative of -o**4\/24 + o**2. Let i(s) be the second derivative of 0*s**2 - 9*s + 0*s**3 + 0 - 1\/12*s**4. Determine j(i(l)).\nAnswer: l**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -358 + 353. Let h be (0\/(-3) + 0)\/(12\/6). Put f, -15, 5, h in increasing order.\nAnswer: -15, f, h, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.18 take away 0.12?\nAnswer: 0.06","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let j(v) be the third derivative of v**7\/630 - 5*v**4\/24 + 7*v**2. Let d(z) be the second derivative of j(z). Factor d(i).\nAnswer: 4*i**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 460830810 a multiple of 155?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 119 = 3*g + 122. Is 1\/28 greater than g?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 9*h + 8*h = 0. Let r be (-1 + 2)*(2 + -3). Sort r, h, 2.\nAnswer: r, h, 2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -461950.3*-0.4.\nAnswer: 184780.12","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Expand (126 - 270 + 130 + 2*b)*(-2*b**2 + 2 - 2).\nAnswer: -4*b**3 + 28*b**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from dlldlllllddd. Give prob of picking 1 l and 3 d.\nAnswer: 14\/99","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let b(x) = 11*x**2 - 372*x + 1839. Give b(6).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*i**2 + 3*i**3 - 2*i**2)*(-1 - 1 - 1).\nAnswer: -9*i**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let u(c) = -16*c**2 - 22*c**2 + 5*c**2. Let a(v) = v - 2. Let t(x) = -1. Let f(w) = -2*a(w) + 4*t(w). Determine f(u(l)).\nAnswer: 66*l**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Sort 4, -9, -0.059, 8\/341, -2\/17 in increasing order.\nAnswer: -9, -2\/17, -0.059, 8\/341, 4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of -74, -148, -220, -290?\n\"Answer: g**2 - 77*g + 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 33618 to the nearest integer?\nAnswer: 32","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 7824?\nAnswer: 2, 3, 163","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -38 + 42. Solve -3*h - 1 = d*n, 3*n + 3*h + 2*h = 13 for n.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(v) = 20*v**2 - 49*v - 1049. Determine x(16).\nAnswer: 3287","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-6*((1 + sqrt(2299) - sqrt(2299)) + -2))**2.\nAnswer: 36","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 i and 1 y when two letters picked without replacement from {y: 8, j: 1, k: 1, h: 1, q: 1, i: 4}.\nAnswer: 4\/15","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 823990 divided by 37?\nAnswer: 22270","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -13\/40 and -119\/40.\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -0.7 in 4, -2\/25675, -4?\nAnswer: -2\/25675","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is 367 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 20*c**3*u**2*y + c**3*y**2 + 3*c**2*y - 18*c*u**2*y + 2*u**2*y**2 - 5*u*y**2 wrt u.\nAnswer: 40*c**3*y - 36*c*y + 4*y**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*d + 11 = 3*n, -2*d - 3*n - 24 = -7*n for d.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let w(b) = 2*b. Let m be w(2). Let o = 63 - 43. Let l(a) = -a**2 + 3*a + 4. Let r be l(-1). Solve -4*u = -m*v, -u = -r*v - 5*v + o for v.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 3 + 1 + 1 - 2.\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Does 22 divide 2128774232?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Put 10065, 0, 1, 2 in increasing order.\nAnswer: 0, 1, 2, 10065","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Divide 2052 by 342.\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -h**4 + 144862*h**3 + 660779*h**2?\nAnswer: -24*h + 869172","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Express -2*u**3 + 2*u**3 - 4*u**4 + (u - 4*u - 2*u)*(-u**3 + u**3 - u**3) in the form n*u**4 + m + f*u + d*u**3 + y*u**2 and give n.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 12\/25 of a meter in millimeters?\nAnswer: 480","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence sa when two letters picked without replacement from aamamolmaaso.\nAnswer: 5\/132","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*d - 48 + 24 = 22*d for d.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -0.05? (a) -2\/11 (b) -2 (c) 0 (d) 1\/5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 6455, 15885, 25315?\nAnswer: 34745","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is -11011100 + 11?\nAnswer: -11011001","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -f + 3*w = f - 87, -5*f - 4*w = -160. Calculate the least common multiple of 3\/(9\/(-3)) + 11 and f.\nAnswer: 180","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 226.5 - 226. Which is the nearest to -2? (a) o (b) -1\/4 (c) -1.1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose f = 3*a - 94, 3*a - 138 = -a - 5*f. Calculate the remainder when a is divided by (-3)\/(-2)*44\/6.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-4*1*sqrt(204) - (sqrt(204) + 2*sqrt(204)*1))\/(sqrt(1728)*2*-2).\nAnswer: 7*sqrt(17)\/48","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Put 0, 4, -4, 1, 3 in decreasing order.\nAnswer: 4, 3, 1, 0, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is 159736844045 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 170977?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of 12, 30, 68, 132, 228, 362, 540?\n\"Answer: h**3 + 4*h**2 - h + 8","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let -2*p**2\/9 - 63328*p\/3 + 189986\/9 = 0. What is p?\nAnswer: -94993, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 98.4 + -45.8. Let t = -57.6 + m. Put t, 0.4, -2.25, -0.4 in increasing order.\nAnswer: t, -2.25, -0.4, 0.4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.5154118 millennia in decades?\nAnswer: 51.54118","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let d(c) = -c**2 - c + 1. Let m(k) = -k**2 - 2*k - 5. Let q(u) = -5*u + 4. Let l be q(1). Let b(v) = l*m(v) - 2*d(v). Give b(-3).\nAnswer: 18","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 3741 divided by 78?\nAnswer: 1247\/26","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 1550 and 62.\nAnswer: 62","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-20984*o - 42129*o - 49747*o - 42191*o + 59297*o - 47833*o)*(0*o**2 - 4*o**2 + 5*o**2) to q*o + v*o**2 + f + a*o**3 and give a.\nAnswer: -143587","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let i(z) = -z**3 - 5*z**2 - 2*z + 5. Let b be i(-4). Suppose -5*s + 4*x - 16 = -8*s, 4 = -3*s + x. Is s at least b?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (-170)\/(-7) + (270\/35 - 8). What is the greatest common divisor of 744 and l?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from pkppk. What is prob of sequence kppk?\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let h(m) = 78*m**2 - 510*m - 245. What is h(7)?\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Sort 646, 16, 0, -2.\nAnswer: -2, 0, 16, 646","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -5.1969 + 5.2. What is d rounded to three dps?\nAnswer: 0.003","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(o) = -o**3 - 71*o**2 + 8*o - 24. What is a(-71)?\nAnswer: -592","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 520.4 + -520. What is the nearest to 0 in -0.05, -7, 0.5, s?\nAnswer: -0.05","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(r) = -6*r**2 - 3*r + 3. Let m(f) = -13*f**2 - 7*f + 6. What is -9*i(l) + 4*m(l)?\nAnswer: 2*l**2 - l - 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Determine j, given that 5*j**2\/4 + 420665*j - 1682665\/4 = 0.\nAnswer: -336533, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of -956, -3636, -7934, -13748, -20976, -29516?\n\"Answer: 17*w**3 - 911*w**2 - 66*w + 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let q(u) = 2*u**2 + 4*u + 4. Let m be (-4)\/(-10) - (-102)\/(-30). Let z(h) = 2*h - 16. What is the remainder when z(17) is divided by q(m)?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 2040?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve -6*s - 6 = -18 for s.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -793\/24 - -809\/24. Determine p so that 2\/3*p**3 - 4*p + 0 + i*p**2 = 0.\nAnswer: -3, 0, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -29311.04 - -29311. What is the closest to -1 in -49, 0.5, a?\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -28*g + 21*g = -21*g + 756. Calculate the least common multiple of 3708 and g.\nAnswer: 11124","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2\/3, 9, -9, -0.4, 1 in decreasing order.\nAnswer: 9, 1, 2\/3, -0.4, -9","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 522087 or 522100?\nAnswer: 522087","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of -14909, -29817, -44725, -59633, -74541, -89449?\n\"Answer: -14908*b - 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 4 not equal to 65574?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*k - 495 = -20*k. What is the lowest common multiple of 24 and k?\nAnswer: 264","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -6834 by 3417.\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1729 divided by 7.\nAnswer: 247","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-4*l**4 + 3*l**4 + 0*l**4)*((-2 + 2 + 1)*(2 - 3 + 2) + (2968 + 2092 - 1100)*(-1 + 5 + 2)) to y*l**2 + a*l + k*l**3 + g*l**4 + w and give g.\nAnswer: -23761","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Convert 102321101030 (base 4) to base 8.\nAnswer: 22712114","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from txtttgxgj. What is prob of sequence tjt?\nAnswer: 1\/42","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: How many years are there in 25\/4 of a century?\nAnswer: 625","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 553471 a multiple of 1512?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 2295 is divided by 73?\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Convert 1210 (base 9) to base 8.\nAnswer: 1604","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {o: 2, z: 3, d: 1, n: 1}. What is prob of sequence onzd?\nAnswer: 1\/140","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let z(k) = k**3 - 2*k**2 + 2*k - 2. Let h be z(2). Which is the second smallest value? (a) -16 (b) 0.3 (c) -4 (d) h\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 10648\/(-1452)*(12\/44)\/(15\/(-10))?\nAnswer: 4\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) 0 (b) -4 (c) 0.5 (d) 5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Add 6 and -96702833346.\nAnswer: -96702833340","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let t be 28*(668\/(-56) - -12). Solve -t*j - 2*j = w + 12, 0 = -5*w for j.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -1713, -2087, -2463, -2841, -3221, -3603?\nAnswer: -3987","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is -27269515 at most -27269515?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let d(y) = -6*y - 3. Let p(z) = -3*z - 1. Suppose x - 2*m - 907 = 4*x, -5*x = -2*m + 1501. Let s = x - -306. Calculate s*p(o) - 3*d(o).\nAnswer: 3*o + 4","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 1170537638?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -250 - -255. What is the second smallest value in 3, c, -2\/9?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*o - 9 = 6. Let x(w) = w + 12. Let a be x(0). Suppose -3*i = 3 + a. Put 4, i, o in ascending order.\nAnswer: i, 4, o","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 1? (a) -0.5 (b) 8\/37 (c) -10.3 (d) 5 (e) 2\/3\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: 558812150668 - 0\nAnswer: 558812150668","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of (-148)\/3552 + (-2)\/(-608) and 23\/192.\nAnswer: 3648","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -16*k - 12 = -28 for k.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_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: How many minutes are there between 9:51 AM and 6:18 PM?\nAnswer: 507","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 21\/28*44\/(-55).\nAnswer: -3\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 45 - -19. Let o = 36 + -19. Let g = o + -9. Calculate the highest common divisor of g and u.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*z = -z - 6. Let x(r) be the first derivative of 2 + 1 + z*r**2 - 5*r**2 + r + 3*r**2. Differentiate x(y) wrt y.\nAnswer: 2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o be ((-4)\/(-10))\/((-2)\/(-10)). Suppose -10*f = o*f - 1140. Suppose q - 4*y - f = 0, -7*y - 98 = -q - 2*y. What is the tens digit of q?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*r + 2*v + 7 = -8, 0 = -5*r + 5*v + 25. Let d = 31 + -43. Let x be 330\/9*d\/(-8). Calculate the greatest common divisor of r and x.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (o**(1\/3))**48\/((o\/(o**10*o))\/o**(2\/33)) assuming o is positive.\nAnswer: o**(860\/33)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -5*p - 0*p + 25, 0 = -b - 3*p + 20. Suppose -1 = x - 3. Solve 7 - x = -b*a for a.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(x) = 9*x**2 + 8*x. Suppose 2*r - p - 11 = -0*p, 4*p + 29 = 5*r. Let c(l) = 5*l**2 + 4*l. Let b(d) = r*c(d) - 3*u(d). Factor b(o).\nAnswer: -2*o*(o + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of -598204, -598207, -598210?\n\"Answer: -3*y - 598201","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 8338302 and 10.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (1 - -1) + -2 + 2?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is -2 + -83132?\nAnswer: -83134","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -1062824*-5.\nAnswer: 5314120","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (a\/a**(-1))**(-4\/3)\/((a*(a\/(((a*a**(-5))\/a)\/a))\/a*a)\/a*a*((a\/((a*a*(a*(a\/(a*a**(-8)*a))\/a)\/a)\/a))\/a)\/a*a) assuming a is positive.\nAnswer: a**(-11\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let j(r) = 6*r - 1. Suppose 4*l - 7*l + 3 = 0. Let g be j(l). Let b(z) = 2*z + 1. Let v(t) = -5*t - 2. Let d(n) = 7*b(n) + 3*v(n). What is d(g)?\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 4292 and 277562567.\nAnswer: 1073","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Product of -2 and 1765146.\nAnswer: -3530292","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let r(z) = 32*z**2 + 22*z - 646. Let u(v) = v**3 - 98*v**2 - 68*v + 1937. Let t(a) = 7*r(a) + 2*u(a). Factor t(c).\nAnswer: 2*(c - 4)*(c + 9)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 57408265 is divided by 1240.\nAnswer: 1225","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -102 + 111. Suppose v*x + 22 = -5. Which is the closest to -22? (a) 1 (b) x (c) 3\/8\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 22020 (base 5) to base 11.\nAnswer: 1153","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of 458870, 917767, 1376664, 1835561, 2294458?\n\"Answer: 458897*a - 27","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand (23*q + 1545 - 1545)*(2 - 2 + q).\nAnswer: 23*q**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let g(c) = -188*c - 4500. Calculate g(-24).\nAnswer: 12","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from baviia. What is prob of picking 1 b and 1 i?\nAnswer: 2\/15","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve 491*d + 4172 - 3351 - 14078 = 0 for d.\nAnswer: 27","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 0.124 - 0.058. Round j to 2 dps.\nAnswer: 0.07","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(f) = 13*f - 2. Let q be z(5). Let p = 100260 - 100246. What is the highest common factor of p and q?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 1 - -14. Suppose -165 - 12 = -3*q. Calculate the remainder when q is divided by v.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -50\/1093, 13, -53 in decreasing order.\nAnswer: 13, -50\/1093, -53","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -858113651 divided by 397091.\nAnswer: -2161","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Put -0.06, -2, 1\/3, 42 in descending order.\nAnswer: 42, 1\/3, -0.06, -2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 4 + -2. Suppose 2*a + 9 = 5*i, -4*i + 21 = -v*a + 5*a. Let b(j) = -j**3 - 10*j**2 + 5. Let g be b(-10). Solve -4*t - g - 3 = 4*n, -2*n = i*t + 4 for t.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(u) be the second derivative of u**9\/60480 - u**4 - 13*u. Let n(x) be the third derivative of j(x). Factor n(s).\nAnswer: s**4\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*s + 0 + 0)*(2*s - 3 + 3)*(-7 + 19 + 7 + (0 - 1 + 0)*(-5 + 0 + 3)).\nAnswer: -84*s**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -15 = -3*t - 2*w, 0 = t - 4*w + w + 6. Suppose 5*a - t*a = 10. Is 2 a factor of a?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (8 + -14 + -2 + 7 - 0) + 0?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -x + 2*x - 2 = 0. Let p = -1434 + 1448. What is the lowest common multiple of p and x?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 627?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let q(h) = 3*h. Let b be q(-6). Let v = -14 - b. Let f(g) = 2*g**2 - g**2 - v + 0*g**2 + 3 - 2*g + g**3. Calculate f(2).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -5 + 4.8. Let g = -54 + 58. What is the nearest to -3 in h, -5, g?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify k**(-7)*k**(-1\/19)*(k*k**19\/k*k)\/(k*k**3*k*k) assuming k is positive.\nAnswer: k**(132\/19)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 4*((-204)\/(-20) + -10)?\nAnswer: 4\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-2*-1*sqrt(80) + (sqrt(80) + 2)*3)**2 - 4*(sqrt(80) + sqrt(80)*5)*4.\nAnswer: -144*sqrt(5) + 2036","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 24 + -19. Suppose d*h - 258 = 2*h. What is 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 -15 (base 13) in base 4?\nAnswer: -102","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -46 - -45. Put 0.4, z, -2\/3, -0.4 in decreasing order.\nAnswer: 0.4, -0.4, -2\/3, z","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (9\/6)\/(2\/8). Suppose -y + 0*y + a = 0. Suppose -20 = -4*z, -5*d - z + 6*z = -5. Is y at most d?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -2345655 divided by 469131.\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Divide 29 by -11.\nAnswer: -29\/11","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -6.9 - 1.1. Sort 0.4, -3, v in increasing order.\nAnswer: v, -3, 0.4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 10700 = 10*q + 10770 for q.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let k(o) = -2*o + 20. Let q be (-8*(1 - 4))\/1. Suppose 0 = -6*x + q + 12. Let a be k(x). Solve 0 = 3*u - 5 + a for u.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 5*y - 2*m + 11, 6*m = -5*y + 11*m - 20 for y.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 11 = f + 2*o, 4*f + 54 = 4*o + 46 - 8 for f.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 50790 and 780.\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Round -32992052100 to the nearest 1000000.\nAnswer: -32992000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:19 PM and 4:30 PM?\nAnswer: 251","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 56 and 206554?\nAnswer: 5783512","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 5\/24 of a week in hours?\nAnswer: 35","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 348256659.\nAnswer: 3, 116085553","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Put 0, -7, 197, 6, -1 in decreasing order.\nAnswer: 197, 6, 0, -1, -7","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -65 or 61361?\nAnswer: -65","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (5 + sqrt(363)*-2 + -2 + sqrt(363) + 4*(sqrt(363) + (sqrt(363) - -2*sqrt(363))) + -3)**2.\nAnswer: 81675","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 4.7? (a) 72 (b) -5 (c) -2\/5 (d) 0.3 (e) -1\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 2697032951?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -98 + -48. Let q = k + 1459\/10. Which is the closest to -1? (a) 0.5 (b) 1 (c) q\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 26454189?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -0.13? (a) 272 (b) 0.4 (c) -0.1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (((-224)\/(-400))\/7)\/(1\/5).\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let m(r) = 9*r - 83. Let z be m(15). What is the greatest common divisor of 4 and z?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (3*s**2 - 4*s**2 + 3*s**2)*(18*s - 30*s**2 - 11*s**2 - 22*s) to z*s**2 + c*s**4 + l + r*s**3 + t*s and give t.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 105 and 78855.\nAnswer: 105","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let f(n) = -n**2 + 5*n - 1. Let j(s) = 3*s**2 - 11*s + 3. What is -5*f(h) - 2*j(h)?\nAnswer: -h**2 - 3*h - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 869.015 + -872. Let d = 0.205 + b. Let s = -2.7799678 - d. Round s to five decimal places.\nAnswer: 0.00003","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 338232\/47 smaller than 7197?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-74)\/185)\/(4\/5)?\nAnswer: -1\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*m - 7*m = -110. Suppose 57*s - m*s = 8196. Suppose 4*v = 5*h - 0*h - 4082, -4*v + s = 5*h. Is h a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(m) = 296*m. Let x(c) = -2*c. What is x(w(z))?\nAnswer: -592*z","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Express -2*d**2 - 9*d**2 - 1 - 10*d**2 as s + a*d + f*d**2 and give f.\nAnswer: -21","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: 1649548 times 32\nAnswer: 52785536","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let s(b) = -b**2 + 3*b - 3. Let z be s(-8). Let r = 49 + z. Let t = -12 - r. What is the units digit of t?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (z - 7 + 3 + z)*(1 - 1 - 1)*(-5 + 6 + 21).\nAnswer: -44*z + 88","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*a = 2*c + 2, 2*a - 21*c + 7 = -24*c for a.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let o(l) = l**2 + 0*l + 5 + 5*l - 5 + 4. Let h be o(-4). Differentiate -1 + h*b**4 + 3*b**4 - 2 with respect to b.\nAnswer: 12*b**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 500*l**2*x**2 - 1752007*l**2 - 536*l*x**5 + 12*l*x + 17*x**2 wrt x.\nAnswer: 1000*l**2 - 10720*l*x**3 + 34","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 217 minutes before 7:01 PM?\nAnswer: 3:24 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6 = 2*w - 14. Let f = -139 - -195. Suppose -3*a + 4*g = a - f, -2*a - 3*g + 8 = 0. What is the greatest common divisor of w and a?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 4 + 6 + 9*y + 7*y**2 - 10 wrt y.\nAnswer: 14","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose f + 0*f = 2. Let g be (-6)\/12 - (-10)\/4. Suppose 4 = y - g*v, y - 8 = 2*y + v. Sort y, f, -8, -1.\nAnswer: -8, y, -1, f","meta":{"dup_signals":{},"source":"comparison__sort_composed_test"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 571039662 to the nearest integer?\nAnswer: 830","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*h = -17 + 251. Suppose -5*a + h + 32 = 0. Is a prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -0.0633 + 0.018. What is q rounded to 3 dps?\nAnswer: -0.045","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (1\/(-9))\/(17\/(-102))*(-6)\/86.\nAnswer: -2\/43","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Express ((p - 2*p - p)*(2*p - 1 + 1) + 3*p**2 - 3*p**2 + 3*p**2)*(-p**2 + 4*p**2 - 5*p**2) in the form k*p**2 + u*p + s*p**4 + x*p**3 + z and give k.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let u(p) = -632*p + 1. Let s(q) = 2*q + 412. Calculate s(u(i)).\nAnswer: -1264*i + 414","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from oyacyifoiyoayoa. What is prob of sequence faa?\nAnswer: 1\/455","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is 0 >= 1\/169?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Divide -3348224 by 1276.\nAnswer: -2624","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let k(r) = 6*r + 22. Let h be k(0). Suppose 9*z + 34*z**4 + 4*z**5 - 21*z**4 - 3*z**5 - 21*z**4 - 24*z**2 + h*z**3 = 0. What is z?\nAnswer: 0, 1, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 489 = -0*v - 3*v. Let m = -165 - v. Is 0.64 at least m?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -10*l + 6*l + 136. Suppose -l*j + 132 = -30*j. Let b = j - -22. What is the remainder when b is divided by 14?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -6 + 5.6. Let w = -0.45 + -0.05. Which is the second biggest value? (a) w (b) n (c) 0.2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is 5 - 17c?\nAnswer: -177","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 7018026 and 18714736?\nAnswer: 56144208","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let g(r) = 3*r - 56. Calculate g(-3).\nAnswer: -65","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -22 + 25. Solve -16 = -4*v - k*m, -v + 6 = -m + 2 for v.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -2\/9? (a) -202 (b) -6.3 (c) -0.5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is -2 + -23?\nAnswer: -25","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in -3153, -5.53, -1\/3?\nAnswer: -3153","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*k - 511 = -511, -2*k + 60 = 5*s for s.\nAnswer: 12","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: How many nanograms are there in 95592.69 grams?\nAnswer: 95592690000000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -103*y**2 + 224*y**2 + 442 - 442 - 128*y**2.\nAnswer: -7*y**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: 6859 times 3\nAnswer: 20577","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let m(d) = -8250*d - 198002. Let y be m(-24). Let x(o) = -o**2 + o - 1. Let n(j) = 6*j**2 + 0*j**2 - 7*j - 1 + 8. What is y*n(u) - 14*x(u)?\nAnswer: 2*u**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is -5b (base 12) in base 2?\nAnswer: -1000111","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is -35 - 7?\nAnswer: -3c","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is -220 (base 7) in base 4?\nAnswer: -1300","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: -3418 (base 9) to base 6\nAnswer: -15412","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of -39, -19, 35, 141, 317?\n\"Answer: 3*v**3 - v**2 + 2*v - 43","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let n(b) = -2*b**2 - 2*b - 1. Let h be n(-2). Let r be (-6)\/4*(-4)\/12. Put r, -3\/7, h in descending order.\nAnswer: r, -3\/7, h","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 113 is divided by 35.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: -3*1*114\/171\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: -0.43+302056795\nAnswer: 302056794.57","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Expand -3 - 2*r + 4 + 0*r + (2 + 4 - 5)*(54*r - 38*r - 27*r).\nAnswer: -13*r + 1","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*w - 3 = -2*k + 57, 5*k = 15. What is the remainder when 65 is divided by w?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -9 by -1728097.\nAnswer: 9\/1728097","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) -3 (b) 34 (c) 2\/11 (d) -3\/3248 (e) -5 (f) 0 (g) 2\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let w(m) = -4*m**2 - 2*m + 5. Let y be w(-3). Let b = 25 + y. Suppose 2*s + 3 - 47 = b. What are the prime factors of s?\nAnswer: 2, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (-6)\/15*2\/(-4). Let r = 49 - 243\/5. Suppose -3*l = l - v + 9, -20 = -4*v. Which is the nearest to r? (a) z (b) l (c) 1\/3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(j) = -12*j**3 - 2*j**2 + 2*j. Let x(y) = -59*y**3 - 11*y**2 + 10*y. Calculate -11*k(v) + 2*x(v).\nAnswer: 14*v**3 - 2*v","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let n(l) = 3*l + 2. Let w(y) = 17*y + 22. Let m(k) = 6*n(k) - w(k). Give m(1).\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -2403 + 3791. Is u a multiple of 11?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -5396 divided by 2698.\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 12170 + -12170. Which is the nearest to 1? (a) -22\/9 (b) p (c) 23\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 1221756 and 85.\nAnswer: 6108780","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -7\/9? (a) 5\/16 (b) 0.1 (c) 5 (d) 3 (e) -2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Are -3.916231 and -1 unequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let d(n) = -256*n + 6*n**2 + 133*n - 23*n**2 + 123*n. Let j(a) = -75*a**2. What is j(d(w))?\nAnswer: -21675*w**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let n(c) = c**3 - 2*c**2 + 2*c - 2. Let j be n(2). Suppose 4*i = 2*m - 24, -34 = -3*m + j*i - 10. Is m a multiple of 3?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = i + 1 + 4, -4*p - 4*i - 16 = 0. Let r(y) = -2*y + 1 - 2*y**2 + 7*y**2 - 3*y**2. What is r(p)?\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(n) = 3*n**3 + 2*n + 1. Let s = 4 - 1. Let a(f) = -3 - 5*f - f**2 - 3*f**s - 5*f**3 - 1. Let t(x) = -4*a(x) - 11*r(x). Give t(4).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*c = -9*c. Suppose 5*w - 4*w = c. Solve w = 3*i - 4*i for i.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 935356.6 centuries in years?\nAnswer: 93535660","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of -777, -2738, -5965, -10452, -16193, -23182, -31413, -40880?\n\"Answer: f**3 - 639*f**2 - 51*f - 88","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:43 PM and 8:31 AM?\nAnswer: 588","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 329558979?\nAnswer: 3, 2531, 43403","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-15 + 14 - (17 - (0 - -6))) + -80.\nAnswer: -92","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve -7 = -5*x - 0*x + j, 0 = 2*x + 3*j + 4 for x.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -13 - -15. Is ((-27)\/45)\/(d\/(-2770)) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 31\/16 and 61\/15010.\nAnswer: 120080","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) -70.3 (b) 0.5 (c) 10\/19753\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -33 + 30. Let d be ((-6)\/g)\/(2\/(-843)). Is 1\/4 + d\/(-4) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 17*o = -2*o + 503215. Is o prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 750350773 to the power of 1\/2, to the nearest integer?\nAnswer: 27393","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let h(m) = 4*m**2 - 16*m + 28. Let t(v) = 3*v**2 - 11*v + 19. Let b(w) = -5*h(w) + 7*t(w). Let s be b(-5). Suppose g = 9 - s. What are the prime factors of g?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 5958 is divided by 2075.\nAnswer: 1808","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 37270 and 340?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let o(z) = -z**2 - 18*z + 23. Let k be o(-16). What is the greatest common factor of k and 5?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 2045?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((n*n\/(n**18*n)*n*n\/n**(-3))\/((n**(10\/13)*n)\/n)**(-1\/51))**(-4\/3) assuming n is positive.\nAnswer: n**(31784\/1989)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let t be -8 + 11 + (7 - 1) - 6. Put -0.4, t, -2\/37, 0 in ascending order.\nAnswer: -0.4, -2\/37, 0, t","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*u - 9*u = 4*p + 19, -5*p = -5*u - 20. Suppose 4*c - 2*b + 0*b + 10 = 0, 4*c - 5*b + 1 = 0. Sort p, c, 1 in ascending order.\nAnswer: c, p, 1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 3257 is divided by 1626?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*q = -5*u - 9*q + 19, q = -u + 4. Let z(m) be the second derivative of -m**4\/12 + 2*m**3\/3 + 3*m**2\/2 + 6*m. What is the units digit of z(u)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 20 - 14. Let z(c) = 6*c**2 - 3*c + 3. Let i be z(2). Let p = i + x. Calculate the remainder when p is divided by 7.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ptm when three letters picked without replacement from pggpbtpptptm.\nAnswer: 1\/88","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -14*d + 7*d - 112 = 0. Which is greater: d or -15?\nAnswer: -15","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 4\/130*280\/14*(-1)\/(-2)?\nAnswer: 4\/13","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (-55)\/(-4) + (-8)\/(-32). Let d be (-7)\/(v\/(-68)) + 4. Suppose d + 6 = 4*x. Solve 5*t = r + x, -4*t + 2*r + 7 + 3 = 0 for t.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -n**3 + 175*n**2 - 6392*n - 114868.\nAnswer: -(n - 94)**2*(n + 13)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -6000, -5966, -5920, -5856, -5768, -5650?\nAnswer: -5496","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (2 - 24\/9)*9. Let j(d) = -d**2 - 9*d - 8. List the prime factors of j(g).\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 11*r - 485 = -595 for r.\nAnswer: -10","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 34 and 493.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from ggsgggggss. Give prob of picking 2 g.\nAnswer: 7\/15","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((5\/10)\/(5\/(-10)))\/1?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.0000573389 rounded to six dps?\nAnswer: -0.000057","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let q(c) = -67*c + 1610. Let t be q(24). Suppose -4\/11*a - 2\/11*a**t + 0 = 0. What is a?\nAnswer: -2, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(l) = -l**2 + 8*l - 16. Let j be d(4). Factor 1\/4*g**2 + j*g - 1\/2*g**3 + 0 + 1\/4*g**4.\nAnswer: g**2*(g - 1)**2\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -1, -154, 4, -1376 in increasing order.\nAnswer: -1376, -154, -1, 4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is 33 a factor of 1056?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let x(o) = 199*o**2 + 52*o - 325. List the prime factors of x(11).\nAnswer: 2, 12163","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -145\/4 - -36. What is the nearest to x in -3, 1, -2?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 82*s - 18*s - 14*s + 24*s to the form g*s + w and give g.\nAnswer: 74","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Factor 0*o**2 + 6\/7 + 1\/7*o**3 - o.\nAnswer: (o - 2)*(o - 1)*(o + 3)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 8 + -10 + 1 + -4 + 1.\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 19215 to the power of 1\/3, to the nearest integer?\nAnswer: 27","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is 89 a factor of 4097627?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is 201130033232000 - 2?\nAnswer: 201130033231332","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let p(i) = 8*i**3 + 7*i**2 + 59*i. Let u(o) = -7*o**3 - 7*o**2 - 60*o. Calculate 10*p(j) + 11*u(j).\nAnswer: 3*j**3 - 7*j**2 - 70*j","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Sort -0.3, -2\/7, 6\/17 in ascending order.\nAnswer: -0.3, -2\/7, 6\/17","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let o be 77 - 11\/(44\/16). Let f = -55 + o. Let y = -4 - -7. Solve -y + f = 3*v for v.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 1268409?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let c(q) be the first derivative of -230*q + 284\/3*q**3 - 233 + 0*q**2. Differentiate c(b) with respect to b.\nAnswer: 568*b","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 81 a factor of 51796572?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is 520009 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Sort -0.1, -20, -1\/4.\nAnswer: -20, -1\/4, -0.1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is -4 - (-7 + -2 + 6) - -5?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let l(h) = 1006*h - 1003. Let m be l(1). Let c(x) = -x**2 - 8*x + 36. What is c(m)?\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 1967 and 1834?\nAnswer: 515354","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: 220 divided by 1\nAnswer: 220","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -82 and 20.6.\nAnswer: -1689.2","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Convert 9597 (base 11) to base 14.\nAnswer: 48a6","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 4038, -3786, -11610, -19434?\nAnswer: -27258","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let g(s) be the second derivative of -s**3\/2 - s**2 - 28*s. Let d(x) = -231*x + 3 + 470*x - 236*x. Determine 2*d(z) + 3*g(z).\nAnswer: -3*z","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 224 + -9541. Round c to the nearest 1000.\nAnswer: -9000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 69031 + -32910. What is the hundreds digit of x?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -9363 = -4*s + h, -5*s + h = 2*h - 11697. Find the first derivative of s - 2313 - 20*d - 10*d wrt d.\nAnswer: -30","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l be 2 + (1 - (0 - 0)). Let q be ((-1)\/2)\/(l\/(-360)). Let g be 18 + -12*6\/9. What is the highest common factor of g and q?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -108 + 110. Let p(q) be the first derivative of m*q**2 - 2\/3*q**3 + 5 - q**4 + 2\/5*q**5 + 0*q. Factor p(s).\nAnswer: 2*s*(s - 2)*(s - 1)*(s + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(h) = -289219*h + 1156773. Determine l(4).\nAnswer: -103","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-157)\/(-942) - (-1)\/(-6)?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of (4593\/15 - -3)\/(2\/10).\nAnswer: 2, 773","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -10 = 3*i - 8*i. Suppose 0 = p - i, -3*h + 19 = 4*p - 1. Suppose -5*s - 9 - 1 = -h*t, 6 = 5*t - 3*s. Solve t = 3*l - 12, 0 = -0*z - 4*z + l - 24 for z.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Do -126949 and -1142536\/9 have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*p = 3*k - 14, -15 = -3*k - 3*p - 0*p. Suppose -2*n = -y + 11, -y = k*n + 8 + 5. Is y prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(n) = -n**2 - n + 88. Let d be i(8). Is 180900\/84 + d\/(-28) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(m) be the second derivative of m**6\/60 + m**5\/60 - m**4\/24 + 53*m**2\/2 - 7*m - 2. Let t(q) be the first derivative of i(q). Let t(l) = 0. Calculate l.\nAnswer: -1, 0, 1\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -107*p = 111 + 852 for p.\nAnswer: -9","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 4717\/(-534) - 2\/12?\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 13414 is divided by 39.\nAnswer: 37","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 304851 is divided by 75789?\nAnswer: 1695","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (19197\/2511)\/79*-2?\nAnswer: -6\/31","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 29 and 244383.\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (1 - 3)*(-3 - 9). Suppose 2 = 2*b - 2. Suppose -b*g = -w + 8. What is the units digit of g?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -67141 + 67141 + 5*k.\nAnswer: 5*k","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Determine y, given that 3*y**4 - 27*y**3 - 393*y**2 - 405*y + 2550 = 0.\nAnswer: -5, 2, 17","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let d(b) be the second derivative of b**3\/6 - 817*b. Let v(u) = 17*u**3 - 6*u. What is -6*d(k) - v(k)?\nAnswer: -17*k**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let w(q) = q**3 + q**2 - q. Let y(u) = -3*u**3 + 13*u**2 + 5*u - 17. Let n(s) = -4*w(s) - y(s). Does 14 divide n(-17)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(t) = 7*t - 4. Let k be l(10). Suppose -59*p - 175 = -k*p. Solve -29*f = -24*f - p for f.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {u: 12, z: 1, d: 1}. Give prob of picking 2 u and 1 z.\nAnswer: 33\/182","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 1658, 3280, 4902, 6524, 8146?\nAnswer: 9768","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there in fourty-eight sevenths of a week?\nAnswer: 69120","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let p be 20\/(-6)*3*-1. Let z = -22221 - -22236. What is the tens digit of 646\/p - z\/25?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: 18711\/(-189)*-1*(-6)\/(-54)\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let u be 3\/(-18) - (-19)\/6. Let o be (-2)\/u*(-27)\/(-90). Let c be ((-1)\/(-2))\/(2\/(-4)). Which is smaller: c or o?\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 21\/9398 and 29\/185.\nAnswer: 46990","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 2912 and 102752.\nAnswer: 719264","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (c\/(c*(c\/c**(1\/16))\/c))\/(c\/(c*c**(-15)\/c)) assuming c is positive.\nAnswer: c**(-255\/16)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 n and 1 i when three letters picked without replacement from {i: 1, n: 18}.\nAnswer: 3\/19","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (-806)\/(-18) - 2\/(-9). Let y = i + -48. Which is the closest to 1? (a) y (b) 1\/8 (c) -1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -26 + 52. Suppose -5*m - 4*o + k = 0, -4*m - 2*o + 17 - 1 = 0. What are the prime factors of (-2 - 11*-1) + m?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t be 3 + (0 - 0) + -3. Suppose -45 + t = -5*v. Suppose -4*h - 7 - v = 0, 5*w + 5*h = 150. What are the prime factors of w?\nAnswer: 2, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -21.1 - -21. What is the nearest to x in -3, 4, 1\/15?\nAnswer: 1\/15","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 113\/12 and -23\/176.\nAnswer: 528","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 22\/(-16) - (-3)\/6*2.\nAnswer: -3\/8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 8206 is divided by 1417.\nAnswer: 1121","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -15349*c**5 + 2*c**3 + c**2 + 1307*c - 1 wrt c.\nAnswer: -920940*c**2 + 12","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 34*y**6 + 502*y**5 + 35817*y**2?\nAnswer: 4080*y**3 + 30120*y**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let n(b) be the second derivative of b**4\/6 - b**2 - b. Let f = 0 - -1. Let i be 2 + -1*(1 - f). What is n(i)?\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(s) = 2*s + 10. Let i be w(9). Let z(k) = 9*k**3 - 2 + 10*k**3 - 18*k**3 - 26*k**2 - 3 + 19*k. Is z(i) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (4 - 1 - 5 + (1 + 4 - 3)*(1 - 1 - 2))*(3 - 1 + 0)*(51*r**3 - 52*r**3 + 30*r**3) to l*r**3 + s + j*r + i*r**2 and give l.\nAnswer: -348","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*u + 768 = -f, 7*u - 2*u - 3*f = -960. Let o be (0 - 1)\/(-2)*u. Let q = o - -189. Is q prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -30 = -5*p + 4*n, 7 + 9 = 3*p - 2*n. Solve -p*f + 5*y + 1 = -4*f, 2*f + 5 = -y for f.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*l - 1 + 28. What is the highest common divisor of 90 and l?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) 150 (b) 27 (c) 3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 8122216 or 8122215?\nAnswer: 8122216","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 142046 to the nearest integer?\nAnswer: 52","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Express 62*y + 15*y**2 + 8*y**2 - 37*y**2 - 22*y + 16*y**2 - 2 in the form d*y**2 + m*y + g and give m.\nAnswer: 40","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -5*j - 2 - 11*j - 6*j.\nAnswer: -22*j - 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve -p - 1171*f = -1175*f + 6, -5*p + 4 = -3*f for p.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in -0.4, -109, -2?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 153*i + 5720 = -346*i + 59*i for i.\nAnswer: -13","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is -4 + -1122880?\nAnswer: -1122884","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve -u = 41, 8052*s - 11*u = 8048*s + 435 for s.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 3 + (-5 - (-8 + 5 - 6)).\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7*v - 4378200 = 14*v - 17*v. Round v to the nearest ten thousand.\nAnswer: 440000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_test"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*q = 1 + 4. Let j = q - -1. What is the units digit of (1 + j)*5 - -1?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find m such that 5*m**2 - 94030*m + 1503200 = 0.\nAnswer: 16, 18790","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 827 to the power of 1\/10, to the nearest integer?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: How many hours are there in 44617.383ns?\nAnswer: 0.0000000123937175","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is (450\/50)\/(-3)*5?\nAnswer: -15","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*h - h = -j - 30 + 4, j = -5 for h.\nAnswer: -21","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let k(x) = 330*x + 1997. Let l be k(-6). What is the nearest to l in -1, -2, 5, 1?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the seventh biggest value in 3\/2, -1, 0.15, 29, 3\/4, -0.3, -0.12?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 201442?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -27\/2 in 4, 28\/3, 3?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*w + 20 = 5*f, -6*f = -2*f + 4*w - 8. What is the remainder when 11 is divided by f?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (-3*x**2 + 2*x**2 - 3*x**2)*(3 + x - 3)*(-5*x + 2*x - 2*x) in the form m*x**4 + o*x**3 + j*x + a + c*x**2 and give m.\nAnswer: 20","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -a + 3 = -2*a. Let y(k) = k**3 + k**2 + k + 7. Let b be y(a). Let r(s) = s**3 + 15*s**2 + 14*s. What is r(b)?\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -8 + 9 + 160 + -160.\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 11*u + 3*u - 140 = 0. Suppose -3*n = 2*q + q - 135, 0 = 4*n + 2*q - 180. Calculate the remainder when n is divided by u.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(y) = -y + 1. Let w be o(-5). Let k(u) = -9 + w + 9*u + 0*u. List the prime factors of k(4).\nAnswer: 3, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 50*p - 888*p - 6322 + 29786 = 0 for p.\nAnswer: 28","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -3.6 + 10.7. Let c = y + -7. Let p = 21 - 22. What is the closest to c in 3, 0.3, p?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-1 - 0) + 6 - (2429\/161 - 10)?\nAnswer: -2\/23","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (-6)\/4*1*(-10)\/3. Suppose -q*j + 13 = -12. Suppose -18 = -4*s - s - f, -j*s = -2*f - 24. Solve l + 2*l = s*x + 19, 5*l + x = 1 for l.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-60)\/(1*10\/(-80)*20)?\nAnswer: 24","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 3 - 1. Suppose 5*m + u - 51 = -u, 2*m + s*u = 24. Suppose -4*f = -m - 19. What is the units digit of f?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 9*t**4 - 240*t**3 + 2106*t**2 - 5832*t - 2187.\nAnswer: 3*(t - 9)**3*(3*t + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let w(g) be the third derivative of -g**6\/120 - g**5\/30 + 3*g**4\/8 - 17*g**3\/6 + 21*g**2. Let r be w(-5). Calculate the greatest common factor of 117 and r.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(v) = 4*v**2 + 102*v + 326. What is h(-30)?\nAnswer: 866","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -6.88 - -6.98. Which is the nearest to p? (a) -1\/2 (b) 4 (c) 37 (d) -2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is -20 + 540?\nAnswer: 520","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3 - 6 = -3*u. Let k be (0\/(-6))\/(u + 1). Suppose -b - 11 + 45 = k. Calculate the remainder when b is divided by 10.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of -22, -218, -750, -1786, -3494, -6042, -9598?\n\"Answer: -28*m**3 + 6","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 78.9 - 74177680145.\nAnswer: -74177680066.1","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let t be 90 + (-28 - -24)\/(1*2). Calculate the greatest common divisor of 11 and t.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) 1 (b) -3243331 (c) 5 (d) 0.07\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence lu when two letters picked without replacement from mmmmuluummmmmummumu?\nAnswer: 1\/57","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let b(g) = -14*g**2 + 24*g + 12. Let r(u) = u**2 - 2*u - 1. Let p(v) = b(v) + 12*r(v). Let x(w) = 0*w**2 + w + 32*w**2 - w. What is x(p(a))?\nAnswer: 128*a**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -d**5 - 156*d**3 + 169*d wrt d?\nAnswer: -20*d**3 - 936*d","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: 111 (base 7) to base 16\nAnswer: 39","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-4 + sqrt(5))*-4 + 1.\nAnswer: -4*sqrt(5) + 17","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Convert -d (base 15) to base 9.\nAnswer: -14","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 25 + -33. Let u be (4\/l)\/((2 - 0)\/4). What is the closest to 0.1 in u, -5\/4, 4?\nAnswer: u","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 3551 is divided by 12.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (2*1)\/(10\/(-195)). Let u = 85 + c. Suppose -n = -3*w - 77, 2*n - 108 - u = -4*w. Is n a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*v + 14 = -5*y, 3*y = -5*v - 2*y + 10. Suppose -2\/13*h**v + 2\/13*h**2 - 2\/13 + 2\/13*h = 0. Calculate h.\nAnswer: -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: 424203 (base 8) to base 7\nAnswer: 1126241","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let v(o) = 3*o**3 + 8*o**2 + 8*o - 44. Is 20 a factor of v(6)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is -3 + -a4c?\nAnswer: -a51","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Put 1, -39, 123, 0, -5 in decreasing order.\nAnswer: 123, 1, 0, -5, -39","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 609*n**4 - 28*n**3 - n**2 - 177393*n wrt n.\nAnswer: 7308*n**2 - 168*n - 2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let p(v) = 40*v**3 - 4*v**2 - 9*v - 2. Let l(g) = -40*g**3 + 6*g**2 + 10*g + 3. What is 2*l(i) + 3*p(i)?\nAnswer: 40*i**3 - 7*i","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) -4 (b) -0.26 (c) -3 (d) -4.1\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (-4 + 1)\/(24\/(-40)). Suppose 5*t + v*x = 250, t - 3*x - 42 = 24. Suppose 0 = -2*z, -3*c + 4*z + t + 12 = 0. What is the tens digit of c?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: 2120022212 (base 3) to base 13\nAnswer: 1a009","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let -3*r**4 + 89622*r**3 + 986205*r**2 = 0. What is r?\nAnswer: -11, 0, 29885","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -l + 20 = 4*l. Suppose -14 = -2*t + 20. Suppose t = -4*q + 5*a, 4 = 4*q + a - 9. Solve -q*b = l*n - 2, -9 = -5*n + 1 for b.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 74 or 82?\nAnswer: 82","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let h(x) be the first derivative of x**6\/3 - 12*x**5\/5 + 7*x**4 - 32*x**3\/3 + 9*x**2 - 4*x - 107. Find k, given that h(k) = 0.\nAnswer: 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 8*o + 3*o + 21 = 32*o for o.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: -62 divided by -10161\nAnswer: 62\/10161","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let s(f) = f**3 + f**2 + 7*f - 11. Give s(0).\nAnswer: -11","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is -22d + -2?\nAnswer: -230","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let q(o) = o**3 - o**2 - o - 1. Suppose 2*j - u - 11 = 0, 1 = -3*j + 4*u + u. Let b(r) = -r**2 + 8*r + 2. Let a be b(j). Calculate q(a).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j be 1 - (1 - 2)\/(-1). Let k be (-6)\/((j + 1)*-2). Suppose -k*f + n + 3 = -2*n, -2*f + 3*n - 2 = 0. Solve -4*d = f*a - 41, -3*a - 3*d + 27 = -0*a for a.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(r) = r**3 - 26*r**2 + 66*r + 182. Give v(23).\nAnswer: 113","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.0001327609 rounded to 5 dps?\nAnswer: -0.00013","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence dd when two letters picked without replacement from cdcccccndccccdccn.\nAnswer: 3\/136","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is (24\/60)\/(-3*(-3)\/(-405))?\nAnswer: -18","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 7330 a multiple of 13?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-143)\/((-22165)\/(-1488))*5.\nAnswer: -48","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 74*m + 71*m + 3*m**2 - 1541*m + 1396*m.\nAnswer: 3*m**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: -2045668 (base 10) to base 7\nAnswer: -23250022","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let b(c) be the second derivative of 3\/2*c**2 + 5*c + 2\/3*c**3 + 0. Let t(g) = 3*g + 2. Let p(s) = 2*s**2 - 3*s + 3. Let f be p(2). Determine f*t(y) - 4*b(y).\nAnswer: -y - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve 6*t + 2*t + 3*g = 3*t - 1, 0 = 36*t + 4*g - 116 for t.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -6 + 6. Suppose s = -2*c + 6*c. Suppose -4*w + 4 + 28 = c. Let z(a) = a**3 - 7*a**2 - 8*a + 4. Calculate z(w).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(b) = -b**3 - 22*b - 116. Determine a(-4).\nAnswer: 36","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let l(z) = 69*z**2 + 17*z + 18. Let w(d) = d + 22. Let b be w(-23). Is 10 a factor of l(b)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-5*((sqrt(2673) - -2*sqrt(2673)) + sqrt(2673)) + -5*sqrt(2673)*1)\/(-2*5*(sqrt(243) + sqrt(243)*2)) + 5)**2.\nAnswer: 25*sqrt(11)\/3 + 1175\/36","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of -2834992, -2835165, -2835338, -2835511, -2835684, -2835857?\n\"Answer: -173*w - 2834819","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let d(m) = m**3 - 16*m**2 - 7*m + 8. Determine d(-3).\nAnswer: -142","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Express (4 - 4 - 1)*(-v - v - 14*v)*(2*v**2 - v**2 + 0*v**2) + (5 - 5 + 2*v**2 + 2*v)*(-v - 3*v - 5*v) in the form k*v**2 + l*v + f + d*v**3 and give k.\nAnswer: -18","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 1885868517 to the power of 1\/6, to the nearest integer?\nAnswer: 35","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence tq when two letters picked without replacement from {s: 2, q: 4, w: 3, i: 1, t: 2}.\nAnswer: 2\/33","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 30420978?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (2*sqrt(48)*-1 + 4 + sqrt(96)\/sqrt(2))**2.\nAnswer: -32*sqrt(3) + 64","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 3 + (-6 - -2 - -7).\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -11*u**2 + 0*u - 3*u + 2*u - 8*u**2.\nAnswer: -19*u**2 - u","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: 14895625+45\nAnswer: 14895670","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -298 - -314. Calculate the lowest common multiple of n and 130.\nAnswer: 1040","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (2\/(-7))\/((-2013)\/(-4697)).\nAnswer: -2\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 0.26 + 0.04. Let z = -6 - -5.6. What is the biggest value in g, z, -1\/8?\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(y) = 5*y**2 + 2*y + 1. Let k be z(-3). What is k rounded to the nearest 10?\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(v) = -2*v + 1. Let t be x(-4). Suppose -4*j - t = -j. What is the remainder when 12 is divided by 2\/(-3) - 23\/j?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(o) = -151*o + 3204. Determine v(21).\nAnswer: 33","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 157\/2759712 and 59\/9255888.\nAnswer: 1647548064","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let a(c) = -c**3 - 538*c**2 - 4741*c + 186. Give a(-9).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let x(l) = 11*l**2 + 2*l - 1. Let r be 3*-3*5\/(-45). Calculate x(r).\nAnswer: 12","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -447*g**2 + 589*g + 483*g + 445*g**2.\nAnswer: -2*g**2 + 1072*g","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*d - 3 = -a + 10, 2*d - 10 = -a. Let s(c) = -17*c + 77. Determine s(a).\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((6*(sqrt(484) - sqrt(484)*-3)*5)\/(3*sqrt(88)\/sqrt(2)))**2*4.\nAnswer: 70400","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (-100)\/(-8)*(-1050)\/(-3). Suppose h = 12*y - 437. Is 45 a factor of y?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j be -4*(3 - 0)*36\/(-108). Suppose -k = v - 15, 5*k + 43 = j*v - 26. Solve 2*x - 3*x - 5*q = v, -4*x - 5*q - 4 = 0 for x.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 37122 and 54.\nAnswer: 334098","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -699*c**4 - 2*c**3*n + 59*c + 5397*n + 12 with respect to c.\nAnswer: -2796*c**3 - 6*c**2*n + 59","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 4*1.1.\nAnswer: 4.4","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -g**4*t - 3*g**4 - 3*g**3*t + 24*g**3 + 5*g**2*t + 89*g*t - 4*t wrt g?\nAnswer: -24*g*t - 72*g - 18*t + 144","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Expand 2*w + 3 - 3 + 0*w - 55*w - 61*w - 1 + 1 - 2*w + (-3 - 2 + 4)*(17 - 17 - 3*w).\nAnswer: -113*w","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 9743 less than 1109057?\nAnswer: 1099314","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let r(o) = -1. Suppose 0*l + 1 = -l. Let m(b) = -b + 3. What is l*m(n) - 2*r(n)?\nAnswer: n - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Does 9 divide 15048?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let s(b) = 6*b - 5. Let j(g) = 7*g - 6. Let k(q) = 5*j(q) - 6*s(q). Let o(v) = -v**2. Determine o(k(p)).\nAnswer: -p**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 461 is divided by 51.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*g + 8 = -4*c, -5*c + 0*c = -g - 2. Let r(i) = 1. Let j(f) be the first derivative of f**3\/3 - f - 9. What is c*j(d) + r(d)?\nAnswer: d**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve -q = -4*b, b = 2*q + 11 - 18 for b.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is 234 a multiple of 78?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -l + 12 + 0 = 0. Calculate the common denominator of l\/((-11)\/(-2)*(7 + -9)) and (-62)\/(-92) - 2\/(-4).\nAnswer: 253","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(q) = 11*q**2. Let a(u) be the second derivative of 0 + 1\/3*u**3 + 0*u**2 - 27*u. Calculate b(a(o)).\nAnswer: 44*o**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is 871700 a multiple of 46?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is (27\/21 - 1)*35\/25?\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -0.8? (a) -1\/6 (b) -20 (c) 29 (d) 0.1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 314.56 and -0.3.\nAnswer: -94.368","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let l(n) = 3882*n**2 + 29*n + 27. Is 4 a factor of l(-1)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -4 + 7. Determine i so that -15*i**4 - 6*i**3 - 18*i**z - 26*i**2 - 3*i**5 + 14*i**2 = 0.\nAnswer: -2, -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(y) = y. Let v be (-4)\/((-14)\/6 + (-2)\/(-6)). Let h(z) = 5*z**2 + 2*z**2 - 10*z**v. What is u(h(g))?\nAnswer: -3*g**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 120295.8 days in hours?\nAnswer: 2887099.2","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 4224 and 4710816?\nAnswer: 1056","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 6747 and 263926?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (r\/r**(6\/13)*(r**10\/r)\/r*r*r**3\/r**(1\/10))**(-1\/14) assuming r is positive.\nAnswer: r**(-231\/260)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let p be -1 + -3 + 1 + 14. What is the closest to p in -1\/3, 0.4, 0?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 4753, 2772, -535, -5168?\nAnswer: -11127","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 2676546 a multiple of 3?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5878526*h + 2507 = 5878635*h for h.\nAnswer: 23","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 39 minutes before 8:23 PM?\nAnswer: 7:44 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((((s*s\/(((s*s*s**(-3\/8)\/s*s*s)\/s)\/s)*s)\/s)\/s*s*s*s**(2\/13)*s)\/(s**(1\/3)*s)**(-13))**(-34) assuming s is positive.\nAnswer: s**(-110653\/156)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Put 4, -615283, 5 in decreasing order.\nAnswer: 5, 4, -615283","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -14*l + 120 = 190. Let q(w) = -3*w**3 + 2*w**2 - 13. Let c(y) = -4*y**3 + 3*y**2 - 19. Determine l*c(u) + 7*q(u).\nAnswer: -u**3 - u**2 + 4","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-70*t - 44 + 44 - 102*t)*(-1 + 1 + 2 - 1 + 2 + 1 + (-1 - 1 + 0)*(5 + 0 - 4)) to the form m*t + y and give m.\nAnswer: -344","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*z - 2*z + 3 = 0. Is (-3)\/3 + z - -39 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -376 - -375.807. Let r = w + 0.19299331. Round r to six decimal places.\nAnswer: -0.000007","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) 36 (b) -2\/3 (c) -2.557 (d) -118\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve -a**4 - 10778*a**3\/7 - 93959*a**2 + 860378*a\/7 - 191880\/7 = 0 for a.\nAnswer: -1476, -65, 2\/7, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let a be 0\/2*(1 - 0). What is the nearest to 1 in 4, -0.04, a, 5\/2?\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 460527, 460507, 460487?\nAnswer: 460467","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_test"},"subset":"dm_maths"} +{"text":"Question: Suppose -9*a - 988 = -5*a. Let r = 195 - a. Suppose -4*p - r = -6*p. Is p a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between -1.52 and -233877.3234?\nAnswer: 233875.8034","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of 2, 2, 6, 14, 26?\n\"Answer: 2*u**2 - 6*u + 6","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 33611?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = y - 4 + 1. Put 4, 0, y in ascending order.\nAnswer: 0, y, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {n: 5, t: 5, p: 1}. What is prob of picking 2 n, 1 t, and 1 p?\nAnswer: 5\/33","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is dd + 0?\nAnswer: dd","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let v(o) = 5058109*o**3 - 9299*o**2 - 9299. Let c(j) = -1088*j**3 + 2*j**2 + 2. Calculate 27897*c(h) + 6*v(h).\nAnswer: -3282*h**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let n(c) = 120*c**2 - 2*c + 1. Let s be n(2). Suppose 55 - 156 = -h + 2*f, 4*f - s = -5*h. Is h a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -418 - -796. Is x a multiple of 27?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -8 - -297. List the prime factors of k.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -0.56 + 0.06. Let j be 4\/2*55\/385. Which is the closest to j? (a) -2\/23 (b) -3 (c) h\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 0.055 - 0.155. What is the second smallest value in 1\/2, 1, 5, k?\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (-10)\/4*(-16)\/20. Suppose 2 = -g + v - p, -6 = -2*v. Calculate the least common multiple of 2 and 14\/2 + (g - 0).\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 62*p + 5*i = 64*p - 36, -3*i - 3 = 5*p. Which is the nearest to 1? (a) -1\/5 (b) 6\/5 (c) 4 (d) p\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a be ((-24)\/(-15) + -2)*5. Is 1296\/28 + a\/7 a multiple of 16?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(c) = 16*c + 5. Let d(p) = 17*p + 4. Calculate -4*d(g) + 3*i(g).\nAnswer: -20*g - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let k(w) = 6*w - 94. Let j be k(16). Suppose 0 = -j*l + 25*l - 9384. Is 17 a factor of l?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in 1\/14, -0.3, 0.074?\nAnswer: 0.074","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -4 - -5. Let p = -2 - t. Which is the third smallest value? (a) -2 (b) p (c) 2\/3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 7440 and 22196.\nAnswer: 124","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 49586*s - 49586*s - 4*s**2.\nAnswer: -4*s**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 158961 and 66?\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Sort -4, -5, 5, 29 in decreasing order.\nAnswer: 29, 5, -4, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is -1001101 + 11011000001100000?\nAnswer: 11011000000010011","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve 27 = 3*t - 5*f, 0 = -t - f - 0*f + 1 for t.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0*-0.04366.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -31 + 11. Let n = -20 - z. Let k be 2 - -1 - (-2 - n). Sort k, 3, 2 in increasing order.\nAnswer: 2, 3, k","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(f) = -f**3 - 2*f**2 + 5*f + 2. Let i be b(-4). Suppose 50*s + 132 = 782. Are i and s equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -f + 8 = 3. Let s(a) = -118*a + 56. Let u be s(-6). Suppose -4*h + f*m = -u, -3*h = -m - m - 573. Is h prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*h - 3*h + 2 = j, -h + 8 = -2*j. Let d be 1\/36 - j\/9. Let o = -638\/5 - -128. Is o > d?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 10269652 to the power of 1\/8, to the nearest integer?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 32714 is divided by 41?\nAnswer: 37","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: d2da7 (base 15) to base 9\nAnswer: 1227234","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 5865 a multiple of 90?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -0.3 and -3491?\nAnswer: 1047.3","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -11058, -10977, -10896?\nAnswer: -10815","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Find b such that 4*b + 12\/7 + 16\/7*b**2 = 0.\nAnswer: -1, -3\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 6478 + -6469. Solve 101*v = 92*v + k for v.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 160*t + 107360 = 240*t. What is the remainder when t is divided by 447?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 11902?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Convert 49778 (base 13) to base 4.\nAnswer: 201002003","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 955164420 and 3195.\nAnswer: 3195","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let g(x) be the first derivative of 0*x - 31\/8*x**3 + 47 + 3\/8*x**4 - 3\/2*x**2. Factor g(h).\nAnswer: 3*h*(h - 8)*(4*h + 1)\/8","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -k - 2*k - 4*v = -69 - 37, -5*k + 4*v = -6*k + 46 for k.\nAnswer: 30","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Work out 0.411 * 0.0575415.\nAnswer: 0.0236495565","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let o be 2\/12 - 531\/(-54). Calculate the greatest common factor of o and 2.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of -44930, -89382, -133834, -178286, -222738?\n\"Answer: -44452*b - 478","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Sort 8\/3, 0, 1.\nAnswer: 0, 1, 8\/3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 316328 is divided by 9680.\nAnswer: 6568","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -1\/3? (a) 2 (b) -2 (c) 109512\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 192 - 191.93. Let w = 0.2 - 1.2. Is m <= w?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0.1 in -10, 3, -5, -2\/67, 1?\nAnswer: -2\/67","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -493*a**2 + 29 - 29 + 3146*a**3 - 1414*a**3 - 266*a**2 wrt a.\nAnswer: 10392","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:51 AM and 12:27 PM?\nAnswer: 636","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (t\/((t*t*(t\/((t*t\/(t\/(t\/t**(-5\/3))))\/t))\/t)\/t)*t)**(-8\/13)\/(t**(-2\/27)\/(t\/t**8)) assuming t is positive.\nAnswer: t**(-3223\/351)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 k, 2 l, and 1 m when four letters picked without replacement from {k: 4, m: 1, l: 9, g: 1}.\nAnswer: 48\/455","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -5*203.\nAnswer: -1015","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -32.1663*3.\nAnswer: -96.4989","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 17210.7 - 17282.447. What is i rounded to the nearest integer?\nAnswer: -72","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 0.7587 - 0.9587. Sort u, -0.1392, 0.\nAnswer: u, -0.1392, 0","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(t) = 12*t + 95. Let g be l(-8). What is the closest to g in -4, -1, 0.9?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ggm when three letters picked without replacement from {b: 1, g: 2, m: 1}.\nAnswer: 1\/12","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -3*v + 19*v**3 - 10*v**3 - 1 - 8*v**3 + 5*v**4 + v**2 + 3 to the form z*v**2 + r*v**3 + f + a*v + j*v**4 and give j.\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: 648399 (base 11) to base 8\nAnswer: 3747325","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 12892 - -2879. Is 155 a factor of s?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -5*1\/2*(-8)\/(-70)?\nAnswer: -2\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve -z + 37 - 37 = 3*y, 2*y = -2*z + 4 for y.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -5897*t + 191 + 188 - 609 + 230.\nAnswer: -5897*t","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*w = 3*r - 0*w - 6, 3*r = -2*w + 18. Solve -4*m - 4*n = r, -4 = 2*m - 5*n + 26 for m.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(a) = -19*a - 61. Calculate n(-9).\nAnswer: 110","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is one quarter of a meter in centimeters?\nAnswer: 25","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Divide -2716 by 12.\nAnswer: -679\/3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is 1089451661 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 0.0584 - 0.063. Round s to three decimal places.\nAnswer: -0.005","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is k in -4*k**5 + 2680*k**4 + 5424*k**3 - 32224*k**2 - 21632*k + 86016 = 0?\nAnswer: -4, -2, 2, 672","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -10 - -12. Suppose -3*i - m*q + 30 + 39 = 0, 0 = 5*i - 2*q - 99. Let j = i + -16. Solve -z = -5*a + 15, j*a - 15 = -z - 4*z for a.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -453760 = -46*h - 33*h + 85257. What are the prime factors of h?\nAnswer: 6823","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -10*u + 14 = -3*u. Let b(s) = -4*s**u + 4*s**2 + s**2 + 2*s**2. Let w(n) = n**2. What is -2*b(m) + 5*w(m)?\nAnswer: -m**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of -49783, -198875, -447351, -795205, -1242431, -1789023, -2434975, -3180281?\n\"Answer: x**3 - 49698*x**2 - 5*x - 81","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 17400 a multiple of 29?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -95 = -3*k + 31. Calculate the highest common divisor of 84 and k.\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*d + 2*v = -10, 5*d - 2*d - 4*v - 20 = 0. Suppose 3*r + 0*r - 381 = d. Is r composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 67\/831453 and 32\/4157265.\nAnswer: 4157265","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -1 + 2 + -2 + (5 - 6).\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -7 - (0 + (-1 - 4) - (-437 - -444))?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -12 + 11.9. Let l = t + 0.9. Round l to 1 dp.\nAnswer: 0.8","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(198) + -1*sqrt(198)*-5 + sqrt(198) + sqrt(198))\/sqrt(11))\/(-2*sqrt(726) - 1*sqrt(6)*-1).\nAnswer: -8*sqrt(3)\/21","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is (-3 - 77\/(-14))*2?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*i**4\/5 - 2*i**3\/5 + 8*i**2\/5 + 8*i\/5.\nAnswer: -2*i*(i - 2)*(i + 1)*(i + 2)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let v be 3 + 3\/((-3)\/8). Let h(u) = -u**2 - 5*u + 5. Let f be h(v). Let k = 15 - f. What are the prime factors of k?\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find k, given that -k**3\/2 + 33*k**2\/2 - 363*k\/2 + 1331\/2 = 0.\nAnswer: 11","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((3 + -1 + sqrt(272))**2 - (2*sqrt(272) + sqrt(272) + -3)**2) + sqrt(272) + -1 + 4 + 4)*2.\nAnswer: -4348 + 184*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0? (a) 0 (b) 10\/491 (c) 2\/5 (d) -4 (e) -2 (f) 46.26\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -46 + 112 = 22*i. Suppose 0*w = -2*w - i*r + 5, 4*w - r - 45 = 0. What is the highest common factor of w and 320?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (0\/35)\/(-2 - -1). Which is the smallest value? (a) -4 (b) -0.1 (c) q\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(i) be the second derivative of -i**7\/1260 + 81*i**4\/4 - 243*i. Let s(c) be the third derivative of u(c). Let x(d) = -2*d**2. Give s(x(n)).\nAnswer: -8*n**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let n(y) = 3*y - 1. Let s be n(-1). Let o = -1.9 + 2. Let w = -0.02 + 3.02. Which is the nearest to -0.2? (a) o (b) s (c) w\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(b) = -b + 4. Let p be l(4). Let o(j) = -1 - 2 - 2 + j + 3. Give o(p).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -23271 to the nearest one thousand.\nAnswer: -23000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let f(g) = -3*g**3 + 3*g**2 - 2*g - 1. Let a(o) = -16*o**3 + 17*o**2 - 11*o - 6. Calculate -2*a(n) + 11*f(n).\nAnswer: -n**3 - n**2 + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (2 - 3) + 3 + -1. Let m = 4.7 + -5. Let s = -0.3 + -0.2. Sort s, r, m in decreasing order.\nAnswer: r, m, s","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -2*c**2 - 1 - 7*c + 2 - 1 to s*c**2 + p + x*c and give x.\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 4913 and 17.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of -176, -352, -528?\n\"Answer: -176*r","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 106423 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth smallest value in -1\/10, -44, -2, 1055, -4, -5?\nAnswer: -1\/10","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Sort -3, -2\/9, -0.1 in decreasing order.\nAnswer: -0.1, -2\/9, -3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let v(h) = -h**2 - 13*h - 16. Let p be v(-8). Let g be ((-11)\/33)\/((-1)\/p). Solve g*j = 3*j + 25 for j.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -2.15, 0.2, 3\/2 in descending order.\nAnswer: 3\/2, 0.2, -2.15","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8 = 2*y + 2*y. What is the nearest to -3 in y, 1\/4, -2\/7?\nAnswer: y","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(b) be the third derivative of b**5\/60 + b**4\/24 - 7*b**3\/6 - 3*b**2. Let g be t(3). Solve a = 2*a - g for a.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -52, -1, 7 in descending order.\nAnswer: 7, -1, -52","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let p(h) = -14*h. Let g be p(-2). Suppose 15 = 3*r, 4*r + 1 = i + g. Let u(d) be the third derivative of d**5\/60 + d**4\/4 - d**3\/2 - 1798*d**2. Calculate u(i).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2 = -4*c + 30. Suppose -4*p = c + 4. Is ((-7)\/p - 3)\/(6\/(-27)) even?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*i - 309 = 3*c, -2*i = -4*c - 3*i - 407. Let d = c + 118. Put 3, -3, d, -5 in decreasing order.\nAnswer: d, 3, -3, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -358 - -359. Which is the second smallest value? (a) -0.272 (b) 5 (c) u\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is -16a83 + -2780?\nAnswer: -19753","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of -59, -73, -101, -149, -223, -329, -473, -661?\n\"Answer: -u**3 - u**2 - 4*u - 53","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let p be -6*(-3 - (-5)\/2). Let v = -16 - -11. Let o = -4 - -4. Put v, o, p in increasing order.\nAnswer: v, o, p","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -29\/296 - 20233\/7992. What is the common denominator of 131\/12 and u?\nAnswer: 108","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -2.32947427 rounded to one dp?\nAnswer: -2.3","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 4*y - 6*y + 12*y - 7*y.\nAnswer: 3*y","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -37*t - 284*t**2 + 16*t + 21*t - 378*t**2.\nAnswer: -662*t**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 18*f - 91*f = -1632864. What are the prime factors of f?\nAnswer: 2, 3, 233","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred millions digit of 3990743001?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let t be 3 + (0 - 1) - -2. Suppose -n - 386 = -t*n - 5*o, -4*o = -2*n + 250. Is n a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (-84)\/6 + 3\/(3\/(-2)). Let p = n - -7. Let r = p + 24. Calculate the greatest common factor of 3 and r.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 1721 and 9305447.\nAnswer: 1721","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*j + 3*x + 26, 4*j - 16*x + 26 = 6*j. Which is the closest to 38? (a) 1 (b) -1 (c) 3 (d) j\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*z - 23 = -3*b, 4 = b + z - 6*z. Let v = 35 + b. Calculate the smallest common multiple of v and 28.\nAnswer: 308","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*u = 29*j - 24*j + 2, -3*u + 4*j = -1. Solve -5*o + 25 = 4*f - 20, 0 = u*f - 2*o - 5 for f.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 23428*n**2 - 23422*n**2 + 2*n + 0*n - 7 in the form u*n**2 + c + m*n and give u.\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Divide -964369 by 40.\nAnswer: -964369\/40","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 22461, 22550, 22705, 22932, 23237, 23626?\nAnswer: 24105","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 3660 and 6640.\nAnswer: 1215120","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is 42 a factor of 77449176?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -10*o - 12 - 118. Let w(j) = -j**2 - 17*j - 56. Calculate w(o).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c be 4\/6 - (-143)\/33. Put 2, -19, c in decreasing order.\nAnswer: c, 2, -19","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {a: 2, b: 1, v: 3, g: 4, s: 2}. What is prob of sequence vg?\nAnswer: 1\/11","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Factor 5*k**4 - 165*k**3 - 6165*k**2 + 180425*k + 808500.\nAnswer: 5*(k - 35)**2*(k + 4)*(k + 33)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -53 + 21 + 32 + 16*f**3.\nAnswer: 16*f**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -1\/5? (a) -4\/3 (b) -0.03 (c) 32.3627\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let h(l) = 100*l + 663. Let b(r) = -25*r - 170. Let m(d) = 9*b(d) + 2*h(d). Give m(-8).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -22618 - -22618.2. Let d = -6.5 - -5. Let x = -1 - d. Which is the closest to 2? (a) x (b) z (c) -2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 93576.\nAnswer: 2, 3, 7, 557","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of -113654, -226813, -339972, -453131, -566290, -679449?\n\"Answer: -113159*w - 495","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*y - 15 = 5*n, -2*n = 386*y - 369*y + 3 + 3 for n.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.5 + -2500.2?\nAnswer: -2500.7","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let a be 4\/22 - 40\/(-22). Suppose -5*n = 2*r + r - a, 4*r - 20 = 2*n. Let y be 0\/(-2) + n + 5. Solve -y*z = b + 1, -3*z - b - 2 = z for z.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(b) = -b**2 - 7*b - 3. Suppose -i + 3*i = 3*g - 18, -i - g - 4 = 0. Let y be d(i). Suppose y*a = -0*a + 12. Solve 0 = a*s - 4*n, -s + n = -3*n - 15 for s.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*g - 3*b = 2, -6*b = 3*g - 2*b + 10. Suppose 143*c - 139*c - 20 = 0. Suppose a + c = 2*z, a + 3*a - 2*z = -g. What is the units digit of a?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 200798659?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Work out -0.06 * -6701.\nAnswer: 402.06","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 2043 + -2043. Solve 5*o - 2 = 4*w, -29*o + 26*o + 3*w = a for o.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out 0 + -41434.6.\nAnswer: -41434.6","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is -9207.52 take away -2?\nAnswer: -9205.52","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -15342, -15353, -15366, -15381, -15398?\nAnswer: -15417","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let t be 12\/(-18) - (-17)\/3. Suppose 2*f - 3*f - 2*m + t = 0, m + 5 = 2*f. Suppose 0*k = f*k - 9. List the prime factors of k.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(h) be the third derivative of h**5\/30 - 21*h**2. Let z(k) = k**2 - k**2 - 4*k**2 - 2*k**2. Calculate c(z(u)).\nAnswer: 72*u**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let c(v) = 3*v**2 - 36*v - 314. Let x be c(-20). What is the highest common divisor of x and 66?\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (-1140)\/1330*-2*42. Is -2 less than or equal to w?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = y + 2*m - 11, -y + 5*m + 0 = -4. Find the second derivative of -r**3 + y*r - 28*r - 5*r**3 wrt r.\nAnswer: -36*r","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6 = s + s, 0 = 5*d - 5*s - 50. Suppose 0 = 2*c - j - d, 2*j + 17 = c - 3*j. Which is smaller: c or 3?\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -2\/3 in -1.1, 60, 4, -3?\nAnswer: -1.1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 236770\/(-60)*-6 + -12?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(x) = -x**2 + 12*x + 289. Determine j(-9).\nAnswer: 100","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -53\/7392 and -67\/15696.\nAnswer: 2417184","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is 61 - -131?\nAnswer: 222","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Round 1.28183507 to 2 decimal places.\nAnswer: 1.28","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let a(o) = -284*o + 34643. Determine a(122).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Round -22800 to the nearest ten thousand.\nAnswer: -20000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let f(a) = a**2 + 3. Let o(d) = -2*d**2 - 5. Let y(g) = 5*f(g) + 3*o(g). Let v(k) = 54*k. Determine y(v(c)).\nAnswer: -2916*c**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -8*2\/2*2\/(-8).\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let u be ((-2)\/4)\/((-6)\/24). Suppose z = -0*z + u. Suppose -b = z*y + 3*b - 13604, 0 = y - 5*b - 6795. What is y rounded to the nearest one thousand?\nAnswer: 7000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (1 - -1) + -1 + 79. Suppose 0 = 5*n + 5*j - 155, 0 = -j + 4*j + 3. Calculate the greatest common factor of n and r.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (-1 - (1 - 3))*-116. Let q be (z\/(-16))\/(2\/8). Suppose q + 0 = o + m, 3*o = 4*m + 122. Does 17 divide o?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 4458?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -57*b + 3*b + 6*b**2 - 49*b + b**2 + 9*b to the form x*b**2 + n + z*b and give x.\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*s + 6*s + 3*s)*(-2*s**3 + 2*s**3 - 2*s**3) + (s - 3*s + 4*s)*(4*s**3 + 4*s**3 - 5*s**3) + 0 + s**4 + 0.\nAnswer: -7*s**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -22 + 26. Determine w so that w**2 - 4 - 5*w**2 + w**4 - 4*w**3 + 7*w**2 + 0*w**i + 4*w = 0.\nAnswer: -1, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 111 - 61. Is o a multiple of 7?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of -28, 24, 188, 518, 1068, 1892, 3044, 4578?\n\"Answer: 9*q**3 + 2*q**2 - 17*q - 22","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 2236 divided by -5902?\nAnswer: -86\/227","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0.2 in -4, -1.1, -5, -0.0292?\nAnswer: -0.0292","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is u in 4*u**2 - 1372*u - 2760 = 0?\nAnswer: -2, 345","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 5 + (0 + sqrt(300))*-2 + (sqrt(300)*2)**2*4 + (0 + -1*sqrt(300)*2 + 5)**2.\nAnswer: -220*sqrt(3) + 6030","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (r\/(r\/(r*r\/(r**0\/r)*r*r*r)))**(32\/7)\/(r**1)**(-10\/3)*(r\/r**9*r*r*r**(-2\/15)\/r)**(-5) assuming r is positive.\nAnswer: r**(465\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (-22)\/77 + 74\/14. Suppose z*c = 144 + 76. Suppose 0 = 5*a - 10, -2*i - 4*a = i - c. What are the prime factors of i?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(d) = -d**3 - d**2 + 2*d + 82. Let g(p) = p**3 + 3*p**2 - 5*p - 165. Let k(s) = -2*g(s) - 5*o(s). What is the derivative of k(b) wrt b?\nAnswer: 9*b**2 - 2*b","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*v + 4*k - 2*k - 12, 3*v = -5*k + 24. Let h(t) = -1 - 2*t + v*t**2 - 2 - 2*t**2 - 3*t. Is 11 a factor of h(-4)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: 58439 divided by 697\nAnswer: 58439\/697","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: 3\/(((-9)\/6)\/((-6)\/3))\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Express 2 - 12 - 3*j**2 + 4*j**2 as u*j + m + t*j**2 and give t.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3 = 3*g + 5*r, -5*g - 5*r + 3 = -2 for g.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let o be 10 + -3 + 0 + 2. Let x = 5.4469 + -9.4469. Let q = -0.2 + 0.4. Which is the nearest to q? (a) 0.1 (b) o (c) x\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 1.3 + -1.3. What is the nearest to -0.2 in -0.3, b, 5\/3?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((f\/f**(5\/3))\/f**(-4\/7)*f**(-5)*f**(2\/9))**(2\/7) assuming f is positive.\nAnswer: f**(-614\/441)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in 6, -14\/67, 5, 2\/3?\nAnswer: -14\/67","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -2 - 36. Let q(m) = 18*m - 18. Calculate the remainder when q(4) is divided by -3*1\/6*h.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -49*y + 2*y + 80*y as w*y + f and give w.\nAnswer: 33","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in -1\/4, 0.16, -5\/3, 2, 0?\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence aaa when three letters picked without replacement from uauuaauuuaauu?\nAnswer: 5\/143","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let h be 2*(-8)\/4 - -26. Let g = h - 18. Suppose -3*a = -3*y - 14 - g, -y = a + 2. Solve -3*v - 3 = -a*v for v.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -36*l**3 - l + 38*l**3 - 3*l**2 + 2*l in the form u + c*l**2 + a*l + w*l**3 and give c.\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 22*t - 18*t = -5*h + 52, -4*h = -4*t + 88. What is the remainder when 464 is divided by t?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 201 and 268.\nAnswer: 67","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let v(u) = u**2 + 4. Let l(i) = 2*i**2 + 9. Let t(g) = -4*l(g) + 9*v(g). Let q(n) be the third derivative of -n**5\/12 + 5*n**4\/24 + 339*n**2. Determine t(q(b)).\nAnswer: 25*b**4 - 50*b**3 + 25*b**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.1 plus -11.69291?\nAnswer: -11.59291","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -1932*i**2 + 6729 wrt i.\nAnswer: -3864*i","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (-6)\/(8 + -2) + 6. Suppose z*n = q + 3309, 0*n - n + 658 = -4*q. Is n prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_test"},"subset":"dm_maths"} +{"text":"Question: Are -204 and -18\/25 equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -6 - -8. Suppose -8 + 28 = 4*d. Suppose 0 = -i*k + d*k + 3*f - 9, 4*k - f = 2. Solve -2*w - 5 + k = 0 for w.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(i) = -19*i + 33. Let u(k) = -200*k. Let n(f) = 57*f. Let o(j) = -7*n(j) - 2*u(j). Calculate p(o(a)).\nAnswer: -19*a + 33","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve 324*y + 1104 + 3108 = 0 for y.\nAnswer: -13","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 396 and 7934751.\nAnswer: 31739004","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*k + 21*m - 20*m + 5 = 0, k - 15 = 3*m. Suppose 3*f = k, 5*f = -0*s - 2*s + 5940000. Round s to the nearest one hundred thousand.\nAnswer: 3000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(a) be the first derivative of -34*a**5\/5 + 33*a**2\/2 + 7. Find the second derivative of n(x) wrt x.\nAnswer: -408*x**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(z) = -5041*z**2 + 144*z + 1. Let d = 450 - 454. Let k(v) = -15123*v**2 + 433*v + 4. Let r(s) = d*k(s) + 14*x(s). Find j such that r(j) = 0.\nAnswer: 1\/71","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 623958521 - 623960149.2410048. Let f = r - -1642.241. Let v = 14 - f. What is v rounded to six decimal places?\nAnswer: 0.000005","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*v + 4*v = -5*k + 727, -718 = -4*v - 2*k. Suppose x = -3*x + 5*u + v, 0 = 5*x + 2*u - 239. Suppose 3*n - 31 - x = 0. What are the prime factors of n?\nAnswer: 2, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 2975 + -2971. Let n be 4*5\/(60\/(-21)). Let p = n - -20. Solve h*v - 2*k = -14, 5*v + 12 + p = 4*k for v.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 40465190 rounded to the nearest one million?\nAnswer: 40000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) 0.3 (b) -19 (c) -0.5 (d) -5 (e) 0.4 (f) -1\/7 (g) -2\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let s(a) be the first derivative of -7\/2*a**2 + 5\/3*a**3 + 0*a - 4. Find the second derivative of s(p) wrt p.\nAnswer: 10","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 13781901 is divided by 600?\nAnswer: 501","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is -40.819 rounded to zero dps?\nAnswer: -41","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let w(c) = -3*c - 25. Suppose -4*m - 9 = -i, -5*m - 18 = 3*i + 23. Let v be w(i). Let u(r) = r - 1. Calculate u(v).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(j) be the first derivative of -j**6\/6 + 33*j**5\/5 - 147*j**4\/4 + 199*j**3\/3 - 42*j**2 + 2070. What is m in n(m) = 0?\nAnswer: 0, 1, 3, 28","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth biggest value in -50, 2\/17, -5, 2\/9, 1\/2?\nAnswer: -50","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:34 PM and 10:07 PM?\nAnswer: 153","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Determine a so that 4*a**5 + 187612*a**4 + 10122700*a**3 + 155362084*a**2 + 505979200*a + 468490000 = 0.\nAnswer: -46849, -25, -2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve 60*z + 58*z + 24 = 114*z + 4*j, 34 = -4*z + 6*j for z.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -17989*-0.19.\nAnswer: 3417.91","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Put -0.3, 128, -0.4, -0.2 in ascending order.\nAnswer: -0.4, -0.3, -0.2, 128","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let b be ((-1 - -9)\/(-72))\/((-4)\/(-15)). Let t = b - -41\/156. Sort t, -1\/5, 1, -5 in increasing order.\nAnswer: -5, -1\/5, t, 1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (1 - 1 + 2*n)*(3 + 3 - 4) - 2*n + 2*n - n - 27*n + 31*n - 26*n + n + 4*n - 3*n + (3*n - 4 + 4)*(-1 - 1 + 3).\nAnswer: -14*n","meta":{"dup_signals":{},"source":"polynomials__expand_test"},"subset":"dm_maths"} +{"text":"Question: Simplify 6*(sqrt(450)\/sqrt(10) + 5 + 3)*5.\nAnswer: 90*sqrt(5) + 240","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*n + 32 + 30 = 0. Let b be 6948\/208 - (-110)\/(-715) - 3. Is b smaller than n?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t be 3\/(-12) - 3\/4. Let f = 3 - t. Let b be (-9)\/8*(-7)\/(-21). What is the third biggest value in f, b, 2, -1\/4?\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 260 divided by -5879.\nAnswer: -260\/5879","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 3 - 3 + 17*z**2 - 26*z**2.\nAnswer: -9*z**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence dfg when three letters picked without replacement from {f: 2, r: 2, g: 4, d: 3}.\nAnswer: 4\/165","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: -7736252 divided by 4\nAnswer: -1934063","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 35\/(((-5375)\/258)\/25)?\nAnswer: -42","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is 3456487 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 65766513 to the nearest integer?\nAnswer: 404","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Does 51 divide 2193?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 v, 2 h, and 1 i when four letters picked without replacement from vhhhihvvihvvihihv.\nAnswer: 18\/85","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve -11304 = 2001*a - 26185 - 40689 - 118517 for a.\nAnswer: 87","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let b(v) = 1724*v - 26522. Give b(15).\nAnswer: -662","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let r(h) = 54*h**2 + 45*h - 36. Let l(k) = k**2 + k - 1. Let t(w) = 90*l(w) - 2*r(w). What is the derivative of t(s) wrt s?\nAnswer: -36*s","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 235888057 and 142?\nAnswer: 71","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 90*s = 1382 - 7322 for s.\nAnswer: -66","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*m**2 - 2336*m + 682112.\nAnswer: 2*(m - 584)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -40 + 39 + 33339*k - 5466*k.\nAnswer: 27873*k - 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 e and 2 f when three letters picked without replacement from effeefefeeeeeeef?\nAnswer: 11\/56","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -191 = -103*i + 1045. Let m = 48 + -48.5. Let y = -73\/3 + 24. What is the third smallest value in y, i, m?\nAnswer: i","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(b) = -3*b**2. Let p(q) = q**2 - 98*q + 468. Let s be p(5). Let t(f) be the second derivative of 0*f**2 + 1\/3*f**s + 0 - 6*f. Determine t(u(a)).\nAnswer: -6*a**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve -n**3\/3 - 12689*n**2\/3 + 139682*n\/3 - 76200 = 0.\nAnswer: -12700, 2, 9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -3, -23, -63, -129, -227, -363, -543, -773?\nAnswer: -1059","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -20510*k**3 - 267*k**2 + 267*k**2.\nAnswer: -20510*k**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 390 and 52197366?\nAnswer: 78","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {c: 1, h: 1, g: 10, r: 3}. Give prob of sequence crgr.\nAnswer: 1\/546","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 394 minutes after 2:58 AM?\nAnswer: 9:32 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 1.9894 - 0.8444. Round g to one dp.\nAnswer: 1.1","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out 160231915 - -381383.\nAnswer: 160613298","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Factor c**3\/2 - 8*c**2 + 14*c.\nAnswer: c*(c - 14)*(c - 2)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Round -7.713 to 1 dp.\nAnswer: -7.7","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-2*v + 1328 - 1326 + 926)*(-228 - 236 + 466 + 50*v)*(5*v - 5*v - v**2) to the form j*v**2 + c + d*v**3 + g*v**4 + z*v and give g.\nAnswer: 100","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 801 and 3294.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.307008386 to three decimal places.\nAnswer: -0.307","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Sort -8, -1\/16, -23996 in decreasing order.\nAnswer: -1\/16, -8, -23996","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 3601*a*f**2 + 42*a*f - 7*f**2 + 9934 wrt a.\nAnswer: 3601*f**2 + 42*f","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: 334.538385 + 130\nAnswer: 464.538385","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 840114 divided by 280038.\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose d + 4*d - 10 = 0. Suppose -4 = w + d. Let f = 41 + w. Solve 0 = -v + 4*z - 13 + f, -2*v - 4*z - 16 = 0 for v.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(m) = -1651*m + 6870. Determine d(4).\nAnswer: 266","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Divide -393 by -131.\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 6*j - 1 + 19. Suppose 5*l + 14 + 6 = 0. Sort l, j, -8.\nAnswer: -8, l, j","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(j) be the second derivative of 4*j + 0*j**3 - 7\/2*j**2 + 0 + 1\/20*j**5 - 1\/12*j**4. Calculate h(0).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c be 44\/10 + 6\/10. Suppose 3*m = 3*o - 8*o + 409, -5*m + c*o = -735. Is m a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 9217.986t in micrograms?\nAnswer: 9217986000000000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let n(l) = -l - 7. Is 2 a factor of n(-21)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (z**(2\/3)*z)**19\/((z\/(z**(-2\/17)\/z))\/(z\/z**(-3\/8))) assuming z is positive.\nAnswer: z**(12617\/408)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: -10*7\/315*9\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in 301.3, 2\/3, -4?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 112143100?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -2469\/16 or -153?\nAnswer: -153","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Factor -f**4 - 2*f**2 + 7*f**3 + 2*f**3 - 2*f**3 - 4*f**3.\nAnswer: -f**2*(f - 2)*(f - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -m**3\/2 + 40517*m**2\/2 - 410305511*m\/2 - 2052540605\/2.\nAnswer: -(m - 20261)**2*(m + 5)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:38 PM and 7:55 PM?\nAnswer: 77","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 1699110 and 333558?\nAnswer: 361910430","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 69225131?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_test"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 x and 1 g when two letters picked without replacement from fvgwvxd.\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is 78427 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: 39287612 divided by -25396\nAnswer: -1547","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 121 = 3*m + 4*n, -6*m = -m + n - 213. Let g = m + -30. Let x = g + -6. What is the units digit of x?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*n**3 + 358085*n**2 - 358080*n = 0. What is n?\nAnswer: 0, 1, 71616","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((b**(-4)\/b)\/b)**(-2)*(b**1\/b)\/b*b**(-8))**(-17) assuming b is positive.\nAnswer: b**(-51)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 46851?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let f(t) = -11*t**2 + 25*t + 2. Suppose 0 = -3*x - 27 + 135. What is the least common multiple of x and f(2)?\nAnswer: 72","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(c) = 75*c. Let k(b) = -2280903*b**2. Determine w(k(f)).\nAnswer: -171067725*f**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Add -528082 and 2.\nAnswer: -528080","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 6524 and 756?\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 4 minus -1135.8?\nAnswer: 1139.8","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -v - 2 = 4*o, 4*v - 30 = -3*o + 6*o. Suppose -3*r - 2*t = -t - 7, -3*t - 7 = 2*r. Let h = v - r. Does 2 divide h?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(76) + (sqrt(76) - 4*sqrt(76)*-3 - sqrt(76) - sqrt(76)) + sqrt(76) + -4*(sqrt(76) + sqrt(76) + -2*sqrt(76)))\/(-1*sqrt(400) + sqrt(12)\/sqrt(3)*6).\nAnswer: -13*sqrt(19)\/4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of h**4 - 1523*h**3 - 3211*h.\nAnswer: 12*h**2 - 9138*h","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of 3194551, 6389101, 9583649, 12778195, 15972739?\n\"Answer: -n**2 + 3194553*n - 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -0.8 - -0.5. Suppose -2*s - 6 = -2*x, 7*x + 2*s = 3*x - 12. What is the closest to x in g, -2\/19, 0.1?\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(k) = -k**2 - 4*k - 1. Let p be j(-3). Suppose -p*g + 1 = -21. Is g even?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 65790 + 70\/28*(-16)\/(-60)*-3?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 248 - 93. List the prime factors of j.\nAnswer: 5, 31","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -2\/5 in -5, -1\/17, -3?\nAnswer: -1\/17","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1333669 is divided by 85.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 5715983247 to the nearest integer?\nAnswer: 75604","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is 13529 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Convert -3c2c (base 13) to base 16.\nAnswer: -21d1","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 86*x - 8748 + 3072 for x.\nAnswer: 66","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {t: 11, w: 3}. Give prob of sequence wtt.\nAnswer: 55\/364","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -22.1 - -22. Sort 1\/3, a, 1\/9, -4\/7.\nAnswer: -4\/7, a, 1\/9, 1\/3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 3\/(-1)*80\/30?\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let q(t) = -t**3 - 2*t**2 + 12*t - 17. Let h be q(3). Let u(c) = -c**2 + 9*c + 4. Let k be u(5). Let j = k + h. What is the closest to 3\/2 in 0.3, j, 3?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many micrograms are there in 34\/5 of a milligram?\nAnswer: 6800","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let z(q) = q**2 - 38*q + 192. Let n be z(32). Put -4, -33, n, 4 in ascending order.\nAnswer: -33, -4, n, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 140334 (base 5) to base 3.\nAnswer: 21211211","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (-5)\/4 - 25\/(-100). Let x be (-296)\/(-16) + (9\/(-6))\/n. Suppose -132 = x*z - 23*z. Does 3 divide z?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of -1261, -2602, -3945, -5290?\n\"Answer: -v**2 - 1338*v + 78","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let g be 2\/7 - (-2085)\/(-21). Let t = -173 - g. Let n = -227\/3 - t. Which is bigger: -3 or n?\nAnswer: n","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 13395890143 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Does 220 divide 86460?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8 = -4*f + 5*x - 3, -3*f = -5*x - 5. Let j = 5 + f. Let d(y) = 4*y**2 + j*y - 4 - 8*y**2 + 3*y**2. Determine d(6).\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in -0.4, -2\/9, -1, -2\/13, 14.8?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Express -4 + 16 + 4*t**3 - 5 - 2 - 6 + 25*t**2 as p*t + n*t**3 + a + b*t**2 and give b.\nAnswer: 25","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {n: 7, h: 1, z: 1, s: 6, u: 2}. What is prob of picking 1 s, 1 n, and 1 z?\nAnswer: 21\/340","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is 134 - -8?\nAnswer: 143","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:46 PM and 1:22 AM?\nAnswer: 576","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8*o - 9692 + 756 = 0. What is the units digit of o?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 2039 to the power of 1\/2, to the nearest integer?\nAnswer: 45","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 144*n - 214*n + 420 for n.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 20\/((-520)\/39)*(-32)\/(-12)?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -176 + 16*h**3 + 347 - 2*h - 173 to a*h**2 + j + i*h + t*h**3 and give j.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let k(z) = 6*z + 1. Let f(w) be the second derivative of -w**7\/1260 - 35*w**4\/12 + w**3\/3 + 56*w. Let t(r) be the third derivative of f(r). Give k(t(v)).\nAnswer: -12*v**2 + 1","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 20097 and 4158?\nAnswer: 120582","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:26 AM and 4:17 AM?\nAnswer: 111","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*w - 2551 = 6*p - 2536, -5*p = -4*w + 17 for w.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 310 - 215. Suppose 0 = -h + 3*c + 35, -3*h + d = c - 5*c. Calculate the remainder when 85 is divided by h.\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in 245\/2, -2491.16, 0.5?\nAnswer: -2491.16","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let p be ((-8)\/(-48))\/(12\/(-252)) - -1. Let v = 2 - 0. Suppose -m - 5 = v*h - 0*h, -5*h - 12 = 2*m. Do p and h have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.0000171016133 rounded to 7 decimal places?\nAnswer: -0.0000171","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 11*t + 2 = 12*t. Suppose 4*m = t*s + 64, 3*s + 109 = -m - 1. List the prime factors of -1 + (-3 - -7) - s.\nAnswer: 3, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(a) = -2360*a. Let t(m) = -m. Calculate t(z(i)).\nAnswer: 2360*i","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let c(l) = -l**3 + 5*l**2 - 11*l + 13. Give c(3).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 18606362?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let q(x) = -54*x - 5. Let t(w) = -w**3 - 3*w**2. Let f be t(-3). Suppose 3*g - g + 8 = f. Is q(g) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 41 is divided by 17?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 957 + 2200.\nAnswer: 3157","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 2326358 (base 9) in base 7?\nAnswer: 13456055","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Product of -40 and -1316.6.\nAnswer: 52664","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Add -1 and 28038017.\nAnswer: 28038016","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Determine k so that -k**3 - 130275809*k**2 - 4242946537513215*k + 4242946667789025 = 0.\nAnswer: -65137905, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2 = 2*g + 2 for g.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from zsvsvzzsssszzmsv. What is prob of sequence vzm?\nAnswer: 1\/224","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 1*-1*((2*sqrt(171))**2*-5 - sqrt(171)).\nAnswer: 3*sqrt(19) + 3420","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let j be 40\/16*32\/10. Calculate the greatest common divisor of 12 and j.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Product of -12467 and -16.\nAnswer: 199472","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(105)*6*2)\/sqrt(3))\/(sqrt(63)*4*3) + 4.\nAnswer: sqrt(5)\/3 + 4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let d(y) = -713*y**2 - 5*y**3 + 11*y**3 - 9 + 9*y**3 + 9*y + 704*y**2. Suppose -60 = -30*l - 0*l. Let i(q) = 4*q**3 - 2*q**2 + 2*q - 2. What is l*d(t) - 9*i(t)?\nAnswer: -6*t**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Convert 299.653 kilograms to tonnes.\nAnswer: 0.299653","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 9766311?\nAnswer: 3, 3255437","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((s**(1\/2))**(5\/7))**(17\/5) assuming s is positive.\nAnswer: s**(17\/14)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let v be 2\/6 + (-11)\/33 - -3. Suppose v*z - 26532 = 788106. Let f = z + -71546. What is f rounded to the nearest 1000000?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 641 minutes before 2:58 PM?\nAnswer: 4:17 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 94\/7 + (-56 - (-25 + -17))?\nAnswer: -4\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -5*g - t + 78, 2*g + 54 = 6*g + 5*t. Solve 3*c - g = -c for c.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(i) = -i**3 + 3*i**2 + 3*i - 4. Let t(r) = -2*r**3 + 4*r**2 + 4*r - 5. Determine 3*d(p) - 2*t(p).\nAnswer: p**3 + p**2 + p - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let z(g) be the third derivative of 0*g**3 + 0*g + g**2 + 1\/24*g**4 + 0. Give z(1).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -95*u - 520 = 35*u. What is the third biggest value in 3, 0.21, u?\nAnswer: u","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find w, given that -3*w**5\/2 - 3*w**4 + 249*w**3\/2 + 6*w**2 - 366*w + 240 = 0.\nAnswer: -10, -2, 1, 8","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Sort -903, -5, 26, -1 in descending order.\nAnswer: 26, -1, -5, -903","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (-1)\/((-6)\/(-24)) - -1*3. Which is smaller: w or -5?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 2950.6572 months in centuries?\nAnswer: 2.458881","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 12243 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: Let k(r) = -r + 10. Let m be k(9). Let l = -120.6 + 121.183. Let d = 0.017 + l. Is m <= d?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 4*m - 3*f + 19, -2*f = 2*m + 6 - 0 for m.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 159135887.\nAnswer: 19, 2633, 3181","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -0.31 + -26.09. Let g = -26 - z. Let q = -1.99 - -2.19. What is the third biggest value in g, q, -0.4?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(t) = -t**3 - 7*t**2 - t + 10. Let s be x(-7). Let w(y) = -y**3 - y**2 + 4*y - 20. Let a be w(-6). Calculate the greatest common factor of a and s.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 7136945026 to the power of 1\/7, to the nearest integer?\nAnswer: 26","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Sort -95215, 0, 3, -5, -18 in increasing order.\nAnswer: -95215, -18, -5, 0, 3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Work out 9 * -21.\nAnswer: -189","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -37235*n + 36007*n - 58944 for n.\nAnswer: -48","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let y(f) = f. Let h be 4*4\/56*7. Let g(d) be the third derivative of 0 + 7\/24*d**4 + 5*d**h + 0*d + 0*d**3. What is g(y(c))?\nAnswer: 7*c","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of (28\/16 + 5411\/(-4))\/(1\/(-4)).\nAnswer: 2, 7, 193","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 6*y = 22*y - 80 for y.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is twenty-two fifteenths of a hour in minutes?\nAnswer: 88","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Does 21 divide 1911?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: 1\/10 + 8*(-2)\/(-32)\nAnswer: 3\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 5284 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 f(v) = 25*v**3 + 9*v - 4. What is the units digit of f(3)?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (v**(1\/10)\/v*v\/v**(-9))**(-42) assuming v is positive.\nAnswer: v**(-1911\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let y(j) = j**2 - 51*j - 5. Let d be y(-4). Let v = -212 + d. Let p be (0 + -10)*(-1)\/1. Solve 5*s = p, 5*s - v = 4*w + 15 for w.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: -2788522914923 - -0.63\nAnswer: -2788522914922.37","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let m(k) be the third derivative of -k**7\/105 + 11*k**5\/60 - 3*k**2. Find the third derivative of m(y) wrt y.\nAnswer: -48*y","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 71076482 or -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of -21, -49, -97, -165, -253, -361?\n\"Answer: -10*d**2 + 2*d - 13","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Does 871 divide 1770731677?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 1086 to the power of 1\/2, to the nearest integer?\nAnswer: 33","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let z(q) = q**2 + 2*q - 4. Suppose -13 + 10 = m. Let s = -6 - m. Give z(s).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 150 - 149. Sort y, 5, -1 in descending order.\nAnswer: 5, y, -1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 522221?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of 837278, 1675571, 2513864?\n\"Answer: 838293*d - 1015","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in -0.5, 508, -4?\nAnswer: 508","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1884 is divided by 16?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is 11 a factor of 814?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 5806.565 litres?\nAnswer: 5806565","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*c = -403 + 93. List the prime factors of c.\nAnswer: 2, 31","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 121 + -121. Suppose -5*o - 3*f + 261 = 0, 2*f = -u - 6. Is o a multiple of 9?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 161197?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -16.9 - -17. Let h be ((-81)\/5)\/3*20\/6. Put v, h, -0.5, 0.5 in descending order.\nAnswer: 0.5, v, -0.5, h","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 36577\/704 + -20735263\/404800. Let g = z + -3\/575. Determine h so that 0*h**4 + 4\/11*h**2 - 4\/11 - 2\/11*h**5 + g*h**3 - 6\/11*h = 0.\nAnswer: -1, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -0.097 + 0.667. Let q = f + -1.61. What is q rounded to one decimal place?\nAnswer: -1","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 7\/14*10*1?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let u(r) = 8*r**3 - 116*r**2 + 6*r. Let c(l) = -l**3 - l. Calculate -7*c(f) - u(f).\nAnswer: -f**3 + 116*f**2 + f","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Divide -101479 by -2071.\nAnswer: 49","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let n(x) be the second derivative of x**5\/70 + x**4\/2 + 95*x**3\/21 + 75*x**2\/7 - 3166*x. Factor n(w).\nAnswer: 2*(w + 1)*(w + 5)*(w + 15)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(f) = -f**3 + 5*f**2 + 2*f - 16. Let o(b) = 22*b + 1191. Let w be o(-54). What is n(w)?\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 1 - 625*k**2 - 5*k - 619*k**2 - 8*k**3 + 1249*k**2 to the form a*k**2 + g*k**3 + i*k + r and give i.\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 2 (base 14) in base 7?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -9721 + 9711. Which is the closest to 0.1? (a) -1\/41 (b) u (c) -3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:23 AM and 3:48 PM?\nAnswer: 505","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 2344439*h*o - 58*h - 290702396*o with respect to h.\nAnswer: 2344439*o - 58","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 b and 1 l when two letters picked without replacement from {b: 4, n: 2, l: 3}?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -7264 + 7264.0000693. What is p rounded to 6 decimal places?\nAnswer: 0.000069","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -12 in 0.5, -0.2, -372, -6\/7, 4\/3?\nAnswer: -6\/7","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let m(l) = -l**2 + 21*l - 9. Calculate m(18).\nAnswer: 45","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 2344952 and 38105470.\nAnswer: 152421880","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -69\/70 and 5\/118104.\nAnswer: 590520","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let i(g) = -375*g + 16. Let v be i(10). Let r = v + -84266. Round r to the nearest ten thousand.\nAnswer: -90000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 16 = 3*m + m, 3*r + 2*m - 11 = 0. Let g(z) = z**3 + 3*z - 2. Let i be g(r). Suppose -2*p - i*p = c - 89, 0 = -c + p + 74. What is the units digit of c?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -176 + 316 + 12*w**2 - 161 + (4*w + 0*w - 5*w)*(-3*w - w + 5*w).\nAnswer: 11*w**2 - 21","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let o(g) be the second derivative of 5\/6*g**3 + 0 - 3\/2*g**2 - g. Suppose -43*q = -x - 38*q + 17, 0 = 5*x - q - 13. Give o(x).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(g) = g + 1. Let k = 924 - 919. Let i(n) = -2*n - 3. Calculate k*i(c) + 15*f(c).\nAnswer: 5*c","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) -20.3 (b) 2 (c) 0.2 (d) 3 (e) -0.3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 1\/10 of a second in milliseconds?\nAnswer: 100","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (r\/(r\/(r\/(r\/(r\/r**(-25))))))\/(r*(r\/(r**(-2\/47)\/r))\/r) assuming r is positive.\nAnswer: r**(1126\/47)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 979?\nAnswer: 11, 89","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 55*v**3 - 254*v**3 + 24*v**3.\nAnswer: -175*v**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Divide 433944 by 61992.\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: 280+-3085593.272\nAnswer: -3085313.272","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2044869*l - 2044872*l - 180 = 21*h, 2*h + 12 = l for l.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 206 + -205. What is the third smallest value in i, -0.1, -5?\nAnswer: i","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -2 - (33 - 30\/115*23).\nAnswer: -29","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: -558 divided by 186\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let s(u) = -3*u - 1. Let d(o) = -o + 3. Let m be d(3). Suppose 2*j + m*j + 18 = 0. Is s(j) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -k**2 + 107*k - 106.\nAnswer: -(k - 106)*(k - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is -165897 + 440243841?\nAnswer: 440077944","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let k(q) = -q**2 - 2*q + 7. Let a be k(-3). Solve -1 = -c - a for c.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 374294308 by -1.\nAnswer: -374294308","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 29\/576 and 61\/2523.\nAnswer: 484416","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (w**(-9)*w*w*w**(-2\/9)\/w)**(5\/9) assuming w is positive.\nAnswer: w**(-370\/81)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -122? (a) -2\/3 (b) -30892 (c) -4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 87*i**2 - 73*i**2 - 56*i**2 to r*i + h*i**2 + f and give h.\nAnswer: -42","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Round 269650712 to the nearest 10000.\nAnswer: 269650000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -0.1? (a) 5160 (b) -5 (c) 0.1424\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -14 = -4*w + l + 4, 5*w = 5*l + 15. Let u(f) = -w*f - 3*f + 11*f. Let c(q) = -2*q**2. Give c(u(g)).\nAnswer: -18*g**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 4722075?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 93 + -96 - -76 - 47.\nAnswer: 26","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = l + 4*j - 2 + 4, -4*j = 2*l - 16. Let o be -3 - (122\/l + 8\/36). Is (-204)\/(-9) + o\/15 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -43943, -43933, -43923?\nAnswer: -43913","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let y(h) = -15*h**2 + 172*h - 504. Calculate y(6).\nAnswer: -12","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: 2d2 (base 14) to base 2\nAnswer: 1001000000","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Put -0.3, -2, 524\/9 in increasing order.\nAnswer: -2, -0.3, 524\/9","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 50 = 6*a - a. Let g = 13 - a. Let u = -8 + g. Let k(w) = -2*w - 6. Calculate k(u).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 453 minutes after 1:03 AM?\nAnswer: 8:36 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 2 and 16.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (1\/2 - 1)\/(1\/636). Let d = -315 - b. Solve -4*p - c + 8 = -10, -2*p + 16 = -d*c for p.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 18537517?\nAnswer: 23, 557, 1447","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -71 - -106. Suppose -5*p = 3*y + 2*y - d, -5*p = y - 51. Suppose 6*h + 1 = -p. Put -0.2, h, 10 in decreasing order.\nAnswer: 10, -0.2, h","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred millions digit of 679284044?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 14 + -16. Let m = 20 - 19. Let l be m\/(-2) + 20\/30. Put l, r, 2 in descending order.\nAnswer: 2, l, r","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-6)\/4*((-451)\/41)\/(-33)*62.\nAnswer: -31","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in n + 29 + 4*n - 2*n.\nAnswer: 3*n + 29","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: How many years are there in 6.133138 decades?\nAnswer: 61.33138","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Sort 7, -13, -3956, -1, 4.\nAnswer: -3956, -13, -1, 4, 7","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 25\/4 of a meter in centimeters?\nAnswer: 625","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -v = -4*m - 3, 5*m = -2*v + 52 - 7. Suppose 3*g = -7 + 22. Suppose -g*a + 0 = -v. List the prime factors of a.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -47 - -15.77962772?\nAnswer: -31.22037228","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((d*d**(-7)*d)\/d)\/((d*d**(-2)*d*d*d)\/d))**(9\/4)\/((d*d**(-1))**(-26)\/(d**(-2\/3))**(18\/7)) assuming d is positive.\nAnswer: d**(-489\/28)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is -11016740694.4 + -7?\nAnswer: -11016740701.4","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 33 - ((9 - 5) + 8) - 2?\nAnswer: 19","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 1796 to the power of 1\/2, to the nearest integer?\nAnswer: 42","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 646 minutes before 9:35 AM?\nAnswer: 10:49 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let v(k) = 6*k + 0 - 5*k + 2. Let p be v(-4). Let g be p*(1\/2)\/1. Let a(d) = 6*d**2 - 2*d - 1. Give a(g).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 10435245 a multiple of 18?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 719.9 - 691. Let u = 24.4 - -1.6. Let j = i - u. What is j rounded to zero decimal places?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 66052?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 4 - -1. Let j = 2.9 - 3. Which is the second biggest value? (a) 0.2 (b) j (c) z\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2249*g + 2257*g - 1970*g**3 - 4506*g.\nAnswer: -1970*g**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let g(q) = 7*q + 1. Let u be g(-1). Let y be u\/(-27) - 25\/(-9). Let d(h) = -h + y - 3. Let i(f) = -6*f**2. What is d(i(z))?\nAnswer: 6*z**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 45403 - 27099. What is the ten thousands digit of b?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -559656565, -559656563, -559656561, -559656559?\nAnswer: -559656557","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 6\/(-4) - (406\/10)\/((-22)\/55) is divided by 42?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(i) = i**3 + 38*i**2 + 31*i - 161. What is the remainder when k(-37) is divided by 9?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from ttxxtttdtttttxtt. Give prob of sequence tt.\nAnswer: 11\/20","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 267, 487, 855, 1371, 2035?\nAnswer: 2847","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -2346 - -2364. Calculate the lowest common multiple of x and 2.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((r**3\/(r\/r**(-1\/4)))\/((r*r**(2\/3))\/r*r)**(-18))**(-2\/131) assuming r is positive.\nAnswer: r**(-127\/262)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -3068, -3153, -3250, -3359, -3480, -3613, -3758?\nAnswer: -3915","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 101 = -77*t - 977 for t.\nAnswer: -14","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: 0.3 times -6127.578\nAnswer: -1838.2734","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from skkkkkkskknkkk. What is prob of picking 1 n, 1 k, and 1 s?\nAnswer: 11\/182","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Add -3.24 and -0.3.\nAnswer: -3.54","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in -3, 0.02, -0.7?\nAnswer: 0.02","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of -13, -25, -23, -1, 47, 127, 245, 407?\n\"Answer: j**3 + j**2 - 22*j + 7","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of -765, -3076, -6929, -12324, -19261, -27740?\n\"Answer: -771*a**2 + 2*a + 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Sort -5, 4, -19267, 2, 3, -34, -2 in decreasing order.\nAnswer: 4, 3, 2, -2, -5, -34, -19267","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 217 - 38. List the prime factors of l.\nAnswer: 179","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(n) be the second derivative of 322*n**6\/15 - n**5\/10 - 11*n**4\/6 - 2*n**3\/3 + 64*n. What is the third derivative of c(j) wrt j?\nAnswer: 15456*j - 12","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Subtract -102552 from -73914.2.\nAnswer: 28637.8","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.5 minus -407297.5?\nAnswer: 407298","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 0.4017 - 0.40158788. Round o to six decimal places.\nAnswer: 0.000112","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(k) = -20407 + 40806 - 20398 - 8*k. Give o(-4).\nAnswer: 33","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 82699 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 85\/522 and 25\/1044?\nAnswer: 1044","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Factor -4\/3*v**3 + 14 + 10*v**2 - 68\/3*v.\nAnswer: -2*(v - 3)*(v - 1)*(2*v - 7)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1280*i = -620*i - 610*i + 300 for i.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 2413*0.5.\nAnswer: 1206.5","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -55*w**2 + 15*w**2 - 112366*w + 112369*w + (0*w - 2*w + 3*w)*(1 + 6*w - 1) - 3*w**2 + 3*w**2 + w**2 to t*w**2 + x*w + o and give t.\nAnswer: -33","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 66 and 1806.\nAnswer: 19866","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Convert -3 (base 10) to base 9.\nAnswer: -3","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let y(p) = p - 3. Let s be y(5). Let m be (-152)\/(-6) - 14\/42 - 0. Let z = m - 25. Put z, 5, s in decreasing order.\nAnswer: 5, s, z","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 96*c = 99*c + p + 10, 5*p + 11 = -2*c for c.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Convert -1477 (base 8) to base 3.\nAnswer: -1010210","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -16*k**4 + 6*k**3 + 155675*k**2 + 5*k + 10474901.\nAnswer: -192*k**2 + 36*k + 311350","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Work out 46231 - 9.8.\nAnswer: 46221.2","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: -1782247948126+-1\nAnswer: -1782247948127","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 932996?\nAnswer: 2, 41, 5689","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 29224559.\nAnswer: 7, 13, 23, 13963","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 15467?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -d = -2*j - 4, 0 = 2*j + 3*j + 5*d - 20. Suppose 0 = 9*p - 6*p + 6. Let b be p - 5\/(5\/(-2)). Is j at least as big as b?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*q - 778 = -790 for q.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 6968 and 970696.\nAnswer: 536","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from oyoobdoyoyyboo. Give prob of sequence booo.\nAnswer: 5\/286","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 42628 to the nearest integer?\nAnswer: 35","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -768 - -771. Suppose 0 = -2*j + 2*l - 12, -2*l + 1 = -3. Put p, j, 5, -1 in decreasing order.\nAnswer: 5, p, -1, j","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -712*n + 703*n - 83700 = 0. Let z = n - -15023. Is z a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 87078687.\nAnswer: 3, 1531, 18959","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -5717 + 15510. Is u prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.0129557 to 4 decimal places.\nAnswer: -0.013","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is 32224307 a multiple of 14?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is (-30)\/36 + 147\/90*1?\nAnswer: 4\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -163 + 111. Let q = -53.1 - v. Let z = q - -1.09999933. What is z rounded to 7 decimal places?\nAnswer: -0.0000007","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(r) = -10*r - 88. Let s be w(-9). Suppose -s*d = 7*d - 2070. Does 17 divide d?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 2*(sqrt(57) + (sqrt(399)\/sqrt(7) - sqrt(57)) + sqrt(57))\/sqrt(3).\nAnswer: 4*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is 103620517 a multiple of 61?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (27\/(-18))\/(6\/(-86))*160\/80?\nAnswer: 43","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 34 = -p - p - 2*r, 0 = -p - 2*r - 13. Let v = 38 + p. Let b = -12 - -80. Calculate the highest common divisor of v and b.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 9 - 60. Suppose 53*i - 8 = 5*h + 51*i, 4 = -4*h + 2*i. Which is bigger: c or h?\nAnswer: h","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 11457 and 1426095?\nAnswer: 603","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose i = 192 - 12. Suppose 4*z - 156 = i. Calculate the remainder when z is divided by 17.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: 1870232 divided by -10276\nAnswer: -182","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1\/(((-360)\/(-4))\/(-10))*15\/(-15).\nAnswer: 1\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let p(r) = 16*r**3 + 2*r**2 + 2*r + 1. Let b be p(-1). Let k = b + 13. Let g be ((-2)\/k)\/(12\/36). Solve -f = 2*f - g for f.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*p = -h + 16, 0 = -p - 0*p + 5*h + 4. Let o be (p + -5)\/1*1. Let c be (0 - (-4)\/(-8))\/o. Is -3\/26 at most as big as c?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 530110 divided by 7?\nAnswer: 75730","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is -23d (base 14) in base 6?\nAnswer: -2023","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 459 minutes after 8:26 AM?\nAnswer: 4:05 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 4 and 112?\nAnswer: 112","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (56 - 192 - 17)*(2 + 2*t - 2)*(1 - 1 - 2) to the form m*t + i and give m.\nAnswer: 612","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (8 - 3 + 1)*(1 - 2 + 2)*(-6*m**2 + 4*m**2 - 20*m**4 - m**3 + 9703*m - 9709*m)*(-1 + 1 + 1) to the form z + p*m**2 + b*m**3 + d*m**4 + i*m and give b.\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange q**4 + 3*q + 2*q**2 - 26 + 0*q**3 + 24 + 0*q**3 to the form y + f*q**2 + h*q**4 + o*q**3 + n*q and give h.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -2355 + 80091\/34. Let f = j + -229\/357. Calculate the common denominator of f and 29\/6.\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 225919202 and 12?\nAnswer: 1355515212","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -4 + 4 + 74*c + 84*c - 159*c.\nAnswer: -c","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose i + 5 + 3 = 2*d, 0 = 2*d - 4*i - 8. Suppose 11*v = 6*v - 85. Let o = 21 + v. Solve -w + 6 = w - d*q, 0 = o*w + 4*q + 12 for w.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is 35 - 33cc4?\nAnswer: -33c8c","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let m(d) = -5*d + 1242. Let v(h) = h**2. Calculate v(m(n)).\nAnswer: 25*n**2 - 12420*n + 1542564","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between 12861870 and -488208?\nAnswer: 13350078","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -65\/48 and -49\/26484.\nAnswer: 105936","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let z(o) = -6*o**2 + 3*o. Let h(i) = 2*i**2 + 4. Let m(w) = -w**2 - 3. Let a(q) = -3*h(q) - 4*m(q). Determine z(a(x)).\nAnswer: -24*x**4 - 6*x**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 36 - 28. What is the third derivative of 5*x**3 + 0*x**2 - j*x**2 - 9*x**3 - 8*x**2 wrt x?\nAnswer: -24","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(c) be the first derivative of -2*c**2 - 68*c - 12. Let l be d(-19). Solve 4*s = 2*t - l - 10, -2*s + 3*t = 11 for s.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z be 2\/7 + 234\/63. Suppose -z*p + 0*r + 32 = -4*r, -5*p + 3*r + 34 = 0. Let a(l) = -7*l**2 + 5*l - p*l. Let i(o) = 2*o. Give i(a(u)).\nAnswer: -14*u**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let z(y) = -y**3 + 28*y**2 + 31*y - 55. Let c be z(29). Solve g + 0*n - 5 = n, -c*n = 3*g - 9 for g.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 246, 557, 928, 1359, 1850, 2401?\nAnswer: 3012","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 192.46 < -3?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is 450374645 a multiple of 19?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 84 - 84.5. Let k = -1\/95 + 58\/95. Sort -3\/7, k, r in ascending order.\nAnswer: r, -3\/7, k","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(n) = -n**2 + n + 3. Let x(k) = -k**3 + 9*k**2 - 7*k - 5. Let w be x(8). Let b be g(w). Let z = b - -3. Solve z = 3*a - 5 + 14 for a.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many litres are there in 0.3212965 millilitres?\nAnswer: 0.0003212965","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let k(c) = c**3 + c**2 - c + 410. Suppose 8*m - 3*m = d, 3*d + 3*m = 0. Let w be k(d). What is w rounded to the nearest 100?\nAnswer: 400","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -472 or 2\/73?\nAnswer: 2\/73","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Expand (88*f - 4 + 17*f + 2)*(0 - 14 - 5).\nAnswer: -1995*f + 38","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Find q, given that q**2\/4 + 5975*q\/4 + 2987\/2 = 0.\nAnswer: -5974, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -724*a**3*r**2 + 4*a**3*r - 55*a**2*r wrt r?\nAnswer: -1448*a**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 0.6 - 0.66. Suppose 120 = -w + 2*w. Let q be -1 + 15\/12 - (-18)\/w. Is q not equal to l?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (16\/(-216) + 0)*3.\nAnswer: -2\/9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is -72 divided by -24?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((12\/(-30))\/((-98)\/(-70)))\/((2250\/(-2709))\/25)?\nAnswer: 43\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 25387 or 25386?\nAnswer: 25386","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.01358050206 rounded to 6 dps?\nAnswer: 0.013581","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 2015 is divided by 42?\nAnswer: 41","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -12 + 18. Let x be 20\/r*(-2 - 1). Is 24\/10*x\/(-4) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(q) = 21*q - 1. What are the prime factors of z(3)?\nAnswer: 2, 31","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.00000903837 rounded to 6 dps?\nAnswer: 0.000009","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 4971735 and 10050.\nAnswer: 49717350","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*b - 2 - 6 = 0, 5*b = -w + 16. Suppose 5*i = 3*i + w. Let p(k) = k**3 - 3*k**2 + k + 2. Let z be p(i). What is the greatest common factor of z and 2?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out -34270051 + -14406.\nAnswer: -34284457","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -0.1 in 0.01, -3, 0.1, 2?\nAnswer: 0.01","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Do -1 and -0.423463977 have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.00000125769 rounded to seven decimal places?\nAnswer: 0.0000013","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 77 - 137. What is the units digit of (-21)\/(-2)*(-400)\/q?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 6078824.\nAnswer: 2, 41, 43, 431","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is -362 divided by -2?\nAnswer: 181","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 116851\/60 - 1946. What is the common denominator of w and 161\/60?\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(l) be the second derivative of -l**6\/120 - 11*l**5\/16 + 29*l**4\/8 - l**3\/6 - 29*l**2 - 449*l + 6. Factor c(w).\nAnswer: -(w - 2)**2*(w + 1)*(w + 58)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 33 = 9*v + 15. Suppose 0 = -v*x - n + 99, n - 97 = -2*x - 2*n. What is the common denominator of x and 17\/20?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 146 + -145.7. Let v = 22 - 26. Which is the smallest value? (a) v (b) u (c) -2\/21 (d) -38\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*o - 1 - 11, 0 = -5*b + 2*o + 7. Let q(c) be the third derivative of 0*c**4 + 0*c**b + 0*c + 0 - 1\/20*c**5 - 4*c**2. Let d(l) = l. What is q(d(w))?\nAnswer: -3*w**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (70 - 52 + 35)*(5*r - 3*r + 0*r) + 5 - 5 + r + (3 + r - 3)*(2 - 3 + 0) + 2*r + 4*r - 3*r to the form q*r + y and give q.\nAnswer: 109","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is 248 a factor of 120545?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let g be ((-6)\/4 - -1)*-22. Suppose -g - 1 = -a. What are the prime factors of a?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-38)\/88 + 3\/144*12.\nAnswer: -2\/11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: How many micrograms are there in 25\/2 of a milligram?\nAnswer: 12500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -2*(-2 + sqrt(1872))*-3.\nAnswer: -12 + 72*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from ykkkkkky. What is prob of sequence yykk?\nAnswer: 1\/28","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((t**(-1\/3))**(2\/45))**(5\/9) assuming t is positive.\nAnswer: t**(-2\/243)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -241 - -118. Let p = -121 - i. Solve r - p*r = 5 for r.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of 1369310, 1369301, 1369280, 1369241, 1369178?\n\"Answer: -o**3 - 2*o + 1369313","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*i + 15 = 9. Suppose 63 = 5*o - 3*f - 5, -i*o + 24 = -2*f. Calculate the least common multiple of o and 2.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*l - 5*r - 195 = 0, 3*l = 5*r - 15 + 138. Let z be 92\/(-20) - (-6)\/10. Let p = 13 + z. Calculate the highest common divisor of l and p.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(q) be the third derivative of -q**5\/60 + 5*q**4\/6 + 26*q**3\/3 + 17*q**2. Let x be i(22). Let a be -2 - (174\/(-8) - x\/32). Solve 2*p - a = -3*p for p.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many litres are there in 24.97288 millilitres?\nAnswer: 0.02497288","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -41, -121, -235, -383, -565, -781, -1031?\nAnswer: -1315","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (f*f\/(f*f**(-3)))**20 assuming f is positive.\nAnswer: f**80","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is (1\/(-4) + (-73140)\/(-1104))*(-1)\/2?\nAnswer: -33","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(g) = 137*g - 4 + 4 - 77*g + 7 - g**2 - 71*g. Determine b(-11).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1038 is divided by 40.\nAnswer: 38","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*y**2\/5 + 18160*y + 90802\/5.\nAnswer: -2*(y - 45401)*(y + 1)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let m(x) = 863*x + 22432. Determine m(-26).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -1.08 - 2. Let w = d + 3. Let h = -0.18 - w. What is the second biggest value in -2, h, -6?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h be ((-64)\/(-112))\/(6\/21). Let q(s) = s**2 + s - 4. Let u be q(-3). Suppose -h*m + 7 = -g, -5*m = 3*g - u*g - 14. Solve i = -m*i - 12 for i.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 12 a factor of 312961081?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let b(i) = 8*i**2 - i - 3. Is 25 a factor of b(3)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 1 in 13, -7, -1.084?\nAnswer: -1.084","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*y - 33 = -8. Suppose -y*z + 113 - 23 = 0. Suppose 5*s = -4*c + 51, -c = -5*s + z + 13. Which is smaller: 1\/4 or s?\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (36\/(-16))\/(1\/((-8)\/(-3))). Let s be 8\/4 - (-6 - i). Solve 6*d + s + 10 = 0 for d.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 204 divided by 102.\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ne when two letters picked without replacement from {v: 4, n: 1, e: 9}?\nAnswer: 9\/182","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let 3*k**2\/4 + 30*k + 300 = 0. Calculate k.\nAnswer: -20","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Round 527640000 to the nearest 1000000.\nAnswer: 528000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 22 + -17 + (44 - (0 + 4)).\nAnswer: 45","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (22\/11)\/(((-16)\/10)\/1)?\nAnswer: -5\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let q(a) = 2*a**3 + 15*a**2 - 5*a + 19. Let h be q(-8). Let u(k) = k + 8. Let j be u(h). Solve -c = -j*n + 5, -3*n - c + 3 = -10 for n.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 30030\/1820*9\/((-135)\/(-40)).\nAnswer: 44","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Factor -1\/3*f**2 - 1 - 4\/3*f.\nAnswer: -(f + 1)*(f + 3)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 3105?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 5*f**2 - 37*f + 873 + 45*f - 956.\nAnswer: 5*f**2 + 8*f - 83","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 2287 + -2289. What is the third smallest value in 2\/5, a, -0.4, 7, -1?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -459 = 109*y + 7*y + 1861 for y.\nAnswer: -20","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 63*x - 64*x = -5189. Let b = x + -3588. Is b a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*c + 1 = -3. Suppose 4*l = -5*s - c + 15, -31 = -5*s + 2*l. What is the remainder when 29 is divided by s?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 0 - -6. Suppose 4*c - 40 = 3*q, -c + 51 = 4*c - 4*q. What is the third derivative of 4*i**b + 3*i**2 + 5*i - 5*i - c*i**2 wrt i?\nAnswer: 480*i**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -43345 = -3*k + r, -3*r = -4*k + 19520 + 38270. What is the hundreds digit of k?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1162907 is divided by 1058.\nAnswer: 165","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 131762 is divided by 1738?\nAnswer: 1412","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 560 minutes after 2:24 AM?\nAnswer: 11:44 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 7\/33 and -41\/3?\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 258914 or 7?\nAnswer: 258914","meta":{"dup_signals":{},"source":"comparison__pair_test"},"subset":"dm_maths"} +{"text":"Question: Simplify (-1 + sqrt(2) + -1)**2*2*4 + 5.\nAnswer: -32*sqrt(2) + 53","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let r be 8\/(-10) + 258\/(-15). Let t be (-3)\/8*8\/r. Let f = 3 - 2.7. Which is the second smallest value? (a) -1\/4 (b) t (c) f\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 127 divide 32907928?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -10 = -7*m + 2*m. Suppose -o - u + 260 = o, -m*o + 260 = -4*u. What is the units digit of o?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 551?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: -16.3 - -0.23\nAnswer: -16.07","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -259.9532 - 0.0468. Let u = o + 264. Which is the closest to u? (a) -4\/3 (b) 0.04 (c) -1\/4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -2 by -683781.\nAnswer: 2\/683781","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -6*((sqrt(270)\/(sqrt(9)*-2))\/(sqrt(486)*-1 + sqrt(486) + sqrt(486)) - (-5 + (4 + sqrt(20)\/sqrt(4))*-2)).\nAnswer: -78 - 35*sqrt(5)\/3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 8 + -13. Let s = -29 - -25.9. Let i = -3 - s. What is the closest to i in 0.2, y, 1?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 0 + -0.1. Let o = m + -0.4. Let i = o + 0.8. Which is the biggest value? (a) i (b) -5 (c) 2\/7\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l be 1104\/1472 + (-165)\/(-4). Solve -8 = 50*h - l*h for h.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -104 - -146. Let h be 4\/k*9*7. What are the prime factors of (-1)\/(-2)*2 + h?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(r) = -4*r**3 - 15*r**2 + 2*r - 2. Calculate y(-4).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve -357 = -393*u - 5466 for u.\nAnswer: -13","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 135 and 1935?\nAnswer: 45","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(175) - (2*sqrt(175) + 0 - sqrt(175))**2.\nAnswer: -175 + 5*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let y(w) = 119*w**2 + 18*w + 3. Let i(s) = 4640*s**2 + 696*s + 116. Let z(x) = 3*i(x) - 116*y(x). Let f(k) = k. Calculate z(f(l)).\nAnswer: 116*l**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (-8)\/(-14) + (-3861)\/(-91). What is the first derivative of 50 + 17*a**2 - 4*a**2 + g*a**2 wrt a?\nAnswer: 112*a","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 297 and 405.\nAnswer: 4455","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -19184.94 + 19185. Sort p, 1\/17, 0.1, -22 in descending order.\nAnswer: 0.1, p, 1\/17, -22","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -17*n - 107*n = 33*n + 1727 for n.\nAnswer: -11","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-8 + 4 + 1)*(3 - 1 - 1)*(3 + 4 - 3)*(-2 + 21*h**2 + 2).\nAnswer: -252*h**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 16833067 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 294*c - 6 + 262*c + 443*c + 6 to f*c + w and give f.\nAnswer: 999","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 7888 is divided by 586?\nAnswer: 270","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between -0.1 and 73868?\nAnswer: 73868.1","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -69.4 - -69.3. What is the fourth biggest value in -0.08, 2\/11, r, -0.2?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is eighteen fifths of a milligram in micrograms?\nAnswer: 3600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is -1 divided by 7376?\nAnswer: -1\/7376","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Express -95*s - 342*s - 758*s in the form k*s + o and give k.\nAnswer: -1195","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let y(j) = -7*j - 10. Let u be y(-2). Suppose -3*k + 13 = u. Suppose -4*x**4 + x**3 - 2*x**5 + 0*x**5 - k*x**3 = 0. Calculate x.\nAnswer: -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(r) = -3*r + 10. Suppose 3*x - 4*x = -3*x. Suppose -3*c - 2*h = -9, -2*c + x*h + 4*h = -22. Give m(c).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 0.31 + 0.09. Let g be 0 - -6 - (5 - (0 + -5)). What is the nearest to 3 in -0.3, k, g?\nAnswer: k","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is 1011100000010 + -1011?\nAnswer: 1011011110111","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let r(b) = 4*b - 3. Calculate the remainder when 86 is divided by r(7).\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -739338*z + 739329*z = 225 for z.\nAnswer: -25","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 634, 720, 960, 1432, 2214, 3384, 5020?\nAnswer: 7200","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*a = 26*v - 29*v + 34, 66*a - 67*a + 3 - 8 = -4*v for v.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Convert 20031 (base 4) to base 15.\nAnswer: 250","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 178.69089 months in centuries?\nAnswer: 0.148909075","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let m(n) = -20*n - 167. Let o be m(-8). Let v(u) = -u**3 - 4*u**2 + 6*u - 25. What is the smallest common multiple of 60 and v(o)?\nAnswer: 240","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3*s - 3*s + s)*(1 - 3 + 3) + 10 - 10 + 5*s + 5*s - 2*s - s - 3 + 3 + 2*s.\nAnswer: 10*s","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*j = -3*x + 5*x - 2, -10 = -4*x + 2*j. Suppose 2 + x = -2*l. Let r be ((-2)\/(-4))\/(l\/(-90)). Solve -2*m + w + 1 = r, -7 = 3*m + 2*w for m.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(f) = f**2 - f - 3. Let s be v(3). Solve 4*g - 25 = -g - 3*l, 4*g = s*l + 20 for g.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -7 + 3*g + 4 - 10 to the form b + c*g and give c.\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1\/13*0\/(-1295).\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -0.131992 - 0.5.\nAnswer: -0.631992","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.000000379 rounded to seven decimal places?\nAnswer: -0.0000004","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 0*w**3 - 28*w**2 + 2*w**3 + 23*w**2 - 40*w**3.\nAnswer: -38*w**3 - 5*w**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((u*u**(1\/5)\/u)**(11\/4)*u**(5\/4)*(u*u**(-15))\/u)**(-13) assuming u is positive.\nAnswer: u**(858\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from juxuuxxxxxuxuux. Give prob of sequence juu.\nAnswer: 1\/91","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of 105, 265, 469, 723, 1033?\n\"Answer: g**3 + 16*g**2 + 105*g - 17","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 276417 to the power of 1\/2, to the nearest integer?\nAnswer: 526","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -11 + 11. Let r be 3 - ((1 - l) + -3). Solve -r*x = 3*v + 16, v - 3*v + x - 2 = 0 for v.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -2*(-2 + (-7)\/(-2))?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(g) be the second derivative of -25*g**7\/42 - 4*g**3 - 5*g. What is the second derivative of u(q) wrt q?\nAnswer: -500*q**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-2 - 8 - (-209)\/21)\/((-8)\/6)\nAnswer: 1\/28","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -209*o + 465*o - 152*o.\nAnswer: 104*o","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve -62 + 58 = 2*j + k, -4*k = -16 for j.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2 + 5 = l + 2*s, -l = 4*s - 9 for l.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 3099238 to the power of 1\/7, to the nearest integer?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let l(a) be the first derivative of 2*a**3\/3 + 20*a**2 + 192*a + 1278. Factor l(f).\nAnswer: 2*(f + 8)*(f + 12)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*q - 3 = -q, -4*i = q - 843. Suppose -4*t = t + 5*d - i, 5*d = -3*t + 130. Calculate the remainder when t is divided by 14.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(p) be the first derivative of 3*p**2\/2 + 1. Let u(k) be the second derivative of 7*k**3\/2 + 1157*k. Give u(d(h)).\nAnswer: 63*h","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -255 + 253 - (1 - -9).\nAnswer: -12","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 969420*d*f - 3*f + 312566 wrt d?\nAnswer: 969420*f","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Convert 2.1600879 months to centuries.\nAnswer: 0.00180007325","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 54 and 19564416.\nAnswer: 19564416","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -21385.00114052 - -21385. What is f rounded to four dps?\nAnswer: -0.0011","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(y) = -y. Let c = 22 - 19. Suppose 0 = 5*f - c*d - 2, 0*f - d = -f. Calculate v(f).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -1820.9 + 1813.9. Which is the closest to -2? (a) 0.4 (b) v (c) -3.1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(x) = 7*x - 148. Give d(-31).\nAnswer: -365","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 5 + -5.27. Let r = w + -0.73. Put 1\/4, -0.3, r in descending order.\nAnswer: 1\/4, -0.3, r","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-j**4 + 12495*j**2 + 33966 - 33966)*(2 - 2 - j).\nAnswer: j**5 - 12495*j**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 42332219?\nAnswer: 42332219","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 415312 and 8738?\nAnswer: 514","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of 459387, 459519, 459651, 459783, 459915, 460047?\n\"Answer: 132*g + 459255","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Find n such that -2*n + 4 - n**2 + 2*n**4 + 4*n**3 + 6*n**3 - 8*n**3 - 5*n**2 = 0.\nAnswer: -2, -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 557 minutes before 10:23 PM?\nAnswer: 1:06 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve 21*v**5 + 1053*v**4 + 15399*v**3 + 85827*v**2 + 130536*v - 185220 = 0.\nAnswer: -30, -7, 6\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {t: 2, k: 4, h: 1, v: 3, m: 1}. Give prob of sequence tmt.\nAnswer: 1\/495","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -0.1 in 2\/5, -6\/11, 7, 4262\/5, 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -17 = 2*y - 3*y. Let g = 63 + 53. Calculate the remainder when g is divided by y.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -47b (base 12) in base 7?\nAnswer: -1646","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 105364 and 3124.\nAnswer: 1159004","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*l - 60 = 30. Suppose g - l = -4*g. Let m(d) = d**2 + d - 3. What is the remainder when m(4) is divided by g?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: -64629 divided by 6\nAnswer: -21543\/2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is -819 != -2?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) 3\/1298 (b) 0.2 (c) -0.5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 12\/(-112)*(-136)\/306*9?\nAnswer: 3\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let r(t) be the first derivative of -4286*t**2 + 50*t + 2870. Differentiate r(g) with respect to g.\nAnswer: -8572","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 96279?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -1073, -457, 579, 2041, 3935, 6267, 9043, 12269?\nAnswer: 15951","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2716*n - 6730*n - 5761*n.\nAnswer: -9775*n","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let c(b) = -356*b**2 + 4*b - 2. Let m(k) = -1068*k**2 + 14*k - 7. Calculate -21*c(l) + 6*m(l).\nAnswer: 1068*l**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 1815*j - 941*j - 870*j.\nAnswer: 4*j","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let h be 3*(-2)\/(-12)*-818. Let i = 466 + h. Sort i, 2, -3 in descending order.\nAnswer: i, 2, -3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 5741.\nAnswer: 5741","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (-1 + (-6)\/(-9))*-15. Solve g*m - 4 = -9 for m.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 32 divide 32?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is 2816325 greater than or equal to 2816325?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: -0.3*2.139\nAnswer: -0.6417","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let k(t) be the first derivative of -t**4\/2 - t**3\/3 - t + 26. Let s(i) = -3*i**3 - i**2 - 2. Calculate -5*k(o) + 3*s(o).\nAnswer: o**3 + 2*o**2 - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -127\/58460 and 3\/14615?\nAnswer: 58460","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1306 is divided by 217.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*c - 32 = -2*w, -24*w - 5*c = -28*w + 60. Suppose 4*v + 11 = 3. Put v, -4, w, 0 in decreasing order.\nAnswer: w, 0, v, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 2*v**4 - 50*v**2 - 3 + 28*v**2 - 2*v + 23*v**2 to p*v**4 + w*v**3 + k*v**2 + o + j*v and give k.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 1 + 6. Let i = -9.7 - 0.3. Let o = i + v. Sort o, -5, 4 in ascending order.\nAnswer: -5, o, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {e: 4, d: 4, n: 3}. What is prob of picking 2 d and 1 n?\nAnswer: 6\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -41*x = -1560 - 10166. Solve x = 13*k + 195 for k.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: 2\/(-14)*-9 - (549\/(-63) + 9)\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.0667318 to three dps.\nAnswer: 0.067","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -6 + 10. Let g be ((-2)\/s)\/(1\/(-6)). Solve -3*c - g = -0*c for c.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many hours are there in five eighths of a day?\nAnswer: 15","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Expand -1364*p + 2*p**3 - 3*p**3 + 1040*p - p**2 + 341*p + (3*p**2 - 4*p**2 + 2*p**2)*(-3 - p + 3).\nAnswer: -2*p**3 - p**2 + 17*p","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*a - 10*n + 3841 = -8*n, 3837 = 5*a + 4*n. Is a composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 5*i**2 + 8*i**2 - 10*i**2 - 27*i**2 - 12*i**2.\nAnswer: -36*i**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let c(g) be the first derivative of g**4\/4 + 4*g**3\/3 + 2*g**2 - 64. Suppose c(t) = 0. Calculate t.\nAnswer: -2, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 55 = -2*j + 155. What is the highest common divisor of 25 and j?\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(n) = -9*n - 4. Let o(f) = 2*f + 2. Let j(d) = -b(d) - 5*o(d). What is j(-3)?\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -2.2 + 1.7. What is the second biggest value in -4, h, -0.1?\nAnswer: h","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -e0 (base 16) in base 11?\nAnswer: -194","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -1\/3? (a) 2\/25 (b) 0.27 (c) 0.5 (d) -5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.01305204492 to 3 decimal places.\nAnswer: -0.013","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:03 PM and 5:52 PM?\nAnswer: 289","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 204956.\nAnswer: 2, 51239","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2145920 + 2145920 + 829*r.\nAnswer: 829*r","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Expand (1002 - 1002 - 35*q)*(18 - 1 + 21).\nAnswer: -1330*q","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 9175988 and 34.\nAnswer: 34","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -2974*x**3 + x**2 + 8140.\nAnswer: -8922*x**2 + 2*x","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {r: 1, u: 1, j: 1, e: 6}. Give prob of picking 1 r and 1 u.\nAnswer: 1\/36","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -42*a**4 + 385260*a**3 - 2*a**2 - 37225046*a - 9?\nAnswer: -504*a**2 + 2311560*a - 4","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -3652005 or -3651993?\nAnswer: -3651993","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let b be 1 + 23319989\/8 + (-1917)\/(-5112). What is b rounded to the nearest 1000000?\nAnswer: 3000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 356130*g**4 + 313485 wrt g?\nAnswer: 1424520*g**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 14516951?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence bbbr when four letters picked without replacement from wwwwbbbbrb?\nAnswer: 1\/84","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 187824 times -492?\nAnswer: -92409408","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: -0.5 times -61432035\nAnswer: 30716017.5","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let v(d) = d**3 + 16*d**2 + 2*d + 32. Let k be v(-16). Suppose -14 = -k*y - 7*y. Solve -3*s - 5*g - 1 = -7, -y*s = 4*g - 4 for s.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(o) = -7*o**2 - 109*o - 58. Let m be t(-15). Find l, given that -2\/5*l**m - 8\/5 + 8\/5*l = 0.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the eighth root of 186970898 to the nearest integer?\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let r(k) be the first derivative of k**2 - 2*k + 1. Let t(l) = l**2 - 3*l - 2. Let a be t(-1). What is the remainder when 4 is divided by r(a)?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of 149, 63, -23, -109?\n\"Answer: -86*u + 235","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Put 1, -4, 18, 85, -5, 13, 5 in decreasing order.\nAnswer: 85, 18, 13, 5, 1, -4, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Convert 3.819229 tonnes to nanograms.\nAnswer: 3819229000000000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Expand (w - 5*w - w)*(-3 + 0 + 6)*(2 + 2 - 7).\nAnswer: 45*w","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let f(l) = 11*l**2 + 456*l - 427. Let j be f(-179). Round j to the nearest 1000.\nAnswer: 270000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -2? (a) -37 (b) -164 (c) 1\/3 (d) 2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let t be 5*((-8)\/5 - -2). Let l = 9.2 + -9. What is the second smallest value in t, l, -2?\nAnswer: l","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -1.2 - -1. Suppose 4*p + 1512 = 5*s, 2*p = 4*s - 2*s - 606. Let l be 2\/(-8) - (-35)\/s. What is the second smallest value in r, 0.1, l?\nAnswer: l","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 477758 is divided by 159116.\nAnswer: 410","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 6 + -11. Let w be -5*(g - -1 - 1). Suppose i - 2*b = b + w, b = i - 23. Is i a multiple of 11?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 7.376413 micrometers in kilometers?\nAnswer: 0.000000007376413","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 721011413 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {p: 5, j: 8, o: 4}. Give prob of picking 3 j.\nAnswer: 7\/85","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {w: 5, i: 3, k: 2, l: 2, h: 1, a: 6}. Give prob of sequence il.\nAnswer: 1\/57","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (-16)\/(-6)*(5 - 2). Suppose -2*k + 3*w = -s, -2*k - w = -4*k + 4. What is the smallest common multiple of k and 11?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(x) = 12142*x**2 + 0*x - 12140*x**2 + x - x. Let m(n) be the third derivative of n**4\/12 + n**3\/3 + 3*n**2. What is m(j(z))?\nAnswer: 4*z**2 + 2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-1)\/(-8) + (25\/(-5) - 795\/(-40))?\nAnswer: 15","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 610 - 556. Let y = -37 - 57. Let o = m + y. Do o and -40 have the same value?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 469 + -250. Let k = 218.413 - d. What is k rounded to 1 decimal place?\nAnswer: -0.6","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 2909.121455 to the nearest one hundred.\nAnswer: 2900","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Convert 2232 (base 4) to base 8.\nAnswer: 256","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*q - 1589 = -1609 for q.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {z: 4, e: 5, q: 1, i: 1}. Give prob of sequence qe.\nAnswer: 1\/22","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.0000107720613 to 6 decimal places.\nAnswer: -0.000011","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Add 3638.79 and 1.839525509.\nAnswer: 3640.629525509","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is -25021350 rounded to the nearest 100000?\nAnswer: -25000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Expand (5 + 4*g - 5)*(2366*g**2 - 5206*g + 2606*g + 2602*g).\nAnswer: 9464*g**3 + 8*g**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0*u - 2*u - 2 = -5*i, -4*i = 4*u - 24 for u.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence btr when three letters picked without replacement from {i: 2, p: 2, d: 2, r: 1, t: 2, b: 5}.\nAnswer: 5\/1092","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of 39, 33, 39, 63, 111?\n\"Answer: q**3 - 13*q + 51","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let x(r) = 6*r - 3. Suppose 1 - 5 = g. Let v(p) be the third derivative of 5*p**4\/24 - p**3\/3 + 2440*p**2. Let q be 3 - 0*(3 + -2). What is g*v(j) + q*x(j)?\nAnswer: -2*j - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 15\/6*5\/(75\/(-24)).\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (-10 + 4)*1\/(-3). Suppose 2*q + 6 = -c. Let h(y) = -2*y**2 - 6*y - 1. Calculate h(q).\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (-6)\/12*3*6. Let c = m - -13. Let w be 50\/15 + (-24)\/72. Solve 2*k - c*d = 12, -9 = 7*k - 3*k + w*d for k.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth biggest value in -27972, -0.1, -2\/25, -0.02, 4?\nAnswer: -27972","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is b in -b**2\/2 + 7*b\/2 + 319 = 0?\nAnswer: -22, 29","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -9 = -0*i - i. Let n = i - 5. Find the second derivative of -3*z**5 - z - 20*z**4 + 20*z**n wrt z.\nAnswer: -60*z**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: -49 + 47 - (0 + -10)\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -0.2 in 1357, -19, -0.4?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let g(v) = v**3 + 10*v**2 + 10*v + 11. Let f be g(-9). What is the third derivative of 23*j**3 - 8*j**5 - 23*j**3 + 36*j**f - 4*j**5 wrt j?\nAnswer: -720*j**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0.3 in -0.4, -1452, -217, 0.4?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let v(g) = 29*g**3 - 5. Let z(r) = 28*r**3 - 5. Calculate -5*v(l) + 6*z(l).\nAnswer: 23*l**3 - 5","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -14\/93 in -1, 0.2, 26?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let v(l) = -8*l**3 - 2*l**2 + 3*l + 72. Let d be v(-5). Solve -10*r + d = 1037 for r.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 11\/157427439 and 43\/9.\nAnswer: 472282317","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let p(x) = -x**3 + 40*x**2 - 2*x + 85. Let o be p(40). Suppose -3*t = -5*y - 164, -7*t + o*t + 141 = 3*y. What is the remainder when t is divided by 8?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 2 - 42\/3 - 434\/(-217) - 830\/(-85)?\nAnswer: -4\/17","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of (11 + -3)\/(-2) - -270?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 886 to the nearest integer?\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence jd when two letters picked without replacement from jkwdmmq?\nAnswer: 1\/42","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((1*(sqrt(130) - (sqrt(130) - (sqrt(130) - -1*sqrt(130))))*-2)\/((sqrt(20) - -6*sqrt(180))\/sqrt(2)))**2.\nAnswer: 208\/361","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -5*r + 5*r + 4*r**3.\nAnswer: 4*r**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0? (a) -2 (b) 5235\/341 (c) -1\/3 (d) 1\/8 (e) 0\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 50\/(-25575)*-33 - 50\/(-2108)?\nAnswer: 3\/34","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: (-11505)\/(-18)*(-45)\/(-75)*100\/325\nAnswer: 118","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 15 = -5*n, 2 = 3*j - n - 4. Let u be (j + -4 + 3)\/(-1). Suppose u = -o + 7 + 2. Calculate the greatest common divisor of 81 and o.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 15 - 244*i + 4 + 495*i - 19 - 247*i.\nAnswer: 4*i","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -1959*a - 156341 + 156341 to h*a + m and give h.\nAnswer: -1959","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 1011 and 38\/8 + -4 - (-357)\/68.\nAnswer: 2022","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {y: 3, s: 4, d: 5, r: 1, x: 1}. What is prob of sequence dyrx?\nAnswer: 5\/8008","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let l(y) = -y**3 + 6*y**2 + 9*y + 5. Let k be ((-5)\/10)\/((-3)\/42). Let r be l(k). Let w = r + -8. What is the units digit of w?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of 734, 1468, 2204, 2942?\n\"Answer: t**2 + 731*t + 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Sort 4\/7, 31, -2.4, 1 in decreasing order.\nAnswer: 31, 1, 4\/7, -2.4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (1\/(-1 + 2))\/((-90)\/(-2146) + 610\/(-8845)).\nAnswer: -37","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 2\/(-25 + 16\/4)?\nAnswer: -2\/21","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -7*s**3\/4 + 7693099*s**2 - 8454826801428*s + 4831327088784.\nAnswer: -(s - 2198028)**2*(7*s - 4)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let a(k) = 207*k + 135171. Give a(-653).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is -10 - -1441?\nAnswer: 1431","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in 2\/9, -1\/6, 3\/8, -1625\/17?\nAnswer: -1625\/17","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let m be ((-6)\/(-4))\/(-5 - 4). Let i = 1\/231 + 1\/11. Which is the second biggest value? (a) 0.2 (b) i (c) m\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(d) = -d - 1. Calculate w(7).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-5 - -6 - 3) + 10.\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -1 in 2\/7, 1.7, -21?\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Put 23, -24, 1, 8 in ascending order.\nAnswer: -24, 1, 8, 23","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Round 1.03478494 to four decimal places.\nAnswer: 1.0348","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = f - 10 - 20. Factor 3 - 40*p**2 + 3 + 50*p**3 - 8 - f*p**4 + 7*p**5 + 15*p.\nAnswer: (p - 1)**4*(7*p - 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(c) = c**3 + 9*c**2 - 3*c + 58. Let p be k(-10). What is the second biggest value in p, -3, 1?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*q = -a - 2*a - 4, 2*a = -2*q + 16. Suppose -2655 = -0*u - 5*u - 5*z, 5*u + q*z = 2650. What is the units digit of u?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*i = 81746 - 16741. Is i prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(w) = -4*w**2 + 6*w + 6. Let l(a) = a + 1. Let v(h) = -6*l(h) + t(h). Let b(p) be the second derivative of -11*p**3\/6 + 2*p - 417. What is b(v(g))?\nAnswer: 44*g**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 1 + 2. Solve -4*c + 2*d + 5 = g*d, 20 = 5*c + 4*d for c.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*o + 3*r - 0*r + 168, o + 4*r = -55. Let d = o - -41. Suppose -5 = -d*g + 5. Solve -g = -2*j + 1 for j.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 191708625527 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Find z, given that 2*z**2\/13 + 13944*z\/13 + 24304392\/13 = 0.\nAnswer: -3486","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Express -6 + 2*j + 5 - 183*j**4 + 166*j**4 - 2*j**2 - j as c*j + g*j**3 + p*j**4 + z*j**2 + i and give i.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (57 + -15 - 34) + -8.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Express (-p - 3*p + 5*p)*(1 - 2*p - 1)*(3*p + 0*p + 13*p) in the form s*p + m + o*p**3 + d*p**2 and give m.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: -1446*85\nAnswer: -122910","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -21 + 3. Is (100\/(-15) - 0)*p a multiple of 12?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 g when two letters picked without replacement from {z: 4, q: 4, e: 2, g: 9}?\nAnswer: 4\/19","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0.3 in -2\/21, -7, -4\/9?\nAnswer: -2\/21","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of ((-11332)\/16)\/((154\/(-112))\/11)?\nAnswer: 2, 2833","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {q: 1, s: 2, u: 4, d: 2}. Give prob of picking 2 d and 1 s.\nAnswer: 1\/42","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (42\/8)\/(((-1)\/1)\/(-12)). Let k = 84 - c. Is k a multiple of 21?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 5856337 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let h(s) = -6*s**2 + 1. Let r be h(-1). Let y(u) = u + 2. Let m(b) be the third derivative of -b**4\/24 - b**3\/3 + b**2. Calculate r*y(t) - 6*m(t).\nAnswer: t + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is one quarter of a litre in millilitres?\nAnswer: 250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 27120*x**2 - 13557*x**2 - 13531*x**2.\nAnswer: 32*x**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (2*f + f + f)*(903*f**2 - 903*f**2 - 565*f**3) + (-2*f + 4*f - f)*(3*f**3 - 2*f**3 + f**3) to n*f + m*f**4 + g + p*f**3 + v*f**2 and give n.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of -9, -16, -23?\n\"Answer: -7*s - 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 595 minutes before 10:54 PM?\nAnswer: 12:59 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -27\/56 and 33\/8.\nAnswer: 56","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is 353931 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let t(j) = 15103*j**2 + 8*j + 9. Let w be t(-7). Suppose -q - q - w = 0. What is q rounded to the nearest one hundred thousand?\nAnswer: -400000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(u) = 2*u - 1. Determine a(7).\nAnswer: 13","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of -272, -219, -166?\n\"Answer: 53*i - 325","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -25 - -47. What are the prime factors of r?\nAnswer: 2, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 307*j*l**5 + 3*j*l**3 - 2*j*l - 355*j wrt l?\nAnswer: 6140*j*l**3 + 18*j*l","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of 705, 1289, 1873, 2457, 3041?\n\"Answer: 584*q + 121","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*d - 8194 = -3*g, 287*d + 10922 = 4*g + 293*d. Does 41 divide g?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (f*f*f\/(f*f**(-1\/2)))**(3\/4)*(f**(2\/13))**(14\/11) assuming f is positive.\nAnswer: f**(2369\/1144)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth smallest value? (a) -94.183 (b) -4 (c) 0.38 (d) -1\/5 (e) 0.2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 6249 - 6190. Which is the second biggest value? (a) 4 (b) n (c) 2\/3 (d) 2\/5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(r) = -r**2 - 3*r + 2. Let n be w(-3). Let u = -1.8 + -0.1. Let x = u + 2. Which is the third smallest value? (a) -5 (b) n (c) x\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 29.3 + 15.9. Let n = 42 - l. What is n rounded to one decimal place?\nAnswer: -3.2","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 189 + -191. Sort z, 3.6, 0.2 in ascending order.\nAnswer: z, 0.2, 3.6","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -2\/245 in 3\/2, 1\/2, -3, 6034?\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let a be ((-56)\/(-20) + -2)*-5*12\/(-48). Suppose -124 = 5*j - l - 26, -j - 5*l - 30 = 0. What is the smallest value in a, j, 2\/5?\nAnswer: j","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -36*m**2 - m**2 + 4*m**2 - 105*m**2 in the form l*m + r*m**2 + g and give r.\nAnswer: -138","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -241462, -483978, -726496, -969016?\nAnswer: -1211538","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is a + -81?\nAnswer: -76","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 43.93152 rounded to the nearest 10?\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 16*x - 17*x + 39 = 0. Calculate the remainder when 115 is divided by x.\nAnswer: 37","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: 2 (base 12) to base 6\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve o - 2*n = 33075 - 33095, 0 = 3*n - 30 for o.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -5.7 - -6.2. Let m = -1\/112 + 1\/14. What is the nearest to 2 in -2\/5, g, m?\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -147*r - 9870 = -247*r - 229*r for r.\nAnswer: 30","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 176560 and 46347.\nAnswer: 3707760","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1931 = -45*b + 2426 for b.\nAnswer: 11","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Put 3, -46, 2, 33 in descending order.\nAnswer: 33, 3, 2, -46","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 2*l + 12 - 12 + 38*l**4 + 33*l**4 - 58*l**4 - 6*l**2 to y*l + g*l**4 + d*l**3 + p + v*l**2 and give y.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let g(z) = z**2 + 21*z + 223. Let c be g(-16). Which is bigger: 144 or c?\nAnswer: 144","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 7081873739 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (6\/(-4))\/((-6)\/(-8)). Let m(f) = -3*f - 15. Let n be m(-3). Let j = h - n. Solve -7 = -4*z + 3*w, -j*z - 3*w - 21 = -z for z.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(f) = -f**2 - 5*f - 16. Give w(-4).\nAnswer: -12","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let v(w) be the first derivative of w**3\/3 + w**2\/2 + w - 4. Let f be v(-1). Let d = -137058\/97 + 1413. Are f and d nonequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 55185 or 55192?\nAnswer: 55185","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let c(z) = -43*z + 83. Calculate the remainder when 1886 is divided by c(-1).\nAnswer: 122","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 27410674 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 55785 - 55556. Let p be 1826\/8 - (-6)\/(-24). Is p < d?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8 = 2*b - 4*b. Suppose b*h = 5*h - 10. What are 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 (4160\/1872)\/(4\/18)?\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(g) = 122*g + 60. Let j be q(1). Calculate the highest common factor of j and 14.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out -415 * 0.12.\nAnswer: -49.8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -3305, -3308, -3313, -3320, -3329?\nAnswer: -3340","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is -13521.95193 rounded to the nearest one thousand?\nAnswer: -14000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is 1515 - -106611?\nAnswer: 111426","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*h - 291240 = -9*h. Is h\/24*3 - (-1 - -1) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -4 + 4. Suppose -4*h + 5 = -15. Suppose -4*f + 63 = 39. Solve -f*r + r + h = d for r.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of -8625, -8460, -8303, -8154, -8013, -7880?\n\"Answer: -4*b**2 + 177*b - 8798","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) 767 (b) 0.5 (c) 12528.9\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of 7, -8, -43, -110, -221?\n\"Answer: -2*g**3 + 2*g**2 - 7*g + 14","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let 2*b**2 - 192*b + 4608 = 0. Calculate b.\nAnswer: 48","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let w(t) = -15*t. Let x(i) be the third derivative of -29*i**5\/60 + 660*i**2. Calculate x(w(a)).\nAnswer: -6525*a**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((w*w\/w**(-2\/15))\/(w**(1\/3)*w))\/(w**3\/(((w**(-1\/5)*w*w)\/w*w)\/w)) assuming w is positive.\nAnswer: w**(-7\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*l**3\/7 - 1912*l**2\/7 - 33688*l\/7 + 10720 = 0. What is l?\nAnswer: -938, -20, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 14210869?\nAnswer: 439, 32371","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -1*(-1 + 1 + (sqrt(190) + (sqrt(190) - (sqrt(190) + 1*sqrt(190)*6)))\/sqrt(10)).\nAnswer: 5*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of -150698065, -301396124, -452094183, -602792242, -753490301?\n\"Answer: -150698059*b - 6","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of -178, -436, -694, -952?\n\"Answer: -258*l + 80","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (4 - 4) + 7 - (-19)\/((-114)\/44).\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is 26 a factor of 1040?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is 72203 - -2?\nAnswer: 72205","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of -4551, -4550, -4549, -4548?\n\"Answer: w - 4552","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let p(s) = 2*s**2 - s + 1. Suppose g = r - 0*g, -3*g = r - 20. Let l(k) = 4*k**2 - 2*k + 1. Determine r*p(m) - 3*l(m).\nAnswer: -2*m**2 + m + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let p(u) = 107*u - 35. Is p(12) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 646170867 to the power of 1\/3, to the nearest integer?\nAnswer: 865","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let q(t) = 6*t**2 - t + 1. Suppose 9*p - 1 = 8*p. Let w be q(p). Let o = 15 - 0. Calculate the greatest common divisor of o and w.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: -4 + (-1 - 2) + 3\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 175 + -164. What are the prime factors of ((-627)\/h)\/((-5)\/65)?\nAnswer: 3, 13, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 19 - 18 + 13*y - 1 to the form f + r*y and give r.\nAnswer: 13","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 1970323?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:31 AM and 7:55 AM?\nAnswer: 264","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 21461570 and 130?\nAnswer: 130","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 14*z = 13*z + 14. Suppose -31*s + 54 = -13*s. Solve -s*i - 34 = z*i for i.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (0 + (-431766)\/4)\/(110\/12). Let z = -11776 - h. Let m = z + 4\/11. What is the biggest value in -3\/4, m, 0.5?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 2*u - 38*u + 1 - 4 + u**4 + 160*u**4 + 22*u wrt u.\nAnswer: 1932*u**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(h) = -h**2 - 1153*h + 5784. What is a(5)?\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 9146568, 9146564, 9146560?\nAnswer: 9146556","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (-134)\/6 + 20 + 38\/6. Solve 181*f + 2 = 182*f + 4*l, -2*f + h*l = -16 for f.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -1 - 2*l**4 + 1 + (2 + 1 - 2)*(l**3 - 3*l**4 - l**3) + 7*l - 2*l**4 - 19*l**2 - 4*l + 10*l**2 to g*l**4 + s*l**3 + x + b*l**2 + i*l and give g.\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let z(r) = -12*r + 48. Let u = -179 + 162. Is 13 a factor of z(u)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(x) = 4*x**2 + 15*x + 14. Let r be d(-1). Let s = 0.8 + -0.3. Which is the second biggest value? (a) 0.06 (b) r (c) s\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 210574?\nAnswer: 2, 7, 13, 89","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -3592, -7187, -10782, -14377?\nAnswer: -17972","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -1 in -4, 9, -538, 18\/5?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ngg when three letters picked without replacement from gnuiugnnggiuin?\nAnswer: 2\/91","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve -l - 3*l + 3*c = 35, 10 = 2*c for l.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let a(w) = -23*w - 15 + 26*w + 18*w**2 - 19*w - w**3. Let z be a(17). Suppose -z*n = -n - 8. Solve -5*g = -n - 7 for g.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -730 (base 9) in base 5?\nAnswer: -4334","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 722189?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 30\/(-25) - -18*8\/(-180)?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 121361256*l**4 - 22*l**2 - 475255*l + 2.\nAnswer: 2912670144*l","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 7743929?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (u\/u**(-1)*u**3)\/(u\/(u\/u**(-2\/3)))**(-21) assuming u is positive.\nAnswer: u**(-9)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -0.63 + 0.76. Let m = -0.323 + 0.053. Let k = p - m. What is the fourth biggest value in k, 4, -0.5, -0.05?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -21*q + 19 = -16*q + 2*f, -5*q - 4*f + 13 = 0 for q.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -11984\/13 or -921?\nAnswer: -921","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 615652395 to the power of 1\/3, to the nearest integer?\nAnswer: 851","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let d(m) = 2*m**2 + 4*m + 6. What is d(-5)?\nAnswer: 36","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let a(w) = -25*w**2 + 2. Let z(n) = -2438*n**2 + 46*n + 115. Let v(y) = 271*y**2 - 5*y - 13. Let j(x) = -46*v(x) - 5*z(x). Give -23*a(m) + 2*j(m).\nAnswer: 23*m**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1218 is divided by 153?\nAnswer: 147","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is 11 + 13144?\nAnswer: 13155","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 751564164?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 78049.\nAnswer: 78049","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Round -330.92 to the nearest integer.\nAnswer: -331","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from vkzzz. What is prob of sequence vv?\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence bbv when three letters picked without replacement from {b: 3, v: 12, j: 1}?\nAnswer: 3\/140","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(49) - -5*(sqrt(49) + sqrt(441)) - sqrt(49))\/sqrt(7) + ((sqrt(98)\/sqrt(2) - sqrt(49))*-6)\/sqrt(7))**2.\nAnswer: 2800","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0.59292 - 2.\nAnswer: -1.40708","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (0 - -19) + (2 + -34 - (62 - 115))?\nAnswer: 40","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: 2\/((-802)\/2807 - (-32)\/(-476))\nAnswer: -17\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 0\/20*((-42)\/(-6))\/7?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let x(m) = -m**3 + 12*m**2 + m - 8. Calculate the lowest common multiple of x(12) and 22.\nAnswer: 44","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*r + 2*t + 3 + 0 = 0, 12 = -3*r - 5*t. Find the first derivative of -s + 0 - r + 4 wrt s.\nAnswer: -1","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 2214 + -2207. Let d = 5 - 1. Let h = k - d. Put -1, h, -0.08 in decreasing order.\nAnswer: h, -0.08, -1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -1\/5? (a) -20 (b) 0.1 (c) -3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Does 599 divide 187934?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is -3\/71 greater than or equal to -3716?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*v + 0 = -z + 15, -4*v - 3*z + 12 = 0. Suppose 0 = -3*n + v. Let q(c) = 4*c - 1. Let k be q(n). What is the third biggest value in 0.4, k, -2?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 7 or 45409\/6021?\nAnswer: 7","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Product of 5.53 and -0.6449.\nAnswer: -3.566297","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -873 + 352. Let r = t - -617. What is the greatest common factor of 240 and r?\nAnswer: 48","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 97 divide 328292?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Convert 376433.3mm to micrometers.\nAnswer: 376433300","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -4*(sqrt(242) + 2 + sqrt(242) + sqrt(242) + 5 + 5*(sqrt(128) + 1)**2).\nAnswer: -2608 - 452*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -13740, -27647, -41554, -55461?\nAnswer: -69368","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 113\/595152 and 19\/40.\nAnswer: 2975760","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is 20213233 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let p(v) = 7*v. Let g(y) = 110*y. Let h(z) = 7*z. Let o(f) = -3*g(f) + 44*h(f). Calculate p(o(k)).\nAnswer: -154*k","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -m = -2*z + 31, -5*m - 5*z = 144 + 41. Let k = m - -71. Calculate the highest common divisor of k and 54.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 43 - 32. Let g(p) = -4 + 3 + j*p**2 + 5 - 3 + p. What is the tens digit of g(3)?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1132 a multiple of 30?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve 174*d - 428 = 268 for d.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*t - 5 = -3. Let w be (-1 - 29\/(-27))\/(8\/12). Put 2\/13, t, w in ascending order.\nAnswer: w, 2\/13, t","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:54 PM and 4:05 AM?\nAnswer: 251","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of -91, -769, -2621, -6235, -12199?\n\"Answer: -98*p**3 + p**2 + 5*p + 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: 42.8 times 0.2444793\nAnswer: 10.46371404","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*g + v = -11, -3*v = -4*g - 4*v - 23. Let o be (g\/(-6) + (-2)\/1)*-8. Calculate the highest common factor of o and 8.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 176236245*t + 131614005 wrt t.\nAnswer: 176236245","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 25*w - 69 = -19 for w.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 3*b + 4*c - 42, -17 = 12*b - 2*c + 31 for b.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let p(a) = 1 - 2 - 12*a + 7*a + 6*a. Let k(d) = 7*d**3 - 5*d + 22. Let y(u) = -k(u) - 5*p(u). What is the first derivative of y(f) wrt f?\nAnswer: -21*f**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1802.0796 months in years?\nAnswer: 150.1733","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -62 + (-14 - 6 - -13 - (-19 + 0 + 2)).\nAnswer: -52","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) 3 (b) 0.3 (c) 48420 (d) -0.02 (e) -1\/3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let a(x) = -156*x + 67. Let m(h) = 83*h - 33. What is -6*a(z) - 11*m(z)?\nAnswer: 23*z - 39","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 263 + -188. Calculate the remainder when 303 is divided by i.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) 465\/2 (b) -6 (c) -0.29\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {a: 4, v: 1, e: 3, h: 6, n: 4, o: 1}. Give prob of picking 1 v and 2 e.\nAnswer: 1\/323","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 4? (a) -3\/5 (b) 4 (c) 824936\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let y(u) = -u - 2. Let d be y(0). Let j = 0 - d. Let x(c) = -4*c. What is the smallest common multiple of j and x(-2)?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 4743?\nAnswer: 3, 17, 31","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let d(m) = 3*m**2. Let f(x) = x + 2. Let w(k) = 5*k + 11. Let v(t) = 33*f(t) - 6*w(t). Determine v(d(a)).\nAnswer: 9*a**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is -574 equal to -749?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:43 PM and 9:01 AM?\nAnswer: 618","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 1.1 + -1. Let v = t - 0.2. Suppose 20 = 5*p + 5*m, -4*m + 14 = 3*p - 0*p. Which is the closest to v? (a) p (b) -4 (c) -0.4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose s - 210 = 882. Suppose 0 = 3*q + q + h - 1100, -4*q + s = 3*h. Does 46 divide q?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 42 to the nearest integer?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let m(k) = 6*k**2 - k + 7. Let j = 24 - 33. Let a be m(j). Suppose 2*r = a - 80. Is r composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(w) = -w**2 - 12*w + 15. Let x be r(-11). Calculate the greatest common factor of 1846 and x.\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(z) be the second derivative of 6*z**3 + 2*z + 356. Let a(m) = 3*m. What is l(a(j))?\nAnswer: 108*j","meta":{"dup_signals":{},"source":"polynomials__compose_test"},"subset":"dm_maths"} +{"text":"Question: Factor j**4\/2 - 5*j**3 - 191*j**2\/2 - 396*j - 504.\nAnswer: (j - 21)*(j + 3)*(j + 4)**2\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Convert b0 (base 16) to base 5.\nAnswer: 1201","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*t**5\/7 - 240*t**4\/7 + 5872*t**3\/7 - 10504*t**2\/7 - 5868*t\/7 + 10744\/7 = 0. Calculate t.\nAnswer: -79, -1, 1, 2, 17","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 11838 is divided by 37?\nAnswer: 35","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(11) - sqrt(44)*-6)**2 + sqrt(11) + (sqrt(539) + (-2 + sqrt(539) - sqrt(539)))**2 - ((sqrt(11) - sqrt(11)*2)*-6)**2*5.\nAnswer: -27*sqrt(11) + 422","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (68 - 187 - 5) + 87.\nAnswer: -37","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((m**0*m\/m**(-2\/5))\/(m**(-1\/4)\/m**(3\/7)))**(-1\/23) assuming m is positive.\nAnswer: m**(-291\/3220)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 42 + -42. Solve 2*i - c + 8 = b, -3*c + 4 + 17 = -5*i for i.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: 2666 divided by -86\nAnswer: -31","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 35632 to the nearest integer?\nAnswer: 33","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 790442248 to the nearest integer?\nAnswer: 28115","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 23 - 11. Suppose 2*j - x = -j. Solve j*i = -0*i - 12 for i.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(w) = -w**2. Let c(k) = 0 + 18*k - 22*k + 0. Give c(h(a)).\nAnswer: 4*a**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -11 - 5 = -4*z. Suppose z*t = 4*d - 1 - 19, 9 = 3*t. Solve w + 3*w = d for w.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 18 + (-17 + 16 - 4).\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 109247741 to the nearest integer?\nAnswer: 10452","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 391609140?\nAnswer: 2, 3, 5, 13, 502063","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 513 to the nearest integer?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -10*n + 202 - 72. Suppose 3*t - y = 12, 4*t - 5 - n = 2*y. Solve -1 = 2*f - 3*l, -t*l + 7 = -2*f + 2*l for f.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(h) = 3*h**3 + 6*h**2 + 6*h. Let z(n) = -n**2 - n. Let u(b) = 2*b**2 + 2*b - 2. Let s be u(-3). Suppose -q - s*q = -11. What is q*a(j) + 6*z(j)?\nAnswer: 3*j**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1813 = 72*p + 904 - 701 for p.\nAnswer: -28","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*b + 0*b - 6 - b)*(-4*b + 0*b + 2*b).\nAnswer: 6*b**2 + 12*b","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve 10*u + 429 = 399 for u.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let a(w) = -w**3 + 14*w**2 + 16*w - 11. Let k be a(15). Solve z + 10 = -k*z for z.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: 11.5 * 0.1\nAnswer: 1.15","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is 0.2 <= -1978\/51?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -2.4 - -1.4. What is the closest to -9 in k, 1, 3?\nAnswer: k","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(t) be the third derivative of -11\/60*t**4 + 1\/15*t**5 + 0 + 19*t**2 + 0*t - 2\/5*t**3 + 7\/300*t**6. Let a(i) = 0. Calculate i.\nAnswer: -2, -3\/7, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -0.17 + 0.17. Let m = 0.6214 - 0.6514. What is the closest to s in 0.5, -4, 2\/5, m?\nAnswer: m","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(l) = 3*l + 1. Let g be r(3). Let b = 11 - 8. Suppose 4*a - 5*a = -h - 24, -b*h - 12 = 0. Calculate the greatest common divisor of a and g.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in -1\/4, -0.16, -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence vl when two letters picked without replacement from ovlvi.\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth root of 12904544 to the nearest integer?\nAnswer: 26","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*d**5 + 125512*d**4 - 983071588*d**3 - 23647966944*d**2 - 141996326976*d = 0. What is d?\nAnswer: -12, 0, 15701","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (-1 - (-1 - 5))\/1. Suppose 3 = 4*n - y. Find the third derivative of 17*j**4 - 4*j**2 + 5*j**n - 6*j**2 - 10*j**2 wrt j.\nAnswer: 408*j","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -5 - -14 - ((0 - 3) + 10).\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Work out 46078 + -24.88.\nAnswer: 46053.12","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((m*m*m**(2\/9)*m*m*m)\/m*m)**(3\/11)\/(m**(-1\/2))**(-24) assuming m is positive.\nAnswer: m**(-349\/33)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is -1\/14057026 smaller than 1?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let q(s) = 5*s**2 + s - 11. Let j be q(-5). Let i = j + -89. Solve 6*d = d + i for d.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -3 + 156.011.\nAnswer: 153.011","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 667 minutes after 8:39 PM?\nAnswer: 7:46 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 43696 is divided by 21?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -2\/9 in -0.3, 6\/43, -448, -3?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Put 37, 0, -38, 1, -25, 3, 5 in decreasing order.\nAnswer: 37, 5, 3, 1, 0, -25, -38","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0.12? (a) -5 (b) -0.5 (c) -2\/13 (d) -7 (e) -6\/29 (f) 22\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2 - 200*t**3 + 198*t**3 - 2.\nAnswer: -2*t**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 4922 and 72439.\nAnswer: 107","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 171.4 + -168.7. Sort 4, 3\/2, l, -1\/46 in ascending order.\nAnswer: -1\/46, 3\/2, l, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 24067 is divided by 312?\nAnswer: 43","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 2770008 and 102490296.\nAnswer: 102490296","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {x: 4, z: 9, e: 3}. Give prob of picking 3 z.\nAnswer: 3\/20","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 970 is divided by 300.\nAnswer: 70","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 1410447?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Expand -1204 - 2*v**3 - 1128 + 2458 + (-2*v**2 + 0*v**2 + v**2)*(0*v + 2*v - 3*v).\nAnswer: -v**3 + 126","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*p - 10 = -4. Let l be (-1 - 0) + 7 + p. Suppose -3*h - 5*t = 14, 4*h + 3*t - t = 0. Solve 2*r + l = -h*r for r.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from lbllbl. What is prob of picking 1 b and 1 l?\nAnswer: 8\/15","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence tg when two letters picked without replacement from {s: 2, g: 3, c: 1, b: 4, t: 2}?\nAnswer: 1\/22","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 211\/5 - 42. Let d(k) = -k**2 - 7*k + 1. Let x be d(-8). Let q = x + 5. Which is the nearest to 1? (a) q (b) w (c) -5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: 164749 (base 12) to base 8\nAnswer: 1350451","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Determine w so that 15*w**5 + 80*w**4 + 115*w**3 - 30*w**2 - 140*w - 40 = 0.\nAnswer: -2, -1\/3, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:24 AM and 3:33 PM?\nAnswer: 669","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*r + 2*o = -2, -5*r + 170*o - 11 = 169*o for r.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 1739942807?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve -363*y - 12*y - 11*y = 308*y + 2082 for y.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:49 PM and 7:38 AM?\nAnswer: 709","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 430 and 85090.\nAnswer: 3658870","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {x: 4, k: 4, r: 2}. What is prob of sequence xxkr?\nAnswer: 2\/105","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -15*o + 1809 = -1671. Suppose -2*w + 186 = 2*w - 3*p, -4*p - o = -5*w. Suppose 160 = 5*s + 40. Calculate the greatest common factor of s and w.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -w - 10*w - 6*w.\nAnswer: -17*w","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is 119341 a multiple of 131?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (k*k**(-1)*k**(-6)*k)\/(((((k*k**(-5))\/k)\/k*k*k*k)\/k)\/(k*(k\/k**(-2)*k)\/k))*k**3\/k**5*(k\/k**3)\/(k\/(k*k\/(k\/k**(-4)))) assuming k is positive.\nAnswer: k**(-5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0.14? (a) -4 (b) 3\/7 (c) 1\/3 (d) -0.3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 667 minutes after 10:50 PM?\nAnswer: 9:57 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let y(v) = -2*v. Let m(w) be the first derivative of 0*w**3 - 13*w + 0*w**2 - 5 - 1\/4*w**4. Let x(d) be the first derivative of m(d). Determine y(x(h)).\nAnswer: 6*h**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is -15410 divided by 67?\nAnswer: -230","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is 1498568759 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -1595 or -4187?\nAnswer: -4187","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 200408409 and 1881.\nAnswer: 171","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: 580 divided by -145\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: (-1 - -2) + 5 + -2 + 0\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in 0.6, -8\/17, -2, 4, 0.084?\nAnswer: 0.084","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 119\/3140 and 9\/7342105.\nAnswer: 29368420","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 200932?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 895.4036 or -2?\nAnswer: 895.4036","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let r(x) = 875160*x - 1430. Let h(t) = -4283*t + 7. Give -1430*h(n) - 7*r(n).\nAnswer: -1430*n","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let u(k) be the third derivative of -k**7\/840 - k**6\/72 - k**5\/120 + k**4\/6 - k**3 - 8*k**2. Let o(q) be the first derivative of u(q). Determine o(-4).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -w - 2*w. Let d = w - 3. Let l be (d\/(-5))\/(1\/15). What is the greatest common divisor of 1 and l?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: 3 * 1.369\nAnswer: 4.107","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -0.0776 - 1.9224. Sort 0, -1\/2, 2, s in descending order.\nAnswer: 2, 0, -1\/2, s","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(t) = 8*t**2 - 17*t + 12. Suppose 2*n = -4*n + 324. Let j = n - 48. List the prime factors of h(j).\nAnswer: 2, 3, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.0095655 rounded to 4 dps?\nAnswer: -0.0096","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let b(h) = -3*h + 20. What is b(6)?\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 0 (base 10) in base 2?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let h(q) = -10*q. Let p(d) = 843*d - 4. Calculate p(h(g)).\nAnswer: -8430*g - 4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*c = -2*c + 10. Are -4 and c nonequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 78 and 1482?\nAnswer: 78","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: 71835 divided by 5\nAnswer: 14367","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(357)*1)\/sqrt(7))\/(sqrt(12) + (sqrt(192) - sqrt(12))).\nAnswer: sqrt(17)\/8","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 6294815.\nAnswer: 5, 97, 12979","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in -0.2, 0.2, -4100151, -0.5?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let f(o) = -14*o - 13. Let x be f(-2). Suppose 13*z - x*z + 6 = 0. Solve 1 = -g - z for g.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(b) = -8*b**2 - 4*b + 1 + 0*b + 1 + 6*b**2. Let y(d) = d**2 + 2*d - 1. What is -4*x(f) - 9*y(f)?\nAnswer: -f**2 - 2*f + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 6 + -10. Suppose 12*p = -28 + 100. Is (-197 + 3)\/(f\/p) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 34 + -30. Suppose -h - r*m + 18056 = 3*h, 0 = 2*h - 2*m - 9024. Is h a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -36*o**4 - 7*o**2*q**2 + 425*o**2 + 52147*o*q**2 - o*q + 14 wrt o?\nAnswer: -432*o**2 - 14*q**2 + 850","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence dodv when four letters picked without replacement from {o: 1, v: 1, d: 2}?\nAnswer: 1\/12","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve -78*d + 4471 = 4081 for d.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 10 = 16*a - 14*a. Let y be (42\/15 - 2)*1915. Suppose 3*q + y = a*u, -4*u - 306 = -5*u + q. Is u a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (-4 - (-34)\/7)\/((-20)\/(-70)). Solve v*p - 8 = -5 for p.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*d**4 + 4414865*d**3 - 64015851*d**2 + 247234015*d - 108164903 = 0.\nAnswer: -2207447, 1\/2, 7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: How many kilometers are there in 0.1117074m?\nAnswer: 0.0001117074","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -8\/21 + 124\/105. Let z = -5987976\/1847 + 3242. Let q = z + -1841\/5541. Which is the nearest to 0? (a) -2\/9 (b) u (c) q\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.02126 to two dps.\nAnswer: -0.02","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.2 minus 82.781?\nAnswer: -82.581","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is 94 a factor of 50666?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 468545235*t + 989098635?\nAnswer: 468545235","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-159*q - 73*q + 94*q)*(-44*q**2 + 39*q**2 - 43*q**2).\nAnswer: 6624*q**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 10*w - 11*w - 781 = 4*j, 0 = w - 3. Let b = j + 197. Which is smaller: -1\/190 or b?\nAnswer: -1\/190","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Subtract 4542.8 from 297121.34.\nAnswer: 292578.54","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is 207214224541 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 52772.\nAnswer: 2, 79, 167","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 32216?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let x(k) = -3*k**2. Let z(h) = -108854*h. Give x(z(g)).\nAnswer: -35547579948*g**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 125973 and 21852?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 17370027 to the nearest integer?\nAnswer: 259","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is 146681 + -6991?\nAnswer: 13a7a0","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is 6 a factor of 11094336?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is 505 a factor of 23766709?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 80167313?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -16 = 5*i - 9*i. Suppose i*c - 92 = -2*k + 8*c, 2*k - c = 89. What is the remainder when 83 is divided by k?\nAnswer: 39","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 4.5 + -5. Let r = 69 - 74. What is the closest to 0.1 in r, -3, w?\nAnswer: w","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 123 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: Let f = -359.6317 - -383.63. Let w = f + -24. Round w to 3 dps.\nAnswer: -0.002","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 329*t**6 + t**2 + 150 wrt t?\nAnswer: 39480*t**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let l(t) = -t**3 + 2*t**2 - 13*t + 2. Suppose -246 + 225 = 3*j. Let u be l(j). Suppose u = -2*s + 140. What is s rounded to the nearest ten?\nAnswer: -200","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(d) = -157*d + 5119. What is w(33)?\nAnswer: -62","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let x(i) = i**3 - 5*i**2 + 3. Let g(b) = -3*b**3 + 20*b**2 - b - 14. Calculate 2*g(r) + 9*x(r).\nAnswer: 3*r**3 - 5*r**2 - 2*r - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is -222101221122 + -110?\nAnswer: -222101222002","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 0.89 - -0.01. What is the third smallest value in 2\/9, 5, d?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 316753680?\nAnswer: 2, 3, 5, 47, 28081","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Convert -2043 (base 5) to base 9.\nAnswer: -333","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -1.9 - -52.9. Let o = i - 23. Let d = o + -27.3. Is 1\/3 bigger than d?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x be ((-1)\/5)\/((-21)\/840). Solve 4*i = -4*p - 24, -3*i - 25*p - x = -24*p for i.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 6 + -10. Let g be (-3 - (2 + j))*-77. Let i = g - 35. What is the greatest common divisor of 126 and i?\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is fourty-four fifths of a litre in millilitres?\nAnswer: 8800","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -144 = -5*v + 2*m, v + 4*m + 36 = 2*v. Let i = 35 - v. Suppose -i = -5*y + 113. Is 6 a factor of y?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(h) = -h**3 + 27*h**2 - 3*h - 99. Is 80 a factor of g(26)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of 2066003, 4132014, 6198025?\n\"Answer: 2066011*o - 8","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -0.0519 - -2.0519. What is the second smallest value in -4, 6, v, 0.03?\nAnswer: 0.03","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 9658509?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -373*u + 924 + 4410 + 6602 for u.\nAnswer: 32","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-7*m - 65*m + 15*m)*(7 - 46 - m - 6)*(-2*m + 2*m - m).\nAnswer: -57*m**3 - 2565*m**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let i(x) = 2*x**2 + 7*x + 1. Let o be i(-6). Let y = o + -47. Let p = -10 - y. Calculate the smallest common multiple of 3 and p.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -94\/21504855 and 113\/556760?\nAnswer: 172038840","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*m - 15 = 5. Suppose 47 = m*p - 238. Let t(h) = 55*h + 1083. Let r be t(-19). What is the greatest common divisor of r and p?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 6.9247611 rounded to one decimal place?\nAnswer: 6.9","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is 126 even?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let l(t) = t**3 + 97*t**2 - 99*t - 133. Give l(-98).\nAnswer: -35","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Divide -4316 by 52.\nAnswer: -83","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the seventh root of 1311813 to the nearest integer?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Factor 3*q**3\/2 + 9*q**2 - 27*q\/2 - 21.\nAnswer: 3*(q - 2)*(q + 1)*(q + 7)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 8*b**4*i + 738*b**3*i - b**2 - 30*b*i + 3*i - 2 wrt b?\nAnswer: 96*b**2*i + 4428*b*i - 2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 9358446 is divided by 3119469.\nAnswer: 39","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {h: 10, z: 2}. Give prob of picking 2 h.\nAnswer: 15\/22","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let y(z) = z**2 + 9163*z - 45902. Determine y(5).\nAnswer: -62","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let r(s) = 39*s + 1838. Let x be r(-47). Solve -4*g = -5*j + 39 - 42, 0 = -x*j - 4*g - 27 for j.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(o) = 13*o**2. Let x(d) = -720422*d. Calculate x(r(k)).\nAnswer: -9365486*k**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let t be 36\/21 + (-2)\/(-7). Find the common denominator of ((-870)\/4)\/(108\/(-4)) and (-1689)\/54 - t\/9.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -134*z + 141*z - 28 = 0 for z.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is 3772876031 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let j(a) = 4*a**2 + 29*a - 169. Determine j(-18).\nAnswer: 605","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Express -g**4 - 6 + 46*g**3 - 98*g**3 + 48*g**3 + 2 as j*g**4 + c*g**2 + o*g**3 + f + d*g and give j.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (11452\/2045)\/((-4)\/(-10)).\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Divide -38 by 19.\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let k(v) = 149*v**3 + 18*v + 4. Let g(s) = -37*s**3 - 4*s - 1. Determine 9*g(t) + 2*k(t).\nAnswer: -35*t**3 - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 30344 and 24?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is (-10)\/5*10\/(-8)*1176\/(-210)?\nAnswer: -14","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 1361913 and 42.\nAnswer: 2723826","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -257 + 161. Let u = h + 497. What are the prime factors of u?\nAnswer: 401","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -63\/10 - -1343\/210. Which is the nearest to 0? (a) -0.3 (b) 5 (c) p\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -25\/14 - -33\/14. Which is smaller: 1 or o?\nAnswer: o","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 306 and 6102.\nAnswer: 103734","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is 4735 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 78\/77 + (-9)\/(-15)*(-100)\/210.\nAnswer: 8\/11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 144742 and 179322?\nAnswer: 52541346","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: ((58 - 28) + -14 + -3 - (1 + -2)) + 109\nAnswer: 123","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*g - 17*u - 59 = -12*u, -3*u = 4*g - 67. Suppose -4*a + g = -2*c, 0*a + 16 = 2*a - 3*c. What is the second smallest value in -6, -4, 1, a?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -89*q - 1216 - 119 for q.\nAnswer: -15","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: (-2 - -112) + (-1 - -2) - (-1807 - -1797)\nAnswer: 121","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (155 - 137) + (-15 - -6 - (-19 + -1)).\nAnswer: 29","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence nnca when four letters picked without replacement from {e: 2, c: 3, n: 2, a: 1, o: 4}.\nAnswer: 1\/1980","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 18.4 + -23.4. Let y = 10 + -6. Let a = -1 + 2. What is the nearest to -3 in i, a, y?\nAnswer: i","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(s) = 531*s**2 - 4*s + 5071. Let v(x) = 1963*x**2 - 17*x + 20285. Let f(i) = 22*h(i) - 6*v(i). What is the derivative of f(y) wrt y?\nAnswer: -192*y + 14","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 56230076 divided by -2?\nAnswer: -28115038","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -0.0601 + 1360.0601. Let p = -1351.87 + b. Let h = p - -2.17. What is h rounded to zero dps?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -35 - ((-10 + 12 - 14 - -10) + -10).\nAnswer: -23","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 6\/12*10\/(-15)*(-150)\/5?\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in -3\/4, 2, 5, 49, -4?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Expand 6*y**3 + 3*y**3 - 3*y**3 + (3*y**3 - 3*y**3 - 2*y**3)*(4 - 6 + 4)*(2 - 3 - 1).\nAnswer: 14*y**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is one sixth of a hour in minutes?\nAnswer: 10","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 3197147467?\nAnswer: 37, 83, 1041077","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let x(f) be the second derivative of 93*f**6\/10 + 177*f**2\/2 - 50*f + 1. What is the first derivative of x(m) wrt m?\nAnswer: 1116*m**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out -0.41 * 18.\nAnswer: -7.38","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -27 + 21 - (-328)\/54 - (-4840)\/270.\nAnswer: 18","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 654 divided by 31?\nAnswer: 654\/31","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 245774 is divided by 113?\nAnswer: 112","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is -320 less than -321?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 20*r = 18*r + 6. Suppose 0 = -5*p + 3*l - 2, l - 14 = r*p - 8*p. Solve p*m = -4, y + m = -0*y - 3 for y.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(g) = 2*g. Suppose -3*f = -2*r + 17, -r + 34 = -5*f + 8. Let c(n) = -6*n - 16. Let y(k) = k. Let l(o) = r*c(o) + 4*y(o). Give m(l(q)).\nAnswer: -4*q - 32","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 2.4684 + -28.5074. Round h to one decimal place.\nAnswer: -26","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: -1 - (1 + 0 + (1 - 2))\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -3357.5 - -3357. What is the second biggest value in o, 1, 148, 5?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -95\/17286 and -47\/54?\nAnswer: 155574","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let y be 6\/(-4) + (-38)\/(-4) + -4. Suppose 0*k = -5*b - y*k - 64, 2*k = -2. Round b to the nearest 10.\nAnswer: -10","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(r) = 3105*r**3 - r**2 - 4*r + 4. Calculate the remainder when a(1) is divided by 69.\nAnswer: 68","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from llvlbellvllvv. Give prob of sequence el.\nAnswer: 7\/156","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -142*p - 428*p + 733392 - 733392 to the form o + n*p and give n.\nAnswer: -570","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 192, 395, 602, 813?\nAnswer: 1028","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Does 15 divide 1395468?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -13002\/7 + 15264411\/8218. Find the common denominator of -83\/20 and g.\nAnswer: 11740","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(w) = 3495*w. Let v(x) = x. Determine a(v(r)).\nAnswer: 3495*r","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (-27)\/30 + (-2)\/(-4). Let z = 0.1 + 0.1. Which is the closest to f? (a) 5 (b) z (c) 0.4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (-2 + -1 + 13)*(-45)\/(-150). Put -2, -223, k, 5 in decreasing order.\nAnswer: 5, k, -2, -223","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(y) = 3*y**2 - 3953*y - 4*y**2 + 15 + 3953*y. Determine a(0).\nAnswer: 15","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(h) be the first derivative of 4*h**3\/3 + h**2\/2 - 2*h - 1. Calculate the remainder when 1\/4 + (-524)\/(-16) is divided by u(-2).\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 521e (base 15) to base 5.\nAnswer: 1023404","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*x - 10 = 4*f, 2*f = x - 0*x - 10. Solve 3*j - x*j + 1 = 0 for j.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many milliseconds are there in 815199.4us?\nAnswer: 815.1994","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is l in l**5\/2 + 4694*l**4 - 728883*l**3\/2 - 369135*l**2 = 0?\nAnswer: -9465, -1, 0, 78","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 2134 and 3078064?\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 47570 and 3607510.\nAnswer: 710","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((18\/(-36))\/(40\/(-25)))\/(9\/(-36))?\nAnswer: -5\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 168 a factor of 189466536?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is -73 != -75?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 2230555.719 rounded to the nearest 100?\nAnswer: 2230600","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (-1)\/(-5) - (-15762)\/15. Suppose -6*u - q = -5155. Is u a multiple of 52?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from zyzzzye. Give prob of picking 1 y and 1 z.\nAnswer: 8\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: -0.03 + 8011\nAnswer: 8010.97","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 4554 is divided by 756.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 3 + -2. Let t(y) = 4*y - 3*y + 5*y - 3*y. What is t(o)?\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) 4144\/11 (b) 1 (c) 19\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -86 + 95. List the prime factors of -302*((-3)\/5 + l\/90).\nAnswer: 151","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (2 - 2*y + y - 2*y)*(104*y**3 - 41*y + 41*y) in the form c*y**4 + v*y + g*y**2 + z*y**3 + f and give z.\nAnswer: 208","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -26 + 46. Let u = 39 - l. Calculate the remainder when 8\/(-28) + 788\/14 is divided by u.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -23 - -23.2. What is the nearest to -1 in 7, -1, j?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is 10212212012 - 211?\nAnswer: 10212211101","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Put -6, -3, 901 in descending order.\nAnswer: 901, -3, -6","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 1 - 5\/6. Let u = -4.814 - 0.086. Let h = u + 5. What is the second smallest value in h, -2, m?\nAnswer: h","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -14871437 at least as big as -14871437?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 g, 1 i, 1 c, and 1 e when four letters picked without replacement from {g: 1, i: 1, c: 1, e: 1, s: 1, w: 2}.\nAnswer: 1\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 24 + -26. Put -6\/7, 2, r in decreasing order.\nAnswer: 2, -6\/7, r","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 6071700 to the nearest 1000000.\nAnswer: 6000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let g be ((-4)\/18)\/(((-728)\/(-117))\/(-28)). Solve -26 = 5*a + 6*s - 4*s, 0 = -4*a + 5*s - g for a.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-2)\/(-8))\/((95\/65)\/19).\nAnswer: 13\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let c(m) = -m**3 - 2*m**2 - m. Let w be c(-2). Suppose -w*n = -3 - 5. Suppose 0 = n*p - 2*s - 134, -5*p - 2*s = 3*s - 205. Does 18 divide p?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: -44862 divided by 17\nAnswer: -44862\/17","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -25\/11688 and -19\/21.\nAnswer: 81816","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 236 minutes after 12:28 PM?\nAnswer: 4:24 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let p(l) = 32 - 45 + 0*l**3 - 10*l**2 - l**3 + 2*l + 13*l. What is p(-11)?\nAnswer: -57","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 z when two letters picked without replacement from {b: 3, z: 9}?\nAnswer: 6\/11","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 81 + -79. Which is the closest to x? (a) 0 (b) 0.5 (c) 0.1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 140 = 6*n - n. Let g be (3 - 76\/n)\/(1\/7). Find x, given that -8*x - 24*x**g + 3*x + 29*x**2 = 0.\nAnswer: 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -516 - -526. Solve -3*f - g = -7 for f.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*h - 24 = i, 36 = -5*h + 4410*i - 4414*i for h.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the tenth root of 7884853 to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 4378, 17346, 38946, 69166, 107994, 155418?\nAnswer: 211426","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 100 and 69210860.\nAnswer: 346054300","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -13*j - 2107 - 266*j**3 + 2108 + 28*j wrt j.\nAnswer: -1596*j","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*g - 10*g - 10 = 2*k, 4*k = 3*g + 6 for k.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 2\/(-10)*((-144)\/54)\/(-8).\nAnswer: -1\/15","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Product of -8230 and -38.\nAnswer: 312740","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Divide -2 by 312.\nAnswer: -1\/156","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {x: 6, u: 5, c: 2, h: 1, o: 1}. What is prob of picking 2 u and 1 o?\nAnswer: 2\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -16*k*x**3 - 5*k*x**2 - k + 167 with respect to x.\nAnswer: -48*k*x**2 - 10*k*x","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let j(v) = 4*v - 14. Let r be j(5). Suppose -309 = -5*m - 2*f, r*m + 5*f = 3*m + 174. What is the tens digit of m?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (13*p**2 - 20*p + 20*p)*(p - 2*p + 2*p).\nAnswer: 13*p**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let x(z) be the first derivative of 5*z**2\/2 + 2*z - 5. Let l(c) = 6*c + 2. Let f be l(2). Let h = f + -17. Calculate x(h).\nAnswer: -13","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 23 + -8. Suppose 2*t + 305 = 5*b - 3*t, -5*t = -z. What is the units digit of b?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 18? (a) -1 (b) -5 (c) 1\/4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 0 + 5. Which is the nearest to 1? (a) s (b) 2\/5 (c) -2\/7\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 13185, 26680, 40213, 53802, 67465, 81220, 95085, 109078?\nAnswer: 123217","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -309*g**3*v**3 + 2*g**3*v - 6*g**3 + 170*g**2*v**3 - 2*g*v**3 - 11*g*v**2 + 30*v - 15 wrt v?\nAnswer: -1854*g**3 + 1020*g**2 - 12*g","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let u(n) be the third derivative of -n**6\/24 - n**5\/12 + n**4\/6 + 3*n**3\/2 + 2*n**2. Let v be u(-6). Let m = v - 472. Is m composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -43\/1111150 and -83\/888920.\nAnswer: 4444600","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -24, 52, 480, 1506, 3376, 6336, 10632?\nAnswer: 16510","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1859 is divided by 187?\nAnswer: 176","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2 = 2*l + 790*h - 793*h, -5*l - h + 12 = 0 for l.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 9*x**3 + 166 + x + 166 - 493 + 161.\nAnswer: 9*x**3 + x","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let i(p) = -3*p - 22. Let y be i(-8). Let c(w) be the second derivative of 0 - w - 1\/6*w**3 - 1\/2*w**y. What is the derivative of c(h) wrt h?\nAnswer: -1","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -4, -3595, -0.2, -0.06.\nAnswer: -3595, -4, -0.2, -0.06","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (5 + 1)*1 - 2. Find the first derivative of -w + h**4 + 5*h**3 + 2*h**3 - 7*h**3 wrt h.\nAnswer: 4*h**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 6593*f - 7 = -k + 6594*f, -4*k = 3*f - 14 for k.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*u**4 + 50*u**3 + 408*u**2 + 1160*u + 800.\nAnswer: 2*(u + 1)*(u + 4)*(u + 10)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 109352?\nAnswer: 2, 13669","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is 81034736 a multiple of 96?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let z(l) = -4*l**2 - l + 2. Let q be z(-2). Let y = q - -21. Solve -3*i - 4*s - 11 = y, s + 22 = -5*i for i.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 0.52 - -0.28. Let u = y + -1.2. Which is the third biggest value? (a) u (b) -3\/5 (c) 1 (d) 4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-297)\/44)\/9*(-272)\/476?\nAnswer: 3\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:45 AM and 10:55 AM?\nAnswer: 490","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*w = 15*l - 20*l + 12, -l = -4*w + 12. Is (-25518)\/w*(-16)\/24 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*y = -5*l + 52, -12 = 34*y - 31*y for l.\nAnswer: 8","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -8839455 - -20859455. What is a rounded to the nearest 1000000?\nAnswer: 12000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 3.5406 to two dps.\nAnswer: 3.54","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let g(d) = -5 + 2*d**2 - 3*d**2 + 10*d**2 + 2 + 3*d. Let c(j) = 18*j**2 + 5*j - 5. Let s = -3637 + 3632. Calculate s*g(x) + 3*c(x).\nAnswer: 9*x**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Find q such that 3*q**2 - 25799202*q\/7 + 11056797\/7 = 0.\nAnswer: 3\/7, 1228533","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve -g - 472 = 35*g - 40 for g.\nAnswer: -12","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let y be 18\/9 + (-9)\/1. Let n = y - -4. Is 103\/n*6\/(-2) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*w + 6*k = 11*k - 70, 0 = -w + 4*k + 34. Calculate the greatest common factor of 369 and w.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 1560 and 9263670.\nAnswer: 390","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -4.1 + -52.9. Let v = g + 56.99999961. Round v to 7 decimal places.\nAnswer: -0.0000004","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*w = 7*w + 5*p + 1, -2*p - 4 = 0. Put -5, w, -3, -2 in increasing order.\nAnswer: -5, -3, -2, w","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 2472 + -2472.02746. Let k = v - -14.93246. Let z = 15 - k. Round z to 1 dp.\nAnswer: 0.1","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1863 is divided by 537?\nAnswer: 252","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Convert 5479.278t to kilograms.\nAnswer: 5479278","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -958899 - -958893.99997. Let o = w + 5. What is o rounded to five dps?\nAnswer: -0.00003","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-15 + (-1017)\/(-68))\/(3\/8).\nAnswer: -2\/17","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:45 PM and 5:14 PM?\nAnswer: 149","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3*q + 3*q + q)*(-15 + 0 - 7)*(6*q**3 + 168 - 168).\nAnswer: -132*q**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 61180 rounded to the nearest 1000?\nAnswer: 61000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -r - r = 6. Let j be 1\/r - (-3276)\/27. What is the highest common divisor of j and 11?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: -1831 + 0.68616835897\nAnswer: -1830.31383164103","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve -56 + 67 = 5*m + k, -4*m - 123*k + 125*k + 3 + 3 = 0 for m.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve -381*l + 6229 = -884 - 507 for l.\nAnswer: 20","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let o**5\/2 - 8615*o**4\/2 - 3*o**3 + 25849*o**2 - 68923*o\/2 + 25845\/2 = 0. Calculate o.\nAnswer: -3, 1, 8615","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 79*k - 839370 + 211170 - 880700 = 0. What are the prime factors of k?\nAnswer: 2, 5, 191","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q be 3\/(-6) - 15\/(-6). Let v(l) = l - l**2 + 9 + 6*l**q - 4*l**2. Suppose 2*w - w = 0. Calculate v(w).\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(z) = -3*z**3 + 5*z**2 + 4*z. Let h(d) = 6*d**3 - 9*d**2 - 7*d. Let v be (12 - 0)*((-7)\/14 - 0). Give v*h(g) - 11*r(g).\nAnswer: -3*g**3 - g**2 - 2*g","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 211 + -93. Let x = 121 - u. Let 1\/5*w - 1\/5*w**x - 2\/5*w**2 + 2\/5 = 0. Calculate w.\nAnswer: -2, -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 135322 or 135323?\nAnswer: 135323","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 3092476 (base 10) in base 3?\nAnswer: 12211010002011","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 398591 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*p - p - 15. Let q be (-12)\/(p + 2) + (6 - 2). Solve -4*d + 6*t = 3*t + 13, d - 5*t + q = 0 for d.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 11*k - 28045530 = 18254812. Let i = k - 13009122. What is i rounded to the nearest 1000000?\nAnswer: -9000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1654 is divided by 167.\nAnswer: 151","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -65*n + 0*n + 6*n to the form s*n + m and give s.\nAnswer: -59","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 1246 and 616?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -219*v + 53*v - 133*v to the form w*v + i and give w.\nAnswer: -299","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let i be 18\/9 + 6\/(-4). Let z = -1150\/9 - -128. Which is the third smallest value? (a) i (b) 2 (c) z\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence wjdd when four letters picked without replacement from wddddwjjw?\nAnswer: 1\/42","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of 877290, 3509241, 7895828, 14037051, 21932910, 31583405?\n\"Answer: 877318*a**2 - 3*a - 25","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -0.374 - -0.774. Which is the biggest value? (a) q (b) 5 (c) -0.5 (d) 7\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 34 - 18. Suppose -6 = d + 2*d. Let s = d - -12. What is the smallest common multiple of v and s?\nAnswer: 80","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put together -4.5571 and -56888167.8.\nAnswer: -56888172.3571","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:41 PM and 3:44 PM?\nAnswer: 63","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0 in 0.3, 0.7, -4\/9, 4?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -16 + 15 - 12*s + 10*s to the form l*s + u and give u.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is 8977 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from qhqnhqnqnnqnnes. What is prob of picking 1 q, 1 e, and 2 h?\nAnswer: 1\/273","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let f(b) be the second derivative of b**5\/80 - b**4\/32 - b**3\/4 - 5*b**2\/2 + 6*b. Let y(j) be the first derivative of f(j). Determine a so that y(a) = 0.\nAnswer: -1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -0.1 in -4, -13, -7, -2\/17, 5630?\nAnswer: -2\/17","meta":{"dup_signals":{},"source":"comparison__closest_test"},"subset":"dm_maths"} +{"text":"Question: Simplify -6*((sqrt(144)\/sqrt(3)*-2 - -1*sqrt(192))**2 + -1).\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) 34 (b) 2 (c) 0\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 19*r + 20*r - 126 - 41*r.\nAnswer: -2*r - 126","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-1 + sqrt(637))**2*-2 - (4*(1 + sqrt(637)) - sqrt(637)))*5.\nAnswer: -6400 + 35*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in 0, -10, -5?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let s(n) = 8*n - 30. Let g be s(4). Let j(b) = -1 + 2*b**2 + 4 - 8*b + 3*b**g - 4*b**2. Let w be (-1)\/(-8) + (-390)\/(-80). Calculate j(w).\nAnswer: -12","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(w) be the first derivative of -38*w**3\/3 + 7264. Let a(l) = -1025*l**2. Determine 3*a(u) - 82*z(u).\nAnswer: 41*u**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(1008) + 0)*6 - (sqrt(1008)*1)**2*-6.\nAnswer: 72*sqrt(7) + 6048","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Does 5 divide 29459?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let a(z) = -3*z**3 + 7*z**2 - 417*z - 270. Determine a(0).\nAnswer: -270","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Expand (j + 3*j - 3*j)*(0*j + j - 3*j) + (-2 + 7 + 3)*(-5*j**2 + j**2 + 2*j**2).\nAnswer: -18*j**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-4)\/56)\/(52\/91).\nAnswer: -1\/8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(x) = x**3 + 5*x**2 - 7*x - 4. Suppose -11*f + 153 - 219 = 0. What is s(f)?\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 172 + 22. Let t = 184 - j. Let a(n) = n**2 + 10*n - 8. What is a(t)?\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many milligrams are there in 53\/5 of a gram?\nAnswer: 10600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -1397, -1923, -2449?\nAnswer: -2975","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Convert -32887 (base 10) to base 5.\nAnswer: -2023022","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 811 to the nearest integer?\nAnswer: 28","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 4581\/5 - 904. What is the common denominator of o and (6 + (-186)\/15)\/(7\/2)?\nAnswer: 35","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 3*t**5 + 0*t + 0*t + (0*t + 4*t - 2*t)*(6*t**4 - t**4 - 3*t**4) + 0*t**5 + 2*t**5 - 4*t**5 + 3*t**5 + 2*t**5 - 4*t**5.\nAnswer: 6*t**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in 0.2, -1, -0.4?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -2\/13 in 0.4, 2, 1, -1.2?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from nvfnvvnvnnqfvvqnvvq. Give prob of sequence qqnf.\nAnswer: 1\/1292","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(14)\/(sqrt(21)\/sqrt(3)) + (2*sqrt(2) + sqrt(2) + 2)**2.\nAnswer: 13*sqrt(2) + 22","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 31*o + 30 = 5*f + 36*o, 4*f - 5*o = 6 for f.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 3889 is divided by 3523.\nAnswer: 366","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Total of -1097318 and 1915.91.\nAnswer: -1095402.09","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let p be ((-2)\/16)\/((-3)\/(-24)). Let h be 6\/(-20) + 4\/(-20). Which is the nearest to h? (a) -17\/3 (b) 4 (c) p\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*m + 6 = -3*y + 3, -3*y - m = 18 for y.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 103894 is divided by 148?\nAnswer: 146","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is -1594 minus -77025?\nAnswer: 75431","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 37\/159 and 10\/21.\nAnswer: 1113","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let s(t) = t**3 + 13*t**2 + 12*t - 4. Let q be s(-12). Let o(y) = -y**2 - 4*y. Let b be o(q). Solve 4*g + g = b for g.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 5 + -48392028.\nAnswer: -48392023","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 50 and 874.\nAnswer: 21850","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let i(a) = -a**3 - 6*a**2 - 10*a - 3. Does 9 divide i(-7)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(u) = -u - 1. Let y(t) = -t**3 - t - 1. Let k be -1 + (2 + 2 + -4)\/1. Determine k*y(c) - z(c).\nAnswer: c**3 + 2*c + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2*f + 82*f - 86*f.\nAnswer: -2*f","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 219490758 and 18.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:00 PM and 8:56 PM?\nAnswer: 236","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -576*p - 1418.\nAnswer: -576","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 4689?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 267636*k + 267423*k + 267837*k - 802506*k.\nAnswer: 390*k","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: -352510 (base 12) to base 7\nAnswer: -10155600","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is -338126 less than -194.9?\nAnswer: 337931.1","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve -f = 3, 0 = 242*y - 240*y + 5*f + 13 for y.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 1 in -8, -0.033, 1\/5, 0.7, -78, -1\/4?\nAnswer: 0.7","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 2021851 and 1131.\nAnswer: 377","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: 2 (base 5) to base 4\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 18*l**3 + 80566*l**2 - 1559666 wrt l?\nAnswer: 54*l**2 + 161132*l","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) -264 (b) 0 (c) -0.02\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let r(b) = -b**2 + b + 31. What is the units digit of r(0)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(t) = 5*t**3 - 103*t**2 - 36*t - 45. Calculate u(21).\nAnswer: 81","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let d(m) be the first derivative of -m**2\/2 + 15. Suppose 5*y - 51 = 4*r - 19, r = -2*y + 5. Give d(y).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Are -291 and -1454\/5 non-equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: 6109 divided by 3\nAnswer: 6109\/3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 173\/240 and 13\/528?\nAnswer: 2640","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (6*-1*sqrt(1134)*3)\/((sqrt(144)\/sqrt(8))\/sqrt(9) + (sqrt(2) - 6*(sqrt(2) - (sqrt(2) + -3*sqrt(2))))).\nAnswer: 81*sqrt(7)\/8","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 1832 + -1832.171. Which is smaller: 2\/7 or a?\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 2928\/(-26840)*(-800)\/432*4*(-15)\/(-40)?\nAnswer: 10\/33","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Convert -273de (base 15) to base 16.\nAnswer: -1eb3f","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of 6189, -4135, -14459, -24783?\n\"Answer: -10324*k + 16513","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 10527 + -7164. What is the hundreds digit of y?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(w) = -13*w**5 + 5*w**3 + 5*w**2 + 5*w. Let m(r) = -12*r**5 + 6*r**3 + 5*r**2 + 6*r. Let x(s) = 5*m(s) - 6*u(s). Find the third derivative of x(n) wrt n.\nAnswer: 1080*n**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 x when two letters picked without replacement from kxkkaxk.\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let x(p) = 10*p. Let s(d) = -2*d. Suppose -2*i = -4*i - 4*a - 28, -a - 31 = 2*i. Let l(w) = i*s(w) - 3*x(w). Let j(m) = m**2. Determine l(j(y)).\nAnswer: 2*y**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*d**5 + 184*d**4 - 19236*d**3 - 1656*d**2 + 172800*d = 0 for d.\nAnswer: -96, -3, 0, 3, 50","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 7994 is divided by 80.\nAnswer: 74","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let j(y) = -3*y + 1. Let d(f) = -13096*f + 4911. What is -d(u) + 4911*j(u)?\nAnswer: -1637*u","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 3\/2 + -25\/14. Let h be 2 - 0 - 1 - 0. Suppose -3 = -4*a + h. Which is bigger: y or a?\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -49\/862128 and -9\/8429696.\nAnswer: 75867264","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) -3\/7 (b) 0.08 (c) -0.4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Put -120, -1, -2884 in descending order.\nAnswer: -1, -120, -2884","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve 49*j - 246 = -87*j + 26 for j.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 520 and 4.\nAnswer: 520","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is 3258797 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let q(d) = -d**3 + 6*d**2 + d + 2. Let k be ((-10)\/6)\/((-20)\/72). Let g be q(k). Suppose -g*l + 40 = -0*l. Solve -m = 3*u - l*m - 16, 0 = u - 4*m - 16 for u.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(q) = -22*q**2 + q + 5. Let z(r) = -65*r**2 + 6*r + 14. Determine -17*g(a) + 6*z(a).\nAnswer: -16*a**2 + 19*a - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let z(y) = 2*y**2 - y + 1. Let i be z(2). Suppose 4*w = n - i, 2*n - 13 = 5*w + 4. What is the smallest common multiple of n and 6?\nAnswer: 66","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (38\/(-12) + (-16)\/(-24))*2. Let c = l + 3. Let t be (183\/(-2))\/(-1) + c\/4. What is the greatest common factor of 13 and t?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -154 - -156. What is the third derivative of 23*f**p + 5849 + 20*f**4 + 3*f**5 - f**4 - 5847 wrt f?\nAnswer: 180*f**2 + 456*f","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 59947 - -44512. Is q a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 5*q - z - 5, 0*z - 33 = -4*q - 5*z. Let o be 4 - (9 - (3 + -6)). Let m be (6\/(-5))\/(o\/20). Solve 3*h - q*h = m for h.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 5*(((3 + sqrt(2) - sqrt(2)) + 1)**2 - (sqrt(50) + 4)).\nAnswer: -25*sqrt(2) + 60","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (2\/(-6)*(-381)\/(-1016))\/(21\/(-24)).\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -28*y = -156214 + 11398. What is the highest common factor of 12 and y?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -92 - -45 - -47 - 2?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_test"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-30)\/(-25))\/((-160)\/192)*-9 - 13.\nAnswer: -1\/25","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 3294 is divided by 21?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*w + 26 - 4. Suppose 5*o - 20 = -4*j - j, -41 = -5*o + 2*j. Let f = o + w. Put 0, -2, f in increasing order.\nAnswer: f, -2, 0","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(k) be the second derivative of -k**8\/20160 - k**7\/7560 - k**4\/2 - 15*k. Let r(t) be the third derivative of y(t). Factor r(m).\nAnswer: -m**2*(m + 1)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 16 - 25. Let b be g\/27 + (-1)\/(-3). Suppose -4 = -b*s - s. What is the units digit of s?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of 59, 222, 497, 884, 1383, 1994, 2717?\n\"Answer: 56*i**2 - 5*i + 8","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (14\/((-672)\/(-36)))\/(-1*(-3)\/(-48)).\nAnswer: -12","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let n(a) = 3*a**2 - 1. Let w be n(-1). Suppose -291 = w*j + 65. Let h = -101 - j. List the prime factors of h.\nAnswer: 7, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -2*b**5 - b**5 + b**5 + (5*b**2 - b**2 - 2*b**2)*(-4 + 4 - 2*b**3) + 0*b**5 - 6*b**5 - 2*b**5.\nAnswer: -14*b**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 582035 and 590.\nAnswer: 295","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (-1215 - (1 + -3)) + (14 - 15). Is -1216 < b?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 600 is divided by 163?\nAnswer: 111","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*i - 577 = 647. What is the tens digit of i?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -19 + 24. What is the third derivative of 19*z**2 + 1237*z**4 - 1237*z**4 - 12*z**m wrt z?\nAnswer: -720*z**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(g) = -2*g**2 + 41*g - 164. What is q(15)?\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*p = -5 - 1. Let z(q) = -3*q**2 - 1972*q**3 - 752*q**3 + 725*q**p. Let r be z(3). What is r rounded to the nearest 10000?\nAnswer: -50000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((s**(-1\/3))**(2\/15)*(s\/(s*s*(s*s**(2\/21))\/s*s*s*s)*s)\/(s\/s**(2\/3)))\/(s**(-7)\/s**1*s**(1\/4)*s\/(s**6*s)) assuming s is positive.\nAnswer: s**(12949\/1260)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 21847 to the power of 1\/7, to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from sdsdkdsdssksdkuk. What is prob of picking 1 u and 2 s?\nAnswer: 3\/112","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (f**(-18)*f**(-1\/14)*f**(-4)\/f**(-5\/2))**(1\/24) assuming f is positive.\nAnswer: f**(-137\/168)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -1848, -7322, -16446, -29220, -45644, -65718?\nAnswer: -89442","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 279 - 157. List the prime factors of m.\nAnswer: 2, 61","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -2754 + 2753. What is the fourth biggest value in d, 49, -4, 6?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 49455979 to the power of 1\/4, to the nearest integer?\nAnswer: 84","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:49 AM and 11:32 AM?\nAnswer: 463","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of -28, -58, -88?\n\"Answer: -30*u + 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) 239 (b) -2\/3 (c) 10 (d) -9\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let t(j) = -2*j - 3. Let k be t(-9). Let n(q) = q - 2. Calculate n(k).\nAnswer: 13","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 2963996 is divided by 780?\nAnswer: 776","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of -35035, -35044, -35055, -35068, -35083, -35100?\n\"Answer: -z**2 - 6*z - 35028","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let j be ((-18)\/8 - -2)*-4. Let h be 5\/(-50) + j\/2. Let z be (-2)\/6 - (-8)\/(-84). What is the nearest to h in -3, 2, z?\nAnswer: z","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n be 0 - -1 - 14\/8. Suppose 1 = 2*r - m - 6, 0 = r - 5*m - 8. Suppose -v - 17 = -r*c, c = -5*v + 2*c - 15. Which is bigger: n or v?\nAnswer: n","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is 1011010011 + -111?\nAnswer: 1011001100","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Expand (1 - 1 + 5*x**3)*(-754 - 49 + 1658 + 4441).\nAnswer: 26480*x**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is 0 + 11003?\nAnswer: 11003","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 84543 to the nearest integer?\nAnswer: 291","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: -2 (base 8) to base 2\nAnswer: -10","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 i, 1 q, and 1 f when three letters picked without replacement from {q: 1, i: 1, z: 1, w: 1, g: 1, f: 2}?\nAnswer: 2\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(18) + sqrt(72))*6)**2.\nAnswer: 5832","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 859.7694 rounded to the nearest 100?\nAnswer: 900","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from pdgogupnpguoodo. Give prob of picking 2 d and 1 n.\nAnswer: 1\/455","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-23 - 8211\/(-345))\/(2\/(-35)).\nAnswer: -14","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is 413367407581 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is -5554011 (base 6) in base 14?\nAnswer: -73c11","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 1547361323 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((a**(-2\/7)*a*a*a)**(-15\/8)*(a**0)**(-1\/14))\/(a**(2\/17)\/a**(2\/5)*a**(-1)*a**(-3)\/a) assuming a is positive.\nAnswer: a**(919\/4760)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 50488*i**3*p**2 - 5*i*p**2 - 60 wrt i.\nAnswer: 302928*i*p**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of 9528, 18880, 27932, 36534, 44536?\n\"Answer: -25*a**3 + 9527*a + 26","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 2789836331 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is 13577803 a multiple of 110?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let g(a) = 13*a - 14. Let i(l) = 2*l + 50. Let q(y) = 3*y + 80. Let o(t) = -8*i(t) + 5*q(t). What is g(o(p))?\nAnswer: -13*p - 14","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Does -8904 = -62\/9?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: 0 + (4 - (0 + 2 - 3))\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 2 + -3 - ((-3 - 1) + 1)?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let i(x) = 21*x**3 - 7*x**2 - 7*x - 2. Give i(-1).\nAnswer: -23","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*i - 3 = -2*i for i.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2*p**2 - 8 + 31 - 36 - 158.\nAnswer: 2*p**2 - 171","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -2.3? (a) -18 (b) -7 (c) 2 (d) -1\/7\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: -156460 divided by -2\nAnswer: 78230","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 1248 - 3806\/3. What is the common denominator of 59\/6 and q?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-y**2 - 2*y**2 + 5*y**2)*(34 - 18 + 6*y - 12).\nAnswer: 12*y**3 + 8*y**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in 0.5, 15\/11, -2\/15, 1426\/9, -0.36?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 14614?\nAnswer: 2, 7307","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((l\/(l**(-2\/9)*l))\/((l\/(l*l*l\/(l**(-4\/9)\/l)))\/l))**12)**(3\/43) assuming l is positive.\nAnswer: l**(168\/43)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -773*h**2 + 860*h?\nAnswer: -1546","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of 2345, 2219, 1899, 1289, 293, -1185, -3241, -5971?\n\"Answer: -16*z**3 - z**2 - 11*z + 2373","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is 23 - -22?\nAnswer: 100","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let v(x) = x**2 - x - 1. Let k(t) = -4*t**2 + 10*t + 11. Let w(m) = -k(m) - 5*v(m). Determine w(-5).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(r) = 277*r**4 - 133. Let b(a) = -832*a**4 + 398. Let l(k) = -4*b(k) - 11*j(k). Find the first derivative of l(z) wrt z.\nAnswer: 1124*z**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many micrometers are there in seventeen quarters of a millimeter?\nAnswer: 4250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 549 minutes before 5:05 PM?\nAnswer: 7:56 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 1419 and 34572?\nAnswer: 129","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let x(a) = 83*a - 17. Let s(v) = 27*v - 6. Give -17*s(i) + 6*x(i).\nAnswer: 39*i","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (b**(1\/7)\/(b\/b**(-2\/53)))\/(((b**1*b*b)\/b)\/(b**6\/b*b*b)) assuming b is positive.\nAnswer: b**(1523\/371)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-823 + 597 - 927)*(-2*h**2 + 0*h + 5*h + 0*h**2) to l + f*h + p*h**2 and give l.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 37314 and 33228.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-1 + sqrt(2) + sqrt(2) + 3 - (sqrt(2) + sqrt(2)*2)*1)**2.\nAnswer: -4*sqrt(2) + 6","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 3356.273 days in hours?\nAnswer: 80550.552","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let r be 3\/((-27)\/(-3))*0. Suppose 2 = 2*f - r. Which is greater: f or -2\/65?\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(j) = j**3 - 14*j**2 - 2*j + 13. Let w be d(14). Let k = w - -168. Is 17 a factor of k?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 4376?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence cfy when three letters picked without replacement from {f: 4, o: 1, c: 7, y: 1}?\nAnswer: 7\/429","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: 14 * -0.298115\nAnswer: -4.17361","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:31 PM and 9:19 AM?\nAnswer: 708","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 23880557*k**3*l - 15736955*k**3 - 2 wrt l?\nAnswer: 23880557*k**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -4*n - 1030*n**2 + 2064*n**2 - 1031*n**2 + 4*n.\nAnswer: 3*n**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -w + 51 + 33 = 0. Suppose 0 = -3*u + 5*f - 1, 0*f = -u - f + 5. Let l be 3 + ((-3)\/u - -10). What is the highest common factor of l and w?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -4, -7, 10 in descending order.\nAnswer: 10, -4, -7","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -33689, -33690, -33691, -33692?\nAnswer: -33693","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*s = s - 88. Let k = s - -61. Calculate the remainder when (-338)\/(-7) + 2\/(-7) is divided by k.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 66 - 63. Let k be -16*(-3)\/12 - (1 - 0). Solve -3*m = i, -k*g + m = 2*g + 14 for g.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (10 - 2)*((-4)\/(-8) - 0). Is (-1162)\/21*(-6)\/k composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: 10 (base 3) to base 2\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -197*n - 114*n + 200*n - 246*n - 40*n - 456*n.\nAnswer: -853*n","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*c - c = 0. Let o be 4*((-150)\/(-8))\/(-5). What are the prime factors of 5*(c - 12\/o)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -183 + 188. Solve 0 = -4*r + 7*r - p + 9, g*r + 15 = p for r.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 202\/9 - 703\/36. What is the common denominator of p and 67\/20?\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in five halves of a litre?\nAnswer: 2500","meta":{"dup_signals":{},"source":"measurement__conversion_test"},"subset":"dm_maths"} +{"text":"Question: What is 43 + 1 + -38 - (1 - 0)?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 490 minutes after 4:24 AM?\nAnswer: 12:34 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -0.6 in -1, -5233, -2\/19?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -1\/477 or 1?\nAnswer: -1\/477","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 7\/37 - -11\/333. Let g = -0.02 - -5.02. Let l = -4 + g. Which is the nearest to l? (a) -3 (b) 0 (c) p\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is -6ebb4 + 7?\nAnswer: -6ebac","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 0.7 - 0.7. Let s = 1 - 2. What is the closest to s in u, -2\/7, 2\/5?\nAnswer: -2\/7","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 19201, 38405, 57609, 76813?\nAnswer: 96017","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*x - 2*g + 5 = -0*x, -4*x + 5*g + 5 = 0. Let z(t) = -t**2 - 8*t - 7. Let d be z(x). Suppose 0 - 2 = -f, -4*b = -4*f - d. Solve -b*a = -3*a for a.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 37.61 times -13?\nAnswer: -488.93","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (-10)\/(-3)*(-105)\/(-35) + -6 + -21. Let m(c) = 22*c + 377. Calculate m(a).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: 16681334*0.2\nAnswer: 3336266.8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 3.4 + -3.6. Which is the closest to 2\/13? (a) p (b) -3\/4 (c) 3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-6*((sqrt(90) + (sqrt(90) + 1*sqrt(90) + sqrt(90))*4 + sqrt(90))\/(sqrt(80)*-1))\/((-1*sqrt(864))\/((2*sqrt(144) - sqrt(144)) + sqrt(9))))**2.\nAnswer: 33075\/16","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*c**2 - 27*c - 60 = 0 for c.\nAnswer: -5, -4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 0 + 0.15. Let x = j + -0.05. Let p = -35 + 33. Which is smaller: x or p?\nAnswer: p","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 14*y + 764948 = -1405052. What is y rounded to the nearest 10000?\nAnswer: -160000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (-96)\/(-288) + (-62)\/6. Suppose 0 = 4*o + 4. Sort 3, y, o in increasing order.\nAnswer: y, o, 3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -31 - -69. Let r = n + -38.42. Let q = r - 0.08. What is the smallest value in q, 0.3, 5?\nAnswer: q","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(m) be the third derivative of -544*m**5\/15 + 57*m**2. Let o be d(5). Round o to the nearest ten thousand.\nAnswer: -50000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 12 (base 4) in base 5?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (-11 - (-104)\/10) + 7. Find v, given that -64\/5 - z*v - 4\/5*v**2 = 0.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0.1 in -0.2, -42, 8.1?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:43 PM and 7:58 PM?\nAnswer: 315","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 157113 and 81466?\nAnswer: 2199582","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 119745?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 114.53 - 106.547. Let q = 8 - t. What is q rounded to two dps?\nAnswer: 0.02","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 39 = 3*f + 4*h, 2*h = 3*f - 0 - 21. Let x be (-19)\/(-1) + 1\/(-1). What is the greatest common factor of f and x?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 28365 - 5451. Does 18 divide m?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 39? (a) -0.02 (b) 3\/8 (c) 4 (d) 9\/16\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 6*r - 4*r + 12. What is the remainder when 3 - -6 - (r + -452) is divided by 13?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sum -79 and -3229600879.\nAnswer: -3229600958","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -351, -1480, -3335, -5904, -9175?\nAnswer: -13136","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 10545.\nAnswer: 3, 5, 19, 37","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1748 = 4*t + 43*t - 385 for t.\nAnswer: -29","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth smallest value in -2\/5, 4\/9, -4, -2739, -1?\nAnswer: 4\/9","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let u(a) = -a**3 - 53*a**2 + 9*a + 15. Let b(m) = -m. Let w(c) = -4*b(c) - u(c). What is the remainder when w(-53) is divided by 63?\nAnswer: 61","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-172)\/1118)\/((-8)\/13)?\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let c be -1*(-1 + 2 - (-48)\/(-44)). Let n = -89 - -93. What is the fourth biggest value in n, c, 2, 0.5?\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p be 40\/14 - (9 - (6 + -3)). Are -0.1 and p equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1196 is divided by 11?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 13*z - 8 = 5. Solve z = 2*p - 3 for p.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 8478053 is divided by 112?\nAnswer: 101","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Put -1, -1195, -76, -5, 3 in descending order.\nAnswer: 3, -1, -5, -76, -1195","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between -686767806 and -0.1?\nAnswer: 686767805.9","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.002465 rounded to four decimal places?\nAnswer: -0.0025","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 782.\nAnswer: 2, 17, 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: 11101101111010 (base 2) to base 12\nAnswer: 898a","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -31*s**5 - s**4*y - s**2*y - 3*s*y + 14*s wrt s.\nAnswer: -620*s**3 - 12*s**2*y - 2*y","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 3.3 + 1.7. Which is the third smallest value? (a) 0.09 (b) -3 (c) t\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:27 AM and 6:33 AM?\nAnswer: 366","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -38, -68, 42, 430, 1234, 2592?\nAnswer: 4642","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 6191863949 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 5174?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between 13814392 and 18?\nAnswer: 13814374","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*t + t - 9 = 0. Let s = t + 6. What are the prime factors of s?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -93\/2 + 47. Which is the fourth smallest value? (a) f (b) -5 (c) 0.01 (d) 4\/3\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 659 = -82*n - 407 for n.\nAnswer: -13","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 138 is divided by ((-14)\/5)\/((-1)\/10).\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -o - b = -6, 0*b + 22 = 5*o - 3*b. Suppose -o*a - 7 = 3. Let n be ((-3)\/2)\/(3*a\/144). What is the greatest common divisor of n and 24?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is 10101 - -100001100010?\nAnswer: 100001110111","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.14855834 minus -0.5?\nAnswer: 0.35144166","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 20 = c + 3*z - 5*z, 0 = -2*c + 2*z + 36. Suppose -277 + 59 = -3*w - n, -4*n = -8. Suppose -21 = -3*l + w. What is the remainder when l is divided by c?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of -10990, -11019, -10954, -10795, -10542?\n\"Answer: 47*r**2 - 170*r - 10867","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Round -725328017.7 to the nearest 10000.\nAnswer: -725330000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -0.14139 and -1.27.\nAnswer: 0.1795653","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let d(c) = -c**3 - 4*c**2 + 10*c + 4. Let x = 12 - 19. Let k be d(x). Round k to the nearest 10.\nAnswer: 80","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a be -2*2*12\/(-32). Let u = 5\/3 - 7\/3. Put u, a, -6 in descending order.\nAnswer: a, u, -6","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 1357?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of -6, 4, 26, 66, 130, 224?\n\"Answer: z**3 + 3*z - 10","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let o(r) = r + r - 3*r - r**2. Suppose -10*b + 15*b - 3*g - 636 = 0, 2*g = 4*b - 508. Let l be (3\/(-1))\/(b\/84). Calculate o(l).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 766?\nAnswer: 2, 383","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Determine i so that -2*i**5 + 5020*i**4 - 4980*i**3 - 95440*i**2 + 245942*i - 150540 = 0.\nAnswer: -5, 1, 2, 3, 2509","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-8)\/432*-9*(-5)\/65*4?\nAnswer: -2\/39","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let m(k) = 7*k - 174. What is m(23)?\nAnswer: -13","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 24214, 24213, 24212, 24211, 24210, 24209?\nAnswer: 24208","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1754*l - 1738*l = -z, 0 = -4*l + 4 for z.\nAnswer: -16","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let d be 40\/(-45)*((-2)\/(-8) + -1). Let g = -76 - -69. Which is the closest to d? (a) 4\/7 (b) g (c) 0.4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -15*q = -45*q - 120 for q.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: 4150.37 times -0.04\nAnswer: -166.0148","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 1 + 29*t**2 - 26*t**2 + 51*t**2.\nAnswer: 54*t**2 + 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 335079?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Put 1055, 1, -4 in decreasing order.\nAnswer: 1055, 1, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let z(d) = -3202*d**3 - 3*d**2 - 5*d + 1. Let w(c) = 9605*c**3 + 8*c**2 + 14*c - 3. Let r(j) = 3*w(j) + 8*z(j). Let q be r(1). Round q to the nearest 1000.\nAnswer: 3000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (4*2 + 2)\/2. Suppose -4 = -2*d, -4*a + 0*a = -d - 18. What is the derivative of 5 + 4 + 7*s - a - c wrt s?\nAnswer: 7","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*t + 4*f = -0 + 15, 20 = -4*t + 2*f. Let g(b) = 10157*b - 15. Let s be g(t). Round s to the nearest 10000.\nAnswer: -50000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many seconds are there in 26\/5 of a hour?\nAnswer: 18720","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 14752?\nAnswer: 2, 461","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -78*a + 1593 - 4011 for a.\nAnswer: -31","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve -g - 6*g = 0 for g.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let q(w) = -76*w. Let b be q(-1). Let l(c) = -b*c - 78 + 71 + 8*c. Is l(-4) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 233 and 333.9.\nAnswer: 77798.7","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -1, -3, -5, -7, -9?\nAnswer: -11","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the billions digit of 6744320077?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is -12770000 rounded to the nearest 100000?\nAnswer: -12800000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence eem when three letters picked without replacement from {m: 6, z: 4, t: 4, e: 4}.\nAnswer: 1\/68","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 25435 to the power of 1\/2, to the nearest integer?\nAnswer: 159","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 963, 3872, 8721, 15510, 24239, 34908?\nAnswer: 47517","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 7873009 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.0874008 to two dps.\nAnswer: 0.09","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0.1? (a) 1\/3 (b) 0.05 (c) 4.1 (d) -3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Convert 101 (base 2) to base 6.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*f - 2*t - 18, 0 = -5*f + 3*t - 0 + 5. Sort -4, 3, -3, f in ascending order.\nAnswer: -4, -3, f, 3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth biggest value? (a) 1\/5 (b) 585 (c) -2\/11 (d) 2\/23 (e) -2\/3\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0? (a) 0.05 (b) -5 (c) -0.5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let q(j) be the third derivative of -1\/60*j**5 - j**2 - 5\/24*j**4 + 0 + 0*j + 1\/3*j**3. Let u be 2\/((-9)\/(-15) + -1). Determine q(u).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 748 and 116127?\nAnswer: 187","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -1 + 6. Suppose -214 = b - 2*a, -x*b + a - 431 = -3*b. Let w be (-16)\/(-6)*b\/(-8). Calculate the highest common divisor of 9 and w.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1.2183 rounded to one dp?\nAnswer: 1.2","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (4\/(-6))\/(120\/(-18) - -6). Let y(o) = 296*o**3 - 1. What are the prime factors of y(f)?\nAnswer: 5, 59","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(l) = -10*l + 64. Let d be y(6). Suppose 0*b = 4*k - 4*b - 108, 0 = d*k + 2*b - 120. Is k even?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(u) be the first derivative of -u**3\/6 - u**2\/2 - u\/2 - 5. Factor o(j).\nAnswer: -(j + 1)**2\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 549637102?\nAnswer: 2, 7, 39259793","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let i(b) = b**2 - 10*b + 20. Let j be i(7). Let k = -28 - -68. Let m be (k\/16)\/((-2)\/188*j). What is the highest common factor of 47 and m?\nAnswer: 47","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.01455254033 rounded to four decimal places?\nAnswer: 0.0146","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Express -u - 6*u**4 + 2*u - 43*u**2 - 2*u**3 + 8*u**4 + 11*u**2 in the form k + p*u**3 + z*u**2 + v*u**4 + c*u and give z.\nAnswer: -32","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let l(o) = o**2 + 22*o - 138. Let t be l(-27). Let k(n) be the first derivative of 2 + 3\/2*n**2 + 1\/3*n**3 - 4*n. Calculate k(t).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 8994859?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -2*sqrt(1331)*2 + 2 + (-2*sqrt(1331)*2 - sqrt(1331) - ((0 + sqrt(1331) - sqrt(1331)) + 3)).\nAnswer: -99*sqrt(11) - 1","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -2*((sqrt(539) + 0 + 4 - sqrt(539)) + (sqrt(539) - (sqrt(539) + 4*1*sqrt(539))) - (0 + 6*(-1 + sqrt(539))))**2.\nAnswer: -108000 + 2800*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Round -20.521 to 0 decimal places.\nAnswer: -21","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose w - 4 = 4*p, 10*p = 7*p. Which is the biggest value? (a) 28 (b) w (c) -0.5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 1631767 and 562.\nAnswer: 3263534","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence qooq when four letters picked without replacement from {q: 6, o: 12}.\nAnswer: 11\/204","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 11053954?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Put together -1 and -7198.\nAnswer: -7199","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 1986508?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7*j + 658673 = 17781. What is the thousands digit of j?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -250 + 260. Let i(a) = a**3 - 4*a**2 + 4. Suppose c + 0 - 4 = 0. Let t be i(c). Solve 0*s + s = t*x + l, -2*x + 5*s = -4 for x.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is 10111111110001001 + -111100?\nAnswer: 10111111101001101","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 289767?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let w(u) = 2*u**2 - u + 1. Suppose s + h - 6 = 0, 0*s = 5*s + 4*h - 25. Let y be w(s). Let j be y\/3*(4 + -5). Sort j, 5, 2.\nAnswer: j, 2, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 2.8 + -3. Let o = c + 1.2. Let u = -57 + 61. Put u, -0.1, o in descending order.\nAnswer: u, o, -0.1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -169 - -189. Let t be (-396007)\/(-9) - 1 - r\/(-90). Round t to the nearest 10000.\nAnswer: 40000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x be ((2100\/(-72))\/(-25))\/(14\/6). Which is the nearest to 1? (a) -2\/11 (b) 3 (c) x (d) -1\/3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 735789 is divided by 49.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Factor -d**2\/6 - 8*d\/3 - 8.\nAnswer: -(d + 4)*(d + 12)\/6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Express -z + 404*z**3 - z**4 - 201*z**3 + 0*z**4 + 12 - 2*z**2 + 0*z**2 - 201*z**3 in the form h*z + t*z**4 + q + g*z**3 + x*z**2 and give g.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let m(y) = y**3 + 6*y**2 - 9*y + 4. What is m(-7)?\nAnswer: 18","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is 2 + 11023?\nAnswer: 11025","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let t(q) = 4*q + 7. Determine t(-3).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let b(z) = -8*z + 5. Let f(m) = 4*m - 3. Let c(a) = -a**3 + 3*a**2 + 98*a + 200. Let v be c(-7). What is v*b(k) + 9*f(k)?\nAnswer: 4*k - 7","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is 804059 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let n(h) = h**2 + 2*h - 4. Let a be n(-4). Suppose 0*t - 3*t + 9 = 0. Suppose -66 = -4*j + a*r + 54, t = r. What is the remainder when 195 is divided by j?\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 5486?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 z when two letters picked without replacement from gzgggggzzzg.\nAnswer: 6\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is 68543 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let n(b) = 0 + 1 + b + 1. Let r be (4\/(-5))\/2*-5. What are the prime factors of n(r)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1477019 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: What is the hundreds digit of 2358?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 0.285 - 1.285. What is the closest to 1 in 1\/5, -1\/4, j, -6?\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 156 minutes before 12:08 AM?\nAnswer: 9:32 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 23 and 35187539?\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 609494 - 96150. Let k = 51344 - a. Round k to the nearest 10000.\nAnswer: -460000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from vovvevccccpvv. What is prob of picking 1 e, 1 v, and 2 o?\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is 419 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let k(n) = n + 8. Let x = -11 + 5. Let i be k(x). Let r = i - -11. What is the units digit of r?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 225469?\nAnswer: 23, 9803","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: 2052 divided by -6\nAnswer: -342","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of 188944, 1511591, 5101636, 12092779, 23618720?\n\"Answer: 188950*g**3 - g**2 - 5","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is -3a476596 + 3?\nAnswer: -3a476593","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Sort -2, 2, 0, -33, -157 in decreasing order.\nAnswer: 2, 0, -2, -33, -157","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (f\/(((f\/f**(-3))\/f)\/f))**31 assuming f is positive.\nAnswer: f**(-31)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let r(v) be the third derivative of -11*v**5\/30 + v**4\/4 + 61*v**3 - 3*v**2 - 34. Differentiate r(g) with respect to g.\nAnswer: -44*g + 6","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 26533218769 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 8 and 184.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let d be ((-60)\/(-9))\/((-284)\/(-213)). What is the third smallest value in d, 2\/15, -3\/2, -12?\nAnswer: 2\/15","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(z) = -z**2 - 12*z + 3. Let y be t(-12). Let v be 97\/((y + 1)\/20). Suppose 0*k + v = 5*k. Is k a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 77169947 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2039.\nAnswer: 2039","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 53771 is divided by 983?\nAnswer: 689","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let p(v) be the first derivative of 2*v**2 - 12*v - 1. Let a be p(5). Let l be a\/44 - (-260)\/22. Solve 0 = 4*c + l for c.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (o\/(o*(o\/((o**(8\/9)*o)\/o)*o)\/o))\/(o\/(o**1*o))*((o\/(o**(2\/11)\/o))\/o)\/o*o*o**(2\/15) assuming o is positive.\nAnswer: o**(911\/495)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 993603644?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 26389 is divided by 8.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 340 and 3943405?\nAnswer: 85","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is 3646 a multiple of 50?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1260 is divided by 143.\nAnswer: 116","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Does 57 divide 27822897?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 140*w**2 - 122.\nAnswer: 280*w","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*l = 8 - 32. Let z be (l\/15)\/(1 - -1). Determine n, given that -2\/5*n**2 + 0 + z*n = 0.\nAnswer: 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -31*h**4 + h**2 + 2266706 - 2266709 - h**3 + h**2 - 27*h**4 + 2*h as u + o*h + v*h**3 + n*h**4 + c*h**2 and give n.\nAnswer: -58","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*k = -12, -2*q - 8*k + 255 = -9*k. Suppose -161 + q = -2*p. Solve -p = -3*h - 22 for h.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 152074130 divided by -13?\nAnswer: -11698010","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Round 265.508 to the nearest integer.\nAnswer: 266","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is (-880)\/(-110)*3\/144*14?\nAnswer: 7\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let m(j) be the second derivative of -j**5\/20 - 13*j**4\/6 - 25*j**3\/6 - 21*j**2\/2 + 9*j. Let k be m(-25). What are the prime factors of 19\/(k\/(-6) + -3)?\nAnswer: 2, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 14, 3, 8 in ascending order.\nAnswer: 3, 8, 14","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Work out -9131 * -54.\nAnswer: 493074","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Add together -5853.109186708 and -0.6.\nAnswer: -5853.709186708","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -2\/7? (a) 63 (b) 0 (c) -4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -0.704374 - -0.067004. Let y = -1.3 + 1.94. Let h = q + y. What is h rounded to 4 dps?\nAnswer: 0.0026","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -0.5, 3, 4, 20.8 in decreasing order.\nAnswer: 20.8, 4, 3, -0.5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 1083 and 7695?\nAnswer: 57","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Expand (4*b - 3*b**2 - 4*b)*(21*b**3 + 16*b**3 - 5*b**3).\nAnswer: -96*b**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 291460354?\nAnswer: 2, 59, 2470003","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6 = 3*p - p - i, -p + 2*i = 0. Let n = p - 1. Is n a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -25*f - 15 - 185 for f.\nAnswer: -8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let p be 22\/(-20) - 4\/(-8). What is the fourth biggest value in -0.4, p, 8, 2\/17?\nAnswer: p","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 778345 to the power of 1\/3, to the nearest integer?\nAnswer: 92","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is -16.1464 rounded to the nearest integer?\nAnswer: -16","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*l - 4*o = 2*l - 52, 5*o + 25 = 0. Let z be (-4 + l)*(0 - -1). Let f = -32 + z. Are f and 2\/7 nonequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 206\/133 + -24\/19. Let g(s) be the first derivative of 2\/35*s**5 + 6 + 0*s**3 + 2\/7*s**2 - 1\/7*s**4 - b*s. Factor g(v).\nAnswer: 2*(v - 1)**3*(v + 1)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Add together -0.46 and -1092.\nAnswer: -1092.46","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -10 - 0 - -3 - -9.\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 76*l - 46*l - 38*l.\nAnswer: -8*l","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 460 and 138053015?\nAnswer: 115","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: ((-12)\/(-45))\/((-14)\/35)\nAnswer: -2\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 10393 is divided by 1722.\nAnswer: 61","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 19*f - 292*f - 1638 for f.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 73976 and 2716?\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let y be 1 + 135\/(-117) + (-4)\/(-26). Which is the closest to 0.4? (a) 4 (b) -4 (c) 2\/5 (d) y\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 6231 - 120*y + 56*y - 7101 + 66*y.\nAnswer: 2*y - 870","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 1786055 to the nearest integer?\nAnswer: 1336","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (0 + 5 + 0)*(-2*y + y - 2*y)*(62 + 5 + 79) to t*y + j and give t.\nAnswer: -2190","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3 + 22 = 3*j + 4*z, 5*j - 4*z = -1. Suppose j*p = 95 - 14. Is 17 a factor of p?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 44 + (-109 - -55) + (7 - 93)?\nAnswer: -96","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the tenth root of 574 to the nearest integer?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 907955\/7 + -76267771\/588. Let h be 10\/(-15)*1\/49. Let x = h + f. Which is the third smallest value? (a) 5 (b) x (c) -4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -57815\/4452 + 363\/28. Find the common denominator of m and -97\/276.\nAnswer: 14628","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (h*(h*h**(-2\/17))\/h*h*h**1)**29 assuming h is positive.\nAnswer: h**(1421\/17)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 4653880170 less than 0.00915?\nAnswer: -4653880169.99085","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 75\/16 and -25\/2.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -89\/2116696 and -113\/171624.\nAnswer: 6350088","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is 702322 a multiple of 924?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (0 + 0 + sqrt(12))**2 + (sqrt(900)*-4)\/sqrt(12).\nAnswer: -20*sqrt(3) + 12","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let h(b) = 12*b**2 - 9. Let v be h(-2). Solve -v*f = -41*f + 2 for f.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2 + 8 = g. Let f = 12 - g. Is 2 a factor of (f - 0)*2 + 3?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Subtract 687185462018 from 0.4.\nAnswer: -687185462017.6","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -7 + -19. Let b = 18 + o. Let f(j) = -j**3 - 8*j**2 - j - 5. Let m be f(b). Solve -6 = -2*z - m*v, 0*v - 5*v + 14 = 2*z for z.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -13469005 by -11.\nAnswer: 1224455","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*k = -6*k + 2*w + 38, -3*w - 51 = -4*k. Solve -f + 8 = -s + f, -3*s + 2*f = k for s.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many micrograms are there in 3\/5 of a milligram?\nAnswer: 600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let s(k) be the first derivative of 0*k**2 + 0*k + 1\/3*k**3 - 72. Let h(o) be the first derivative of 15*o**2\/2 + 1. What is h(s(z))?\nAnswer: 15*z**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 244091 - 136840. Is d a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 54 - 39. Suppose c - 5 = -5*w - 0*c, -c - k = -5*w. Solve -10 = -m - v, -3*v = -w*m - 2*m + 5 for m.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -74427 or -74428?\nAnswer: -74428","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 90, 85, 80, 75, 70?\nAnswer: 65","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let m(a) = a**3 + 3208*a**2 - 2141*a - 6868327. What is m(-3208)?\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 8.898 less than 3?\nAnswer: -5.898","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 14268625?\nAnswer: 5, 7, 23, 709","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -105 - -108. Let u(y) = -3*y**3 - 4*y**2 - 3. Let o(s) = 2*s**3 + 2*s**2 + 2. What is d*u(j) + 5*o(j)?\nAnswer: j**3 - 2*j**2 + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is -1.062681 rounded to 1 dp?\nAnswer: -1.1","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Does 103 divide 4635?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of -114083, -228138, -342161, -456152, -570111?\n\"Answer: 16*a**2 - 114103*a + 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Put 0.1, -10, 2.8, -2, 2 in ascending order.\nAnswer: -10, -2, 0.1, 2, 2.8","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (l**(-3\/8))**40 assuming l is positive.\nAnswer: l**(-15)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {p: 3, x: 1, y: 4}. Give prob of sequence xyp.\nAnswer: 1\/28","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -12.8? (a) 5.1 (b) -0.1 (c) 28 (d) -5 (e) -2\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let j(z) = -8*z. Let a(x) = -12*x. Let b(l) = -l**2 - 9*l. Let k be b(-8). Give k*j(c) - 5*a(c).\nAnswer: -4*c","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((l**(-4)*l)\/l**6)**(1\/24) assuming l is positive.\nAnswer: l**(-3\/8)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is -10 + 211201?\nAnswer: 211121","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:38 AM and 11:02 AM?\nAnswer: 624","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Convert 0.0648632 millimeters to centimeters.\nAnswer: 0.00648632","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 923*d**2*j + 966*d**2 + 359*d*j + 3*d + 10 wrt j?\nAnswer: 923*d**2 + 359*d","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: -8.87 + -0.039\nAnswer: -8.909","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let k(s) = 13*s**2 + 8*s + 17. Let u be k(-3). Suppose -265 = 5*h + 3*w - 98, 5*h = -5*w - 165. Let y = u + h. List the prime factors of y.\nAnswer: 2, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -7*g - 11179 + 33523. Suppose -2*z - 2*l + g = -l, 5*l = -z + 1587. Is z a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 857957 is divided by 1679?\nAnswer: 1667","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 281 to the nearest integer?\nAnswer: 17","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is -1469446 + 92438?\nAnswer: -1377008","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 115806?\nAnswer: 2, 3, 19301","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 1329, 1533, 1713, 1857, 1953?\nAnswer: 1989","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let u(b) = 44*b**3 + 525*b - 1041. What is u(2)?\nAnswer: 361","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:32 PM and 9:54 PM?\nAnswer: 322","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((h**(-2))**(2\/119)\/(h\/(h**2\/h)*(((h*h*h*h**(-10))\/h)\/h)\/h*h))**(-1\/3) assuming h is positive.\nAnswer: h**(-1067\/357)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 424 = -6*j + 8*j. What is the hundreds digit of j?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(u) = 5*u**2 + 10*u. Let j(y) = -4*y + 33. Let t be j(9). Let v be m(t). Suppose v = -3*w, -5*c - 4*w + 45 = -w. Is c a multiple of 3?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 135*k + 21*k**3 - 10*k + 22*k**3 - 2 - 44*k**3 as z*k**2 + f + y*k + g*k**3 and give y.\nAnswer: 125","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((((p**0*p)\/(p\/(p*p\/((p*p**(2\/15))\/p)*p)))**9)**(-1\/10))**(-1\/2) assuming p is positive.\nAnswer: p**(129\/100)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is -13 + 15?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((((w\/((w\/(w*w**7))\/w))\/((w**(-9)*w)\/w))\/(w**11\/(w**(5\/4)*w)))**(-19))**(-10) assuming w is positive.\nAnswer: w**(3515\/2)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Factor 0*k + 4*k**2 + 90\/7*k**4 + 0 - 118\/7*k**3.\nAnswer: 2*k**2*(k - 1)*(45*k - 14)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(h) = 60*h**2 - h. Let q(y) = 814607*y. Determine r(q(l)).\nAnswer: 39815073866940*l**2 - 814607*l","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve 11 = 4*c + 15 for c.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -191135*v**4 - 132*v**2 - 125*v + 5.\nAnswer: -4587240*v","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 250 minutes after 3:57 AM?\nAnswer: 8:07 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Express -9*i**3 - 30 - 5*i**3 + 31 as q*i**2 + w*i + b*i**3 + y and give b.\nAnswer: -14","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) 29 (b) -0.4 (c) 72 (d) -3 (e) -2.2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let q(n) = -n**3 - 3*n**2 - 3*n - 9. Let b be q(-3). Suppose b = 54*r - 53*r - 91. Does 2 divide r?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 1 in 1, -2\/73, -1\/5, 2, 6?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let b(f) = -103*f + 94*f + 2*f**2 + 7 + f**3 + 8*f**2 - 3*f**2. What is the units digit of b(5)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of -68569617, -137139234, -205708851, -274278468, -342848085?\n\"Answer: -68569617*o","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 1452\/7 - 207. Which is smaller: 0.028 or m?\nAnswer: 0.028","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -8 = 330*d - 328*d for d.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 1315 and 15?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let d(p) = -5*p**4 + 6*p**3 + 4*p**2 - 5. Let s be (-2)\/4 - 63\/14. Let j(g) = -4*g**4 + 5*g**3 + 3*g**2 - 4. Let h(z) = s*d(z) + 6*j(z). Factor h(c).\nAnswer: (c - 1)**2*(c + 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) 0.11 (b) -0.2 (c) -0.4 (d) 5 (e) 0.3\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*b = -b. Which is greater: -2\/53 or b?\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j be -1 - 1 - -2 - 1\/(-1). Suppose 4 = 3*k - 4*u + 2, -j = -u. Suppose -3*t + 2*a = -1755, -k*t - t + a + 1758 = 0. Is t composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 1067*c + 1007*c + 110*c - 146*c.\nAnswer: 2038*c","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -10647740, -10647738, -10647736, -10647734, -10647732, -10647730?\nAnswer: -10647728","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 7346691 and 12474.\nAnswer: 99","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 28, 19, 4, -17, -44, -77, -116?\nAnswer: -161","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let k(m) = m**3 + 10*m**2 + 8*m - 13. Let v be k(-9). Let b be (-45)\/v*(2 - (1 + 9)). Let s = b + 104. Is s at least 0?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1888.\nAnswer: 2, 59","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is -1.5894964683 rounded to 5 dps?\nAnswer: -1.5895","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 0.44 + -0.45. Let r = 0.352 + -0.452. What is the biggest value in g, r, 3?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -c (base 13) in base 10?\nAnswer: -12","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -107 + 0.13036.\nAnswer: -106.86964","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is 399229 a multiple of 173?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -2 + (((-5*-1*sqrt(120) + sqrt(120))\/(-6*(sqrt(6) - sqrt(24))))\/(((sqrt(576) - (sqrt(576) + -1*sqrt(576)))\/sqrt(12))\/(-3*sqrt(24)\/sqrt(2))))**2.\nAnswer: 43","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let a(l) be the second derivative of 5*l**7\/42 + 5*l**6\/2 - 2*l**5 - 50*l**4 + 40*l**3\/3 + 600*l**2 - 10213*l. Let a(n) = 0. What is n?\nAnswer: -15, -2, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 6*x = -23 - 13, -4*i - 8*x + 8*x = -0*i + 4*x + 36 for i.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of -76, -487, -1598, -3757, -7312, -12611?\n\"Answer: -58*n**3 - 2*n**2 + n - 17","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let c(p) be the first derivative of 53*p**2\/2 - 11*p - 573. Let f(u) = -27*u + 6. Calculate -4*c(d) - 7*f(d).\nAnswer: -23*d + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let w(t) = -39*t - 1. Let p be w(-2). Let k = p - 77. Suppose k = -38*z + 43*z - 1435. Is z prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -1 - 1 = -f. Let v = -1584 - -450. Is f\/4 - v\/12 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 761.7512 grams in micrograms?\nAnswer: 761751200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -3 + 2. Let p(a) = 2*a**2 + 1. Let h be p(v). Let g(l) = l**3 - l**2 - 3*l + 3. What are the prime factors of g(h)?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in 0.1, -2, -4, 289, -0.4, 0.4?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -92 - 3498 = -98*o + 1212. Calculate the remainder when 2254 is divided by o.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (9 - 21 - 16)*(17*u + 1196*u + 375*u) to the form v + x*u and give x.\nAnswer: -44464","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let s be 5 - (1 - 1)\/1. Suppose -20*y = -15*y + 50. Let b = s - y. Is b a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*b + 7*b - 4*d = 25, 0 = 5*b + 5*d - 25. Suppose 3 = -24*l - 67*l + 3. What is the nearest to -2 in b, 2, l?\nAnswer: l","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 2541944768?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: -1ab (base 12) to base 7\nAnswer: -542","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -176, -182, -188?\nAnswer: -194","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -1508 - -2115. Suppose -a + 227 = -4*n. Suppose 5*d - n = -5*p, 0 = -2*d - 2 - 8. Calculate the greatest common divisor of 36 and p.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 168916 and 39369992.\nAnswer: 1396","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 7 times -75.2?\nAnswer: -526.4","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 24 + 9. What are the prime factors of w?\nAnswer: 3, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 212514?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of -90, -186, -284, -384, -486?\n\"Answer: -l**2 - 93*l + 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 5677.9993936 + -5678. What is f rounded to 4 dps?\nAnswer: -0.0006","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 11, 21, 29, 35, 39?\nAnswer: 41","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let y(v) = -3*v - 6. Suppose 2 = -4*j + 10, -r + 3 = 5*j. Let f be y(r). Let t = -11 + f. Solve -3*m = -t*m for m.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: 0\/(18\/(-9)*1)\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2\/15, -0.4, 200 in descending order.\nAnswer: 200, 2\/15, -0.4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 1\/2 in -9268, -2\/9, 2?\nAnswer: -2\/9","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -0.068 - -0.168. Which is the nearest to -1? (a) z (b) -13\/4 (c) 3\/4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find d such that -d**4\/7 - 892*d**3\/7 - 210174*d**2\/7 - 5021068*d\/7 - 31685641\/7 = 0.\nAnswer: -433, -13","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth root of 25913266 to the nearest integer?\nAnswer: 71","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Convert -113123 (base 4) to base 10.\nAnswer: -1499","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 4549703\/9 or 505523?\nAnswer: 4549703\/9","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Sort 46, -13, 1 in decreasing order.\nAnswer: 46, 1, -13","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is (237\/(-75) - -3)*(-75)\/60?\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -4.6 + 0.6. Which is greater: -0.06 or j?\nAnswer: -0.06","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -y**3\/4 + 1677*y**2\/4 + 1679*y\/2.\nAnswer: -y*(y - 1679)*(y + 2)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 60 and 270.\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -10 and -26.\nAnswer: 260","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -786, -1572, -2360, -3150, -3942, -4736, -5532?\nAnswer: -6330","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 53 - 29. Suppose -5*w = -12*g + 16*g - 155, 145 = 5*w + 2*g. Let p = w - b. Solve r - p*r = 10 for r.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 270445?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-13)\/(2262\/(-1073))*30\/5.\nAnswer: 37","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (((-9)\/(-2))\/(-1)*2)\/((-12705)\/(-16940)).\nAnswer: -12","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Work out -1.60282 - -5687.\nAnswer: 5685.39718","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -81 = 21*x + 87. Let l be x + 12 - (4\/(-2) + 2). Solve 0 = 2*z - 6, 15 = l*j + 5*z for j.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 11 + -4 - (-4 + 13)?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 7 a factor of 165110304?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let d(r) = -13*r - 6 + r - 1 - r. Let x(m) = 4*m + 2. Let b(u) = 2*d(u) + 7*x(u). Let a(j) = 3*j**2. Give a(b(z)).\nAnswer: 12*z**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Round -29789470 to the nearest one million.\nAnswer: -30000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: -3 (base 4) to base 3\nAnswer: -10","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -9370 + 9370. Let f(c) = -3*c - 17. Calculate f(q).\nAnswer: -17","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: 27.522 - 3\nAnswer: 24.522","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let a(c) = -51*c + 35. Let j(b) = 671*b - 462. Let h(n) = 66*a(n) + 5*j(n). Let i(q) = 897*q**2. What is i(h(p))?\nAnswer: 108537*p**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) -10 (b) 1 (c) -1\/6 (d) 27 (e) -0.4 (f) -1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let w(n) = -n**3 + 151*n**2 + 189*n - 5508. What is w(152)?\nAnswer: 116","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 331905.\nAnswer: 3, 5, 7, 29, 109","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is (0 - 1)\/(4692\/(-4691) + 1) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 2759, 5443, 8119, 10781, 13423, 16039, 18623, 21169?\nAnswer: 23671","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1041102.\nAnswer: 2, 3, 57839","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -17*h**2 + 15*h + 60*h**2 - 36*h**2 - 24*h**2 - 4*h - 8*h.\nAnswer: -17*h**2 + 3*h","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve -39*c = -286*c + 44*c - 812 for c.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let n(u) = -5*u + 4. Let l(i) = 4*i - 3. Let z(p) = 4*l(p) + 3*n(p). Let a(t) = 18*t. Determine z(a(j)).\nAnswer: 18*j","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 354.\nAnswer: 2, 3, 59","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Work out 0.5 * -13.\nAnswer: -6.5","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Put together -0.02604 and 455.27.\nAnswer: 455.24396","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -236697004*r + 167428864 with respect to r.\nAnswer: -236697004","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -95 - -146. List the prime factors of g.\nAnswer: 3, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of 1035, 1034, 1023, 996, 947, 870, 759?\n\"Answer: -v**3 + v**2 + 3*v + 1032","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let m(o) = 5*o. Let n = -10 - -12. Let l(a) = 0*a + n*a - 1 + 1. Calculate l(m(d)).\nAnswer: 10*d","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between -6 and -447.75347?\nAnswer: 441.75347","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:29 PM and 10:35 PM?\nAnswer: 366","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is 248 a factor of 4407604?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Sort 5, 1, -189 in ascending order.\nAnswer: -189, 1, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let f(x) = 16*x**2 + 4*x - 3. Let k be f(1). Let l(d) = -d**3 + 19*d**2 - 21*d - 21. Let p be l(k). Suppose -7*q + 12*q - p = 0. Is q a multiple of 8?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(k) = k**2 - 39*k + 260. Calculate o(30).\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 4117 + -8204. Let i = w - -4086.95429. Let s = i + 0.046. What is s rounded to 4 decimal places?\nAnswer: 0.0003","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(k) be the second derivative of 5*k**8\/56 + 7*k**4\/12 - 2*k. What is the third derivative of t(j) wrt j?\nAnswer: 600*j**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -21 - -13. Let q(i) = i + 3. Let l be q(k). Which is the second smallest value? (a) -0.5 (b) l (c) 3 (d) -1\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -1009*k + 203 - 142*k + 289*k.\nAnswer: -862*k + 203","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 7*y**5 + 10*y**4 + 4*y**3 + 5*y**2 - 700*y + 1.\nAnswer: 420*y**2 + 240*y + 24","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let k(z) = z**3 + z**2 + 2*z. Let s(l) = 8*l**3 + 6*l**2 + 15*l - 3. Give 14*k(t) - 2*s(t).\nAnswer: -2*t**3 + 2*t**2 - 2*t + 6","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1289, -4, 56891.\nAnswer: -1289, -4, 56891","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -160*d*h**3 - 2594*d*h**2 + 2*d + 116*h**4 wrt h.\nAnswer: -960*d + 2784*h","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 825?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 54\/2452813 or -0.38?\nAnswer: -0.38","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 179\/93 - 70\/31. Let k = 27 + -26.8. What is the nearest to k in u, -0.1, 4?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -103004 (base 5) in base 7?\nAnswer: -13134","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Put together 103499031 and -4.\nAnswer: 103499027","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -3*r**2 - 5*r**3 + 4*r**3 + r**4 + 0*r**3 + 151*r - 87*r - 74*r + 2 to the form l + m*r**2 + j*r + z*r**3 + n*r**4 and give m.\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let h(o) = -226*o + 29. What is the hundreds digit of h(-5)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1369384979 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: In base 15, what is 14ee99 - 4?\nAnswer: 14ee95","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 1070801 and 517.\nAnswer: 47","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Put -1, 14, -0.5, 1, -3 in descending order.\nAnswer: 14, 1, -0.5, -1, -3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -230*s + 112*s + 117*s - 97263.\nAnswer: -s - 97263","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve 117999*m - 117944*m + 990 = 0 for m.\nAnswer: -18","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 8 (base 16) in base 13?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 441 + -1 + (2 - 0).\nAnswer: 2, 13, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 521 to the nearest integer?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Round 274.24621 to the nearest 100.\nAnswer: 300","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (2*(-6)\/8)\/(22\/(10560\/36)).\nAnswer: -20","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of -543, -516, -487, -456, -423?\n\"Answer: x**2 + 24*x - 568","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let q be ((-102)\/4)\/1*(-8)\/(-2). Let w = 110 + q. Solve 0 = -5*m - 4*n + 21, 4*m - 4*n + n + w = 0 for m.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: 115320455 (base 6) to base 5\nAnswer: 1032001211","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Express -5 + 104*u + 98*u - 485*u + 130*u + 108*u as j + d*u and give d.\nAnswer: -45","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -n - 88 = 4*f, -9*n - 264 = -6*n - f. Let v = 106 + n. What is the highest common divisor of v and 72?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ngn when three letters picked without replacement from {d: 2, n: 3, g: 3}?\nAnswer: 3\/56","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is -3 - 15c1?\nAnswer: -15c4","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let d(x) = -5*x - 7*x - 20 - 4*x + 12*x. Let t be d(-6). Solve 2*p - t*p = 0 for p.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 10007, 20068, 30129, 40190, 50251, 60312?\nAnswer: 70373","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let n(g) = -13*g**2 - 10. Let m(u) = -21358*u + 2. Determine m(n(y)).\nAnswer: 277654*y**2 + 213582","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let r(j) = 2*j**2 + 3. Let s(d) = 1086*d**2 + 780*d + 12. Let h(t) = 4*r(t) - s(t). Find the second derivative of h(y) wrt y.\nAnswer: -2156","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find g such that 84*g**5 - 509*g**4 - 2059*g**3 - 1464*g**2 - 108*g = 0.\nAnswer: -2, -6\/7, -1\/12, 0, 9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let j be 14400*(4000\/12)\/10. What is j rounded to the nearest 1000000?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(a) = -26*a**2 - 3*a - a**3 + 49*a**2 + 2 - 29*a**2. Suppose d = -2*n - 1, 2*d - 2*n + 14 = -0*d. What is i(d)?\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1095 is divided by 279.\nAnswer: 258","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in 7, -40, -21, 3?\nAnswer: -40","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 885905 and 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 17 - 13. Let f be q + (80\/(-4))\/5. Suppose -13*t + f*t = -260. Calculate the highest common divisor of t and 20.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 6 - 6. Let r = 0.3 + d. Let p = -39 + 39. What is the closest to -1 in r, p, 5?\nAnswer: p","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: 15184 divided by -36\nAnswer: -3796\/9","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -38\/679 and 25\/1358.\nAnswer: 1358","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 18375521 to the nearest integer?\nAnswer: 264","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*v + 1 = -2. Let m be (-3 - -11)*(-2 - v). Let d = -8 - m. Solve 4*r + 4 = d, r + 2*r = -5*i + 22 for i.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -n + 11 = 3*b, 215*n = -b + 210*n - 15 for b.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is -258750.4 rounded to the nearest 10000?\nAnswer: -260000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 40307902 is divided by 72.\nAnswer: 70","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -514*t**3 - 520*t**3 + 2115*t**3 - 516*t**3 - 511*t**3 - 65*t**3.\nAnswer: -11*t**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((z**1\/z)**13*((z*((z*z**(2\/5)\/z)\/z)\/z)\/z)**(-3\/19))\/((z**(-7)*z**(4\/3)*z)\/(z**6*z*z\/z**0)) assuming z is positive.\nAnswer: z**(3682\/285)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 5 + -5. Suppose b = -2*z + 2*u - 3*u + 10, 6 = -2*z - 5*u. What are the prime factors of z?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(d) be the third derivative of -191*d**5\/60 - d**4\/6 - 907*d**3\/6 + 3*d**2 + 598*d. Differentiate o(r) wrt r.\nAnswer: -382*r - 4","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((b\/b**(-11\/2))\/b)\/(b*b\/b**26))\/((b**(-5)\/b)\/(b**(4\/3)*b)) assuming b is positive.\nAnswer: b**(227\/6)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 601 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: Calculate (4\/(-9))\/((-200)\/(-15300)).\nAnswer: -34","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (-10)\/12*-2*3. Suppose -n*w - 12 = -2*w. Let k = 0 - w. What is the greatest common factor of k and 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: 2185 divided by 95\nAnswer: 23","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let l(i) be the third derivative of i**7\/30 + i**4\/4 + 6*i**2. Find the second derivative of l(g) wrt g.\nAnswer: 84*g**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 73540981 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let z(k) = 4*k - 14. Let w be z(8). Let c be (-4 - -3) + 3 - -8. Let h = w + c. What is the tens digit of h?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t be 2\/3*(-30)\/4. Let l = -0.176 + 0.276. Let v = 53\/2 + -27. Which is the nearest to 0.1? (a) t (b) v (c) l\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 78.066 + -78. Let u = -0.034 - g. Let c = -328.7 + 331. Which is smaller: c or u?\nAnswer: u","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 5 - (-2 - -3) - (-5 - (-1 - 8)).\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (-180)\/(-99) - 2\/(-11). Suppose w*p - 1 = 1. What is the units digit of (0\/(-1) + p)*30?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 405, 2, 0.\nAnswer: 0, 2, 405","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 230?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 16 + -11. Does 5 divide z - 3 - (-3 + 0)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3*p - 7*p + 3*p)*(16 + 1 + 3).\nAnswer: -20*p","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8*m = -15*m - 1078. Let h = m - -156. Let t be 6 + 0 + -2 + 1. Solve 0 = -3*s - 3*v, -t*s - v = -3*s - h for s.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o be 2*(-7)\/(7\/(-2)). Suppose 5*v + 7*q = o*q + 47, 3*v - 3*q - 33 = 0. Let t be 31\/(-5) + (52\/v - 5). Let u(b) = -b**2 - b + 6. What is u(t)?\nAnswer: -24","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is -5 + -15321444?\nAnswer: -15321453","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -1*(-4 + (((-3*(sqrt(891) + 0) - sqrt(891)) + 3*(sqrt(891) + -1))*5*-6)**2)*-4.\nAnswer: 194400*sqrt(11) + 3239984","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in -4\/3, -327, 5098?\nAnswer: -4\/3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in -2, 1\/8, -4, -7, -14\/25?\nAnswer: 1\/8","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose k + 17 = 5*h, -4*h - 2*k + 4*k = -10. Let m(g) = 28*g**2 + 13*g - 56. What is the units digit of m(h)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(b) = 5*b**2 + 8*b - 1. Suppose -4*k + l - 24 = 0, 8*l - 30 = 5*k + 3*l. Is m(k) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1583 a multiple of 52?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let n(k) be the second derivative of 23*k**4\/12 + 2*k**2 - k. Let x be (-14)\/2 - -3 - -1. Is n(x) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 77617, 155234, 232851, 310468, 388085?\nAnswer: 465702","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 6628651.32 less than 2?\nAnswer: -6628649.32","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let g(i) = -2*i. Let q(z) be the first derivative of 3*z**3 - 41*z**2 - 38 + 41*z**2. Give q(g(v)).\nAnswer: 36*v**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve 32*w - 50 = -5 + 51 for w.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -241\/445605 or 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in 0.4, -2, -2.0411, -0.4, 1\/3?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let i(o) = -2*o**2 + 9*o - 1. Let q(g) = -g**2 + 7*g - 5. Let u be q(4). Determine i(u).\nAnswer: -36","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -181*c**4 + 146*c**3 + 7775*c**2 + 6*c.\nAnswer: -4344*c + 876","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve -44*i = -40*i - 4*t - 4, -2 = -4*i + 5*t for i.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 238 + -117. Let d = o - 48. Let l = 5 + d. What are the prime factors of l?\nAnswer: 2, 3, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 47 a factor of 28304434?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 5270.\nAnswer: 2, 5, 17, 31","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let p(l) = l**3 + l**2 + 4. Let x(z) = -10 - 200647*z**3 + 200643*z**3 - 4*z**2 - 5. Determine 22*p(n) + 6*x(n).\nAnswer: -2*n**3 - 2*n**2 - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-168315)\/(-203742) - (-172)\/(-4257).\nAnswer: 11\/14","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is 402821821 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 1*(4*(sqrt(128) + -1 + 3 + sqrt(128) + 1 + 5 - 1*-3*(sqrt(128) + sqrt(128)*1)))**2.\nAnswer: 16384*sqrt(2) + 132096","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let p(l) = l - 1. Suppose 415 = 33*c + 283. Let h(g) = g - 1. Give c*h(i) - 6*p(i).\nAnswer: -2*i + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -79, -84, -89?\nAnswer: -94","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 31800 and 21094?\nAnswer: 106","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is -25b (base 14) in base 7?\nAnswer: -1244","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 17923 = 7*j - 9888. Is j a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) 0 (b) 5 (c) 1 (d) -17904 (e) 1\/3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence hhhh when four letters picked without replacement from hhhh.\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let s(g) = -10*g**3 + 2*g**2 + 3*g + 4. Let c(d) = 11*d**3 - 2*d**2 - 4*d - 4. Give 3*c(x) + 4*s(x).\nAnswer: -7*x**3 + 2*x**2 + 4","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 60 - 58 = -o. Let a(n) = -79*n + 7. List the prime factors of a(o).\nAnswer: 3, 5, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 256262371 to the power of 1\/2, to the nearest integer?\nAnswer: 16008","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -j = -5*j - 20. Which is the nearest to -0.1? (a) -1 (b) j (c) 12\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 749 and 29931538?\nAnswer: 749","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -9 + 28. Suppose 3*t + 1 - v = 0. What is the units digit of t?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (-3069)\/(-36) + (-2)\/8. Calculate the greatest common factor of 5 and q.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(c) = 6*c + 1. What is the remainder when 24 is divided by m(1)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 8\/3 of a week in hours?\nAnswer: 448","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 458, 3986, 13558, 32198, 62930, 108778, 172766, 257918?\nAnswer: 367258","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between 4.01598928 and -0.003?\nAnswer: 4.01898928","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 1700239247 divided by -2087?\nAnswer: -814681","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: ac99 (base 14) to base 11\nAnswer: 20537","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let d(g) = -40*g**3 + 0*g + 18 - 4*g + g**2 - 15. Let q be d(2). Let x = q - -466. Is x a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (2\/7)\/(6\/14).\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 966 + 971 + 569*x - 654*x + 965 - 2902.\nAnswer: -85*x","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve -6*c**4 + 0*c**3 + 5*c**4 - c**3 = 0 for c.\nAnswer: -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: 79113798+0\nAnswer: 79113798","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let y(c) = -c**3 + 5*c**2 + 5*c + 5. Let z be y(6). Calculate the common denominator of (z\/54*61)\/((-12)\/36) and 73\/24.\nAnswer: 72","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(o) be the first derivative of -51*o**5\/5 + o**4\/2 - 36*o**2 - 31. Find the second derivative of b(g) wrt g.\nAnswer: -612*g**2 + 12*g","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -1? (a) 1\/3 (b) 0.4 (c) 16\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let k be -5 + 2\/1 + 1. Let p be (2\/6 - 0)*3. Let o = p + k. Which is smaller: o or -0.2?\nAnswer: o","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) 3\/5 (b) 906 (c) 3\/91\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in c**3 + 51*c**2 + 53*c**2 - 362*c - 149*c**2 + 46*c**2.\nAnswer: c**3 + c**2 - 362*c","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*c + 5*z = -106668, -3*c - 23221 = 5*z + 136781. Let w be c\/33 - 3\/(-1). Let t = w + 1616. What is the common denominator of -89\/10 and t?\nAnswer: 110","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -100454 + 904010\/9. Suppose 17 = 4*s - 75. What is the common denominator of l and -1 - s\/(-6)*-2?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of -86801, -345639, -776509, -1379411, -2154345?\n\"Answer: -86016*g**2 - 790*g + 5","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Factor 5*b**2\/2 - 1315*b\/2.\nAnswer: 5*b*(b - 263)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let g(y) be the first derivative of -9*y**4\/4 - y**3\/3 - 2. Let m be g(-1). What is the derivative of -m - 70*x - 2 + 70*x - 8*x**4 wrt x?\nAnswer: -32*x**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (-36)\/(-10) - (1 + 2\/(-5)). Suppose 0 = 5*g - s - 2*s - 97, f*g + 4*s = 35. What is the greatest common factor of 34 and g?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -2*b - b + 2*b + (-7 - 9 - 10)*(5*b + 0*b - 4*b).\nAnswer: -27*b","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*v = -3*v. Suppose v = -f - f + 26. List the prime factors of f.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -21959 + 33479. What is the greatest common divisor of k and 270?\nAnswer: 90","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 214197.\nAnswer: 3, 71399","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -209 or -7363\/35?\nAnswer: -209","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: 278679 (base 11) to base 8\nAnswer: 1523521","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 1553028 a multiple of 52?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 265 minutes before 1:54 PM?\nAnswer: 9:29 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -14.5? (a) 4 (b) -3 (c) 0.4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 37155 and 60?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -1025 - -1024.98146. What is x rounded to three decimal places?\nAnswer: -0.019","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find r, given that -21*r**4\/4 + 3333*r**3\/4 - 174141*r**2\/4 + 3105327*r\/4 - 3605649\/2 = 0.\nAnswer: 19\/7, 34, 61","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 748 divided by -1066.\nAnswer: -374\/533","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (x*x**(-2\/5))**(-13\/2) assuming x is positive.\nAnswer: x**(-39\/10)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*c - 1 - 13. Let r(q) = -69*q + 548. Let m be r(8). Sort m, c, 3, 0.\nAnswer: m, 0, 3, c","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 6 + 13 = 19*s for s.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 318 and 826005.\nAnswer: 159","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 227683186 to the power of 1\/4, to the nearest integer?\nAnswer: 123","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*i - 10 = 5*t, 2*t + 28 = -i - 3*t. Let n(m) = -2*m + 21. Let d be n(10). What is the nearest to -1\/4 in d, i, -6?\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 93, 96, 99, 102, 105, 108?\nAnswer: 111","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Put 4, 6.7, 1\/3, -5\/96, 2\/11, 2 in descending order.\nAnswer: 6.7, 4, 2, 1\/3, 2\/11, -5\/96","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 7359 is divided by 432.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is 34815565 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: -d89 (base 16) to base 3\nAnswer: -11202100","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: 9 - (1148620\/56120 - 23\/2)\nAnswer: 2\/61","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (2 + 100\/16 + -7)\/((-10)\/(-16)). Sort n, 5, -91, 17, -5.\nAnswer: -91, -5, n, 5, 17","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from qwqwwwyqpqw. Give prob of sequence pq.\nAnswer: 2\/55","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 h and 1 g when three letters picked without replacement from {q: 1, g: 3, h: 2, k: 4, z: 1}.\nAnswer: 1\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*l - 20*l - 22 = 0 for l.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let o(r) = r**3 + 2*r - 4. Let v(a) = -5 + a - 7*a**2 + 7*a**2 + a + a**3. Determine -4*o(n) + 3*v(n).\nAnswer: -n**3 - 2*n + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 153, 308, 463, 618?\nAnswer: 773","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.3945897 rounded to four decimal places?\nAnswer: 0.3946","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 0.023063 - 0.001134. What is x rounded to three decimal places?\nAnswer: 0.022","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 273\/595 - 6\/102.\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from nnttmnkatntttktm. What is prob of sequence ntka?\nAnswer: 1\/780","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (o*o**(-4\/3)*o)\/((o**(-1\/14)\/o)\/o) assuming o is positive.\nAnswer: o**(115\/42)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -35*f = -36*f + 76. Suppose 128*j = 127*j + f. List the prime factors of j.\nAnswer: 2, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*i = -2*w - i + 71, -2*w + 5*i + 31 = 0. Calculate the remainder when w is divided by 11.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose p - 4 = -0*p + v, 4*p = 2*v + 14. Let j = p - 4. Let f = 4 + j. What is the units digit of f?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -25179*8309.\nAnswer: -209212311","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 3608 and 6888?\nAnswer: 75768","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -65\/4 and -151\/440208.\nAnswer: 440208","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let k(m) = m - 3. Let u be k(6). Suppose 3*v + 4*b - 31 - u = 0, 5*b - 44 = -4*v. Let c = 16 - v. What is the tens digit of c?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) -9\/11 (b) -433 (c) 1\/3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 56018 and 1850.\nAnswer: 74","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of -900, -3635, -8146, -14421, -22448?\n\"Answer: 2*v**3 - 900*v**2 - 49*v + 47","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (5*l**2 + 13*l**2 + 9*l**2)*((2*l + 1 - 1)*(-2 - 2*l + 2) - 5*l**2 + 0*l**2 + 3*l**2) to the form i*l**4 + o*l + c + m*l**2 + v*l**3 and give i.\nAnswer: -162","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let h(v) = v**3 - 2*v**2 + 2*v + 2. Let q be h(2). Suppose -q*d = -d - 305. Is 19 a factor of d?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 17860191239 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 141672.\nAnswer: 2, 3, 5903","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: How many hours are there in 482.81517 nanoseconds?\nAnswer: 0.000000000134115325","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*k + 41*k = -66006. Let u be 200*k\/18*500. What is u rounded to the nearest 1000000?\nAnswer: -10000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (420\/(-1890))\/((-37)\/9)?\nAnswer: 2\/37","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: -422090342 - -4\nAnswer: -422090338","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 1\/10 of a microsecond in nanoseconds?\nAnswer: 100","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 5045250, 10090501, 15135752, 20181003?\nAnswer: 25226254","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 2*sqrt(104)\/(sqrt(88)\/sqrt(11)) + ((-6*sqrt(208) + sqrt(52))\/sqrt(4))**2.\nAnswer: 2*sqrt(13) + 1573","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 4 divided by 63.\nAnswer: 4\/63","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*m + 5*h + 41, 2*h + 67 = 4*m + 7*h. What is the highest common factor of 45 and m?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is -1032102 + 11243?\nAnswer: -1020304","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 3763 is divided by 3665.\nAnswer: 98","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let b(w) = 4*w**2 + 34*w - 1010. Determine b(20).\nAnswer: 1270","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 2128100?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let x(n) be the first derivative of 13*n**3\/3 + 8*n**2 - 37*n - 6. Let g(w) = 3*w**2 + 4*w - 9. Let l(z) = -9*g(z) + 2*x(z). Give l(-6).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 2, -14, 5, -3, 22 in decreasing order.\nAnswer: 22, 5, 2, -3, -14","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -106816\/15 or -7121?\nAnswer: -106816\/15","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 445598?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let k be -201*(-62)\/8 + (18 - 22). Let j = k - 1564. Is j > -9?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 19692 - 19582. What is the fourth biggest value in -1\/5, p, -0.3, -3?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -n - 2 = -5*g, -3*n + 4*g + g + 4 = 0. Sort 19, -4, -2, n in decreasing order.\nAnswer: 19, n, -2, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 578 - 216. Let q = k - 332.2. Let b = q - 20.5. Round b to zero dps.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: (11\/11)\/(4\/(-1))\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve -p + 3*p + u = -5, -2*u = 3*p + 10 for p.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let m(s) = -5*s - 25. Suppose -x + r = 5, 11*x = 8*x - 5*r - 15. Let d be m(x). Factor d*y + 2*y + 15 - y + 4*y - 20*y**2.\nAnswer: -5*(y - 1)*(4*y + 3)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve z + l - 7 = -l, 5*l = -3*z + 20 for z.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 21510 and 2390?\nAnswer: 21510","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*o + 5*i = 375, -2*o + 415 = 3*o - 5*i. Let n = -76 + o. What is the closest to 1 in -0.06, n, 0.5?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -281 - -74. Let j = i - 101.8. What is j rounded to the nearest 10?\nAnswer: -310","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (15*o - 60 + 60 + (-2 + 5 - 4)*(-4 - 2*o + 4) + 3*o - o - o - 4*o - 2*o + 4*o + o + 0 + 0)*(2 + 0 - 3) in the form z + i*o and give i.\nAnswer: -17","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-10 - -8) + (3 - -22) + -10.\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 85\/399966 and -24\/4361?\nAnswer: 2799762","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -12 - -19 - (-13 + 3 - (6 + 4 + -6)).\nAnswer: 21","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let k be 4\/2 - (-42)\/7. Let r be (-64)\/k*(-3)\/1. Let w(i) = 0 + i**3 + 4*i**2 + r*i - 20*i - 1. What is w(-3)?\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -4521590.457 to the nearest one hundred.\nAnswer: -4521600","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence pppm when four letters picked without replacement from {m: 3, p: 15}.\nAnswer: 91\/816","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is 74870\/49 < 1529?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -h = -z - 6, h - 8*z = -3*z + 18. Factor -h*t**3 - 32*t**2 + 35*t**2 - 36 + 22*t + 2*t.\nAnswer: -3*(t - 2)**2*(t + 3)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 1\/(-1*(5\/(-2) - -3))?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 15919050 and 160?\nAnswer: 254704800","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is -740a1 + -4?\nAnswer: -740a5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 2.7281 rounded to two decimal places?\nAnswer: 2.73","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -0.05 + -0.25. Let o = -14396\/23 - -626. Which is the nearest to j? (a) o (b) 2 (c) 2\/9\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 13332892?\nAnswer: 2, 53, 61, 1031","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Express -59 + 11464*a + 105 - 46 - 2642*a as j + i*a and give i.\nAnswer: 8822","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 303571*p**2 + 2*p - 2031338 wrt p?\nAnswer: 607142*p + 2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Round -1.28732 to two dps.\nAnswer: -1.29","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is -1110000 rounded to the nearest 100000?\nAnswer: -1100000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((d*(d*d*d*d\/(d*d**(-11)\/d*d*d)*d)\/d*d)\/(d\/(d**0*d)))**(-34\/3) assuming d is positive.\nAnswer: d**(-170)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: (-40)\/(-6)*(-1710)\/380\nAnswer: -30","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Divide -12030876 by 41.\nAnswer: -293436","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*z = 8 - 2. Suppose -5*j + 7 = -3*t - 0*t, t - z = -j. Let f(b) = 1 - t - 6*b**3 + 1 - 4*b**3. Calculate f(1).\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put together 17 and -99.\nAnswer: -82","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.0063828203 rounded to 3 dps?\nAnswer: 0.006","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*q + 2*n = 12, -11 + 1 = 4*q - n for q.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let d(m) = -85957*m - 85611. Give d(-1).\nAnswer: 346","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let y(z) = z + 11. Let a be y(-6). Let q(p) = -2*p**2 - 15*p - 7. Let t be q(-7). What is the third biggest value in a, t, -3?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 25516*v**3 - 2493*v**3 + 29420*v**3 + 175*v**3.\nAnswer: 52618*v**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 r and 2 q when three letters picked without replacement from {r: 10, q: 2}?\nAnswer: 1\/22","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve g - 2*k + 59 = 2*k + 73, 4*g - 32 = 4*k for g.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: (8\/(240\/25))\/(10\/16)\nAnswer: 4\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let d(t) be the second derivative of -23*t**7\/6 - 5*t**4\/12 - 9*t**3 - t**2 - 17*t - 70. What is the second derivative of d(y) wrt y?\nAnswer: -3220*y**3 - 10","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 x and 3 h when four letters picked without replacement from {h: 4, a: 8, x: 2, b: 1}?\nAnswer: 8\/1365","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let a(f) = f**3 - 11*f + 6. Let n be a(5). Suppose -d - 64 = -n. Sort 2, 1, d, -12 in ascending order.\nAnswer: -12, 1, 2, d","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(z) = z**2 - 2*z - 81. Let c be r(-8). Put c, 2, -12 in descending order.\nAnswer: 2, c, -12","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -3.4 - 107.53602?\nAnswer: -110.93602","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -17.1 - -17. Let u = -1.45 + 168.45. Let p = -115 + u. Which is smaller: p or m?\nAnswer: m","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*j = 5*o + 36, -3*j + 2*o = 5*o for j.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 431 is divided by 62?\nAnswer: 59","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.0000133054 to seven decimal places.\nAnswer: 0.0000133","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Sort 5, -1.353, 566, -6.\nAnswer: -6, -1.353, 5, 566","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let n(u) = 3*u**3 - 17*u - 17. Let c(d) = d**3 - 6*d - 6. Let a be ((-11)\/44 - -1)\/((-6)\/(-136)). What is a*c(h) - 6*n(h)?\nAnswer: -h**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 688 and 215.\nAnswer: 43","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*t = 4*d - 216 + 42, -5*d - 2*t = -214. Which is the nearest to 3? (a) 5\/2 (b) -8 (c) d\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0.2 in 1, -0.3, -5, -129, 0.6?\nAnswer: 0.6","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -475 = 6*j - 7. Let h be (-54)\/(-36) + j\/(-4). What is the units digit of 33\/h + (-4)\/7?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 48 - (-88 - -92 - 2)?\nAnswer: 46","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 106966829 is divided by 107.\nAnswer: 106","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -7*b - 8*b - 6*b - 9*b + 21*b.\nAnswer: -9*b","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*j - 192 - 108 = 0. What is the units digit of j\/9*-3 + -1?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 118*a = 127*a - 63 for a.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -1 - -1. Let j be (5 - 6)*(-2 - -3). Sort j, -3, c in ascending order.\nAnswer: -3, j, c","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 6.8 + -7. Let x be (-9)\/(-12)*(-1)\/(-3). Let f be 3 + 27\/(-15) + -1. Which is the biggest value? (a) g (b) x (c) f\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(p) be the second derivative of p**7\/273 + 4*p**6\/195 + p**5\/130 - p**4\/13 - 72*p. Let o(y) = 0. What is y?\nAnswer: -3, -2, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 18237 is divided by 3.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from weegwwwqewewgw. Give prob of picking 1 g and 3 w.\nAnswer: 10\/143","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let x(u) = -3*u - 1 + 3*u + 28*u**2 - 12*u**2. Is 15 a factor of x(-1)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) -1\/7 (b) 1\/2 (c) 2\/89 (d) -79141 (e) 0.1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 1.3530979 take away 18?\nAnswer: -16.6469021","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -0.64 - -0.6. Let n = -19219 + 19219. Which is the closest to k? (a) -5 (b) 0.1 (c) n (d) -1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -4 (base 15) to base 5.\nAnswer: -4","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 6.62 - 3.28. Let j = d - 3.32. What is the third biggest value in 3, j, 0.4?\nAnswer: j","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-5)\/((-75)\/6))\/(14460\/3000*-10).\nAnswer: -2\/241","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from fkfkkfkfff. What is prob of picking 1 k and 3 f?\nAnswer: 8\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -59 - 1 = 20*l. Sort -5, l, 4, -19 in decreasing order.\nAnswer: 4, l, -5, -19","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -1 - -0.9. Let o(t) = -29*t + 2. Let n be o(-2). Let p be -2 + 39\/18 + (-55)\/n. Which is the third biggest value? (a) p (b) w (c) -4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8*p + 0 = -8. Which is the smallest value? (a) p (b) -0.3 (c) 5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 59 - 46. Suppose 5*k + g - 93 = 0. Suppose q - k = -3*q, 0 = -4*s + 5*q + 1464. Is s composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(d) = d**3 + 2*d**2 - 2*d - 5. Suppose 8*m = 13*m + 73*m + 234. Give h(m).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -11570000 rounded to the nearest 1000000?\nAnswer: -12000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.03345285 rounded to 6 decimal places?\nAnswer: 0.033453","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -18 + 12. Let h be n\/(-4) - 6\/24*-6. Solve -5 = -4*i - 5*p, -4*i + 2 = -p + h*p for i.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -22*m = -20*m - 12. Let r(l) = 3*l - 46. Let z be r(m). Let x = z + 28. Solve 2*o - 3*v = -8, 3*o + 5*v - 15 - 11 = x for o.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 799 and 155771.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 14 is divided by ((-216)\/(-90))\/(3\/10)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 17359704 to the power of 1\/3, to the nearest integer?\nAnswer: 259","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is 176692908 a multiple of 834?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Express 34*o + 4*o**4 - 5*o**4 + 3*o**4 + (o**3 - 2 + 2)*(-6*o - 7*o + 5*o) as m*o**3 + q + k*o**2 + s*o + v*o**4 and give s.\nAnswer: 34","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -1992 + 1991. Let j = 26\/11 + -119\/55. Sort -4, j, p, 5 in ascending order.\nAnswer: -4, p, j, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (-7)\/3 + 6\/(-9). Let u = i - -166. Is u a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -73\/175234 and 9\/85480?\nAnswer: 3504680","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Convert 7062 (base 14) to base 4.\nAnswer: 10231132","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: 1 * -43.9\nAnswer: -43.9","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 5.22 + -0.22. Let o = t + -1. What is the second biggest value in 2\/5, o, 0?\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -44 + 88. Let p = -24 + i. List the prime factors of p.\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(55)\/(sqrt(10)\/sqrt(2)*-3) - ((sqrt(704) + 1 + sqrt(704) + 5 - sqrt(704))**2 + sqrt(704)).\nAnswer: -740 - 313*sqrt(11)\/3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Put 2\/3, 0.05, -0.2, 0.7225, -16 in descending order.\nAnswer: 0.7225, 2\/3, 0.05, -0.2, -16","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let d be -60*(2 + (-12)\/8). Let p be 15\/d - (-2)\/(-4)*-1. Let i be (-4)\/(-2)*10\/(-4). What is the closest to -1 in i, p, -7\/5?\nAnswer: -7\/5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is 1 - -70499?\nAnswer: 70500","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of -1863446, -1863406, -1863338, -1863242, -1863118?\n\"Answer: 14*b**2 - 2*b - 1863458","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 622 - 195*g - 622 + 444*g - 193*g.\nAnswer: 56*g","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (1*-9)\/(-3)*1. Let g = -0.2 + 0.3. Let s(m) = m - 17. Let v be s(15). Which is the nearest to g? (a) -2\/7 (b) j (c) v\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -539 = 39*u + 23*u + 143 for u.\nAnswer: -11","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Convert 896.3426 hours to milliseconds.\nAnswer: 3226833360","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -8 - -8.2. Let f = -29.5 - 8.5. Let y = 37 + f. Which is the nearest to l? (a) 5\/2 (b) y (c) 0.4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (7*b + 10*b - 14*b)*(2*b - 3*b + 0*b) + 5*b**2 - 3*b**2 - b**2 - 2*b**2 + 12*b - 2 + 16*b - 25*b.\nAnswer: -4*b**2 + 3*b - 2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 336 and 1066464.\nAnswer: 1066464","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let a(l) = l + 7. Let i(g) = -5*g**2 - g. Let v be i(1). Calculate the least common multiple of a(v) and 6.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in -2\/2513, -4, 1\/7, 11, -64, 0.5, -0.2?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 263593491 to the power of 1\/3, to the nearest integer?\nAnswer: 641","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (t**(-8\/9)\/t)\/((t**(-1\/2)*t)\/t)*((t**17*t)\/t)\/(t\/(t*(t*t**(-2\/41)*t)\/t)) assuming t is positive.\nAnswer: t**(12223\/738)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let y(f) = -f**3 - 5*f**2 + 27*f + 414. Is y(-11) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 6642 + -6594. Calculate the highest common divisor of 816 and a.\nAnswer: 48","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 326 is divided by 47.\nAnswer: 44","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 1040 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: Does 107 divide 30508305?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Sort -14399497, 0.05, 1 in ascending order.\nAnswer: -14399497, 0.05, 1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: -180895 + -94\nAnswer: -180989","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Divide -99634 by -3214.\nAnswer: 31","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -1\/13 in -2\/9, -0.1, 2\/9?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*k = -3*s - 9, 934*s - 937*s - 7 = -4*k for k.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2640176?\nAnswer: 2, 7, 11, 2143","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:40 AM and 6:18 AM?\nAnswer: 38","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (0*6\/18)\/((-2)\/(-2)). Let u(q) = -q**2 - 3*q + 9. What is the remainder when 32 is divided by u(i)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 569 + -350. Suppose -g = -4*f + 621. Is 12 a factor of f?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 60388 and 170376?\nAnswer: 124","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -905171*l**2 + 19217898 wrt l?\nAnswer: -1810342*l","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let i(s) = -s**2 + 37126*s + 371401. What is i(-10)?\nAnswer: 41","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2\/5*d**3 + 1\/5*d + 0 + 1\/5*d**5 + 0*d**4 + 0*d**2 = 0.\nAnswer: -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1090257681.\nAnswer: 3, 5107, 71161","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of 36, 76, 118, 162, 208, 256?\n\"Answer: o**2 + 37*o - 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*h + 4*t = 4067, 2*h + 5*t + 2742 = 4*h. What is the tens digit of h?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 0.7772161cm to micrometers.\nAnswer: 7772.161","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5122752 = 6*z - 26*z + 5122332 for z.\nAnswer: -21","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 37837.\nAnswer: 157, 241","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -2 in 2\/11, 5\/103448, -2?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -11\/7? (a) -11 (b) 1 (c) 12.1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 414 minutes after 12:55 PM?\nAnswer: 7:49 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 25 + -25. Let g = o - -10. Let d = g - 10.1. Sort 1\/4, -4\/7, d in decreasing order.\nAnswer: 1\/4, d, -4\/7","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -874 - -370. Let o = j - -798. Is 10 a factor of o?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 2163\/52 + -167\/4. Let s = 87\/13637 + 2897959\/11741457. Let y = s + 4\/123. Which is the closest to f? (a) y (b) -5 (c) 0.4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -3 + 7. Suppose 0 = 3*c + m*w + 11 + 31, -c - 14 = 2*w. Let j be 4\/14 - 220\/c. Calculate the greatest common factor of j and 2.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is (5273\/2)\/((-24)\/(-48)) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-4)\/11 - ((-238708)\/63910 + 4\/5)\nAnswer: 18\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(m) be the second derivative of -7*m**4\/4 - m**3\/3 - 29*m**2\/2 + 38*m. What is the second derivative of r(h) wrt h?\nAnswer: -42","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(t) = -1 - 3*t**2 + 1. Let n(q) be the second derivative of -q**5\/30 + 7*q**2\/2 + 5*q. Let f(p) be the first derivative of n(p). Calculate l(f(j)).\nAnswer: -12*j**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Divide 4695 by -7.\nAnswer: -4695\/7","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: (-3)\/270*4*-5\nAnswer: 2\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 0 bigger than -350\/485411?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 327810 divided by 2.\nAnswer: 163905","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*o - 5 = -30. Let a = o + 3. Let q(u) = -7*u + 1. Is q(a) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (-14)\/(-6)*(-1728)\/(-336). Solve f = -11*r + 5*r for r.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in 2\/45, -0.3, 146, 0?\nAnswer: 2\/45","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 2376 and 540?\nAnswer: 108","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from mkakkmhk. Give prob of picking 1 a, 1 k, and 1 m.\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 515910?\nAnswer: 2, 3, 5, 29, 593","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Factor -360*i + 0 - 108*i**2 + 13\/3*i**4 + 6*i**3 + 1\/3*i**5.\nAnswer: i*(i - 5)*(i + 6)**3\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c be 9\/(-2)*(-2)\/3. Suppose -5*r - 7 = -0*o - 2*o, 3*r = -c*o + 21. Suppose -2*q + 0 = -o. Let n(x) = -x**3 + 4*x**2 - 5*x + 4. Determine n(q).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: -1455 (base 7) to base 9\nAnswer: -713","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -27\/8920 and 115\/78848.\nAnswer: 87915520","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -2136 + 2195. Calculate the remainder when 943 is divided by f.\nAnswer: 58","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 350 is divided by 126?\nAnswer: 98","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-3 + sqrt(17) + sqrt(17) + -4 + sqrt(17) - sqrt(17)) + 4 - -3*sqrt(153)*-6)**2.\nAnswer: 312*sqrt(17) + 45977","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 47976 (base 13) in base 3?\nAnswer: 20200000210","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 190321 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*c = f - 144 - 65, c = 4*f + 48. Suppose -19 = 3*p - c. Calculate the remainder when 21 is divided by p.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 75686 is divided by 145?\nAnswer: 141","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.07993107986 to 4 dps.\nAnswer: -0.0799","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (40\/15 - 2)*9. Suppose 0 = -d*h + 12 - 0. Is 28\/11 less than h?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 26 to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is thirty-one fifths of a minute in seconds?\nAnswer: 372","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 59632078573 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is -1011010 (base 2) in base 3?\nAnswer: -10100","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -2\/5 in -5, 2\/11, 0.5, -2\/659?\nAnswer: -2\/659","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -437\/1037 + -3\/61. Let g = l - -41\/51. Let h = -0.2 - -0.3. What is the third biggest value in 0.09, 1, h, g?\nAnswer: h","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(j) be the first derivative of j**3\/3 - 16299. Let h = 0 + 2. Let r(b) = -3*b**2 - 2*b**2 + 26*b**h. Calculate q(r(w)).\nAnswer: 441*w**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let t(s) = 6*s**2 + s - 9. Let z(o) = 7*o**2 - 13. Let a(n) = 5*t(n) - 4*z(n). Give a(-2).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 21086 to the nearest integer?\nAnswer: 28","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 5598.2 - 5598. What is the nearest to 35 in h, -19, 0?\nAnswer: h","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 391 to the nearest integer?\nAnswer: 20","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 2220 and 162171.\nAnswer: 111","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 151.1 - 150.6. Which is the nearest to 51\/5? (a) 0.4 (b) t (c) -5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 3 - 0.209789740722.\nAnswer: 2.790210259278","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0, 69, 27, -399, -5 in decreasing order.\nAnswer: 69, 27, 0, -5, -399","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: (((-91)\/42)\/13)\/(1\/(-30))\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Find l such that -2*l**2\/19 + 2348*l\/19 - 689138\/19 = 0.\nAnswer: 587","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) -6 (b) 3985 (c) 0.3 (d) -4 (e) -0.3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose w - 5*g - 9 - 11 = 0, -4*g - 16 = 0. Suppose w = -10*p + 5*p + 20. Suppose 11*i - 7*i = p. Let o(b) = 12*b**2 - 1. What is o(i)?\nAnswer: 11","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 97043 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from hmrgajagh. Give prob of picking 1 j, 1 a, and 1 h.\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 1.3 - 19076164?\nAnswer: -19076162.7","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3*l**2 + l**2 - l**2)*(2*l + l - 2*l).\nAnswer: 3*l**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -10 + 10 - (-1 - 13 - -5).\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 1*((-10)\/(-2))\/1?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 587904649 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of 807, 775, 729, 663, 571, 447, 285, 79?\n\"Answer: -i**3 - i**2 - 22*i + 831","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((d*d**(-1)*d)\/(d*d**6))\/(d**2*d**(-1))*((d*(d\/d**(2\/5))\/d)**(1\/6))**18 assuming d is positive.\nAnswer: d**(-26\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 11591202?\nAnswer: 2, 3, 7, 275981","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 28 - 20. Suppose -4*y = 4 + p. Is (-15)\/((-9)\/y)*-7 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(s) = 71*s**2 + 11*s. Let f(l) = 49*l**2 + 41*l + 7. Let b(u) = 47*u**2 + 36*u + 6. Let w(d) = -7*b(d) + 6*f(d). What is -6*g(r) - 11*w(r)?\nAnswer: -41*r**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 3 - 3.2. Let y be (4\/(-18))\/(4\/(-12)). Let m be (464\/(-145))\/((-2)\/5). Which is the closest to s? (a) m (b) y (c) 0.5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many microseconds are there in three eighths of a millisecond?\nAnswer: 375","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 1256*p**2 + 48 - 48 + 1234*p**2.\nAnswer: 2490*p**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-3*(sqrt(286) + sqrt(286)*1) - sqrt(286))\/(sqrt(539)*-1))\/((sqrt(8) - (sqrt(64) + sqrt(64)*-2)\/sqrt(8) - sqrt(8))\/((sqrt(12)*1)\/sqrt(3))).\nAnswer: sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: -869820 divided by -7980\nAnswer: 109","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is -859508016 divided by -304?\nAnswer: 2827329","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve -23*a + 13*a = -30 for a.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (-10)\/(-45) + 688\/(-18). Let q be (8 + r)*74\/(-4). Factor 563*k - q*k + 4 + 4*k**2 + 0*k**2.\nAnswer: 4*(k + 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 16, 1, -26, -283, 0 in decreasing order.\nAnswer: 16, 1, 0, -26, -283","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 3811157 to the power of 1\/2, to the nearest integer?\nAnswer: 1952","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Convert -3025395 (base 10) to base 5.\nAnswer: -1233303040","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -707*i - 289*i**5 - 356*i**5 - 311*i**5 - 5*i**4 + 880*i**5 wrt i?\nAnswer: -1520*i**3 - 60*i**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 94759 is divided by 564.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*n + 19 = 3*x, n - x - 274212 = -274218 for n.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 26318 is divided by 235.\nAnswer: 233","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -70 - -125. Is g composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(a) = 23*a**2 - 6*a + 17. Let u(k) = -k + 7 + 5*k**2 - 4 - 3*k**2 + 2*k**2. Calculate 6*t(p) - 34*u(p).\nAnswer: 2*p**2 - 2*p","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Expand (12*w**3 + 6*w**3 - 21*w**3)*(-49*w + 2*w - 4*w).\nAnswer: 153*w**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 679 minutes after 5:19 AM?\nAnswer: 4:38 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let w(o) = 2*o**2 - 3*o + 3. Let j(u) = u**2 - u + 2. Let b(g) = 5*j(g) - 3*w(g). Let y be b(4). Solve 0 = -5*r + 4 + y for r.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (102\/15)\/((-2)\/(-30)). Let x(z) = b*z - 103*z + 4 - 1. What is x(3)?\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is 21 - 1609?\nAnswer: -15e8","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) 3 (b) -14302035 (c) -7\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let c(f) = -538*f**2 + 6548*f - 1098. Determine c(12).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let b(p) = -2*p**3 + 4*p**2 - 4*p + 3. Let l be b(2). Let h = 7 + l. Let z(n) = 0*n**2 + 3 + 3*n**2 + 5*n - 4*n**3 + n**h + 3*n**3. Determine z(5).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(a) be the second derivative of -a**6\/45 + a**5\/9 - 7*a**4\/54 - 4*a**3\/27 + 4*a**2\/9 + 38*a. Let t(g) = 0. Calculate g.\nAnswer: -2\/3, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -29 + 31 + -37 - (-1 - (2 + -4))?\nAnswer: -36","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 0 + 5 + 4 + (3 - 4)?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 8\/(-12)*3\/(15\/(-5))?\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -v**4\/4 - 5755*v**3\/4 - 8328831*v**2\/4 - 4644880609*v\/4 - 225509122663 = 0. Calculate v.\nAnswer: -3916, -613","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is 1021 + 23?\nAnswer: 1110","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is (2 + 4\/(-5))\/(596\/(-447)*9\/30)?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*w - 2*n, 0 = -2*w - 8*n + 12*n - 12. Let l be w\/(-1)*(34 + -36). Let p = 0.1 + 1.1. Which is the smallest value? (a) -3 (b) p (c) l\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -3022 divided by 492?\nAnswer: -1511\/246","meta":{"dup_signals":{},"source":"arithmetic__div_test"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*p + 20, -2*p + 25 = 5*z - 0*p. Let g = -32657 + 783653\/24. Find the common denominator of g and z\/6 + 23\/11.\nAnswer: 264","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(b) be the first derivative of b**6\/360 - b**5\/36 + b**4\/18 + 17*b**2\/2 - 8. Let s(n) be the second derivative of h(n). What is m in s(m) = 0?\nAnswer: 0, 1, 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from vvvfiivvfovvzivfviv. What is prob of sequence iv?\nAnswer: 20\/171","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is 2921 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (1\/2)\/(1\/4). Solve -2*u = -o + 4 for u.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 9836*f**2 - 19124 wrt f.\nAnswer: 19672*f","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0 - 3 + 5)*(3*q**2 + 0*q**2 - 2*q**2) + 23*q**2 + 22*q**2 - 38*q**2.\nAnswer: 9*q**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 97567762?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 197\/21 + -29\/3. What is the nearest to y in 3, -2\/41, 1?\nAnswer: -2\/41","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 17709456 divided by -8.\nAnswer: -2213682","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let k(p) = 3*p**3 - 18*p**2 + 5*p - 3. Calculate the remainder when 72 is divided by k(6).\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((j*j*j**0)\/j*j)**(-14))**(-8)*(((j**(-2\/3)*j)\/j)**(3\/25))**(7\/4) assuming j is positive.\nAnswer: j**(11193\/50)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*a - 5*c = 97, 0 = 2*a + 4*c - 2 - 26. Let x = -21 + a. Calculate the highest common divisor of 3 and x.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(j) = 44*j**2 + 6*j + 36. Calculate the remainder when n(-3) is divided by 13.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -36*u**2*y**3 + u**2*y**2 + u*y**4 - 33*u*y**2 - 67*u*y - 4*y**4 - 4*y**3 + y**2 wrt y.\nAnswer: -216*u**2 + 24*u*y - 96*y - 24","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Product of 2658 and -0.4.\nAnswer: -1063.2","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let g(d) be the first derivative of 32*d**3\/3 + 2526. Let w(u) = 73*u**2. Give w(g(k)).\nAnswer: 74752*k**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Express -1645*c + 651*c + 3815*c**2 + 994*c in the form g*c**2 + x*c + y and give y.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0.1? (a) -0.3 (b) 0.2 (c) 2 (d) 1\/1088\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 89248 and 32.\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Sort -12, -64, -0.33, -4.\nAnswer: -64, -12, -4, -0.33","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (-1)\/(-5) - 84\/(-30). Solve y - i + 3 + 4 = 0, 11 = -z*y + i for y.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2263515*r - 1629*r**2 + 2263515*r)*(2*r + 1 - 1)*(-2*r**2 - 2*r + 2*r).\nAnswer: 6516*r**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Sort -4, -2, 3, -1, -1373 in ascending order.\nAnswer: -1373, -4, -2, -1, 3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 0 or 517\/33664?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Expand (313*b - 1955*b + 476*b)*(0*b**2 - 2*b**4 + 0*b**2).\nAnswer: 2332*b**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -40.4 - -35. Let v = d - -5.38. Let s = 0.308 + v. What is s rounded to 2 dps?\nAnswer: 0.29","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -471 - -1007\/2. Let b = p - 33. Let z = 1.5 + 3.5. What is the nearest to b in 4\/9, z, 2?\nAnswer: 4\/9","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify o**(-18)\/o**(9\/7) assuming o is positive.\nAnswer: o**(-135\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify h**(-1\/2)\/(h**(-4)\/h) assuming h is positive.\nAnswer: h**(9\/2)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is (-16 - -19) + (1 - 7)?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let x(k) = k**2 + 6*k + 7. Let b be ((-202)\/8)\/(1\/(-4)). Suppose 4*q - t = -q - b, q = 4*t - 24. Let l be 78\/(-14) - q\/35. What is x(l)?\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (1*sqrt(132)*-6)\/((sqrt(121)*1)\/sqrt(11)).\nAnswer: -12*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -58 + 131. Suppose -4*z - 25 = -d. Suppose -3*s - 5*n + 17 = -0, 2*s - 2*n = 6. Solve z = -s*l + l for l.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 1155 + -9225\/8. Suppose -5*u + 4*a = -19, 0*a - 3*a = 5*u - 12. Suppose -2*s + 0*y + 12 = -3*y, 0 = 3*s + u*y - 3. Is s at most k?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -r + 15 = 2*r. Suppose 0 = 2*z - 2*y - 2 - 2, -5*y = 4*z + 37. Let b = z - -1. Sort r, b, 1 in descending order.\nAnswer: r, 1, b","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -1 - (2 + (43 - 1) + 374 + -369).\nAnswer: -50","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Express -1533*o**2 + 771*o + 723*o - 1497*o in the form s*o**2 + t*o + b and give t.\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let p be 5\/1 - (4 - 2). Let b = -1973\/132 + 199\/12. Calculate the common denominator of b and (-2)\/p*(-201)\/(-16).\nAnswer: 88","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: 1342 (base 11) to base 5\nAnswer: 23430","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((1*sqrt(38)*4)\/((sqrt(14) + sqrt(56)\/sqrt(4))\/sqrt(7)))**2.\nAnswer: 76","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 157438317?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Sort 28, 6699, 159 in descending order.\nAnswer: 6699, 159, 28","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2, 18, 1724, -5 in ascending order.\nAnswer: -5, 2, 18, 1724","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -36*j**4 + 2*j**2 - 35*j**4 - 2*j**3 + 2*j + 1 - 32*j**4 + 101*j**4 to the form m*j**3 + v*j + c + n*j**2 + a*j**4 and give c.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let r(s) = 107*s**2 - 10*s - 5. Let z(f) = 321*f**2 - 28*f - 13. Give 8*r(d) - 3*z(d).\nAnswer: -107*d**2 + 4*d - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 31 + 42. Let h = 5.766346 - 78.766976. Let z = o + h. Round z to four decimal places.\nAnswer: -0.0006","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is fifty-nine fifths of a gram in milligrams?\nAnswer: 11800","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 132 a factor of 49036812?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -133 - -131.01. Let u = 0.01 - y. Let i = u - 1. What is the nearest to 1\/3 in i, 2, -1?\nAnswer: i","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: -10110121 (base 4) to base 9\nAnswer: -26234","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -83.9 - -0.9. Let p = -83 - v. What is the third biggest value in 1, 0.5, -3, p?\nAnswer: p","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*i = w - 61, -5*i + w = -w - 73. Let m = 0 - -57. What is the remainder when m is divided by i?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 d and 1 o when three letters picked without replacement from jddljxodjjdjldlllll?\nAnswer: 10\/969","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 d and 1 e when two letters picked without replacement from {n: 1, u: 1, e: 2, s: 2, d: 4}?\nAnswer: 8\/45","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is 15364768801 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is -32 - (9 + (12 - 8 - (-8 - -16)) + 7)?\nAnswer: -44","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (4\/(-18))\/((-24)\/(-972)*(2 + (-33)\/12)).\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 628 minutes after 2:58 PM?\nAnswer: 1:26 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*z**2\/5 - 7262508*z\/5 + 4395335204172\/5 = 0.\nAnswer: 1210418","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let w(j) = -4*j + 358. Calculate the remainder when w(-31) is divided by 17.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 0 + 2. Let r(a) = -2 + q*a + 2. Let z(v) = -3*v**2. Give r(z(h)).\nAnswer: -6*h**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let m be 16\/(-12) - (-184)\/3. Suppose -5*t + 105 = 3*n, 2*n - 3 = -3*t + m. Calculate the remainder when 81 is divided by t.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 9328?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: -14 + (-4 + 13 - -14)\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let n(i) = -5*i**3 - 864*i**2 + 171*i - 353. Determine n(-173).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let b(s) = 6*s**2. Let c(n) = -15*n + 3. Let m(i) be the first derivative of 22*i**2 - 8*i - 23. Let y(v) = 8*c(v) + 3*m(v). What is b(y(u))?\nAnswer: 864*u**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: 5 - 3000486945\nAnswer: -3000486940","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is 351481702 a multiple of 19?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.0017459 rounded to 4 decimal places?\nAnswer: 0.0017","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of (-112)\/14 + (1254 - 0) and 2.\nAnswer: 1246","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (7 - 7 + 11*k)*(0 + 0 - 3*k)*(0*k**2 + k**2 + 0*k**2) in the form v*k**2 + s*k + r*k**4 + a + i*k**3 and give s.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve -345*m + 67800 = -238*m - 1237*m for m.\nAnswer: -60","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 42*y + 371*y - 13629 for y.\nAnswer: 33","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(17) - 2*sqrt(425) - sqrt(17))**2 - (4 + (sqrt(68)\/sqrt(4))**2).\nAnswer: 1679","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (1 - 1 - 1)*(-4*j + 2*j + 0*j) - j - 3*j + 6*j + 35*j + 45 - 101*j + 65*j to the form w*j + z and give w.\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (0 - -11) + -22 + 22 + (-38 - -94).\nAnswer: 67","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: -3510202 (base 7) to base 4\nAnswer: -1223102323","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let t(h) = -44*h + 3. Determine t(-1).\nAnswer: 47","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let q be -1*(-5)\/((-10)\/8). Let z be 5\/(2 + 3*-1). Let g(m) be the first derivative of m**2 - 1. Let w(t) = -2*t. Calculate q*g(d) + z*w(d).\nAnswer: 2*d","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:53 PM and 12:12 AM?\nAnswer: 19","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is 19547522909 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: -160 + 189 - (-3 - 4)\nAnswer: 36","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -10619 = -7*u - 0*u. Is u composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 403434 (base 6) to base 11.\nAnswer: 21a87","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 1272 divided by 231?\nAnswer: 424\/77","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let n be 6\/14 + 93442\/(-308). Let q = 303 + n. What is the common denominator of -7\/8 and q?\nAnswer: 88","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2486304 - 3*s**2 - 2486304.\nAnswer: -3*s**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let r(f) = -4377*f + 319. Let v(l) = 2189*l - 146. Let h(t) = 5*r(t) + 11*v(t). Suppose -w + 5*z = -7 - 5, 3*z = -6. Is h(w) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from lllzzlrzzslzlzlzl. What is prob of sequence zrzl?\nAnswer: 1\/170","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let c(v) = -v**3 + 10*v**2 - 73. Let u be c(9). Solve 2*m - 18 = 4*a, 4*a = -m - 7 - u for a.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -29*d + 17*d = 37 - 241 for d.\nAnswer: 17","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let u(q) = -7*q - 12 + 2*q - 1. Let a be u(6). Let v = 65 + a. What are the prime factors of v?\nAnswer: 2, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 2465 to the power of 1\/3, to the nearest integer?\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is 74563417 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*s - 4*l = 3, 2*s - 2*l = 3*s - 3. Let v = -31958 - -31954. What is the second smallest value in s, -0.01, v?\nAnswer: s","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*o + 4*n = 28, -2*o + 4*n - 38 = -14 for o.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 4488994?\nAnswer: 2, 53, 42349","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 203 - 1018\/5. Suppose 5 = 5*z - 0. What is the nearest to z in 0, h, 3?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -3 + 3 + 1167*a - 1132*a.\nAnswer: 35*a","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Expand 2*u**4 - 3*u**4 - u**4 + 5*u**4 + 2*u**4 - 5*u**4 + (-u**2 + 5*u**2 - 2*u**2)*(-3*u**2 - u**2 + 5*u**2) + 19*u**2 + 3*u**4 - 16*u**2 + 0*u**4.\nAnswer: 5*u**4 + 3*u**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.000001147425 to seven dps.\nAnswer: -0.0000011","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 13 or 181.56?\nAnswer: 181.56","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 4 + (sqrt(136)*-3 + sqrt(136) + sqrt(136))\/sqrt(8).\nAnswer: -sqrt(17) + 4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let r(n) = 88387*n. Let m(d) = 6*d. Give m(r(a)).\nAnswer: 530322*a","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 120 and 1048470?\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let i be ((-49)\/2)\/((-1)\/2). Suppose 0 = 3*p - 2*y - i, 2*p + p + 3*y - 54 = 0. List the prime factors of p.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(o) be the third derivative of o**6\/360 - o**5\/120 - o**3\/6 + o**2. Let h(i) be the first derivative of n(i). Factor h(t).\nAnswer: t*(t - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -270047 by 61.\nAnswer: -4427","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 2699\/174 + -242\/29. Find the common denominator of -107\/36 and s.\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 j and 1 c when two letters picked without replacement from aaajacjacajjcajc?\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 14 and 7?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let n(k) = -5578*k**2 + 234279*k - 103. What is n(42)?\nAnswer: 23","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Determine i so that -6*i**4\/17 + 28*i**3\/17 - 2*i**2\/17 - 52*i\/17 - 16\/17 = 0.\nAnswer: -1, -1\/3, 2, 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Convert 3517.295l to millilitres.\nAnswer: 3517295","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let n(z) = -10*z - 4. Let t(g) = -32*g - 14. Let x(k) = 30*n(k) - 9*t(k). Let p(i) = 24*i - 13. Give 6*p(y) + 13*x(y).\nAnswer: -12*y","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {a: 10, g: 2}. Give prob of picking 4 a.\nAnswer: 14\/33","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -2*z**3 - 11*z**2 - 111460*z - 18029265?\nAnswer: -6*z**2 - 22*z - 111460","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -4 divided by -7.\nAnswer: 4\/7","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 23326 (base 10) in base 7?\nAnswer: 125002","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 0.8 - 0.9. Let j = q + 0.3. Which is the biggest value? (a) j (b) 4 (c) -5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -q + 2*b + 2 = 0, 5*q - b - 16 = 3*b. Is -8 less than q?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 991175388 and 36.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -81 = -28*r + 19*r. Suppose -4*s + r = -3*s. Which is greater: -6 or s?\nAnswer: s","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (6\/4)\/(7\/(-28)). Let f(o) = -7*o**2 + o - 17*o**3 - 6*o + 16*o**3. Calculate f(g).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 16*i - 14*i - 24. Calculate the highest common factor of i and 96.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 31221054 a multiple of 19?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth root of 24 to the nearest integer?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 248478789?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 70 is divided by 20?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -79\/36 and (-242)\/((-996)\/(14 - 13)).\nAnswer: 2988","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (j*j\/j**(-2\/51))**(4\/33)*j**17\/(j**(2\/5)\/j) assuming j is positive.\nAnswer: j**(150184\/8415)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -4 + -2*sqrt(13) - (sqrt(26)\/sqrt(2) + 0).\nAnswer: -3*sqrt(13) - 4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 4350 and 12580.\nAnswer: 5472300","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 62762815?\nAnswer: 5, 29, 432847","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of 2036, 2034, 2032, 2030?\n\"Answer: -2*u + 2038","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve -y + 17 + 2 = 5 - 12 for y.\nAnswer: 26","meta":{"dup_signals":{},"source":"algebra__linear_1d_test"},"subset":"dm_maths"} +{"text":"Question: What is 17\/2 of a millennium in decades?\nAnswer: 850","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let r(h) = -h**2 - 8*h + 19. Give r(-8).\nAnswer: 19","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is 186451200 a multiple of 39?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Which is the seventh smallest value? (a) 10 (b) -35 (c) 1 (d) 2.08 (e) 4 (f) 3 (g) -17\/6\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is 80 a multiple of 9?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let v(c) = -26*c**2 - 8*c + 39. Let u be v(7). Let h = 8112 + u. Is h composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is -1012 + 3122?\nAnswer: 2110","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {l: 11, s: 2, x: 1, p: 2}. What is prob of picking 2 l and 1 s?\nAnswer: 11\/56","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is -354 divided by -177?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let v(l) = 4*l**2. Let c(t) be the second derivative of 59*t**3\/3 - 37*t + 1. Calculate c(v(g)).\nAnswer: 472*g**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 17 and 136.\nAnswer: 136","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 1 - (1 - 44) - (-29 + -25 + -47 + 98)?\nAnswer: 47","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -559 - -743. Is 28 a factor of w?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -1706*v**2 + 3952*v + 1708*v**2 - 6 + 6 - 3952*v.\nAnswer: 2*v**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is 1200102012221212 + 1010?\nAnswer: 1200102012222222","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is 69163463519 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*t + 3 = 8. Calculate the common denominator of (-1173)\/(-540) + (-2)\/9 and 174\/(-28) - t\/1.\nAnswer: 140","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 2604011 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 48897 + -48896.99510725. Let w = f - 0.0049. Round w to 6 dps.\nAnswer: -0.000007","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 28512 and 9504?\nAnswer: 28512","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 91\/220 + -1\/20. Let n = -1 - -4. Let w = 7616.8 + -7617. Sort n, d, w.\nAnswer: w, d, n","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange ((2 - 2 - l)*(-6 - 10 + 8) - 2*l + 2 - 2)*(-4*l + 4*l + 2*l + (1 - 5 + 5)*(-2*l + 0*l + l)) to the form r + m*l + t*l**2 and give t.\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -69 - -69. Suppose -40*p + 36*p + 812 = q. Find the third derivative of p*y**3 - 104*y**3 - 105*y**3 + 0*y**2 + 7*y**2 wrt y.\nAnswer: -36","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of (-1 - -437) + (-12)\/20*5?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-115)\/5)\/(355\/355)?\nAnswer: -23","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let y(h) = -15*h**3 - 8*h**2 - 5*h + 15. Let b(r) = 2*r**3 + 2*r**2 - r - 1. Let p(f) = 35*b(f) + 5*y(f). Suppose p(t) = 0. Calculate t.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 a and 3 h when four letters picked without replacement from {a: 12, h: 3}.\nAnswer: 4\/455","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of 1950, 2127, 2304, 2481?\n\"Answer: 177*m + 1773","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(44) + ((-3*sqrt(264) - sqrt(264)) + sqrt(264) - sqrt(264))\/sqrt(6))**2.\nAnswer: 396","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -90*q + 937077 = -3*q. Is q a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 97\/1864 and -109\/12.\nAnswer: 5592","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from yoyxogygnyyyygyb. Give prob of sequence xgb.\nAnswer: 1\/1120","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is 9811 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Find r such that -5*r**3\/4 - 129730*r**2 - 13465454945*r\/4 - 40387024815\/2 = 0.\nAnswer: -51889, -6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3575 = 31*l - 145*l + 871. Solve -11*z = -l*z + 168 for z.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of -57, -111, -165, -219, -273?\n\"Answer: -54*n - 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let m(q) = 2*q - 6. Determine m(5).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the billions digit of 1187351728?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence vv when two letters picked without replacement from cvcvnvjnnc?\nAnswer: 1\/15","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let h(z) = -z**2 - 15*z + 112. Is h(-17) a multiple of 19?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 0*l**3 + 214 + 3*l**3 - 60.\nAnswer: 3*l**3 + 154","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let y(g) = -g**2 - 72*g - 1267. Give y(-40).\nAnswer: 13","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 864 = -80*c - 3051 - 1445 for c.\nAnswer: -67","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -v - x - 4*x + 1031 = 0, -5*v + 5103 = -x. Suppose 0*l - 5*r - 181 = l, -5*l - v = -4*r. Let f = l - -389. What are the prime factors of f?\nAnswer: 2, 47","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l be 136\/12*(-918)\/(-12). Suppose -5*w + 168 + l = 0. What is the greatest common divisor of w and 46?\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 112345 is divided by 10198?\nAnswer: 167","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -1 divided by 319.\nAnswer: -1\/319","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let v(c) = 16*c**2 + 4*c + 21. Let y(r) = -3*r - 19. Let x be y(-6). Let l(w) = w**3 + w**2 - w. Let q(a) = x*l(a) - v(a). Is q(-17) a multiple of 15?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_test"},"subset":"dm_maths"} +{"text":"Question: What is 1\/4 of a year in months?\nAnswer: 3","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 2237?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4 = -r + 6. Suppose 3*b + 12*b**3 + 13*b**2 - 32*b**4 + 35*b**4 + 3*b + r*b**2 = 0. Calculate b.\nAnswer: -2, -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 341809574 a multiple of 107?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 224 and 28?\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0.1 in 0, -2\/1549, -1209\/29, -1\/6?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Sum 5779 and 0.7714.\nAnswer: 5779.7714","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -58 - -96. Suppose 0 = -r - 3*r + 12. Let g(u) = 2*u**3 - 4*u**2 + u - 1. What is the remainder when z is divided by g(r)?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -2\/3, 15, -2\/17 in increasing order.\nAnswer: -2\/3, -2\/17, 15","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of -40531, -40532, -40533, -40534, -40535?\n\"Answer: -f - 40530","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.00001142 rounded to 6 dps?\nAnswer: -0.000011","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-369)\/9*(212\/371 + 3\/7)?\nAnswer: -41","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 10*r + 13 - 33. Let k be 2\/(-3)*(0 - 9). Let c be 8*((-2)\/(-2))\/k. Which is bigger: r or c?\nAnswer: r","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7*q = 53 - 39. What is the smallest value in 2\/5, 10, -4\/9, q?\nAnswer: q","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 3 i when three letters picked without replacement from tisiccitcsi?\nAnswer: 4\/165","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Put 23, -1, -4 in decreasing order.\nAnswer: 23, -1, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let h(l) be the second derivative of l**3\/6 + 5*l**2\/2 + 6*l. Let s be h(-7). What is the tens digit of (-1)\/((8\/52)\/s)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(y) = -5*y. Let s(w) = -1. Let d(x) = b(x) - 2*s(x). Suppose -3*l + 4*v - 8 = 37, 3*l = -3*v - 24. Let t(f) = -14*f + 5. What is l*d(j) + 4*t(j)?\nAnswer: -j - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let g(c) = -13*c**2 + c - 15. Let h(f) = 37*f**2 - 2*f + 44. Determine 17*g(p) + 6*h(p).\nAnswer: p**2 + 5*p + 9","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0.1 in -1\/4, 5\/6, 2\/3?\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence itx when three letters picked without replacement from ttftfuitftiiiftxiuti?\nAnswer: 7\/1140","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -4\/7? (a) 0.2 (b) -4 (c) -2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 2 - 8*12\/48 - 0.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (o**(-1))**12*(o\/o**(-3))**0 assuming o is positive.\nAnswer: o**(-12)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in 207, 13, 3?\nAnswer: 13","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is 580457071 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 3 + -1. Suppose -28 = -2*m - 2*u - 2*u, 0 = b*m + 5*u - 30. What is the remainder when 38 is divided by m?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1240430033 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*g + k - 17 = 0, 2*g - k - 41 = -48 for g.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let h(r) = -2*r**2. Let b(g) be the third derivative of -g**5\/10 + 3*g**2. Calculate b(h(k)).\nAnswer: -24*k**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*k + 8*k - 32 = 0. Let s = k - 4. What is the remainder when 58 is divided by s?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 5, 506, 2, 0, 1\/9 in ascending order.\nAnswer: 0, 1\/9, 2, 5, 506","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2008*v - 2006*v - 6 = 0. Factor -3\/8*g**5 - 15\/8*g**4 + 0 + 3*g - 9\/4*g**v + 3\/2*g**2.\nAnswer: -3*g*(g - 1)*(g + 2)**3\/8","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3 = 3*u - 3*i, -2*u + 13 = -3*u + 4*i. Let b(j) = -j**3 + 3*j**2 + 2*j - 3. Let g be b(u). What are the prime factors of ((-27)\/12)\/(g\/(-16))?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (14\/28)\/(5*1\/(-4)).\nAnswer: -2\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 220501666 and 7?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth root of 958993 to the nearest integer?\nAnswer: 16","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 2 - 7\/2 - (-125)\/70?\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let x be 9 + -4 - (1 - -643). Let b = -431 - x. Let i = -123 + b. Is i a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 15 + -44\/3. Let a = 1 - 7. Let x be ((-20)\/(-270))\/(2\/a). What is the smallest value in -0.5, x, j?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -8, -5, -10 in descending order.\nAnswer: -5, -8, -10","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 243598 is divided by 1433?\nAnswer: 1421","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 233186?\nAnswer: 2, 116593","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 159199?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let m(b) be the second derivative of b**5\/20 + b**4\/24 - b**2 + 2*b. Let v(a) be the first derivative of m(a). What is v(1)?\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Add 39 and -61773.\nAnswer: -61734","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let q(t) = t**2 - 2*t - 5. Let v be q(-4). Let r = -15 + v. Suppose -r*b + 10 = b. Solve -g + 4*h + 19 = h, 2*h + b = -2*g for g.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y be 25 + 2\/4*4. Suppose 0 = -2*a + 5*a - y. What is the units digit of a?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 5591 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (-1106)\/(-7)*1\/2. Let m = h + -159\/2. Let z = -8.77 + 9. Which is greater: z or m?\nAnswer: z","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 1579*m - 2633*m + 1959*m.\nAnswer: 905*m","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (-2664)\/(-60)*(-2320)\/24. What is the common denominator of ((-3)\/(-80))\/(29\/w) and (-41)\/(-42) + (-2)\/(-3)?\nAnswer: 140","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 370072?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 39 minutes before 12:34 AM?\nAnswer: 11:55 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (-17 - -18) + 1 + 2. Suppose 13 = -i*k + 25. Is 2 a factor of k?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (1*((sqrt(75) - (sqrt(75)*-2 - sqrt(75))) + sqrt(75)) + -1)**2.\nAnswer: -50*sqrt(3) + 1876","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is 2128 a multiple of 2?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let h(w) = w**3 + 7*w**2 - 16*w - 64. Let d be h(-8). Solve d = 2*x - 5*x + 12 for x.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*u - 1 = o, 40*u = 5*o - 1707 + 1697 for o.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is -312 - -133?\nAnswer: -135","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let o(a) = -4*a**2 - a + 10. Let d(n) = -n**2 - n + 3. Calculate 5*d(r) - o(r).\nAnswer: -r**2 - 4*r + 5","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: 303201201 (base 4) to base 11\nAnswer: 134616","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 5\/6 of a millennium in months?\nAnswer: 10000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -10104\/649 or -16?\nAnswer: -10104\/649","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((-4*u**4 + 4*u**4 - 2*u**4)*(-u - 2*u + 2*u) + 4*u**5 - 2*u**5 - u**5 + 3*u**5 - 4*u**2 + 4*u**2)*(4 - 3 + 1)*(4 - 2 - 3).\nAnswer: -12*u**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is h in h**2\/3 + 847850*h\/3 + 847849\/3 = 0?\nAnswer: -847849, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Convert 1.232083km to nanometers.\nAnswer: 1232083000000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let k(r) = -r**3 + 3*r**2 + r + 1. Let o be k(3). Suppose 0*v - 12 = -o*v. Suppose 36 = n + 2*j, -v*j = 3*n - 102 - 12. What is the tens digit of n?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 313.\nAnswer: 313","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 5*((sqrt(252) - (sqrt(252) + -1 - sqrt(252)) - sqrt(252))**2 + sqrt(252) - sqrt(252))*2 - ((1 + sqrt(252) + -1*sqrt(252))**2 + 4).\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -221190, -884745, -1990662, -3538941, -5529582, -7962585, -10837950?\nAnswer: -14155677","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 2.637 + -1.637. Let s = 8 - 14. Let z be (0 - -1)\/((-7)\/s). Which is the nearest to h? (a) z (b) 3\/7 (c) 2\/9\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 12 + 13. Let g = h - -27. Suppose -15*f = -16*f + g. Is 21 a factor of f?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 263*f**2 - 263*f**2 - 6*f**3 + (0*f**3 + f**3 - 2*f**3)*(1 + 3 - 3).\nAnswer: -7*f**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -4894, -4908, -4922, -4936?\nAnswer: -4950","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is -1 bigger than 1405\/8376?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: How many centimeters are there in 0.7559547nm?\nAnswer: 0.00000007559547","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: 513921+41.416\nAnswer: 513962.416","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Factor p**3\/3 - 32923*p**2\/3 + 277715011*p\/3 - 36718241251.\nAnswer: (p - 16253)**2*(p - 417)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let o(y) = -3*y**3 - 5*y**2 + 3*y - 10. Let d be o(5). Let v = d + 597. What is the least common multiple of 12 and v?\nAnswer: 204","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 439 minutes after 4:27 AM?\nAnswer: 11:46 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let w be -1 + 4 - (-2 + 1). Solve -5*n = -w*l + 20, 20 = -4*n + 8*l - 4*l for n.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(r) be the first derivative of 4*r - 1 + 3\/2*r**2 - 1\/3*r**3. Suppose -w + 4*q - 2*q = 6, 2*w + q - 13 = 0. Give s(w).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*i + q - 124189 = 0, -3339*q + 3336*q = -i + 41393. Is 131 a factor of i?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 35539 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*h - 3*h + 20. Suppose 4*x = 8*x - 6*x. Solve x = -h*j + 9 - 29 for j.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8 - 6 = -2*g. Suppose -j - 4*c = -g*c - 7, 3*j = -4*c + 8. Solve -j*y - 5 = 15 for y.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is -175 + -2?\nAnswer: -177","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of 953, 1057, 1161, 1265, 1369, 1473?\n\"Answer: 104*q + 849","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is 3 + 2432?\nAnswer: 2440","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: 7 (base 9) to base 5\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let t be ((-1)\/2)\/(3\/(-6)). Sort 2, t, -1 in increasing order.\nAnswer: -1, t, 2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -q - 4 = -3*v - 44, -q + 36 = v. Let s = q - 38. Let t(y) be the second derivative of y**4\/12 + y**2\/2 + 2*y. Give t(s).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ninth root of 18395 to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-2)\/(-5))\/((-1)\/(-60))*(-3216)\/4288.\nAnswer: -18","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let p(c) = -2*c**2 + c. Let m(y) = -11*y**2 + 11*y - 6. Let f(a) = -m(a) + 5*p(a). What is f(7)?\nAnswer: 13","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d be ((-51)\/6)\/(7\/(-14)). What is the greatest common factor of d and 119?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 8883000 rounded to the nearest 1000000?\nAnswer: 9000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Put -75.6, 5, -7564 in decreasing order.\nAnswer: 5, -75.6, -7564","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: How many nanometers are there in 8591.16cm?\nAnswer: 85911600000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -t - 3*y + 0*y = -48, 15 = 3*y. Solve -g = 5*r - 2*g - 15, -t = -4*r + 5*g for r.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(u) = 3*u**2 + 28*u - 17. What is the units digit of a(-12)?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 533 - 533.01. What is the closest to 3 in x, -2\/5, -0.3, 2\/13?\nAnswer: 2\/13","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -36*k - 36*k = -93*k - 315. Let w(a) = a**3 + 15*a**2 - 30. What is w(k)?\nAnswer: -30","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -1941*z = -1935*z - 22206. Suppose -13*f + z = -9819. What is the tens digit of f?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(s) = -5*s - 4. Let v(m) = -19*m - 15. Calculate -6*v(r) + 22*z(r).\nAnswer: 4*r + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let n(y) = -33*y**2 - 4*y - 9. Let j(v) = -97*v**2 - 14*v - 28. Give 2*j(h) - 7*n(h).\nAnswer: 37*h**2 + 7","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from lqugggqglluldldvl. What is prob of sequence qu?\nAnswer: 1\/68","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 3476760 divided by 28.\nAnswer: 124170","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -3*x - 2*x - 81225*x**2 + 5*x + 81226*x**2.\nAnswer: x**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Sort 11, -23, -2 in descending order.\nAnswer: 11, -2, -23","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -0.38 - -4.68. Let v = d - 23.3. Let q = v + 15. Which is the smallest value? (a) -5 (b) -1 (c) q\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (i\/((i*i**(-1\/10))\/i)*i*i**10)\/((i*i**(-11))\/i**(11\/2)) assuming i is positive.\nAnswer: i**(138\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 51 + -51.27. Let w = c + 0.07. What is the closest to 2 in w, 1, 2\/11?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is -240042231 + -10?\nAnswer: -240042241","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 0 - 2*i**3 + 0 + 3*i**3 + 64*i**2 - 2*i to z*i + y*i**2 + m*i**3 + b and give m.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -101\/156 and -63\/8138.\nAnswer: 48828","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 42843774 divided by 11.\nAnswer: 42843774\/11","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {f: 1, j: 2, a: 1, y: 2}. Give prob of picking 2 j.\nAnswer: 1\/15","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 1676548?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -2.2 and -3542.1965?\nAnswer: 7792.8323","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let u(v) be the second derivative of v**4\/12 + v**3\/6 - v**2\/2 + 89*v. Determine u(-2).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 23*n**2 + 9*n - 39*n**2 + 2 + 13*n**2 as q + w*n + z*n**2 and give q.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1224\/(-68)*((-40)\/36)\/(-5).\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.000209383 to 5 decimal places.\nAnswer: -0.00021","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 427168 is divided by 1928?\nAnswer: 1080","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((t**36*t*t*t)**50)**(-34) assuming t is positive.\nAnswer: t**(-66300)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let j(r) = 212*r - 85. Is j(9) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -7 + 5\/(-720)*-1389 and 55\/8?\nAnswer: 48","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 5 + 0 - (405 + -418 - (-2 + -19))?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Round 484600 to the nearest 10000.\nAnswer: 480000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: -1294 (base 15) to base 2\nAnswer: -111101111100","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -2*a**4 + 119*a**3 + 9636*a - 1555327 with respect to a.\nAnswer: -8*a**3 + 357*a**2 + 9636","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Express (-4*a**2 + 2*a**2 + 0*a**2)*(a + a + a) + 9*a**3 - 28*a**3 - 19*a**3 as b*a**3 + f + t*a + k*a**2 and give b.\nAnswer: -44","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 283 minutes before 12:38 PM?\nAnswer: 7:55 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 181 minutes before 6:57 AM?\nAnswer: 3:56 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve 971*y + z + 9 = 967*y, 5*z - 35 = -4*y for y.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 8382551, 8382558, 8382565?\nAnswer: 8382572","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 5\/2 - 3. Suppose -25*l - 6 = -31*l. Which is the nearest to l? (a) h (b) 1\/3 (c) 0.1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(v) = 55*v**3 - 13*v**2 - 6*v - 5. Let a(p) = p**3 + p**2 + p. Determine -6*a(q) - c(q).\nAnswer: -61*q**3 + 7*q**2 + 5","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8*i - 12600 = 2*i. What is i rounded to the nearest 100?\nAnswer: 2100","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (-1)\/((-1)\/(-3))*368\/(-368). Put 1\/2, -1, k, -0.6 in increasing order.\nAnswer: -1, -0.6, 1\/2, k","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (1 - (-29 + 1))*1. Suppose 3*r - 675 = -3*m, 2*r = 43*m - 46*m + 682. What is the greatest common factor of m and v?\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 26\/243 and 6\/11?\nAnswer: 2673","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let q(d) = d**3 - 6*d**2 - d + 1. Give q(6).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 6464 is divided by 282.\nAnswer: 260","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Convert 3.649748l to millilitres.\nAnswer: 3649.748","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let j be 160\/50*(-4)\/((-4)\/(-5)). Let v(q) = q**3 + 18*q**2 + 32*q + 2. Let n be v(j). Find the second derivative of -15*w**n + 2*w - 11*w - 6*w - 4*w wrt w.\nAnswer: -30","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1891094 is divided by 1276.\nAnswer: 62","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (-3)\/(3\/2) - (-108)\/48. Which is smaller: i or -6?\nAnswer: -6","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 2378 to the power of 1\/3, to the nearest integer?\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 4 b when four letters picked without replacement from bbwbbwbwbb?\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -5.49 + 0.23.\nAnswer: -5.26","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let w be 6*8\/22 - (-350)\/(-1925). Is 3 a factor of (-4 - (-12780)\/50) + w\/5?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 8 in -1\/2, 8, -2?\nAnswer: 8","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 s and 1 o when two letters picked without replacement from {s: 1, o: 17}?\nAnswer: 1\/9","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 302103117*l*q**2 - 780369423*q**2 wrt l?\nAnswer: 302103117*q**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let p(s) = -2*s**2 + 26*s - 6. Let q(a) = -2*a + 1. Determine -p(c) - 8*q(c).\nAnswer: 2*c**2 - 10*c - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {u: 3, r: 5}. What is prob of sequence ru?\nAnswer: 15\/56","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is 11594677 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Does 97 divide 148665862?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((j**(-3\/19)\/j)\/(j\/j**(3\/8)))**(1\/8) assuming j is positive.\nAnswer: j**(-271\/1216)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Put -9\/553, -4, 924 in increasing order.\nAnswer: -4, -9\/553, 924","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -51\/80 and -41\/10860.\nAnswer: 43440","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -743789*d**2 + 497*d - 51275468 wrt d?\nAnswer: -1487578*d + 497","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (c**(-8)*(c\/(c*c*c**6))\/c)\/(c**(8\/5)*c**(-4\/13)) assuming c is positive.\nAnswer: c**(-1124\/65)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Divide -458205 by 91641.\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.00155780858 to 5 decimal places.\nAnswer: 0.00156","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Express 10*v**2 + 10*v - 10*v + (-2*v + v + 3*v)*(-v + 3*v + 0*v) in the form h + t*v + c*v**2 and give c.\nAnswer: 14","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 535185144 to the nearest integer?\nAnswer: 812","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 2\/(6*9\/6).\nAnswer: 2\/9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence qqqq when four letters picked without replacement from {d: 9, q: 5}.\nAnswer: 5\/1001","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve 93*t - 591 = 153 for t.\nAnswer: 8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let v be 80\/30*(-12)\/(-8). Suppose 4*l + v*p + 2 = 58, 2*l = 3*p + 13. Solve 0 = 3*b + 26 - l for b.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 697 minutes before 1:57 AM?\nAnswer: 2:20 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1884546.\nAnswer: 2, 3, 11633","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 16 - -16 - (1 - 13 - -15)?\nAnswer: 29","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -4 + 3.7. Let p = -37.1 - -22.2. Let j = 15 + p. What is the closest to j in i, 5, 1\/4?\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 14519759 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3499*d - 95 = -3504*d - 6*w, 4*w - 100 = 4*d for d.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((f**(-1\/3)\/f)**40*f**2*f\/(f*f**(1\/2)*f))\/((f**(2\/3))**(-17\/5)*(f*f**(-1\/3))\/f*f*f\/(f**(-5)*f*f)) assuming f is positive.\nAnswer: f**(-1657\/30)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-36 - h + 168 + 57)*(3*h**2 + 2*h - 2*h).\nAnswer: -3*h**3 + 567*h**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Expand -6594*a + 6594*a - 30 - 2*a**2 + (-2 - a**2 + 2)*(1 + 0 - 2).\nAnswer: -a**2 - 30","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 50407.024597 + -50407. Let t = b + -0.0245. What is t rounded to four dps?\nAnswer: 0.0001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in -59, 1\/5, -5?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let r(k) = 3*k**3 - 8*k**2 - 3*k - 1. Let w = -60 + 66. Is r(w) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(h) = 7*h**3 + 67*h**2 + 29*h + 68. Calculate p(-9).\nAnswer: 131","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let r(k) be the first derivative of 3*k**4\/2 - 4*k**3\/3 - 2*k**2 - 24. Let t(f) = 9*f - f**3 + 3*f**3 + f**2 - 15*f**3 + 8*f**2. Determine -9*r(p) - 4*t(p).\nAnswer: -2*p**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (2\/(8\/10))\/(165\/(-2046)).\nAnswer: -31","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(w) = -w**4 + w**3 - w**2 - 1. Let q(j) = -3*j**4 + 13*j**3 - 4*j**2 - 4. Let s(a) = -3*q(a) + 12*y(a). Determine b, given that s(b) = 0.\nAnswer: -9, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(a) = -9*a**2 - 343*a - 9. Let n(c) = 5*c**2 + 170*c + 5. What is 6*j(g) + 11*n(g)?\nAnswer: g**2 - 188*g + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -21 - -29. Suppose y*h = 3*h - 5*l + 15, 5*h + l - 27 = 0. Is 6 a factor of h?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(o) be the first derivative of -o**6\/360 - o**5\/180 + o**4\/72 + o**3\/18 - 17*o**2\/2 + 8. Let h(r) be the second derivative of b(r). What is z in h(z) = 0?\nAnswer: -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*g**2\/9 - 4312*g\/9 + 119168\/9.\nAnswer: 2*(g - 2128)*(g - 28)\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 23461941?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -48 - -84 - (-2 - -64).\nAnswer: -26","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence bbbb when four letters picked without replacement from {b: 11, c: 9}.\nAnswer: 22\/323","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -70*p + 37*p - 231 for p.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 98 and 1064?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -10.07 + 13.07. Which is the smallest value? (a) -8 (b) 4 (c) h\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -2944, -7995, -13046?\nAnswer: -18097","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 22 and 274.\nAnswer: 3014","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of 2679330, 2680019, 2680708?\n\"Answer: 689*v + 2678641","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2256269805.\nAnswer: 3, 5, 37, 101, 13417","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is 1 + 1174 + 2 + -9 + 3 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2239066926?\nAnswer: 2, 3, 124392607","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let f(a) = -a + 4. Suppose 0 = -5*c + 27 - 7. Let n be f(c). Suppose -l + n*o - 13 = -4*o, 6 = -2*l - 2*o. What is the third smallest value in 5, -2\/17, l?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(i) = -6*i + 4. Let m(o) = -1. Suppose d = 5*l + 39 - 14, 15 = -3*l - 4*d. Let x(a) = l*m(a) - v(a). Suppose -3 = 5*j - 2*j. Calculate x(j).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -0.0431 and -9.\nAnswer: 0.3879","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve -g + 3*n = 4*n - 18, -112*n = -5*g - 102*n + 90 for g.\nAnswer: 18","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(32) + 3 + -4.\nAnswer: -1 + 4*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 3430411 to the nearest integer?\nAnswer: 151","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let n be ((-40)\/(-35))\/(2\/14). Let s = -38 + 43. Solve 0 = -a - 5*h + 2, n = 4*a + s*h - 2*h for a.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 20837489?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 22 - 16. Suppose 16*q - 1652 = 60. What is the remainder when q is divided by (-4)\/d - (-68)\/3?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (41*s - 72*s - 61*s)*(2*s - 2*s**2 - 2*s + (2 - 5 + 1)*(-2 - 2*s**2 + 2)).\nAnswer: -184*s**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 12.1 - 1.3. Let m = y + -11. Which is the smallest value? (a) -3 (b) m (c) -2\/5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 10191312 divided by -1522.\nAnswer: -6696","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {x: 4, i: 7}. Give prob of picking 1 i and 3 x.\nAnswer: 14\/165","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 204\/16*1*56020\/(-8403).\nAnswer: -85","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 273 is divided by 4.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: -b25 (base 14) to base 3\nAnswer: -10000002","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 141*k = -103 + 529 + 279 for k.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is 2019 not equal to -2?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 193*s**2 + 194*s**2 + 199*s**2 + 187*s**2 - 745*s**2.\nAnswer: 28*s**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let s(x) be the second derivative of -11*x**3\/6 - 9*x**2\/2 - 39*x + 4. Let o(c) = 5*c + 4. Give -5*o(b) - 2*s(b).\nAnswer: -3*b - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let m(l) = 71*l**2 - 9*l + 13. What is the units digit of m(4)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(k) = 2*k**3 - 7*k**2 - 3*k + 1241. What are the prime factors of s(0)?\nAnswer: 17, 73","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(y) be the second derivative of 1\/6*y**3 - 1\/2*y**2 + 0 + 24*y. Let a(r) = r**3 + 2*r**2 - r + 2. Let b be a(-3). What is v(b)?\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -8952 + 17903\/2. Which is the nearest to 0? (a) 0.12 (b) -4 (c) x\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(m) be the second derivative of 3*m**5\/4 + 95*m**4\/6 + 775*m**3\/6 + 500*m**2 - m - 77. Factor b(q).\nAnswer: 5*(q + 5)**2*(3*q + 8)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 169 a factor of 997687?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 1597?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -1462\/9 - -163. Let x = 134 - 133. Is d greater than or equal to x?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when (-1446)\/(-12) + -5 + 44\/8 is divided by 65?\nAnswer: 56","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find v such that v**3 + 69*v**2 + 1560*v + 11600 = 0.\nAnswer: -29, -20","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 101 is divided by 36 - (-1 - (-4 + -7)).\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(o) = o**2 + 3*o + 19. Calculate the remainder when h(-9) is divided by 38.\nAnswer: 35","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 28092356 and 2?\nAnswer: 28092356","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is 13455776 a multiple of 32?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_test"},"subset":"dm_maths"} +{"text":"Question: Simplify (n*n**(-22)*n*n*n**22)\/((n*n*n*n**(-10))\/n)**(2\/35) assuming n is positive.\nAnswer: n**(121\/35)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let b(a) = 2*a**2 + 99*a - 310. Let q be b(3). Sort -28, -5, q in descending order.\nAnswer: q, -5, -28","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d be -2*(-4)\/2*(-3)\/(-4). Solve 0 = 8*h - d*h + 10 for h.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 167786 is divided by 164?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is 30 - 3?\nAnswer: 22","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let z(q) = q**2 + 4*q - 2. Let c be z(-5). Factor w - 8*w**2 + 3*w - 3*w**c + 7*w**3.\nAnswer: 4*w*(w - 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -11*n + b - 21 = -7*n, 3*n + 17 = 2*b for n.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 6835 is divided by (-1)\/(-7 + -5)*6*258?\nAnswer: 127","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-k**2 + 2*k**2 + k**2)*(-2*k + 2*k - 2*k) + 6*k**3 - k**2 + 542446 + 28*k - 18*k - 542429 to the form q*k**3 + y + m*k + g*k**2 and give y.\nAnswer: 17","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 45891?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 295 and 1909535?\nAnswer: 295","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (n*n\/(n**(-2\/7)*n))**(-9)*(n**0)**(1\/17)*(((n\/n**0)\/n)**(-40))**4 assuming n is positive.\nAnswer: n**(-81\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is 29457190 a multiple of 70?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -45 or -36?\nAnswer: -45","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 69, 135, 201, 267?\nAnswer: 333","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 1426\/25 or 57?\nAnswer: 57","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 113767?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4 = -3*z + 5. Suppose -7*g + z*g = 0. Solve -w = -4*d - 5, w + g*w - 3*d = 3 for w.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((n**0)**38)**(-9\/5) assuming n is positive.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Round -1184000 to the nearest ten thousand.\nAnswer: -1180000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -26*g - 3*g - 29 = 0. Let r be 2\/6*(0 + 13 + g). Solve -8 = -r*o, -5 - 1 = l - 3*o for l.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-8)\/48*3\/5.\nAnswer: -1\/10","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(a) = 4281*a**2. Let x(w) = -2*w. Give n(x(c)).\nAnswer: 17124*c**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 663088485?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*n = -2*f + 8 - 0, 14*n - 22 = 16*n - 4*f for n.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -11*d**3 + 27*d**2 + 378*d?\nAnswer: -66*d + 54","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let w(d) = -64*d - 129. Determine w(-2).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Round 1547.7795 to the nearest one thousand.\nAnswer: 2000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is -4 - -2002b5b?\nAnswer: 2002b57","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 2431 to the nearest integer?\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*f - 13 - 39. Let g = 1 + f. What is the remainder when g is divided by 5?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 361\/21 - 1345\/42. What is the second smallest value in s, 0.4, 3?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 6459929489 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 13*a - a = -444. Let w = a - -50. Let z = 6.1 - 1.1. Put w, z, -5 in ascending order.\nAnswer: -5, z, w","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(m) = m. Let u be t(6). Let h = 381 + -376. Suppose h*b = u*b - 3. Calculate the greatest common factor of 6 and b.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -64, -73, -60, -1, 128, 351, 692, 1175?\nAnswer: 1824","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -66*s = -706 - 878. What is the remainder when 242 is divided by s?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -691100 rounded to the nearest ten thousand?\nAnswer: -690000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of (-6 - -9) + 537 + 4?\nAnswer: 2, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2 + 18 = 4*z. Suppose -4 = -u - r, z*r + 0*r = -2*u + 14. What is the units digit of u?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 7\/12 and 44\/2037.\nAnswer: 8148","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let o(y) = 150982 + 150982 - 301964 - 20*y**2. Let i(j) = -232*j - 2. Calculate i(o(n)).\nAnswer: 4640*n**2 - 2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of 6350, 12714, 19068, 25406, 31722, 38010?\n\"Answer: -d**3 + d**2 + 6368*d - 18","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let r(n) = 22*n - 5. Determine r(-1).\nAnswer: -27","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 30788 is divided by 2681.\nAnswer: 1297","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (v*v\/(v**(-3)\/v))**(-1\/20)*v**(1\/4)\/v*(v*v**(-1)*v*v)\/v assuming v is positive.\nAnswer: v**(-1\/20)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Sort -10, -15, 27, -0.5, 0.1 in descending order.\nAnswer: 27, 0.1, -0.5, -10, -15","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -t = 4*t - 10. Let v be (-3)\/9*5\/t. Suppose 2*o + 3*g - 8 = 5*g, -5*g - 25 = 0. Is v smaller than o?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(o) = o**3 - 3*o. Suppose 3*k + 30 = 2*p - 2, -5*p + 2*k = -102. Suppose 5*m = p + 3. Let r(s) = -s**3 + 2*s. Let a = 12 - 5. What is a*r(b) + m*g(b)?\nAnswer: -2*b**3 - b","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 238\/51*18297\/(-4494)?\nAnswer: -19","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: 6 + (7 - 12) + -5 + -4\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3*t - 2*t + 6*t)*(4 - 4 + 2) - 2 + t + 2 + (4 - 6 - 2)*(0 + 2*t + 0) + 2*t + t + 0*t.\nAnswer: -2*t","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ptz when three letters picked without replacement from {t: 4, z: 2, p: 3, i: 1, g: 4}?\nAnswer: 1\/91","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -2 + (-3*((sqrt(102) - (sqrt(102) + sqrt(102)*-2)*-6) + sqrt(102)))\/(sqrt(24) + (sqrt(1944) - (sqrt(1944) - 2*sqrt(1944)))).\nAnswer: -2 + 6*sqrt(17)\/19","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -4435.29 + 4474. What is d rounded to the nearest 10?\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence mm when two letters picked without replacement from {m: 3, c: 12}.\nAnswer: 1\/35","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 59 plus -5498?\nAnswer: -5439","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*q + 5*v = 7*q - 155, -5*q = v - 305. Let f be -13 + (4 - 4) + 3. Let t be 96\/q - 4\/f. Solve -2*w - u = -w, -t*w = 4*u for w.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -1 + -3992?\nAnswer: -3993","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let n(c) be the first derivative of -c**4\/4 + 2*c**3 + c**2\/2 - 27*c + 59. Let a be n(5). Solve 0*j = j - 3*p + 5, 2*p - 15 = a*j for j.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of -15317983, -30635995, -45954007, -61272019, -76590031, -91908043?\n\"Answer: -15318012*f + 29","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of (280\/(-48) - -3)\/9 and 65\/99.\nAnswer: 594","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 1.81 - 1.91. Let p = 1 + -6. Let b = -5 - p. Which is smaller: b or t?\nAnswer: t","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence xx when two letters picked without replacement from {m: 7, n: 1, x: 2}.\nAnswer: 1\/45","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Determine g, given that 3*g**4\/7 + 570*g**3\/7 - 77796*g**2\/7 + 2256630*g\/7 - 19092207\/7 = 0.\nAnswer: -289, 19, 61","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 502.5 + -503. Let q(s) = -s - 4. Let l be q(-2). Let u be 4\/(-15) - l\/(-5). What is the smallest value in -0.2, u, p?\nAnswer: u","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -39.2 - -121.2. Let s = r + -83. Let k = 121\/4 + -30. Which is the third smallest value? (a) 4 (b) k (c) s (d) -5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -21201121 (base 5) in base 4?\nAnswer: -223201232","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let h(f) = 5*f**3 - 1 + 2 + 2*f + 7*f**2 - 8*f**2. Is h(6) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -19190*x**3 + 12*x**2 - x - 16*x**2 + 4*x**2 - 2*x + 19180*x**3.\nAnswer: -10*x**3 - 3*x","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: (17 + -9 + 3)\/((-1)\/1)\nAnswer: -11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(n) = 3*n - 28. Let l be i(14). Let g(y) = -y**3 - 10*y**2 + 11*y - 8. Let r be g(-11). Let u = l + r. Solve -4 = 2*q - u*q for q.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2 = -2*p + 12, -s + 3*p = 1226. What is the units digit of (s\/(-14))\/(9\/54)?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -b + 3*b - 2*i = -16, 3*b + 20 = 2*i. Suppose -1 = -3*p - 2*u, 6*p - 2*p + 3*u - 2 = 0. Let l be (((-7)\/(-2))\/p)\/1. Is l at most as big as b?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(b) = b**3 - 5*b**2 - 3. Let o be (1 - -6) + (2 + 0)\/(-1). What is p(o)?\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -82, -170, -258?\nAnswer: -346","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 3107382648?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*x + 5*q = -5, 9*x = 12*x - q - 35. Let r be (1\/3)\/(x\/90). Solve 2*w = 2*f - 4 + 2, 0 = r*w + 5*f - 37 for w.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 13668 - 3860. Is 25 a factor of d?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*a - 19 = -l, -14*l + 16*l - 13 = -5*a for l.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 29701.341ns in minutes?\nAnswer: 0.00000049502235","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (3*(sqrt(539) + (2*sqrt(539) - sqrt(539)) - sqrt(539) - sqrt(539)) + -4 - -5*(-1*sqrt(99) - (3 + sqrt(176))))**2.\nAnswer: 1330*sqrt(11) + 13836","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let t be ((-4)\/10)\/(0 - 5\/50). Which is the second smallest value? (a) t (b) -2\/9 (c) 1\/3 (d) 0.1\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 125*y = -614*y + 24387 for y.\nAnswer: 33","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -1 - -7. Suppose -2*g = n + 4 - r, g = -5*n + 1. Suppose 4*j + n*t + 5*t = 51, -t - 24 = -3*j. Is 5 a factor of j?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from nvlvnlnl. Give prob of picking 2 v and 1 n.\nAnswer: 3\/56","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: 12296+-196486687\nAnswer: -196474391","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 6880 to the power of 1\/3, to the nearest integer?\nAnswer: 19","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let h(b) = 5*b + 3. Let d(k) = 6*k + 4. Determine -4*d(j) + 6*h(j).\nAnswer: 6*j + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Determine x so that -15*x**5\/7 + 611*x**4\/7 - 6406*x**3\/7 + 23628*x**2\/7 - 22392*x\/7 - 7776\/7 = 0.\nAnswer: -4\/15, 2, 6, 27","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let a be 4556\/28 + 16\/56. Let f = a + -159. Calculate the greatest common factor of 8 and f.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*q = -q. Let d = 160\/197 + -55205\/91014. Let y = d + -3\/77. Which is smaller: y or q?\nAnswer: q","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:56 PM and 11:55 PM?\nAnswer: 539","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (l**(-23)*l)**(4\/7)*((l*(l\/(l**24\/l))\/l)\/l*l)**5 assuming l is positive.\nAnswer: l**(-858\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -u = -2*d - 3*u + 22, d + 3*u - 17 = 0. What is the units digit of d?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1 + -63 - (-7906 - -7851)?\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1884901?\nAnswer: 1884901","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Total of -169651976 and -5692.\nAnswer: -169657668","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-1474)\/132*77\/((-462)\/(-36)).\nAnswer: -67","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let r(f) = 2*f**2 - 44*f - 42. Let d be r(23). Solve d*q = -2*b - 0*q - 4, -2*b - 2 = 3*q for b.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*u + 365 = 22*u + 101 for u.\nAnswer: 11","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 47918116.\nAnswer: 2, 127, 94327","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -496*d**2 - 637*d**2 + 131*d**2 to i + l*d**2 + w*d and give l.\nAnswer: -1002","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence hhhh when four letters picked without replacement from {h: 7}.\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is 8275874489 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -40*k**3 + 36*k**3 - 1 + 1.\nAnswer: -4*k**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth biggest value? (a) 1.8 (b) -2\/343 (c) -0.03 (d) -21 (e) 0.1\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is 29 a factor of 2030?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2\/21, 1, 93 in descending order.\nAnswer: 93, 1, 2\/21","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 4903168128 to the power of 1\/2, to the nearest integer?\nAnswer: 70023","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 31\/171 and -73\/76.\nAnswer: 684","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence dzd when three letters picked without replacement from jyvdvjvdkdjvzjd?\nAnswer: 2\/455","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (0 - 1) + 11 - 2. Suppose -2*i + 0 = -a + 4, -2*i = -2*a + f. Let n(k) = 3*k + i + 6 - 9*k. Let j(v) = -5*v + 5. Determine 4*j(t) - 3*n(t).\nAnswer: -2*t + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is 221 + 2?\nAnswer: 223","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 3419356?\nAnswer: 2, 619, 1381","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -6407*u**3 - 1548 wrt u?\nAnswer: -19221*u**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let u(q) = -4*q + 44. Determine u(19).\nAnswer: -32","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let z be ((4 - -1) + 0 + -4)*-2. Put 2, 4, -5, z in ascending order.\nAnswer: -5, z, 2, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: 6 - (8 - 13 - -16)\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 39216 to the nearest integer?\nAnswer: 34","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Does 133 divide 587697?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 110, 120, 132, 146?\nAnswer: 162","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (-26)\/(-8) - (-150)\/(-120). What is the third derivative of -z*s**2 - 7*s**6 + 7 - 6 + 17 wrt s?\nAnswer: -840*s**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 j and 1 g when two letters picked without replacement from {l: 1, j: 1, i: 3, g: 5, y: 2, e: 1}?\nAnswer: 5\/78","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is 32379522 a multiple of 759?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let z(g) be the first derivative of -g**4\/4 - 2*g**3\/3 - g**2\/2 - g + 1. Calculate the remainder when z(-3) is divided by ((-30)\/5)\/((-12)\/8).\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine m so that 5*m**5 - 745*m**4 + 7590*m**3 + 820*m**2 - 112040*m - 154560 = 0.\nAnswer: -2, 7, 8, 138","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 7720 and 469265.\nAnswer: 724545160","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is 2047952161 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -14\/3 and 19\/139?\nAnswer: 417","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -230 - -420. Suppose -4*d = i - 1618. Let l = 1498 - d. Is l prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is 1 + 2002001011111?\nAnswer: 2002001011112","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -1402 + 830. Is 8 a factor of (j\/(-39))\/(2\/3)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3 - 1 + 2)*(-3 + 6 + 0)*(-2 - 2 + 3 + (3 - 4 + 2)*(-3 + 1 + 3) - 2 + 9 - 4)*(2*p + 22*p - 3*p).\nAnswer: -378*p","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 304 minutes after 5:25 AM?\nAnswer: 10:29 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is -154 times -0.4?\nAnswer: 61.6","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Product of -3.44861 and -4.\nAnswer: 13.79444","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0? (a) -1\/3 (b) 2 (c) -4 (d) 0.1162\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 195 and 45705.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 28162030 is divided by 290330?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let w be 3*(-2)\/(-4)*2. Let m = w - 5. Let d = 756 - 747. Sort m, 0, d in descending order.\nAnswer: d, 0, m","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(8) - (sqrt(8) - (sqrt(56)\/sqrt(175) + sqrt(8))))\/(sqrt(324) + 2*sqrt(324)))**2.\nAnswer: 8\/2025","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0*l**2 - 3*l**2 + 2*l**2 + (-2*l - 2*l + 6*l)*(l - 4*l + 2*l))*(2*l + 5*l**2 - 2*l + (2*l**2 - 2 + 2)*(-3 + 2 - 1)).\nAnswer: -3*l**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -4.99 + -0.01. Let y be (-1 + (-24)\/18)*-3. Which is the closest to y? (a) o (b) 0.2 (c) -1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(l) = 4*l**2. Let h(v) be the second derivative of v**3\/2 - 7*v**2\/2 - 111*v. What is h(a(c))?\nAnswer: 12*c**2 - 7","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {k: 10, f: 4}. Give prob of picking 1 f and 1 k.\nAnswer: 40\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let s(o) = 3*o**2 - 6*o - 6. Let b be s(8). Let v = b + -39. Suppose 5*i + v = n + 343, 0 = -4*i - n + 188. Calculate the highest common factor of i and 32.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -364 - -96. Let u = z - -274. Which is the smallest value? (a) 2 (b) 2\/3 (c) u\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 0 - -1. Let w = m + -6. Let q(a) = 14*a**3 - 4*a + 4. Let z(c) = -3*c**3 - c**2 + c. Let y(t) = q(t) + 5*z(t). What is y(w)?\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the eighth root of 3985 to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -13 + 22. Suppose 3*u = 6 + f. Suppose g - 2 - 15 = -3*w, -4*w + 10 = -u*g. What are the prime factors of g?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(b) = -53*b + 8856. Determine x(167).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 533106 and 1008?\nAnswer: 126","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is -107 divided by 239?\nAnswer: -107\/239","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 2442116762?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -0.058 + -0.042. Let r = -16.3 - -17. Let k = r - 2.7. What is the third smallest value in -4, k, g?\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -1012232 (base 4) in base 5?\nAnswer: -121101","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*w - 2*u + u + 14, 4*w + 3 = 3*u. Suppose 4*g + 25 = 5. Let o = -0.19977 + 0.19977. What is the nearest to o in 2\/9, w, g?\nAnswer: 2\/9","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (182269*f - 5523 + 182274*f + 182266*f - 546800*f)*(5*f**2 - 4*f**2 + f**2) to b*f**3 + w*f**2 + x*f + t and give b.\nAnswer: 18","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is -122525502 - -45?\nAnswer: -122525413","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let s(t) be the second derivative of 0*t**4 + 0 - 3\/14*t**7 + 1\/5*t**6 + 0*t**3 + 8*t + 3\/20*t**5 + 0*t**2. Factor s(j).\nAnswer: -3*j**3*(j - 1)*(3*j + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -x**2 - 2680296*x.\nAnswer: -x*(x + 2680296)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Sort -642, -7, 1, -2, -5, 8 in increasing order.\nAnswer: -642, -7, -5, -2, 1, 8","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Round -2731500 to the nearest 10000.\nAnswer: -2730000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve 9501 = 674*u - 1283 for u.\nAnswer: 16","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (112 + -101)*(-36)\/(-22). Solve -24 = 7*g + v for g.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (w**(-26\/7)\/((w*w*(w**(-17\/6)*w)\/w*w)\/w))\/((w\/(w\/(w*(w*w*w**25)\/w)))\/(w**(-1\/4)\/w)) assuming w is positive.\nAnswer: w**(-2615\/84)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Convert 5 (base 9) to base 13.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*k + 7*k - 4 = 0. Suppose -3*x - 288 = -2*a - k*a, 4*a = -4*x + 288. What is the units digit of a?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Product of -0.107 and -0.5.\nAnswer: 0.0535","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-2 + 5*(sqrt(1620) - (sqrt(1620) - (-5 + sqrt(1620))))*-6)**2.\nAnswer: -159840*sqrt(5) + 1479904","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 12*v - 5*v = 0. Solve v = -3*s - 3 - 3 for s.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 1 = 4*f - 15. Suppose 0 = -5*g - r + 2, -2*r + 4*r - f = -5*g. Let a be g - (-18)\/((-3)\/(-3)). Calculate the greatest common divisor of 9 and a.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is 1 + -3544?\nAnswer: -3543","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-1 + 0 + sqrt(832) + sqrt(832) - sqrt(832)) + sqrt(832))**2 + sqrt(52) + (sqrt(52) + -2)*3.\nAnswer: -24*sqrt(13) + 3323","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -1.4 - -1.6. Which is the second biggest value? (a) -6 (b) 1\/2 (c) t\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 8580 and 6.\nAnswer: 8580","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of 341, 321, 295, 257, 201?\n\"Answer: -m**3 + 3*m**2 - 22*m + 361","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 22620 and 42889260?\nAnswer: 1740","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -18058, -71939, -161642, -287161, -448490, -645623, -878554?\nAnswer: -1147277","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*y - 3*i + 4*i = 815, -2*y + 3*i + 309 = 0. Let n be 5\/(9 + 16) + y\/(-10). Is -18 smaller than n?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3 = -n, -2*h + 6*h - 5*n + 19 = 0. Is 3\/43 not equal to h?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -3 divided by 2.\nAnswer: -3\/2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (-3 + (-65)\/(-15))*(-12)\/8. Let f(d) = -5*d**3 + 9*d**2 - 9*d + 4. Let j(y) = y**3 - 2*y**2 + 2*y - 1. Calculate u*f(h) - 9*j(h).\nAnswer: h**3 + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -35\/414 and -71\/132.\nAnswer: 9108","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 409617 is divided by 11.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*j = -0*j. Suppose j*o - 34 = -o. List the prime factors of o.\nAnswer: 2, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from xvccx. What is prob of sequence xxv?\nAnswer: 1\/30","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3 = -6*q + 15 for q.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1, -1.2, 2 in ascending order.\nAnswer: -1.2, 1, 2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2029655369?\nAnswer: 7, 4129, 70223","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let m(a) = a**2. Let i be 3\/(-8) - 75\/(-8). Let w(s) = -2*s**2 + 3*s**2 - i*s**2 - 10*s**2. Give w(m(z)).\nAnswer: -18*z**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {p: 3, d: 15}. What is prob of picking 2 p?\nAnswer: 1\/51","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 2856.84 + -2775. Round p to the nearest 10.\nAnswer: 80","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0 divided by 602?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -183 - -659. Suppose 0 = 5*j - 99 - p. Does 11 divide j?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 8755078 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is d in 2*d**2\/19 - 11342*d\/19 - 125004\/19 = 0?\nAnswer: -11, 5682","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 136 is divided by 132?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-9 + -2)*(-576)\/(-247104).\nAnswer: -1\/39","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is 768499871 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) -12 (b) -1\/3 (c) 2 (d) -3\/4 (e) -2 (f) 2\/13\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 425 is divided by 310?\nAnswer: 115","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let s(h) be the third derivative of h**7\/840 + h**5\/120 + h**4\/12 + h**3\/6 + h**2. Let a(p) be the first derivative of s(p). What is a(0)?\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -303 or -23?\nAnswer: -303","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let k(v) = v**2 + 22*v + 18. Determine k(-21).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 64 and 1240?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 776562?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -18997 + 12461. Let c be o\/(-473) - 4\/(-22). Solve 4*a = -2 - c for a.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(b) = -7*b - 6. Let y(i) = 6*i + 5. Let u(n) = 5*p(n) + 6*y(n). Let o(a) be the third derivative of a**5\/10 - 692*a**2 - a. What is u(o(k))?\nAnswer: 6*k**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0.077 in 2, -4, -3\/2?\nAnswer: -3\/2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -37246 + 111740\/3. Factor -4*k + 2\/3*k**2 + 0 + a*k**3.\nAnswer: 2*k*(k - 2)*(k + 3)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 119 and -565?\nAnswer: -67235","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:07 AM and 9:13 AM?\nAnswer: 6","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let k(s) be the third derivative of 30*s**2 + 0*s + 0 - 1\/3*s**4 - 7\/40*s**6 - 3\/2*s**3 + 1\/30*s**5. Is k(-4) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 5816953 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let q(o) = 113470*o - 110. Let v be q(13). What is v rounded to the nearest ten thousand?\nAnswer: 1480000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((m\/(((m*(m\/m**(3\/5))\/m)\/m)\/m))\/m*m)\/(m*m**7\/m))\/(m**(2\/17)\/(m*m\/(m**4\/m)*m*m))*((m*m\/m**9)\/m**(-5\/2))\/((m**8*m)\/m**(-9)) assuming m is positive.\nAnswer: m**(-4423\/170)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:01 PM and 4:40 AM?\nAnswer: 459","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of -621, -1241, -1859, -2475, -3089, -3701?\n\"Answer: b**2 - 623*b + 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -1400643 + 2035787. Let f = y - 224144. Round f to the nearest ten thousand.\nAnswer: 410000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(c) = 34*c**2 + 4*c + 3. Let j(o) = -o**2 - 7*o - 11. Let z be j(-5). Calculate the remainder when 95 is divided by v(z).\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 30047 = 18*x - 6115. Calculate the greatest common factor of 41 and x.\nAnswer: 41","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is 3 + 67034?\nAnswer: 67037","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 245 and 294?\nAnswer: 49","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 4792?\nAnswer: 2, 599","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 480.930302 rounded to zero decimal places?\nAnswer: 481","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of -5 - (66\/(-18))\/(2\/6)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -12111111 (base 3) in base 12?\nAnswer: -23a1","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0*n + 5*n - u + 24 = 0, -3*u - 3 = 0 for n.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*b**3 - 4*b**2 + 4*b**2)*((30 - 19 - 13)*(2 - 1 - 8) - 4 - 2 + 3).\nAnswer: -22*b**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((u**(-1)*(u*u*u**(-5))\/u)\/(u**(2\/7)*u)**(-37\/3))\/((u**0)**(25\/2)*u*u*u\/(u*u**(-4)\/u)*u**0*u*u*u*u) assuming u is positive.\nAnswer: u**(-1\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 94256 and 79163.\nAnswer: 173525296","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let y be -31 + (-2 - 6\/(-3)). Let q = 31 + y. Which is smaller: -10\/7 or q?\nAnswer: -10\/7","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from suunsqss. Give prob of picking 1 u and 1 s.\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((y*y*y**(-5\/3)*y*y*y*y*y**21\/y)**(19\/4))**(-32))**(-28) assuming y is positive.\nAnswer: y**(310688\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -94 = -2*s - 30. Suppose -s*j = -28*j. Suppose 2*g - g - 337 = j. Is g prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) -0.193 (b) -3\/2 (c) 3\/5 (d) -4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -1 or 6\/7?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*g = r - 16722, 5*r = 11*g - 9*g - 16734. List the prime factors of g.\nAnswer: 2, 37, 113","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 293, 557, 819, 1079?\nAnswer: 1337","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -161\/3607710 and 37\/212.\nAnswer: 7215420","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 2\/5 in 1\/6, -98, 6.9, 2\/19, 25?\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve f + 2 = -3 for f.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-5*sqrt(132)*-2*-5)\/(((-1*sqrt(168))\/sqrt(7))\/sqrt(2)).\nAnswer: 50*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: -415 divided by -4\nAnswer: 415\/4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -4*(-2 + sqrt(153))*4.\nAnswer: -48*sqrt(17) + 32","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 135642147?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Express -2*s**3 - s - 8*s**4 + 6*s + 6*s**4 as i*s**3 + v*s**2 + o*s + z*s**4 + x and give z.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Expand (64*q - 220*q + 53*q)*(5*q - 6*q + 2*q) - q - 11 - 9*q**2 + 7*q**2 - 2.\nAnswer: -105*q**2 - q - 13","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let t(u) = u**3 - 8*u**2 + 5*u + 2. Suppose -y = -2 - 5. Let v be t(y). Let p be (1\/(-22))\/(3\/v). Is -1 <= p?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -899 (base 12) to base 15.\nAnswer: -599","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is (6 - 0) + 12 + -4 + (-19 - -4)?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -5458.074171 + 5458.1. What is s rounded to three dps?\nAnswer: 0.026","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth root of 471993 to the nearest integer?\nAnswer: 26","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let h(b) = 22859 - 22834 - 3*b + 0*b. Calculate h(-14).\nAnswer: 67","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 1 or -150\/94799?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 60 minutes after 6:10 PM?\nAnswer: 7:10 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Work out 666982.249 - -7.\nAnswer: 666989.249","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let c(s) be the first derivative of 2*s + 21. Let d(l) = 6*l - 30. Let x(j) = 15*c(j) + d(j). Let o(p) = -7*p. Give x(o(b)).\nAnswer: -42*b","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of -6, -19, -40, -69, -106?\n\"Answer: -4*i**2 - i - 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -d*j*n**2*p - 358*d*j*n**2 - 4*d*j*n*p - d*j*p - 3*j*n**2*p - j*n*p + 357*j wrt n?\nAnswer: -2*d*j*p - 716*d*j - 6*j*p","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-19 - 12 + 8 - 2 + 0 + 4 + (1 - 1 + 5)*(0 + 4 - 5))*(3*v + v - 2*v).\nAnswer: -52*v","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from tihheteeqet. Give prob of picking 1 e and 2 h.\nAnswer: 4\/165","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is six fifths of a millimeter in micrometers?\nAnswer: 1200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of 4748, 9720, 14692?\n\"Answer: 4972*z - 224","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -158469.79 - -153357.5268. Let k = 5111.96319923 + q. Let a = k - -0.3. Round a to 7 decimal places.\nAnswer: -0.0000008","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 88204?\nAnswer: 2, 22051","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 14487 to the nearest integer?\nAnswer: 24","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 1352 + -862. Calculate the remainder when z is divided by 238.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-18)\/63)\/(3\/(-14)).\nAnswer: 4\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let g be 2\/((-7)\/((-2394)\/12)). Suppose c + o - 51 = 6*o, 2*c - 32 = -4*o. Let m = c + 12. Calculate the highest common divisor of m and g.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*k**4\/13 + 456*k**3\/13 - 422*k**2\/13 - 7224*k\/13 - 9080\/13 = 0. What is k?\nAnswer: -2, 5, 227","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let i(u) = 5*u**2 - 15*u + 1. Suppose 2*w = -5*q + 17, -3*q - 13 - 14 = -5*w. Is i(w) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (0 + 25)*22\/(-55). Let z be (-86)\/x - (-10)\/25. Let y(h) = 0*h - h**3 - z + h + 10. Calculate y(0).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -28*o - 55*o - 37*o + 414 = 18*o. Factor 0 - 1\/6*n**o + 0*n + 28\/3*n**2.\nAnswer: -n**2*(n - 56)\/6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -2385.4 - -2385. Let w = -1 + 3. Sort t, 5\/4, -1\/3, w in descending order.\nAnswer: w, 5\/4, -1\/3, t","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth root of 854900416 to the nearest integer?\nAnswer: 61","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 4 - (30 + -29 + (0 - -10)).\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let x(k) be the second derivative of -32*k + 0*k**2 + 1\/135*k**6 - 1\/27*k**3 - 1\/30*k**5 + 0 + 1\/18*k**4. Solve x(r) = 0 for r.\nAnswer: 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 87045 + -350505\/4. Let b = f + 575. Put 1\/4, -2\/5, b in increasing order.\nAnswer: b, -2\/5, 1\/4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p be -2*((-6)\/2)\/(-4 - -6). Suppose z + 19 = 5*h + 3*z, 0 = p*z - 6. Differentiate -7*i**h - 12*i**3 + 206 - 203 wrt i.\nAnswer: -57*i**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 14860534?\nAnswer: 2, 13, 101, 5659","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3050 = -13*f - 3*f - 9*f. Solve 0 = 115*i - f*i + 56 for i.\nAnswer: 8","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -26? (a) -179\/6 (b) 1\/3 (c) -5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 17061930?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) 1.5 (b) 20 (c) -3\/5 (d) 1 (e) 1\/8\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 2014, 3234, 5276, 8146, 11850, 16394, 21784, 28026?\nAnswer: 35126","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let q(j) = 9*j**3 + 2*j**2 + 2. Let y be q(-2). Let d be y\/(-14) - (-16)\/28. Let i = -192 - -194. Solve 5*o + v = -v + 15, -o = i*v + d for o.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 7 divided by -382?\nAnswer: -7\/382","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 28, 57, 92, 133, 180, 233, 292?\nAnswer: 357","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*z + 54 = 2*a, -166 = -5*a + 5*z - 2*z. List the prime factors of a.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 1672 + -518. Solve -o*f - 3*f**2 + 1154*f - 12*f**4 + 15*f**3 = 0 for f.\nAnswer: 0, 1\/4, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*j + 17 = m, -4*j - 29 = -3*m - 8*j. Suppose -4*p = -m - 9. Differentiate 16 - 4*v**4 + 4*v**p + 0 - 26*v**4 wrt v.\nAnswer: -104*v**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 4 + (5 - 23) + 13 + -15?\nAnswer: -16","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 2266 - -145. Is x composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (374\/(-44) - 16\/(-2))*-38. What is the highest common divisor of 5833 and y?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(k) = 3*k. Let z(d) = -946*d. Calculate p(z(l)).\nAnswer: -2838*l","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -0.18 - -0.2. Let l = 0.42 - j. Let o be (2\/8)\/(-6 + 7). Which is the nearest to o? (a) 0.5 (b) l (c) -5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.3105719 to one dp.\nAnswer: 0.3","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 23*d - 74486 - 28911 = 58638. What are the prime factors of d?\nAnswer: 5, 1409","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 3663500 by -1700.\nAnswer: -2155","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-2792)\/68404)\/((-1)\/(-2)*52\/14)?\nAnswer: -2\/91","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(a) = 444*a + 5772. Let q be v(-13). Solve q = -6*n + 5*g - 22, 3*n - 5*n - 14 = -5*g for n.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 553076 rounded to the nearest ten thousand?\nAnswer: 550000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 6*b - 3*b + 3*b**2 - 18*b**2.\nAnswer: -15*b**2 + 3*b","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let s(h) = -9*h**4 + 5*h + 9. Let v(n) = 22 + 6 - 2 - 26*n**4 + 0 + 14*n. Let r(w) = -14*s(w) + 5*v(w). Differentiate r(g) wrt g.\nAnswer: -16*g**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -3474*o - 5376*o - 2 + 2.\nAnswer: -8850*o","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 300667*s**4 + 133*s - 912.\nAnswer: 3608004*s**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is 58032229 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 224 is divided by 112?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is -170 (base 14) in base 16?\nAnswer: -126","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-1 + 3 + 0 + 10*l)*(42*l - 64*l**2 - 23*l - 20*l).\nAnswer: -640*l**3 - 138*l**2 - 2*l","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let f be -9 - 7\/(539\/(-715)). What is the smallest value in 12, 0, -0.12, f?\nAnswer: -0.12","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 8612614*s**3 - 2*s**2 + 5709998*s?\nAnswer: 51675684*s - 4","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -312 + 320. Does 4 divide l?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 332\/7 + -1307\/28. Let v = 8 + -11. What is the nearest to 0 in p, v, -1\/2?\nAnswer: -1\/2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 9*y + 170 - 593 = 0. Suppose 41*p = y*p - 18. Solve 5 = 3*d + h - 5, 15 = -p*h for d.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(n) = n**2 - 2. Let c be g(0). Let b(d) = 4*d**2 + 2*d - 1. Is 5 a factor of b(c)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 a and 1 l when two letters picked without replacement from lolazxofz?\nAnswer: 1\/18","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 0.00067 + -0.38067. What is the nearest to 0 in -4\/5, y, -0.4, 2?\nAnswer: y","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (g**1)**(-27)\/(g**(-2\/9)\/(g\/g**(3\/4))) assuming g is positive.\nAnswer: g**(-955\/36)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 205406*c**3 + 189670*c**3 + 58997*c**3.\nAnswer: 454073*c**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0.2? (a) -0.1 (b) -14\/5 (c) -0.3 (d) 9 (e) 2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 510*b*q**4*z + 10*b*q**4 - b*q*z - 58*b*z + q**4*z + q**2*z wrt q.\nAnswer: 12240*b*q*z + 240*b*q + 24*q*z","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = r + 3 - 12. Suppose -i - r = -4*i. Let g = i + 33. Is 12 a factor of g?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) -88 (b) -2 (c) 2\/7\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {d: 1, r: 1, m: 1, u: 1, t: 1}. What is prob of sequence ut?\nAnswer: 1\/20","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is 3635 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 1 + -0.99. Let b = m - -3.99. Let q = 3.9 - b. Put -0.2, q, 0.3 in descending order.\nAnswer: 0.3, q, -0.2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*k + 2*j - 8, -j = -4*k - 4*j + 12. Factor k - 1\/5*a - 3\/5*a**2.\nAnswer: -a*(3*a + 1)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*v + 28 = -0*v + 5*x, 3*v - 4*x + 29 = 0. Let p be (-162)\/(-8) + v\/44. Suppose 2*r - 6*r + p = 0. Solve -3*c + r - 2 = 0 for c.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 8 + (4 - 10) + (24 - -10) + -62.\nAnswer: -26","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 228235*0.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 5*y - 0*x - 3*x + 6, 5*x + 9 = 2*y. Let m be (-14)\/(y + (-20)\/(-8)). Let v(p) = m - 28 - p. Let b(h) = -h. Give v(b(o)).\nAnswer: o","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 253381418?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 16*c = 20*c + 1492. Let b = -174 - c. Let z = b + -149. Is z a multiple of 10?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(s) = -3*s + 33. Is o(4) even?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(n) = -867*n - 12. Let d be k(-5). Let v = d + -237757\/55. Let m = v + -439\/2640. Which is greater: 0 or m?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {z: 4, h: 2, n: 1}. What is prob of picking 2 z and 1 h?\nAnswer: 12\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 5956.62419 rounded to the nearest one hundred?\nAnswer: 6000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -4 + 4 - 35*j**2.\nAnswer: -35*j**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(66)*-1*-3 + (1*sqrt(66) + sqrt(66))*6)\/((sqrt(54) - (sqrt(54) + (3*sqrt(54) - sqrt(54)))) + (sqrt(6) - (-2*sqrt(96) - sqrt(6)))).\nAnswer: 15*sqrt(11)\/4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of 3164, 3163, 3162, 3161?\n\"Answer: -o + 3165","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let o(a) = -2*a**3 - 26*a**2 + 49*a - 1483. Calculate o(-17).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Sort -0.186, -0.5, -3 in increasing order.\nAnswer: -3, -0.5, -0.186","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Convert 1 (base 3) to base 7.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 6 - 5 + 6784*y - 1 - 2665*y.\nAnswer: 4119*y","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 54056 = 4*o - 3*w + 4*w, -5*o + 67570 = -2*w. What is the tens digit of o?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -173 = -2*f + y, -2*y = 2*f - 79 - 79. What is the remainder when f is divided by 22?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (i**(1\/3)*i*i\/(i*i\/i**(18\/11)*i))**(-3\/23) assuming i is positive.\nAnswer: i**(-32\/253)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 3*((5 + 3*sqrt(1008))**2 - sqrt(1008) - (sqrt(1008) - 3*(1*sqrt(1008))**2)).\nAnswer: 1008*sqrt(7) + 36363","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of 12, 17, 18, 15?\n\"Answer: -2*l**2 + 11*l + 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let q(w) = -w**2 + 4*w - 5. Let r be q(2). What is the units digit of 6 - (6\/2 - r)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*l + 2*q = 7*l - 21684, 5*l + 2*q - 27096 = 0. List the prime factors of l.\nAnswer: 2, 5, 271","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_test"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -2\/549? (a) -5 (b) 1 (c) -0.1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let h(w) = -8*w**3 + 4*w**2. Let v(m) = 7*m**3 - 3*m**2. Suppose 6*l - 1 + 19 = 0. Calculate l*h(g) - 4*v(g).\nAnswer: -4*g**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 479094 and 32403.\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 28 - 16. Suppose -6*p + 2*p + l = 0. Solve 5*z = -t - 1, -3*t - p = -z + 6*z for z.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine x, given that 4\/7*x**2 - 2\/7*x**3 + 0*x + 0 = 0.\nAnswer: 0, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -7 (base 15) to base 12.\nAnswer: -7","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of -12017, -12352, -12687?\n\"Answer: -335*m - 11682","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 12\/6771755 > 0?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 77638965?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -2 + -5 - -3 - (-6 - -21)?\nAnswer: -19","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from zpddddpz. Give prob of sequence dzzd.\nAnswer: 1\/70","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2236*z = 988*z - 93600 for z.\nAnswer: -75","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate h**3*t + 1221113*h**3 - 1190218*h**2*t wrt t.\nAnswer: h**3 - 1190218*h**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let o(z) = -9*z**3 - 24*z**2 + 72*z + 99. Give o(-8).\nAnswer: 2595","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -11\/124 - -653\/372. Let s(c) be the first derivative of 0*c**4 + 0*c**2 + 0*c + 0*c**5 - 1 + m*c**6 + 2\/3*c**3. Find the third derivative of s(b) wrt b.\nAnswer: 600*b**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 27445849?\nAnswer: 613, 44773","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Does 465 divide 3411266970?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is 23958139 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -34219659, -34219663, -34219669, -34219677?\nAnswer: -34219687","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let k(b) = b**2 - 2. Let p be k(2). Suppose -16*z = -8*z - 672. Suppose -5*g = -12*g + z. Solve f + 2*f = p*c - g, -5*f - 20 = 5*c for c.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*f + 3 - 23 = 0. Suppose f*m + 0*m - 3*h - 418 = 0, -h - 311 = -3*m. Let b = m - 49. What is the remainder when b is divided by 15?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 10261687.8 rounded to the nearest 1000000?\nAnswer: 10000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence znz when three letters picked without replacement from {u: 1, n: 2, z: 3, k: 1, c: 2, s: 3}?\nAnswer: 1\/110","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: How many centuries are there in 3\/5 of a millennium?\nAnswer: 6","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: How many millennia are there in 7141.589 decades?\nAnswer: 71.41589","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -11 - -4. Let o = -141 - -151. Let t = o + b. Solve 2 - t = k for k.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -24832 (base 12) in base 8?\nAnswer: -140646","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*z + 15 = 2*z. Determine b so that -4*b**5 - z*b**5 - 3*b + 4*b**5 + 7*b**3 - b**3 = 0.\nAnswer: -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*o = -5*o + 33. Let u = o + -37. Is (286\/3)\/(u\/(-6)) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -3? (a) 394 (b) -1 (c) -1078\/23 (d) 4 (e) 3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {a: 1, s: 1, g: 1}. What is prob of picking 1 a and 1 g?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 34*q = 57*q + 30*q - 265. Solve -5*h + 15 = 2*s, -s - 5*h + q = -15 for s.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*i = -4*q + 12 + 8, 4*i - 8 = 0. Suppose -q*g = -4*g + 3. Let n be (0 + 0)\/(2\/6*g). Which is the third biggest value? (a) -2 (b) n (c) -1\/5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(q) = -2*q. Let b(g) be the third derivative of -g**5\/20 - 2*g**2. Calculate b(a(j)).\nAnswer: -12*j**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -130*a + 126*a = -4640. What are the prime factors of 1\/(3\/(-6))*a\/(-5)?\nAnswer: 2, 29","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(h) = -3*h**3 - 3*h**2 + 4*h. Let u(o) be the first derivative of o**4\/4 + o**3\/3 - o**2\/2 + 4159. Let x = -7 + 5. Calculate x*z(s) - 7*u(s).\nAnswer: -s**3 - s**2 - s","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*l + l = -5*y, 3*l = -3*y. Suppose 2*k + 0*k - 270 = l. What is the greatest common divisor of k and 27?\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((105\/(-3))\/5)\/(((-8)\/(-32))\/(90\/(-36))).\nAnswer: 70","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let q(x) = -x**2. Let n(r) = -r**2 - 3*r + 36. Let u(i) = i**2 + 2*i - 35. Let a(p) = -2*n(p) - 3*u(p). Calculate a(q(j)).\nAnswer: -j**4 + 33","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1477020?\nAnswer: 2, 3, 5, 103, 239","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 1242 and 3831336504?\nAnswer: 1242","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is 11\/76093 greater than -0.3?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: 3*-7.8\nAnswer: -23.4","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: ((-4)\/12)\/(16*5\/90)\nAnswer: -3\/8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 103745281.\nAnswer: 101, 1027181","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 38*f**4 - 27*f**3 - 108637*f**2.\nAnswer: 912*f - 162","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1\/2, 38, -1 in ascending order.\nAnswer: -1, 1\/2, 38","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -125, -53, 17, 85, 151?\nAnswer: 215","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let y be 1\/(-2*(-5)\/40). Solve -g = 4*c - 2*g + 12, 4 = -y*c + 3*g for c.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 108\/809 - 355907\/5663. Suppose 2*l = 3*t + 114, -4*t - 73 - 163 = -4*l. Let h = l + g. Which is greater: -1\/2 or h?\nAnswer: h","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 261169572?\nAnswer: 2, 3, 17, 223, 5741","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 5410401?\nAnswer: 3, 41, 43987","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Convert -67 (base 13) to base 16.\nAnswer: -55","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 3423 and 902853.\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*w - 4*d - 92, 0 = -4*w - w - 3*d + 230. Suppose 4*t = -z + 82 - 79, 0 = 4*z + t - 177. Which is smaller: w or z?\nAnswer: w","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(n) = -n**2 + 65. Let q be c(0). Let a be q\/15 + 2\/3. Find b, given that -2*b**4 + 4*b + 10*b**a - 14*b**3 - 4*b**4 - b**2 + 7*b**2 = 0.\nAnswer: -1, -2\/5, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (j**(-2\/17)*j*j**(-1\/4)*j*j*((((j*(j**(-5\/8)*j)\/j*j)\/j)\/j*j)\/j)**(-4\/7))**14 assuming j is positive.\nAnswer: j**(1423\/34)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -0.1 + 93.1. Let c = 93.0000412 - t. What is c rounded to 6 decimal places?\nAnswer: 0.000041","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -47*k + 1363 = 893 for k.\nAnswer: 10","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Determine b, given that 2*b**2 + 257634*b = 0.\nAnswer: -128817, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 3 + (4*sqrt(21)*-2 + sqrt(21))\/((sqrt(77) - (sqrt(77) + -2*sqrt(77)))\/sqrt(11)).\nAnswer: -7*sqrt(3)\/2 + 3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 707 minutes after 5:16 AM?\nAnswer: 5:03 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 663167.7 rounded to the nearest one hundred thousand?\nAnswer: 700000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 214534299 divided by 71511433?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let z(i) = 4*i + 9. Let w be z(4). Suppose -12*c = w - 289. 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 29741808 a multiple of 6?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let h(a) = -39*a - 1588. Let k be h(-45). Solve -36*v + k = -13 for v.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -s + 15 = -2*p - 0, -s = -3*p - 20 for p.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: 0*1633839.6\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 67 + -63. Solve a = 3*u + 6, s = a + 4*u - 5*u for a.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 40 = 2*q - 2*i, 2*q + 4*i - 48 = 2*i. Let m be 6\/(-27) - q\/(-18). Which is greater: m or 2\/11?\nAnswer: m","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x be 11\/((-22)\/(-8)) + -1. Suppose p - 5*k = 3567, -x*k - 3563 = p - 2*p. Is p a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (2\/(-6))\/(4\/60). Let o(m) = m**2 + m - 21. Give o(c).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((d**(2\/31)\/d)\/(d*d\/(d\/d**(2\/3))))\/(d**(17\/5)\/(d\/(d\/(d*d**(-2\/13))))))**(1\/46) assuming d is positive.\nAnswer: d**(-15584\/139035)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -1? (a) 2\/11 (b) 7 (c) 2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -20 - -53. What is the remainder when q is divided by 12?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(s) = 3*s + 2. Let t(h) be the first derivative of -h**2\/2 + 49. Determine 6*t(o) + v(o).\nAnswer: -3*o + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 39*-1306.8.\nAnswer: -50965.2","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (57\/6)\/((-4)\/(-72)). Suppose -t = f - 578. Is f a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2190597274?\nAnswer: 2, 353, 3102829","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 395928?\nAnswer: 2, 3, 13, 47","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 129*a*j**3*w**3 - 2*a*j**2*w**2 + a*j*w + j*w**3 - 29*j wrt j?\nAnswer: 774*a*w**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -7*i**5 + 29*i**5 - i**2 - 3*i**3 + 8*i**2 + 8*i - 13*i wrt i.\nAnswer: 1320*i**2 - 18","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 274 minutes after 8:58 PM?\nAnswer: 1:32 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 128, 140, 160, 188, 224, 268?\nAnswer: 320","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Determine q, given that q**4\/3 + 2824*q**3\/3 - 7*q**2\/3 - 19762*q\/3 + 5648 = 0.\nAnswer: -2824, -3, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-5)\/((-14*(-282)\/2303)\/(18\/(-28)))?\nAnswer: 15\/8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -0.1 in -2, -15, -4?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (32 - 30) + 41 + -5 + 1.\nAnswer: 39","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_test"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 t, 1 g, and 1 o when three letters picked without replacement from ongpgnpgggtnppgg.\nAnswer: 1\/80","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 543.64 - 591.1. Let n = -10.3 + 58.3. Let l = n + h. What is l rounded to one decimal place?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*r = 3*o + 27, -2*o - 7 = r - 1. Suppose 5*v = 3*h + 350, 0*h = 5*v - r*h - 350. List the prime factors of v.\nAnswer: 2, 5, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:18 AM and 1:57 PM?\nAnswer: 639","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -44193*o + 44193*o - o**3 + 3*o**3.\nAnswer: 2*o**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 143084434.\nAnswer: 2, 29, 2466973","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -100*b + 43*b + 6 - 87*b.\nAnswer: -144*b + 6","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of 100969, 101089, 101209?\n\"Answer: 120*v + 100849","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -2.9 - -3.1. Let c = 0.6 - w. Let p = c + -1.72. Round p to 1 decimal place.\nAnswer: -1.3","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -11.15 - -8.15. What is the closest to -0.1 in 2\/9, 85, 2, j?\nAnswer: 2\/9","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 99072144 to the power of 1\/2, to the nearest integer?\nAnswer: 9953","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 4*f**2*z**2 + 83*f**2 - f*z + 23*t*z**2 + t + 4*z**2 wrt z?\nAnswer: 8*f**2 + 46*t + 8","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let o(v) = v**2 - 17*v + 36. Let c = 66 + -51. Calculate the remainder when 20 is divided by o(c).\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(i) = -i**3 + 5*i**2 + 10*i - 18. Suppose 0 = -9*u + u + 48. Let g be s(u). Solve -o + g*o = 10 for o.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1, -253, 2.\nAnswer: -253, 1, 2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 61721 is divided by 61527?\nAnswer: 194","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve -o - q = -58 + 65, 0 = 3*o - 5*q + 5 for o.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let k(t) = -6*t**2 - 3*t - 7. Let y(v) = -2 - v + 128*v**2 - 130*v**2 + 0*v. Let g = 6 - -1. Calculate g*y(h) - 2*k(h).\nAnswer: -2*h**2 - h","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -5 + 7. Let h be 8\/(-40) - r\/(-10). Solve -x + 2 = -h for x.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose t - 5*r - 12 = 0, 2*r + 2*r = 3*t - 14. Suppose -4 = -4*w + t*p - p, 2*p = 4*w. Sort -4, w, 5.\nAnswer: -4, w, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 486559 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let f be 2\/2*(49 + -2). Suppose f = 4*q - 29. What is the remainder when -37*(-1 + -1)\/2 is divided by q?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 291824882 to the power of 1\/2, to the nearest integer?\nAnswer: 17083","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -5515\/4 + 1380. Let d(f) be the first derivative of -x*f + 5\/4*f**2 - 5\/12*f**3 + 12. Find y such that d(y) = 0.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -259 - -245 - (5 + -35)?\nAnswer: 16","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -1 + 0. Let u = 0.19 + 0.21. Which is the nearest to f? (a) -4\/5 (b) u (c) 0.3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (-12)\/10*(-120)\/9. Suppose -2*f - 5*q + 12 = f, -u = -4*f - 4*q. Suppose -f*w = -5*w + 7. List the prime factors of w.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 30 = 152*f - 157*f for f.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is -1113 (base 9) in base 7?\nAnswer: -2253","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let u(p) = 5*p + 1. Let l be u(-1). Suppose -1 = 2*d - 13. Suppose -2*o = 5*v - 3, -5*o + d*v - 10 = v. Which is the closest to -1? (a) -1\/6 (b) l (c) o\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -179 - -1429\/8. What is the second biggest value in c, -3, -0.4?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -348*y + 560 = 318*y - 682*y for y.\nAnswer: -35","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 20781\/56 + -2591\/7. Which is greater: 2 or s?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 18.2 + -18. Let x = 0.2 + p. What is the nearest to 1 in x, -1\/4, -3?\nAnswer: x","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 47 + -31. Is (2 - -26)*28\/v composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 f when two letters picked without replacement from dfddfddddddfddddfdfd?\nAnswer: 1\/19","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Determine h so that 2*h**5\/9 - 1064*h**4\/9 + 88978*h**3\/9 + 567164*h**2\/9 + 159040*h\/3 = 0.\nAnswer: -5, -1, 0, 112, 426","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -32\/15 - -2. What is the third biggest value in -7\/2, -2, 0.3, j?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 258 divide 25542?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 12529 and 119867?\nAnswer: 187","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: How many milliseconds are there in 59\/5 of a second?\nAnswer: 11800","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let c(a) = -7*a**3 - 6*a**2 + a. Suppose 10*m + 64 = -6. Let o(v) = 8*v**3 + 7*v**2 - v. Calculate m*c(k) - 6*o(k).\nAnswer: k**3 - k","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let b(u) = u**2 - 5*u + 1. Let t(o) = -o**2 + 6*o. Calculate 6*b(m) + 5*t(m).\nAnswer: m**2 + 6","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 43135 is divided by 132.\nAnswer: 103","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 250370 to the nearest integer?\nAnswer: 63","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -0.1? (a) -5.2 (b) -9 (c) -0.4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -2? (a) 7\/6 (b) -3\/4 (c) -7\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -1 or 12\/5717209?\nAnswer: 12\/5717209","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 0 - -4. Suppose -2*w + 2*h + 5 = -w, 4*w - y*h = 16. Solve 2*s - w*s = 5 for s.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many years are there in 31\/2 of a decade?\nAnswer: 155","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let u(z) = -z**3 + 3*z**2 + 2. Let r be (-108)\/48*8\/(-6). Let q be u(r). Solve q = 5*c - 8 for c.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many litres are there in 220.3545ml?\nAnswer: 0.2203545","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*j - 3*b - 16, -j - 13 = 4*j + 2*b. What is the smallest value in -2\/7, -3, j, 1\/4?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:36 PM and 1:56 AM?\nAnswer: 260","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -19, -11, -3, 5?\nAnswer: 13","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is 1 - 150?\nAnswer: -14b","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 24661\/4 + -6165. What is the second biggest value in d, 0.7, 13?\nAnswer: 0.7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 7882 is divided by 138.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 879136847.\nAnswer: 879136847","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 62 = -5*o - r, -8*o + 3*r - 54 = -3*o. Let y be 7\/(14\/o) + 3. Is (-29 + 3 - y)\/(-1) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of ((-142)\/(-4))\/(-17 + 42) and 6099\/(-380)*1\/((-6)\/(-4)).\nAnswer: 50","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (1 - 1) + (-4)\/(-34). Suppose 4*x = 10 - 14. Is x equal to r?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(r) = -3*r + 15. Let i be o(6). Put 0, i, -1 in ascending order.\nAnswer: i, -1, 0","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*h + 20 = 9*h. Suppose 15 = -5*q - 5*z, -2*q + h*z - z = 26. Let g = 76 - q. Is g a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2 - k + 0 - 1)*(-k - 8*k - 6 + 7*k)*(-2 + 0 + 3)*(53 - 362 - 117).\nAnswer: -852*k**2 - 1704*k + 2556","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -160764 + 44764 = 2*a. Round a to the nearest ten thousand.\nAnswer: -60000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(p) = p - 2. Let j be c(-41). Suppose 4*b + 120 = 2*i, -2*b - 68 = 3*i - 0*i. Let d = b - j. What is the tens digit of d?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 28\/33 + ((-36)\/(-27) - 2)?\nAnswer: 2\/11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose r - 4228 = u, 4*u + 0*r + r + 16922 = 0. Let w be u\/(-2) - (4 - 6\/1). Let p = w - 1246. Is p a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 3 m when three letters picked without replacement from {i: 5, m: 3, c: 3, o: 2}?\nAnswer: 1\/286","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let l(c) = -c**3 - 3*c**2 + 7*c + 22. What is the remainder when l(-6) is divided by 18?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (-16)\/(-28) + 465\/7. What is the highest common divisor of 1809 and x?\nAnswer: 67","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 749\/15355 or 1?\nAnswer: 749\/15355","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let w be ((-129)\/6)\/((-2)\/4). Let v = -22 + w. Is v composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i be 323\/76 - 9\/(-12). Let q(k) = k - 6. Let o(j) = -2*j + 5. What is i*q(b) + 6*o(b)?\nAnswer: -7*b","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 167 minutes before 8:04 PM?\nAnswer: 5:17 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:48 AM and 4:10 AM?\nAnswer: 142","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let t(b) = -6*b + 23. Let q(w) = -5*w + 23. Let k(h) = -3*q(h) + 2*t(h). Suppose 3*v - 25 = -1. Let n be k(v). Solve -a - n = -2 for a.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 431 is divided by 127?\nAnswer: 50","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.066237604 to 3 dps.\nAnswer: -0.066","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:19 AM and 2:27 AM?\nAnswer: 128","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of -84640, -84632, -84622, -84610?\n\"Answer: f**2 + 5*f - 84646","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -18281, -8530, 7715, 30448, 59663, 95354, 137515?\nAnswer: 186140","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is -aa (base 14) in base 13?\nAnswer: -b7","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let t(a) = 2*a**2 - 236*a + 3922. Give t(98).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Put -1, 4, 6\/77, -0.2, 67\/3 in decreasing order.\nAnswer: 67\/3, 4, 6\/77, -0.2, -1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let c(o) = o. Let p(x) = -12*x. Suppose -3*d + 58 = -f + 17, -2*d = 3*f - 20. Suppose 9 = -t - d. Let b be 2\/(-7) + (-24)\/14. Determine b*p(k) + t*c(k).\nAnswer: 2*k","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let n(u) be the first derivative of -u**6\/30 - u**4\/12 - u + 1. Let s(m) be the first derivative of n(m). Find the third derivative of s(f) wrt f.\nAnswer: -24*f","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 13*n + 9 - 3*n**3 - 10*n - n**4 + 2*n**3 + 4*n**3 as l*n + q*n**2 + h*n**4 + i + v*n**3 and give h.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is -26 (base 9) in base 10?\nAnswer: -24","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 892380712 to the power of 1\/2, to the nearest integer?\nAnswer: 29873","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let u(j) = -1051*j + 80934. Calculate u(77).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*x = 4*i + 18 + 10, 3*i = 4*x - 21. Which is smaller: i or -1?\nAnswer: i","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*d = -8, -2*d + 11 = -j + 1. Put j, -4, 0 in increasing order.\nAnswer: -4, j, 0","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(z) = -15*z + 25. Let h be f(-5). Let t = -73 + h. Suppose -t + 93 = 3*x. Solve -3*q + 5*i - x = -0, -13 = 2*q - 3*i for q.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(y) = 1974*y. Let g(f) = 993*f - 1. Calculate -11*g(d) + 6*h(d).\nAnswer: 921*d + 11","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let d(x) = 680*x + 40. Let h be d(-2). What is h rounded to the nearest 100?\nAnswer: -1300","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (64\/(-50))\/(-16) - 27\/25. Let h(u) = u**3 + u**2 + u - 1. Let t(b) = -7*b**3 - 14*b**2 - 14*b + 14. Calculate s*t(a) - 14*h(a).\nAnswer: -7*a**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 16909214 divided by 24649?\nAnswer: 686","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Put 2, 516, 70376 in ascending order.\nAnswer: 2, 516, 70376","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let u be ((-2)\/(4\/2))\/(3\/(-21)). Let y(k) be the first derivative of -k**2\/2 + 2*k - 5. Determine y(u).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 24*s**2 - 55*s**2 - 4 + 53*s + 32*s**2 + (s - s + s)*(-2*s + 3*s + s).\nAnswer: 3*s**2 + 53*s - 4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -34705190204\/3443 - -10079928. Let h = -2\/313 + k. Which is bigger: -5 or h?\nAnswer: h","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(o) = o**2 + 14*o - 7. Suppose 2*s = 4*c + 36, -3*c = 332*s - 329*s + 54. What is r(c)?\nAnswer: -31","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out 0.4 * 78.6742.\nAnswer: 31.46968","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of (-1 - -5) + (0 - 2)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((o**1*o)**(-1\/8)\/(o**(-1\/6)\/o**5))**(-46) assuming o is positive.\nAnswer: o**(-1357\/6)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 268575?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 79 + -55. Suppose -38*u + z*u = 31*u. Factor 2\/7*b**4 + u + 6\/7*b**3 + 6\/7*b**2 + 2\/7*b.\nAnswer: 2*b*(b + 1)**3\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of 18968, 38443, 57928, 77423?\n\"Answer: 5*q**2 + 19460*q - 497","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 2 + -7 + ((-13 - -9) + 17 - 4)?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 67630.\nAnswer: 2, 5, 6763","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let n(j) = 15*j**2 + 317*j - 230. Let u(c) = 7*c**2 + 159*c - 117. Let y(z) = 6*n(z) - 13*u(z). Find the first derivative of y(b) wrt b.\nAnswer: -2*b - 165","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2 - 3 + 3)*(81*v - 178*v - 104*v)*(-5*v**2 + 7 - 11 + v**2).\nAnswer: 1608*v**3 + 1608*v","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((t\/(t**(2\/3)\/t))**(-12\/17)*(t\/(t*t\/t**(2\/3)*t*t))\/(t*t**(-1\/4)*t))\/((t**(-5\/4)\/(t*t**(3\/5)))\/(t**(2\/7)*t*t**7)) assuming t is positive.\nAnswer: t**(21817\/3570)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let n(h) = -h + 9. Let z be n(9). Which is the nearest to z? (a) -3\/5 (b) -3 (c) -5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -704310316427\/1590 + 442962444. Let o = 16698 + -13274906\/795. Let x = z - o. What is the common denominator of x and 47\/6?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:06 PM and 8:37 PM?\nAnswer: 211","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is 8523259 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in 4, 23, -1, -2\/7?\nAnswer: 23","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -1652, -8946, -21888, -40478, -64716, -94602?\nAnswer: -130136","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let t(b) = b**3 + 6*b**2 - 9*b + 4. Let i(d) = -6*d**3 - 29*d**2 + 46*d - 21. Let r(j) = -2*i(j) - 11*t(j). Let s be r(7). Are -2 and s nonequal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(a) = 147*a - 2875. Calculate the remainder when 2321 is divided by k(21).\nAnswer: 201","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-16*z + 0*z + 7*z)*(0 + 0 + 1).\nAnswer: -9*z","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {l: 3, i: 3, e: 1, g: 1, n: 2}. What is prob of sequence nnl?\nAnswer: 1\/120","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is -2012212 - -232?\nAnswer: -2011320","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*n - 40 + 472 = 0. Suppose -x - 40 = -2*x - 3*l, 2*x - n = l. Let f = x - 207\/4. Which is the closest to f? (a) 1\/4 (b) -3 (c) 2\/9\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_test"},"subset":"dm_maths"} +{"text":"Question: Let o = 40 - 24. What is the lowest common multiple of ((-10)\/8)\/((-7)\/28) - 1 and o?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 709650 and 38014.\nAnswer: 166","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 341012 and 4256?\nAnswer: 532","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: -6717168 divided by 639\nAnswer: -10512","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let q(m) = 35*m - 2. Let u be q(2). Let g(l) = 355*l - 1031. Let k be g(3). What is the greatest common factor of k and u?\nAnswer: 34","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -z - 61*v = -58*v + 5, z - v = 7 for z.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence aaet when four letters picked without replacement from {t: 5, e: 1, a: 5}?\nAnswer: 5\/396","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let s(i) = -i**3 - 4*i**2 + 22*i + 13. Let q be s(-7). What are the prime factors of (q*4\/(-14))\/((-18)\/2394)?\nAnswer: 2, 3, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g be 32\/208 - 100\/(-26). Solve g*a = -2*o - 20, 2*o + 2*o = a - 13 for a.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 2 <= -35432?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Divide -5306 by 919.\nAnswer: -5306\/919","meta":{"dup_signals":{},"source":"arithmetic__div_test"},"subset":"dm_maths"} +{"text":"Question: Does 130 divide 297350690?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 5730747.\nAnswer: 3, 11, 173659","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*d - 5*d. Solve d = -4*v + 4*k, -k - 2 = 3 for v.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(r) be the second derivative of -19*r**3\/2 - 2*r - 793. Let j(x) = 8*x**2. Calculate j(h(c)).\nAnswer: 25992*c**2","meta":{"dup_signals":{},"source":"polynomials__compose_test"},"subset":"dm_maths"} +{"text":"Question: Let p(a) = a**3 + 9*a**2 - 9*a + 13. Let d be p(-10). Let r be (-12)\/5 + 6\/15. Sort d, -4, r in decreasing order.\nAnswer: d, r, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (-1)\/(-1) + ((-240)\/(-5) - -1). Suppose 54*d - a = 59*d. Let m be (-2)\/d + (1 - 334\/(-5)). Round m to the nearest ten.\nAnswer: 70","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 4 and 11?\nAnswer: 44","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from thhthtetqthhuhhttthu. What is prob of sequence et?\nAnswer: 2\/95","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 37174, 37076, 36916, 36694, 36410, 36064?\nAnswer: 35656","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let g be 2\/207*42\/(-7). Let j = -25.49 - -23.49. Which is the second biggest value? (a) -0.4 (b) g (c) j (d) -4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 7396 to the nearest integer?\nAnswer: 19","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -170, -348, -544, -770, -1038, -1360, -1748, -2214?\nAnswer: -2770","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 876*t - 802*t + 666 = 0 for t.\nAnswer: -9","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Find y, given that -2*y**5\/11 - 10*y**4\/11 - 16*y**3\/11 - 8*y**2\/11 = 0.\nAnswer: -2, -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Express 11 + 3*x - 4*x + 3*x + 24 - 3*x in the form d*x + j and give d.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -1? (a) 16 (b) 3 (c) 0.09\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*n = 2*n - 4*q - 524, 3*q - 413 = -4*n. Calculate the remainder when n is divided by 6 - 67\/(603\/(-108)).\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 23 divide 824?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 586 minutes after 2:28 PM?\nAnswer: 12:14 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: (-7468972)\/(-61215) - 40\/3300\nAnswer: 122","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (-184)\/(-12) - (8\/6 + -2). What is the second derivative of -8*v - q*v**2 - 10*v + 6*v wrt v?\nAnswer: -32","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -179 divided by -48526?\nAnswer: 179\/48526","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Factor -3*a**2\/7 + 771*a\/7 - 1530\/7.\nAnswer: -3*(a - 255)*(a - 2)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -114332*j - 192925*j - 115962*j.\nAnswer: -423219*j","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 113894 is divided by 3254?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -4872 - -1380.2. Round h to the nearest one hundred.\nAnswer: -3500","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*u + 2*y = 12, -2*y + 12 = 3*u - 7*y. Suppose u*d = -3*s + 51, -3*s + 50 + 4 = 3*d. Is s a multiple of 5?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange f**2 + 59 + 12*f**3 - 3*f - 109 + 55 to i*f**3 + x*f**2 + j + q*f and give x.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*s + 1441647 - 5668817 = -42*s. Is s composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 25\/16 and -51\/28?\nAnswer: 112","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (3\/3)\/((-7)\/(-1680)). Suppose 0 = i - 7 - 8. What is the highest common factor of i and t?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 23*t - 13*t = 1510. Let w = t + -151. Let -1\/4*i**5 + 1\/2*i**3 + w + 0*i**4 - 1\/4*i + 0*i**2 = 0. Calculate i.\nAnswer: -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 x and 2 i when three letters picked without replacement from {x: 3, i: 4}.\nAnswer: 18\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let q(z) = -2*z - 18. Let d(p) = -2*p - 17. Let r(a) = 7*d(a) - 6*q(a). Let y be r(-5). What is the units digit of 4*(-1 + -1)*y?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -97 - -320. Is a a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u be ((-12)\/20)\/(4\/(-20)). Suppose 2*n - m + 10999995 = 0, -3*n - 27499985 = 2*n - u*m. Round n to the nearest one million.\nAnswer: -6000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1, -434395, 28.\nAnswer: -434395, -1, 28","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7 = 2*z - 19. Suppose -2*n = -4*n + z. Let a = 8 + -4. Solve 0 = -n*g - 0*g - 2*v + 14, 8 = -4*g + a*v for g.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(q) = -q**2 + q - 15. Let m be x(3). Let a be 8\/(-2) - (-17 + m\/7). Solve -a*z - 32 - 48 = 0 for z.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*v = 3*b - 556, -2*b - 5*v + 344 = -v. What is the least common multiple of 6 and b?\nAnswer: 180","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -33*p - 31*p + 17*p - 9*p.\nAnswer: -56*p","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Divide 0 by 293.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is 41333 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Convert 3833 (base 13) to base 7.\nAnswer: 32165","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*g - 8*g + 26 = 2*h, 5*g = 4*h - 22. Let u(m) = 3*m - 17. Let k be u(h). Let b = k - 7. Solve b*n = n + 5 for n.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*m = -2*q - 10, 4*m - 36 = -12 for q.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let d(g) = -2*g**2 + g - 1. Let n be d(1). Let r = 117 - 112. Sort n, -5, r in increasing order.\nAnswer: -5, n, r","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find d, given that 2*d**2\/7 + 2267998*d\/7 + 9071960\/7 = 0.\nAnswer: -1133995, -4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*r - 16 = -0*r. Let v be -24*(10\/3)\/(-5). Suppose v = -3*a - 5*q, -4*a + 0*q + 7 = q. Which is bigger: r or a?\nAnswer: r","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -20 + 130 - 6757*a - 110 to g*a + t and give g.\nAnswer: -6757","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 5 + -5.4. Let f = -200\/153 - -26\/17. Let l = -3 + 5. What is the third smallest value in f, n, l?\nAnswer: l","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 79815 a multiple of 255?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 28*k + 65 = 41*k. Let q(g) = -253*g**4 + 332. Let p(c) = 258*c**4 - 331. Let h(n) = k*p(n) + 4*q(n). Differentiate h(u) with respect to u.\nAnswer: 1112*u**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 7\/1479930163 and -35?\nAnswer: 1479930163","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1696158940 divided by -4.\nAnswer: -424039735","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let x(w) = -9*w + 6. Let o be x(-5). Suppose 0 = 69*u - 59*u - 50. Suppose -u*q = -422 + 82. What is the greatest common factor of o and q?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 4 minus -89401?\nAnswer: 89405","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 27242485?\nAnswer: 5, 19, 286763","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let b(c) = 28*c**3 - c**2 + c - 1. Let k be b(1). Is 9 a factor of (-1 + 5\/3)*k?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -62*c**2*t**2 + 184926*c**2*t + 657*c*t**2 + 2*c*t + 4*t**2 wrt t?\nAnswer: -124*c**2 + 1314*c + 8","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0? (a) 16.3 (b) -57142 (c) -13\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (0 - 0)\/(-2 - -3). Suppose u = 4*x + 3*a - 4*a - 5, 0 = -5*x + 3*a + 8. Is x\/(-4) + (-2679)\/(-12) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 5 (base 16) to base 11.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is -5 (base 13) in base 4?\nAnswer: -11","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 32144180?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is 971760649 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) 2\/7 (b) -2\/5 (c) 0.5 (d) 0 (e) 0.218\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) -42 (b) 0.09 (c) 2 (d) 1\/5 (e) -1.5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Put 25, 3, -3\/11, -8149\/4 in increasing order.\nAnswer: -8149\/4, -3\/11, 3, 25","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 2\/3? (a) -6\/7 (b) -14 (c) -0.4 (d) -3 (e) -21\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let h(w) = -w**2 + 5*w - 4. Let t be h(2). Find the second derivative of 25*x + 10*x**t - 22*x**2 - 10*x wrt x.\nAnswer: -24","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -209 - 2*f - 208 + 406 as z + k*f and give z.\nAnswer: -11","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -20537, -21072, -21607?\nAnswer: -22142","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -11*d = -1042 + 393. Calculate the remainder when d is divided by 8.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 64*k = 79*k - 555. Let a = -1991 + 2138. Calculate the remainder when a is divided by k.\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 328 and 12.\nAnswer: 984","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Add -3 and 1540.163051.\nAnswer: 1537.163051","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is 2449519 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is 658860 + -4?\nAnswer: 658857","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let z(c) = -6*c**2. Let i(g) be the second derivative of -g**5\/60 - 19*g**2\/2 - 15*g. Let n(u) be the first derivative of i(u). Give n(z(b)).\nAnswer: -36*b**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -693, -1384, -2075, -2766?\nAnswer: -3457","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let d be 45\/(65\/(-6) + 10). What is the closest to 9 in -4, 2\/3, d?\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -4857 + 7184. List the prime factors of a.\nAnswer: 13, 179","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*p - p = 292. What is the tens digit of p?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1139700 a multiple of 45?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 2*r + 0*r - r + (-2 - 1 + 2)*(-3*r - 2*r + 4*r) - r + 3*r + 19*r to d*r + s and give d.\nAnswer: 23","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 1 in -2\/5, 146, -5?\nAnswer: -2\/5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (10\/(-3))\/(2\/(-3)). Let h = 0.2043 - 0.4043. What is the second biggest value in h, -0.5, y?\nAnswer: h","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let -g**5\/2 - 11*g**4 - 9*g**3 + 34*g**2 + 107*g\/2 + 21 = 0. Calculate g.\nAnswer: -21, -1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is 1195856393 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 3.2 - 3. Suppose -55*y = -34*y. Suppose -15*p - 23 - 142 = y. Which is the closest to p? (a) k (b) 1 (c) 0\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 74582831 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Expand -2*r**4 + 4*r**4 - 4*r**4 + (4 + 2*r**2 - 4)*(-r**2 - r**2 + 4*r**2) + (-2*r + r + 3*r)*(-2*r**3 + 6*r**3 - 3*r**3).\nAnswer: 4*r**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-2620)\/(-524))\/((-390)\/4)?\nAnswer: -2\/39","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*c - 2*c = -3*t + 13, -2*t = -3*c - 9. Find b, given that -b - b**4 - t*b**3 + 6*b**4 + 9*b**4 + 4*b**2 - b**5 - 10*b**4 = 0.\nAnswer: 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(1900)*-2 - (sqrt(342)\/sqrt(6))\/sqrt(3).\nAnswer: -21*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve -414*d + 419*d + 87 = -9*u, -8*d - 3*u - 105 = 0 for d.\nAnswer: -12","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (h**(5\/2)*h)**(-9)\/(((h\/(h*h**(-1\/16))*h)\/h)\/(h**(3\/2)*h*h)) assuming h is positive.\nAnswer: h**(-449\/16)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 14 - 14. Suppose -5*v - 6 + 21 = h. Is (3 - v) + -3 - -56 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(y) = y**2 - 7*y - 4*y + 8*y + 2 + y. What is j(5)?\nAnswer: 17","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(y) be the second derivative of 145*y**4\/3 + 1075*y**3\/6 - 205*y. Find the second derivative of r(b) wrt b.\nAnswer: 1160","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -2\/5? (a) -4 (b) 9 (c) -3\/7 (d) -3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:55 AM and 2:49 AM?\nAnswer: 54","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let s(h) = -4*h**3 + 3*h**2 + 8*h + 3. Let m(u) = -11*u**3 + 8*u**2 + 23*u + 8. Suppose 0 = 2*q + 4, -4*v - 78*q + 30 = -77*q. What is v*s(d) - 3*m(d)?\nAnswer: d**3 - 5*d","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 25 - 18. Let q(w) = i - 7 - 3*w. Let z(l) = 2*l**2 + 2*l**2 - 5*l**2. Calculate z(q(f)).\nAnswer: -9*f**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let t be -10 + -11 - (-550)\/5. Calculate the highest common divisor of t and 20381.\nAnswer: 89","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(m) = -1338*m**3 - 3*m**2 + 12*m - 3. Let l be a(7). What is l rounded to the nearest ten thousand?\nAnswer: -460000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (0 + 0 + 1)*(-2*j - 2 + 2) + j + 3*j - 6*j + (-j - 1 + 1)*(3 + 10 - 12) to the form o*j + l and give o.\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -552871*m + 3008607 wrt m?\nAnswer: -552871","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*b + 2 + 2 = 0. Suppose 2*f + 0*x - 12 = -2*x, -b*f - 6 = -4*x. Suppose -3 + f - 2*y - 2*y**3 - 4*y**2 + 0 = 0. Calculate y.\nAnswer: -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: -141 (base 9) to base 2\nAnswer: -1110110","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0.22 in -11, -18\/7, 4?\nAnswer: -18\/7","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -0.3 and -790.25041?\nAnswer: 237.075123","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -934*b - 5365948 + 5365948 to l + s*b and give s.\nAnswer: -934","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2020*f + 21 = -2023*f. What is the closest to 0 in 1, 2\/7, f, 2?\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*n - 71*o - 31 = -69*o, -5*n + 28 = -o for n.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {l: 1, d: 2, h: 2}. What is prob of picking 1 d and 1 l?\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: -2*3\/18*24\/28\nAnswer: -2\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(u) be the second derivative of u**4\/4 - 3*u**2\/2 + 4*u. Solve l(n) = 0 for n.\nAnswer: -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(w) = w**3 - 4*w**2 + 7*w. Let r be c(5). Suppose 4*j + r = 9*j. Does 3 divide j?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(b) = 20*b**2 - b. Determine c(1).\nAnswer: 19","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let n(c) = 2*c + 9. Calculate the remainder when 15 is divided by n(-3).\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 962 + -579. Calculate the remainder when x is divided by 32.\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 15*t + 15 = -30 for t.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: 27+-0.11\nAnswer: 26.89","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 84365401\/270 + -312465. Calculate the common denominator of 103\/315 and a.\nAnswer: 1890","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -40155*g = q - 40151*g - 1, -1 = -q + 6*g for q.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 26*l - 2856 = -230. Calculate the highest common factor of 1 and l.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify i*i*i*i**12*i*i*i**(-14) assuming i is positive.\nAnswer: i**3","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is 5593043 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 1\/4 in 0.2, 4\/95, -0.8, 0.054, -13?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is 274469359 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*y = -5*i + 46, 73 = 4*y + 5*i + 1. Solve 4*n - f + y = 0, 13 = -3*n - 0*f + 4*f for n.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (7*(-1)\/(-28))\/(3 - -8 - 2560\/232)?\nAnswer: -29\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Express -5*z - 4*z**2 + z**2 + 4*z + z**4 - z**2 in the form j*z + q + c*z**3 + p*z**4 + u*z**2 and give u.\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let f(p) = p**3 + 22*p**2 - 53*p - 7. Let d be f(-24). Suppose -793 = -3*l + d. What are the prime factors of l?\nAnswer: 2, 151","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 128 = 2*t + 4*q, -10*t - 362 = -15*t - 3*q. Calculate the least common multiple of t and 266.\nAnswer: 532","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 59\/40 and -31\/44.\nAnswer: 440","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let o(i) be the third derivative of i**7\/280 - i**6\/60 - i**5\/48 + i**4\/16 + 126*i**2. Factor o(z).\nAnswer: z*(z - 3)*(z + 1)*(3*z - 2)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 28537 is divided by 961?\nAnswer: 668","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of p**4 + 144*p**3 - 726*p?\nAnswer: 12*p**2 + 864*p","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is -1 + -43 + 51 + 2 + -26 + 7?\nAnswer: -10","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let w(q) = 7*q**2 + 5*q + 2. Suppose 10*k + 57 - 17 = 0. Let h(c) = -9*c**2 - 5*c - 3. Let j(n) = k*w(n) - 3*h(n). Calculate j(-5).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 13485.06 - 13485. Sort 2\/9, -7.8, 0.1, 0.3, f in decreasing order.\nAnswer: 0.3, 2\/9, 0.1, f, -7.8","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -0.1193761, -0.4, 118\/3 in increasing order.\nAnswer: -0.4, -0.1193761, 118\/3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 17132, 34251, 51354, 68435, 85488?\nAnswer: 102507","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*v = y - 1723 + 1712, 9 = -5*y + v for y.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let i(s) = -26*s - 146. Calculate the remainder when 135 is divided by i(-6).\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 764*o = 417*o + 402*o - 275 for o.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is -12618\/7 at least as big as -1802?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Find w such that 33\/4*w**3 + 0 + 3\/4*w**5 - 9\/2*w**4 - 9\/2*w**2 + 0*w = 0.\nAnswer: 0, 1, 2, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -3 less than -2771553?\nAnswer: -2771550","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 164 = -4*h - 4*l, -2*h - 8 = -l + 86. Let r be (-11135)\/(-136) - (-2 - h\/24). Put 2, r, 4, -4 in descending order.\nAnswer: r, 4, 2, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -3, 3, -5, 43, 19 in descending order.\nAnswer: 43, 19, 3, -3, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let i(g) = 687*g**2 + 8*g + 22. Let l be i(-4). Suppose p + 18*j = 13*j + l, 0 = 3*p + 2*j - 32907. Is p prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -589 - -589.3. What is the biggest value in -1.1, -4, x, 0.15, 5?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -39, -79, -121, -165?\nAnswer: -211","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 25418820?\nAnswer: 2, 3, 5, 7, 60521","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 721 is divided by 33.\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*g + 12 - 30 = -2*k, -2*k + 22 = 2*g for k.\nAnswer: 15","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is 7061 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 783?\nAnswer: 3, 29","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 a and 1 p when two letters picked without replacement from dadpadpd?\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let i(z) = 2*z - 3. Let t be i(3). Suppose 0 = -v + 4*h + 24, t*v - 152 = -0*h - 4*h. Calculate the lowest common multiple of 8 and v.\nAnswer: 88","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of 93, -98, -605, -1584, -3191, -5582, -8913, -13340?\n\"Answer: -26*c**3 - 2*c**2 - 3*c + 124","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let h(i) = -3*i. Let z = 10 + -14. What is the units digit of h(z)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1488620079?\nAnswer: 3, 17, 3243181","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let d be ((-576)\/80)\/18 - ((-34)\/10 - 1). Let p(a) = 10*a**2 - 4*a - 1. Let j(b) = 11*b**2 - 3*b. What is d*j(r) - 3*p(r)?\nAnswer: 14*r**2 + 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 17*d - 9 = -d + 9*d. Let b = -34\/9 - -28\/9. What is the nearest to b in -0.4, d, 0.04?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 1509 + 5*x**2 - 10*x**2 - 49.\nAnswer: -5*x**2 + 1460","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (1 + -5 - 0)\/(1 + -3). Let n(x) = 24*x**c - 56*x**2 + 42*x**2. Let r(u) = -2*u**2. Determine n(r(s)).\nAnswer: 40*s**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve -13*x = -18*x - 10 for x.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 75 and 1190925?\nAnswer: 75","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (4536\/(-540))\/(13\/(-10) - -1). Suppose k = -4*p - 3*p. Let r(v) = -v**2 - 5*v - 2. Determine r(p).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 207 minutes after 7:55 PM?\nAnswer: 11:22 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Sort -2, -5, -25, 1 in decreasing order.\nAnswer: 1, -2, -5, -25","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let -13*n**3\/6 - 857*n**2\/6 - 799*n\/3 + 64\/3 = 0. Calculate n.\nAnswer: -64, -2, 1\/13","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 58979?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-6)\/51)\/(3\/(-51))?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 2825390 is divided by 1149.\nAnswer: 1148","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -10 + 36 + -2 + -7.\nAnswer: 17","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 371850 is divided by 10991.\nAnswer: 9147","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 1 + sqrt(5) + (sqrt(60)\/(sqrt(12) + 1*sqrt(12)))**2.\nAnswer: sqrt(5) + 9\/4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: 52668 (base 11) to base 3\nAnswer: 10220011112","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose f**2 - 84*f - 7840 = 0. Calculate f.\nAnswer: -56, 140","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence pa when two letters picked without replacement from {p: 1, m: 3, a: 1, v: 2, h: 3, w: 1}?\nAnswer: 1\/110","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 5*(sqrt(396) + 4).\nAnswer: 20 + 30*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -v + 2 = -0. Let w = -0.07 - -0.27. Let c = -7 + 12. What is the third biggest value in v, c, w?\nAnswer: w","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence flv when three letters picked without replacement from {y: 2, i: 1, l: 2, v: 1, f: 4}?\nAnswer: 1\/90","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.053663 rounded to four decimal places?\nAnswer: -0.0537","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*h + 3 = -5. Suppose -l = -0*l + h. Is (l - 0)\/((-2)\/157) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(y) = -6*y + 25. Let l(q) = -q + 5. Let p(x) = 2*g(x) - 11*l(x). What is p(-5)?\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 125 is divided by 6.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let v(w) be the second derivative of -113*w**3\/6 - 1298*w - 3. Let d(z) = -9*z. Give d(v(b)).\nAnswer: 1017*b","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of 617968, 617960, 617946, 617926, 617900, 617868, 617830?\n\"Answer: -3*m**2 + m + 617970","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth root of 18274 to the nearest integer?\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let a(q) = -q**3 + 9*q**2 + 6*q + 51. Let g be a(10). Let l(w) = w**3 - 7*w**2 - 23*w + 23. What is the units digit of l(g)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let -s**4 + 232*s**3 - 1368*s**2 + 2720*s - 1808 = 0. Calculate s.\nAnswer: 2, 226","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 31118947 to the nearest integer?\nAnswer: 5578","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred millions digit of 1572882381?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (-2 - 1)\/(666\/1554). Sort -2, 41, p in ascending order.\nAnswer: p, -2, 41","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred millions digit of 198898835?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: ((-40)\/25*(-13 - 22375\/(-1720)))\/((-9)\/60)\nAnswer: 4\/43","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -1 + 0. Suppose -6*i = 4*i - 9*i. Which is the nearest to i? (a) o (b) 0.5 (c) -2\/3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 94937325?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ge when two letters picked without replacement from {e: 9, r: 1, g: 1, d: 4}?\nAnswer: 3\/70","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify h\/((h*h\/(h*(h*(((h**(-1)*h)\/h)\/h)\/h)\/h)*h*h)\/h)*h*h*h**(4\/3)*h assuming h is positive.\nAnswer: h**(1\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let q be -3*(24\/(-9) + -3). What is the highest common factor of 170 and q?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of (1 - (-226)\/56) + -1 and ((-595)\/(-147) - 4)*(-44 - -50).\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(j) = 10*j - 7. Let i(l) = -29*l + 20. Calculate 8*a(q) + 3*i(q).\nAnswer: -7*q + 4","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 224 + -133. Is (y\/39 + 0 + 1)*6 even?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(c) = c**3 + 47*c**2 + 99*c + 2448. Determine d(-46).\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -84.7334 + -0.0666. What is l rounded to the nearest ten?\nAnswer: -80","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 1380 - 1298. Is 6 a factor of v?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 1*52*(-557)\/(-1114)?\nAnswer: 26","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is -2 + 57876?\nAnswer: 57874","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Divide 202 by 2.\nAnswer: 101","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Express -11*z**2 + 11*z - 3*z**3 - 11*z - 34*z**2 in the form s*z**3 + o*z + i + h*z**2 and give h.\nAnswer: -45","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -0.003 - 1.997. What is the third biggest value in s, 2\/7, 0.4, -4?\nAnswer: s","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w be 3*8\/(-60)*-10. Suppose 4*d + w*u - 1396 = 0, d + 4*u - 72 = 265. Let p = d - 251. What is the units digit of p?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 6*j - 2*j**4 - 4*j - 5*j**4 - j**2 + (-169 + 17*j**2 + 169)*(3*j**2 - 2*j**2 + 0*j**2) + 2*j**4 + 0*j**4 + 0*j**4.\nAnswer: 12*j**4 - j**2 + 2*j","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 98125794?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence uuk when three letters picked without replacement from {s: 1, k: 5, d: 1, u: 2}?\nAnswer: 5\/252","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (o*o*o*o*o\/o**0*o)**(-4\/33)\/(o\/(((o\/(o\/o**(2\/5)))\/o)\/o))**(1\/40)*(o**(-1))**(3\/5)*o*o**(-7)*o**(-8) assuming o is positive.\nAnswer: o**(-33863\/2200)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Expand 3*p**2 - p**2 - 4*p**2 - 2*p**2 + p**2 + 2*p**2 + (p - 3*p + 4*p)*(4*p + 0*p + 0*p).\nAnswer: 7*p**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: (-2042 - -2046) + (9 - -4)\nAnswer: 17","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -4? (a) -0.1 (b) 1\/2 (c) 0.2 (d) 220 (e) -2\/5\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (-38)\/6 + 2\/(-3). Let o = 60\/13 - 315\/26. Is o less than or equal to l?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -3360.1 - -3360. Let r = -4 + 13. Let j = r - 4. Which is greater: a or j?\nAnswer: j","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 178*r**5 + 32769*r**4 + 2388*r + 3283 wrt r?\nAnswer: 3560*r**3 + 393228*r**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in -4, -162, 216, -1\/2?\nAnswer: 216","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Express 2 - 25*t**4 + 9*t**3 + t**4 + 9*t**4 + t**4 - 7*t + 11*t**4 in the form v*t**4 + n*t**3 + b*t + c*t**2 + i and give v.\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 0 or -45293?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let l(r) = 7*r**2. Let t(c) be the first derivative of c**6\/180 + 8*c**3\/3 - 4. Let w(u) be the third derivative of t(u). What is w(l(z))?\nAnswer: 98*z**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between 0 and -0.065194482?\nAnswer: 0.065194482","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Divide 249 by -7.\nAnswer: -249\/7","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-1)\/(-2)*2*(6\/(-42))\/(239\/48517).\nAnswer: -29","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 32*n - 353481 = 31*n - 4*z, 5*z = 4*n - 1413966. Is n a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -fb7 (base 16) in base 12?\nAnswer: -23b3","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from kkkkkkkkkmmkkkkmkk. What is prob of sequence mmm?\nAnswer: 1\/816","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 656793 is divided by 656782?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is 656507520 a multiple of 192?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:01 AM and 10:41 AM?\nAnswer: 520","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:03 AM and 2:44 PM?\nAnswer: 401","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve 511 = -45*p + 151 for p.\nAnswer: -8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*w + 3*r + 3 + 26 = 0, -5*r + 8*r = 6*w + 27 for w.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is -977 + -3?\nAnswer: -980","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0.1? (a) 16.3 (b) 5 (c) 1\/8\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -55*p + 53*p = z - 5089, z = -4*p + 5089. Is 166 a factor of z?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(6) - (sqrt(6)*4 - sqrt(6))*2)\/(((sqrt(2112) - sqrt(33)) + sqrt(33))\/sqrt(11)).\nAnswer: -5*sqrt(2)\/8","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Does 122 divide 21711434?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) -0.014 (b) -1 (c) 3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Are 197 and -3 non-equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*c - 2*p = -47, 3*c = -2*c - 5*p + 50. Suppose -7*n + c*n + 4*z - 1822 = 0, -3*n + 3*z + 2715 = 0. Is n composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 473 minutes after 4:36 PM?\nAnswer: 12:29 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*s - 158 + 42 = -4*m, -2*m = 5*s - 44. Which is smaller: 34 or m?\nAnswer: m","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of 377, 828, 1357, 1970, 2673, 3472?\n\"Answer: i**3 + 33*i**2 + 345*i - 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 39306417 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (-1*(1 + 0))\/((-43)\/258). Let t(l) = -2*l**3 + 5*l**2 - 5*l + 4. Let w(f) = 2*f**3 - 6*f**2 + 6*f - 4. Determine c*t(r) + 5*w(r).\nAnswer: -2*r**3 + 4","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is (20\/805)\/((-66)\/(-231))?\nAnswer: 2\/23","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 8 and 17308768?\nAnswer: 17308768","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 185 and 2826295.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is 734 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let u(q) = -3*q**3 + 5*q**3 - 2 - 2*q**2 - 5*q**2. Let r(l) = -l**2. Let o = 1004 + -633. Let h = o - 372. Determine h*u(n) + 6*r(n).\nAnswer: -2*n**3 + n**2 + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: -11 + (6 - (4 + (9 - 9)))\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -130*q + 138*q = 7392. What are the prime factors of q?\nAnswer: 2, 3, 7, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 38787654901 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -17\/249890 and 49\/18.\nAnswer: 2249010","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Put together -2468 and 0.\nAnswer: -2468","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 6\/((-1)\/(-2)*-21*(-106)\/(-4823)).\nAnswer: -26","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 8499425567 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Express -u - 11 + 75*u - 34*u - 4*u in the form q*u + d and give q.\nAnswer: 36","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let h(l) = 8*l - 25*l + 12*l. Let v(b) = 35*b. Give v(h(k)).\nAnswer: -175*k","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7*y - 6 - 15 = 0. What is the remainder when -5 + (1 - y) + 34 is divided by 9?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 23 or 87\/4?\nAnswer: 23","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Express (-4*d**3 + 4*d**3 - 2*d**3)*(44 + 40 - 116*d - 86) + d**3 - 2*d**4 - d**3 as i*d + p*d**4 + s*d**3 + g*d**2 + f and give p.\nAnswer: 230","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) 2\/3 (b) 3\/7 (c) -3 (d) 0.3\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve -36*y - 70 = -5*c - y - 25, -4*c - 3*y - 26 = 0 for c.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-20)\/(-3))\/(-5)*(-90)\/28*(-17346)\/(-1652).\nAnswer: 45","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*w + 8 = -2. Suppose -6 = -4*r + w*r. Let y(l) = 5 + l**3 - 5*l**2 - 2 + 3*l**r. Let g(m) = -7*m**3 + 9*m**2 - 5. Determine -3*g(i) - 5*y(i).\nAnswer: i**3 - 2*i**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: -153925 divided by -30785\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -1? (a) -2 (b) 3183 (c) 2\/9 (d) -5\/6\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 1 or 160\/842351?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Express -10*m + 1 + 9*m**3 + 9*m - 15*m**3 + (64*m**2 - 64*m**2 - 16*m**3)*(-3 - 4 + 1) - 2*m**3 + 2*m - 2*m as v + g*m**2 + o*m**3 + i*m and give i.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let y be ((-2)\/(-1))\/(2\/4). What is the highest common divisor of y and 8?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0.35*-3.\nAnswer: -1.05","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Put -6, 5, 0.2, 0.9 in ascending order.\nAnswer: -6, 0.2, 0.9, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: 3 + 0 - (-12 + (-15 - -21) - -23)\nAnswer: -14","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let t(q) be the second derivative of -q**5\/20 - q**4\/2 - q**3\/6 - q**2 - 3*q. Let n be t(-6). What is the nearest to -1 in 1\/4, n, 4\/7?\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 7878 and 17550?\nAnswer: 1772550","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Sort 57, 0.2, -24, 4.\nAnswer: -24, 0.2, 4, 57","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is 49953425611 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is 516403 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Express (6*y + 8*y + 2 - 4*y)*(-6*y**2 - 10*y**2 + 2*y**2) as z + t*y**3 + x*y**2 + f*y and give t.\nAnswer: -140","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is 1067 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let t(b) = 73*b**2 - b. Calculate the remainder when 715 is divided by t(1).\nAnswer: 67","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Are 15 and 20 equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 14124189 and 12963?\nAnswer: 2104504161","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 1182 divided by 1?\nAnswer: 1182","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-16 + (15 - -18) - -1) + -2 + -4.\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 3406 + -1457. Is c a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -22312580 rounded to the nearest 1000000?\nAnswer: -22000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: -383*0.65\nAnswer: -248.95","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Work out 372 * -31.8.\nAnswer: -11829.6","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (116\/87)\/((-2)\/45).\nAnswer: -30","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 487 and 3.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Express (-418 + 530 - 337)*(3*n + 2 - 4*n + 2*n) as j*n + x and give x.\nAnswer: -450","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 1332353?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Put 154, -14, 5 in descending order.\nAnswer: 154, 5, -14","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6 = -39*d + 42*d. What is the closest to -1 in d, 0.05, 5?\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -0.57 + 20.97. Let l = 16.4 - h. What is the nearest to 0 in l, -0.5, -2?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-5 + (sqrt(117) - sqrt(117)*1 - sqrt(117))*2 + 1 + sqrt(117) + 0 + -2 + -1*sqrt(117)*6*3*-5)**2.\nAnswer: -3204*sqrt(13) + 926793","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let b(v) = 2*v**2. Let p(f) be the first derivative of 2*f**3\/3 + 1. Give b(p(m)).\nAnswer: 8*m**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.00033874913 rounded to four dps?\nAnswer: -0.0003","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve -57*l = -67*l + 30 for l.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is 96740191 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let z(y) = -6*y + 68. Let p be z(11). Let d(u) = -u**2 - u + 7. Let q be d(0). Find the third derivative of 0*n**p + 6*n**2 + q*n**2 + 9*n**4 - 2*n**2 wrt n.\nAnswer: 216*n","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(x) = x**3 + 4*x**2 + x + 2. Let m be j(-3). Let i be (3 - -16) + 1*(-1 + 0). Suppose 128 = 22*w - i*w. What is the greatest common factor of w and m?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 12 = -3*z + 3. Let o(a) = 18*a**2 + a + 1. Let n be o(z). Suppose 0 = -5*c - 4*w + n, c - 3*c + 3*w = -87. Does 14 divide c?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 6 + -4. Suppose 6*a - 5*a - 2*m + 14 = 0, 3*m = 3. Let v = 14 + a. Calculate the greatest common factor of b and v.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of 7249, 7247, 7245?\n\"Answer: -2*h + 7251","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Convert 8.506671kg to grams.\nAnswer: 8506.671","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Sort 4, 5, -2, 320, 1.\nAnswer: -2, 1, 4, 5, 320","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve -169 = -14*i - 239 - 182 for i.\nAnswer: -18","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from cddddcfccf. What is prob of sequence ff?\nAnswer: 1\/45","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Put -2, 14, -17\/39, -1, 5 in decreasing order.\nAnswer: 14, 5, -17\/39, -1, -2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-100 - 13*g + 100 + (-2*g - 1 + 1)*(0 + 0 - 1) - g + 0 + 0)*(63 + 12 + 71).\nAnswer: -1752*g","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 294389 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -19998.5489 + 19996. Let y = -2.56 - v. What is y rounded to three decimal places?\nAnswer: -0.011","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (o**2 + 0*o + 0*o)*(-41*o - 15*o**2 + 41*o) + (3*o + 0*o - o)*(-1 - o**3 + 1).\nAnswer: -17*o**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let t(c) be the first derivative of 4*c**5\/5 + 19*c**4 + 64*c**3\/3 - 72*c**2 + 6419. Factor t(f).\nAnswer: 4*f*(f - 1)*(f + 2)*(f + 18)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is 10022202222 + 1?\nAnswer: 10022210000","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: a9 (base 14) to base 3\nAnswer: 12112","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 1437, 1427, 1403, 1359, 1289, 1187?\nAnswer: 1047","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 4896 less than -6?\nAnswer: -4902","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*c - 2153*x - 73 = -2155*x, -3*x - 282 = 10*c for c.\nAnswer: -27","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is -7 - -221?\nAnswer: 219","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let k(z) = -14189*z - 2. Let o(g) = 28*g. What is k(o(h))?\nAnswer: -397292*h - 2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between 10726.786 and -0.14?\nAnswer: 10726.926","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 1 or -94\/9763?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ggdg when four letters picked without replacement from {d: 9, g: 3}?\nAnswer: 1\/220","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {j: 7, u: 2}. What is prob of picking 2 u?\nAnswer: 1\/36","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 12712607 (base 9) in base 11?\nAnswer: 35a1025","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 11973 is divided by 74?\nAnswer: 59","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 4020888 is divided by 38.\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let n(d) = d**3 - 10*d + 6*d**2 - 9 - 10*d**2 + 18*d**2. Let i(c) = -c**3 - 15*c**2 + 11*c + 9. Let r(x) = -5*i(x) - 6*n(x). Is r(-10) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -121 = -5*w - 4*t, 2*w + 2*t = 5*t + 53. Let d(q) = q**2 + 13*q + 8. Let x be d(-12). Calculate the remainder when w is divided by 9 + (-4 - (x - -2)).\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 450663261*f - 20702453 wrt f.\nAnswer: 450663261","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 1\/998 - -3985\/6986. Factor 2\/7*h**2 + 0 - d*h.\nAnswer: 2*h*(h - 2)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {c: 4, n: 4, a: 3}. Give prob of sequence na.\nAnswer: 6\/55","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -10? (a) 3\/13 (b) -4 (c) 0.183\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in -1, 4, 0, 0.5, 6, -1900\/3?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 124\/315 + -6\/35. Let g be (-2)\/9 - 2\/72. What is the third smallest value in g, -0.5, x?\nAnswer: x","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence xx when two letters picked without replacement from {b: 6, x: 6}?\nAnswer: 5\/22","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there in four fifteenths of a hour?\nAnswer: 16","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*r - 83 - 193. What is the tens digit of r?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 6*d**2 + 0*d**2 - 2*d**2 + (-1 + 2 - 3)*(d**2 - 2*d**2 - 2*d**2) - 198*d**2 - 25*d**2 + 59*d**2 to the form h*d**2 + o*d + i and give h.\nAnswer: -154","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is 10250\/2257 smaller than 4?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-28*o**3 + 14*o**3 - 13*o**3)*(-1 + o - 2*o + 6*o).\nAnswer: -135*o**4 + 27*o**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let y(w) = -3*w**3 + 12*w**2 + 180*w + 9. Let t be y(10). Solve -10 + t = c - o, 0 = -5*c + 4*o - 8 for c.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -5723 + 5783. Calculate the greatest common divisor of s and 6180.\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 4501651 and 2534?\nAnswer: 1267","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {i: 5, k: 1, z: 2, b: 4, e: 3, h: 5}. Give prob of picking 1 b and 1 z.\nAnswer: 4\/95","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify r*r**2*(r**(7\/5)\/r)\/r*r*r**(-1\/7)*r**(-5\/2) assuming r is positive.\nAnswer: r**(53\/70)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 195 is divided by 94.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence yywy when four letters picked without replacement from wyyywy?\nAnswer: 2\/15","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is 1 - -2524623301?\nAnswer: 2524623302","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 19\/5*y**2 - 7\/5*y**4 - 12\/5 - 3\/5*y**3 + 4\/5*y - 1\/5*y**5 = 0. What is y?\nAnswer: -6, -2, -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(c) = -10*c + 18. Let t(b) = b - 1. Let o(z) = -12*t(z) - u(z). Calculate o(5).\nAnswer: -16","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: 55a (base 13) to base 8\nAnswer: 1630","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Expand (4*y - 4*y**2 - 4*y)*(1 - 1 - 2*y) + 7*y**2 - 7*y**2 - 5*y**3 + (-1 + 1 - 2)*(-4 - 2 + 5)*(2*y**3 + 5*y**3 - 12*y**3).\nAnswer: -7*y**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*f + 79 = 295. Suppose f + 73 = n. Is n a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -11527832 divided by -606728.\nAnswer: 19","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0 + 2*z + 0 - 3 + 2*z**2)*(10*z**2 + 3*z**2 - 4*z**2).\nAnswer: 18*z**4 + 18*z**3 - 27*z**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Express (132*u - 132*u - 4*u**2)*(2*u + 1 - 1)*(0 + 2 - 1) in the form r + j*u**3 + k*u + t*u**2 and give j.\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Does -1746098024\/7 = -249442574?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 l and 1 a when two letters picked without replacement from afljfpjfflslpaflalf?\nAnswer: 5\/57","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 337 + -127. Suppose -w = -4*g - 3*g. Let j be 6\/(0 + g) - 3\/13. Are j and -1 equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*r + 6 = m, -2*m - m + 10 = -4*r. Suppose -4*k - 5*w = -12 - 30, 3*k = -m*w + 28. Calculate the highest common factor of k and 12.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is -2102220 + -11?\nAnswer: -2102231","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(567)*3*2 + 5 + sqrt(567) + -2 - (-2 + ((sqrt(567) - (sqrt(567) + 0) - sqrt(567)) + -4 - sqrt(567)))*2)**2.\nAnswer: 2970*sqrt(7) + 68832","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*t**2\/11 - 144*t\/11 - 2592\/11.\nAnswer: -2*(t + 36)**2\/11","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose g - 2*h - 32 = 0, -5*g + 12*h = 8*h - 148. Let k be 4*(-8 - (-245)\/g). Sort -1, -35, k.\nAnswer: -35, -1, k","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 144 = 53*v - 15 for v.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) 4\/7 (b) 3.45 (c) -24\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve -13 = -66*y + 53 for y.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let w(h) = -11*h - 13*h - 2 + 11. What is the tens digit of w(-13)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from uuvvvvuvvvuvvvvvvvv. Give prob of picking 2 u.\nAnswer: 2\/57","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: How many meters are there in 33889.26cm?\nAnswer: 338.8926","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Divide 316 by 10.\nAnswer: 158\/5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (-38787735)\/154 + (4 - 0). Let y = 2817357\/11 + u. Let b = y - 4257. Calculate the common denominator of 17\/8 and b.\nAnswer: 88","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -35 + 166. Let s = 186 - r. What is the highest common divisor of 11 and s?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1199170 is divided by 25.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let l(q) be the first derivative of q**4\/4 + 19*q**3\/3 + 9*q**2 + 5*q + 22. Let s be l(-18). Solve -9 = 5*c + 2*n, -5*c + s*n - 9 = 21 for c.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 3 k and 1 o when four letters picked without replacement from ikioohkkikiiii.\nAnswer: 8\/1001","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-2)\/(-14)*(18 - 16)?\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:16 AM and 7:17 PM?\nAnswer: 661","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -0.1 in -0.2, -0.03, 11?\nAnswer: -0.03","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:41 AM and 1:48 PM?\nAnswer: 127","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 22696025 to the nearest integer?\nAnswer: 283","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let b(l) = 2*l**3 + 68*l**2 - 36*l - 461. What is b(-34)?\nAnswer: 763","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let k(a) = a**3 - 7*a**2 - 1096*a + 422. Let m be k(-30). Factor 65*f**3 - 910*f + 490 + 705\/2*f**m + 5\/2*f**4.\nAnswer: 5*(f - 1)**2*(f + 14)**2\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of -23, -24, -41, -86, -171?\n\"Answer: -2*m**3 + 4*m**2 + m - 26","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let a be 2\/(-5) - (-154)\/35. Suppose 8 = a*f + k, 4*k - 8 = -6*f + 2*f. Let q(w) = -w**2 - 10*w. Let z be q(-10). Sort z, f, 0.5.\nAnswer: z, 0.5, f","meta":{"dup_signals":{},"source":"comparison__sort_composed_test"},"subset":"dm_maths"} +{"text":"Question: Let n = 638.9 + -639.2. Sort 6\/11, 0.027, 0.2, -2\/11, n in ascending order.\nAnswer: n, -2\/11, 0.027, 0.2, 6\/11","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is -65a - -1bd?\nAnswer: -47b","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let d(k) be the first derivative of -4939*k**3\/3 + 154*k**2 + 5737. Find the second derivative of d(p) wrt p.\nAnswer: -9878","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many hours are there in five eighths of a week?\nAnswer: 105","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence kkpk when four letters picked without replacement from kkkkokkkokkkkpko?\nAnswer: 11\/364","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 1218 and 1044.\nAnswer: 7308","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let s(r) = -1 + 2*r - 4 + r**2 + 6 - 3. Let l = 2 - 7. Let n(h) = h**2 + 2*h - 2. Calculate l*s(o) + 6*n(o).\nAnswer: o**2 + 2*o - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*q**2 + 7424*q - 22254.\nAnswer: -2*(q - 3709)*(q - 3)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Round 1217 to the nearest one hundred.\nAnswer: 1200","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Round -645774 to the nearest 10000.\nAnswer: -650000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 142 = -15*x + 232. What is the greatest common divisor of x and 1362?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is -12 - -24407573?\nAnswer: 24407561","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -3 + (2*(sqrt(605) - sqrt(605)*-3)*-5 - (sqrt(720) + 1 + sqrt(720) - (0 + sqrt(25)\/sqrt(5)))).\nAnswer: -463*sqrt(5) - 4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -214 = -2*v + 2*w, 0 = -0*w + 5*w - 15. Suppose 51 + 108 = 3*n. Let h = v - n. Is h a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n be 6\/(-48)*10*(8 + -4). Let b(w) = -96*w - 18. List the prime factors of b(n).\nAnswer: 2, 3, 7, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is 2737 - 1365?\nAnswer: 1352","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 486315227 to the power of 1\/10, to the nearest integer?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 58 - -250. Suppose 5*c - 7 = -2*r + g, 0 = 2*c + 4*r - 126. Suppose 5*u = 4*f + 216 - 200, -5*f + 9 = u. What is the lowest common multiple of f and c?\nAnswer: 63","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of -748, -488, 306, 1922, 4648?\n\"Answer: 48*q**3 - 21*q**2 - 13*q - 762","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 885311 to the power of 1\/9, to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 24 - 22. Which is the smallest value? (a) f (b) 4 (c) 0\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 12*a*f**2 + 92*f**2 wrt a?\nAnswer: 12*f**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from xbffyfb. What is prob of picking 1 f and 1 b?\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve -40 = -5*s + 20*w, -9*s + 1 = -7*s - 3*w for s.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 34302245 to the power of 1\/3, to the nearest integer?\nAnswer: 325","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from sssssssjnsjsjj. Give prob of picking 1 n and 2 s.\nAnswer: 9\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2\/3*p**2 - 1\/3*p**3 + 0*p + 0 = 0 for p.\nAnswer: 0, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(n) be the first derivative of n**4\/18 + 338*n**3\/27 + 166*n**2\/3 + 3881. Suppose s(y) = 0. Calculate y.\nAnswer: -166, -3, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -682 + 1130. What is the smallest common multiple of r and 12?\nAnswer: 1344","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 77730 - -14029. Is n a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 46 divided by -46.\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:34 AM and 6:53 AM?\nAnswer: 139","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 4360.\nAnswer: 2, 5, 109","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is 3132 a multiple of 18?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is -b533 - -3?\nAnswer: -b530","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 2 - ((-7 - -10) + -5)?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let d(v) = -10*v**3 + v**2. Suppose 5*g + 2*r + 10 = 0, -5*r + 0 + 2 = -g. Let z be (1 - (g - -2))\/(-1). What is the tens digit of d(z)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*m + 72 = -3*j, 4*m - j - 52 - 112 = 0. What is the remainder when 206 is divided by m?\nAnswer: 38","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.000016113601 to 7 dps.\nAnswer: 0.0000161","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -2 + 4*((sqrt(432) - (sqrt(432) + (sqrt(432)*-4*5 - sqrt(432)))) + sqrt(432) + sqrt(432)).\nAnswer: -2 + 1104*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let k(p) = -327*p**2 - 19*p + 2. Let u(q) = -2*q**2 - 6*q. Calculate -k(l) + 4*u(l).\nAnswer: 319*l**2 - 5*l - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Divide 57502188 by -1179.\nAnswer: -48772","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 10 and 250?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Round 2417 to the nearest 1000.\nAnswer: 2000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Expand (19 - 8 + 12 + (-1 + 5 + 1)*(-1 + 4 - 1))*((0 - 1 + 2)*(2*b + 3*b - 3*b) + b + 5 - 5).\nAnswer: 99*b","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -0.09 - -0.16. Let c = p + -0.0701. What is c rounded to 3 dps?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8*j + 3235 = 3259. Factor 8\/13*k - 2\/13*k**j + 2\/13*k**2 - 8\/13.\nAnswer: -2*(k - 2)*(k - 1)*(k + 2)\/13","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 163 bigger than 1480\/9?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth root of 654288584 to the nearest integer?\nAnswer: 58","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Sort 16, 97, -5, 1 in decreasing order.\nAnswer: 97, 16, 1, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*s = u + 3*u - 9761, 4*s + 5*u - 7816 = 0. What is the thousands digit of s?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 48 + -40. Suppose 3*y = -2 + r. Let h(j) = -j**3 - 3*j**2 + 4*j - 2. What is h(y)?\nAnswer: -14","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -h**3 - h**2*m**3 - 135*h**2 - 3*h*m**3 + 2*h*m**2 - 4*m**3 + 2*m**2 wrt h.\nAnswer: -6*h - 2*m**3 - 270","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:35 AM and 3:15 PM?\nAnswer: 400","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: 85 (base 10) to base 6\nAnswer: 221","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -143\/12432 and -79\/60384?\nAnswer: 422688","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: 100010111 (base 2) to base 9\nAnswer: 340","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1611941435?\nAnswer: 5, 13, 1907623","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.8893663 kilograms in grams?\nAnswer: 889.3663","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let p(j) = 2*j**3 - 6*j + 6. Let l(z) = z**3 - 5*z + 5. Let o(r) = -r**3 - 8*r**2 - 12*r + 16. Let s be o(-6). Let n = s - 21. Calculate n*p(c) + 6*l(c).\nAnswer: -4*c**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: -1.18*-82061\nAnswer: 96831.98","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = m + 3*q - 44 - 83, 0 = -5*q - 15. Calculate the remainder when m is divided by 36.\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*y + 2*b - 15 = -3*y, 0 = -5*b. Suppose 5*r = -3*f - 11 - 5, -y*r - 3 = 4*f. Suppose 0 = -f*l + 4*l - 5. What is the units digit of l?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in -2\/3, 19169, -3, -2, 5, 3?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth biggest value in -0.1, -0.2, 3, -685, 5, -0.5, 0.021?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*g**3\/2 - 81*g**2\/2 + 333*g = 0 for g.\nAnswer: -111\/5, 0, 6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -26? (a) 1\/4 (b) 0 (c) -365.7 (d) -2\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Express -1086 + 2*q + 3*q**2 - q**3 + 1085 + 13*q**4 - 4*q**2 as p + a*q**2 + x*q**4 + y*q + t*q**3 and give x.\nAnswer: 13","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 23.7 + -16.7. Let z = 3.96 - -0.04. What is the third smallest value in z, 1, q?\nAnswer: q","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of 136, 152, 184, 238, 320, 436, 592?\n\"Answer: f**3 + 2*f**2 + 3*f + 130","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -63\/113 + 37366\/339. Let x = 111 - o. Let g = -670 - -670.1. Which is bigger: g or x?\nAnswer: x","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -24*l - 3705 = 171*l for l.\nAnswer: -19","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 1325 and 166657175?\nAnswer: 1325","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let f(c) = -2*c**2 - 4573*c - 267173. What is f(-60)?\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let g(h) = 103*h**3 + 18*h**2 + 56*h - 952. Is g(13) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j be -1 + (-14)\/10 + 4\/10. Put 0, 3, j in increasing order.\nAnswer: j, 0, 3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -6 - -14. Let h be (42\/4)\/((-6)\/a). Let y = -7 - h. What are the prime factors of y?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -0.32 + -51.68. Let r = s + 52.5. Which is the second smallest value? (a) r (b) 3\/2 (c) 13\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (-30)\/(-8) - 5\/20*-1. Suppose x*b + 53 = 3*q, -b = q + 2*b - 9. Does 8 divide q?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Total of 0.2 and 30935.\nAnswer: 30935.2","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 2214603 is divided by 1107293?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:38 PM and 8:28 PM?\nAnswer: 50","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -936*c - 288*c + 2329 = 779*c - 3680. Determine w, given that -24 - 26\/3*w**2 - 2\/3*w**c - 80\/3*w = 0.\nAnswer: -9, -2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 4*g**3 - 11516*g**2 - 255060*g - 661428.\nAnswer: 4*(g - 2901)*(g + 3)*(g + 19)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve -70598*z + 3*g - 17 = -70602*z, 199 = 28*z + 5*g for z.\nAnswer: 8","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -320 + 334. Let k = 13.87 - f. What is the nearest to 0.2 in -4, k, 4\/5?\nAnswer: k","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) 2 (b) -2 (c) 1 (d) 17\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1679634078.\nAnswer: 2, 3, 71, 73, 54011","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 107520948 is divided by 17.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*t - 39 = 5*y - t, t = 4*y + 40. Let v = -7 - y. Suppose -2*h - 64 = -2*b, -4*h - v = 4. What is the common denominator of 77\/6 and b?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 193920836?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 89 is divided by 7?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -1538 + 1444. Which is the second biggest value? (a) z (b) 1\/2 (c) -8\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify u**(-15)\/u**(5\/8) assuming u is positive.\nAnswer: u**(-125\/8)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let q(v) = -2*v**3 + 3*v**2 + 2*v + 3. Let b(n) = -n**3 - 5*n**2 + 7*n + 8. Let u be b(-5). Let s = u - -33. Suppose 0 = 5*d - 3*d - s. Determine q(d).\nAnswer: -18","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -1 + 2*o**3 + 1 + (1 + 2*o - 1)*(0*o - o**2 + 0*o) + (-7*o - 9 + 9)*(-14*o**2 + 2*o**2 - 4*o**2) as j*o + z*o**3 + x*o**2 + q and give z.\nAnswer: 112","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: ((-22)\/132*(-9849)\/67)\/((-1)\/(-4)*2)\nAnswer: 49","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {w: 5, g: 3, f: 6, u: 1, e: 5}. Give prob of picking 2 f and 2 g.\nAnswer: 3\/323","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -22212 + 22211.961404. What is c rounded to 4 dps?\nAnswer: -0.0386","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 14659403599 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.00219575743 to three dps.\nAnswer: 0.002","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is 79802959 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 36*k**4 + 9*k**4 - 8*k**4 + 76*k - 42*k**4 - 125*k**3 + 275*k**2 - 270 + 49*k = 0. Calculate k.\nAnswer: -27, -1, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(m) = m**3 + 2*m + 448. What are the prime factors of r(0)?\nAnswer: 2, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 1 (base 11) to base 10.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is -5 - (6 + -10 + -2)?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-825)\/22)\/(-6 + 7 + (-20)\/8)?\nAnswer: 25","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((h\/((h\/(h\/(h**12*h*h)))\/h))\/h*h)**2*(h*h**(-16\/9)\/h*h)**(-17\/7) assuming h is positive.\nAnswer: h**(-199\/9)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is -16b0 (base 14) in base 3?\nAnswer: -12120220","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 19 or -40?\nAnswer: 19","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 45 + -94. Let o = q + 48.99999908. What is o rounded to seven dps?\nAnswer: -0.0000009","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(i) = -71*i**3 + i**2 - 1. Let j be x(1). Let s = j + 76. Suppose -5*p = -3*f - 1042, -s*f - 909 - 141 = -5*p. What is the hundreds digit of p?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 4480 and 3710?\nAnswer: 70","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Put together -21.3 and 0.00869.\nAnswer: -21.29131","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let f(l) = 14*l + 5. Let c(k) = -7 - 23*k - 19*k + 46*k - 25*k. Give 5*c(m) + 7*f(m).\nAnswer: -7*m","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Work out 4 * -0.179.\nAnswer: -0.716","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let b(i) = 10*i - 1. Let x(h) = -64*h**2 - 11*h - 11. Let p(f) = -12*f**2 - 2*f - 2. Let m(s) = 11*p(s) - 2*x(s). Give m(b(l)).\nAnswer: -400*l**2 + 80*l - 4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 85373720 and 2686?\nAnswer: 158","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5 = -4*v + 25. Suppose v*j + 0 = 10. Suppose 0 = -n + 4, -12 - 8 = -4*b - j*n. Solve -4*y = 5*u - 41, 3*y - 23 = -b*u + y for u.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -15.9 + 15.8. What is the closest to n in 3, 17, -2\/7?\nAnswer: -2\/7","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 2*w**2 - 2*w**2 + 2*w**4 + (3 - 3 + 2)*(-10*w + 12*w + 14*w)*(1 + 2*w**3 - 1) + 1577*w**2 - 39*w**4 - 1577*w**2.\nAnswer: 27*w**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 273 greater than or equal to 1093\/4?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 1? (a) -5 (b) 686 (c) 3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(1900)*-1 + 1.\nAnswer: -10*sqrt(19) + 1","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let p(q) be the second derivative of -3\/2*q**2 + 0 - 1\/20*q**5 + 5\/6*q**4 - 40*q - 1\/15*q**6 + 0*q**3. What is the third derivative of p(d) wrt d?\nAnswer: -48*d - 6","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (7\/(-14))\/((-2)\/44). What is the derivative of -1 + s + 2*r - 3 + 3*r wrt r?\nAnswer: 5","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 6272722163 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 1*sqrt(1584) + ((sqrt(1100) + 4 + sqrt(1100))**2 - sqrt(11)).\nAnswer: 171*sqrt(11) + 4416","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 203 minutes after 9:16 AM?\nAnswer: 12:39 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*w - w + 35 = 0. Which is bigger: w or 15\/2?\nAnswer: 15\/2","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -19\/37635 and 11\/1170?\nAnswer: 225810","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 3152846 - 15837077\/5. Let a = u - -14647. Let g = -77 + a. What is the nearest to 2\/5 in -2\/5, g, 5?\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(v) be the second derivative of -v**6\/120 + 7*v**5\/60 + v**4\/12 - v**3\/3 + v**2 - 3*v. Let n(x) be the first derivative of p(x). Is n(7) a multiple of 6?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1.59390975 rounded to 1 dp?\nAnswer: 1.6","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*j + 6*k - 13 = -23, -2 = j - 4*k. Which is the nearest to 11? (a) j (b) -0.3 (c) -5\/2 (d) 7\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -4\/153 <= -1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*v - 4*s - 10 = 0, -204*v + 224*v + 62 = -2*s for v.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -3*-0.19.\nAnswer: 0.57","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Total of 121743.97329 and -45.5.\nAnswer: 121698.47329","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:28 AM and 3:42 PM?\nAnswer: 254","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the billions digit of 1466016961?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-36)\/6*(-20)\/(-24).\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 18*b + 119 = 197 + 30 for b.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let a(q) = 9*q + 36. Let y be a(-4). Suppose -3*z = 4*u - 4*z - 124, 2*z = y. Calculate the greatest common factor of u and 837.\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 26768 is divided by 23.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 872, 1724, 2576?\nAnswer: 3428","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -a + 17 = -3*j, 1 + 8 = 2*a - j. Suppose -209 = -2*k - 5*q, 6*q - a*q = -3*k + 303. What is the units digit of k?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 33281 is divided by 18?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -0.4556 - -0.47441. What is u rounded to three decimal places?\nAnswer: 0.019","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*r = -u + 54 + 46, u = -3*r + 124. Find the second derivative of -6*p + 37 + 3*p + u*p**2 + 31 + 2*p wrt p.\nAnswer: 230","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -61\/1116368 and -1\/291778?\nAnswer: 25676464","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -3*(-6*(sqrt(19) + (((3 + sqrt(19))*-3)**2 - sqrt(19))) - (sqrt(475)*-3 + sqrt(475) - sqrt(19) - (-3*sqrt(209))\/sqrt(11))**2).\nAnswer: 972*sqrt(19) + 8184","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let c(d) = -4*d**2 - 7*d - 3. Suppose 5*s - 14 = -4. Let i(l) = l**2 + 2*l + 1. Let y(f) = s*c(f) + 7*i(f). What is x in y(x) = 0?\nAnswer: -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 17310200.\nAnswer: 2, 5, 41, 2111","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 5 + (-2*(5 + 1*(sqrt(252) + 0 + (sqrt(252) - (4 + sqrt(252))))))**2.\nAnswer: 48*sqrt(7) + 1017","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 14*1*14\/(-539).\nAnswer: -4\/11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Product of 0.185 and 25.751.\nAnswer: 4.763935","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: (-2 + 10 + 1 - 70) + 0\nAnswer: -61","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose x + 45 - 48 = 0. What is the tens digit of (x + -2)\/(1\/237)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(i) be the third derivative of 0*i - 1\/90*i**5 + 1\/9*i**3 - 8*i**2 + 0 + 1\/180*i**6 - 1\/36*i**4. Let c(k) = 0. What is k?\nAnswer: -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4 = 91*k - 90*k. Solve 0*z + z - 11 = -k*q, z = -5*q + 15 for z.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(j) be the first derivative of -j**3\/3 - 5*j**2\/2 - 6*j + 1. Let f(v) = 2*v + 2. Let h be f(-3). Calculate q(h).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 647 + -280. Is c prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 521925376?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-6)\/(-27)*-3*18*(-31)\/558?\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 6194655 to the power of 1\/2, to the nearest integer?\nAnswer: 2489","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*u = 5*p + 2, -11 = 4*u - 19 for p.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is 77668272629 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve 12 = -2*b + 3*s, -5*b + s = -10*b - 13 for b.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let t(m) be the second derivative of m**4\/12 - 7*m**3\/6 - 3*m**2 + 4*m. Calculate t(7).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out -1.2976 * 0.5.\nAnswer: -0.6488","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 0.0184 + -250.0184. Let d = v + 248.13. Let u = 0.13 - d. Which is the biggest value? (a) u (b) 3 (c) 0\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*j - 17 = -7. Let l be 13*(-3)\/(-2)*-8. Let h be (l\/(-10))\/(j\/15). What is the greatest common divisor of 13 and h?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 25 - 21. Find the second derivative of -6*n + n - 12*n**g + 3*n**4 wrt n.\nAnswer: -108*n**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 113 - 58. Is w a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(p) = -p**3 - 10*p**2 - 10*p - 3. Let c be x(-9). Let s = c + -6. Solve s*j = 3*j - 12 for j.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 2502897 is divided by 30?\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: How many hours are there in 591745.5 days?\nAnswer: 14201892","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 41 + 12*t - 14*t**2 - 24*t - 41 to r*t**2 + x + o*t and give o.\nAnswer: -12","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let g(k) = -4*k - 5. Let l be g(-5). Suppose 2*a = -2*n + l - 5, 4 = 4*n. Sort -5, a, 3 in descending order.\nAnswer: a, 3, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 471*x**5 - 4961*x**4 - 177453*x - 8 wrt x?\nAnswer: 9420*x**3 - 59532*x**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-5 + (sqrt(1539) - (sqrt(1539) + -1 + sqrt(1539) + sqrt(1539))))**2 + (6*-1*sqrt(76))\/sqrt(4).\nAnswer: 138*sqrt(19) + 6172","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: How many years are there in thirteen eighths of a millennium?\nAnswer: 1625","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 21318 - 21296. Suppose -2*t - 3*t + 31 = 2*u, 0 = -5*u - 10. What is the remainder when x is divided by t?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -25, 0.5, -3, -3\/4 in descending order.\nAnswer: 0.5, -3\/4, -3, -25","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is 831 + 25?\nAnswer: 856","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 2859654 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: Let y(o) = -2*o**3 - 2861*o**2 + 8*o + 4. Let j(r) = 3*r**2 + 2*r + 1. Determine 4*j(f) - y(f).\nAnswer: 2*f**3 + 2873*f**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is 21920071 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let a(o) = -781 - 5*o + 777 + 4*o + 2*o. Determine a(7).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 2125844 a multiple of 644?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 52 and 5?\nAnswer: 260","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: (-6*1\/(-14))\/(-1)\nAnswer: -3\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is -4560 + 349?\nAnswer: -4212","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let w(l) = -l**3 + 8*l**2 + 14*l + 22. What is w(-4)?\nAnswer: 158","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*q - 186 + 56 = 0. Suppose 2*t + q = n, 2*n = 3*n + 5*t - 40. Calculate the remainder when n is divided by 4\/((-10)\/(-4) - 2).\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 23194379917 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*w - 0*w + 84. Let l be (-4)\/(-1 + (-20)\/w). Calculate the remainder when 1*l*45\/30 is divided by 12.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 6, 2686, -2 in descending order.\nAnswer: 2686, 6, -2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -1? (a) -25 (b) -5 (c) 5 (d) -3\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*k = -x + 5, k + 2*x + x = 15. Sort 4, -1, k in descending order.\nAnswer: 4, k, -1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 3219470 is divided by 103.\nAnswer: 102","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 3 e and 1 h when four letters picked without replacement from hellhlehhheeheelheeh?\nAnswer: 448\/4845","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 0.288 + 0.112. What is the second biggest value in -0.1, 3\/10, z?\nAnswer: 3\/10","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -k**4\/2 - 11983931*k**3 + 119839327*k**2\/2 - 95871466*k + 47935734 = 0 for k.\nAnswer: -23967867, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*q - 7 = -8*q + z, 0 = 4*q + z - 7 for q.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -121 + 121. Suppose -5*v + 10*w - 11*w + 225 = 0, -3*w = z. Which is smaller: 44 or v?\nAnswer: 44","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {d: 2, l: 16}. Give prob of picking 2 l.\nAnswer: 40\/51","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -52*q + 27623660 - 27623140 for q.\nAnswer: 10","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: 28850 divided by 5\nAnswer: 5770","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 556 is divided by 184.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 31\/((-434)\/(-56)) - 8?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(c) = -c**2 - 11*c + 3. What is the tens digit of q(-6)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 2176 and 1972.\nAnswer: 68","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is -10349 != -10436?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let k(x) be the first derivative of -x**4\/24 + 89*x**3\/3 - 7921*x**2 + 2819876*x\/3 - 7195. Determine y so that k(y) = 0.\nAnswer: 178","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 9 + -13. Which is the closest to -0.1? (a) -0.1 (b) -0.4 (c) s\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((120\/80)\/((-5)\/15))\/((-3)\/10).\nAnswer: 15","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 25.175 + -24.855. What is the nearest to -13 in w, -5\/4, -5?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the seventh root of 51804180 to the nearest integer?\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let l be -8*((-11)\/(-4) - 3). Suppose -4*a = -4*r - 64, -4*a + a = -l*r - 46. Calculate the remainder when a is divided by 3.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*c + u + 38 = -31, 3*c = 2*u + 47. Calculate the greatest common factor of 13 and c.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-6)\/(-8)*4\/7.\nAnswer: 3\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4 = -0*u - 4*u. Let p = 26 + u. What is the units digit of p?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*i + 554 = 2*i + 4*z, -2*z + 552 = 2*i. What is the greatest common divisor of 55 and i?\nAnswer: 55","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 22980 divided by -6.\nAnswer: -3830","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: 306*-1.607\nAnswer: -491.742","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: -1403 (base 5) to base 10\nAnswer: -228","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -4798, -3977, -2564, -523, 2182?\nAnswer: 5587","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 6726 + -6719. Solve -8*s = -6*s - 3*f + h, -20 = -4*f for s.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*m + 3*m + w + 4, 4 = 4*w. Suppose 4 = -5*h + 2*h - 2*g, -3*g = -3. What is the units digit of 6\/10 + h\/m?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of -2656, -5316, -7978, -10642, -13308?\n\"Answer: -l**2 - 2657*l + 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let l(u) = -u**3 + 843*u**2 - 830*u - 9984. What is l(842)?\nAnswer: 120","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is 68033 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let l(w) = 1. Let a(t) = -t - 1. Let u(q) = q**3 - 3*q**2 + 3*q - 1. Let o be u(2). Let b = -1 - -3. Let z(s) = b*a(s) + o*l(s). Determine z(-1).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: 2.24 times 0.072\nAnswer: 0.16128","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 3450 and 5136360?\nAnswer: 690","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Convert 950.488 millilitres to litres.\nAnswer: 0.950488","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (-267)\/(-171) + (-9 - (-440)\/60). Sort t, -0.5, 0.1.\nAnswer: -0.5, t, 0.1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 108175.\nAnswer: 5, 4327","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between 1.07 and 0.072?\nAnswer: 0.998","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let f(g) = -7*g - 35. Let j be f(-5). Solve -11 = -3*l - j*r + 5*r, 2*l - 7 = 3*r for l.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 11*q - 2*a + 22 = 11*q, -62397*q + 2*a = -62399*q + 12 for q.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Expand (83 + 740*o**3 - 1488*o**3 + 729*o**3)*(o**2 + 2*o - 2*o) + 4 + 2*o**5 - 4 + (-o + 6*o - 4*o)*(-2*o**4 + 3*o**3 - 3*o**3).\nAnswer: -19*o**5 + 83*o**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*j - 2*y - 86840 = -86845, -2*j - y - 1 = 0 for j.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (2*(1*(sqrt(1377) + -1) - -1*(sqrt(1377) + -1)) + 4 + 4)**2 + 3.\nAnswer: 288*sqrt(17) + 22051","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -120 - -134. Let f = i - -114. What is the greatest common factor of f and 16?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.4 less than 159214?\nAnswer: 159213.6","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Total of -0.04 and -9483198317.\nAnswer: -9483198317.04","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is (-2227352)\/65586 + 68\/2?\nAnswer: 2\/51","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -1043? (a) -1\/5 (b) -3 (c) 0.6 (d) -2 (e) 5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*z = -z. Let t = -3.47 - 1.53. Is t less than z?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(q) = 5*q**2 - 21*q - 2. Let a be n(10). Suppose 5*u - 4*h - 478 = 0, -3*u - h + 3*h = -a. Let d = 171 - u. What is the tens digit of d?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 5 - (21 - 19 - 10\/(-3))?\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 27565168 to the power of 1\/2, to the nearest integer?\nAnswer: 5250","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*y + b - 10, 16 = 4*y + 3*b - 4. Suppose s = 3 - y, s + 167 = 5*a. Is a a multiple of 4?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 9*m = -5*b + 14*m - 30, -2*b + 3*m - 15 = 0. Let s be (35\/(-21))\/((-2)\/(-6)). Sort s, 8, b in descending order.\nAnswer: 8, b, s","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -545\/336 - -9\/112. Calculate the common denominator of 13\/(247\/2) - (-7)\/((-41895)\/(-5089)) and f.\nAnswer: 360","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 1 or -3\/2?\nAnswer: -3\/2","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (4 + sqrt(567)*2 + sqrt(567))**2.\nAnswer: 216*sqrt(7) + 5119","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is -59 (base 10) in base 15?\nAnswer: -3e","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -342, -665, -990, -1323, -1670?\nAnswer: -2037","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (54\/441 - 9084\/(-245))\/((-4)\/(-10)).\nAnswer: 93","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in 2\/13, -1\/4, -9, -2\/13?\nAnswer: -2\/13","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0.04? (a) -2\/5 (b) -299 (c) 24 (d) -2 (e) 4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: How many micrometers are there in 5\/4 of a millimeter?\nAnswer: 1250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose r - 2*t + 4*t = -2, -3*t = -2*r + 3. Suppose r = -5*u + 4*u + 7. Solve -5*f = -u*f + 10 for f.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 16 - 14. Suppose -2*q = l*q - 12. Suppose -x - 5 + 1 = 0, -q*s + 4*x + 58 = 0. What is the units digit of s?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0.1 in 4, 2\/35, -2\/5, 0?\nAnswer: 2\/35","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: ((-1472)\/1840)\/((-1)\/(-5))\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 502436948?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Expand 1888 - 1888 + 73*x**2 + (-4 + 1 + 1)*(x**2 + 2*x**2 + 0*x**2) + 3*x**2 + 3*x**2 - 3*x**2.\nAnswer: 70*x**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0 in -2\/15, -1\/4, -2, 0.3?\nAnswer: -2\/15","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -0.79 - -0.41. Let l = u + -0.12. What is the closest to 1\/3 in l, 3, -1?\nAnswer: l","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 2*(-465)\/18*219\/365?\nAnswer: -31","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 96.68587nm in meters?\nAnswer: 0.00000009668587","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 6441442 is divided by 1269?\nAnswer: 1267","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 691 minutes after 2:23 PM?\nAnswer: 1:54 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 9238 to the power of 1\/2, to the nearest integer?\nAnswer: 96","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -6360 + 6361. What is the nearest to z in -1, 0.1, -79?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (0 - (-6)\/4)*(-3)\/(-54). Let y(f) be the second derivative of 0*f**2 + 5\/6*f**3 + 0 - 3*f - g*f**4. What is the second derivative of y(k) wrt k?\nAnswer: -2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -m = -3*m. Suppose 0 = z + 2*z. Let a = 6 - z. Solve m = 5*n - 9 - a for n.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: 3111 (base 4) to base 9\nAnswer: 256","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of 48271, 48283, 48307, 48349, 48415, 48511, 48643, 48817?\n\"Answer: w**3 + 5*w + 48265","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -78*z**5 + 3924*z**4 - 12267309*z**2 wrt z?\nAnswer: -4680*z**2 + 94176*z","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 27468 and 41420?\nAnswer: 2609460","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -21 = -19*a + 74. Suppose u - m + 23 = 65, -237 = -a*u - 4*m. What is the lowest common multiple of u and 15?\nAnswer: 45","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 53.81207 kilograms to nanograms.\nAnswer: 53812070000000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 15*p = 14*p - 2*o - 1, 10 = 2*p - 2*o. Solve p*y - 4*j + 9 = 0, -2*y - y - 9 = 3*j for y.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c be ((-21)\/77*-11)\/(3\/2). Solve -3*w + 7 = -s + c, 2*w + 5 = -s for s.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -643*n - 205*n = -386*n + 385*n - 92323 for n.\nAnswer: 109","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: 448c8 (base 14) to base 16\nAnswer: 289f0","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is -3303 - 343123?\nAnswer: -401431","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (1 - 47)\/((-30)\/9). Let m = t + -209\/10. Let z = 3\/4 - 4. What is the common denominator of z and m?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 129225201 and 5439?\nAnswer: 129225201","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*u + 36 = 3*w - 387, -4*u - 36 = 0. Let q = 5 + 9. What is the remainder when w is divided by q?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 295299281 is divided by 81?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -395, -408, -449, -512, -591, -680, -773?\nAnswer: -864","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Express -h - h**4 + 9*h**2 + 6*h**2 - 13*h**2 - 5*h**3 as g*h**2 + y + v*h**3 + j*h**4 + t*h and give j.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 4*h**4*n - 3*h**4 + 11*h**3*n - 8*h**2*n + 2*h**2 wrt h?\nAnswer: 96*h*n - 72*h + 66*n","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Factor g**4 - 326*g**3 + 1597*g**2 + 2616*g - 15408.\nAnswer: (g - 321)*(g - 4)**2*(g + 3)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is 267532783 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let p(d) = d**3 + 6*d**2 - 5*d - 1. Let h be p(-7). Let i be 13\/5 - 6\/h. Solve -2 - i = l for l.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of 29, 62, 95, 128?\n\"Answer: 33*b - 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -2 + 7. Suppose -15 = -b*c - i, -2*c + 4*i = -6*c + 12. Let h(g) = 3 - g - c. Let w(k) = -4*k**2. Determine h(w(r)).\nAnswer: 4*r**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (-3)\/((-3)\/(-5)) - -4. Let d be a\/(-5) + 196\/70. Solve -f + 13 = 4*h, -4 = d*f + 5 for h.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -1 in -1, -2, -87, 1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Put -12, -677, -117 in descending order.\nAnswer: -12, -117, -677","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 65 and 2?\nAnswer: 130","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*z + 4*n, 0 = 4*z - 2*n - 0*n - 6. Find the third derivative of 8*i**z - 9*i**3 - 3*i**4 + 3*i**3 + 6*i**3 wrt i.\nAnswer: -72*i","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(n) = -4*n**2 + 15*n + 9. Let y = 4 + -1. Let d(t) = -2*t**2 + t. Let p be d(y). Let j = -21 - p. Let x(l) = 2*l**2 - 8*l - 5. Give j*h(s) - 11*x(s).\nAnswer: 2*s**2 - 2*s + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let x(h) = 5*h - 4. Let z(c) = 11*c - 9. Suppose 0*q - 20 = -5*q. Let y(u) = q*z(u) - 9*x(u). Let m(j) = -3*j. Let v = -95 + 91. What is v*y(t) + m(t)?\nAnswer: t","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of -11729, -23478, -35245, -47030, -58833, -70654?\n\"Answer: -9*l**2 - 11722*l + 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 6039037 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 76? (a) 0.1 (b) 90 (c) -2 (d) 0.5 (e) -6\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -375*a - 37*a - 479*a - 24948 for a.\nAnswer: -28","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve -45*v = 273 - 1079 - 814 for v.\nAnswer: 36","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -0.1 in 3, 158, 2\/19?\nAnswer: 2\/19","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of ((-40)\/(-50))\/(1\/5).\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 140 is divided by (-69)\/2*(0 - 8\/6).\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 0.7 - -0.3. Let s = -1.6404 - -1.6404. Which is the biggest value? (a) 43 (b) s (c) -0.1 (d) m\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 17.66923 to 1 dp.\nAnswer: 17.7","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Factor 0 + 3\/8*w**2 - 3\/8*w.\nAnswer: 3*w*(w - 1)\/8","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 37 + -7. What is the tens digit of p?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -1372 divided by -14?\nAnswer: 98","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*t - p = -2*t - 9, 0 = t + 4*p + 8 for t.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ox when two letters picked without replacement from ooooooxoxooo.\nAnswer: 5\/33","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 11a7262 (base 11) in base 8?\nAnswer: 7757311","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (b**(9\/7)*b)\/b**(35\/6)*(b**(-6\/13)*b)\/b*b**(12\/19)\/b assuming b is positive.\nAnswer: b**(-45413\/10374)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve -196\/3*j**2 + 124\/3*j**4 - 28*j**3 + 8 + 80\/3*j**5 - 44\/3*j = 0.\nAnswer: -1, 1\/4, 6\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(u) = -2 + 22*u - 38*u + 16 + u**2 - 10 + 13*u. Give t(5).\nAnswer: 14","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -0.01 - 0.02. Let s(l) = l - 9. Let n be s(9). Let v = -20.7 - -21. What is the third biggest value in v, n, k?\nAnswer: k","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 294\/56*36\/27.\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-4 + sqrt(9)\/((sqrt(36) + sqrt(36)*2)\/sqrt(12)) - (-2 + (sqrt(3) - (sqrt(3)*2)**2*2)*3)) + -2.\nAnswer: -8*sqrt(3)\/3 + 68","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 170*3\/3618 - 254\/2286.\nAnswer: 2\/67","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -80 = 6*t + 14*t for t.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) -0.2 (b) 6 (c) -4 (d) -1.4\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in -0.11, -1\/11, -65, 66?\nAnswer: -65","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 2580676?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 7303723 is divided by 515?\nAnswer: 508","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 1184?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:54 PM and 4:45 PM?\nAnswer: 231","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -29 - f**2 - 34 + 729*f - 29 + 92 + 1247*f**3 wrt f?\nAnswer: 7482","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_test"},"subset":"dm_maths"} +{"text":"Question: What is the ninth root of 9376 to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is (20\/8)\/((-250)\/200)?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 8622 a multiple of 20?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -27*f + 664376*f**2 - 18*f - 664391*f**2 + 17*f.\nAnswer: -15*f**2 - 28*f","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Work out 125 * -98.\nAnswer: -12250","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Put 151, 5710, -2 in ascending order.\nAnswer: -2, 151, 5710","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2406*j - 3034 + 3034.\nAnswer: 2406*j","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*d - h + 1259 + 101, 671 = d + 5*h. Is d a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -2 in -1\/5, 0.044, -1\/3, 5.7?\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 94 + -10. Suppose 3*i = -i + o. Calculate the greatest common factor of i and 7.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 0 + sqrt(12) + 2 + -1 - ((sqrt(150) - sqrt(6) - sqrt(6))*2)\/(sqrt(2) + -5*sqrt(8) - sqrt(2)).\nAnswer: 1 + 13*sqrt(3)\/5","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:44 PM and 2:11 PM?\nAnswer: 27","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-41781 + 41781 - 65*l)*(2*l + 2 - 4 + 3 - 2*l + 5*l - 4*l + (-3 + 1 + 0)*(0*l - 3*l + 2*l)) to c*l**2 + j*l + o and give j.\nAnswer: -65","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 98555760?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (-3463722)\/(-11) + 2\/11. Let i = -441884 + x. What is i rounded to the nearest 10000?\nAnswer: -130000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of -1135, -2282, -3429, -4576?\n\"Answer: -1147*j + 12","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 834410.\nAnswer: 2, 5, 181, 461","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 1761.463 milliseconds in nanoseconds?\nAnswer: 1761463000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 1.60023 rounded to one decimal place?\nAnswer: 1.6","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth root of 54735 to the nearest integer?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Put 0.4, -4, 0, 224, 5 in descending order.\nAnswer: 224, 5, 0.4, 0, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let v(b) = 6*b**2 + 33*b - 2. Let d be v(-6). Let s(r) = 18*r - 81. Calculate the remainder when s(d) is divided by 11.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 977811, 977812, 977813, 977814?\nAnswer: 977815","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose h = -55 + 79. Solve -5*a = 3*d - 0*d - 24, 5*d = -3*a + h for a.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -9 = 3*a + 3*v, 2*a - 490 + 500 = -4*v for a.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*r = c + 43, -5*r = -4*c + 228 - 389 + 210 for c.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is 1 - -96150?\nAnswer: 96151","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 457352 and 896?\nAnswer: 56","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*b + 71825 = 7*b + 15*b. What is the units digit of b?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 46 + -20 - (31 + -19)?\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 25956169357 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (96\/20 + 3)*5. Let s(o) = -43 + 24*o - 35*o - a*o. Let b(i) = 51*i + 43. Let l(t) = 3*b(t) + 4*s(t). What is the derivative of l(f) wrt f?\nAnswer: -47","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -2\/169 or -0.8?\nAnswer: -2\/169","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -3*b**4*l + 31635*b**4 + b**3*l - 3*b**3 - b**2*l + 23852 wrt b.\nAnswer: -72*b*l + 759240*b + 6*l - 18","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Expand (k**2 - 5*k**2 + 2*k**2 - 3*k**2 + 5*k**2 - k**2 + (2 + k - 2)*(3*k + 0*k - 5*k))*(-2*k**3 - 2*k + 2*k) + 88 - 88 + 5*k**5.\nAnswer: 11*k**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let t(h) be the first derivative of -7*h**2\/2 + 2*h - 7. Differentiate t(n) wrt n.\nAnswer: -7","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 0 or -270\/27521?\nAnswer: -270\/27521","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 1056?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 1802*m**4 + 39*m**2 - m + 170182 wrt m?\nAnswer: 7208*m**3 + 78*m - 1","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*o + s + 8 = 0, -5 = -o - 2*s - 0. Differentiate 3*x**3 - o + 4 - 6*x**3 with respect to x.\nAnswer: -9*x**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -6.7834383 to 1 dp.\nAnswer: -6.8","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 20631.\nAnswer: 3, 13, 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is -3 - 44c84?\nAnswer: -44c87","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 309*(-5)\/(-135)*-3*1266\/422?\nAnswer: -103","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -6299 + 6621. What is the units digit of b?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -15? (a) -2\/23 (b) 4 (c) -0.3 (d) 10.03\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Round 143000 to the nearest 10000.\nAnswer: 140000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 19*d = 16*d + 9. Suppose -370 + 115 = -d*h. List the prime factors of h.\nAnswer: 5, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: -2140.2 times -8\nAnswer: 17121.6","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Convert 5936.495mg to kilograms.\nAnswer: 0.005936495","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let s(f) = f**3 + 14*f**2 + 14*f + 4. Determine s(-13).\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -8 + 10. Suppose 0 = w - 0 - f. Suppose 12 = a + 2*s, w*a + 5*s + 4 - 25 = 0. What is the remainder when 62 is divided by a?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((a**(-5)*a**(1\/3))\/((a\/a**(-1\/6))\/a**(-3)))**22 assuming a is positive.\nAnswer: a**(-583\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3959 = -6*c - 2*c + 2393. Is c a multiple of 19?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 1483 or 1473?\nAnswer: 1473","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -0.1 in 9\/67, -1, 3, 5?\nAnswer: 9\/67","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is 18 < 12?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve 8*l = 4*w + 40, -58*l - 2*w + 22 = -55*l for l.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {t: 1, e: 9, q: 3, y: 2, c: 3}. Give prob of picking 1 y and 1 e.\nAnswer: 2\/17","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 2485081 and 1472.\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((s**(-1)*s)\/(s**1\/s)*(s\/s**(1\/2)*s)\/(s\/(s**(1\/8)\/s)))**(9\/8))**(-13\/5) assuming s is positive.\nAnswer: s**(351\/320)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 39546 and 3549.\nAnswer: 507","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Determine w, given that 2*w**5 - 13*w**4 + 30*w**3 - 32*w**2 + 16*w - 3 = 0.\nAnswer: 1\/2, 1, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 0.03 + -0.03. What is the second smallest value in 6, k, -0.2?\nAnswer: k","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2 = -19*u + 17*u. Let r be (-3)\/(-9) + 115\/15. Calculate the greatest common factor of u and r.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 239 + -955\/4. Which is the fourth smallest value? (a) h (b) -2 (c) 0 (d) -62\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -11 - -10.5. Let r(l) = -l**2 + 7*l - 3. Let q be r(6). Let w = 0.39913 + -3.39913. What is the nearest to w in m, q, -1\/6?\nAnswer: m","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(a) = -a**3 - 10*a**2 + 4*a + 33. Determine w(-12).\nAnswer: 273","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let g(j) = -428*j**2. Let f(t) = -79*t - 1. Give f(g(y)).\nAnswer: 33812*y**2 - 1","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is 1109096971 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (4 - 6)\/(-1)*-47. Calculate the common denominator of 63\/2 and t\/(-40) - (-4 - -7).\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: (24\/6)\/(2442\/(-33))\nAnswer: -2\/37","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -42*c + 342 = -33*c. What is the remainder when c is divided by 3?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*z - 4*j + 8 = 0, -5*z + 16 + 3 = j. Let l = 22 - z. Calculate the lowest common multiple of l and 2.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*l + 30 = -3*p + 147, p - 37 = -l. What are the prime factors of p?\nAnswer: 2, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 151437.\nAnswer: 3, 11, 13, 353","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let d(i) = -11*i + 16. Suppose 5*z - m + 35 = 0, 3*z + m + 0*m = -29. Is d(z) a multiple of 26?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 10 = 3*y - 8. Let q(i) = -10 + i**3 + 5*i - 6*i**2 + 3 - 3*i. What are the prime factors of q(y)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from xxmmmcddmmmccmxm. Give prob of picking 1 c and 3 x.\nAnswer: 3\/1820","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1708177079.\nAnswer: 7, 2213, 110269","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let c(r) = r - 3. Let l(x) = -4. Let d(g) = g**3 + 7*g**2 + 14*g - 3. Let u be d(-3). Let o be -1*(u\/3)\/(-3)*3. Calculate o*c(w) + 2*l(w).\nAnswer: -3*w + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*s - g = 203, -5 = s - g + 95. Let y = s - -166. What is the tens digit of y?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*u + 10 = -2*u. Suppose -5*p + u = -4*l, 4*l = 5*p + l - 15. Suppose -i - 30 = -p*i. Calculate the least common multiple of 11 and i.\nAnswer: 66","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 4*z - 2*v + 26, 3*z + 14 = 15*v - 8*v for z.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is eight thirds of a hour in seconds?\nAnswer: 9600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -517, -525, -545, -583, -645, -737?\nAnswer: -865","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 1 divided by -481667?\nAnswer: -1\/481667","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence hqz when three letters picked without replacement from qqhzq.\nAnswer: 1\/20","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 1? (a) 1 (b) 0.03 (c) -266587\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (-12)\/9 - 7\/(-3). Let r be (2\/i)\/(-3 - 1). Which is the nearest to 0? (a) 1 (b) -2\/11 (c) r\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(102) - (sqrt(102) - -1*sqrt(102)*-4))\/(sqrt(150)*6))**2.\nAnswer: 68\/225","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is 18298 < 18298?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -1093 + 1088. Which is smaller: m or 134?\nAnswer: m","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in -1\/2, -5498, 0.2?\nAnswer: -1\/2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let f(x) = -143*x - 9483. Determine f(-78).\nAnswer: 1671","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is 24 + -164?\nAnswer: -140","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Does 44 divide 1452?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (7380\/120 + -61)\/(0 + 10).\nAnswer: 1\/20","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -6133262*b*l**2 + 2*b*l - 3640230*b wrt l?\nAnswer: -12266524*b","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: -11 - (-11 - (4 - 6))\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let d(k) = 23*k + 26. Let c be d(10). Suppose -3*f + 56 + c = 0. Let t = f - 35. What are the prime factors of t?\nAnswer: 3, 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 15*x + 4*n = 16*x - 9, 5*x - 2*n + 9 = 0. Sort 3\/4, 2, x, 9\/11 in increasing order.\nAnswer: x, 3\/4, 9\/11, 2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -143.94662 - 0.08338. Let z = 143 + k. Let w = z - -0.03. Is w at least as big as 0.1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(x) = -x**2 + 4*x + 3. Let k be u(4). Let o(s) = -s - s + k*s. Let l(t) = 2*t**2. What is l(o(b))?\nAnswer: 2*b**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 598 - 448. Is 15 a factor of z?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 375566465.\nAnswer: 5, 17, 37, 119417","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is -3482 (base 9) in base 7?\nAnswer: -10352","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 4333?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve -715698 = -6*w - 716268 for w.\nAnswer: -95","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let z(g) = 108*g - 21. Let k be z(5). Let v = k - -973. Let f = v - -409. Is f a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: 0.103234*20.62\nAnswer: 2.12868508","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -o - 1, -4*s - o - 4*o = -19. Calculate the least common multiple of s and 20.\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g be ((-63)\/(-6))\/((-12)\/(-16) + 0). Let k = -6 - g. Let f = 36 - k. What are the prime factors of f?\nAnswer: 2, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -22 - -24. What is the derivative of -8*c**2 + 19*c**2 + 58 - 10*c**x - 8*c**2 wrt c?\nAnswer: -14*c","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 9, -677, -1363, -2049?\nAnswer: -2735","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 327 minutes before 12:44 AM?\nAnswer: 7:17 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -7 + 13. Let a = j + -11. Suppose -1 = -8*w - 9. Sort -3, w, a.\nAnswer: a, -3, w","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 514 minutes after 8:56 AM?\nAnswer: 5:30 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 85975780 and 4?\nAnswer: 85975780","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence xx when two letters picked without replacement from xxxs.\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is 1065 + -39196?\nAnswer: -38131","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: How many tonnes are there in 362.7394 nanograms?\nAnswer: 0.0000000000003627394","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*k**3\/3 - 36230*k**2\/9 + 48298*k\/9 - 12074\/9 = 0 for k.\nAnswer: 1\/3, 1, 6037","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 10*(-15)\/(-100)*6.\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of 1163, 5648, 13139, 23648, 37187, 53768, 73403?\n\"Answer: 2*j**3 + 1491*j**2 - 2*j - 328","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose k - 118 - 64 = 3*d, -5*k - 3*d + 964 = 0. Is k a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 4412579 take away 213311771?\nAnswer: -208899192","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 12676.\nAnswer: 2, 3169","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Find u such that 2*u**2\/11 - 32*u\/11 + 96\/11 = 0.\nAnswer: 4, 12","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let m(w) = w + 14. Let g(q) = q + 13. Suppose 0*c - 24 = -4*c. Let t(n) = c*g(n) - 5*m(n). Determine t(-6).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -82 - -91. Calculate the least common multiple of 6 and q.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 1137 + 1118 + 3*t**2 - 2191 + 17*t**2 to y + d*t**2 + u*t and give d.\nAnswer: 20","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Expand (r + 3*r - 3*r)*(2 - 2 + 1) + 0*r - r - r + (2 + 2 - 2)*(0 + 0 - r) - 5*r + 4*r + 7*r.\nAnswer: 3*r","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -10258556, -20517098, -30775640, -41034182, -51292724, -61551266?\nAnswer: -71809808","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let g(d) = -d**3 - 2*d**2 - d - 1. Let f be g(-2). Let j be f\/3*(3 - 3)\/2. Sort 5, -8, j.\nAnswer: -8, j, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: (4 - (3 + -3 - 3)) + -3\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -37 + 10. Let w be 2 - ((-6)\/(-9))\/((-7)\/d). What is the third smallest value in w, -0.01, 2?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 2466 (base 7) in base 6?\nAnswer: 4150","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 g and 1 x when two letters picked without replacement from {o: 2, g: 3, d: 2, w: 1, x: 2, a: 2}?\nAnswer: 1\/11","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is (0 - 1) + 3 - (-6946 - -1) 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 -11*s**3 + 5*s**2 - 2*s - 3*s - 12*s**2 - 39*s**3 wrt s?\nAnswer: -300","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(f) = f**3 - 20*f**2 + 18*f + 31. Let i(z) = -z**3 + 4*z**2 + 19. Let w be i(0). Let g be y(w). Solve v = -3*v - g for v.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -o**3 - 6137*o**2 + 185041*o + 191177 = 0 for o.\nAnswer: -6167, -1, 31","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.32811534 rounded to 4 dps?\nAnswer: 0.3281","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) 3\/4 (b) -17 (c) 0.5 (d) 0.8 (e) 0.49 (f) 1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let g(j) = 279186*j. Let x be g(3). Suppose v = 8091 + 309467. Let t = x - v. What is t rounded to the nearest 100000?\nAnswer: 500000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 667 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 540*j**3 + 4 - 2 + 691*j**3.\nAnswer: 1231*j**3 + 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from ogxxkoxgxgxgk. Give prob of sequence gkog.\nAnswer: 2\/715","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*s - 3904 = -i, 3*i = -3*s - 1630 + 3970. What is the lowest common multiple of 568 and s?\nAnswer: 6248","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:49 PM and 8:42 PM?\nAnswer: 293","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) 9 (b) -0.4 (c) -1\/5 (d) 5 (e) -201\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is 30 a factor of 238?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -1902 - -1922. Suppose 18 - a = h, 5*m = h + 12. Factor 45\/2*b**m - 21*b - 27\/4*b**3 + 6.\nAnswer: -3*(b - 2)*(3*b - 2)**2\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: -143.8475 * -0.64\nAnswer: 92.0624","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:40 AM and 10:47 AM?\nAnswer: 367","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let n(o) = -1. Let t(w) = 4 + 0*w + 0 - 4 - 2 - 5*w. Give -2*n(y) + t(y).\nAnswer: -5*y","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 5 divided by 799?\nAnswer: 5\/799","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:23 AM and 2:39 PM?\nAnswer: 496","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -15350 = -5*a - 19*q + 16*q, 0 = q + 5. Suppose 655 - a = -6*k. Is k a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many nanometers are there in seven eighths of a micrometer?\nAnswer: 875","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 639 = -4*g + 5*i, 2*g = 5*i - 161 - 156. What are the prime factors of 0 + (-2 - -6) - g?\nAnswer: 3, 5, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*v + 3*l - 3 = -2*v, 4*l = 2*v + 10. Suppose -v*u = -14 - 7. Suppose -2*f = 4*i - 12, 4*f = u*i - 3*i - 24. Solve -i*h - 3 = -h for h.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 8290 by 1658.\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 10179 is divided by 767.\nAnswer: 208","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 6369 and 386?\nAnswer: 193","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Expand 2*d**2 - 8*d**2 + d**2 - 4*d**2 + d**2 - 2*d**2 + (13*d - 2*d - 4*d)*(-5*d + 0*d + 3*d).\nAnswer: -24*d**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Round -1.563614 to one dp.\nAnswer: -1.6","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 127\/3 + -42. What is the fourth smallest value in -5, 0.3, a, -0.1?\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 7315105 to the power of 1\/3, to the nearest integer?\nAnswer: 194","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*u - 25 = -5. Let f be 9*(-1)\/(-2)*-2. Sort 2, f, -3, u in decreasing order.\nAnswer: u, 2, -3, f","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n be 0\/1*-1*1. Let o be (-43)\/(-9) + (-12)\/(-54). Suppose -o*t = -2*t - 6. Solve n = u + t*u - 9 for u.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 2 divide 93?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let b(z) = -z - 6. Determine b(-5).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -65*a + 16 - 16 + (a + a - 3*a)*(3 - 1 - 1)*(4 - 3 - 2)*(1 - 3 + 4) to r + m*a and give m.\nAnswer: -63","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 30\/31 and (54\/(-1504))\/(-1)*(130 + -126)?\nAnswer: 5828","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -14*((-11)\/(-1) - (-3848)\/(-364))?\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 3*(2 + (((sqrt(17) - 2*sqrt(153)) + sqrt(17) - (sqrt(102)\/(2*sqrt(6)))**2) + (sqrt(1377) + -2)**2*4)*6).\nAnswer: -2664*sqrt(17) + 198723\/2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve -35 = 5*g - 4*d, -16 + 1 = -3*d for g.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from owooowowooowowoo. What is prob of sequence ww?\nAnswer: 1\/12","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 4850 and 2175.\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 23 - 18 = -a, -a + 7 = 2*s. Suppose 0*h**2 + 0*h**4 + 15\/2*h**3 + 0 - s*h - 3\/2*h**5 = 0. Calculate h.\nAnswer: -2, -1, 0, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 1288 and 42090.\nAnswer: 1178520","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 100\/(-6)*(7254\/(-130))\/31?\nAnswer: 30","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is 10 + -10112022120001200?\nAnswer: -10112022120001120","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -248811, -497613, -746411, -995205, -1243995, -1492781, -1741563?\nAnswer: -1990341","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 135*i - 2076 - 9*i - 86*i + 124*i wrt i?\nAnswer: 164","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -160*d**4*j**3 + 2*d**4*j - 3*d**2*j**3 - 2*d**2*j - 16*j**2 wrt d.\nAnswer: -3840*d*j**3 + 48*d*j","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = g + 6*g - 15*g. Let n(q) be the first derivative of 0*q**4 + 0*q**2 + 2*q + g*q**3 + 1 + 4\/5*q**5. What is the first derivative of n(t) wrt t?\nAnswer: 16*t**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(f) = 105*f - 524. Let r be s(5). Let u = 1614\/47 + -85621\/2585. Let x = u - 1\/55. Which is bigger: r or x?\nAnswer: x","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth biggest value? (a) 1\/6 (b) -1.37 (c) -2\/39 (d) -11 (e) 5 (f) -0.01 (g) -5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*o + 5*r + 3677 = 0, -5*o + 4*o + 1225 = -r. Suppose 46*f = 28*f + o. What is the highest common divisor of f and 204?\nAnswer: 68","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 17 + -11. Let o be ((-3)\/(-6))\/(1\/(-6)). Let w(h) = -6*h - 2. Calculate the smallest common multiple of w(o) and r.\nAnswer: 48","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 100 is divided by 14.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let d(q) be the second derivative of -q**5\/20 + 121*q**2 - 121*q. Let v(y) be the first derivative of d(y). Let m(x) = 24*x + 2. Give v(m(u)).\nAnswer: -1728*u**2 - 288*u - 12","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -72727\/17 - -4275. Calculate the common denominator of m and -33.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 3457?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((2*sqrt(114)*3 + sqrt(114))*-1)\/(sqrt(60)\/(sqrt(10) - (sqrt(10) - 2*sqrt(10)*6))))**2.\nAnswer: 134064","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -c - 25 = -22. Let p be 0\/(-4 - (-5 - c)) + 0. Which is smaller: -1\/12 or p?\nAnswer: -1\/12","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*p + 16 = 12, 4*p = 8*a - p + 4*p + 41 for a.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -2457.589 - -2457.2089909. Let n = 0.46 + -0.08. Let q = l + n. Round q to 6 dps.\nAnswer: -0.000009","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (9 - (-356)\/(-28)) + 4. Let a = -3.99 - 0.01. Let q = -2 - -2.2. What is the closest to 0 in w, a, q?\nAnswer: q","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 2 + -9 + 2 - -1.\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 18282 and 2.\nAnswer: 18282","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 107 - 103. Put -3, k, -12 in decreasing order.\nAnswer: k, -3, -12","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: ((32\/(-112)*28)\/(-6))\/((-4)\/(-15))\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -1151368*t**4 + 5230228*t**2 wrt t?\nAnswer: -27632832*t","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between -7.24558325 and -110?\nAnswer: 102.75441675","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 43 + 79*v - 14 - 29.\nAnswer: 79*v","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 13*w - 20*w = -1470. Suppose 15*c - w = c. Let a = -36 - -80. What is the remainder when a is divided by c?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: 24a414 (base 11) to base 16\nAnswer: 604eb","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 128625 a multiple of 125?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 460 + -473. Does -3\/5 = l?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is -321 - -12212?\nAnswer: 11231","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -2 - (2 + -4) - 3.\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand -4*q + 0*q + 3*q + (24 + 16 - 4)*((-2*q + 3*q - 2*q)*(2 + 0 - 3) - q - 3*q + 0*q).\nAnswer: -109*q","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is -10 + 2*(-6)\/(-2) + (3 - -31010) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 4840582531 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 8*v + 260*v - 1608 for v.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let t(p) = -7*p - 2. Let q(n) = n + 1. Let r(o) = -5*q(o) - t(o). Let s(d) be the second derivative of 5*d**3\/6 - 7*d**2\/2 + 4*d. Determine 9*r(y) - 4*s(y).\nAnswer: -2*y + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3425*m = -34990 + 21290 for m.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: -8 + 1 + -4 + 6\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*l - 4*h = -56, l = -4*l + 2*h + 32. Calculate the remainder when (-235616)\/22288*42\/(-4) is divided by l.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r be 1 + (3 - 2) + 3. Suppose -4*l = -187 - 33. Calculate the greatest common divisor of l and r.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 103 is divided by 3444\/78 - (-2)\/(-13)?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(d) = d**2 - 7*d + 5. Let i(x) = 0 + x + 10 + 269*x**3 - 270*x**3 - 5*x**2. Let k be i(-5). Give b(k).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: 21644 (base 14) to base 9\nAnswer: 132761","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 14015174479 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of -2389082, -4778446, -7167808, -9557168, -11946526, -14335882, -16725236?\n\"Answer: b**2 - 2389367*b + 284","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let i(c) = c**3 + 4*c**2 - 4*c + 7. Let r(m) = -m**3 - 5*m**2 + 5*m - 7. Let y(x) = 3*i(x) + 4*r(x). Let j be y(-9). Solve -j*t = -0*t - 8 for t.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: -112101 (base 3) to base 14\nAnswer: -1da","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 11*y + 2575 = -14*y. Let h = y - -512\/5. What is the smallest value in -2\/7, -11\/9, h?\nAnswer: -11\/9","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 227163 to the nearest integer?\nAnswer: 61","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -k - 3 = 0, -4*k = -2*m + 6*m + 16. What is the tens digit of (59 - -2) + (-4 - m)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 380 and 190?\nAnswer: 380","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: How many centimeters are there in 8.066321 meters?\nAnswer: 806.6321","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from bfgkbfgskkskwskkgs. Give prob of sequence bfb.\nAnswer: 1\/1224","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Put 1, -2, 11 in decreasing order.\nAnswer: 11, 1, -2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-1038*o**3 - 2993721 + 2993721)*(-6*o + 2*o + 2*o).\nAnswer: 2076*o**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of 925, 1061, 1285, 1609, 2045, 2605, 3301?\n\"Answer: 2*j**3 + 32*j**2 + 26*j + 865","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Divide 2 by -33131.\nAnswer: -2\/33131","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is 30772785 a multiple of 365?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 386 in -1, -1\/5, 2\/21?\nAnswer: 2\/21","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(114)*1*-3)\/(-1*sqrt(24))*3)**2.\nAnswer: 1539\/4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*n + 18 = 7*n + 4*y, -y + 11 = 4*n. Find the second derivative of 58*l**2 - 113*l**n + 60*l**3 + 55*l**2 + 125*l wrt l.\nAnswer: 360*l","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -3883890 by 1941945.\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: -58 divided by -11\nAnswer: 58\/11","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let n(i) = i**2 - 6*i - 51. Let s be n(16). Suppose -103*t + s*t = 384. What is the least common multiple of t and 84?\nAnswer: 1344","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is -4 + 142?\nAnswer: 133","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let d(o) = -o**2 - 14*o - 12. Let k be d(-6). Suppose -4*w + k = 5*v, 4*v - 8 = -5*w + 28. Solve 5 = -w*y + 17 for y.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 g and 1 u when two letters picked without replacement from {g: 2, u: 1, y: 2, z: 1, r: 1, a: 1}?\nAnswer: 1\/14","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 1.0417 - 0.8417. Put 8, -2\/5, j, 3, 2\/9 in descending order.\nAnswer: 8, 3, 2\/9, j, -2\/5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence qb when two letters picked without replacement from bqqqqqqqqqqqqqbqbq?\nAnswer: 5\/34","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.0005368394 rounded to six decimal places?\nAnswer: -0.000537","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 13741383?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let l be 0*((-25)\/10)\/5. Let t be l + 5655015\/3 + -5. Round t to the nearest one hundred thousand.\nAnswer: 1900000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -129699 plus -14.09?\nAnswer: -129713.09","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 453660090 to the power of 1\/2, to the nearest integer?\nAnswer: 21299","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Are 7942\/5 and 0 equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let w(p) = 2*p. Let f(j) be the first derivative of -13*j**4\/12 - 15*j**2\/2 + 3. Let k(x) be the second derivative of f(x). Give w(k(q)).\nAnswer: -52*q","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let g be -44*-1*5\/10. Let c = g + -14. Suppose 20 = 3*p + c. Let w(f) = -2*f + 2. Calculate w(p).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: 7 + -9 + -2 + 2\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let s(z) = z + 1. Let u(l) = -7*l + 27. Let p(b) = -3*b + 14. Let g(d) = 5*p(d) - 3*u(d). Let w(y) = -g(y) + 5*s(y). List the prime factors of w(0).\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (39\/21 + -2)\/(15\/45). Sort -4, 0.4, 5, f in decreasing order.\nAnswer: 5, 0.4, f, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from wwrwnrtontvrtnonr. What is prob of picking 1 t, 1 o, and 1 r?\nAnswer: 3\/85","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Factor 5*i**4 + 505*i**3 + 13485*i**2 + 36995*i + 24010.\nAnswer: 5*(i + 1)*(i + 2)*(i + 49)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -q = -2*g - 5, -3*q - 5*g + 43 - 6 = 0. Suppose -3*z - q + 555 = 0. What is the tens digit of z?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j be 2\/5 - 72\/(-220). Which is greater: 2 or j?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n be 2 + 1 - 6 - -5. What is the remainder when (n\/(-4))\/((-3)\/630) is divided by (-6 - -2)\/(16\/(-112)) - (1 - 0)?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-16)\/4 - (43 + -19 - 6)*5\/(-2)\nAnswer: 41","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 595*c**3*s - 188*c*s**3 + 294*c - 30756590*s**3 + 3 with respect to c.\nAnswer: 1785*c**2*s - 188*s**3 + 294","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence tgt when three letters picked without replacement from ggtgggtggggt?\nAnswer: 9\/220","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:48 AM and 7:34 AM?\nAnswer: 406","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -846 + 847. Is -2\/1851 at most m?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(z) = 6*z**3 + 6*z - 18*z**3 + 0 + 13*z**3 + 7*z**2 - 3. What is m(-6)?\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.00000164211 rounded to 7 decimal places?\nAnswer: 0.0000016","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of 22, 17, 8, -5?\n\"Answer: -2*v**2 + v + 23","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 5 + 11 - 8 - 13.\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 34181 and 49?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 5*o - 4*i - 31903500, 7*o - 3*i = 3*o + 25522800. What is o rounded to the nearest 1000000?\nAnswer: 6000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1096 is divided by 13?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of -359, -378, -425, -512, -651, -854, -1133, -1500?\n\"Answer: -2*q**3 - 2*q**2 + q - 356","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -61\/581 + -15\/83. Is -229 at most as big as r?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 6391963 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-1 - 5 + 5)*(-14 + 5 - 152)*(-c + 2*c + c)*(9 - 8 - 10).\nAnswer: -2898*c","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1082141, 4, 0.2 in descending order.\nAnswer: 1082141, 4, 0.2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is -6599756 divided by 1?\nAnswer: -6599756","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 14924 to the power of 1\/7, to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 57549 + -57549.000023921. What is u rounded to 5 decimal places?\nAnswer: -0.00002","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 3*(-2 + -4 + (-1 + sqrt(1573) - sqrt(1573) - sqrt(1573))*1 + sqrt(1573))**2.\nAnswer: 147","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: 825 divided by 15\nAnswer: 55","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Sort -5, -467, 0, 5, -1, 6.\nAnswer: -467, -5, -1, 0, 5, 6","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (-14)\/(-7) - (-1 + 9). Let b(m) = m**2 + 3*m - 8. What is the units digit of b(o)?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:46 AM and 4:56 PM?\nAnswer: 310","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is one sixth of a week in minutes?\nAnswer: 1680","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 41 minutes after 7:41 AM?\nAnswer: 8:22 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 349109 is divided by 270.\nAnswer: 269","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -15? (a) 0.3 (b) -2\/3 (c) 1.2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -743\/135 + 1\/270. Which is greater: k or -6?\nAnswer: k","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -1, -5\/2, 0, -2\/11, -1\/32 in decreasing order.\nAnswer: 0, -1\/32, -2\/11, -1, -5\/2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Sort 4, -73, -252, 2, 0, 55 in ascending order.\nAnswer: -252, -73, 0, 2, 4, 55","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Express -52747*f + 52681*f - 14*f**3 + f**3 as c*f**2 + m + o*f**3 + s*f and give c.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -101\/108 and -37\/6343920.\nAnswer: 6343920","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 129 + -90. What is the remainder when x is divided by ((-8)\/20 - 174\/(-10)) + -3?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c be ((-4)\/9)\/(4\/1870). Let y = -208 - c. Let d be 0 + 2 + -1 + 0. Is d bigger than y?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(c) = 13*c. Let k(t) = -72*t. Determine 5*k(x) + 27*o(x).\nAnswer: -9*x","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 0.47 - 0.27. Which is the nearest to 1? (a) r (b) 4 (c) 9\/4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(n) = -4*n**3 - 2 + 3*n**3 - 42245*n**2 + 42210*n**2 - 67 + 72*n. What is j(-37)?\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(g) = 17*g - 17. Let k(x) = 11*x - 10. Let d(w) = 8*k(w) - 5*o(w). Let l(b) = 8*b + 14. Determine 17*d(u) - 6*l(u).\nAnswer: 3*u + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 51\/5 of a kilometer in meters?\nAnswer: 10200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 59889469 rounded to the nearest 1000000?\nAnswer: 60000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -48373\/16 + 3027. Let m = 30689\/5814 + -72\/323. What is the common denominator of m and w?\nAnswer: 144","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 78 + -76. Solve 1 = k + g for k.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 12*o + o**2 + 16*o + o**2.\nAnswer: 2*o**2 + 28*o","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Expand (1 - 1 - d)*(-2 + 0 + 0) + (0 + 2 - 3)*(3*d - 3*d + d).\nAnswer: d","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (100\/(-14))\/(15\/(-105)). What is the highest common factor of j and 10?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(j) = 3*j**3 - 28*j**2 - 25*j + 39. Calculate m(10).\nAnswer: -11","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:17 AM and 3:16 PM?\nAnswer: 359","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let j(r) be the third derivative of r**7\/630 + r**6\/90 + r**5\/180 - r**4\/12 + 3*r**2. Factor j(y).\nAnswer: y*(y - 1)*(y + 2)*(y + 3)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -a + 11*a**2 - 17*a**2 - 3*a**2 - 64*a**2 + 4*a to m*a + o*a**2 + r and give o.\nAnswer: -73","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: 2133 (base 5) to base 9\nAnswer: 355","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 207*d - 186*d = 1092. What is the remainder when 5457 is divided by d?\nAnswer: 49","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1049137870 to the power of 1\/3, to the nearest integer?\nAnswer: 1016","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is (0\/2 + 0\/9)\/1?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 2*k + 3*b + 14, 19*k + 3*b + 2 = 29*k for k.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let i(o) = 2*o**2 - 20*o + 9. Let k be i(10). Calculate the greatest common factor of k and 81.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: 8 + (-33 - -35 - -10 - (-13 - -2))\nAnswer: 31","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-14)\/8*2\/(-7)?\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -119 + 237\/2. Which is the fourth biggest value? (a) -4\/3 (b) 3 (c) -0.1 (d) g\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -30*v = 53*v + 18*v + 4949 for v.\nAnswer: -49","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: ((-80)\/14)\/(-2 + (-29)\/((-2233)\/176))\nAnswer: -20","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) -3 (b) -54 (c) -0.2 (d) 3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -93 + 62 + 31 + 14922*k.\nAnswer: 14922*k","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let r be ((-2760)\/600)\/(6\/(-10)) + -7. Sort 178, -2\/9, 2, r in decreasing order.\nAnswer: 178, 2, r, -2\/9","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 133 - 132.96. Is 8 bigger than b?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of 87, 176, 265, 354, 443, 532?\n\"Answer: 89*t - 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let x be 20 + (2 - -1) + -3. Let y be 390\/x*92\/(-150). Let i = 153\/50 + y. Calculate the common denominator of i and 89\/16.\nAnswer: 80","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence lkd when three letters picked without replacement from ldmklmepmpdlmlllpl.\nAnswer: 7\/2448","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2887 = -1520*c + 31*c - 19266 for c.\nAnswer: -11","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -1*-10758.\nAnswer: 10758","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1366 is divided by 87.\nAnswer: 61","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in 5, -1, 7\/5?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify f**(2\/7)\/(f*(f\/(f**(-7\/3)*f))\/f)*f**(-5\/6)*f*f*f**(-1\/6)*f assuming f is positive.\nAnswer: f**(-1\/21)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is 2514452041 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*j = -2*j - 14. Suppose -2*r = -j*r + 25. Suppose 0 + 4 = -5*m - u, 8 = -3*m - 2*u. Solve r = -5*i - m for i.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -333 + 0*b + 20 - 277 - 2*b - 1092 to x + w*b and give x.\nAnswer: -1682","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 6\/5 of a decade in months?\nAnswer: 144","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve -6*j + 2*w - 4 = -j, -2*j - w = 7 for j.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-8 + 2 + 3)*(-2*k - 30*k - 9*k)*(5*k**3 + 3*k**3 - 5*k**3).\nAnswer: 369*k**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is 10013 - 10114342?\nAnswer: -10104324","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve 20 = 5*y - 5*j, -21*y - 30734*j + 30733*j + 150 = 0 for y.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:10 PM and 5:21 PM?\nAnswer: 71","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:28 PM and 2:44 PM?\nAnswer: 136","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 3 m and 1 i when four letters picked without replacement from mimimi.\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*n - 2*n = 5*k + 666, 0 = -4*n - 5*k + 2614. What is the hundreds digit of n?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of -4 + (-212 - -4)\/(-4)?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5 + 1 = 3*l. Suppose -10*d + l = -9*d. Let y be 2\/8 + d\/(-24)*3. Solve -2*j = -v + 5*v + 12, 2*v + 2 = y for j.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence dw when two letters picked without replacement from {k: 1, w: 10, d: 1, e: 1, j: 1}.\nAnswer: 5\/91","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2*a - 11879594*a**2 + 2954248*a**2 - 2*a.\nAnswer: -8925346*a**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let m(i) = 5*i**2 - 2*i - 2. Let n be m(-2). Let s = n + -22. Suppose 27 = 2*u - 5*b, -u - 4*b + s = 6. Calculate the remainder when 16 is divided by u.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 96*s = 101*s - 380. Suppose s = -2*a + 5*z + 435, 0 = a - 3*z - 182. What is the units digit of a?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 10 divide ((-2)\/(-2))\/((-1)\/(-29))?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 468 - -712. What is the thousands digit of u?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 3 + -1. Let v(q) = q**2 + 11*q - 10. Let k be v(-12). Solve k*n + 8 - j = 0 for n.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -5\/4? (a) 4\/3 (b) 2 (c) -9\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Determine l, given that -256\/9*l - 26\/9*l**3 - 124\/9*l**2 - 2\/9*l**4 - 64\/3 = 0.\nAnswer: -4, -3, -2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 15*d**2 - 1373*d + 1373*d - 6.\nAnswer: 15*d**2 - 6","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 11 + 2 - 13 + 13*p**3.\nAnswer: 13*p**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Does 1545 divide 9047520?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 4185521 to the power of 1\/2, to the nearest integer?\nAnswer: 2046","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from lllwllw. Give prob of sequence lw.\nAnswer: 5\/21","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 3467\/15 + -231. Let o = -1.8 - -2. Which is the second biggest value? (a) o (b) 0.3 (c) m\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:14 AM and 8:24 PM?\nAnswer: 610","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 6560175 to the power of 1\/2, to the nearest integer?\nAnswer: 2561","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 2 times 253?\nAnswer: 506","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5 - 5 = -5*h. Find the third derivative of h*u**3 + u**2 - u**2 - 2*u**2 wrt u.\nAnswer: 12","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -10, -18, 15, -2, 4, 2.\nAnswer: -18, -10, -2, 2, 4, 15","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (w\/w**2*w*w\/w**4*w)\/(w**(-4)\/w**(-2\/13)) assuming w is positive.\nAnswer: w**(24\/13)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 2 + (-2 - (-3 + 2 + 2)) + -2.\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 1026 to the power of 1\/6, to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -32 - 14*g + 68 - 76*g - 31.\nAnswer: -90*g + 5","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in 0.3, 6, 1248?\nAnswer: 1248","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let f(h) = -2*h**3 - 46*h + 7. Let y(k) = 2*k**3 + 746*k - 769*k - 3*k**3 + 3. Let n(c) = -3*f(c) + 7*y(c). What is the second derivative of n(z) wrt z?\nAnswer: -6*z","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (q + 0*q + 2*q)*(4 - 1 + 2)*(-3*q + 4*q + 0*q) + 35*q**2 + 0*q + 2*q - 159*q**2.\nAnswer: -109*q**2 + 2*q","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 7030160378 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Product of 0.0039056 and -0.2.\nAnswer: -0.00078112","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 15\/427516 and -45\/119.\nAnswer: 2992612","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose i + 5 = 5*h, 3*i = -h + 3*h - 2. Suppose i = v - 4*v. Suppose v = -2*f - f + 165000. Round f to the nearest 10000.\nAnswer: 60000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 63405788521 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let o(m) = -3*m - 6. Suppose -28 = -5*r + 2*r + 5*v, r - 4*v = 14. Let x(u) be the second derivative of r*u + 1\/6*u**3 + u**2 + 0. Give -2*o(z) - 7*x(z).\nAnswer: -z - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let r be 1596\/(-152)*(-2)\/3. What is the greatest common divisor of r and 17?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q be 1\/3 - (-6)\/(-9). Let j = -0.1 + 0.5. Let d = -1.1 - -1.3. Which is the nearest to d? (a) 0.3 (b) j (c) q\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose z + 5 = 2. Is z - 348\/(-6 - -3) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(n) = -n**2 - 9*n. Let v be 2\/4 + (-99)\/(-2). Suppose 2*k - 42 = 5*s - s, 0 = 5*s - 2*k + v. What is the lowest common multiple of r(s) and 20?\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -658 + 976. What is the tens digit of v?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: 403*-6.391\nAnswer: -2575.573","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -0.2 - 0.9. Let n = 830 + -831.099988. Let s = n - o. What is s rounded to 6 decimal places?\nAnswer: 0.000012","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-4 + -4*-5*-6*(sqrt(7) + -1) + 5)**2.\nAnswer: -29040*sqrt(7) + 115441","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Round 50252798.9 to the nearest one hundred thousand.\nAnswer: 50300000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let z(h) = -5*h - 267. Let v be z(-54). Suppose i - 5*g = -2*i - 26, -5*i + 10 = 5*g. Which is the third biggest value? (a) v (b) 0 (c) 0.2 (d) i\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.00005521714 to six dps.\nAnswer: -0.000055","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*j + 5*k - 1156 = -0*k, j - 3*k - 272 = 0. What is the smallest common multiple of 2 and j?\nAnswer: 284","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: -10 (base 8) to base 13\nAnswer: -8","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) 271 (b) -2\/5 (c) 2.6 (d) 0.4 (e) -7\/5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -284181, -284184, -284191, -284202, -284217?\nAnswer: -284236","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -1517179 = 3*y + 282821. What is y rounded to the nearest one hundred thousand?\nAnswer: -600000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -3*z**3\/2 + 15*z**2\/2 + 21*z.\nAnswer: -3*z*(z - 7)*(z + 2)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth root of 174697 to the nearest integer?\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let a(y) = -9*y - 31. Let p be a(-12). What is the greatest common divisor of p and 11?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(m) = m. Suppose 0 = -3*j - 0*j + 3. Let y(p) = -p**2 + 8*p - 1. Let k(g) = j*y(g) - 5*i(g). Let r(u) = -2*u + 2. Let c be r(-1). Determine k(c).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is (-75)\/(-5) - (2 + 1) a multiple of 6?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 35777 or 35775?\nAnswer: 35775","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is 4559027 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is -3103400234 - -1?\nAnswer: -3103400233","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_test"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*i - 20 = 0, 252 - 976 = 3*z - 2*i. Let d = z + 243. Let n(b) = 6*b**3 - b**2 + b + 1. Determine n(d).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(d) = -66*d + 1335. Let v be g(20). Is v at most 0.14?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -1230 + 1230.2. Let f be (-1)\/15*(-3)\/(-2). Sort 0.3, f, 2, p.\nAnswer: f, p, 0.3, 2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 8114, 32466, 73048, 129854, 202878?\nAnswer: 292114","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 11673640 is divided by 2334722?\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -36 = -j - 2*c, 41 - 118 = -2*j - 5*c. Suppose -l = r - j, 2*r + 106 = 5*l - r. Let g = -14 + l. Is 6 a factor of g?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(o) = o + 438. Suppose 1008 = 41*b - 9*b - 16*b. Calculate the remainder when p(0) is divided by b.\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y be 0*((2 - -1) + -4). Suppose 5 = -u, 10*m - 15*m - u + 15 = y. Solve -4*x + 17 + 9 = -2*g, 0 = -m*x + 5*g + 41 for x.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 45, 0.3, 6\/11, 2\/5 in descending order.\nAnswer: 45, 6\/11, 2\/5, 0.3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is (30\/(-11))\/((1328\/664)\/(4\/(-18)*3))?\nAnswer: 10\/11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Find o, given that o**4\/4 + 1087*o**3\/8 - 31619*o**2\/8 - 122287*o\/8 - 53103\/8 = 0.\nAnswer: -571, -3, -1\/2, 31","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -5 + (3 - 0) + 1?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -6 in -2, 5, -747524?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let n(j) = -j**3 - 3*j**2 - 2777*j - 5551. Give n(-2).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1, -5, 3, 51, 4 in decreasing order.\nAnswer: 51, 4, 3, 1, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 27429 + 11938. Does 88 divide n?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -28 = -4*s - 6*o + 2*o, -3*s + 27 = 5*o. Let u = 112 + -110. Suppose l + s*l = 5*b - 360, -5*b + u*l = -354. Is 14 a factor of b?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 468\/(-4680)*(4 + -2 + 1).\nAnswer: -3\/10","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-22 - 32 + 12)*(2*b**3 + 0*b**3 + 0*b**3 + (4*b**2 - 2*b**2 + b**2)*(b - b - 2*b) + 0*b**2 - 2*b**3 + 0*b**2 + 2*b**3 + 2 + b - b).\nAnswer: 168*b**3 - 84","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is -125174 + -46?\nAnswer: -125242","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let o(p) be the third derivative of -p**6\/120 + p**5\/10 - p**4\/4 + 4*p**3\/3 - 5*p**2. Let d be o(5). Solve -2 = -2*v + d*v for v.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 5.4 - 5. Let m = 107753 - 107740. What is the third smallest value in r, m, -0.1, -0.4?\nAnswer: r","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) -2\/3 (b) -1\/17 (c) -612 (d) 0.04\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 8128 and 4246832?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -117 = -2*q + 4*u + 55, -5*q + 394 = 2*u. Suppose 4*n - q = -48. Sort 2\/19, -1\/2, n in descending order.\nAnswer: n, 2\/19, -1\/2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.0000007933067 to 7 dps.\nAnswer: 0.0000008","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is ((18\/21)\/(-3))\/(104\/(-1092)*12\/5)?\nAnswer: 5\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_test"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 358591*b + 386257 wrt b?\nAnswer: 358591","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8*v - 4 = 7*v. Let 6*f + 1 + 12*f**2 - 288*f**3 - 274*f**3 + 572*f**3 + 3*f**v = 0. What is f?\nAnswer: -1, -1\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 18774?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 1145.9 - 1145.760024. Let d = 21 - 20.86. Let u = n - d. Round u to 5 dps.\nAnswer: -0.00002","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 1153 or 89688?\nAnswer: 89688","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let f be ((-4)\/(-8))\/(((-45)\/(-102))\/15). What is the highest common factor of f and 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 35*k - 1279 - 907 = 264. Calculate the remainder when k is divided by 49.\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 f when two letters picked without replacement from {p: 1, b: 2, a: 3, f: 2, x: 1, w: 3}?\nAnswer: 1\/66","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve -n + 17 = 3*n - 5*t, 0 = -n - t + 2 for n.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 675266, 675247, 675228, 675209, 675190?\nAnswer: 675171","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 406 and 66178?\nAnswer: 406","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:59 PM and 10:08 PM?\nAnswer: 249","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let c(j) = -41*j + 2. Let o(u) = -u**3 - 36*u**2 + 174*u + 562. Let t be o(-40). Let p(l) = -4386*l + 215. Calculate t*p(x) - 215*c(x).\nAnswer: 43*x","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: (-478)\/28 - (-1360)\/80\nAnswer: -1\/14","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -3735*b**6 + 5*b**4 - 2*b**3 + 1436*b**2 + 16.\nAnswer: -448200*b**3 + 120*b - 12","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 11 + -7. Let z be -4*6\/4 - (11 - 17). Solve -h*r + 3*r - 1 = z for r.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 283 minutes before 4:50 PM?\nAnswer: 12:07 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 500 is divided by 40.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 33100258 to the power of 1\/4, to the nearest integer?\nAnswer: 76","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 16157733 is divided by 605.\nAnswer: 603","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let v(z) be the second derivative of 779*z**4\/4 + z**3\/3 + z**2 + 11*z. Let r be v(-2). Let d = r + -112225\/12. What is the common denominator of d and 81\/2?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 402 + -191. What is the hundreds digit of j?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 17 a factor of 30386?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 3666334 to the nearest integer?\nAnswer: 154","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let m(t) = -t**3 + 7*t**2 - 7*t + 5. Let x be m(6). Suppose 3*b - 22 = -4*i, 83*b = 85*b - 5*i - 7. Put 1, b, x in descending order.\nAnswer: b, 1, x","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 19 + -16. Solve 0 = -d*o - o + 8 for o.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2858635?\nAnswer: 5, 13, 17, 199","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 444 minutes after 7:41 AM?\nAnswer: 3:05 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -11*b**5*n + 38*b**4*n - 381*b**2*n - b**2 wrt b?\nAnswer: -660*b**2*n + 912*b*n","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let d(t) = -t - 17. Let s be d(-13). Let j be (3\/6)\/(s - -1). Which is the closest to -0.3? (a) j (b) 0 (c) -5\/4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 b and 1 i when three letters picked without replacement from {i: 3, x: 4, q: 3, n: 2, e: 1, b: 2}.\nAnswer: 3\/455","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let o(h) = -h - 2. Let j be o(-4). Suppose -6 = j*a - 2. Let i be (-36)\/((-2)\/(-4)*a). Solve -6 = -2*v + 2, 0 = 4*u - 4*v + i for u.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(3159)*2 + sqrt(3159) + sqrt(3159))*5)\/(sqrt(3) + sqrt(3) + -4*sqrt(3)*2 + (sqrt(36) + sqrt(108)\/sqrt(3))\/sqrt(12) + sqrt(3)).\nAnswer: -60*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -146*k**2 + 5*k**3 - 1 - 11*k + 143*k**2 + 13*k to the form d*k**2 + j + i*k + m*k**3 and give d.\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is -111100101202 - -2?\nAnswer: -111100101200","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -11*n**6 + 80*n**5 + 3*n**4 - 961*n**2 + 18*n + 2 wrt n?\nAnswer: -1320*n**3 + 4800*n**2 + 72*n","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 21725.02 millennia in centuries?\nAnswer: 217250.2","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-8)\/(-15)*(-600)\/(-720)?\nAnswer: 4\/9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -817 + 409 + 169615*m + 408 - 84799*m - 84802*m.\nAnswer: 14*m","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8*l + 0*l - 120 = 0. Is l less than or equal to 14?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -10*h + 7*h = -6. Suppose 0 = -h*v + 5*b - b - 12, -3*b = -2*v - 8. Solve 0 = 5*i + 4*r - 20, 2*r - 10 = -v*i + 4*i for i.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 348, 352, 362, 378, 400?\nAnswer: 428","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: 0.130776*0.1\nAnswer: 0.0130776","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from npvfxfff. Give prob of picking 1 v, 1 n, and 1 x.\nAnswer: 1\/56","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (u*u**(-1\/6)*u**(4\/7)*u**(-3)*u*u**6)\/(((u**(-1\/5)*u)\/u**1)\/(u**(-1\/2))**36) assuming u is positive.\nAnswer: u**(-2603\/210)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Find w such that -w**2 + 0 - 9\/2*w**3 + w**4 + 1\/2*w**5 + 4*w = 0.\nAnswer: -4, -1, 0, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 2 + 9*t - 8*t + t**3 - 5*t to the form p*t**3 + z*t + q + d*t**2 and give z.\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 24 = 3*u - 5*a + 2*a, -4*u = a - 17. Suppose 511 + 69 = u*d. What is the units digit of d?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(p) = p**5 + p**4 + p**2 + p + 1. Let s(g) = -46*g**5 + 6*g**4 + 4*g**2 + 8*g + 6. Let w(d) = -6*o(d) + s(d). Find the third derivative of w(l) wrt l.\nAnswer: -3120*l**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 22947, 22973, 23023, 23103, 23219, 23377, 23583?\nAnswer: 23843","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Express 7*c + 2*c + 10*c - 3*c - 2*c**2 as j + d*c + f*c**2 and give d.\nAnswer: 16","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 204.\nAnswer: 2, 3, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 2\/11 in 0.3, -42, 13, -2\/11?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is 4254068869 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let v(k) = k**3 + 2*k**2 - k. Let l be v(1). Suppose 86 = 2*b - 2*i, -l*b + 86 = -2*i + 7*i. Is 10 a factor of b?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence aww when three letters picked without replacement from {a: 1, z: 1, w: 6, f: 4, m: 1, e: 3}?\nAnswer: 1\/112","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let h(q) = -q**3 - 12*q**2 - 23*q - 25. Let u be h(-10). Suppose 4*d - 2*s = 3*s + 291, -4*s = -u*d + 375. What are the prime factors of d?\nAnswer: 79","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -9 divided by 2157821?\nAnswer: -9\/2157821","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -17706, -34492, -51280, -68070?\nAnswer: -84862","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in -4\/5469, -4, 9, 1\/9?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let u(p) = -6*p**2 + 7. Let g(v) = 5*v**2 + v - 6. Let c(l) = -3*l + 1. Let f be c(2). Let d(i) = f*g(i) - 4*u(i). What is the units digit of d(-3)?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*p = 3*n - 27, 0*p - 3*n = 5*p + 5. Does 18 divide 2*(0 - 110\/p)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (((-6)\/(-3))\/2)\/((8\/(-2))\/(-12))?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let h(b) = 72*b - 75*b + 8 - 5 + 17. What is h(8)?\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 6954 is divided by 188?\nAnswer: 186","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Subtract 47 from 0.4293.\nAnswer: -46.5707","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*y + 25872 = q, 2*q + 4*q = -y + 6468. Does 14 divide y?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve u = -m - 11, -3*m - 10*u + 8*u = 22 for m.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:20 AM and 1:00 PM?\nAnswer: 160","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-333)\/(-94) - (174720\/(-2820) + 62).\nAnswer: 7\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Put -2, -3, 5, -27 in decreasing order.\nAnswer: 5, -2, -3, -27","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 13211 - 8619. Does 41 divide g?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -2*((sqrt(252) - (-5 + (sqrt(252)*4)**2)) + sqrt(252)).\nAnswer: -24*sqrt(7) + 8054","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let n be ((-15)\/10)\/(6\/(-16)). Let c = -1 + 3. Suppose 3*x - c*y = 2*y - 8, 0 = 5*x - y + 2. Solve 4*b = -n*p - 28, x*p - p + 2*b + 5 = 0 for p.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(f) = -3*f**2 - f. Let s be z(-1). Let r be (-8)\/(-14)*91\/117. Let l be (-2)\/4*(-20)\/(-15). Which is the nearest to l? (a) r (b) s (c) 5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: ((-1)\/2)\/(5 + 405\/(-80))\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(v) = -v**3 + 6*v**2 + 8*v + 1. Let x be s(7). Suppose 4*w - 8 = x. Solve w + 0 = -r for r.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (-6 + 252\/30)\/(2\/10). Solve u = 2*r + 14 for r.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (u*u\/(u*u**(-2\/5))*u*u)**(-7)*(u\/(u\/(u\/u**(1\/4))))**(-7) assuming u is positive.\nAnswer: u**(-581\/20)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of -1520, -3043, -4566, -6089?\n\"Answer: -1523*b + 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 19041489 to the nearest integer?\nAnswer: 267","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -1014*q + 1027*q + 26 for q.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 25*l = 23*l. Let a be -14 + 15 - (1 + -2 - l). Does 20 divide 24 + (a + -5 - 1)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 83187.64 micrograms to nanograms.\nAnswer: 83187640","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -260606310*p**6 + 3*p**2 + 7912008*p - 1?\nAnswer: -31272757200*p**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-2*sqrt(1210) - sqrt(1210))\/(-1*sqrt(6)\/sqrt(3)).\nAnswer: 33*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 2892 and 10194.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*s + 2*s + 92 = -r, -5*s - 5*r = -200. What is the remainder when 80 is divided by s?\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: 5.1784*-0.57\nAnswer: -2.951688","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 6772658.\nAnswer: 2, 53, 181, 353","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Sort 3\/2, 0.4, 1\/2, -6 in increasing order.\nAnswer: -6, 0.4, 1\/2, 3\/2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let k(u) = -u**2 + 12*u + 18. Let z be k(13). Solve -5*x - 4*h - z = -0*x, -2*h = 3*x + 1 for x.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is 7a + 6a?\nAnswer: 117","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let b(h) = h**2. Let u(k) = 6066*k**2. What is u(b(c))?\nAnswer: 6066*c**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let c(x) = 1034*x. Let f be c(1). Let b = -280 + 288. What is the derivative of -b*v - f + v + 1017 wrt v?\nAnswer: -7","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -2*u**2 - 143*u + 141.\nAnswer: -4*u - 143","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Round 183.80854 to the nearest integer.\nAnswer: 184","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 98 minutes after 11:36 AM?\nAnswer: 1:14 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -0.1 in 2, -3, -5, 15?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {r: 1, d: 2, q: 1, s: 3}. Give prob of picking 1 s and 1 r.\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 170 is divided by 22?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Expand (1 - 2 + 0 - 2*j)*(2 - 2 + 2)*(49 - 850 + 4252).\nAnswer: -13804*j - 6902","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 165 + -165.00000353. What is p rounded to 6 decimal places?\nAnswer: -0.000004","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(h) = h**3 - h**2 + 15*h + 73. What is w(-3)?\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: -32240a (base 13) to base 12\nAnswer: -488729","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (-135)\/(-25) + 4\/(-10). Suppose 14 = h*x - 7*x. Let b(d) = -d**2 - 9*d. Does 7 divide b(x)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 175*o*p**3 - 11*o*p - 6869*p**3 wrt o?\nAnswer: 175*p**3 - 11*p","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((x*x**(1\/2))**(-8\/5))**(2\/11) assuming x is positive.\nAnswer: x**(-24\/55)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let p(l) = 4*l**2. Let f(w) = 5*w - 5*w + w - 3*w. Calculate f(p(j)).\nAnswer: -8*j**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 5\/2 + 6270061\/406?\nAnswer: 2, 7723","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:13 AM and 7:17 AM?\nAnswer: 304","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let o be 9\/((-63)\/2) - (-2874)\/14. Suppose -3*v + 4*c + o = 0, -155 = -2*v + 4*c - 17. Is 6 a factor of v?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t be 2614\/10 - 94\/235. Calculate the greatest common divisor of 18 and t.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 42809411\/660 + -259449\/4. What is the common denominator of x and 83\/220?\nAnswer: 660","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1183365383 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 50232077?\nAnswer: 7, 7176011","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0 - 2*x + 0)*(3*x**2 + 4*x**2 - 6*x**2) - 1 + 4*x**3 + 1 - 846 + 556*x**2 - x + 844 - x**3 + 297*x**2.\nAnswer: x**3 + 853*x**2 - x - 2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 86 a factor of 1634?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Divide 1 by -103089.\nAnswer: -1\/103089","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from pkpkkp. Give prob of picking 3 k.\nAnswer: 1\/20","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let m(g) = g - 3*g + 4*g + 7. Let c = -8 - -2. Calculate m(c).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -19 (base 14) in base 11?\nAnswer: -21","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (17913*r - 3 - 3 - 17609*r)*(-3*r + 0*r + r) to n*r**2 + q*r + g and give n.\nAnswer: -608","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) 1 (b) -4\/3 (c) 19 (d) 58\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is 106409 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*y + 4 = -2*a, 2*y = 7*y. Suppose -4*p + 9 = 5*g, -162*p = -4*g - 165*p + 7. Is g smaller than a?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(o) = 3*o**2 + 255*o - 21817. Determine n(-138).\nAnswer: 125","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let j be 3\/(-6)*4\/8. Suppose 4*l + 22 = -t + 2, -t - 25 = 5*l. Let z be (t - -2 - 2) + 6\/15. Which is the nearest to z? (a) 1\/4 (b) 0.3 (c) j\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is 54 + 3b3?\nAnswer: 417","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 6*(3*sqrt(2662) + sqrt(2662))\/sqrt(2)*-3.\nAnswer: -792*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from uiymulv. What is prob of picking 1 m, 1 i, and 1 y?\nAnswer: 1\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Put 7, -9, -65, -2, -13, 9 in ascending order.\nAnswer: -65, -13, -9, -2, 7, 9","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 23 + -16. Calculate the lowest common multiple of 4 - (-1 + 2)*(-7 - -2) and u.\nAnswer: 63","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -279, -557, -835, -1113, -1391, -1669?\nAnswer: -1947","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-225)\/(-126) - (-6)\/(-4)) + (-8)\/21?\nAnswer: -2\/21","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*z - n + 140 = -0*n, -4*n = 4*z + 88. Let i be 40\/(-3)*z\/(-6). Let y = 97 + i. Is y a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 133 is divided by 46?\nAnswer: 41","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -2\/23 in 2, -0.2, -4\/3, -0.547, -2?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from mmmmmmkkmmmk. What is prob of sequence mk?\nAnswer: 9\/44","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 206177 to the power of 1\/2, to the nearest integer?\nAnswer: 454","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) -0.24 (b) -8020 (c) -2\/11\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Express 4*n**3 + 10*n + 7 - 10*n as x*n**2 + q*n**3 + m + v*n and give q.\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-4*j**3 + 19*j**3 + 3*j**3)*((7 - 1 - 1)*(12 + 13*j - 12) - 3*j + 2*j + 4*j) to the form q*j**3 + m + z*j**2 + w*j**4 + x*j and give w.\nAnswer: 1224","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 24.05 + -24.8. Let l = o + -1.762. Round l to one dp.\nAnswer: -2.5","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -31235 - -1311745\/42. Calculate the common denominator of m and 52\/63.\nAnswer: 126","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*t = 58 + 22. Suppose 0 = -u - 4*u - t. Suppose 4*x = 6*x + 10. Which is the second biggest value? (a) x (b) u (c) 2\/3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 2*s**3 + s**3 + 2*s**3 + (2*s**2 + s**2 - 2*s**2)*(-5 + 2 + 0)*(-39*s - 40*s + 87*s) in the form v + g*s**2 + y*s + u*s**3 and give u.\nAnswer: -19","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let m(p) = 3. Let z(b) = b + 17. Let j(k) = -34*m(k) + 6*z(k). Give j(1).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in 0.3, 8, -0.2, -10371?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Does 956 divide 2275992?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is -4521 - -3?\nAnswer: -451e","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve 7065 + 9249 + 1154 = -1175*z - 6032 for z.\nAnswer: -20","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 2313213 and 1230353?\nAnswer: 1867","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let q(i) = 2*i - 1. Let l be q(3). Suppose -4 = -l*c + 1, f - 2 = c. Suppose -3 = -f*j + 3. Sort j, 0, 11.\nAnswer: 0, j, 11","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*k - h + 4*h = 0, 4*k - 5*h = 0. Suppose k*v + 2*v = 20. List the prime factors of v.\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h be 99\/(4 - -5) - 8. What is the thousands digit of 2\/h - 7646*(-2)\/12?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*m + m = -9. Suppose -18 = -6*g + m*g. Let k(d) = 2*d - 1. What is k(g)?\nAnswer: 11","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -1391, -5103, -10359, -16397, -22455, -27771?\nAnswer: -31583","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -1 = -0*g + g - 4*o, 5*o + 20 = -3*g. Let t(b) = -7*b - 10. Is t(g) a multiple of 19?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7 = -y - 2*h, 2*y - 4*h - 13 - 13 = 0. Let r = y - 1. Suppose 9 = r*x + 5. Solve 0*i + x*i - 10 = 0 for i.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -2148 divided by -6.\nAnswer: 358","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 59*p + 25*p**3 + 4*p**2 + 3 - 5*p - 44*p - 3 to the form f + a*p**2 + n*p + h*p**3 and give n.\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 19 - 16. Let l be 0*(9\/(-6))\/w. Let m(d) = d**3 - 3*d**2 - 4*d + 6. Let t be m(4). Solve l*h + t = 2*h for h.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(t) = 3411*t**2 - t. Let c be s(1). Suppose h - 12*h = -c. List the prime factors of h.\nAnswer: 2, 5, 31","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(d) = -d**2 + 8*d + 33. Let p be z(11). Let s(j) = j + 9. Let u be (3 + -4)*3 + -5. Let h be s(u). Sort 2, 14, h, p in ascending order.\nAnswer: p, h, 2, 14","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve t + 8*j = 54*j - 217, 0 = 897*t - 901*t + 4*j + 32 for t.\nAnswer: 13","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Convert 23.00413 micrograms to tonnes.\nAnswer: 0.00000000002300413","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 1846 + -1174. Is d a multiple of 12?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*g**3 + 1641876*g**2 - 1641874*g.\nAnswer: -2*g*(g - 820937)*(g - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Round -2622823.503 to the nearest ten thousand.\nAnswer: -2620000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -1919*n = -2064*n. Let b = 4 - 0. Solve -b*f + 42 - 14 = 4*k, n = 5*f - 4*k + 1 for f.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(a) = -a**3 - a**2 + 3*a - 4. Suppose -8 = -0*j - 4*j + 4*q, 0 = -j - q - 8. Let x be v(j). Solve -x*z = -3*z - 6 for z.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 8932 - 17900 + 8966 - 15*s**2 + 250*s**2.\nAnswer: 235*s**2 - 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: (-3)\/26*(40\/15 + -4)\nAnswer: 2\/13","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: -13 divided by 28\nAnswer: -13\/28","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: (81\/12*-2)\/((800\/(-64))\/25)\nAnswer: 27","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -14 in 1, 0.3, -1\/9, 0, 0.2035?\nAnswer: -1\/9","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 22569 is divided by 297.\nAnswer: 294","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -166*p**2 - 106*p + 124845?\nAnswer: -332*p - 106","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -114248*z**3 + 3*z - 1183933 wrt z?\nAnswer: -342744*z**2 + 3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let c(s) = 3*s**2 - 5*s - 2 - 2*s**2 + 4. Let v be c(5). Suppose 3*n - 3 = 3*l, 0 = -v*n - 3*n + l + 9. What are the prime factors of n?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*y = 5*r + 9*y + 645009, -3*r = 5*y + 387015. Round r to the nearest 100000.\nAnswer: -100000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of 35, 35, 33, 29?\n\"Answer: -v**2 + 3*v + 33","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (0 - 5) + 49 + (-35 - -24).\nAnswer: 33","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 8\/25 of a kilometer in meters?\nAnswer: 320","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 556 is divided by (-5)\/4 + 6\/42 + (-7958)\/(-56).\nAnswer: 133","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:35 AM and 10:10 AM?\nAnswer: 155","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let j(g) = -2*g - 13. Give j(-11).\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify n**(23\/3)\/n*n**3*n assuming n is positive.\nAnswer: n**(32\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*l = 3*f - 23, 0*l - 3*l - f = 1 for l.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence nnnu when four letters picked without replacement from {u: 3, n: 7}.\nAnswer: 1\/8","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let j(x) be the second derivative of 18*x + 0 - 1\/6*x**3 + 7*x**2. Determine j(6).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(h) = -26*h. Let i(z) be the second derivative of z**4\/4 + 21*z. Determine i(m(w)).\nAnswer: 2028*w**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0.1 in 3\/2, 55, -2\/3?\nAnswer: -2\/3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Put -5\/3, 1, -14.7 in decreasing order.\nAnswer: 1, -5\/3, -14.7","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -3*c*f**3*u**4 + 2*c*f**3*u**2 + c*f**3 - 107*f**3*u**3 - 96*f**2*u**2 wrt u.\nAnswer: -72*c*f**3*u - 642*f**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of -983, -10991, -38159, -91067, -178295?\n\"Answer: -1430*u**3 + 2*u + 445","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 95869 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve 6*v - 8*v = -8 for v.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 38285905?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-5 + 1 + 1)*(3*u - 2*u - 8 + 6) + (-2*u + 0*u + 4*u)*(5 - 1 - 3).\nAnswer: -u + 6","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 187\/6 in 0.4, 1\/5, 2, 0.1?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let g(v) = v**2 + 7*v + 8. Let q be g(-6). Suppose 5*a = q*x + 36, -a + 2 = -3*x - 0. Is 25 a factor of 738\/14 - a\/(-28)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of 1060, 8381, 28250, 66943, 130736, 225905, 358726, 535475?\n\"Answer: 1046*d**3 - 2*d**2 + 5*d + 11","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 555 is divided by 47?\nAnswer: 38","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 38 and 59698.\nAnswer: 38","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Divide -10190 by -2038.\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-9 + 9 + l**2)*(-2 + 2 - l**2 - 2*l**2 + 1 - 1 + (3*l + 3*l + 0*l)*(-l + 2*l + 0*l)).\nAnswer: 3*l**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 248765 to the power of 1\/2, to the nearest integer?\nAnswer: 499","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let u be ((-27)\/(810\/(-100)))\/((-4)\/6). Put -22, u, -2 in decreasing order.\nAnswer: -2, u, -22","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 m and 1 c when two letters picked without replacement from chyml?\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 20*t = 593 - 373. Let b(a) = 11*a - 2. Let y be 1 - 1\/(-1) - -2. Calculate the remainder when b(y) is divided by t.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 0 + (3 - 5) - (24 + -26)?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let t(j) = -j**3 - 11*j**2 + 12*j + 5. Let x be t(-12). Solve 2 = -v + x for v.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*f + 4*f - 4 = 0. Suppose 5*m + 4*x - 35 = x, -5*m + 10 = -2*x. Solve -m = -2*s, 0 = -f*u + 4*s - 12 - 8 for u.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -h = 2, 231 = 2*c + 2*h - 320 + 357. Let g = -21 - -32. What is the greatest common divisor of c and g?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -3? (a) 0.1 (b) -3 (c) -319 (d) -2\/17\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 53*g + 3*g + 6*g - 52*g - 5*g.\nAnswer: 5*g","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 19275, 17945, 16615?\nAnswer: 15285","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -34*p + 84 = -32*p. Calculate the smallest common multiple of p and 15.\nAnswer: 210","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -588772 (base 16) in base 5?\nAnswer: -2441124332","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 182697?\nAnswer: 3, 60899","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 1.01 minus 67967865508?\nAnswer: -67967865506.99","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {z: 3, a: 9, o: 1, w: 1}. Give prob of sequence zaw.\nAnswer: 9\/728","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -346097 + 1437160. Is a a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-3 - -8) + -3 - 5?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 434, 445, 462, 485, 514?\nAnswer: 549","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -172*m + 176*m + 22636 - 11327 - 11353.\nAnswer: 4*m - 44","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is 1011433 + 2?\nAnswer: 1011435","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-5*2*sqrt(891))**2 + -4.\nAnswer: 89096","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0*c - c + 0*c)*(2 - 1 - 6)*(-c - 2 + 2 + (-4 - 2*c + 4)*(0 - 1 + 3) + 0*c - 2*c + 3*c - c - c + 3*c + 19*c - 2*c + 17*c).\nAnswer: 155*c**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -z = 5 - 22. Suppose 19*x + 11*x - 1020 = 0. What is the greatest common divisor of x and z?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -16 - -20. Let w(p) = p**2 - 5*p + 4. What is w(t)?\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose u + 2*q = -2*q + 9, 91 = 4*u + 5*q. Is u a multiple of 23?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1635?\nAnswer: 3, 5, 109","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 1162, 2562, 4252, 6256, 8598, 11302, 14392, 17892?\nAnswer: 21826","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.0009511 rounded to 4 decimal places?\nAnswer: 0.001","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let z(c) = -4*c + 3. Let q(d) = 11*d. Determine z(q(l)).\nAnswer: -44*l + 3","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 7.154 - 7.2. What is o rounded to 1 decimal place?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(v) = 2*v**2. Let p(l) = 118368*l. Determine j(p(h)).\nAnswer: 28021966848*h**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 89040249?\nAnswer: 3, 3297787","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (j**(2\/41))**15*j**27\/(j**14\/j) assuming j is positive.\nAnswer: j**(604\/41)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let d(v) = -5*v**3 - 38*v**2 - 37*v - 28. Let b(q) = -5*q**3 - 37*q**2 - 38*q - 27. Let l(p) = 8*b(p) - 7*d(p). Factor l(c).\nAnswer: -5*(c + 1)**2*(c + 4)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 3\/(-3)*-1*(-28)\/(-7)?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let j be 12\/48 - (-7)\/4. What is the derivative of -j*n**4 - 6*n**4 + n**4 - 1 wrt n?\nAnswer: -28*n**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(q) = -q + 87145. Let t(h) = -h. Determine g(t(f)).\nAnswer: f + 87145","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -5*r**3*x**3 + r**3*x**2 - 4*r**2*x**2 + r**2*x - 2*r*x**3 - 669*x**3 - 776*x wrt x.\nAnswer: -30*r**3 - 12*r - 4014","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify l**3\/(l**5\/l)*l\/l**(-7)*l\/l**(-4)*((l*l**(1\/2)*l)\/(l\/(l*l\/((l*l**(1\/5))\/l))))\/(l*l**(2\/11)*l\/l**(-5)) assuming l is positive.\nAnswer: l**(893\/110)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let o(w) be the second derivative of -29*w**8\/56 - w**6\/5 - w**5\/20 + 11*w**4\/4 - 129*w**2\/2 - 3448*w. Find the third derivative of o(r) wrt r.\nAnswer: -3480*r**3 - 144*r - 6","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -1109*r**5 + 54*r - 17?\nAnswer: -22180*r**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let k(t) = -2*t**2 + 98. Let p(i) = -36572*i**2. What is k(p(c))?\nAnswer: -2675022368*c**4 + 98","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -6 - -11. What is the second derivative of -14*m - 246*m**k + 2*m + 238*m**5 wrt m?\nAnswer: -160*m**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(g) = 2*g**2 + 90*g + 406. What is the remainder when 1480 is divided by j(-40)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(n) be the first derivative of -2*n**4 + n**3\/3 - 29*n**2 - 115. Let b(r) = r**3 - r. Let t(w) = 2*b(w) - z(w). Find the second derivative of t(q) wrt q.\nAnswer: 60*q - 2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 490 + 22*t**2 - 490 to the form d*t**2 + v + p*t and give v.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 w when two letters picked without replacement from owwooo?\nAnswer: 1\/15","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*q = 2*a - 5, -53*q + 66*q - 57 = -4*a + 48 for a.\nAnswer: 10","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let f(i) = -7*i - 41. Let k be f(-6). Suppose -4*g - 7*o = -3*o - 452, 0 = -o + k. Let p = g - -96. What is the hundreds digit of p?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 97*o - 55*o - 192192. What are the prime factors of o?\nAnswer: 2, 11, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of 318, 264, 208, 150, 90, 28, -36?\n\"Answer: -l**2 - 51*l + 370","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 48848 and 252324?\nAnswer: 172","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 240 is divided by 121.\nAnswer: 119","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve 184*z - 1131 - 704 = 557 for z.\nAnswer: 13","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let c(j) = j + 19. What is c(-7)?\nAnswer: 12","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let m(d) = -7*d**3 + d**2. Let a = -36 - -35. Let u be m(a). What is the common denominator of -139\/6 and (-8)\/(-14)*(-4 + (-86)\/u)?\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 419 minutes after 12:59 AM?\nAnswer: 7:58 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Express -167*c**2 + 79*c**2 + 87*c**2 + 326 in the form j + d*c + l*c**2 and give l.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -x = s + 204, -4*s = 3*x + 108 + 507. Let w = -232 - x. Sort 0, -2, w in increasing order.\nAnswer: w, -2, 0","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -0.1561? (a) -5 (b) -0.07 (c) -0.1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let x(n) = 3*n**2 + 14*n + 1. Let r be x(-5). Solve r*k - 28 = -4 for k.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-264)\/36)\/(-11)*-12?\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let d(p) = -7*p**3 + 3*p**2 + 4. Let a(i) = i**3 - i**2. Give -3*a(s) - d(s).\nAnswer: 4*s**3 - 4","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is 1a181 - -1?\nAnswer: 1a182","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 2808 - 2778. Which is the fourth smallest value? (a) -4\/3 (b) h (c) 3 (d) 5 (e) -0.14\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -60433, -60509, -60585, -60661, -60737?\nAnswer: -60813","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) 37 (b) 5 (c) 3 (d) -2 (e) -14\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is 65004854377 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 22130*w - 1078 wrt w.\nAnswer: 22130","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {m: 3, r: 4}. Give prob of sequence mrm.\nAnswer: 4\/35","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose k + 2*q = -15 - 7, -51 = 3*k + q. Let u(y) = -5*y - 88. Determine u(k).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is -328 - 5?\nAnswer: -333","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let u(w) = w**3 + 6*w**2 + 5*w + 2. Let d be u(-5). Let q = 907\/23 + -17639\/207. Let l = q + 46. Put l, d, -4 in decreasing order.\nAnswer: d, l, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.10153762503 to four dps.\nAnswer: -0.1015","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8*b = 4859 - 1475. List the prime factors of b.\nAnswer: 3, 47","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 3? (a) 4\/7 (b) 1\/3 (c) -6 (d) -4 (e) 0.063\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 0.179 - -0.021. Which is smaller: -0.155 or m?\nAnswer: -0.155","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 2 + 4 + ((-6*sqrt(425) - (((-4*sqrt(119))\/sqrt(7) - sqrt(17)) + sqrt(17)))*-6)**2.\nAnswer: 413718","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (-27)\/(-15) - (-2)\/(-1). Let v = 0.3 - 0.2. Which is the closest to 2\/9? (a) v (b) -1\/2 (c) p\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 135 - 132. Suppose c*g = 5*k + 1238, 5*g + k - 2110 = -0*g. Suppose -4*n + g = -227. What is the tens digit of n?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is -2 + 55?\nAnswer: 53","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 48880 is divided by 1359.\nAnswer: 1315","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.000002124 to six dps.\nAnswer: -0.000002","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from dcddccdccd. What is prob of sequence ddcd?\nAnswer: 5\/84","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let a(m) = -m - 10*m + 2*m. Let p(c) be the third derivative of c**4\/8 + 436*c**2. Calculate a(p(y)).\nAnswer: -27*y","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let o(j) = 7*j**2. Let x(w) be the second derivative of -w**3\/6 - 47*w**2\/2 + 4937*w. Determine x(o(f)).\nAnswer: -7*f**2 - 47","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let y be ((-130)\/(-13))\/((-19)\/2). Let o = y - 33\/95. Is -1 at most as big as o?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -2577 or -2135?\nAnswer: -2577","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let v(g) = -g**3 + 6*g**2 - 3*g + 4. Let b be v(5). Suppose -w = w - 4. Suppose 3*j - q = 4 + 5, -w*j + 4*q = 4. Solve 0 = -j*c - 6 - b for c.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 4592 - 45989\/10. Calculate the common denominator of r and 26\/333.\nAnswer: 3330","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 14*h**3*l*w + 2987036*h**3*w**3 + 2*h**2*l - 91*h**2*w**3 + 498640*l*w**3 wrt h.\nAnswer: 84*l*w + 17922216*w**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((i**(-4\/3)*i)\/i*i)\/i)**(-24)\/(i*i\/(i\/(i\/(i\/(i*i*i\/((i*i*i\/((i*i**(-7))\/i*i))\/i)*i*i))))*i)**(-6\/13) assuming i is positive.\nAnswer: i**(410\/13)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (1 - 4)\/(3\/(-2)). Let c(x) = -x**3 - 24*x**2 + 110*x + 26. Let s be c(-28). What is the greatest common factor of s and p?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -2463.6 minus -9526221?\nAnswer: 9523757.4","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -751\/6 + 125. Suppose m - 1 = 0, -3*z + 0*m - 2*m = 1. Which is the nearest to 2\/3? (a) x (b) z (c) 0.2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 28 divided by -4968390?\nAnswer: -2\/354885","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 5867*u**3 - 1464*u**3 - 1466*u**3 - 1471*u**3 - 1468*u**3.\nAnswer: -2*u**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is -d - -1?\nAnswer: -c","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (-8)\/(-3)*(-42)\/(-56). Sort -4, -44, l in ascending order.\nAnswer: -44, -4, l","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of -1434, -1437, -1440, -1443, -1446, -1449?\n\"Answer: -3*v - 1431","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 0 - -3 - (-4 - 19)?\nAnswer: 26","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let o(b) = 8*b**4 - 20*b**3 + 16*b**2 + 20*b - 20. Let s(g) = 7*g**4 - 19*g**3 + 15*g**2 + 19*g - 19. Let x(d) = -3*o(d) + 4*s(d). Factor x(t).\nAnswer: 4*(t - 2)**2*(t - 1)*(t + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-15 + 5)*3 - 0\/(-331)?\nAnswer: -30","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*d + 3 = l - 0, -2*l + 5*d - 5 = 0 for l.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let c(m) = 7*m**2 - 2*m - 1. Suppose u - 5 = j, 4*j + 7*u - 16 = 2*u. What is the least common multiple of c(j) and 8?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is 8561 - 30?\nAnswer: 8531","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.0015414 rounded to four dps?\nAnswer: -0.0015","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-43 - -45) + 1 + -18 + 5?\nAnswer: -10","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.000000535102 to 7 dps.\nAnswer: 0.0000005","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 0 minus -0.001569?\nAnswer: 0.001569","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -0.5 + -0.5. Let h = g - -1.4. Which is the smallest value? (a) h (b) 1\/3 (c) -0.4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(u) = -2*u**2 + 17*u + 7. Let o(g) = 2*g**2 - 17*g - 8. Let c(q) = 7*h(q) + 6*o(q). Let b(s) = s**2 - 8*s - 1. Let j(k) = 5*b(k) + 2*c(k). Give j(5).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.00000965866 to 7 dps.\nAnswer: 0.0000097","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*f = 104*i - 100*i + 10, -5*i - 2*f = 14 for i.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -15*z + 14 + 27 - 58 + 16.\nAnswer: -15*z - 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Product of -0.293845 and -4.\nAnswer: 1.17538","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 0.2 - 2.4. Let y = 2 + u. Let p = 38 + -36. Which is greater: p or y?\nAnswer: p","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 864884?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let t be 15\/(-14) - (-1)\/2. Let j = 1.4 - 0.4. What is the nearest to j in t, -2, -4?\nAnswer: t","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 402267*g + 617681 with respect to g.\nAnswer: 402267","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 5 + (sqrt(45)*-1)**2 - (sqrt(245) + (sqrt(245) + sqrt(245)*3)*-2).\nAnswer: 50 + 49*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 12688*j**2*l*w + 20*j**2*w - 85066*l + 2*w wrt j.\nAnswer: 25376*j*l*w + 40*j*w","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(1872)*2)**2 + sqrt(13) - sqrt(13))*-5.\nAnswer: -37440","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 424784 to the nearest integer?\nAnswer: 75","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*s - 427*h = -435*h - 252, 5*h = -3*s + 173 - 328 for s.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (j\/j**(-2\/7))**(19\/5) assuming j is positive.\nAnswer: j**(171\/35)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is 11361587 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is 235 + 4c542?\nAnswer: 4c777","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (z*z**(-1)*z*z**(-4))\/(z**(-5\/6)*z**(-4\/7)) assuming z is positive.\nAnswer: z**(-67\/42)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) -3\/5 (b) -0.3 (c) 3002\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -136 + 48234*u - 4600*u + 14238*u.\nAnswer: 57872*u - 136","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 555 is divided by 62?\nAnswer: 59","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let c(o) = -19*o + 76. Let d(f) = 83*f**2. Give c(d(s)).\nAnswer: -1577*s**2 + 76","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (5 + 4*(1 + sqrt(2299)) + (sqrt(2299) - (sqrt(2299) + 1*sqrt(2299)*2)))**2 - ((sqrt(2299)*4*4 - sqrt(2299)) + sqrt(2299) + 0 + 4)**2.\nAnswer: -579283 - 1012*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in 2\/9, 7, 832530?\nAnswer: 7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 48 = -190*g + 142*g for g.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 2 (base 10) in base 5?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Sort -10869, 5, -4, -240 in decreasing order.\nAnswer: 5, -4, -240, -10869","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 53 + -76. Let f = j - -43. Let n be (-16)\/f*10\/(-4). Solve h - 4*h = 5*s, s = n*h for h.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(l) = 3*l**2 - 4918. Let y(c) = 28*c**2. Give x(y(g)).\nAnswer: 2352*g**4 - 4918","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let a(v) = -v**3 - 2*v**2 - 10. Let y be (51\/(-34))\/(1\/6). What are the prime factors of a(y)?\nAnswer: 557","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 7.753259 decades in years?\nAnswer: 77.53259","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let l(s) = -4*s**3 + 5*s**2 - s + 5. Let n(w) = w**3. Let i(q) = l(q) + 3*n(q). Let k(d) = -9*d + 5. Let g be k(9). Let t = 81 + g. Determine i(t).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 214 is divided by 75.\nAnswer: 64","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*w + 2 = o, -10 + 0 = 5*o. Suppose 3*k = -w*t + 2075, 3*k + 2*t = -2*t + 2077. Is k a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out 1.53 * 0.4.\nAnswer: 0.612","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -14*n = -175531 + 102311. Does 10 divide n?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = y - 0*y. Let h(l) = 2 + 2*l**2 - l**2 + 6*l + y*l**2. Calculate h(-4).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of -4 + 13\/3 - (-1 - 164278\/6).\nAnswer: 3, 9127","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(s) = 32*s + 171. What is the hundreds digit of i(11)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(o) = -54 + 2 + 19 - 18*o - 6*o - 118 + 708*o**2. Is g(-6) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand j**3 - 2*j + 2*j - 2*j**3 - j**3 - 2*j**3 + (-4*j + j + 2*j)*(-2*j + 2*j - j**2).\nAnswer: -3*j**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) 5\/6 (b) 7 (c) -1539 (d) -0.1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*p - g = 1264, -2*g + 210 = p - 97. Calculate the highest common factor of 7 and p.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -50448 divided by 6306?\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 16843381 to the power of 1\/3, to the nearest integer?\nAnswer: 256","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is -1 >= 11\/164721?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 93*z + 9683 = 38606. Solve -11*k + 344 - z = 0 for k.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ae when two letters picked without replacement from {a: 7, e: 6}?\nAnswer: 7\/26","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 6 - 3. Suppose t = -n*c - 2*t + 9, 3*t - 14 = -4*c. Suppose -3*o = 3*b + 9 - 57, -c*o - 4*b = -77. Is o a multiple of 13?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -4518478, -18073912, -40666302, -72295648, -112961950?\nAnswer: -162665208","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is -127 - 82?\nAnswer: -220","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:45 AM and 12:29 PM?\nAnswer: 104","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -20*b - 7 + 87 for b.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of 783, 1566, 2349, 3132?\n\"Answer: 783*g","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -13*o + 1494 + 1366 = 0. What is the hundreds digit of o?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(x) be the first derivative of -327*x**5\/5 - x**3\/3 - 244*x**2 + 521. Find the second derivative of b(o) wrt o.\nAnswer: -3924*o**2 - 2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -3 - (1 + (-7 - 2))?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve -8130 = -277*g + 7105 for g.\nAnswer: 55","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (-71)\/(-3) - 2\/(-6). What is the common denominator of -73\/22 and -17 + 13 + 46\/c?\nAnswer: 132","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from mvzzzzdmzmszszddszmm. What is prob of picking 1 v and 3 z?\nAnswer: 56\/4845","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Put -4, 2467845, -3, -3\/5, 5 in descending order.\nAnswer: 2467845, 5, -3\/5, -3, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose b = 6*b - 5. Suppose -5*m - 3*j + 11 = -33, m + j - 10 = 0. Suppose -2*w + m*w + 5*h - 20 = 0, 0 = 2*w + 3*h - 7. Is w bigger than b?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 3*s**2\/7 - 1881273*s\/7 - 3762558\/7.\nAnswer: 3*(s - 627093)*(s + 2)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 3201907?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -5*h - o - 157 + 2869, -4*h - 2*o = -2160. Sort -3, 8, h.\nAnswer: -3, 8, h","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3*t - 4*t - 9*t + (-2*t + 5 - 5)*(4 + 4 - 6) + 4*t - 2*t - 5*t)*(-3*t**2 - 4*t**2 + 5*t**2).\nAnswer: 46*t**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let f(o) = -o. Let a be (0 - -1)\/(2\/12). Give f(a).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 36441 = 8*h + h. Is h a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out -0.276 * 0.1.\nAnswer: -0.0276","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -606.0333 + 606. Let t = 0.0334025 + p. Round t to five decimal places.\nAnswer: 0.0001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is -617a4 - -3?\nAnswer: -617a1","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is 11592997469 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (24 - 29) + (-2 - -3).\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -1\/12705 in -36, 0.4, 132?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of -13, -32, -51, -70, -89, -108?\n\"Answer: -19*b + 6","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of 2303116, 2303114, 2303102, 2303074, 2303024, 2302946?\n\"Answer: -l**3 + l**2 + 2*l + 2303114","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Convert 45 (base 10) to base 6.\nAnswer: 113","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 18524 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: Let c be 3 + (-644)\/(-2 + -2). Let o(b) = b**3 + 5*b**2 + 14*b + 35. Let v be o(-6). Let y = c + v. What is the units digit of y?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in 0, -20, 51, -0.0342, -2, -4\/7?\nAnswer: -4\/7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Sum -129218.8 and 2.6654206.\nAnswer: -129216.1345794","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1231 is divided by 403.\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 0.04 + 1.96. Let t = -1.11 + 0.11. Let o = -2 + t. What is the second smallest value in j, o, -5?\nAnswer: o","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Add -19868169 and -9.\nAnswer: -19868178","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve 11847*c + 1059*c = -1108*c + 42189 + 336189 for c.\nAnswer: 27","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let y(p) = p - 5. Let w = 232 + -136. Let d = w + -98. Let n(l) = -l**2 + 2*l - 6. Calculate d*n(a) + 3*y(a).\nAnswer: 2*a**2 - a - 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 86549, 173112, 259689, 346286, 432909, 519564, 606257?\nAnswer: 692994","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence qp when two letters picked without replacement from {z: 4, q: 1, p: 2}?\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of 104, 110, 114, 116, 116?\n\"Answer: -a**2 + 9*a + 96","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -48807*0.0471.\nAnswer: -2298.8097","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -634 - -798. What are the prime factors of w?\nAnswer: 2, 41","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(g) = g**2 + 10*g + 24. Let d be l(-7). Suppose 0 = -2*f + 5*s + 161, -d*s - 151 = -f - f. What are the prime factors of f?\nAnswer: 2, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(z) = -2*z - 1. Let k(q) = -q - 1. What is 7*k(b) - 3*r(b)?\nAnswer: -b - 4","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (7\/(-8))\/7 - (-1561267089)\/72. Suppose -4*b + v = -10315735. Round b to the nearest 1000000.\nAnswer: 8000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -328 + 386. Calculate the remainder when a is divided by 31.\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0 - 5 + 4)*(0 - 5 + 3)*(-212*k - 617*k - 311*k)*(31 - 15*k**3 + 5*k**3 - 33).\nAnswer: 22800*k**4 + 4560*k","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -962 - -2380. What is the hundreds digit of x?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t be ((-2)\/1)\/((-4)\/2). Let x be 0 + t + 0 + 4. Suppose 7*b - d = 3*b + 30, 0 = -3*b + x*d + 14. What is the units digit of b?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 183500?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -96*c**4 + 3*c**3*p - 2*c**2*p + 48*p wrt c?\nAnswer: -2304*c + 18*p","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred millions digit of 310524526?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-r + 4*r - 2*r)*(-721 + 350 + 279) - r + 0*r - r.\nAnswer: -94*r","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 116.9*-0.9.\nAnswer: -105.21","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is thirty-two fifths of a litre in millilitres?\nAnswer: 6400","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*h + 5*l + 7 = 26, 4*l = 3*h + 26 for h.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 x and 1 z when three letters picked without replacement from xzxzzz?\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is 3 a factor of 420?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let r(q) = -14*q**2 - 2*q - 10. Let h be r(7). Let s = 459 + 541. Let i be (h + -10)\/((-3)\/s). What is i rounded to the nearest one hundred thousand?\nAnswer: 200000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 409246 is divided by 51151?\nAnswer: 38","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Express 4*m**4 + 2*m**3 - 47*m - 12*m + 2 + 62*m - 83*m**2 - 1 in the form y + d*m + t*m**3 + x*m**4 + j*m**2 and give d.\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from swwwawa. What is prob of picking 1 w, 1 a, and 1 s?\nAnswer: 8\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.00025721 rounded to 6 dps?\nAnswer: -0.000257","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 16 and 25408.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let l(b) = b**3 + 3*b**2 - 5*b - 1. Determine l(-4).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let n(w) = 1 + 21*w - 21*w + 2*w**2 + 7*w. Let d be n(-2). Let v(g) = g**2. Let l(j) = 2*j**2. What is d*l(y) + 8*v(y)?\nAnswer: -2*y**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Expand (1 + 0 - 2)*(-8*p**3 + 4*p**3 + 2*p**3)*(-13 + 10 + 7).\nAnswer: 8*p**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 57235.\nAnswer: 5, 11447","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let h(c) = c**3 - 24*c**2 + 153*c - 52. Give h(15).\nAnswer: 218","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*k - 1 - 11 = -4*i, -2*k + 9 = 3*i. Suppose f = 5*p, -3*f - i*p + 20 = -8*p. Calculate the remainder when 56 is divided by f.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 11110000101100110111 (base 2) to base 5.\nAnswer: 223022121","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let f(d) = 93*d**3 - 5*d + 6. Let w(i) = 2*i**3 + i - 2. Calculate -f(p) - 4*w(p).\nAnswer: -101*p**3 + p + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let k(i) = -11*i**3 + 3*i**2 - 3. Let b(d) = -33*d**3 + 10*d**2 - 8. Let s(w) = 3*b(w) - 8*k(w). Find the third derivative of s(q) wrt q.\nAnswer: -66","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -29*z**3 + 7499*z - 924 - 14995*z + 7496*z + 924.\nAnswer: -29*z**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 49786 or 49788?\nAnswer: 49788","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0 - (-3 + 5 - 1).\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 11.2 + -10. Which is bigger: 1 or t?\nAnswer: t","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m be 2\/6 - 228\/144. What is the second smallest value in -2, 3, m?\nAnswer: m","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 142 < 1145\/8?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Factor 5*b**4 - 12410*b**3 - 451620*b**2 - 4079160*b.\nAnswer: 5*b*(b - 2518)*(b + 18)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 2, 14, 20, 20, 14, 2?\nAnswer: -16","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let i be ((-858)\/1224)\/13 + 1\/1. Let s = i + 7\/12. Calculate the common denominator of -57\/5 and s.\nAnswer: 85","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from rrrbbbrbubrrrbubbbr. Give prob of sequence rbrb.\nAnswer: 14\/323","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-6*(-1*sqrt(6)*-4 + -2*1*sqrt(6)))\/(2*-2*sqrt(242) - (sqrt(242) + 1*sqrt(242)*5 - sqrt(242))).\nAnswer: 4*sqrt(3)\/33","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is 6 a factor of 54\/(-4)*(-198)\/27?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 33*x**4 - 332*x**3 - x - 51*x**4 + 0*x + 16*x**4 - x**2 to the form t*x**4 + n*x**2 + z*x + g + p*x**3 and give n.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let w(g) = -5531492*g + 5531495. Calculate w(1).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -184 + 184. Suppose 7*b + 14 = 3*o + 5*b, 0 = -2*o - b. What is the closest to 1\/4 in w, o, -9?\nAnswer: w","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-1245)\/(-166)*((-28)\/7*3)\/5\nAnswer: -18","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let c(i) = -4340*i + 20386. Determine c(5).\nAnswer: -1314","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 145\/4344 and -95\/2172.\nAnswer: 4344","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let p(v) = 2*v**3 + 135*v**2 - 75*v - 477. Give p(-68).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence xv when two letters picked without replacement from {a: 4, v: 2, x: 1}?\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: 5*-2.8\nAnswer: -14","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Work out 1.61 * 0.06303.\nAnswer: 0.1014783","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let b(d) = -79*d - 3. Let f(m) = -150*m - 8. Give 5*b(o) - 3*f(o).\nAnswer: 55*o + 9","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let p(q) = -q**3 - 2*q**2 - q + 4. Let h be p(0). Suppose 2*k - 3*k + h = 0. Suppose -j - 565 = -k*v, v + v - 275 = 3*j. List the prime factors of v.\nAnswer: 2, 71","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (-18)\/(-42) - (-575004)\/630. Let r = o - 913. Let j = 14 - 22. What is the biggest value in r, 2\/11, j, -3\/4?\nAnswer: 2\/11","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of -5364, -11211, -17058?\n\"Answer: -5847*a + 483","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let i(f) = 68*f**2 - 24*f - 17. Let c(o) = 35*o**2 - 13*o - 9. Let y(k) = -7*c(k) + 4*i(k). What is the second derivative of y(g) wrt g?\nAnswer: 54","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 12005\/45 - (-4)\/18 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -0.6907 and 28.05?\nAnswer: -19.374135","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (10 - -8) + -19 + -2 + (15 - 8).\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {z: 5, g: 15}. What is prob of sequence zgg?\nAnswer: 35\/228","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-11)\/(-110) + -35*(-5)\/750)*9\/(-9)?\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 1044 and 1682?\nAnswer: 58","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve -96 + 36 = -4*p for p.\nAnswer: 15","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 1476896875\/413402 - -51\/37582. Let s = r - 3576. What is the common denominator of (-1)\/11*1*43 and s?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -5 - ((-782)\/68 + 0 + 6)?\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 146848 is divided by 19?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Express -8*i**3 - 3*i**3 - 127 - 2*i**3 + 114 in the form o*i**3 + n*i**2 + j + s*i and give j.\nAnswer: -13","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:09 AM and 8:32 AM?\nAnswer: 203","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let k be 12\/14*35\/15. Let f be -1*(2 - 2)\/(-1). Solve f = -2*m + m - k for m.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -8.007 - -8. Let s = k - 22.993. Let g = 23.52 + s. What is g rounded to one decimal place?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -19200 = 2*l - 4*l. Suppose 14*k - 16*k = -l. What is k rounded to the nearest 1000?\nAnswer: 5000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0? (a) 3538 (b) -3784 (c) -5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let l be 15 - 16 - ((-12)\/(-4) - 2). Sort -25, 0, l in increasing order.\nAnswer: -25, l, 0","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -82\/75 and 13\/10.\nAnswer: 150","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7*y + 38 = 9*y. What is the hundreds digit of 1\/(4 + y\/(-5))*39?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -25 - ((-7 - 40) + 55)?\nAnswer: -33","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let b(s) be the second derivative of -s**5\/80 + s**4\/16 - s**2\/2 - 2*s - 132. Solve b(n) = 0.\nAnswer: -1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put together 51108523.69 and 39.54.\nAnswer: 51108563.23","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-5*q**2 + 3*q**2 - 2*q**2)*(3*q + 0*q + 0*q)*(253*q - 263*q + 477*q).\nAnswer: -5604*q**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 c when two letters picked without replacement from {y: 2, c: 3, o: 5}.\nAnswer: 1\/15","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let t be -22*(-1)\/(-2)*-2. Let w = 27 - t. Suppose 0 = o + w*z - 9, o = -o + 5*z + 63. Is 12 a factor of o?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -s - s = 20. Suppose 6*t - 20 = t. Let f be ((-4)\/5)\/(t\/s). Solve 4*y - 22 = -f*b, b + y - 4*y = -14 for b.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose h + h - 4*j + 46 = 0, 3*j = -h - 43. Suppose n - 12 = 4*q - 0, -5*n - q = -18. Let k = n - h. Calculate the remainder when k is divided by 9.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 9.413097 millimeters to micrometers.\nAnswer: 9413.097","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 2 in -38, 10, 0.5, 19.2?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 35\/(-11) + 5 + 212\/(-44).\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*s + 5377*d = 5376*d + 8, 3*s - 4*d + 2 = 0 for s.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is -5570 divided by -21?\nAnswer: 5570\/21","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ywiy when four letters picked without replacement from {i: 4, y: 2, w: 10}.\nAnswer: 1\/546","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let u(x) = -5*x + 14. Let z(b) = -4*b + 15. Give 2*u(j) - 3*z(j).\nAnswer: 2*j - 17","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-3 - (0 - 1)) + (3 - -1).\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-1 + 0 + 0 + (2 + 1 - 2)*(2 + 2 - 2) + (-1 + 0 + 3)*(-3 + 1 + 1))*(-16*v - 5*v + 3*v).\nAnswer: 18*v","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 33122136 and 9424?\nAnswer: 248","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose x - 365 = -4*p - 0*x, -2*p + 2*x + 190 = 0. Calculate the remainder when p is divided by 19.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (110 - 107 + 9*q**4 + 2*q - 3*q)*(-4 + 1 + 1) as x*q**3 + j + w*q**4 + i*q + c*q**2 and give i.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose w = 36 - 49. Let n = w - -61. Is n a multiple of 4?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*c + z = 3, 4*c + 4 = 5*z - 11. Suppose c = 4*s + s. Solve s*r**2 + 3*r**2 - 2*r**2 = 0 for r.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 121 is divided by 4?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*i = -2*b - 12, 2*i + 5*b + 68 - 38 = 0. Let v = 21 + -2. Does 14 divide v\/2*6 - i\/13?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in 3855\/2, 3, -0.1, -0.54?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 19890925?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 84 and (75 - 67)*(-42)\/(-16).\nAnswer: 84","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(r) = r. Let s(h) be the third derivative of h**4\/24 + h**3\/6 + 195*h**2 - h. Determine k(p) + s(p).\nAnswer: 2*p + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 3\/28 of a week in seconds?\nAnswer: 64800","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.42868 to two dps.\nAnswer: 0.43","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let z(k) = 14*k**3 + k**2 + 2*k + 1. What is z(-1)?\nAnswer: -14","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*q + 2*o = -0*q + 2, -2 = -2*q + 2*o. Let n = 0 - q. Suppose n = -b + 5. What is the units digit of b?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -30 (base 4) in base 13?\nAnswer: -c","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -2 in 10, 0.5, -9, -0.06, 3\/25?\nAnswer: -0.06","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Factor -4*z**2 + 81152*z - 162288.\nAnswer: -4*(z - 20286)*(z - 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*l - 5*l = 3*j + 10, 2*l + 3*j + 8 = 0. Which is the third smallest value? (a) -398 (b) -0.4 (c) l\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 140 by 20.\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: 4 (base 13) to base 3\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -37 + 42. Solve 2*q = 3*q - d*l - 29, -l - 25 = -5*q for q.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 f and 1 d when three letters picked without replacement from {f: 7, d: 9}.\nAnswer: 27\/80","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -2\/45? (a) -2 (b) 1 (c) 106\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -1763, -1680, -1711, -1862, -2139?\nAnswer: -2548","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2 - 1 + 4)*(2*f + 3*f - 4*f) + (-2 + 2 + 2)*(-4 + 4 + 4*f)*(28 - 10 - 13).\nAnswer: 41*f","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let s(q) = q**2 + 8082*q + 64600. Give s(-8).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 2741066 is divided by 456796?\nAnswer: 290","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (-2)\/(-11)*6\/((-42)\/(-7)). Solve 0 + u*t**4 + 0*t + 2\/11*t**5 - 2\/11*t**3 - 2\/11*t**2 = 0.\nAnswer: -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 8*v - 2*v - 25*v + 20*v**3 wrt v?\nAnswer: 120*v","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (1\/1 + -1)\/(-1). Let j = -14 + 13. Sort j, 1, m in increasing order.\nAnswer: j, m, 1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.02206700925 rounded to three decimal places?\nAnswer: 0.022","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 1 + -1. Suppose k*j - j = d - 5, 0 = 3*d + 2*j - 17. What is the units digit of d?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 23142673 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let q(d) be the second derivative of 2*d**3\/3 + 8*d**2 - 22*d. What is the first derivative of q(u) wrt u?\nAnswer: 4","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 w when two letters picked without replacement from wlllllllwqwjl?\nAnswer: 1\/26","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_test"},"subset":"dm_maths"} +{"text":"Question: (17740\/(-140) - (-10)\/(-35))*(-56 + 55)\nAnswer: 127","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-30)\/12*24\/1110?\nAnswer: -2\/37","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 96 and 299322552?\nAnswer: 1197290208","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is -5 + (4 - (-4015)\/5) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(r) = 16*r - 8. Let c(d) = -17*d + 9. Let p(i) = -3*c(i) - 4*g(i). Is 44 a factor of p(-3)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify n**(-2\/11)\/n**(-11)*n**(-8)*n**(-8) assuming n is positive.\nAnswer: n**(-57\/11)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of -5202, -20829, -46874, -83337?\n\"Answer: -5209*b**2 + 7","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is 0 + 100100000011001?\nAnswer: 100100000011001","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 135, 101, 67, 33?\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -11800000 = -15*c + 5*c. Suppose k - 7 = z - 2, 0 = -3*z - 2*k + 5. Let v be 0 + c\/(z\/(-1)). Round v to the nearest 100000.\nAnswer: 1200000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*v - 24 = 4*v. Let k = 23 - 24. Which is the nearest to k? (a) v (b) -2 (c) -4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -422 - 452 - 318*z + 874.\nAnswer: -318*z","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.0000001342 rounded to 7 dps?\nAnswer: 0.0000001","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Convert 902797.4 years to centuries.\nAnswer: 9027.974","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -51 + 20*u + 31 + 15 - 7*u to the form y*u + m and give m.\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let w(i) = 9*i - 2. Let p be w(2). Suppose 0 = -t + 5, p = 5*l + 3*t - 24. Suppose 36 = l*a - a. What is the units digit of a?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 1754 - 1698. What is the remainder when 137 is divided by m?\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*b + 19*d - 14 = 5*d, 2*b - 5*d + 5 = 0 for b.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let s(h) = 2*h**2 + 10*h - 67. Let a(g) = -2*g**2 - 11*g + 63. Let q(k) = -6*a(k) - 5*s(k). Is q(-17) a multiple of 6?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -575? (a) -2 (b) 2\/5 (c) -13\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 594.573l?\nAnswer: 594573","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let 5*s**5 + 35*s**4 + 20*s**3 - 60*s**2 = 0. Calculate s.\nAnswer: -6, -2, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (2 + (sqrt(104)\/sqrt(2)*4)\/(-4*sqrt(484)))**2.\nAnswer: -4*sqrt(13)\/11 + 497\/121","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) 2\/7 (b) 1\/4 (c) 78 (d) 2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Does 15 divide 4466126001?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = i + 12 - 19. Suppose i = 5*p - 118. Suppose p*a - 512 = 9*a. What is the remainder when 158 is divided by a?\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -600 divided by -24.\nAnswer: 25","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(33)\/(sqrt(44)\/sqrt(4)) + sqrt(3) + 1 + sqrt(12).\nAnswer: 1 + 4*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let g(w) = -5005*w - 20. Let f be g(-2). Suppose -5 = 8*t - 9*t, -f = -2*o - 4*t. Is o a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1263*s + 3988 + 10620 = -30860 for s.\nAnswer: -36","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -269 - -353. Calculate the smallest common multiple of q and 12.\nAnswer: 84","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 351 and 17687046.\nAnswer: 39","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let h(r) = r**2 + 8*r + 0*r - r - 6*r. Let p(c) = -3*c**2 - 8*c + 1. Let q(n) = -4*n**2 - 8*n + 1. Let m(g) = 4*p(g) - 5*q(g). What is -14*h(k) + 2*m(k)?\nAnswer: 2*k**2 + 2*k - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Factor -6*y**3 - 32*y**2 + 3482*y - 3444.\nAnswer: -2*(y - 21)*(y - 1)*(3*y + 82)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -5*p - o + 74, 3*o + 0*o = 3*p - 48. Suppose -6*t + 660 = 38*t. Calculate the greatest common divisor of p and t.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -3*v**2\/7 - 1868754*v\/7 - 291020126043\/7.\nAnswer: -3*(v + 311459)**2\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let q(g) be the first derivative of -1\/6*g**3 - 2 + 0*g - 1\/8*g**2 - 1\/16*g**4. Factor q(r).\nAnswer: -r*(r + 1)**2\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -41*j**2 - 44*j**2 - 41*j**2 - 26*j**2 + 222*j**2 - 38*j**2 - 35*j**2.\nAnswer: -3*j**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {s: 2, t: 1, o: 2, r: 1, i: 1, h: 1}. What is prob of picking 2 o?\nAnswer: 1\/28","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((n*n\/(n*n*n**39)*n*n*n*n**(4\/15))\/(n\/(n\/n**(-8\/5)*n)*n\/(n\/(n*n**(-20)))))**8 assuming n is positive.\nAnswer: n**(-1696\/15)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7*p - 12 - 9 = 0. Let u(v) be the first derivative of 3*v**2\/2 + 3*v - 1. What is the units digit of u(p)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 8843 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is 3359199 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -11453 + 11452. Let h be (-12)\/(-32)*4\/(-9). Which is the nearest to h? (a) z (b) -3 (c) -2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: -6 (base 13) to base 12\nAnswer: -6","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -2 - 3. Let t be (2 - -1) + (-45)\/10. Sort v, 4, t in ascending order.\nAnswer: v, t, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 1495?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let x be -78 + (1 - 4 - -1). Let v(n) = n**3 - 10*n**2 + 7*n + 13. Let b be v(10). Let q = b + x. What is the closest to 1\/2 in -3, 0.1, q?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (4*p - 2*p + p)*(2951 + 113*p - 2951) in the form n + t*p + r*p**2 and give r.\nAnswer: 339","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -15*b - 27*b - 1 + 1 - 146*b - 30*b + 228*b.\nAnswer: 10*b","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -6*(sqrt(425) - (1 + sqrt(425))).\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -17 - 7 = -2*z. Let l = z + -7. Solve -3*w + 5*n - l = 0, 3*n - 7 = -w + 2*w for w.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*q - 2*v + 1 = 9, 5 = 5*q - 5*v. Solve -q*u - u = 3 for u.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 500 + -500. Is 12\/217 < y?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -100 + 246. Suppose -4*q + 45 + 99 = 2*y, 4*q + y - o = 0. Let b(d) = 37 - q + d - 3*d. Let h(t) = 8*t. What is h(b(f))?\nAnswer: -16*f","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -117857, -117856, -117855, -117854, -117853?\nAnswer: -117852","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let u be 2\/(-5) - 4\/(-10). Let s be u + 1 + 2*-2. Let k(v) = -2*v - 66. Let y be k(-32). Sort 0, y, s.\nAnswer: s, y, 0","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine x so that x**3\/5 - 775987*x**2\/5 + 1551971*x\/5 - 155197 = 0.\nAnswer: 1, 775985","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 225 and 114350?\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let l(b) = 34*b**3 - 5*b. Let n(y) = 266*y - 5. Let t be n(0). Let w(o) = -17*o**3 + 2*o. What is t*w(a) - 2*l(a)?\nAnswer: 17*a**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Work out -0.3 + -25761876179428.\nAnswer: -25761876179428.3","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1154 is divided by 181.\nAnswer: 68","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 291 minutes before 1:16 AM?\nAnswer: 8:25 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 644359 rounded to the nearest one hundred thousand?\nAnswer: 600000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -1.05 + 0.45. Which is the closest to -1? (a) 2\/7 (b) y (c) -5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*h = j - 3, 2*j + 34*h - 30*h = 0 for j.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 482584 to the power of 1\/8, to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 46\/7 - (7\/21)\/(56\/(-72))?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1\/4 of a milligram in micrograms?\nAnswer: 250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -14851 or -12434?\nAnswer: -12434","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -128 + 139 - (-4 - (2 + -3 + 6))?\nAnswer: 20","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (5 - 2 - -10 - ((6 - 9) + 22)) + 17.\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -781*f + 107?\nAnswer: -781","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 5898012 to the nearest integer?\nAnswer: 181","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 745982*d**3 + 31*d**2 - d - 4477.\nAnswer: 4475892","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve -27*v**4 - 1446*v**3 + 37341*v**2 + 106164*v - 54432 = 0 for v.\nAnswer: -72, -3, 4\/9, 21","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 407 is divided by 82.\nAnswer: 79","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (-5)\/(-30) - 58\/(-12). Suppose -2*d + 41 = -o*q, -5*d + 4*q - 36 + 181 = 0. Suppose 0*n = -n - 2*a + d, 0 = -2*a + 8. Does 5 divide n?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 19*k + 59 = 22*k + w, 65*k + w - 79 = 61*k for k.\nAnswer: 20","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((q*q**2*q*q*q\/q**(-13))**(-42))**(-5\/4) assuming q is positive.\nAnswer: q**(1995\/2)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is -172500 rounded to the nearest 10000?\nAnswer: -170000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is 10601 a multiple of 15?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let v(s) = -41 - 18*s - 16*s + 33*s. Let o(i) = 2*i + 102. Let q(c) = -5*o(c) - 12*v(c). What are the prime factors of q(12)?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 24 and 12536?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of 23, 31, 15, -49, -185, -417, -769, -1265?\n\"Answer: -4*s**3 + 12*s**2 + 15","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-16)\/8*1)\/(2\/(-60)*-3).\nAnswer: -20","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_test"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 684952?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -4.24 - -0.24. Let k = -1 + w. Let c = 0.9 + -0.6. What is the nearest to 0.2 in k, c, -1?\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Are 2\/7 and -3396.39 equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*p = -p + 8, 0 = -4*l - 3*p + 10. What are the prime factors of l*(-6)\/33 + 2580\/33?\nAnswer: 2, 3, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 r and 1 b when two letters picked without replacement from {b: 9, r: 7}.\nAnswer: 21\/40","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -809\/36 - -89\/4. What is the third biggest value in -2, p, 5?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:27 AM and 12:37 PM?\nAnswer: 670","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 118612 and 718515.\nAnswer: 37362780","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is 37328 a multiple of 3?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let r(y) = -y**2 + 2*y + 5. Calculate r(5).\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.009122732 to 5 decimal places.\nAnswer: 0.00912","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 161\/3306 and -101\/193134?\nAnswer: 106416834","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let h be ((-1)\/3)\/((-4)\/12). Let y be (-2)\/4*(-80)\/(-85). Let s = y - -33\/34. Is h > s?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -a + 3*r + 10 = a, -4*r = 4*a. Suppose 2*y - 196 = -a*p + 98, -3*y = -p + 167. Suppose -118 = -3*s + q, 4*q - p = -s - 3*s. Is s a multiple of 13?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is 7 - -b4?\nAnswer: bb","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let d(y) = -y**2 + 2*y - 1. Let q be d(4). What is the common denominator of ((-10)\/(-7))\/(4\/q) and -41\/4?\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 230 + 201 - 215 - 216 - 4431*v.\nAnswer: -4431*v","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 56081 is divided by 21.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-20*t**4 - 5*t**4 - 5*t**4)*(-1 + 1 - t).\nAnswer: 30*t**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Expand 0 - c**5 + 0 + (2*c**2 + c**2 - 4*c**2)*(-143 + 143 - 2*c**2)*(0*c + 0*c + 2*c).\nAnswer: 3*c**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in -1, 1\/2, 1\/32, 31, 0?\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -40766 - -40775. What is the smallest common multiple of w and 1410?\nAnswer: 4230","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*c = 2*c + 8. Let l(k) = -5*k**3 + 2*k**2 - 2*k - 4. Let f be l(c). What is the derivative of -30*p**2 + 5*p - 5*p - f - 25 wrt p?\nAnswer: -60*p","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 18*l - 21*l + 6 = 0. Let t be l\/(-4) + (-16900001)\/(-2). Round t to the nearest one million.\nAnswer: 8000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -195 - -236. Suppose 6*i = y - 29. Solve i*g + 2*u + u = -11, 3 = -g + u for g.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 174486 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: Let z(d) = 37391*d - 83. Is z(2) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 930631 to the power of 1\/2, to the nearest integer?\nAnswer: 965","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let u(q) = 143*q + 4. Let z be u(7). Let v be ((-6)\/(-9))\/(-1) - z\/(-1494). Which is smaller: v or -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred millions digit of 3147779989?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let m(i) = -20*i**2 - 15*i - 30. Let c(x) = 2*x**2 + x + 2. Let f(v) = 15*c(v) + m(v). Let d(z) = -121*z**2. Determine d(f(u)).\nAnswer: -12100*u**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let b(u) = -15*u - 255. Let x be b(-17). Solve 38*q - 28*q - 30 = x for q.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m be ((-4375)\/132762)\/(2\/4). Let c = -1\/327 + m. Which is smaller: c or 2\/5?\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: -0.1*-5203\nAnswer: 520.3","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -480 or 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is -23.1684 times -1?\nAnswer: 23.1684","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 3*b**2 - b**2 - 4*b**2 + (-b + b - b)*(-3*b + 2*b + 0*b) + 4467*b**2 + 4030*b**2 - 344*b**2 - 820*b**2 to the form s + l*b + w*b**2 and give w.\nAnswer: 7332","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 1766\/(-28) - 3 - (-17)\/(-17)*20\/(-280)?\nAnswer: -66","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 17430 (base 9) to base 11.\nAnswer: 9033","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Work out -38512836 * 0.2.\nAnswer: -7702567.2","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -11\/6120 and 73\/48?\nAnswer: 12240","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 f and 1 h when two letters picked without replacement from {d: 1, f: 4, h: 7, e: 2}?\nAnswer: 4\/13","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Divide 1158022656 by -5169744.\nAnswer: -224","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is 651 a multiple of 3?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ryyy when four letters picked without replacement from {r: 5, y: 3}?\nAnswer: 1\/56","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 190 + -186. Suppose -v*r = 17*r - 8841. What are the prime factors of r?\nAnswer: 421","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from xcacaakxaknkknkckakc. What is prob of picking 1 k and 2 c?\nAnswer: 7\/190","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 6783455 to the nearest integer?\nAnswer: 2605","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*v - 3 = -5*c - v, -6 = -c + 2*v. Let b(u) = u + 36. Let t be b(c). Let q = t + -106\/3. Which is greater: q or 2?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is 363653 - -40?\nAnswer: 364023","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let k(v) = -v**2. Let r(z) = 4*z**2 + 40. Determine -5*k(l) - r(l).\nAnswer: l**2 - 40","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0.02, -4, -11, 5 in increasing order.\nAnswer: -11, -4, 0.02, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Product of -282 and -0.7.\nAnswer: 197.4","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-56)\/(-1568) + (-15)\/28.\nAnswer: -1\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(n) = -2*n + 69 + 6*n - 4*n + 7*n. What is the remainder when a(19) is divided by 68?\nAnswer: 66","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(q) = 1. Let z be (1 + -2)\/((-5)\/(-15)). Let n(w) = -w - 6. Determine z*i(h) - n(h).\nAnswer: h + 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify f**(-11)\/((f*f*f**22)\/f) assuming f is positive.\nAnswer: f**(-34)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 88\/(-20)*(-400)\/(-160).\nAnswer: -11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*r = -5*r. Suppose r*a + 4 = 4*a. What is the lowest common multiple of 2*(11 + 0)\/a and 2?\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of -536, -534, -530, -524, -516?\n\"Answer: o**2 - o - 536","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let n(j) = -j**2 - 19*j + 9. Calculate n(-19).\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is -12 equal to 0.63?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (30\/75)\/((-42)\/30)?\nAnswer: -2\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (23 + -53 - 68) + (-5 - -1) + 16.\nAnswer: -86","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*o**4\/4 + 21*o**3\/4 + 51*o**2\/4 + 27*o\/4 = 0. What is o?\nAnswer: -1, 0, 9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -3490 - -3490. Sort 0.1, 4, z, 3\/17 in ascending order.\nAnswer: z, 0.1, 3\/17, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -588 - 2*y**3 + 1142 - 554.\nAnswer: -2*y**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -1164 + 1169. What is the nearest to -5 in -0.1, x, 0.4, 4?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (0 + (-70)\/4)*84\/(-315). Let n = 10537 + -10537. What is t in -16\/3 + 8*t - o*t**3 + 2\/3*t**5 + 4\/3*t**2 + n*t**4 = 0?\nAnswer: -2, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(c) = -c**2 + 54*c + 8. Let b be g(54). Let d(t) = -t**2 + 12*t - 10. What is d(b)?\nAnswer: 22","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of -7716, -7717, -7718, -7719?\n\"Answer: -v - 7715","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 2 - 52\/16 - (-140)\/280.\nAnswer: -3\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is 7403095069 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 1768?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (-8)\/324 - (-59950)\/405. Suppose 3 = 3*g - 108. What is the highest common divisor of r and g?\nAnswer: 37","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 4*i**4 + 600*i**3 + 29376*i**2 + 436968*i - 1591812.\nAnswer: 4*(i - 3)*(i + 51)**3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is -10112111211 (base 3) in base 13?\nAnswer: -25900","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*q - 209 = 3*n, 5*n + 215 = 2*q - 7*q. Sort q, 0, -4 in increasing order.\nAnswer: q, -4, 0","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -3.7 + 8.7. Which is the biggest value? (a) 2 (b) w (c) 0 (d) -5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2654267184?\nAnswer: 2, 3, 41, 277, 541","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*j**3\/11 + 1266*j**2\/11 + 92632*j\/11 + 66600 = 0. What is j?\nAnswer: -550, -74, -9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Factor 5*a**2\/6 - 2694865*a.\nAnswer: 5*a*(a - 3233838)\/6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 0 or 1\/71?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence iih when three letters picked without replacement from {h: 3, i: 4, v: 11}.\nAnswer: 1\/136","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (4\/((-40)\/(-6)))\/1.\nAnswer: 3\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (5*sqrt(2160)*-1 - -5*-2*sqrt(2160))\/(sqrt(18)\/(sqrt(30)\/sqrt(5)) - (sqrt(36)\/(sqrt(48)\/sqrt(4)) - sqrt(3))).\nAnswer: -180*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: -24805590 divided by 4961118\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is -52174 + 17?\nAnswer: -52157","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:20 AM and 11:18 AM?\nAnswer: 298","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2\/3*n**5 + 46\/3*n**3 - 32\/3 + 6*n**4 - 16*n + 14\/3*n**2 = 0.\nAnswer: -4, -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(n) = -20*n - 11. Let q(c) = -3883*c + 1950*c - 1 + 1943*c + 3 + 3. What is -4*a(r) - 9*q(r)?\nAnswer: -10*r - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-1 - -3) + 7 + 53 + -37 + -9?\nAnswer: 16","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let f(a) = a**3 - 16*a**2 + 27*a + 15. Give f(14).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2 - 4 + 5)*(2*k - 2*k + 3*k) - 34 + 19*k + 34 + (-1 + 0 + 0)*(-k - 4 + 4).\nAnswer: 17*k","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 7\/2 of a litre?\nAnswer: 3500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 185011?\nAnswer: 17, 10883","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 6 + -9. What is the lowest common multiple of 7 and j\/5 - (-106)\/10?\nAnswer: 70","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(h) be the second derivative of -h**4\/3 + h. Let d = 24 - 18. Let o(a) = 6 + 0 - 2*a**2 - d. Give s(o(y)).\nAnswer: -16*y**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of 10063, 9836, 9609?\n\"Answer: -227*i + 10290","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*j + 12*d = 68, j + 122 = 5*d + 99 for j.\nAnswer: -8","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let j(v) = 2*v**2 - 8*v - 12. Suppose 4*d = 8*d - 36. What is the remainder when j(d) is divided by 27?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-138*m + 61*m + 48*m)*(-m**2 + 14*m**2 - m**2).\nAnswer: -348*m**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let q(i) = -55*i - 72. Is 31 a factor of q(-4)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.00006051454 rounded to seven dps?\nAnswer: -0.0000605","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (0 + 2*w + 0)*(4 - 1 - 1) - 5*w - 14 + 14 + (10 - 28 + 12)*(-6*w + 9 - 9) to i + h*w and give h.\nAnswer: 35","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let g(q) = -q**2. Suppose 0 = -3*a - 0*a - 0*a. Let d(w) be the second derivative of a + 1\/12*w**4 - w + 0*w**2 + 0*w**3. What is d(g(i))?\nAnswer: i**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Sort -4, -38, -77, -3, 2.\nAnswer: -77, -38, -4, -3, 2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in b - 8*b + 14*b**2 - 87*b**2 + 334*b**2 + 9*b.\nAnswer: 261*b**2 + 2*b","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 955 is divided by 256?\nAnswer: 187","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 20194\/83781 + 1\/2889. Suppose 3*w + 5*b = w + 18, -3*b = -12. Which is smaller: w or v?\nAnswer: w","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 16644173395 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0*x + 2 - 7*x + 5*x)*(6*x - 3*x + 0*x)*(-1 - 58 + 3).\nAnswer: 336*x**2 - 336*x","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4 = l + 3*l. Let i(g) = 708*g**2 - g. Is i(l) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 3218.\nAnswer: 2, 1609","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -121 + 136 = 5*h. Solve -4 = x + 4*x + 4*u, -3*x + h*u + 3 = 0 for x.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 1330 and 38.\nAnswer: 38","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -d - 12 = -2*m, 60 = -5*d + 5*m + 10. Let l be 1 + 1 + -1 + (-33560)\/d. Suppose -5*z = -z - l. Is z prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 79236*x**3 + 80367*x**3 - 152749*x**3.\nAnswer: 6854*x**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let q(s) = 7*s**2 - 4*s + 2. Let d(p) = -6*p**2 + 6*p**2 + 8*p**2 + 2 - 5*p. What is 5*d(t) - 6*q(t)?\nAnswer: -2*t**2 - t - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3 + 13 + 8)*(13*g - 27*g - 37*g).\nAnswer: -918*g","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 3 - (-12 - (32 + -23))?\nAnswer: 24","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1926?\nAnswer: 2, 3, 107","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 6176382031 to the nearest integer?\nAnswer: 1835","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve t + 3*s = -5, 2*t - 23*s = -22*s - 17 for t.\nAnswer: -8","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 8500.585 kilograms in nanograms?\nAnswer: 8500585000000000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 723, 1419, 2115?\nAnswer: 2811","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 1105243 (base 8) in base 12?\nAnswer: 1242ab","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let f(x) = 120*x**3 - 4*x**2 - x + 8. Let a(s) = -241*s**3 + 7*s**2 + s - 14. Determine 3*a(j) + 5*f(j).\nAnswer: -123*j**3 + j**2 - 2*j - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 33 is divided by ((-18)\/63)\/(2\/(-14))*6.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*x = -4*f - 34, x - f = 60 - 49. Solve 2 = z + 5*c, -x = -31*z + 33*z - 4*c for z.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 869 a multiple of 79?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (-1 - -85)*(-2)\/(-4). Suppose -2*p + p = -s. Let g(k) = -k**2 + 13*k - 25. What is the remainder when p is divided by g(5)?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 2995003 divided by -24?\nAnswer: -2995003\/24","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose n + 5*b = -22 - 101, -b = -5*n - 537. Let k = n - -120. Solve -4*a = -k, -3*r - 4*a + 12 = -a for r.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 219 - 129. Let u = -1695 - -1644. Let k = w + u. Is k a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(x) = -x**2 + 8*x - 5. Let g be k(10). Let q = 47 + g. Calculate the remainder when 86 is divided by q.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 76012 and 2883.\nAnswer: 7069116","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (l*l*l**(-1\/28)\/l)\/((l\/(l*l\/(l\/l**(-2\/41))))\/l) assuming l is positive.\nAnswer: l**(2199\/1148)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let a(c) = 11*c. Let k(h) = -2*h. Determine -6*a(l) - 34*k(l).\nAnswer: 2*l","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of -30326, -242449, -818208, -1939421, -3787906, -6545481?\n\"Answer: -30303*y**3 - 2*y - 21","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*j - 36 = -46. Let d(z) = 4*z**3 + 2*z**2 + 11. Let b(y) = 2*y**3 + y**2 + 5. Determine j*b(s) + 2*d(s).\nAnswer: -2*s**3 - s**2 - 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2 = -z - 0*z. Let v be ((-13)\/z + 1)*2. Let t(q) = q + 12. What is the remainder when 3 is divided by t(v)?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 584 minutes after 1:51 PM?\nAnswer: 11:35 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the billions digit of 3700117754?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is 37 a factor of 344537?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*v - 3 = 3 for v.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (k**3*(k**(-11)*k)\/k)**(-14) assuming k is positive.\nAnswer: k**112","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 43355649 to the power of 1\/2, to the nearest integer?\nAnswer: 6585","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 69352 to the power of 1\/2, to the nearest integer?\nAnswer: 263","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: -26481 divided by 13\nAnswer: -2037","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1586*g = 1301*g + 1425 for g.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose t - g - 17 = 0, 5*t - 2*g - 8 = 62. Solve -w + t = 16 for w.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*t - 67 = 3*s, 10*s - 2*t + 5*t = -108 - 90 - 29 for s.\nAnswer: -23","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let s(q) = 128*q**2 + 4*q - 11. Suppose -7*c - 5 = -33. Is s(c) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(j) = 11*j**3 - 7*j**2 - 5*j + 1. Calculate m(-1).\nAnswer: -12","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is (-114)\/152*-12*-1*(-3)\/3?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let c(q) = q**2 + q - 1. Let n(v) be the third derivative of -v**5\/30 - 5*v**4\/24 - v**3\/6 + 2672*v**2. Give -c(f) + n(f).\nAnswer: -3*f**2 - 6*f","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Express -14054 - 12*v + 14054 - v**2 - 3*v**3 in the form l*v + g*v**3 + s*v**2 + o and give g.\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let q(r) = 941*r**2 + 54*r + 1. Give q(-1).\nAnswer: 888","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is 37199 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is d - -53a6?\nAnswer: 53b5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = k - 44 + 44 for k.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -35*g**2*j**2 - g**2*j - 12*g*j**2 + 2*g + j**2 wrt g.\nAnswer: -70*j**2 - 2*j","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 229679 to the power of 1\/2, to the nearest integer?\nAnswer: 479","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let t(s) = s. Let p(g) = 122*g. Determine t(p(y)).\nAnswer: 122*y","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 422760 divided by 24?\nAnswer: 17615","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let i(n) = -n**3 - 27*n**2 - 115*n - 43. Give i(-21).\nAnswer: -274","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let l(d) = -d**3 - 17*d**2 + 14*d - 28. Let b(x) = -x**2 + x - 1. Let r(i) = -2*b(i) + l(i). Is 7 a factor of r(-16)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -0.2 in 3, -12, 2, 10?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 122 - 122.0000208. What is y rounded to 6 decimal places?\nAnswer: -0.000021","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 4 (base 5) in base 3?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let a(b) = -1. Let z be (-7 + 1)*2\/3. Let x(h) = 2*h**3 - 2. Let s(d) = z*a(d) + x(d). What is the first derivative of s(w) wrt w?\nAnswer: 6*w**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(c) = c**2 + 123*c - 3218. What is d(-145)?\nAnswer: -28","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 4775274 and 9558?\nAnswer: 162","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(99)*-1*4 + sqrt(99) - (-1*sqrt(99) - sqrt(99))*-5)\/(-3*-3*sqrt(144)*6).\nAnswer: -13*sqrt(11)\/216","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*v + d = 2*d + 84, 0 = -5*v - 4*d + 123. Let m(z) = z**3 - 11*z**2 - 12*z + 10. What is the remainder when v is divided by m(12)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 222863843 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let -3*o**2\/2 + 27966*o - 130349526 = 0. Calculate o.\nAnswer: 9322","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -0.45 - -0.4. Let q = 10.99 + -11.19. Which is the nearest to 0.1? (a) q (b) 0.3 (c) z\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -1 - -1. Suppose a - w = -3 - 3, a + 3*w - 14 = 0. Let x be (8\/(-1) + 3)\/a. Solve 5*v + x = -t for v.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -128*c**2 - 72 + 72 - 7*c**4 + 126*c**2 + 24*c**3 to the form n*c + x + y*c**4 + k*c**3 + o*c**2 and give o.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-18)\/(6\/2)*96\/(-20)*165\/(-891).\nAnswer: -16\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is -1000010101 + -1110?\nAnswer: -1000100011","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -2*c + 2*c**2 + 8*c - 11*c + 2*c to the form g + a*c**2 + b*c and give a.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let l(d) = 118*d - 1649. Let v be l(14). Put 5, v, -3, 81 in increasing order.\nAnswer: -3, v, 5, 81","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 16582 >= 16611?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -5 + -1 + 7 + (2 - 1).\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -24*h - h + 11575. Let o = h + -510. What is the second smallest value in o, 5, -2\/5?\nAnswer: -2\/5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine y, given that -5*y**5 + 275*y**4 + 3505*y**3 - 16915*y**2 + 22240*y - 9100 = 0.\nAnswer: -14, 1, 2, 65","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -53\/639 and 52\/3?\nAnswer: 639","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (-11 + -1)\/(52\/(-78)). Solve -4*z - 2*t - u = -0, 0 = -5*z + 4*t - 16 for z.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 978354977 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 815, 829, 865, 935, 1051, 1225?\nAnswer: 1469","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (0 - 1)\/((-1)\/4). Suppose 23 + 315 + 62 = -40*n. Put -2, n, m in descending order.\nAnswer: m, -2, n","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -15053*y = -17*h - 15056*y + 145, 44 = 4*h + 4*y for h.\nAnswer: 8","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let p(r) = r**2 + 4*r - 2. Let h = 14 - 5. Calculate the smallest common multiple of h and p(-5).\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*s = 3*s. Let a be (4*(s + -1))\/2. Let v be -1 - a - (-3 + -1). Sort v, -3, 2.\nAnswer: -3, 2, v","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) 4\/3 (b) 1\/11 (c) -1.4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let j(a) = -33*a - 222. Let d be j(-8). Let o be (4 - 4)\/(7\/(d\/12)). Solve -t - 10*t + 11 = o for t.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Are 10271 and 10260 unequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let c(w) = -w - 9. Let a = 9 + -19. Let x be c(a). What is the units digit of 30\/x - 9\/(36\/(-8))?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 62 and ((-8)\/(-5 + 4))\/((-2)\/(-4)).\nAnswer: 496","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-y - y + 0*y)*(-2 + 2 - 1) - 4*y + y + 16*y - 2*y + 3*y + 0*y - 2*y + 0 + 0.\nAnswer: 14*y","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let f(v) = -v. Calculate the remainder when 24 is divided by f(-5).\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 96008585 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (3\/2)\/(36\/(-8) + 5). Suppose 3*o = -3*h - h + 262, h + 257 = g*o. What is the units digit of o?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put together 0.06081 and -21577718.\nAnswer: -21577717.93919","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (4\/(-5))\/((-2)\/10). Let f = -803\/3 + 269. Factor -10*p**2 - 2*p**c - 22\/3*p**3 - f - 6*p.\nAnswer: -2*(p + 1)**3*(3*p + 2)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(b) = -b**3 - 9*b**2 + 448*b + 1187. Give m(-25).\nAnswer: -13","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 6? (a) -1 (b) 2 (c) 10\/27 (d) 4 (e) 5\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: -0.4 times 8.21\nAnswer: -3.284","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is 1123c + -1d?\nAnswer: 1121f","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 2 in -0.218, 2\/3, -0.13, 6?\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 3406911 is divided by 362?\nAnswer: 129","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let r(k) be the third derivative of 4*k**2 + 0*k + 0*k**4 - 1\/6*k**3 + 0 + 1\/20*k**5. Give r(-2).\nAnswer: 11","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*w - 1 - 1. Suppose -3*x + 12 = q - 4*q, 2*x = 4*q + 8. Suppose 3*r - 3*d + d + 2 = q, -23 = 2*r + 3*d. Sort w, r, 0 in ascending order.\nAnswer: r, w, 0","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let 2*s**3\/17 + 36048982*s**2\/17 + 162441047782048*s\/17 - 812206140135040\/17 = 0. What is s?\nAnswer: -9012248, 5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 3\/((-17)\/((-476)\/(-7)))?\nAnswer: -12","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -43.17 + -5.43. Let j = d + 46.63. Let l = j + 0.17. What is l rounded to zero dps?\nAnswer: -2","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 571845.5 tonnes to milligrams.\nAnswer: 571845500000000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -9 + (2 - -4) - -4.\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let a(h) = -44*h - 1. Let v(o) = o. Determine a(v(b)).\nAnswer: -44*b - 1","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 12428211 to the nearest integer?\nAnswer: 3525","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Which is the sixth biggest value? (a) -5\/3 (b) -2\/3 (c) -2 (d) 2\/13 (e) -4 (f) -9 (g) -2\/351\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: 852400621689 + -0.421\nAnswer: 852400621688.579","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-4*d + 5*d + 14*d)*(-52 + 14*d**3 + 52)*(-12 - 6 + 15).\nAnswer: -630*d**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 1\/2? (a) 1\/4 (b) 4 (c) 10561.3 (d) -2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence yn when two letters picked without replacement from {q: 2, x: 4, y: 1, n: 8}?\nAnswer: 4\/105","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -10 - (-5 - 0) - -5.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 7552 a multiple of 10?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:04 PM and 12:00 AM?\nAnswer: 56","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 13\/120 and 157\/26300160.\nAnswer: 26300160","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -3 divided by -36.\nAnswer: 1\/12","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 235156 to the power of 1\/2, to the nearest integer?\nAnswer: 485","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -0*z - 5*z + 20. Let q be -9 + 13 + (-6 - -289). Let p = -277 + q. Calculate the highest common factor of z and p.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -199\/3 - -66. What is the third biggest value in o, -5, 2, 0.5?\nAnswer: o","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 10229603843 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -20*m - 6090 = -5*m. Let z = 410 + m. Put -34, z, 1, 0 in descending order.\nAnswer: z, 1, 0, -34","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 115 + -375. List the prime factors of (h\/(-25))\/(18\/15 + -1).\nAnswer: 2, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 23*n**4 - 7*n**3 - 16*n + 9 wrt n?\nAnswer: 276*n**2 - 42*n","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let q(t) = 3*t**2 - 8*t - 2. List the prime factors of q(6).\nAnswer: 2, 29","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many decades are there in 8\/25 of a millennium?\nAnswer: 32","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 853446\/359 or 2376?\nAnswer: 2376","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-6*g + 42*g - 74*g)*(-11*g**2 + 52*g - 52*g).\nAnswer: 418*g**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-1)\/(-19))\/((-69)\/6 + 11)?\nAnswer: -2\/19","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 0.1 or -202771?\nAnswer: -202771","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is -10 - 12113221?\nAnswer: -12113231","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is 1713389 bigger than 27414225\/16?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let b(c) be the second derivative of -c**4\/3 - 16*c. Let z(o) = o + 2*o - 4*o. Calculate b(z(x)).\nAnswer: -4*x**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: 0.737 - 1258\nAnswer: -1257.263","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*o = -39 + 31. Suppose 5*g + i = 16, -6*g = -3*g + 3*i. Sort 11, g, -3, o in descending order.\nAnswer: 11, g, o, -3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 24 divide 9133776?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 15 + -10 - -6 - 1?\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose a = -2*a - 3*w + 12, a - 3 = -2*w. Suppose -5*n + 16 = -4. Which is smaller: a or n?\nAnswer: n","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of 6239, 6235, 6231, 6227?\n\"Answer: -4*b + 6243","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is -1437 + 4?\nAnswer: -1433","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 295 and 35?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -50*x - 6 = -52*x. Suppose -4 = x*o - 13. Solve -2*s - 3*g = -0*s - 12, -3*g = -o*s + 3 for s.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 17243 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: How many nanograms are there in thirteen fifths of a microgram?\nAnswer: 2600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*q = -5*p - 29, 4*q - 8*q = -5*p - 53. Suppose -q*c + 303 = 39. Is c at least 1?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -a - 2*w + 166 = w, 3*a - 538 = w. What is the units digit of a?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -427265*n**2 + 213647*n**2 + 213648*n**2.\nAnswer: 30*n**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 85 and 175185?\nAnswer: 85","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -4 - 252*u + 4 + 0 + 653*u to f + j*u and give j.\nAnswer: 401","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 292431 and 642?\nAnswer: 321","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 190\/(-210) + (2 - (-5)\/(-3))?\nAnswer: -4\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 56 = 9*h + 2. Suppose -h = -r + a, r - 3*r - a + 6 = 0. Solve -3*l + 9 = -5*f - l, -2*f - r*l = -6 for f.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence nawg when four letters picked without replacement from nwngwgwgnawnwngn?\nAnswer: 1\/364","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -4\/9? (a) -0.4 (b) 1\/15 (c) 2 (d) 1 (e) 4 (f) 208\/11\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 188288 times -1?\nAnswer: -188288","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((d**(-2\/11)*d)\/d**(3\/2))\/(d**3*d\/(d**(-3\/7)*d))*d**(2\/13)\/(d*d**2\/d)*(d*d**5)\/(d*d\/((((d\/((d*d**3*d)\/d))\/d)\/d*d)\/d)) assuming d is positive.\nAnswer: d**(-13927\/2002)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 986214?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {k: 15, a: 3, q: 2}. What is prob of sequence kk?\nAnswer: 21\/38","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*r = -3*r - 10. Let m = 2 - 2. Suppose -y - 5*q + 0*q + r = m, -y + 2*q + 31 = 0. Solve -y = 2*t + 3*t for t.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is 11 + 102211112?\nAnswer: 102211200","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth root of 1185 to the nearest integer?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let g(f) = -f**2 - 9*f - 6. Let r be g(-8). Suppose -c - 47 = -r*c. What is the units digit of (c\/(-2))\/(6\/(-12))?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (2\/(-30) + (-133)\/(-285))*(-2 + 17)?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {n: 1, b: 3, z: 4, g: 1, c: 2, r: 1}. What is prob of picking 1 g and 1 c?\nAnswer: 1\/33","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (0 + (2*(sqrt(78) + -1*sqrt(78)))\/((sqrt(6) - sqrt(72)\/(sqrt(12) + sqrt(12)*3)) + sqrt(6)))**2.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 7085.626 millennia in months?\nAnswer: 85027512","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 2536704218 to the nearest integer?\nAnswer: 50366","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 226326 to the power of 1\/2, to the nearest integer?\nAnswer: 476","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 0\/((-3*(-15)\/(-9))\/1)?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-24 - (-37 - 1)) + 6 - (-1 + 0)?\nAnswer: 21","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Round -130.33 to zero dps.\nAnswer: -130","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Round 37281629.4 to the nearest one hundred thousand.\nAnswer: 37300000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 4\/7? (a) -9 (b) -0.3 (c) 0.1 (d) 0\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 229987 is divided by 43.\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1380*n + 12246 = 909*n for n.\nAnswer: -26","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 18433616?\nAnswer: 2, 739, 1559","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 8*b*f**3 - 2*b*f + 61*b - 64*f**5 - 2*f wrt f.\nAnswer: 48*b*f - 1280*f**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -51\/290 and -3 + 0 + 275\/(-40) - -7.\nAnswer: 1160","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((u**(-1)*u)**2*(u\/u**(-5))\/(u*u\/u**(1\/3)))**(3\/13))**(8\/11) assuming u is positive.\nAnswer: u**(8\/11)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -25\/57 - -2\/19. Let o = 2 - 1. Let n = -0.087 + -1.913. Which is the closest to o? (a) n (b) 1 (c) p\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(n) = 5*n**2. Suppose -21*p + 26*p - 30 = 0. Let j(s) = 0*s**2 - 2*s**2 + p*s**2 + 3*s**2. Determine j(w(k)).\nAnswer: 175*k**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let -35*r**4 - 1403000*r**3 - 14059863855*r**2 + 4017218490*r = 0. What is r?\nAnswer: -20043, 0, 2\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is 986259003 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose j + 25 = 6*j, 5*q = 5*j + 60. Suppose -28*s + q*s + 2442 = 0. Calculate the remainder when s is divided by 19.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 7668 divided by 2?\nAnswer: 3834","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 80429 to the nearest integer?\nAnswer: 284","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve 19547 = -579*n + 10173 - 15523 for n.\nAnswer: -43","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let n(z) = z - 2. Let x(h) = 3*h - 5. Let i(g) = -6*n(g) + 3*x(g). Let m = -3 + 4. Let l be i(m). Is l <= -0.9?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(x) be the third derivative of 0*x**4 + 0*x**5 - 2*x**2 + 0 + 0*x + 1\/30*x**6 - 2\/3*x**3. What is the first derivative of l(k) wrt k?\nAnswer: 12*k**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (1 + 2 - 4)*(0 - 2 + 259*k - 157*k)*(-1 - k + 1)*(-1 - 2 + 4) in the form l*k**2 + r + a*k and give a.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is -2 - 2 - (29 - 27)?\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is -3 + 18e6?\nAnswer: 18e3","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 12434 - 12436. Let o = 3 + -2.9. Which is the second biggest value? (a) o (b) -1\/3 (c) q (d) -1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 9 + -6. Suppose 0 = -2*w - 4, 5*w = -f*j - j - 2. What is the highest common factor of j and 4?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) 26 (b) 21211 (c) -1\/8\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.37657798 rounded to three decimal places?\nAnswer: -0.377","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -1 in 74, 2\/13, -27?\nAnswer: 2\/13","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence to when two letters picked without replacement from tttotttttttt.\nAnswer: 1\/12","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Convert 101001110100 (base 2) to base 15.\nAnswer: bd6","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let r(k) = -9*k**2 - 1304*k - 200. What are the prime factors of r(-120)?\nAnswer: 2, 5, 23, 29","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*a + 0*a - 4*w = 28, a - 5*w - 27 = 0. Suppose -9 = -x + 2*n, 0 = 3*x - a*x + 5*n + 5. What is the smallest common multiple of 4 and x?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:35 PM and 3:09 AM?\nAnswer: 634","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let n(r) = 1401*r - 2. Is n(1) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -195 + 2147\/11. Put 1\/17, -2, t in descending order.\nAnswer: t, 1\/17, -2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 98 - 94. Solve 8 = c*o - 4 for o.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many hours are there in one quarter of a day?\nAnswer: 6","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Sort 4, 978, -3.\nAnswer: -3, 4, 978","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let u(d) = 5*d**3 - 18*d**2 + 5*d - 52. What is the tens digit of u(8)?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1499453.4 minus 0.15?\nAnswer: 1499453.25","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let z(n) = -13*n + 14. Let r be z(-10). Suppose 4*o + 60 = -r. Is (-912)\/o - 4\/(-34) a multiple of 6?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 371*t + 12189191 - 15489319 = 19531954. List the prime factors of t.\nAnswer: 2, 3, 13, 263","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(s) = -29*s - 1. Suppose -15*o = -12*o - 237. Let x(c) = c - c + o*c**2 - 81*c**2. Determine h(x(p)).\nAnswer: 58*p**2 - 1","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: -9 times -0.5\nAnswer: 4.5","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 1559, 1529, 1465, 1355, 1187, 949, 629, 215?\nAnswer: -305","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: 5832 divided by 4\nAnswer: 1458","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: -5 divided by -4376283\nAnswer: 5\/4376283","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*y = 4*m + m - 49, 26 = 3*m - y. Let g(o) = -o**2 + 15*o - 52. Let q be g(m). Let a(u) = -2*u**3 - u**2 + 3*u - 3. Calculate a(q).\nAnswer: -17","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 25*w - 6464 = 24*w + 4*v, 3*w - 19401 = 3*v. What is the tens digit of w?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 17\/2 of a litre?\nAnswer: 8500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in -3, 49, 3, 0.4, 2.4, -0.1, 178?\nAnswer: 178","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Does 7 divide 39707773?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Factor 19*x**3 + 147*x**2 - 132890*x + 133118*x - 4*x**3 + 96.\nAnswer: 3*(x + 1)*(x + 8)*(5*x + 4)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 44, -4, -0.5, -2\/19 in ascending order.\nAnswer: -4, -0.5, -2\/19, 44","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: (7\/252)\/((-7)\/14)\nAnswer: -1\/18","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-6)\/2)\/(17\/(-17))?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(3) + 0)**2 + sqrt(3) + 0)*-1.\nAnswer: -3 - sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is -100 (base 2) in base 13?\nAnswer: -4","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Determine s so that s**5 + 53*s**4 + 616*s**3 - 2352*s**2 = 0.\nAnswer: -28, 0, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*y - 10*y = 3*t + 19, 20 = -4*y. Solve -6*w = -4*w + t for w.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(q) = -4*q + 5. Let c(y) = 4*y. What is c(a(h))?\nAnswer: -16*h + 20","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let p(d) = d**2 + 32*d - 223. Let c be p(-38). Let z(t) = 41*t - 55. What is the remainder when z(c) is divided by 40?\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -73\/893582 and -16\/12297?\nAnswer: 2680746","meta":{"dup_signals":{},"source":"numbers__lcm_test"},"subset":"dm_maths"} +{"text":"Question: Solve -6*j + 359 = 5*v + 302, -5*v + 51 = 3*j for v.\nAnswer: 9","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let z(k) = 50*k**2 + 53*k + 35. Let s be z(25). Let x = s - 18961. Is x a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1275 + -101?\nAnswer: 1174","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is 562 + 131?\nAnswer: 1023","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from iihhhvhiivhhvhviiiv. What is prob of sequence vih?\nAnswer: 245\/5814","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-24 - -14) + (-3 - -3).\nAnswer: -10","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 5 + (-1*sqrt(3) + 1)**2.\nAnswer: -2*sqrt(3) + 9","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let c(t) = t**3 + 8*t**2 + t + 3. Let y be c(-8). Sort -6, 4, y.\nAnswer: -6, y, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 19 - (8 - (9 + -2 - (-9 - (-19 - -17)))).\nAnswer: 25","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 19*g = 25*g - 24. Let f be 2\/8 - 7\/(-4). Suppose 0 = f*y + 2*q - 38, -y + q = g*q - 29. Does 14 divide y?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (5 - 5 - 2*x)*(1 + 2 + 0) + (-2 + 4 + 0)*(-16*x + 12*x - 9*x).\nAnswer: -32*x","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the tenth root of 13787471 to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence wk when two letters picked without replacement from wkwu.\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (14 - 6 - 18) + 3?\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from pppppqppqppp. Give prob of sequence qqpp.\nAnswer: 1\/66","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 5236.03 - 5236. Let t = 13 + -9. What is the second smallest value in t, 2\/7, p?\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.00001455 rounded to six decimal places?\nAnswer: -0.000015","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of -42137497, -42137497, -42137499, -42137503, -42137509?\n\"Answer: -r**2 + 3*r - 42137499","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let x be -2 - 12 - -1 - 2. Is 18 a factor of (-9)\/x - 1428\/(-20)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 214358661 and 1901?\nAnswer: 1901","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 66 - 101 - 611*a**2 + 610*a**2 + 72.\nAnswer: -a**2 + 37","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 557 + -545. Suppose -409 = o*t - 10909. What is the hundreds digit of t?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*b = -7*b - 30. Let t(d) = -7*d**2 - 9*d - 8. Let q(j) = -3*j**2 - 5*j - 4. Let i be (9\/9)\/((-2)\/(-10)). Let z(m) = i*q(m) - 2*t(m). Calculate z(b).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 32 a factor of 29671?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 9.982 + -10. Let m = -0.118 - g. Let b = 0.22 - -0.08. What is the closest to 1 in b, 0.2, m?\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -79\/172 and -157\/22181550.\nAnswer: 44363100","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let z(o) = -3*o + 1. Let v(n) = -2*n - 3. Let m(g) = 2*g + 4. Let w(k) = 3*m(k) + 4*v(k). Let b(f) = 4*w(f) - 3*z(f). Determine b(5).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(h) = -8*h**3 + 8*h**2 + 17*h. Let r(w) = 7*w**3 - 7*w**2 - 16*w. Calculate 6*n(y) + 7*r(y).\nAnswer: y**3 - y**2 - 10*y","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of -1720, -3658, -5600, -7546, -9496, -11450, -13408?\n\"Answer: -2*f**2 - 1932*f + 214","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence iw when two letters picked without replacement from {w: 1, a: 1, e: 2, i: 1, d: 1, t: 1}?\nAnswer: 1\/42","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: How many seconds are there in 75510.49 microseconds?\nAnswer: 0.07551049","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 6899 and 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -1640958241 + -89472.\nAnswer: -1641047713","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 107\/770 and -173\/330.\nAnswer: 2310","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 30 = x + n, 4*n + 149 = 4*x + 5. What is the tens digit of x?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of 20, 60, 150, 314, 576, 960, 1490?\n\"Answer: 4*k**3 + k**2 + 9*k + 6","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-3)\/12 - 80\/(-64).\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -931*y + 935*y = -2*d + 24, -5*y + 3*d = 3 for y.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in 26, -0.06511, 1\/31?\nAnswer: 1\/31","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Divide 15475322 by 7737661.\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*j - 18*j = -72. Suppose -509 = -j*i - 149. Calculate the highest common divisor of i and 45.\nAnswer: 45","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(g) be the third derivative of g**8\/168 + 4*g**7\/21 + g**5\/30 - g**4\/12 + 257*g**3\/3 - 852*g**2 + 3*g. What is the second derivative of n(k) wrt k?\nAnswer: 40*k**3 + 480*k**2 + 4","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(x) be the first derivative of -x**4\/4 + x**3\/3 + 13*x**2\/2 - 2*x + 5. Let g be z(4). Sort g, -17, -3, 1 in increasing order.\nAnswer: -17, -3, 1, g","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -58*f*o**6 + f*o**3 - 24*f - o**2 wrt o.\nAnswer: -6960*f*o**3 + 6*f","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: 3590\/(-105) + (-2132)\/(-11193)\nAnswer: -34","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(a) = a**3 - 31*a**2 - 3*a + 95. Let i be c(31). Solve -i*k = 5*p + 56 - 38, k + p = -6 for k.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.00000143 rounded to seven decimal places?\nAnswer: 0.0000014","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose f + 3 = 0, 16 - 12 = w + f. Calculate the remainder when 71 is divided by w.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -7320 + 7334. Solve g*w - 1 = 13 for w.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 664671995 to the nearest integer?\nAnswer: 25781","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is 6288871457 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in -0.6, 0.3, 0.5, -2\/9, -24\/25, -13\/2?\nAnswer: -2\/9","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 198 and 608784?\nAnswer: 66","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -30324, -30325, -30336, -30363, -30412?\nAnswer: -30489","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Factor 10\/3 - 17*i - 11\/3*i**5 + 104\/3*i**2 + 18*i**4 - 106\/3*i**3.\nAnswer: -(i - 1)**4*(11*i - 10)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -12 = -r + 8. Suppose 8*n = r + 28. Let k be (-4)\/n + (-220)\/(-60). Solve 0 = 2*c + 3*p + 6, 0 = -5*c - 0*c - 3*p + k for c.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (8\/190)\/(-11 + 530\/50). Let b = -0.2 + 0.6. Let l = -0.9 + b. What is the smallest value in -0.1, u, l?\nAnswer: l","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 46 is divided by (-119)\/14*(1 + -3).\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 0 + 3*t**2 + 4*t - t**2 + 1 - t**2 - 4*t**4 to the form h*t**4 + c*t**2 + k + o*t**3 + x*t and give c.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve -325*j - 11605 = 8881 + 11364 for j.\nAnswer: -98","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -0.5 - -0.7. Let w = 0.17 + 0.07. Let l = -239487\/5 - -47898. Which is the nearest to 1? (a) w (b) q (c) l\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 392\/(-12)*5100\/5950?\nAnswer: -28","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(k) be the first derivative of -6*k**6 + k**4 + 100*k**2 + k + 177. What is the second derivative of y(w) wrt w?\nAnswer: -720*w**3 + 24*w","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*n = a + n + 16, -4*a + 4 = n. Suppose a*z = -3*z + 36. Does 6 divide z?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-5 + 4)\/(8 - (-235)\/(-30))?\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1796944 is divided by 8257.\nAnswer: 5175","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -5 divided by -20377.\nAnswer: 5\/20377","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -30*a*n**6 - 2*a*n**2 + 383*a + 9*n**6 + 1 wrt n.\nAnswer: -3600*a*n**3 + 1080*n**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 36556?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 141 + 48. Suppose 266 = -0*f - 2*f. Let u = c + f. Is u a multiple of 18?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(h) = -5*h**2. Let r(c) = 668*c**2 - 6*c + 3. Give r(a(l)).\nAnswer: 16700*l**4 + 30*l**2 + 3","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is 1343068 a multiple of 17?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -47\/200 and 71\/20.\nAnswer: 200","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve -46*w + 64 - 248 = 0 for w.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: -37.4696 + -3\nAnswer: -40.4696","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 209*p**3 + 2*p - 208*p**3 - 360 - 213 + p**2 - 122 to a + w*p**2 + q*p + s*p**3 and give s.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -15332 + 91993\/6. What is the second biggest value in 9, x, -26, 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*n + 3*i = 228, 0*n - 43 = -n + 2*i. Let t = -10 + n. Calculate the highest common factor of t and 7.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (d**(2\/17)*d**10*d)\/(d**(-1\/7)\/(d*d\/((d*d*d*d*d**(-1\/10)\/d*d*d)\/d)*d)) assuming d is positive.\nAnswer: d**(12329\/1190)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*r + 9*y - 182 = 11*y, y = -5. Is r less than or equal to 43?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3*f + 5*f + f)*(3*f**2 - 2*f**2 - 2*f**2)*(-4*f**2 - f**2 + 2*f**2)*(4 - 2 + 0).\nAnswer: 18*f**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 5 - 0. Solve -4*g + b*h + 3 = 0, -h + 0 = -2*g + 3 for g.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 27*s - 8 = 31*s for s.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Convert 35668.89kg to micrograms.\nAnswer: 35668890000000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Put -6, 5, 43 in descending order.\nAnswer: 43, 5, -6","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve 22 = 52*k + 74 for k.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*s + 0 = -6 for s.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let p(i) = 20*i - 163. Calculate p(10).\nAnswer: 37","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -553500 = -349*o + 346*o. Round o to the nearest 10000.\nAnswer: 180000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 8.161386km to centimeters.\nAnswer: 816138.6","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -83 - -87. Suppose 3*p + h + 5 = 0, 17 - 1 = -b*p + h. Let s(f) = f - 1. Let c(o) = 4*o - 8. Let j(m) = -c(m) + 5*s(m). What is j(p)?\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 4505.871 nanoseconds in minutes?\nAnswer: 0.00000007509785","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -10 + 3 - -9 - -5 - -1?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1873962 is divided by 251.\nAnswer: 247","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let c(u) = 3*u**2 + 20*u - 2. Give c(-6).\nAnswer: -14","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of -1353, -1431, -1559, -1737, -1965, -2243, -2571?\n\"Answer: -25*n**2 - 3*n - 1325","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let n be 1 + -12 - 2\/1. What is the smallest common multiple of 4 and (-256)\/(-26) + (-2)\/n?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 5*i + 2313*i**3 + 2 + 3*i**2 - 4671*i**3 + 2337*i**3 + (i**2 - 4*i**2 - i**2)*(-i + 3*i + 0*i).\nAnswer: -29*i**3 + 3*i**2 + 5*i + 2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let z(k) = 6*k**3 + 8*k**2 - 32*k - 7. Let s(i) = 5*i**3 + 7*i**2 - 31*i - 6. Let x(y) = -5*s(y) + 4*z(y). Let f = 82 + -93. Is x(f) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 3850 - 2699. Is y prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 78 or -29?\nAnswer: 78","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is 2979 a multiple of 4?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of 20477, 80563, 180707, 320909, 501169, 721487, 981863?\n\"Answer: 20029*m**2 - m + 449","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify q**6*q**(-8\/3)*q*q assuming q is positive.\nAnswer: q**(16\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: (-4)\/((-201)\/((-1698450)\/(-260)))\nAnswer: 130","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Determine v, given that 2*v**3\/11 + 12490*v**2\/11 + 1773296*v + 19493768\/11 = 0.\nAnswer: -3122, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*g + 3*g - 3. Suppose 33 = 2*x + 11. Let t = g + x. Calculate the highest common divisor of 88 and t.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0.1? (a) 5\/3 (b) -30 (c) 2 (d) 7\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth biggest value in -0.6, 0, 0.066, -0.02, -1, 11?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Express (14*u - 1 - 11*u + 2)*(3 + 2 - 6) in the form z*u + g and give g.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is (-11856)\/540 - ((-4)\/135)\/((-104)\/156)?\nAnswer: -22","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 91530 is divided by 21345.\nAnswer: 6150","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (432\/(-45))\/(-12)*(-60)\/(-4).\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Sort -4, -7, 44, -27 in decreasing order.\nAnswer: 44, -4, -7, -27","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -16, -7, 2, 11?\nAnswer: 20","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of -57107300, -57107299, -57107298, -57107297, -57107296?\n\"Answer: r - 57107301","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is (60\/(-90))\/(((-24)\/63)\/(-4))?\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Work out 11233 + -1.2.\nAnswer: 11231.8","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3*l**2 - l**2 + 8*l**2)*(3*l**2 + 2 - 2) + 30*l**2 - 56*l**3 - 33*l**2 - 4*l**4 + 2*l**4.\nAnswer: 10*l**4 - 56*l**3 - 3*l**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (0 + (-3)\/6)*0. Let r be (-84)\/15*(5 - x). Let q = -18 - r. What are the prime factors of q?\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: -402797*-0.05\nAnswer: 20139.85","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 3 c when three letters picked without replacement from {a: 1, c: 4, k: 2, v: 2, t: 1, z: 2}.\nAnswer: 1\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 9.50599 rounded to 1 dp?\nAnswer: 9.5","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -7606*b**3*y**5 + 173327*b**3*y - 30*b*y**5 wrt y.\nAnswer: -152120*b**3*y**3 - 600*b*y**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 42 and 86357222?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {b: 10, e: 2}. What is prob of picking 2 e and 2 b?\nAnswer: 1\/11","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -56*q + 3099 = -1269. Suppose -x + 3*a = -19, -4*x + 3*a - 29 = -q. Let d = 34 - -46. What is the highest common factor of d and x?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 26 - 18. Suppose 0*a - 2*a + j = 0. Suppose -2*h - 3*h**3 + 5*h**5 - 5*h**a + 0*h**4 + 7*h**2 - 2*h**4 = 0. Calculate h.\nAnswer: -1, 0, 2\/5, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*s - 187 = -0*s + 2*a, 2*s - 62 = 4*a. Suppose -3*u - 9 = -s. Is u a multiple of 4?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -1889*x - 32 = -4*g - 1888*x, -2*g = 4*x + 20. Let f be 95 + 1\/1 + 0. What is the greatest common factor of f and g?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) 2\/7 (b) -1\/123 (c) -2 (d) 2\/169 (e) 0.9\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Work out -0.4 * 0.89321.\nAnswer: -0.357284","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let -2*f**3\/5 + 256*f**2\/5 - 8192*f\/5 = 0. What is f?\nAnswer: 0, 64","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 838 + 1160 = 19*s + 18*s. Calculate the remainder when 199 is divided by s.\nAnswer: 37","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence wlw when three letters picked without replacement from ooohuottuwottwl?\nAnswer: 1\/1365","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Convert 11114435 (base 7) to base 5.\nAnswer: 221240434","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth root of 139347 to the nearest integer?\nAnswer: 19","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 10453.\nAnswer: 10453","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-25 - (-74 - -48))*(1*27 + -1)?\nAnswer: 26","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -95 - -95. Let s(a) = -a**3 + 2*a**2 + 2*a - 2. Let z be s(2). What is the third biggest value in -1\/2, p, z, -1\/9?\nAnswer: -1\/9","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 37828?\nAnswer: 2, 7, 193","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: How many litres are there in 392.0318ml?\nAnswer: 0.3920318","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between -3.1 and 0.4284257921?\nAnswer: 3.5284257921","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let o(u) = -1. Let w(x) = x + 5. Let d(p) = 6*o(p) + w(p). Let k be d(1). Solve -3*q + q + 10 = k for q.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 10393123 + -0.1?\nAnswer: 10393122.9","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of 1205, 2417, 3627, 4835, 6041, 7245?\n\"Answer: -q**2 + 1215*q - 9","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Put -247, -11, 11, 4, 25, 1 in increasing order.\nAnswer: -247, -11, 1, 4, 11, 25","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -3*s + 4*s - 1951 - s**2 + 3692.\nAnswer: -s**2 + s + 1741","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 233*n - 236*n + 135 = 0. Let u = n + 480. Is 28 a factor of u?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 1608 divide 1514736?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve -11*f + 16*f = -4*i + 6, 0 = -3*f + 2*i + 8 for f.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (-1)\/2*(-1 + 3 + -56). Which is the closest to j? (a) 3 (b) 1\/3 (c) 1\/7\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -53*s - 24 = -49*s for s.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0 + 0 - h)*((-4 - 1 + 1)*(-2*h**2 - 2*h + 2*h) + 6*h**2 + 5*h**2 - 3*h**2).\nAnswer: -16*h**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 1 < 60\/221?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from essgsegsssj. Give prob of sequence egej.\nAnswer: 1\/1980","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let o(b) = -b**3 - 10*b**2 - 10*b - 5. Let h be o(-9). Let k = 34 - h. Suppose n + 4*r - 30 = -r, 3*n - k = 5*r. Does 13 divide n?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*j = 2*b - 2*j + 2, -4*j = -b - 16. Let z be (4\/10)\/(b\/(-15)). Find v such that 0 - z*v**4 - 9\/2*v**3 - 3*v**2 + 0*v = 0.\nAnswer: -2, -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -4*k**5 + 0*k**5 + 5*k**5 + (2*k**4 + 2*k**4 + 8*k**4)*(-4*k - 3*k + 5*k).\nAnswer: -23*k**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let w(y) be the first derivative of -51\/2*y**2 + 0*y + 1\/3*y**3 - 21\/4*y**4 + 40. Find the second derivative of w(n) wrt n.\nAnswer: -126*n + 2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (2 - 5 - -8) + -22 + 13.\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let v(r) = r**3 - 47*r**2 - 44*r - 5295. Determine v(50).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 1178 - 751. Let k = w + -271. Let j = k + -165.7. Round j to zero dps.\nAnswer: -10","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 114 and 5643?\nAnswer: 57","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -336 = -0*d - 7*d. What is the remainder when d is divided by 14?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(p) = 3*p**3 - p**2. Let q be u(1). Suppose -4*o + 0*o + 3*s = -q, 10 = -5*s. Let m = 1\/4 + o. Which is the smallest value? (a) m (b) 3 (c) -5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (-8)\/(1\/((-165)\/(-3))). Let a = 263 + u. Let r = -78 - a. What is the remainder when r is divided by 34?\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 9*w - 8*w - 44. Let o be w\/36 + (4 - (-114)\/(-27)). Let q = 1 + -3. What is the smallest value in 0.4, o, q?\nAnswer: q","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence fxxx when four letters picked without replacement from {f: 2, x: 10}.\nAnswer: 4\/33","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 4 + 2*j**2 - 12 - 5 with respect to j.\nAnswer: 4*j","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 197 or 986\/5?\nAnswer: 986\/5","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let d(z) = 25*z - 4*z - 6*z + 1077*z**2 - 15*z. Let x(q) = q. Determine x(d(f)).\nAnswer: 1077*f**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of -130, -1180, -4058, -9682, -18970, -32840, -52210, -77998?\n\"Answer: -153*o**3 + 4*o**2 + 9*o + 10","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 4.624 - 3.474. Which is greater: -2\/17 or n?\nAnswer: n","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*w = 2*w + 1. Let r be (-1 + w)\/(2 + -1). Suppose r = -3*t + 2*t + 15. Is t prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1, 1, -3, 101, 2, -14 in decreasing order.\nAnswer: 101, 2, 1, -1, -3, -14","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: How many days are there in 24.0385806 microseconds?\nAnswer: 0.0000000002782243125","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let q be 0\/((-6)\/3) - 32. Let o = q + 54. Calculate the lowest common multiple of o and 2.\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -38*b + 39*b - 2*o - o = -52, b = -52*o + 993 for b.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Round 568100 to the nearest 100000.\nAnswer: 600000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 4510 is divided by 107?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Factor 3*a**2 + 54*a - 57.\nAnswer: 3*(a - 1)*(a + 19)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 576 minutes after 7:30 AM?\nAnswer: 5:06 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence kkmm when four letters picked without replacement from zzmzbzkzkkmoz.\nAnswer: 1\/1430","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let q(v) = v**2 - 11*v + 12. Let f be q(9). Let w(y) = -6945*y**2 - 5*y - 10. Let u be w(f). What is u rounded to the nearest one hundred thousand?\nAnswer: -300000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tenth root of 16112955 to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -28 or 0?\nAnswer: -28","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let s(d) = d**2 - 1005. Let m(r) be the first derivative of -r**3\/3 - 214. Calculate m(s(v)).\nAnswer: -v**4 + 2010*v**2 - 1010025","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let l(f) = -f**3 + 3*f**2 + 3*f + 2. Let x be l(4). Let c = 2600 + -2600.4. Sort -4, c, 3, x in increasing order.\nAnswer: -4, x, c, 3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between 384 and 1.51984?\nAnswer: 382.48016","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 26, -1, -40, -85, -130?\nAnswer: -169","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let r(y) = y**3 - 6*y**2 - y + 1. Let u be r(6). Let k be (3\/(-3))\/(u\/50). Factor k*b - 2*b**2 - 15*b**3 - 19*b**3 - 6 + 32*b**3.\nAnswer: -2*(b - 1)**2*(b + 3)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -1\/15 in -5, -6, -3\/7?\nAnswer: -3\/7","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1477854?\nAnswer: 2, 3, 7, 37, 317","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is 26e23ab8 + -1?\nAnswer: 26e23ab7","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -50 = -5*u - 3*f + 2*f, 0 = -3*f. Suppose u = 3*z - 14. What are the prime factors of z?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: 26\/273*-18*-7*1\/2\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-1 - 2*c + 1)*(2 - 2 - 2*c)*(-72*c**2 + 2358 - 2358).\nAnswer: -288*c**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*x - w - 68 = 3*w, -3*x - 5*w = -43. Let d = -14 + x. Solve h = 3*h + d for h.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -14 in -4, 6\/7, -1\/3, 0.3?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -25 - -31 - (0 - 0) - 3.\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.00007582 rounded to 5 dps?\nAnswer: 0.00008","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 37 + -27. What is the tens digit of 3215\/15 + 4 + a\/(-3)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -7.92 - -8.42. Which is the smallest value? (a) 7.1 (b) -0.5 (c) -0.2 (d) t\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*s = -24, -4*w - 3443*s = -3442*s - 7608. What is the greatest common divisor of 80 and w?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -0*h - h + 18. Let y = h - 13. Suppose -2*m + y = -1. Put 4, -4, m in descending order.\nAnswer: 4, m, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 335c (base 13) to base 10.\nAnswer: 7175","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*z = 2*z - 120. Let f be 5\/1*4320024\/z. Let y be 7\/14 + f\/(-8). Round y to the nearest one hundred thousand.\nAnswer: -100000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 10378 is divided by 14?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: ((-60)\/210 + 6\/7)*1\/(-6)\nAnswer: -2\/21","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-2 - 11) + 7 - (-2 + 0).\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is -6df (base 16) in base 12?\nAnswer: -1027","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve -7*v**5 + 870*v**4 + 2447*v**3 - 4326*v**2 + 1016*v = 0.\nAnswer: -4, 0, 2\/7, 1, 127","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let i(h) = -3*h**3 - 3*h**2 - 3*h + 3. Let k(p) = p**4 + 4*p**3 + 3*p**2 + 4*p - 4. Suppose 9*l - 36 = -0*l. Let r(t) = l*i(t) + 3*k(t). Factor r(w).\nAnswer: 3*w**2*(w - 1)*(w + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 57862.\nAnswer: 2, 7, 4133","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is u in 2*u**3\/11 + 742*u**2\/11 + 41344*u\/11 + 628736\/11 = 0?\nAnswer: -307, -32","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Sum -22236820 and -147.\nAnswer: -22236967","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -81*c*f**2 + 18*c*f - 411381*c + 3003*f**2 + 407 wrt f?\nAnswer: -162*c*f + 18*c + 6006*f","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1\/3, 0, -0.14, -2\/21, 4 in ascending order.\nAnswer: -1\/3, -0.14, -2\/21, 0, 4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is -24 + 3?\nAnswer: -21","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 0 - 2. Let o be (5\/(-10))\/(u\/4). Let a = -46\/3 - -15. What is the closest to 0 in o, 3, a?\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*r + 0 + 0 = 0. Suppose r*w + 285 = 5*w. Suppose 3*b + 2*f + 0 = w, 0 = f. Calculate the greatest common divisor of b and 171.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(m) = 46*m**3 - 5*m**2 + 5*m. Let z(d) = -46*d**3 + 6*d**2 - 6*d. What is 6*j(h) + 5*z(h)?\nAnswer: 46*h**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 14211 is divided by 90.\nAnswer: 81","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from tbtttbttttttt. What is prob of picking 2 t?\nAnswer: 55\/78","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: (27\/14)\/(-9)*4\/(-6)\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 96 - 31. Suppose 3234 = -28*b + 77*b. Is h less than or equal to b?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 11 divide (7 - (9649 - 6))\/((-3)\/2)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 12\/(-15)*(9\/(-5))\/((-56)\/70)?\nAnswer: -9\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -h = -2 - 12. Let n be (2*-1)\/(h\/(-7)). Let t be 3 - (n + (-3)\/3). Put 2, 4, t in decreasing order.\nAnswer: 4, t, 2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 211 - 78 - 1 = 22*r for r.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 3577717?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is -25325 rounded to the nearest 1000?\nAnswer: -25000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 5*(sqrt(1053) + sqrt(1053)*-3)*-2 + 4.\nAnswer: 4 + 180*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Express 124 - 14*j**3 - 127 + 15*j**3 - 80*j + (-2*j + 4*j + 3*j)*(-3*j**2 - 4*j**2 - 2*j**2) as h + m*j**3 + k*j + p*j**2 and give m.\nAnswer: -44","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in 30.2, -487\/2, -2\/11, 1\/6?\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 223083?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (-4 - 0) + (2 - -2). Let t(n) be the second derivative of n**2 + 3*n - 1\/6*n**3 + q. Differentiate t(l) with respect to l.\nAnswer: -1","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*f + 1664 + 532. What is the tens digit of f?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(a) = a**3 - a**2 - 56*a - 1. What is z(8)?\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 147 and 147?\nAnswer: 147","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: 4 divided by -6\nAnswer: -2\/3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let m(x) be the third derivative of 11*x**4\/24 - 2*x**2. Let v(h) be the first derivative of -h**2\/2 - 44. Determine m(v(s)).\nAnswer: -11*s","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Does 378 divide 203901863?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence mmaa when four letters picked without replacement from {a: 2, f: 1, n: 4, m: 2, x: 5}?\nAnswer: 1\/6006","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 126.445 + -5.515. Let w = -121 + o. Does w = -0.14?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1074529325?\nAnswer: 5, 19, 439, 5153","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 12, 24, 50, 96, 168, 272?\nAnswer: 414","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 1\/24 and -131\/33020.\nAnswer: 198120","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 5*z**5 + 14904*z**3 - 24*z**2 + z - 29977 wrt z?\nAnswer: 300*z**2 + 89424","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Express (7*w - 16*w - 16*w)*(-2 - 2 + 6 + (-5 + 4 + 0)*(0 + 3 - 4)) as p + i*w and give i.\nAnswer: -75","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 37 + 0 - (18 + -23 + (-1 - -13)).\nAnswer: 30","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*y + 4*l - 2*l + 218, 2*y + 3*l - 238 = 0. Let m = y - 17. Suppose 2*i - 24 = m. What is the tens digit of i?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(x) = -x**2 - 7*x. Let j be q(-7). Suppose j = -6*d - d + 63. Suppose 7*g - d*g = -34. Solve -5*o - 7 - 14 = -4*w, -3*w + g = -4*o for w.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 13627 - -11306. Is q composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (-3 + 5)\/2 - -2. Let k(d) be the first derivative of -1 + 1\/2*d**2 + i*d. What is the first derivative of k(o) wrt o?\nAnswer: 1","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 11 + -10.96. Let o = l + 1.96. Suppose -2*i + 3 + 6 = -3*f, -4*i - 6 = 2*f. Which is the closest to o? (a) -0.4 (b) i (c) -2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth smallest value in -3, 0.181, 0, 4, 5, 1\/10?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2897?\nAnswer: 2897","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 1\/(-4) + 1060\/5936.\nAnswer: -1\/14","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 62 - 58 + 2*c - 52 to k + j*c and give j.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8*l + 7*l + 3 = 0. Suppose -3*z + 491 = 5*d, 6*d - d - l*z = 479. What are the prime factors of d?\nAnswer: 97","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many micrometers are there in 7\/4 of a centimeter?\nAnswer: 17500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*h - h + 5*k, h - 2*k = -5. Suppose 19 = 2*x + 3*x - d, -h*x = 4*d + 1. Calculate the remainder when (-20)\/6*(-12)\/5 is divided by x.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 430 to the nearest 100.\nAnswer: 400","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:33 AM and 6:33 PM?\nAnswer: 660","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 10 - 7. Find the common denominator of 37\/2 and 34\/l*10\/(-20).\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (1 + -3*(2 + sqrt(180)) + (-1*sqrt(1620))\/sqrt(9))**2.\nAnswer: 240*sqrt(5) + 2905","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let u be ((-116)\/(-2))\/1*95\/(-38). Let t = u - -151. Is t a multiple of 2?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 28\/(-1862)*7*(-2)\/(-4)?\nAnswer: -1\/19","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 111? (a) 4 (b) -2\/9 (c) -3.1 (d) 0\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 436077 is divided by 218026.\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Are 2\/3 and -1910661 unequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-4 + 11 + 15 - 4 + (-8 + 2 - 2)*(0 + 5 - 4))*(2*b**3 - 18*b**3 - 46*b**3).\nAnswer: -620*b**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -2.7 - 0.3. Let x = 3 + 1. Which is the smallest value? (a) l (b) x (c) 5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is -11059746 + -1?\nAnswer: -11059747","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*k - 3*c - 34, 0*k = -k + 5*c + 31. Suppose -k*z + 5*z = 0. Suppose 5*v + 5 = -b, -3*b + 2*v + 2*v + 80 = z. Does 7 divide b?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 557\/994 - 39\/142. Suppose 4\/7 - v*c**2 - 6\/7*c + 6\/7*c**3 - 2\/7*c**4 = 0. Calculate c.\nAnswer: -1, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 6259 + -206497\/33. Let b(n) = -145*n + 435. Let d be b(34). Let c = d - -94448\/21. Find the common denominator of z and c.\nAnswer: 231","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:48 AM and 9:02 AM?\nAnswer: 254","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let m be ((-16)\/(-120)*-15)\/1. Put 0, m, -1174 in descending order.\nAnswer: 0, m, -1174","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose k**5\/8 + 3870*k**4 + 742199*k**3\/4 + 2403546*k**2 + 34127377*k\/8 + 2044056 = 0. What is k?\nAnswer: -30912, -23, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -18 + 41 + 2 + 5999*i - 25 to the form n + z*i and give z.\nAnswer: 5999","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is 33444 + 502?\nAnswer: 34246","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Put -113\/5, -5\/4, -2067121 in descending order.\nAnswer: -5\/4, -113\/5, -2067121","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 67\/2 and 12\/8*(-26)\/4.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(l) = -8*l - 13. Let x(u) = u + 1. Let z(d) = b(d) - 4*x(d). Is 22 a factor of z(-8)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(n) = n - 1. Let g(l) = -l**3 - l**2 + 11*l + 17. Let q be g(-2). Let b(h) = 8*h + 2. Determine q*b(p) + 6*j(p).\nAnswer: -2*p - 8","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Put 299, 0.3, -1\/10 in decreasing order.\nAnswer: 299, 0.3, -1\/10","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is 37 a factor of 657?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let o(f) = -75*f + 1. Let d be o(1). Let j be d\/1 - (2 + -1). Let x = -48 - j. Is 10 a factor of x?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 234645377 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*u - 3 = 5. Suppose 3*r + 2 = -v + 4*r, 5*v + u*r = 18. Let s(t) = -t**2. Determine s(v).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 496 minutes after 6:24 AM?\nAnswer: 2:40 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {z: 9, m: 3, u: 3, p: 1, h: 2}. What is prob of sequence pzh?\nAnswer: 1\/272","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of 1968, 8188, 18566, 33102, 51796, 74648, 101658?\n\"Answer: 2079*l**2 - 17*l - 94","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Express 79*p + 41*p - 22*p + 19*p as g*p + z and give z.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is 1 + 22?\nAnswer: 23","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 0.1 and -111778.69.\nAnswer: -11177.869","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 12707120 to the nearest integer?\nAnswer: 3565","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*s - 6008 + 14802. Let m be (-6)\/4*2 - s. What is m rounded to the nearest one thousand?\nAnswer: -4000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -w + 5*w = 60. Suppose -i + 2*i - 8 = -4*r, 0 = -2*r - 5*i + 4. Solve -r*q = q + w for q.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -740*x + 5421*x + 4763*x**2 - 4765*x**2 as k + z*x**2 + o*x and give o.\nAnswer: 4681","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:05 AM and 1:53 PM?\nAnswer: 588","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*z + 5 = -z - j, 0 = -4*z + 5*j + 14. Which is the smallest value? (a) z (b) -0.5 (c) 0 (d) 62\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-4 + 1 + 2)*(j**3 - 2 + 2) - 13376*j - 238*j**3 + 13376*j.\nAnswer: -239*j**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 4\/(-6)*33\/330?\nAnswer: -1\/15","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let c be 280\/(-21)*-1*(3 - 0). What is the greatest common divisor of c and 590?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(x) = 41*x**3 - 1. Suppose -4*j = -14 + 2. Suppose -2*g = j*g - 70. Calculate the remainder when c(1) is divided by g.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in 3\/4, -43, 10, 0.0514?\nAnswer: 0.0514","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of g**4*o**3 - 10227*g**4*o - g**2*o - 2*o**3 - 100086*o**2 wrt g.\nAnswer: 24*g*o**3 - 245448*g*o","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3*o + 4*o - 6*o)*(3*o**3 + 2*o**3 - 3*o**3) + (-103*o - o - 28*o)*(2*o**3 + o**3 - 2*o**3).\nAnswer: -130*o**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose u - 24 = -3*j, -3*u + 56 = 6*j - j. Suppose -5*i + 9 = 3*g, -u = -4*g + g - 4*i. Solve 0 = k - 5*s + 10, -4*s = k - 9 - g for k.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) 13 (b) 0 (c) -9 (d) -0.1 (e) -3\/14 (f) 0.5\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 0 + (-3 + 3*(sqrt(176) + (sqrt(176) + sqrt(176)*-1 + sqrt(176))*-2))*3 + 5.\nAnswer: -36*sqrt(11) - 4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let a(w) = -6*w**2 + 54*w + 835. What is a(18)?\nAnswer: -137","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: ((-21)\/(-2))\/((-38)\/60 - 200\/(-1500))\nAnswer: -21","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(d) = -1648*d - 642724. Determine v(-390).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Does 41 divide 585972?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 1600 rounded to the nearest 10?\nAnswer: 1600","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -214 + 213.5. What is the biggest value in 0.1, w, -0.3, 0.4?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out 0.22 * -120.\nAnswer: -26.4","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 8830899 to the nearest integer?\nAnswer: 207","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -8947 in 2\/5, 5, -0.5?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let o be 6*(3 + (-16)\/6). List the prime factors of ((-53)\/o)\/((-19)\/38).\nAnswer: 53","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -n**3 + 5*n**3 - 3*n**3 + (-n + 0*n + 3*n)*(-n**2 + 4 - 4) + (0*n + 6*n - 4*n)*(-14*n - 6*n**2 + 14*n).\nAnswer: -13*n**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (h**(-2\/5)\/h)**(2\/7)*h**(-4\/3)*(((h**(4\/5)\/h*h)\/h)\/h)\/h assuming h is positive.\nAnswer: h**(-59\/15)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Sort 3\/4, 0.01, 1, -5, 2\/5 in descending order.\nAnswer: 1, 3\/4, 2\/5, 0.01, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve -691 = 53*k - 2334 for k.\nAnswer: 31","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-2*sqrt(119)*4 + sqrt(119))\/(sqrt(7) - (2*sqrt(70))\/sqrt(10)).\nAnswer: 7*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*t = -5*f + 18663 + 95547, 5*t - 114170 = 3*f. Is t composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_test"},"subset":"dm_maths"} +{"text":"Question: Let r be 1 + -7 - (-1539)\/12. Let l = r - 18117\/148. What is the biggest value in 2\/7, 5, l?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 o and 1 u when two letters picked without replacement from {u: 2, d: 1, l: 1, o: 1}.\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 1.0396 take away -3?\nAnswer: 4.0396","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let y(g) = g**2 + g + 1. Calculate y(-1).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is 9593263621 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (w**1\/w)\/w*w**4\/w assuming w is positive.\nAnswer: w**2","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let t(h) = h. Let k(i) = 2*i - 1. Let q(j) = k(j) - t(j). Let l(r) = 16*r - 18. Let x(m) = -4*l(m) + 72*q(m). Let o(n) = -2*n. Give x(o(v)).\nAnswer: -16*v","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -618 + 601. Put 1, 6, n in decreasing order.\nAnswer: 6, 1, n","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (-77)\/(-15) - -5*(-8)\/300. Suppose -20799990 = -2*k - 2*c, -4*k = -i*c + c - 41600020. What is k rounded to the nearest 1000000?\nAnswer: 10000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -1\/1000 < -1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from nyoo. What is prob of picking 2 o?\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence xnnr when four letters picked without replacement from urnnxubnur?\nAnswer: 1\/420","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let s(l) = l**2 - 10*l - 2. Let x be s(9). Let a(q) = -q**2 - 11*q + 12. Let v be a(x). Solve 3*n - v - 3 = 0 for n.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*v - 2*c = -102, 11*c - 7*c = -12. Let y = v + 60. Solve -g = -4*g + y for g.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 9175*o + 65562 = -7840*o + 6088*o for o.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let t(g) be the third derivative of g**2 + 1\/6*g**4 + 0 - 1\/2*g**3 + 1\/120*g**6 - 1\/15*g**5 + 0*g. Let u = 1455 + -1452. What is t(u)?\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -0.194*0.4.\nAnswer: -0.0776","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 14 + -8. Let a = 5 + p. Suppose 0 = 3*o - 4*t - 22, -3*t + 2*t + a = 2*o. Calculate the remainder when o is divided by 3.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: 17268 (base 11) to base 15\nAnswer: 72d4","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 3 - (1 - -3) - 4 - -13?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Put -3467, 1, -4, 41, 2, 0 in descending order.\nAnswer: 41, 2, 1, 0, -4, -3467","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*r - 3 - 3. Let h be (-28)\/r*(3 - 0). Suppose 4*n = h + 8. What is the units digit of n?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 5 by 9729.\nAnswer: 5\/9729","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(96) - -2*sqrt(96) - sqrt(96)) + sqrt(96))\/(sqrt(2) + 4*sqrt(6)\/sqrt(3)).\nAnswer: 12*sqrt(3)\/5","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: -6893 divided by -113\nAnswer: 61","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let u(b) be the first derivative of -29*b**5\/24 - 65*b**4\/12 - 2*b**3\/3 - 11*b - 65. Let z(l) be the third derivative of u(l). Differentiate z(y) wrt y.\nAnswer: -145","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (2*p**4 - 6*p**4 + 3*p**4)*(5 - 2 - 2) + 3842*p**4 + 9425*p**4 - 751*p**4 as j*p + h*p**3 + y*p**2 + k*p**4 + t and give k.\nAnswer: 12515","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 4365 (base 13) in base 5?\nAnswer: 300003","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*p + 14 = -4*m + 58, -5*p - 20 = 0. Let b(f) be the second derivative of 0 - 1\/50*f**5 - 1\/30*f**4 + m*f + 1\/5*f**2 + 1\/15*f**3. Factor b(i).\nAnswer: -2*(i - 1)*(i + 1)**2\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -14\/47 + 286\/329. Let n = -53 + 52. Put y, -3, n in decreasing order.\nAnswer: y, n, -3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t be ((-1440)\/(-384))\/((-2)\/(-120)). Calculate the greatest common divisor of t and 45.\nAnswer: 45","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n be 3 - (-1 + (3 - 13)). Let y be 1*(3 - 36\/n). Determine a so that -3\/7*a**3 + 0 + 0*a - 3\/7*a**4 + y*a**2 + 3\/7*a**5 = 0.\nAnswer: -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 0.018 - -0.082. Which is the nearest to k? (a) 2 (b) -5 (c) -2\/3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((((p\/(p**0*p))\/p)**(-6)\/(p**(1\/4)\/(p\/p**2)))**(-4\/17))**(-32) assuming p is positive.\nAnswer: p**(608\/17)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 7\/3 of a year in months?\nAnswer: 28","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let l be 2\/(-10)*(-105)\/(-14). Is -12 smaller than l?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) -5 (b) 1\/7 (c) -70 (d) -4\/5 (e) 5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 2003?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -1\/3? (a) -0.36 (b) 3 (c) -0.4 (d) -5\/11\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -1\/3? (a) 0.1 (b) -34 (c) 82\/559 (d) -0.3\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: 21714 divided by 21714\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 918 and 255.\nAnswer: 51","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 212707 (base 11) in base 5?\nAnswer: 41342014","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {n: 8, x: 5, p: 3}. Give prob of picking 1 x and 1 n.\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Sort 7, 5, -1, -5, 0, -275.\nAnswer: -275, -5, -1, 0, 5, 7","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Does 14 divide 73671310?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let z(o) be the second derivative of -409*o**6\/30 - 580*o**3\/3 - 2*o + 205. What is the second derivative of z(y) wrt y?\nAnswer: -4908*y**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose l - 13 = -4*o, 5*o - 12 = -0*l + 3*l. Suppose -2*u + u + 5 = 0. Sort o, u, 2.\nAnswer: 2, o, u","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from qmggmqqmqqqqgg. What is prob of picking 3 m and 1 g?\nAnswer: 4\/1001","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -5*k - 6*a + 8*a + 2543, 0 = -2*k + 4*a + 1030. What is the hundreds digit of k?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(i) be the first derivative of i**3 - 12*i**2 + 5*i - 64. What is r(8)?\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(h) = 2*h + 47. Let f be k(0). Let q = -17 + f. Let l be (q\/(-20))\/((-1)\/(-4)). Let g(d) = 7*d**3 + 6*d. Let p(x) = 6*x**3 + 5*x. Give l*p(y) + 5*g(y).\nAnswer: -y**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Product of -132477 and 459.\nAnswer: -60806943","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 2638 times -84?\nAnswer: -221592","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence tu when two letters picked without replacement from ttuuuutuuuttuuuutuu?\nAnswer: 13\/57","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let j(w) = w**3 - 9*w**2 - 24*w + 32. Let o be j(11). Let h(p) = 88*p + 110. Does 11 divide h(o)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -2 - -2. Suppose -5*f = 1 - 16. Suppose 0 = -2*u - 5*d + 16, y = 3*u + f*d - 0*d - 24. Is u a multiple of 4?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 71464969 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Product of -0.2 and 1232.\nAnswer: -246.4","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.3 minus 127971759394?\nAnswer: -127971759394.3","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 2 + 7. Let x = -220 + 352. Let r = x - 123. Calculate the least common multiple of r and m.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 1291*a*c**3 + 178*a*c - 3*a - 2*c**3 - 2*c**2 + 4 wrt c.\nAnswer: 7746*a - 12","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (z\/(z*z**(-4\/3)*z)*z**6\/z)\/((z\/(z*z*z*z*z**(-14\/5)*z))\/z*z**(1\/9)) assuming z is positive.\nAnswer: z**(334\/45)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let u(z) = -72*z + 233*z - 75*z + 1 - 66*z. Let f = 2 - 1. What are the prime factors of u(f)?\nAnswer: 3, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 300040 - 1500156\/5. Determine k so that 2\/5*k**2 + d*k + 16 = 0.\nAnswer: -20, -2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -1\/15 in -0.0403, 0.4, 1?\nAnswer: -0.0403","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of 1442, 1471, 1520, 1589, 1678, 1787?\n\"Answer: 10*g**2 - g + 1433","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) 4 (b) -1\/10 (c) 5\/3 (d) -0.018325 (e) 2\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2729064?\nAnswer: 2, 3, 13, 8747","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 0.8 - -1.2. Let q = o - 0.6. Let i = q + -0.4. Put 0.1, i, 4 in ascending order.\nAnswer: 0.1, i, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 3\/5? (a) -160 (b) -2 (c) -1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 222044576?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*c + 4*f - 34 = f, -4*c + 4*f = 64. Let q = 28 + c. Is 14 a factor of q?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 1.6 - 1. Put -1, i, -5\/3 in decreasing order.\nAnswer: i, -1, -5\/3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence uu when two letters picked without replacement from vousvaolvvoovssvusou?\nAnswer: 3\/190","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let k(n) = -184*n**2 + 193*n. Determine k(1).\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*x = 2*x - 24. Let y(w) = w**2 - 6*w - 2. Let h be y(x). Let l be -1 + 2*h\/(-20). What is the nearest to 1 in -4\/7, -3, l?\nAnswer: -4\/7","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 179563048?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Sort 4, 1\/9, -2, 25, -0.957 in decreasing order.\nAnswer: 25, 4, 1\/9, -0.957, -2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 u when two letters picked without replacement from {n: 8, p: 1, u: 6, g: 3}?\nAnswer: 5\/51","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let z(y) be the second derivative of y**6\/240 + 3*y**5\/40 - y**4\/3 + 6*y. Let l(s) be the third derivative of z(s). What is the units digit of l(4)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -590.6535 to the nearest ten.\nAnswer: -590","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from bklqldkzbqzqbzkdd. Give prob of sequence qdk.\nAnswer: 9\/1360","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let c(v) be the second derivative of -v**5\/10 + v**4\/6 + v**3\/2 - 4*v**2 + 4401*v. Give c(2).\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 12 = 5*v + 7. Suppose -3*x - 3 = -3*d, -2*x + 3*d = -0*x + 5. Suppose x*s + 5*h = 7, 3*s - 5*h + 11 + 16 = 0. Put s, 2, v in ascending order.\nAnswer: s, v, 2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -411518, -1646068, -3703652, -6584270, -10287922?\nAnswer: -14814608","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 o when two letters picked without replacement from ocoooooooooo?\nAnswer: 5\/6","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let n(t) = 142*t - 6189. Calculate n(44).\nAnswer: 59","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: (-36*2*7\/(-42))\/2\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 16*t - 18*t = 2 for t.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is -2 - (1 - 1 - 3)?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 528 minutes after 1:13 AM?\nAnswer: 10:01 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Work out 0.0006134 + 8.\nAnswer: 8.0006134","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -385091500 divided by -7701830.\nAnswer: 50","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: 63407 divided by 771\nAnswer: 63407\/771","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -26 + 53\/2. Put g, -3\/5, 2 in descending order.\nAnswer: 2, g, -3\/5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-6 + 2 + 3 + 19*f + 0 + f + 0 + (0*f - 2*f + f)*(-1 + 0 + 3))*(0*f**2 - 3*f**3 + 0*f**2).\nAnswer: -54*f**4 + 3*f**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from cffcfcffffcffcffcfc. What is prob of sequence ccf?\nAnswer: 28\/323","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 127464192 and 80640?\nAnswer: 2304","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is 211483 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 269679132?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(51)\/sqrt(3)*4 - sqrt(17))**2 - (sqrt(1700) + 1 - sqrt(1700))) + (sqrt(544)*6)\/sqrt(2).\nAnswer: 24*sqrt(17) + 152","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 15 = 4*q - 3*c, -4*c = q + 8 - 7 for q.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let s be -38 + 34 + ((-242)\/(-16) - 1). Let h = 761\/72 - s. Sort -0.01, h, 0.21 in decreasing order.\nAnswer: h, 0.21, -0.01","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 312*s**2 - 945*s**2 + 313*s**2 + 309*s**2.\nAnswer: -11*s**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 0.08 - 0.38. Let w = 0.007 - 10.807. Let j = w - -11. Which is the nearest to 0? (a) d (b) 0.1 (c) j\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -3*((-2)\/7 + (-68)\/(-42)).\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let a be 6\/(-12) + (-1)\/(-2). Suppose 2*t = -w + 6*t - 7, a = w - 2*t + 1. Is 1 >= w?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of 2978, 5951, 8922, 11891?\n\"Answer: -m**2 + 2976*m + 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let q(l) = 43*l**3 + 6*l + 80. Let p(a) = -45*a**3 - 5*a - 79. Calculate 6*p(y) + 5*q(y).\nAnswer: -55*y**3 - 74","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 277*v**2 - 18*v - 15*v + 55*v - 12*v - 521 - 13*v wrt v.\nAnswer: 554*v - 3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 62068 and 24.\nAnswer: 372408","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -0.0524432 + 0.0525. What is i rounded to 5 decimal places?\nAnswer: 0.00006","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a be 3\/(7\/(-6)*(-36)\/56). Suppose -4*p = a*s + 6088, 5*s + 0*s - 4*p = -7610. Let j = -6041\/4 - s. Find the common denominator of j and 79\/4.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -2534.66 - -3450.4. Let p = a + -906. Round p to 1 dp.\nAnswer: 9.7","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(x) = -2*x**2 + 16. Let g(v) = 80*v. What is p(g(t))?\nAnswer: -12800*t**2 + 16","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 43602386 is divided by 390?\nAnswer: 386","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -51, -103, -155, -207?\nAnswer: -259","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let z(j) = j**2 - 9*j - 121. Let t be z(-7). Is t not equal to -10?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -5*n - 0*n + 70. Suppose -n*p + 9*p = 720. Calculate the common denominator of -27\/16 and (-32)\/144 - 257\/p.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (1 + 2 - 4 + (-4 + 5 + 1)*(4 - 2 - 3))*(4 - 2 - 3)*(10*m - 6*m + 0*m).\nAnswer: 12*m","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 219 + 399 + 795*k**3 - 799*k**3.\nAnswer: -4*k**3 + 618","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:25 AM and 6:02 AM?\nAnswer: 337","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 28.1 - 31. Let i = -62.37 + 59.481. Let p = g - i. What is p rounded to 2 dps?\nAnswer: -0.01","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 11270 and 6785.\nAnswer: 664930","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 34344640 to the nearest integer?\nAnswer: 325","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 122503607?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Convert -3 (base 14) to base 8.\nAnswer: -3","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-1*(2 + sqrt(1300) - 5*-2*sqrt(13) - (5*(2*sqrt(65) - sqrt(65)))\/(3*-1*sqrt(5))))**2.\nAnswer: 260*sqrt(13)\/3 + 54961\/9","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -1901*j**2*m - 120437*j**2*n + 16*m*n wrt m.\nAnswer: -1901*j**2 + 16*n","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 65\/1304 and 5\/713288.\nAnswer: 713288","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: 6753 (base 16) to base 3\nAnswer: 1100021200","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.00004905402 rounded to six dps?\nAnswer: 0.000049","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 34 + -43 + (1 - 0).\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-662)\/10592 + 404\/4416.\nAnswer: 2\/69","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 76291642.\nAnswer: 2, 7, 107, 50929","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is 2837099 a multiple of 19?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Do -59 and -41 have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let o(k) = -58*k - 3191. Determine o(-57).\nAnswer: 115","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let o(a) = -3*a**2 + 175*a - 111. What is o(57)?\nAnswer: 117","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let f be 0 + -12 - (-9 - 3). Solve f = 19*z + 91 - 15 for z.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -5*c**4 - 55*c**3 - 165*c**2 - 185*c - 70.\nAnswer: -5*(c + 1)**2*(c + 2)*(c + 7)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-i + 2*i - 3*i)*(4*i**2 - 2*i**2 - 4*i**2 + (-3*i + 3*i + 3*i)*(-i + 4 - 4)).\nAnswer: 10*i**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let z be 2 - 0\/((-20)\/(-5)). Let f = -4 + 8. Suppose h + f = z*h. What are the prime factors of h?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 98 + 182. Is 40 a factor of f?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 40 minutes before 10:16 PM?\nAnswer: 9:36 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let d(c) = -c**2 + 6*c - 4. Let h be d(5). Let w(y) = 2*y**2 - 3*y. Suppose 60*s + 67 + 80 = -93. Let m(n) = -n. What is h*w(b) + s*m(b)?\nAnswer: 2*b**2 + b","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 3345897*p**4 + 1436299 wrt p.\nAnswer: 13383588*p**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is -103330000120 (base 4) in base 2?\nAnswer: -10011111100000000011000","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let q be -1*(15 + -4) - 3. Let b be 6 - q\/(-2) - (-8)\/2. Solve u + 8 = b*u - 4*w, -3*u + 5*w = -11 for u.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 3713441 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 82669.\nAnswer: 19, 229","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 24 in -0.04, -0.3, 2\/7?\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let o(y) = 68*y**2 + 1285*y + 41. Give o(-19).\nAnswer: 174","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (1 + (sqrt(704) - -3*sqrt(704)*-1) + -5 + (sqrt(704) - (sqrt(704) - (sqrt(704) + sqrt(704)*4))))**2.\nAnswer: -192*sqrt(11) + 6352","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -15*h**5 + 1509*h**4 - 30510*h**3 - 153420*h**2 + 122280*h + 589536 = 0. What is h?\nAnswer: -4, -2, 2, 178\/5, 69","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 9 - -9. Let l(w) = -2*w - 1 + 2 - 6*w. Let p be l(-1). What is the greatest common divisor of p and q?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -5*s + 3*s + s - 28 + (-2*s + 0 + 0)*(-4 - 2 + 4) to the form g + d*s and give g.\nAnswer: -28","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 4623 and 303510?\nAnswer: 201","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 131, 243, 355, 467, 579?\nAnswer: 691","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: (-2*(-2)\/16)\/(253\/(-1012))\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: How many nanometers are there in 6\/5 of a micrometer?\nAnswer: 1200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-197*w**3 + 900*w**3 + 271*w**3)*(-1 + 5*w - 3*w**2 - 5*w).\nAnswer: -2922*w**5 - 974*w**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 1957902511 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -780.96 + 781. Which is greater: n or -4\/7?\nAnswer: n","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 193510436 to the nearest integer?\nAnswer: 13911","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 6, -16, -66, -150, -274?\nAnswer: -444","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 139*c + 143*c - 249*c to the form k + d*c and give d.\nAnswer: 33","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is 2297 at most 11479\/5?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -419704 or -419706?\nAnswer: -419706","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) 0 (b) -3\/2 (c) 36881\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ph when two letters picked without replacement from {p: 1, h: 1, g: 1}.\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*n - 20 = j + j, -5*n = 5*j + 25. Let p(m) = 4*m + 0*m - 2 - 3 + m**2. Determine p(n).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z be 3 - (-16 - (4 + (-6)\/(-3))). Suppose -z*i + 6986 = -14589. List the prime factors of i.\nAnswer: 863","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(z) = z**3 + 20*z**2 + 1698*z + 27992. Give j(-17).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((c**8\/c)\/c)\/(c**0\/c*c))\/(c**2)**(-46) assuming c is positive.\nAnswer: c**98","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: How many litres are there in 9507.853ml?\nAnswer: 9.507853","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*q + m - 2874 = -2886, m + 64 = 16*q for q.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let f(u) = -467*u + 16. Let i be f(-7). Calculate the common denominator of (2\/18)\/((-60)\/i) and 9\/20.\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (-48)\/168 + 62\/21. Let i(j) be the first derivative of 2\/3*j + 2*j**2 + 4\/3*j**4 - 13 + l*j**3. Factor i(o).\nAnswer: 2*(2*o + 1)**3\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(k) be the second derivative of 5*k + 0 + 1\/24*k**4 - 11\/3*k**3 - 1\/60*k**5 + 0*k**2. Let n(a) be the second derivative of r(a). Give n(-1).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(f) = -3*f - 38. Let v be x(8). Let t = -46 - v. Calculate the common denominator of ((-16)\/(-9) + -2)\/(t\/474) and -29\/18.\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(k) = 3*k - 3*k - 2*k. Let h(b) = 70*b**2 + 85*b - 85. Let m(d) = 5*d**2 + 6*d - 6. Let p(z) = -6*h(z) + 85*m(z). Determine u(p(w)).\nAnswer: -10*w**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 45809 and 19?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 4 - -1. Solve 6*w = k*w + 1 for w.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) 3\/5284 (b) 112 (c) -1\/4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is 1574614868 a multiple of 34?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-1055)\/(-844))\/((4\/((-96)\/(-45)))\/(15\/20)).\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_test"},"subset":"dm_maths"} +{"text":"Question: Determine i, given that -3*i**3 + 882*i**2 + 885*i = 0.\nAnswer: -1, 0, 295","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -43\/2527 and -71\/105280?\nAnswer: 38006080","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 208, 740, 1632, 2884, 4496?\nAnswer: 6468","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 20 = 5*d - 0. Suppose -x + 8 = -3*m, 0 = m + d - 3. Let b(a) = -a + 1. Let q be b(2). Put q, x, 3, 0 in decreasing order.\nAnswer: x, 3, 0, q","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: 10661 (base 7) to base 11\nAnswer: 206a","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is 109 + 168?\nAnswer: 276","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let m(s) = -5*s**3 - 2*s**2 - 5*s - 3. What is m(-1)?\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: -2 - 6 - (-113 - -119)\nAnswer: -14","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let g(k) = -3*k**2 - 11*k + 11. Let u = -15 - -9. Let z(r) = -2*r**2 - 6*r + 6. What is u*g(n) + 11*z(n)?\nAnswer: -4*n**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:42 AM and 6:26 PM?\nAnswer: 644","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -119 + 1165*z + 861*z + 119 + 1605*z to the form x*z + y and give x.\nAnswer: 3631","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((d\/(((d\/d**(-1\/6))\/d*d)\/d))**(-13))**(-3\/11)*(d**1*d)**(4\/15)\/(d**1)**(-2\/61) assuming d is positive.\nAnswer: d**(70871\/20130)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -1.31 - -12.71. Let a = f + -26.9. Let c = a - -15.49236. Round c to three dps.\nAnswer: -0.008","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -15*y**4 - 263*y**3 + 2*y + 412?\nAnswer: -60*y**3 - 789*y**2 + 2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 m, 1 n, and 2 j when four letters picked without replacement from nmjnnmnjmnmjnjnmn.\nAnswer: 12\/119","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) -4\/3 (b) 1 (c) 26 (d) 10 (e) 2\/975 (f) -1\/3 (g) -3\/2\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 33\/(-18)*(-2394)\/(-43890)?\nAnswer: -1\/10","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 1156917202*d**2*p**2 - 22*d**2*p + 2*d**2 - 415*d*p + 3*d - 6*p + 1 wrt p.\nAnswer: 2313834404*d**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 195 minutes before 4:34 PM?\nAnswer: 1:19 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: 0.2 times -125079568\nAnswer: -25015913.6","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -15*c**3 - 5*c**2 - 2*c**3 - 5*c**3 + 6*c**2 - 3*c**3 to the form x + o*c**3 + t*c + j*c**2 and give j.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 169789, 679150, 1528087, 2716600, 4244689, 6112354, 8319595?\nAnswer: 10866412","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 3.2 + 2. What is d rounded to 0 dps?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-2 - 26)*(-1590)\/(-1855)\nAnswer: -24","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 15969888 is divided by 5323270.\nAnswer: 78","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Factor -8\/11*h + 0 + 10\/11*h**2 - 2\/11*h**3.\nAnswer: -2*h*(h - 4)*(h - 1)\/11","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(u) = -u**3 - 51*u**2 - 94*u + 168. Give p(-49).\nAnswer: -28","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let c(f) be the second derivative of 5*f**3\/6 - f**2\/2 + f. Let h(t) = 10*t - 3. Let r(k) = -9*c(k) + 4*h(k). What are the prime factors of r(-7)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((v**(-1\/4)\/v)\/v)**(4\/5)*v**(-3)\/((v*v**(-2\/9)*v)\/v))**(1\/7) assuming v is positive.\nAnswer: v**(-251\/315)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -20*h**2 - 45 - h - 41*h**2 + 1 wrt h?\nAnswer: -122","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine y so that -4*y**4 - 84*y**3 = 0.\nAnswer: -21, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let i(z) = z**3 + 6*z**2 - 2*z - 8. Let w = 4 - 10. Let r be i(w). What is the third derivative of b**2 + b**4 + 0*b**2 + 0*b**r wrt b?\nAnswer: 24*b","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 6108 is divided by 436?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (-17)\/((-3)\/(-1 - -4)). Let c = 11 + l. What is the highest common factor of 42 and c?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 5*p**3 - 17073085*p**2 - 68292400*p - 68292420.\nAnswer: 5*(p - 3414621)*(p + 2)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 236*o**5 + 3*o**3 + 11*o**2 + 112*o wrt o.\nAnswer: 14160*o**2 + 18","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Put together -2014 and 0.3.\nAnswer: -2013.7","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -8 + 14. Let t = m + -4. Let k = -158.4 - -159. Is t at least as big as k?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -43\/9 and -6\/19033?\nAnswer: 171297","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*s + 8*s = -9. Let a = 94320 + -94292.9135. Let d = a - 0.0865. Sort 5, 0, s, d in descending order.\nAnswer: d, 5, 0, s","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -20 (base 3) in base 9?\nAnswer: -6","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 10 + -6. Let w = 2470.7 + -2470.65. What is the second smallest value in l, w, -1\/4?\nAnswer: w","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 35 is divided by 5?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -245 = -70*d + 63*d. Calculate the remainder when 207 is divided by d.\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*q + 22 = -t, -4*t = -7*t + 6. Let o(w) = -3*w + 5. Let z be o(4). Let b = z - -12. Calculate the remainder when q is divided by b.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 5, -2\/5, 1, 2 in increasing order.\nAnswer: -2\/5, 1, 2, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -2.2 + -28.8. Let i = y - -30.9764. Round i to three decimal places.\nAnswer: -0.024","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.00039514 to five decimal places.\nAnswer: 0.0004","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is (-104)\/39 + (-3 - -6)?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 2 + -10 - (121 + 4 - 100)?\nAnswer: -33","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose q - 5*q + 15 = -t, 3*q - 7 = 5*t. Let j be 12\/(-30) + (-12)\/(-5). Solve -u - j = -t for u.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(i) = 6*i + 19. Let l(w) = 3*w + 9. Let o(d) = -5*l(d) + 2*s(d). Let x be o(-3). Let k(n) = 3*n + 3*n - x*n - 6*n. Give k(2).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(k) = -k + 5. Let b be ((-5)\/2)\/(6\/(-12)). Suppose -b*w = 3*f + 15, 4*w = -w - 2*f - 10. What is the units digit of v(w)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -10719\/11 - -1057139\/110. Let w = t + -5382. Let v = -3249 + w. Find the common denominator of v and -31\/7.\nAnswer: 70","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 2\/33 in -0.5, 0.042, -5, 2, -2?\nAnswer: 0.042","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Sort -4251, 9, -19, -0.4 in ascending order.\nAnswer: -4251, -19, -0.4, 9","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let n(d) = 4037*d + 14. Let m(o) = -73*o - 2. Determine n(m(j)).\nAnswer: -294701*j - 8060","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -40 - -44. Suppose -3*x = f*r - 8*x - 11, 15 = 5*r - 5*x. Factor -1\/3*y**r + 0*y**3 + 1\/6*y**5 + 1\/3*y**2 + 0 - 1\/6*y.\nAnswer: y*(y - 1)**3*(y + 1)\/6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -8*a - 2 + 53 = -13 for a.\nAnswer: 8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*j - 6666 = -3*j. Is j composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -0.0308, -0.4, 4 in decreasing order.\nAnswer: 4, -0.0308, -0.4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve 19*i - 4744 = -4326 for i.\nAnswer: 22","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-2 + 4*sqrt(3))**2 - (sqrt(27) - sqrt(27)*-2)\/sqrt(9) - (2*sqrt(3)*5 + -5*sqrt(3)*-3).\nAnswer: -44*sqrt(3) + 52","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 152884?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let x(i) = 4*i - 2. Let d be x(-1). Let q be (0 + -1)\/(2\/d). Suppose 0*p - 5*p - q*u + 110 = 0, -2*p - u = -44. What are the prime factors of p?\nAnswer: 2, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (t\/(t*t*t**(-1\/4)*t*t*t))**(19\/2)\/((t\/t**(2\/7))\/(t\/(t*t\/t**13))) assuming t is positive.\nAnswer: t**(-1363\/56)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 y and 1 v when three letters picked without replacement from byyvwrn.\nAnswer: 1\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -1824, -2114, -2402, -2688, -2972, -3254, -3534?\nAnswer: -3812","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand 20*t**2 - 20*t**2 - 5*t**3 + (2879 - 2879 + 116*t)*(2*t**2 + 0*t**2 + 0*t**2) + (-t**3 + 4*t**3 - t**3)*(0 - 3 + 1).\nAnswer: 223*t**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the seventh biggest value in 0, 4, -2\/5, 2\/29, 2\/9, -2\/13, 783?\nAnswer: -2\/5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -57\/68 and -85\/376938.\nAnswer: 12815892","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 17360 and 6072220?\nAnswer: 752955280","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: -327321 (base 12) to base 8\nAnswer: -3033411","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 454*m - 1140 = 340*m for m.\nAnswer: 10","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 110083?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let a(b) = -b**2 + 5*b - 4. Let g be a(2). Solve 20 = -g*v - 4*n, -v + n + n + 6 = 0 for v.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1145 is divided by 235.\nAnswer: 205","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Work out 0.089 + -2.\nAnswer: -1.911","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 1088 + -602. Suppose 4*w - 224 = -p + 157, -s = -5*w + 2*p. Is w a multiple of 24?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 5618 + -5620. Is a < 267\/5?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 1218.2 - 1213.2. What is the second smallest value in -1\/18, -2\/15, r?\nAnswer: -1\/18","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*f + 2*f = 12. Let j be (-18)\/(-81) - 47\/9. Sort j, f, 1 in increasing order.\nAnswer: j, 1, f","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(x) = -2*x**3 + 3*x**2 - x - 4. Let k = -545 + 548. Give v(k).\nAnswer: -34","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 23585 - 23584.8. What is the second smallest value in -1036, i, 3?\nAnswer: i","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine j, given that 0 + 0*j**4 + 0*j - 1\/5*j**5 + 3\/5*j**3 + 2\/5*j**2 = 0.\nAnswer: -1, 0, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(w) = -w**2 - 3*w. Let b(t) be the first derivative of 42 + 0*t + 1\/2*t**2. Determine -3*b(m) - s(m).\nAnswer: m**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 2367\/(-10)*(-44)\/(-396) + 3\/10?\nAnswer: -26","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 581\/386 - 1\/193. Let i(n) be the second derivative of 7*n - 7\/6*n**3 + 0 - m*n**2. What is the derivative of i(z) wrt z?\nAnswer: -7","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: -0.1 + -16118451\nAnswer: -16118451.1","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let u(x) be the first derivative of 5*x**4\/12 + 10*x**3\/9 - 10*x**2\/3 - 40*x\/3 - 29. Solve u(m) = 0 for m.\nAnswer: -2, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(99)*-1*-5 + sqrt(99) - 6*sqrt(99)*1)\/(-2*2*sqrt(225)).\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 6286 (base 9) in base 5?\nAnswer: 121424","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: -0.3*-4438\nAnswer: 1331.4","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Divide 44541008 by 8.\nAnswer: 5567626","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: How many micrometers are there in 3\/25 of a centimeter?\nAnswer: 1200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 12366 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: Solve 0 = 2*u + 27 - 25 for u.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) -5 (b) -4 (c) 55.18 (d) 84 (e) -3\/5 (f) -1\/3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 31 - 36.4. Let n = w - -5. Let o = -60 + 56. Which is the third biggest value? (a) 3 (b) o (c) n\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (y - y + y)*(-2*y**2 - 5*y**2 + 5*y**2) - y + y - 8*y**3 + (1 + 3 - 5)*(0*y**3 - 4*y**3 + 2*y**3) - 2*y**3 - 2*y**3 + 3*y**3.\nAnswer: -9*y**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let h(i) = -6*i**2 + 8*i - 7. Let t(m) = 8*m**2 - 13*m + 8. Let a(b) = 3*h(b) + 2*t(b). What is a(-3)?\nAnswer: -17","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 91 - 53. Does 19 divide d?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:22 AM and 9:49 AM?\nAnswer: 327","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -5*(-2*1*sqrt(17) + -1 + sqrt(272) - ((sqrt(170) + (sqrt(170)*-1 + sqrt(170) - sqrt(170)))\/sqrt(10) - (sqrt(425) + 2)))**2.\nAnswer: -4170 - 70*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let u(g) = 6*g**2 - g + 2. Let j be u(-2). Find the common denominator of (-4)\/10*45\/(-144) and 102\/j - 6\/4.\nAnswer: 56","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(z) = 2*z**2 + 9*z - 3. Suppose -2*w + 3*w - 7 = k, w = -4*k - 33. Is m(k) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 422 + -178. Calculate the lowest common multiple of 8 and k.\nAnswer: 488","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(x) be the first derivative of -2*x**3\/3 - 18. Let q(h) = -22*h. Calculate q(v(b)).\nAnswer: 44*b**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let q**4\/4 + 9*q**3\/2 + 13*q**2\/4 - 18*q - 17 = 0. Calculate q.\nAnswer: -17, -2, -1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 171 minutes before 7:22 AM?\nAnswer: 4:31 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) -0.0246 (b) -5 (c) -1\/4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 2.5449 - 2.6449. Let v be (-30)\/(-44) + 2\/(-4). What is the third biggest value in -2\/19, t, v, 0.05?\nAnswer: t","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(x) = x - 3. Let s(p) = -14*p + 14. Let h(y) = -3*i(y) - s(y). Suppose -32 = -3*z - 8. Suppose v + z = -v. Let j(k) = 5*k - 2. What is v*h(a) + 9*j(a)?\nAnswer: a + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Divide -4920360 by -5.\nAnswer: 984072","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -12 - 63 = -5*w. Suppose 0 = -3*p - 2*p + w. Suppose p*d + 2*n - 171 = 0, 3*d + n - 233 = -d. What is the tens digit of d?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 6*(-6)\/(-108)*(-98)\/49?\nAnswer: -2\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let l be 0\/1 + 3\/3. Let m be 10\/(-6)*7\/(-35)*-1. Which is the closest to l? (a) m (b) -1 (c) 2\/3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*w - 3*w + 10. Suppose 4*h + w = 22. Suppose 2*i = h*i - 21. What is the remainder when i is divided by 2?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0.26? (a) -27 (b) 2\/5 (c) -5 (d) 539\/6\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*p = -2*p + 36. Suppose -7 - p = 4*j. Let k(r) = r**3 + 5*r**2 + 3*r + 4. Let v be k(j). Calculate the greatest common factor of v and 16.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -4, -2, 129, -32, -583 in decreasing order.\nAnswer: 129, -2, -4, -32, -583","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (179 - 178) + (0 - 7).\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is (3902027\/17)\/(2\/2) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of d**4 + 600516*d**3 + 1038789*d**2.\nAnswer: 24*d + 3603096","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((y**(1\/2)\/y)\/(y\/(y**(1\/8)*y)))\/((y\/((y*y\/(y\/y**(-6)))\/y))\/(y**5\/y*y)) assuming y is positive.\nAnswer: y**(-19\/8)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1551111*x - 1550889*x + 7850 = 28718 for x.\nAnswer: 94","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 318 + -143. Let x be ((-13)\/(195\/(-250)))\/(8\/12). What is the highest common factor of f and x?\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(b) = b - 4. Let z be a(6). Let p be z\/15 + (-924)\/180. Sort -3, p, 7 in decreasing order.\nAnswer: 7, -3, p","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*g - 7*a - 11 = -5*a, 5*g = -2*a - 13 for g.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -4250 + 4255. Solve i*u - 44*t + 6 = -43*t, 0 = -2*u + 3*t + 8 for u.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*t + 3*t - 24 = 0. Let d**2 - 8701*d**3 + 4*d**t - d**2 + 8705*d**3 = 0. What is d?\nAnswer: -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 z and 1 n when two letters picked without replacement from zznzznzznnz.\nAnswer: 28\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 715 and 77?\nAnswer: 5005","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 744 + -8199\/11. Let t = 483523\/60 + -8059. Calculate the common denominator of t and a.\nAnswer: 660","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(i) = 8*i - 14. Let c(r) = -r + 1. Let n(b) = 6*c(b) + u(b). Calculate n(6).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 13370401 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: Is 13070689 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let r(d) = 13*d - 2. Let i(k) = -38*k + 6. Give -6*i(n) - 17*r(n).\nAnswer: 7*n - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve 11 = -7*b - 10 for b.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 1\/(-5) - (-10)\/(-200)?\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -0*y - 5*y + x + 50, -2*x - 10 = 0. Calculate the remainder when 42 is divided by y.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (156\/(-117) - (-813)\/(-477)) + (0 - -3).\nAnswer: -2\/53","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 4 - 1. Suppose -2*v + 5*g + 0*g = -15, -v + 9 = -3*g. Suppose v = -3*s - 2*s + 40. Solve x*w + l + 5 - 17 = 0, -2*w + s = -5*l for w.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 442 divided by -17.\nAnswer: -26","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence emme when four letters picked without replacement from mmmmeememe?\nAnswer: 1\/14","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-17)\/(-51))\/(77\/(-21))?\nAnswer: -1\/11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Work out 1 * 4551057.\nAnswer: 4551057","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let b be -1 - (-4 + 1 + 5\/1). Put b, -2, 16 in decreasing order.\nAnswer: 16, -2, b","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -89\/4 and 109\/100.\nAnswer: 100","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 3\/5 of a millimeter in micrometers?\nAnswer: 600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 10, 37, 74, 115, 154?\nAnswer: 185","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is b in -4*b**4 + 878448*b**3 - 48240849016*b**2 + 1253816736432*b - 8148843925924 = 0?\nAnswer: 13, 109793","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let x(j) be the third derivative of j**5\/60 + 7*j**4\/24 + 10*j**2. Find the second derivative of x(y) wrt y.\nAnswer: 2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: -22433 (base 5) to base 4\nAnswer: -121102","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 707934?\nAnswer: 2, 3, 117989","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let v(m) = 14*m**2 - 11*m - 24. What are the prime factors of v(-4)?\nAnswer: 2, 61","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 56505648.\nAnswer: 2, 3, 1177201","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let b(a) = -13*a + 33*a - 89*a**2 + 1 - 19*a + 90*a**2. Let s(r) = 8*r**2 + 4*r + 2. What is 2*b(c) - s(c)?\nAnswer: -6*c**2 - 2*c","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let h(j) = -j**3 + 5*j**2 - 2*j + 4. Let i be h(5). Let k be (-8)\/i - 1\/3. Solve 2*a - 5*q + 1 = -1, -a = -4*q + k for a.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in -1\/5, -2, -0.4?\nAnswer: -1\/5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of 11, 55, 135, 263, 451, 711, 1055?\n\"Answer: 2*l**3 + 6*l**2 + 12*l - 9","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 0.6 + 9.4. Let h = 9.7 - j. Which is the closest to -1\/3? (a) h (b) 3 (c) 0.1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -12.4 + 11. Let z = t + 0.8. Let m = -0.6 - z. What is the second smallest value in m, 5, 0.5?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(x) = 2*x - 3. Let a be -5 + 3 + 4 + -1. Let u(w) be the first derivative of -3*w - 9 + 4*w + 0*w. Calculate a*g(k) + 5*u(k).\nAnswer: 2*k + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 47\/10 and -56\/77825?\nAnswer: 155650","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let x(p) = 7*p**3 + 128*p**2 + 36*p - 1. Let f be x(-18). Let c(q) = 1 - 9*q - 1. Give c(f).\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 2\/6*(1\/28)\/((-30)\/(-1080))?\nAnswer: 3\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (77\/630*5)\/(19\/(-38) + 0)?\nAnswer: -11\/9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(c) = -23*c - 2409. Determine u(-104).\nAnswer: -17","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 1101011101 (base 2) in base 16?\nAnswer: 35d","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 8*g**2*k**3*x - 56*g**2*x - 56*g*k**3 + 2*x wrt k?\nAnswer: 24*g**2*k**2*x - 168*g*k**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of -17205, -34273, -51343, -68415, -85489?\n\"Answer: -v**2 - 17065*v - 139","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.69885 rounded to 2 dps?\nAnswer: 0.7","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*z**2 + 92718*z = 0. Calculate z.\nAnswer: 0, 46359","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 147 + -164. What is the nearest to 1 in -2\/3, u, 1\/7?\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -86*o + 70*o + 208 = 0 for o.\nAnswer: 13","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Convert -2340220041 (base 5) to base 6.\nAnswer: -311411230","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 0.7 - 0.81. Let a = d + 8.11. Let i = -7.9999996 + a. What is i rounded to 6 decimal places?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 246*a = 66 + 180 for a.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let t be ((-48)\/(-18) + -1)*3. Suppose 5*l + 3*h = 50, -3 + 0 = -4*l + t*h. Suppose -l*a + 1479 = -404. What are the prime factors of a?\nAnswer: 269","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: 714391.772 times 0.3\nAnswer: 214317.5316","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 253858330 is divided by 6?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 190\/(-1045) - 268\/(-22).\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is (7178\/(-12))\/((-19)\/114) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((k**(-6))**26*k**(-1\/9)*k**(2\/5))**(-2\/45) assuming k is positive.\nAnswer: k**(14014\/2025)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 6771 is divided by 2189.\nAnswer: 204","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let i be ((-6)\/14 - (-114)\/21) + 2. Solve 27 = -5*t + i for t.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) 0.92 (b) 2\/7 (c) 0.2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 197*i**3*z**2 - 156*i**3 - 3*i**2 - 1905*i*z**2 + 4*i wrt i?\nAnswer: 1182*z**2 - 936","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-970)\/70 + (-36)\/252.\nAnswer: -14","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(i) = -2*i - 7. Suppose 0*x + 6 = -x. Let n be k(x). Suppose 3*m - 7 = -2*r + 55, 4*r - 106 = -n*m. Solve 2 = -4*l + m for l.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -694 = 18*s - 20*s. Is s composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -239, -943, -2109, -3731, -5803, -8319, -11273?\nAnswer: -14659","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is -1 times -0.0972?\nAnswer: 0.0972","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from zzzzzezekzezze. Give prob of sequence keze.\nAnswer: 9\/2002","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (-2 - -2)\/3 - -3. Suppose -m*j = 4*x - 26, 3*x - 3*j - 9 = -0*j. Suppose 13 - x = k. What is the units digit of k?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 31837704.\nAnswer: 2, 3, 23, 137, 421","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: -46.6837754 * 0\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -1 in -66\/7, -1\/9, 457, 4, 2?\nAnswer: -1\/9","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 222 is divided by 114.\nAnswer: 108","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -1361, -2788, -4215?\nAnswer: -5642","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in eleven quarters of a litre?\nAnswer: 2750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is -1 + (-7 - -4) + 1 + 6?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 37*p**2 - 21*p**2 - 14*p**2.\nAnswer: 2*p**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let q(i) = 8*i**3 - 2*i**2 - 4. Let x be (-12)\/14 + 5568\/(-1344). Let a(s) = -s**3 + 1. Give x*a(w) - q(w).\nAnswer: -3*w**3 + 2*w**2 - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(1700) - 2*sqrt(1700)) + 3.\nAnswer: -10*sqrt(17) + 3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 2656517 to the power of 1\/2, to the nearest integer?\nAnswer: 1630","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: 42231140 (base 5) to base 6\nAnswer: 11313501","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -0.08? (a) -117.5 (b) 2\/5 (c) -2\/3 (d) 2 (e) 1\/12\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let z be 3\/((-3 - -2)*-1). Suppose 21*d + 40 = 29*d. Solve d*y + z = -2 for y.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 8551.388ml in litres?\nAnswer: 8.551388","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let y(o) = o**3 + 8*o**2 + o - 1. Let k = -383 + 377. Calculate y(k).\nAnswer: 65","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(i) = -i. Let o(g) = 4*g + 3. Let h = 318 + -323. Give h*u(z) - o(z).\nAnswer: z - 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*g - 219 = -u, -g = -4*g + 5*u + 137. Is ((-6)\/4)\/((-3)\/g) a multiple of 14?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 88 + -90. Let i be ((-35)\/v)\/7*(1 - 3). Sort 3, i, 0, 7 in descending order.\nAnswer: 7, 3, 0, i","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 4098011 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -1499, -3069, -4637, -6203?\nAnswer: -7767","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2913*p + 5856*p - 8 + 3 + 3 - 2899*p.\nAnswer: 44*p - 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*j + 147059 = -7*j + 16*j. What is the tens digit of j?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 260 = 341*t - 81. Solve 2*z - 9 = -t for z.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(j) = -5*j**2. Let f(l) = 3539*l**2. Give k(f(z)).\nAnswer: -62622605*z**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 53692 is divided by 13337.\nAnswer: 344","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 114520763.\nAnswer: 7, 16360109","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2, 9, -196, 1 in descending order.\nAnswer: 9, 2, 1, -196","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -1 = 2*w - 0*w + 3*f, 0 = 2*w - f - 19. What is the remainder when 1495\/55 + 2\/(-11) is divided by w?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 171 + -240. Let k = g + 71. Let v(o) = 3*o + 19. Let x be v(-7). Is x greater than or equal to k?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 51782187 to the power of 1\/9, to the nearest integer?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of -19, -86, -271, -634, -1235, -2134, -3391?\n\"Answer: -10*d**3 + d**2 - 10","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*t = -0*t - 42. Let y = t + -3. What is the units digit of y?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out -8798.19 * -0.0503.\nAnswer: 442.548957","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let n(o) = 5*o**2 + 61*o - 6. Let c(z) = -4*z**2 - 61*z + 3. Determine 3*c(a) + 2*n(a).\nAnswer: -2*a**2 - 61*a - 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 85220641 or 85220640?\nAnswer: 85220641","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.45785 rounded to one decimal place?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let b(n) = -n**2 + 4*n - 3. Let p(x) = x**3 - x**2 - x + 2. Let h be p(0). Let u be b(h). Let k(w) = 5*w**2 + 2*w - 1. What is k(u)?\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -4*p**3 - 32844*p**2 + 1752408*p + 3636160.\nAnswer: -4*(p - 55)*(p + 2)*(p + 8264)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 3 times 1612?\nAnswer: 4836","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let f(h) = -36 + h**2 - 31*h + 4*h + 3*h. Let m be f(26). Solve 210*i**2 + 76*i**3 + 9*i**4 - 78*i**2 + i**4 + 84*i + m + 2*i**4 = 0.\nAnswer: -4, -1, -1\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*i + h - 15 = 0, -3*h + 9 = -2*i - 2*h. Let c = 27 - i. Let k = c + 4. Is 16 a factor of k?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 184216.\nAnswer: 2, 23027","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Work out 0 * 72403.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let z(j) = -j**3 + 6*j**2 - 4*j - 2. Calculate the remainder when z(4) is divided by (4 + -3)\/(10\/50).\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 18340000 to the nearest one million.\nAnswer: 18000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let d(n) = -11*n**2 + 12*n + 60. Let x(c) = 9*c**2 - 10*c - 51. Let r(y) = -4*d(y) - 5*x(y). Let p(z) = -3*z**2 + 5*z + 31. Calculate 3*p(l) - 7*r(l).\nAnswer: -2*l**2 + l - 12","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 16 - 24. Let j(o) = -o**3 - 9*o**2 - 9*o - 4. Let m be j(d). Suppose -600 = 2*q + 4*a, -a - 1222 = m*q + 13. Round q to the nearest one hundred.\nAnswer: -300","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {l: 2, w: 4, y: 6}. What is prob of sequence llw?\nAnswer: 1\/165","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -5857 + 5883. Let d = 66.75 - 41. Let w = d - y. Round w to 1 dp.\nAnswer: -0.3","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of 6433, 12867, 19301?\n\"Answer: 6434*j - 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let j(r) = 3*r + 458459 - 11*r - 458451. Let a(q) = 4*q + 4. Let s be a(-6). Is j(s) a multiple of 21?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 299411569 and 73208?\nAnswer: 9151","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: -11 + (-5 - (-88)\/8)\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (l**(2\/37)\/l**(-2\/3))\/(l*l**(-5\/8)*l**11) assuming l is positive.\nAnswer: l**(-9461\/888)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -109\/182 and 61\/92586?\nAnswer: 648102","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let w(g) = -2*g**3 + 5*g**2 + 4*g. Suppose -5*o + 2 = 22. Let q(z) = z**3 + z**2 + z. Let r(x) = o*q(x) + w(x). Give r(-1).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -240500 to the nearest ten thousand.\nAnswer: -240000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 61944 and 9?\nAnswer: 185832","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 163243419, 326486836, 489730253, 652973670?\nAnswer: 816217087","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of -240, 84, 960, 2664, 5472, 9660, 15504?\n\"Answer: 46*i**3 + 2*i - 288","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*z = 3*z + 117. Let m = z - -3. Which is greater: -12 or m?\nAnswer: m","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 3, 33, -5, 2, 916, 14, -3 in descending order.\nAnswer: 916, 33, 14, 3, 2, -3, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (-4)\/(1 - -5 - 10). Suppose -d + 0 + 2 = 0. Let g be 1*(-4 + h + d). Put -3, g, 0 in descending order.\nAnswer: 0, g, -3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -2161 != -21736?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 239408*h**4 + 2*h*i**2 + 2*i**2 - 21195315*i with respect to h.\nAnswer: 957632*h**3 + 2*i**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 10*z - 89 + 151 = 4*f, 3*z - 3*f + 42 = 0 for z.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) 0.3 (b) -3 (c) -4 (d) -2\/39\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 0 + sqrt(304) + sqrt(152)\/(sqrt(32)\/sqrt(4)).\nAnswer: 5*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let d(o) = -13*o - 1. Determine d(-1).\nAnswer: 12","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*u = s - 27756, -5*u - 27414 = -2*s + 28092. What is the hundreds digit of s?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b be 3\/(-1 - -4)*2. Suppose -4*t = 5*m - 32, b*m = -m + 12. Suppose -6 = -3*h - c, 4*h - 1199*c + 1200*c - 7 = 0. Solve -t*s = -2*s + h for s.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 3024 and 462.\nAnswer: 33264","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: -224601 (base 8) to base 9\nAnswer: -125423","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let x be -4 + 16 + 0 + 2. Suppose 16*q - x - 3*q**2 - 2 - q**2 = 0. Calculate q.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -310, -5, 770 in ascending order.\nAnswer: -310, -5, 770","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*w - 7 = -3*a - 0*a, 5*a - 27 = -w. Solve 0*t - 15 = a*n + 2*t, -3*t - 14 = -n for n.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 0 + 2. Suppose 7*s = -0 + 84. Suppose j + s = c*j. What is the tens digit of j?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 388 minutes before 8:01 PM?\nAnswer: 1:33 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (7\/98*8 - 44\/224)*2.\nAnswer: 3\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(h) = -21*h - 3. Suppose 0 = -3*f + w - 18, -5*w + 5 - 13 = -f. Let n be v(f). Let u = -206 + n. Round u to the nearest 10.\nAnswer: -60","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*m - 4*m + 3*m)*(-2238 + 106*m**3 + 2238) + (m + 3 - 3)*(-2*m**3 + 3*m**2 - 3*m**2) + 3*m**4 + 0*m**4 - 4*m**4.\nAnswer: -321*m**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.001374495 to 5 dps.\nAnswer: 0.00137","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 609.2942us in nanoseconds?\nAnswer: 609294.2","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (-110 + 1)\/((-4)\/(-8)). Let m = 524 + a. Let u = m + -536. What is u rounded to the nearest one hundred?\nAnswer: -200","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 17 + 6*n - n + 5 + 77*n**2 - n.\nAnswer: 77*n**2 + 4*n + 22","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*d = 3*v - 36 - 10, -32683*d = -32679*d + v - 13 for d.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let f(r) be the first derivative of r**4\/4 + 7*r**3\/3 - 3*r**2 + 7*r - 1. Let v be 8\/100 + 2832\/(-400). List the prime factors of f(v).\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 15706 by -90.\nAnswer: -7853\/45","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 310738?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let r be 1 - 3\/12*4. Suppose -132 = -6*h - r*h. Solve 3*x = -4*k + h, k + x - 3*x = 0 for k.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is 1033 + -13?\nAnswer: 1020","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is -2446.595 - 572?\nAnswer: -3018.595","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Divide -59 by 15.\nAnswer: -59\/15","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -294568*g**2*o - 2*g*o - 41*g + 3*o + 9 wrt g.\nAnswer: -589136*o","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is 226521 < 226522?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 122077490 and 40?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (41\/(3690\/3))\/(124\/93).\nAnswer: 1\/40","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 5378?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 170 = -5*b + 40. Suppose 9*q = -4*q + 2717. Let w = b + q. Is w prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 77\/36 and 31\/172.\nAnswer: 1548","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -32 - -18. Suppose f = -2 - 7. Let n = f - -10. Put a, -0.4, n in descending order.\nAnswer: n, -0.4, a","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 127\/131300 and -48\/3025.\nAnswer: 15887300","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 237 minutes before 8:13 AM?\nAnswer: 4:16 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Sort -4, 3, -23, 5, 10, 2 in descending order.\nAnswer: 10, 5, 3, 2, -4, -23","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -y + y**3 + y - y**2 - 5*y - 2*y to p*y + o*y**2 + u + k*y**3 and give o.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -1.6 + 2.6. Suppose 0 = 2*t + 4*g + 18, 3*g + 9 = t + 2*t. Are t and u nonequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out -233659 + 2760.\nAnswer: -230899","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*b = 2*b + 15. Let l be -2 + 16\/20*b. Suppose -l*k = 2*s - 380, -2*s + 5*s + 725 = 4*k. Is k composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 1623245765 and 157?\nAnswer: 157","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let j(v) = 2*v + 6. Let b be j(3). Suppose -7*g + 3*g + b = 0. Let q = -4 - -11. Calculate the remainder when q is divided by g.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(n) = -16*n + 15*n + 157 + 2 - 10*n. Let l be y(15). Which is the smallest value? (a) 3\/4 (b) l (c) 1.2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*x + 2*x = -5*v + 8, -4*x = 2*v - 8. Suppose -2*i = -4*c + 302, 2*c - x*i = -0*i + 154. What is the units digit of c?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out 78.721831052 + 119.\nAnswer: 197.721831052","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let g(o) = o**2. Let f(q) = -5589164*q**2 - 103*q. Calculate f(g(v)).\nAnswer: -5589164*v**4 - 103*v**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*v + 4 = a, -6*a = -2*a + v - 16. Find the third derivative of -4*n**3 - a*n**2 - 5 + 5 wrt n.\nAnswer: -24","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -578 or -2888\/5?\nAnswer: -578","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let w(h) = 161*h**2 + 2*h + 2. Let z(m) = -m**2 - 12*m - 37. Suppose 2*y = -8 - 4. Let d be z(y). What are the prime factors of w(d)?\nAnswer: 7, 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 624298746 a multiple of 1963?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is -7\/11 greater than or equal to -2?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 5 divided by -1776?\nAnswer: -5\/1776","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Sort 14, -4, -6, 18, 6.\nAnswer: -6, -4, 6, 14, 18","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Sort 5, -4, 0, -10, 15, -94, 22 in ascending order.\nAnswer: -94, -10, -4, 0, 5, 15, 22","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 5293646 and 838?\nAnswer: 838","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let t(y) = -y**3 - 6*y**2 + 27*y + 12. Let i be t(-9). Suppose -i = -g + 1090. What is the thousands digit of g?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(r) = -r**3 + r**2 - r - 8. Let f be v(0). Let n(s) = 6*s**2 + 7*s + 11. Is n(f) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1390 a factor of 1608230?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 312 and 3.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is -131 + 1?\nAnswer: -130","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -5*n**4 + 10391388*n + 666847288?\nAnswer: -20*n**3 + 10391388","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let s(u) = 2*u**2 + 5*u - 1. Let a be (-45)\/12 - 1\/4. Let w be s(a). Suppose 2*i - w = 5. List the prime factors of i.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 388 minutes after 12:18 PM?\nAnswer: 6:46 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 15 = -3*p + 15. Let s be 28\/(-21)*18\/(-32) - p. Which is the closest to -2\/5? (a) 0.5 (b) -4 (c) s\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*i - 78 - 2002 = -4*q, -q + i = -530. List the prime factors of q.\nAnswer: 3, 5, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {j: 18, n: 1}. What is prob of sequence jj?\nAnswer: 17\/19","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -39 - -33. Let b(i) = -8*i + 2. Let a(f) = -8*f + 2. Let y(p) = t*b(p) + 7*a(p). Differentiate y(h) wrt h.\nAnswer: -8","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose l - 3*i + 16 = -4*i, -12 = l - i. Let j = l - -30. What is the tens digit of j?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -1165*d**3 - 5108*d**3 + 530*d**3 - 20*d**3.\nAnswer: -5763*d**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there in 31\/2 of a hour?\nAnswer: 930","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 1? (a) -2 (b) 2\/5 (c) 284\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve h**5\/9 - 14*h**4\/3 - 157*h**3\/3 + 592*h**2\/9 + 340*h\/3 = 0.\nAnswer: -10, -1, 0, 2, 51","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (5 + (-95)\/10)*-2. Find the second derivative of -j**5 + 6*j - c*j + 4*j**5 wrt j.\nAnswer: 60*j**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (0 - 2)\/(-6 - (-10)\/2). Solve -r = -3*j + 4*j for j.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -15*m**3 + 2573442*m - 5146881*m + 2573442*m.\nAnswer: -15*m**3 + 3*m","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 4117 and 46.\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:45 AM and 10:07 AM?\nAnswer: 142","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Express (i**3 - 2*i**3 + 2*i**3)*((5 - 1 - 5)*(3 - 3 - 2) + (3 - 3 - 2)*(-2 + 28 - 5)) as v*i**2 + s*i + x*i**3 + q and give x.\nAnswer: -40","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let m(i) = -i**3 - 11*i**2 + 135*i + 1413. Determine m(-13).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-1 + sqrt(10)\/sqrt(2) - ((sqrt(5) + sqrt(20))**2 + 5)) + 4 - (((sqrt(300)\/sqrt(5))\/sqrt(12))**2 + sqrt(80)*-4).\nAnswer: -52 + 17*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) -1 (b) 10 (c) -5\/4 (d) -0.9 (e) 0.15 (f) 3\/4\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Round 712800 to the nearest one hundred thousand.\nAnswer: 700000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 145 is divided by 41.\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -4*(sqrt(95)*-3)\/sqrt(5).\nAnswer: 12*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 726?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -12 - -17. Let v be s\/(-25) - 27\/(-210). Let x = 49 + -49. Which is bigger: v or x?\nAnswer: x","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 0.2 and -275?\nAnswer: -55","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 5\/134 or -0.02?\nAnswer: -0.02","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Divide 875 by 1230.\nAnswer: 175\/246","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 398310906 divided by -14.\nAnswer: -28450779","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is -87251987 rounded to the nearest 1000000?\nAnswer: -87000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is 5 a factor of 5787607?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let x(q) be the third derivative of 3\/80*q**6 + 0*q**3 + 62*q**2 + 0 - 1\/140*q**7 + 0*q**5 - 1\/4*q**4 + 0*q. Factor x(c).\nAnswer: -3*c*(c - 2)**2*(c + 1)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 677 minutes after 1:15 PM?\nAnswer: 12:32 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve -m**4\/5 + 1113*m**3\/5 + 6137*m**2 + 108231*m\/5 + 15732 = 0.\nAnswer: -23, -3, -1, 1140","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let y(k) be the third derivative of k**5\/60 + 2*k**4\/3 + 37*k**3\/6 + 36*k**2 - 1. What is the first derivative of y(a) wrt a?\nAnswer: 2*a + 16","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: ((-6)\/10)\/((-1305)\/(-4785))\nAnswer: -11\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Sum 0.5 and 1306943.4858706.\nAnswer: 1306943.9858706","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 64 - -62. Let y = -111 + a. Solve y = -9*j + 4*j for j.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(f) be the second derivative of 37*f**4\/12 - f**3\/6 + f**2\/2 - 7*f. Is a(1) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (-1)\/(-4) - 10\/40. Suppose j*a = -4*a + 100. Is a a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((u\/(u**(-1\/9)*u))\/u**(1\/8))\/(u**(-2\/3)*u)**46 assuming u is positive.\nAnswer: u**(-1105\/72)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 30687668 to the power of 1\/9, to the nearest integer?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(2240)*4 + sqrt(2240) - sqrt(2240))*-6*1)\/((1*4*sqrt(112) + sqrt(112))*3).\nAnswer: -16*sqrt(5)\/5","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Does 81 divide 69509?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Divide -160 by -1.\nAnswer: 160","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -2*n + 6*b + 26, 3*b = 18*n - 20*n - 10 for n.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 7393554175?\nAnswer: 5, 7, 1453, 29077","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let a(x) = -3*x - 2. Let c = 234 + -466. Let z = c + 234. Give a(z).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*w + 37 = -0*w - 5*r, -9 = 4*w - 3*r. Let g be 6 + -6*w\/9. Suppose -5*l + 0 = -g. Solve -l*i = -7*i + 20 for i.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -1 or -4\/3779159?\nAnswer: -4\/3779159","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -465 + 651. Let v be (0 - 2) + a\/341 + 2. What is z in 2\/11*z**5 - 4\/11*z**4 + 8\/11*z + 0 - v*z**3 + 8\/11*z**2 = 0?\nAnswer: -1, 0, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (1 - 3 - 3) + (-2992)\/(-510) - 1.\nAnswer: -2\/15","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 4.334 + 0.381. Let l = d - 0.715. Which is the closest to 3\/7? (a) 1\/4 (b) l (c) -0.3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 138944290 to the nearest integer?\nAnswer: 518","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -31\/245 and -121\/10?\nAnswer: 490","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 11 and 293.\nAnswer: 3223","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of 3773, 3765, 3759, 3761, 3777, 3813, 3875?\n\"Answer: t**3 - 5*t**2 + 3777","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 17112 - 17025. Solve -m*w - 39 = -74*w for w.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 45 in -4, 2\/7, -1\/5?\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: How many years are there in one quarter of a century?\nAnswer: 25","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (3\/294)\/((3835\/(-30))\/13). Let g = 367103\/52038 - c. What is the common denominator of g and 97\/12?\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4708 - 2354 = 451*y - 1030 - 7891 for y.\nAnswer: 25","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let q(w) = -10*w**3 - 43*w**2 + 10*w. Let p be q(-5). Suppose -f + 2*f = 127. Let i = f - p. Solve i*m - 3*m + 5 = 0 for m.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(r) be the third derivative of -r**8\/672 - r**7\/140 - r**6\/80 - r**5\/120 - 3*r**2. Factor z(g).\nAnswer: -g**2*(g + 1)**3\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 650 + 8065 = -415*d for d.\nAnswer: -21","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 0 - (25 - 3) - (6 + -17)?\nAnswer: -11","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is -20123 (base 5) in base 14?\nAnswer: -680","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let b(a) be the second derivative of a**5\/20 - 5*a**4\/3 - 5*a**3\/6 + 67*a**2\/2 + 2*a - 32. What is the hundreds digit of b(22)?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -8 - -12. Solve o*a - 5 = 3*m, 5*m + 0*m - 13 = -4*a for m.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 54 - 108 + 54 + 4*z.\nAnswer: 4*z","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*l - d - 21 = -5*d, 21 = 3*l + 5*d. Let x(g) = g - 11. Let k be x(l). Let c(j) = j**3 + 3*j**2 - 6*j - 4. Is c(k) a multiple of 4?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 14291 to the nearest integer?\nAnswer: 24","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from ajjjaaaaajaaaaaaaaja. What is prob of sequence jaaa?\nAnswer: 455\/3876","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 1 or -40\/2651477?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-34 - -32) + (1 - (2 - 1))?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(c) = 3*c. Let o(m) = 58019399*m. Calculate o(h(y)).\nAnswer: 174058197*y","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -1\/2 in -3\/8, -395\/7, 0.02?\nAnswer: -3\/8","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is -5371197 smaller than -5371178?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let m be -1*(-4 - -3 - 1). Suppose -m*u + 5 = -3. Suppose 305 = u*y + 81. List the prime factors of y.\nAnswer: 2, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(t) = -6*t**2 + 178*t - 132. Let x(z) = 2*z**2 - 59*z + 45. Let p(g) = -3*r(g) - 10*x(g). Give p(27).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 531*m + 661*m**2 - 672*m**2 - 531*m.\nAnswer: -11*m**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -0.1709 - -113.1709. Is n bigger than 0?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(a) = 15*a - 15*a - 2*a**2. Let x(w) = -w**2 + 2*w. Let d(s) = -3*s**2 + 5*s. Let v(n) = -4*d(n) + 10*x(n). Calculate g(v(c)).\nAnswer: -8*c**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 349 - 699\/2. Which is the biggest value? (a) n (b) 0.06 (c) 0.2 (d) 2\/9\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(u) be the second derivative of -158*u - 1\/2*u**3 + 2*u**2 + 0 + 1\/12*u**4. Determine f(7).\nAnswer: 32","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.01280287948 rounded to 5 dps?\nAnswer: -0.0128","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -2*c**2*n + 529*c*n + 17*n + 11 with respect to c.\nAnswer: -4*c*n + 529*n","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 5027301?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -8*r + 9*r - 54. What are the prime factors of r?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 900\/(-1050)*(-42)\/(-3).\nAnswer: -12","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*n - 5*u + 54 = -7*u, -4*u = 12. Suppose -26*x - n = -34*x. Calculate the remainder when 16 is divided by x.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(j) = j**2 + 2*j + 2. Let b be a(-3). Let z(m) = m**2 - 5*m + 2. Let n be z(b). Suppose h = -v + n*h + 30, -3*v = -2*h - 94. Is v composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(z) = -z**3 + 50*z**2 - 6*z + 299. Let k be j(50). Let a = 6053\/13 + -466. Is a greater than or equal to k?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n be 11 - 3 - (2 + 1). Solve -n*v - 20 + 5 = 0 for v.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -1\/1914 - 1435\/957. Which is the third smallest value? (a) -2\/9 (b) -52 (c) r\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(v) = -7*v - 87. Let o be m(-17). Is o greater than 163\/5?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is (48\/72)\/(4\/1662) a multiple of 26?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 9916 to the nearest one hundred.\nAnswer: 9900","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*i - 1422 = -5526. Suppose -a = -5*a + 4*j + i, -a + 176 = -2*j. Which is smaller: a or 165?\nAnswer: 165","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*d - 7*d + 20. Let b be 41 + (-1)\/1 + 4. Suppose -d*f = -2*f - b. Is f prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 70, -113, 23, -2, 2, -1, 0 in ascending order.\nAnswer: -113, -2, -1, 0, 2, 23, 70","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (1 + (sqrt(304) + 0 - sqrt(304)) + 0 + ((sqrt(133)*1 + sqrt(133))*6)\/(sqrt(7) - (sqrt(7) - sqrt(343)*2)))**2.\nAnswer: 12*sqrt(19)\/7 + 733\/49","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 1842*i*o**3*x + 4*i*o**3 + 698*i*o**2 - 2*i*x - 14*o**2*x wrt o.\nAnswer: 11052*i*x + 24*i","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -319? (a) -0.5 (b) 0.02 (c) 1\/5 (d) 89 (e) -1\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 9.216 - 0.116. What is v rounded to the nearest integer?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 102085 a multiple of 66?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -1424, -1068, -700, -302, 144?\nAnswer: 656","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -4.2 + -12.8. Let k = 4768470.000052 + -4768487. Let i = w - k. What is i rounded to five decimal places?\nAnswer: -0.00005","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -1300033, -1299669, -1299305, -1298941, -1298577?\nAnswer: -1298213","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Does 6 divide 2838?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -44 = 2*j + 3*o - 127, -9 = -3*o. Is j prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 169210566 to the nearest integer?\nAnswer: 553","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence evee when four letters picked without replacement from {k: 3, e: 8, d: 3, v: 3, a: 1}?\nAnswer: 7\/510","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -1 - -1.04. Let u = -0.36 - s. Let l be 3 + (-1 - -1 - (-44)\/(-20)). Which is the second biggest value? (a) -4 (b) l (c) u\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*w - 3333 = -0*w. What is w rounded to the nearest 100?\nAnswer: -1100","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(d) = -2*d**3 - 29*d**2 + 12*d - 43. Let g be o(-15). Let n be 2\/6 + (0 - 0). Sort n, 0.4, g in decreasing order.\nAnswer: g, 0.4, n","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: 803 divided by -86728\nAnswer: -803\/86728","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -1261 + 4*u - 131 - 107.\nAnswer: 4*u - 1499","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*n - 3 = 5*x - 8, 4*x + 3*n = -23. Let a = -213 + 1919\/9. What is the nearest to 0.3 in -3, x, a?\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 40.8 + -37.8. Which is the third smallest value? (a) f (b) -173 (c) 0.3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*o = -2*s - s + 240, 402 = 5*s + 3*o. Let v = -95 + 109. What is the remainder when s is divided by v?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Add 147.11568 and -207197.\nAnswer: -207049.88432","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 10101101101010001100 (base 2) in base 13?\nAnswer: 1bb9c0","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -3916*l**3 - 7*l**2 + 272 wrt l?\nAnswer: -23496","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:21 AM and 2:59 PM?\nAnswer: 458","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -19\/15 and -2 - (-474)\/(-216) - 4\/(-6)?\nAnswer: 180","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from hhchcchhchhmhm. What is prob of sequence chmm?\nAnswer: 8\/3003","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence zudo when four letters picked without replacement from oczduzug?\nAnswer: 1\/420","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 8836*m + 4 + 10152*m + 940*m - 5061*m.\nAnswer: 14867*m + 4","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 22116652 is divided by 850640?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 6\/27*756\/(-42).\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1027?\nAnswer: 13, 79","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -408620\/333 + 27486\/37. Let l = -484 - m. Sort -1\/3, 0.037, l, 5 in decreasing order.\nAnswer: 5, l, 0.037, -1\/3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 9 divided by 1829.\nAnswer: 9\/1829","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let c(s) = -11*s - 15. Let a be 8\/(-6)*(0 - 30). Suppose 2*k = -2*k - a. Is c(k) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: -204875 divided by 5\nAnswer: -40975","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Does 5 divide 2241?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {c: 1, y: 6, q: 3, d: 2, z: 2}. Give prob of picking 1 q and 1 y.\nAnswer: 18\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((g**0\/g)**(-1\/47))**1*((g**(-2\/19)*g)\/(g\/(g\/g**2)*g))**11 assuming g is positive.\nAnswer: g**(-20661\/893)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.1 times 150?\nAnswer: -15","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 4760 + -4680. What is the remainder when 632 is divided by r?\nAnswer: 72","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (1 + -2*((-1 + sqrt(98))*-4 + 5 + sqrt(98)*-2 - (3 + sqrt(98) + -2)*2))**2.\nAnswer: -2912*sqrt(2) + 25257","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 56\/27 and 62\/261.\nAnswer: 783","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -71\/12696 and 133\/3174?\nAnswer: 12696","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve -21*m = -9*m - 24 for m.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is 13070\/30281 bigger than 1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) 1\/3 (b) -1 (c) -5.2948 (d) -2\/11\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 113039?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let l(q) = q**3 + 42*q**2 + 3222*q - 6608. Calculate l(2).\nAnswer: 12","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence rbd when three letters picked without replacement from drdrdrdrbg?\nAnswer: 1\/45","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 121 - 117. Let d(u) = 33*u**3 - 69*u**3 + 37*u**3 + 6*u**2 + 0 + 4*u - h. Determine d(-4).\nAnswer: 12","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 5470 is divided by 158.\nAnswer: 98","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 4 - 2*f**2 + 2*f - 2 - 2 - 2*f**3 - 2*f**4 to the form p*f**3 + s*f**4 + x*f**2 + z*f + w and give s.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 1? (a) 0.18 (b) -0.5 (c) -0.3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in 4, 0.26, -3, -0.4?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 7983714?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is 163 a factor of 2411748?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 5467901 is divided by 1378?\nAnswer: 1375","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3010 = -48*n + 60*n + 58*n for n.\nAnswer: 43","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let 2*c**2\/15 - 38702*c\/15 - 23232 = 0. Calculate c.\nAnswer: -9, 19360","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-22 - 1720\/(-60))*(-468)\/120*2.\nAnswer: -52","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1504189 to the power of 1\/3, to the nearest integer?\nAnswer: 115","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let j(o) = 5*o**2 - 72*o + 91. Give j(12).\nAnswer: -53","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Round -5072672.6 to the nearest 10000.\nAnswer: -5070000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Convert 1.39441 millilitres to litres.\nAnswer: 0.00139441","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Factor 4*q**4 - 24*q**3 - 80*q**2 + 96*q + 256.\nAnswer: 4*(q - 8)*(q - 2)*(q + 2)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -87*b + 76*b + 22198. Let n = -425 + b. What is the units digit of n?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 37.8186ns to minutes.\nAnswer: 0.00000000063031","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 3 u when three letters picked without replacement from xxuxuxxuxx?\nAnswer: 1\/120","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 85510 is divided by 42746.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 427089?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {c: 9, n: 2}. What is prob of sequence ccc?\nAnswer: 28\/55","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let r(c) = -c. Let s(h) = -4*h. Let d(w) = 2*r(w) - s(w). Let o(a) = 23*a**2. Determine o(d(b)).\nAnswer: 92*b**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 24224881?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 1824 and 5792.\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 48351?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let h(j) = 21*j**3 - j**2 - j + 1. Suppose -5*c + 7 = d - 1, 5*d + 3*c = 18. Suppose 4*f - 5 - d = 0. Is h(f) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(x) = 7*x**2 + 3*x + 53. Let l(f) = -3*f**2 - f - 27. Let z(g) = -2*c(g) - 5*l(g). What are the prime factors of z(10)?\nAnswer: 7, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -1 divided by 92596365.\nAnswer: -1\/92596365","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let f(c) = c**2 + 8*c + 15. Let r be f(-6). Let u(l) = 3*l**2 - l**2 - 3*l**2 + l + 3. Determine u(r).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -8 (base 14) to base 4.\nAnswer: -20","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 169*x = 205*x - 144. Let w(y) be the second derivative of -10*y + 3\/4*y**x - 1\/20*y**5 + 0 - 1\/6*y**3 + 3*y**2. Calculate w(9).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(h) = -h**3 - 2*h**2 + 5. Let v(d) = d**3 + 5*d**2 - 11. Determine -5*o(r) - 2*v(r).\nAnswer: 3*r**3 - 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 7.4 + -1.4. Let n = -31636 + 31653. Which is smaller: s or n?\nAnswer: s","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 26 + -26.9. Which is bigger: v or 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -975482 = -4*w - 62614. Suppose 5*t + w = -271783. What is t rounded to the nearest one million?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express j + 6*j**3 + 4*j**3 + 15*j**3 - 21*j**3 in the form w + t*j**2 + q*j + l*j**3 and give q.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((((y*y*y*y\/y**1*y)\/y)**(-4\/25))**30)**(-15\/8) assuming y is positive.\nAnswer: y**27","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let w(m) = m**3 + 4*m**2 - 9*m - 36. Let c be w(-4). Suppose c = 4*z + 4*k - 58 - 2, 5 = -2*z + 5*k. Solve 5*v - 5*j - 25 = 0, v - 2*j + z = -4*j for v.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7*d + 4 = -5*d. Suppose 12 = d*y + 4*y. What is the units digit of (-13)\/((y + 2)\/(-4))?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -45 + (-2 - -42) + (-208 - -184).\nAnswer: -29","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let w(n) = -n. Let g(c) be the first derivative of -c**4\/4 - 3*c**2 + 1. What is g(l) - 6*w(l)?\nAnswer: -l**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let x(n) = 2*n**2. Let p be (-5)\/((-5)\/2) - 1. Suppose 2*o - p = 5. Let w(c) = -1 - o*c + 1. Give x(w(z)).\nAnswer: 18*z**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Find k such that 4*k**2 - 608558936*k + 23146498661590756 = 0.\nAnswer: 76069867","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let v be 0\/91*((-1)\/1 - 0). Put 5, -437, v, 1 in increasing order.\nAnswer: -437, v, 1, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 418 minutes after 5:36 AM?\nAnswer: 12:34 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -2? (a) 4 (b) -3 (c) 0.01609 (d) -0.1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -13500 = -4*m + 4*u, 6*m + 4*u - 10139 = 3*m. Is m composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: 0.7189 times -59.8\nAnswer: -42.99022","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Work out 0.09 * 22.\nAnswer: 1.98","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 522 is divided by 107?\nAnswer: 94","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 54 and -14.0735?\nAnswer: -759.969","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*s = 8*s - 50 for s.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 91927173?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -13 = 4*k - 33, k = -3*c + 101. Calculate the highest common divisor of 30720 and c.\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 8917 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 269378 and 5872.\nAnswer: 734","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 75.085008 - 0.059008. Let m = t + -1.616. Let z = m + -73. What is z rounded to one dp?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(425) + sqrt(425)*-3*2)*6.\nAnswer: -150*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let y(x) = -12*x - 1. Let j(d) = 3620*d. Determine j(y(v)).\nAnswer: -43440*v - 3620","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is -7 + 3cd0a?\nAnswer: 3cd03","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Put -1, -3, -10198 in decreasing order.\nAnswer: -1, -3, -10198","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is -91832237.6 minus -0.1?\nAnswer: -91832237.5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*y - 5*d = 158, 0*y - 2*d - 81 = -y. Is y a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(m) = 13*m + 26. Let i be s(0). Calculate the highest common divisor of 1742 and i.\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {k: 1, f: 2}. What is prob of sequence ffk?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 225885?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -13070, -26808, -41218, -56300, -72054?\nAnswer: -88480","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let p(s) = -9*s**3 - 7*s**2 - 7*s + 7. Let v(j) be the first derivative of 5*j**4\/4 + 4*j**3\/3 + 2*j**2 - 4*j - 12. Give 4*p(y) + 7*v(y).\nAnswer: -y**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 270 minutes before 3:31 AM?\nAnswer: 11:01 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -2\/7? (a) 3 (b) 24 (c) 0.3 (d) -2\/11\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (g*g**(-2\/7))**21\/((g**7\/g)\/g**6)*g**(3\/4)\/(g**0\/g)*g**(-2\/7)\/(g\/(g*g**(-1\/7))) assuming g is positive.\nAnswer: g**(457\/28)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 1? (a) 10 (b) 0.05 (c) -2 (d) 5 (e) 2183\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 381134 is divided by 127036?\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Divide 111 by 37.\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-24)\/2)\/(-12)*8?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let t(w) = 4 + w + 0*w + 0*w. Let x be t(7). Let j = -1 - x. What is j rounded to 0 decimal places?\nAnswer: -12","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r**2\/3 + 211*r\/3 + 1030\/3 = 0. Calculate r.\nAnswer: -206, -5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Does 55 divide 4363?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth root of 1223411550 to the nearest integer?\nAnswer: 66","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 3740800 rounded to the nearest 100000?\nAnswer: 3700000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -40? (a) -1 (b) -1.23 (c) -92 (d) -5\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: -13 - -3*56\/42\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: ((-12)\/(-2)*6\/210)\/(147\/(-1029))\nAnswer: -6\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 5? (a) 5 (b) -1 (c) 69 (d) -0.8 (e) -5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let q be 1 + 1 + -2 + 10. Suppose -l + 5*n + 96 = 3*n, 4*n + 388 = 4*l. Let w = -68 + l. Calculate the highest common divisor of q and w.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out 1767184 + -1570.\nAnswer: 1765614","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (8\/6)\/((-2)\/(-3)). Suppose -a + 5*a - 36 = -p, 8 = -w*p. Suppose 3*h + 5 = -a. What is the second smallest value in -1\/3, 0.3, h?\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -53\/170 and 29\/8920?\nAnswer: 151640","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify n*n*n*n\/(n**(-9\/2)*n)*n*n\/n**(13\/4)*n*n assuming n is positive.\nAnswer: n**(33\/4)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Expand (6*u**3 - 2*u**3 - 2*u**3)*(5 - 2 - 1)*(3 + 3 + 2)*(-4 + 4 - 3*u**2).\nAnswer: -96*u**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -212 + 201. What is the second biggest value in t, 2, -2\/7?\nAnswer: -2\/7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7 = o + 4*o - 3*q, -4*q - 4 = -4*o. Suppose -28 = -a + 16*z - 18*z, 0 = -o*a + 3*z + 28. What is the remainder when 44 is divided by a?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -42\/55 and -99\/80.\nAnswer: 880","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let l(c) = -c**2 - 12*c + 2 - 2 + 3. Let y be l(-12). What is the first derivative of -4 - 6*z**y - 1 + 0*z**3 + 0*z**3 wrt z?\nAnswer: -18*z**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 40, 20, -8, -44, -88?\nAnswer: -140","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 0 - 0.2. Let r be (-7 + 42\/7)*-2. Suppose -2*u + 9 = -6*u + 5*o, -2*u + 4*o - 12 = 0. Which is the closest to 0? (a) u (b) q (c) r\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 161896289 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -159 + -74. Let q = k + 467\/2. Find v such that -v**4 - q*v**5 + 0*v - 1\/2*v**3 + 0*v**2 + 0 = 0.\nAnswer: -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Product of -0.5 and 41252.898.\nAnswer: -20626.449","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Express (-2*q + q + 0*q)*(1 + 1 - 1)*(-245 + 132*q + 245) in the form c*q**2 + z + n*q and give n.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 2.5 + -5.54. Let m = c - -2.94. Put 1\/3, m, 7 in decreasing order.\nAnswer: 7, 1\/3, m","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -7 - -7.2. Let n = 38.16 - 0.16. Let o = -37294 - -149173\/4. Sort v, n, o in descending order.\nAnswer: n, v, o","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: 10230 (base 5) to base 13\nAnswer: 411","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let a(i) = i**3 + i**2 + i. Let c(m) = m**3 - 11*m**2 - m - 5. Let z(u) = 6*a(u) + c(u). Let n(y) = 11*y**3 - 8*y**2 + 8*y - 8. What is -5*n(f) + 8*z(f)?\nAnswer: f**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (-42 - -44)*(-15)\/(-2). Suppose z*m + 17*m = 40704. List the prime factors of m.\nAnswer: 2, 3, 53","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 12164*q + 12646*q = 8650*q + 387840 for q.\nAnswer: 24","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.00000297 to six decimal places.\nAnswer: -0.000003","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-16)\/18*(-2)\/32*4?\nAnswer: 2\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 9 or 39862\/5171?\nAnswer: 39862\/5171","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 1982325?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 4*q - 4066 + 1667 + 1652 + 768.\nAnswer: 4*q + 21","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let p(a) = 17*a**2 - 2*a - 1. Let f(i) = -i**3 - 7*i**2 + 8*i + 10. Let g be f(-8). Let h = g + -11. What is the units digit of p(h)?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -133 + 32*j**3 + 133 + (3 - j - 3)*(2*j**2 + 0 + 0) - 5*j**3 - 2*j**3 + 6*j**3 in the form p*j**3 + n + y*j**2 + k*j and give p.\nAnswer: 29","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 56236 or 49737?\nAnswer: 56236","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (65\/(-15))\/(2\/6). Let g = c - -18. Factor f + g*f + 4 + 2*f**3 - 2 + 6*f**2.\nAnswer: 2*(f + 1)**3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 29\/6 and 33\/442?\nAnswer: 1326","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 710808 is divided by 17335.\nAnswer: 73","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -10 or -136\/15?\nAnswer: -136\/15","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of -223, -405, -587?\n\"Answer: -182*k - 41","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: 3 (base 11) to base 12\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 410976517?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from uuzzu. What is prob of sequence zuuu?\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 66899?\nAnswer: 7, 19, 503","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-9)\/6*(-28)\/6.\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 444513*l**3 + 62855*l**2?\nAnswer: 2667078","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Sort 3, -0.1, -0.011 in descending order.\nAnswer: 3, -0.011, -0.1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 45934 - 45630. What is the remainder when 6385 is divided by z?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let 128*z**3 + 30 + 5*z**5 - 90 + 17*z**2 - 53*z**3 + 8*z**2 + 35*z**4 - 80*z = 0. What is z?\nAnswer: -3, -2, -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (2 - 3)\/(3\/12*-2). Suppose -4*s = -3*n + 2, 3*n + 2*n - 12 = -v*s. Let i be -1 + (-1)\/((-2)\/6). Solve i*g - 4*g - n = 0 for g.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 36 minutes before 5:39 PM?\nAnswer: 5:03 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1042107 is divided by 16?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 34064 - 34064. What is the nearest to -2 in -7, -2, z, -11?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 0.5 - 2.5. Let z = 1.651 + -1.691. Which is the third biggest value? (a) d (b) z (c) -5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 1 - -4. Suppose f*j = 3*j + 24. Suppose 30 = -296*m + 302*m. Solve 0 = -h + m*k - k + 7, -k = -3*h - j for h.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: 18738 (base 14) to base 3\nAnswer: 10010202112","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 h and 1 z when two letters picked without replacement from {h: 1, d: 1, z: 1}?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let s(c) = 390*c - 2335. Let k be s(6). Put 0, -5, -86, k in increasing order.\nAnswer: -86, -5, 0, k","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is one tenth of a kilometer in millimeters?\nAnswer: 100000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 5 - 3. Suppose 3*o - q*b = 2, 0 = 4*b - 0*b - 20. Is o even?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -253 - 54 - 44 - 3*j + j - 214 - 386.\nAnswer: -2*j - 951","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 10246720 and 7872?\nAnswer: 2624","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-4 - 2) + (38 - (38 - -1))?\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-5*m**2 + m**2 + 3*m**2)*(0*m + 5*m - 7*m) + 4*m**3 - 9*m + 9*m.\nAnswer: 6*m**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Put 21, -8, -4 in increasing order.\nAnswer: -8, -4, 21","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is (-75)\/(-2 - 3)*5 a multiple of 15?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -24*z + 19*z + 3365. Is z a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 1025126 (base 9) to base 8.\nAnswer: 2056731","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let b(v) = 2*v + 43. Give b(-11).\nAnswer: 21","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 5*u - 8 - 47. Suppose -3*f = -i + 18, -2*i - 3*i + 22 = 2*f. Let v = i + u. Calculate the greatest common divisor of 17 and v.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b be 12\/15*25\/10. Let z be (-15)\/20*b*2. What are the prime factors of z*2888\/(-96) - (-6)\/8?\nAnswer: 7, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 1991857.5 + -1991848.699983. Let a = -8.8 + f. Round a to five decimal places.\nAnswer: 0.00002","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -101477896 by 2.\nAnswer: -50738948","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is -2\/42631 > 0?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: 1524 - 0.457\nAnswer: 1523.543","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let y(v) = -12*v**2 - 3*v + 70. Calculate y(10).\nAnswer: -1160","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*t - 2*c + 779 - 743 = 0, -97 - 231 = 34*t + 4*c for t.\nAnswer: -10","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let k(m) = 225*m + 357. Let x(n) = 64*n + 102. What is -5*k(c) + 18*x(c)?\nAnswer: 27*c + 51","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in 0, 1, -229102, 278?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let p(f) be the first derivative of 0*f**2 + 8\/3*f - 2\/9*f**3 + 6. Factor p(h).\nAnswer: -2*(h - 2)*(h + 2)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -6 in 87, -225, 5, 3\/4?\nAnswer: 3\/4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 1003 and 85.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 2 + -2.05. Let q = -0.95 + n. Let i = -5132\/17 - -302. Which is the nearest to -0.2? (a) q (b) 3 (c) i\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -79*p - 29*p - 109*p - 110*p - 1.\nAnswer: -327*p - 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Product of 143926 and -0.3.\nAnswer: -43177.8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 4 + a**2 + 2*a + 26 + 4*a**2.\nAnswer: 5*a**2 + 2*a + 30","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 10*o - 6*o + 3*c = 628, -o = 3*c - 157. Let z = o - 153. Solve -x = -0*x - z for x.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1, -1039.9, 10815.\nAnswer: -1039.9, 1, 10815","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 105 and 1224?\nAnswer: 42840","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let g(s) = 29*s**2. Let t(a) = -34*a**2 - a. Give t(g(f)).\nAnswer: -28594*f**4 - 29*f**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 85558977 and 558.\nAnswer: 279","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2*6\/(-54) + (-2668)\/(-18)?\nAnswer: 2, 37","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out 451735 * -0.08.\nAnswer: -36138.8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let w(p) = -p**2 + 10*p - 8. Let i be w(9). Let m be 2*2*(-2)\/(-4). Suppose m*f - 13 = v - f, -3*f + 11 = v. Which is bigger: i or v?\nAnswer: i","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (q\/q**0)**(-45)\/((q**(-1\/4)*q)\/q**(-5))*(q*q**(-2\/5))**44\/(q*q*q**(-1\/2))**(-31) assuming q is positive.\nAnswer: q**(443\/20)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -0.2 - -261.2. Let j = l - 257. What is the closest to 1\/3 in -3\/4, -3, j?\nAnswer: -3\/4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(p) = p - 1. Let n(m) = -5*m**2 - 7*m - 4. Let x(s) = n(s) + 4*u(s). Let l(v) be the first derivative of x(v). What is the tens digit of l(-2)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -535665241 plus -69?\nAnswer: -535665310","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*c + 6*c = 22. Solve 0 = -v + 4*t + 5, -5*t = -v + 4*v + c for v.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -30*l + 28*l + 10. Suppose 4*n + 4*a - 160 = 0, -5*n + 137 = -l*a - 33. Is (n + -3)*(-1 - -2) a multiple of 13?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose q - 5*f + 29 = -0*q, -3*q = -2*f + 22. Let v be q\/6 - (-6)\/9. Solve 2*j - j = v for j.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 2, -1457, -0.1 in descending order.\nAnswer: 2, -0.1, -1457","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Find b such that 4*b**5\/7 - 9118*b**4\/7 + 5175552*b**3\/7 + 23456680*b**2\/7 + 10433312*b\/7 = 0.\nAnswer: -4, -1\/2, 0, 1142","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let m(z) = -z**3 - 63*z**2 - 286*z + 84. Determine m(-58).\nAnswer: -148","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 30961.3101 + -30957. What is t rounded to one dp?\nAnswer: 4.3","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 30\/132*28\/(-35).\nAnswer: -2\/11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -j - 2*j + 20 = -2*t, 20 = -5*t. Let s = j + -1. Let z = s - 1. List the prime factors of z.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 222.5037 rounded to 0 decimal places?\nAnswer: 223","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 559?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is (60068\/(-56)*-2)\/(20\/140) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (t*t\/t**(-2)*(t*t*t**(1\/23))\/t*t)\/((t\/t**36*t*t)\/t**(-1\/17)) assuming t is positive.\nAnswer: t**(15243\/391)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let a be 1*(0 + 1 + 1). Suppose -7*n + a*n = -25. Let i(h) = -h**3 - 4*h**2 + 10*h + 10. Let z be i(-6). Solve -n*v + z = 2 for v.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 48 and 20945312?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let u(i) = -2 - 3 + 3 - i - i**2. Let r be u(-2). Suppose 90*a + 1298 - 2599 + 1751 = 0. Put a, 7, r, 2 in increasing order.\nAnswer: a, r, 2, 7","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(19) + (-2*sqrt(19))**2 + -4 + -1.\nAnswer: sqrt(19) + 71","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*y - 2*j - 68 = -4*j, 82 = 5*y + j. Calculate the least common multiple of y and 12.\nAnswer: 48","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((((c\/c**13*c)\/c*c)**(-5))**(-19\/5))**(2\/19))**(-2\/27) assuming c is positive.\nAnswer: c**(44\/27)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*h + 4*n + 260 = 0, -2*h = 4*n - 36 - 88. Suppose -3*a + 29 + 28 = 5*f, 2*f = 5*a - h. Let c = a + 17. List the prime factors of c.\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is 102100201111 + -111?\nAnswer: 102100201000","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let g(l) be the first derivative of 1\/7*l**3 + 4 + 0*l**2 - 3\/7*l. Factor g(x).\nAnswer: 3*(x - 1)*(x + 1)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k be ((-1362)\/(-2))\/(8 + -5). Solve 231*z - k*z = -8 for z.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 1 in 4, 0.08, 1\/5, -5?\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Does 11 divide 1870?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let b(h) be the second derivative of h**4\/12 + h**3 + h**2\/2 - h. Let o(i) = -3*i - 1. Let g(k) = -k - 1. Let x be g(-2). Let p be o(x). Give b(p).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 67\/2695 and 1\/14014?\nAnswer: 70070","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(28)\/(sqrt(4)*2) - sqrt(56)\/sqrt(2).\nAnswer: -3*sqrt(7)\/2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let u(q) = -79*q - 227. Suppose -3*p = -k + 49, -5*k + 245 = -0*p + 4*p. What is the lowest common multiple of u(-3) and k?\nAnswer: 490","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 4868 - 4870. Put v, 4, -225 in descending order.\nAnswer: 4, v, -225","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -19604*g**5 + 3*g**3 + 9315*g**2 - g.\nAnswer: -1176240*g**2 + 18","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -18 + 12 + -19 - -1.\nAnswer: -24","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let b(g) = 14*g**2 - 3*g + 7. Let f(s) = -6*s**2 + 2*s - 3. Determine 4*b(z) + 9*f(z).\nAnswer: 2*z**2 + 6*z + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let z(h) = -h**2 + h - 9. Let l(y) = 3*y**2 + 5*y + 18. Let s(o) = -l(o) - 4*z(o). Suppose -11 - 5 = -d. Does 20 divide s(d)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(d) = -8*d**2 + 6*d - 7. Suppose -3*y - y + 6 = -3*v, 0 = -5*y + 15. Let r(g) = -9*g**v - 1 + 13*g**2 + g - 5*g**2. Determine -6*r(u) + t(u).\nAnswer: -2*u**2 - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-25 - 35 + 62)*(2*j - 2*j + 2*j**3).\nAnswer: 4*j**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 25 + 31 = 7*y. Suppose -3*l = -y*l. Calculate the remainder when 134 + l + 0\/(-4) is divided by 34.\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 3650290, 7300571, 10950852?\nAnswer: 14601133","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*m + 12 = -2*m. Suppose -710 = 4*p - 718. What is the second biggest value in p, m, -5?\nAnswer: m","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 358, 525, 978, 1861, 3318, 5493, 8530?\nAnswer: 12573","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (-19215)\/(-28) + -2 + 14\/8. Let y = -267 + s. What are the prime factors of y?\nAnswer: 419","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -3 + 0. Let y = 1433 - 1438. Sort n, y, 3 in decreasing order.\nAnswer: 3, n, y","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 41\/23490 and -127\/1378080.\nAnswer: 4134240","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in 0.4, 0.3, -267?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 29*f - 1303 = 3772. Is 175 at least as big as f?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i be 2*(-5)\/((-15)\/9). What are the prime factors of 24*((-8)\/(-4))\/i?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 79752161 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 125\/48 and -43\/64.\nAnswer: 192","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*k + k - 5*d + 242, -2*k = -3*d - 174. List the prime factors of k.\nAnswer: 2, 3, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -a + 4 = 4*q, -4*a + 5*a + 14 = 2*q. Let d(p) = p**2 - 7*p - 6. Let f be d(-3). Let c = f - a. List the prime factors of c.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(n) = -n**3 + 8*n**2 - 8*n + 9. Let b be s(7). Suppose -b*j - 4*x = -0*j - 16, -9 = 3*x. Calculate the lowest common multiple of j and 14.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 0 - -9. Suppose -2*a - z*a + 704 = 0. What is the units digit of a?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of 3506, 7207, 10908, 14609, 18310?\n\"Answer: 3701*n - 195","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: 933 divided by 311\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -102.2 + 102. Let j = -1.063 - 0.037. Let t = j + 4.1. Which is the closest to -2? (a) g (b) t (c) 4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.411 times 0.4?\nAnswer: -0.1644","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 7615153 is divided by 3686.\nAnswer: 3563","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 114 divided by 1.\nAnswer: 114","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 4 - 4 + 15*f.\nAnswer: 15*f","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.00001698 rounded to 6 decimal places?\nAnswer: -0.000017","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Expand -1 + 1 - s**2 + (s + 3*s - 2*s)*(s + 1 - 1) + (168 - 168 - 59*s)*(2 + 2 - 2)*(s - 2*s + 2*s).\nAnswer: -117*s**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let x(l) = l + 4. Let r be x(-5). Let c(y) be the second derivative of -y**5\/20 + y**3\/3 + y**2\/2 - 7*y. Determine c(r).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {m: 4, o: 4, e: 1, b: 2}. What is prob of picking 1 e, 1 b, and 2 o?\nAnswer: 2\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth biggest value in -2, -0.1, -161156\/7, -3, 0.035?\nAnswer: -161156\/7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let d(c) = c**2 + 2*c + 2. Let v be d(-3). Let w = -6 - -9. Factor -1\/4*u**v + 1\/4*u**2 + 3\/4*u**4 + 0*u + 0 - 3\/4*u**w.\nAnswer: -u**2*(u - 1)**3\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 152909 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 1319?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -6 or -2?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of 167, 184, -211, -1282, -3293, -6508?\n\"Answer: -44*q**3 + 58*q**2 + 151*q + 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -7*i**3 + 38 + 5*i**3 + i + 0*i + 8*i**2 - 42 - i**2 to the form m*i**3 + c*i + a + s*i**2 and give c.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 32\/(-84)*(-8)\/(160\/15).\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let l(t) = 9 + 3*t**2 - t**3 - 2*t + 6*t - 6. Let v be l(4). What are the prime factors of (6\/(-12))\/(v\/(-24))?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-6)\/2*5\/(-165)*58\/522\nAnswer: 1\/99","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*o = -i - 10, 0 = o - 0*o - 4*i - 2. Suppose -5*y = -5, n + n - 10 = -o*y. Suppose 2*g = -g + n*k + 99, 5*k = 0. Is g a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 19*f**2 - 2*f**2 - 2*f**2 - f**2.\nAnswer: 14*f**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*p - 25 - 11 = 0. Suppose p*g - 13*g = -12. Solve -2*n + 9 = j, g*n - 3*j + 6*j - 18 = 0 for n.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((w\/w**(-18)*w*w\/w**(-13))**(-37))**(-2\/35) assuming w is positive.\nAnswer: w**(2516\/35)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {f: 1, s: 2, t: 4, j: 1, i: 1}. Give prob of picking 1 j, 2 s, and 1 f.\nAnswer: 1\/126","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let o(v) = -3*v**3 - 15*v**2 - 6*v + 13. Let p(k) = 5*k**3 + 30*k**2 + 13*k - 25. Let q(y) = 7*o(y) + 4*p(y). Let c = -139 - -154. Is q(c) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -18*z**3 + 108930*z**2 + 145264*z + 48424.\nAnswer: -2*(z - 6053)*(3*z + 2)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 4 divided by 6813.\nAnswer: 4\/6813","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let p(g) = -16*g + 28. Determine p(1).\nAnswer: 12","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Expand -57*t**2 - t**3 + 57*t**2 + (0 - 2 + 3)*(0*t**3 - 4*t**3 + 3*t**3).\nAnswer: -2*t**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Expand (194 + 68 + 11)*((-b + 3*b + 0*b)*(-1 + 3 + 0) + 1 - 1 - 2*b + (1 + 0 - 3)*(1 - 2*b - 1) - b + 2 - 2 - 2*b + b + 3*b + 2*b - 2*b + b).\nAnswer: 2184*b","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5 = 3*c - 5*u, -4*c - 4*u + 5 = 1. Solve c = -141*b + 137*b + 20 for b.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {y: 7, e: 3, d: 6, h: 1}. What is prob of sequence yyy?\nAnswer: 7\/136","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(66)\/(-6*sqrt(12)\/sqrt(2)).\nAnswer: -sqrt(11)\/6","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 818171969.\nAnswer: 107, 193, 39619","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let r(l) = -187*l - 32. Let h be r(-2). What is the greatest common divisor of 36 and h?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 47 + -6. Let i = -257 + v. Let m = i - -458. What is the hundreds digit of m?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -18595 + 63069 = -601*j for j.\nAnswer: -74","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 z and 1 i when three letters picked without replacement from ppiizppudpquz.\nAnswer: 1\/143","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 547 minutes before 1:24 AM?\nAnswer: 4:17 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in -2\/7, -0.09, 42?\nAnswer: 42","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -2127 divided by 6.\nAnswer: -709\/2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -1 - 1. Let g = -4 - -9. Suppose -5*i - 2*n - 3889 = -3898, 2*i + 9 = n. Which is the closest to i? (a) g (b) m (c) 2\/3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*n = -0*h - 3*h + 16, -2*h = 3*n + 2 for n.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:40 AM and 12:30 PM?\nAnswer: 710","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose d + 54 = -2*z + 3*d, -2*z + d = 50. Let y = z - -53. Suppose 2*h + 5*a = -1, -26 - 39 = -5*h + a. What is the highest common divisor of y and h?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is -10 + 5275?\nAnswer: 5265","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 28 and 322?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Express (1431 + 295*x - 1431)*(-37*x**3 - 12*x**3 + 8*x**3) as h*x**3 + u*x + d*x**2 + w + r*x**4 and give r.\nAnswer: -12095","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 33? (a) 0.1 (b) -207 (c) 5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 3747 - -88734.\nAnswer: 92481","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Divide 187567 by -3539.\nAnswer: -53","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is -2047.40441735 - 1.3?\nAnswer: -2048.70441735","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of -66901, -131613, -196319, -261019, -325713, -390401, -455083?\n\"Answer: 3*t**2 - 64721*t - 2183","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in -5\/16, 1380, 0.2, -2, 3?\nAnswer: -5\/16","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let f(z) = 22*z + 273. Does 6 divide f(-12)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(t) = -t + 1. Let p be (-70)\/8 - 2\/8. Is w(p) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 2469 is divided by 348.\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let l(i) = -i**3 - 6*i**2 + 13*i + 26. Is l(-12) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(m) = -5*m. Let x(i) = 80*i**2 + 12*i. Let q(u) = 32*u**2 + 5*u. Let d(h) = -12*q(h) + 5*x(h). Give d(n(k)).\nAnswer: 400*k**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let y(b) be the second derivative of -121*b**2 + 0*b**4 - 258*b + 19\/20*b**5 + 0 + 0*b**3 - 1\/15*b**6. Find the first derivative of y(z) wrt z.\nAnswer: -8*z**3 + 57*z**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -284*d - 86*d - 80*d + 2 to the form j + q*d and give q.\nAnswer: -450","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 101 - 47. Suppose 10 = -m + f - 45, m - 2*f = -j. Let k = -33 - m. Is k a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 711617 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*t - 2*a = -0*t + 2, -5*t - 4*a = 1. Let y = 18 - t. Suppose -y*b = -16*b - 111. List the prime factors of b.\nAnswer: 37","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:46 AM and 3:46 PM?\nAnswer: 240","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is 63 a factor of 1252553?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let w(r) = -7094*r - 468203. What is w(-66)?\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 631 - 619. Solve 9*i = 5*i - d for i.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (5 + -5*(-1 + sqrt(200) + sqrt(200)) + -1 + 3)**2.\nAnswer: -2400*sqrt(2) + 20144","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve -14*x + 46 + 38 = 0 for x.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let x(q) = -5 + 5 - 3*q**2 + 4 + q**3. Suppose -6*o + 2*o + 12 = 3*s, -4*s = 3*o - 9. What is the units digit of x(o)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(l) = -4*l**2 + 6. Let v(j) = -3*j**2 + 5. Determine 5*i(n) - 6*v(n).\nAnswer: -2*n**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 16 - 615. Let c = -579.74 - w. Round c to 0 decimal places.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(l) = l + 1. Let n(o) = -7*o**3 + 3*o + 2. Let g be n(-1). Let h = 13 - g. Give c(h).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is 250577176 - 1?\nAnswer: 250577175","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -157.252 + 157. Let g = j + 175.252. Which is the second biggest value? (a) -0.3 (b) -1 (c) g\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 7748.15 hours in milliseconds?\nAnswer: 27893340000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in -177, -0.7, -4570?\nAnswer: -4570","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is 15941567 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let y(d) = -d - 81. Let l(i) = 2*i + 122. Determine 5*l(x) + 8*y(x).\nAnswer: 2*x - 38","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let w(a) = 418*a - 235224. Let h(g) = 2*g - 1188. Let l(q) = -396*h(q) + 2*w(q). Let z(n) = -7*n. Let d(c) = -8*c. Let r(s) = 4*d(s) - 3*z(s). Give r(l(x)).\nAnswer: -484*x","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*f - 1359 = 3*c, c = -f + 4*c + 675. What is the units digit of f?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -89\/18 and -191\/8970.\nAnswer: 26910","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is -27 + (9 + -7 - -12)?\nAnswer: -13","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -11*m*z**3 + 190*m*z**2 - 8192*m*z - 3*z**3 + 828*z**2 + z + 24 with respect to m.\nAnswer: -11*z**3 + 190*z**2 - 8192*z","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from uuuueueeuuuu. Give prob of picking 2 u and 1 e.\nAnswer: 27\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is 64421 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of (-3 + 9)*34\/4.\nAnswer: 3, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*d = 2*d - 1536. Let m be (d\/(-99))\/(-4) + -2. Which is smaller: m or 1?\nAnswer: m","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: -39.76*-0.3\nAnswer: 11.928","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is (19 - -10) + -19 + -24?\nAnswer: -14","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 1553*t**3*x**3 - t**3 - 18*t**2*x + 17*t*x + 7*x**3 - x**2 wrt x.\nAnswer: 9318*t**3 + 42","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 7048?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*g - n - 214 = -2*g, -22 = -g - 5*n. Let z be 22\/3*g\/28. Is 5 a factor of (-26)\/143 - (-134)\/z?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 12.95655l?\nAnswer: 12956.55","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 16 or 23?\nAnswer: 16","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -17941 + 38223. Is 16 a factor of w?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.065 times 0.01?\nAnswer: -0.00065","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 5*g**3 + 0*g**3 - 15*g**3 - 9*g**3 - 10*g**3.\nAnswer: -29*g**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 50*k**3*q + 128925*k**3 + 35963*k**2*q - 25 wrt q?\nAnswer: 50*k**3 + 35963*k**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let a(d) = -30*d + 15*d + 16*d. Let c(p) be the third derivative of -p**7\/1260 + p**4\/24 - p**2. Let t(g) be the second derivative of c(g). Calculate a(t(k)).\nAnswer: -2*k**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is 1\/4 < -19003731?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*l = 9*l for l.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -67*-29.\nAnswer: 1943","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -81\/5888 and 17\/14398000.\nAnswer: 230368000","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let g(p) = 3*p - 17. What is g(12)?\nAnswer: 19","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -3 divided by 17308.\nAnswer: -3\/17308","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 14*d - 2*d = 0. Solve -2*n + 6 = -d*n - 4*x, -3*n - 5*x - 24 = 0 for n.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 1108677 and 33330?\nAnswer: 303","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: How many micrometers are there in 38.8464 millimeters?\nAnswer: 38846.4","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let p(v) = 3*v. Let l be p(1). Let o = l + 4. Let s = o - 4. What are the prime factors of s?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 807 is divided by 133.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 8 - 12*j**3 - 664897*j + 6 + 1329792*j - 14 - 664895*j.\nAnswer: -12*j**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Convert 298.7164ug to tonnes.\nAnswer: 0.0000000002987164","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let c(a) = -18*a + 15. Suppose -20 + 0 = 4*i. Is 15 a factor of c(i)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -0.9 - 0.1. Let x = 7.5 + 38. Let f = x - 45. Which is the second smallest value? (a) f (b) 2\/11 (c) r\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 9477?\nAnswer: 3, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 9790\/(-445) - 1036\/(-47).\nAnswer: 2\/47","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -9 + 13. Suppose 0*u + 44 = s*u. Calculate the common denominator of (-1)\/(-3)*3\/u and 23\/4.\nAnswer: 44","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(p) be the second derivative of p**7\/3360 + p**6\/480 - p**4\/24 + 5*p**3\/3 + 10*p. Let z(w) be the second derivative of c(w). Factor z(v).\nAnswer: (v - 1)*(v + 2)**2\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 533 a multiple of 41?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 2.828 + -438.628. Let b = 436 + o. Is 2\/5 <= b?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of -915, -927, -955, -1005, -1083, -1195, -1347?\n\"Answer: -s**3 - 2*s**2 + s - 913","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let m(q) be the third derivative of q**5\/60 + q**4\/24 + 2*q**2. Let a be m(-1). Suppose w + 4*w - 30 = a. Is 6 greater than or equal to w?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -26*d - 215 - 127 = 31*d for d.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -4667431\/96 + 48620. Find the common denominator of q and -87\/880.\nAnswer: 5280","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (0 - -3) + -10 - (-1 - 12).\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let z(y) = y**2 - 2*y - 3. Determine z(4).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let d(m) = m**2 + 57*m + 278. Let x be d(-52). Suppose -2*r - 352 = -x*r. Calculate the least common multiple of 274 and r.\nAnswer: 3014","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(f) = -f**3 + f**2 + 7*f + 22. Let v be y(-2). Solve -15*x = -35*x - v for x.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in 0.7, 3, 132\/193, 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 3 i when three letters picked without replacement from {i: 6}?\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose m + 2*d = 320, -6*m + 4*d + 1670 = -m. Let i = m - 330. Factor -44\/5*q**2 + 16\/5*q + i + 2*q**3.\nAnswer: 2*q*(q - 4)*(5*q - 2)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -14*a*l + 949017*a - l - 1347321 wrt a?\nAnswer: -14*l + 949017","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let j(y) = 8*y**2. Let r = -1817 + 1821. Let h(g) be the second derivative of -1\/12*g**r + 0*g**3 + 8*g + 0 + 0*g**2. Give h(j(t)).\nAnswer: -64*t**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Sort -4, 5, 0.2522, 78 in descending order.\nAnswer: 78, 5, 0.2522, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let a(o) be the first derivative of 5*o**3\/3 - 389*o + 3828. Let w(v) = 3*v. Give a(w(k)).\nAnswer: 45*k**2 - 389","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 170 and 3?\nAnswer: 510","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 1191, 1198, 1209, 1224?\nAnswer: 1243","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 11984315*f - 184524.\nAnswer: 11984315","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 a and 1 l when two letters picked without replacement from {b: 2, l: 1, o: 2, c: 1, g: 2, a: 1}.\nAnswer: 1\/36","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is -1 + (0 - 0 - (-47 - -43))?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -2 + 0 - (-66 + 75 - (16 - 1)).\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*i - i - 2. Let s be 1\/5*(-90)\/(-27). What is the second biggest value in i, 0, s?\nAnswer: s","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*w = -5*f + 18, -4*w + 24 - 5 = 5*f. Let y be 3\/(-18) - (w - 1). Which is the smallest value? (a) y (b) 1\/2 (c) 0.3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 17\/99340 and -53\/40.\nAnswer: 198680","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:19 AM and 8:05 AM?\nAnswer: 286","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 3.66392 rounded to 1 dp?\nAnswer: 3.7","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 14 + -28. Let f = -9 - y. What is the remainder when (f\/(-3))\/((-3)\/9) is divided by 4?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*b - u + 52 = 0, -48 = 8*b - 10*b - 4*u. Calculate the highest common divisor of 152 and b.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (c**(3\/2)*(c\/(c*c**(-11)))\/c)\/((c\/(c*c*c**0)*c)\/((c*c*c**(-3\/2))\/c)) assuming c is positive.\nAnswer: c**11","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is -92661.764835 take away -2?\nAnswer: -92659.764835","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Expand k**2 - k**2 - 2*k**2 + (-4 + 2*k + 4)*(0*k + 2*k + 0*k).\nAnswer: 2*k**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 67155 and 54945?\nAnswer: 604395","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let g(h) = -5*h + 2. Let v be 15 + (3 + 0)*-1. Let l be g(v). Let d = l + 93. Is d a multiple of 14?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 4 c when four letters picked without replacement from ccbccbbcbccbcc.\nAnswer: 18\/143","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 14585.\nAnswer: 5, 2917","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((r**(-6\/5)\/(r*r**(-5\/3)))**(1\/44))**(2\/31) assuming r is positive.\nAnswer: r**(-4\/5115)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let x(s) = s**2 - 23. Let u be x(0). Put -3, -4, u in decreasing order.\nAnswer: -3, -4, u","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 24*y + 19*y = 44*y. Let w(x) = x**2 + 3*x + 59. What is the remainder when w(y) is divided by 15?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 8 = -4*p + 4*c, -5*p + 44*c = 49*c - 20 for p.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -24*o = -37*o + 858. Is o a multiple of 15?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -4040a (base 13) to base 3.\nAnswer: -12211122200","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: -778174*-0.3\nAnswer: 233452.2","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 330450132?\nAnswer: 2, 3, 27537511","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of 37, 63, 127, 235, 393, 607?\n\"Answer: a**3 + 13*a**2 - 20*a + 43","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0*h**3 + h**3 - 4*h**3)*(-1152 + 513 - 400 - 510).\nAnswer: 4647*h**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 3875070 to the power of 1\/5, to the nearest integer?\nAnswer: 21","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is -9152.0901 rounded to the nearest one hundred?\nAnswer: -9200","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 2 + -13 + 377\/39?\nAnswer: -4\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -3.47 + 2.47. Let s = -209\/276 + 1\/138. Put s, y, -2\/15 in increasing order.\nAnswer: y, s, -2\/15","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 392510, 784952, 1177382, 1569800, 1962206, 2354600, 2746982?\nAnswer: 3139352","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: How many milligrams are there in fourty-four fifths of a gram?\nAnswer: 8800","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 34892 - 34262. What is the least common multiple of 70 and j?\nAnswer: 630","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(u) = u**3 + 39*u**2 + 39*u + 38. Let g be n(-38). Suppose 2*y = 4*t + 3*y + 52, 2*t - 5*y = -48. Which is the third smallest value? (a) g (b) t (c) 4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -5 - -3 - -7 - 0.\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 1961405 divided by 392281?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is 9327 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is 372 - -2?\nAnswer: 374","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Does 19 divide 117211?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve 542 - 583 = 127*x - 1057 for x.\nAnswer: 8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1811476.\nAnswer: 2, 452869","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let p be 2 + (-20)\/12 - 78\/(-9). Let n be (-1)\/(21\/p + -2). Sort -5, n, 6 in decreasing order.\nAnswer: 6, n, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0, 12, 2200.\nAnswer: 0, 12, 2200","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let d(h) = h**2 + 2*h**2 + 4*h**2 - 2*h**2. Let w(p) be the first derivative of -3*p**2\/2 - 69. What is d(w(z))?\nAnswer: 45*z**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 85003.\nAnswer: 167, 509","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 75 and 825?\nAnswer: 75","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 418 minutes after 3:37 AM?\nAnswer: 10:35 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve -61*h = 57*h - 708 for h.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 g, 1 n, and 1 c when three letters picked without replacement from ngjnnggggcnn?\nAnswer: 5\/44","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let y be ((-9)\/((-18)\/8))\/(-1). Let z(g) be the third derivative of -g**6\/120 - g**5\/15 + g**4\/24 - g**3\/6 - 14*g**2 + g. Determine z(y).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -1536 = -13*o - 3*o. Suppose -4*j + o = 100. Let c(d) = -4*d**3 + d. Determine c(j).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -5\/2302 - -152267\/154234. Do 2 and n have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-74 - 44*z + 74)*((0*z**3 - 3*z**3 + z**3)*(-3*z + 4*z - 2*z) - 9*z**3 - z**4 + 9*z**3).\nAnswer: -44*z**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -7? (a) -2530 (b) -2 (c) -1966\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 1118.1 - 1116.8387. What is a rounded to 1 decimal place?\nAnswer: 1.3","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:34 AM and 9:58 AM?\nAnswer: 504","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 27 and 306?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Does 229 divide 682878?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (i**(-14\/9)*i)\/(i\/i**(4\/7)) assuming i is positive.\nAnswer: i**(-62\/63)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let d(x) = -5*x**3 - 100*x**2 - 243*x - 1134. Determine d(-18).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 47 + 9 = -14*c for c.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Convert 16000.704 minutes to days.\nAnswer: 11.1116","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 6*u**3 + 4*u**3 - 406*u + 406*u.\nAnswer: 10*u**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 299 - 443. Suppose 2*x + 189 = -5*c, -309 = 2*x + x - c. Let q = x - w. What is the remainder when q is divided by 15?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -3*j**2 + 8*j - 2*j**2 - 10*j - 13 + 0*j**2 wrt j?\nAnswer: -10","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is 100254 + 211?\nAnswer: 100505","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 24 - 14. Let j(k) = 55*k + 3. Is j(s) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (206 - 8) + (0 - 4). Let v = a - 68. What is the remainder when v is divided by 20?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -5 and -38504337.\nAnswer: 192521685","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((u*u**2)**4*(u**1)**(2\/23))**(1\/47) assuming u is positive.\nAnswer: u**(278\/1081)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose g + 4*x = 13, 3*x - 32 = -3*g - 2*x. Let v(k) = k**3 - 8*k**2 - 7*k - 10. Let d be v(g). What is the lowest common multiple of d*-1*(-3)\/3 and 10?\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 7e2900 (base 16) to base 5.\nAnswer: 4104034112","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 0*v**3 + 2*v - 4*v - 9*v**2 + 3*v**3 + 10*v**2 to a + k*v + q*v**2 + m*v**3 and give k.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let g(p) = -p**2 - 5*p + 11. Let a be g(-6). Suppose -4*n + 224 = -3*l + 28, -a*n = -4*l - 246. Suppose 194 = 6*q - n. Is 10 a factor of q?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find f, given that 87*f**2 - 170964*f + 17685 = 0.\nAnswer: 3\/29, 1965","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify u\/(u*(u**(1\/2)*u)\/u)*u**19*(u*u*(u\/u**(-25)*u*u)\/u)\/u**(-29) assuming u is positive.\nAnswer: u**(153\/2)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*y = -3*n + 41, 3*y + 84 = 4*n + y. Calculate the smallest common multiple of n and 6.\nAnswer: 114","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 4159152 and 37944.\nAnswer: 1224","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*j + m = 13, -47*j + 50*j = m + 7 for j.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 2801?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let r(g) = 14*g**2 + 7*g + 6. Determine r(-1).\nAnswer: 13","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-44 + 44 - 7*c)*((c + 2*c - c)*(-1 + 6 - 3) + (-1 - 2 + 2)*(0*c - 2*c + 4*c)) to the form x*c**2 + p*c + t and give x.\nAnswer: -14","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Sort -5, 5, 1 in descending order.\nAnswer: 5, 1, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 1739556?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 455398580.\nAnswer: 2, 5, 7, 13, 59, 4241","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve 7 - 21 = p - 2*b, -3*b + 303 = 32*p + 416 for p.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 4437838 to the nearest integer?\nAnswer: 2107","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (f**18\/f)\/(f\/f**8) assuming f is positive.\nAnswer: f**24","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from ejejjjejlobeeeele. Give prob of picking 1 l and 1 e.\nAnswer: 2\/17","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: 0.146 - 25489\nAnswer: -25488.854","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 1107\/8 - 138. Let z = -51 + 40. Let b = 14 + z. What is the third biggest value in -11, s, b?\nAnswer: -11","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(r) = r**2 - 38*r + 84. Let g be i(39). What is the highest common divisor of 82 and g?\nAnswer: 41","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 68 - -30. Is 28 a factor of v?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -14 = 5*k + 16. Let o(h) = h + 12. Let m be o(k). Let j(f) = f**3 - 7*f**2 + 7*f. List the prime factors of j(m).\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (-6)\/18 - 2848\/(-3). Let l = -568 + o. Is l prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 16394 and 107618?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Put -2, -276, -1 in decreasing order.\nAnswer: -1, -2, -276","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence qq when two letters picked without replacement from qqqqqqq.\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 2\/5? (a) 0.97 (b) 738 (c) 4 (d) 586\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Express 13*g - 76*g + 42 - 42 in the form v + j*g and give j.\nAnswer: -63","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -45 + 50. Solve z*h = 14 - 34 for h.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (0\/5)\/((-5 + 4)*-1). Suppose v - 3 = q, w + 4*v - v = 12. Solve -3*f + 6*f + 9 = w*g, -9 = 2*g + 3*f for g.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(z) = z**3 + z + 1. Let r be i(-1). Let f be (-1)\/(-6)*7*(-2)\/(-266). Which is smaller: r or f?\nAnswer: r","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i be -3*1\/(-4)*4. Suppose -h + 25 = 4*z, 5*z + 5 = 4*h + 31. What is the highest common factor of i and z?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 36 = -2*d + 8*d. Let q(t) = t**2 + 2*t + 10. What is the smallest common multiple of 14 and q(d)?\nAnswer: 406","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2528*u - 134 + 134 - 3006*u - 30028*u)*(u + 0*u + u).\nAnswer: -71124*u**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4796 = 1627*p - 1518*p for p.\nAnswer: -44","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {a: 8, z: 2, y: 1, l: 1, d: 1, g: 1}. What is prob of picking 1 g and 2 z?\nAnswer: 1\/364","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 102.\nAnswer: 2, 3, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let c(o) = -o**2 - 2*o - 13. Let r be c(0). Let w = 13 + r. Solve w*n - 5 = 5*n for n.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 2 + 2. Suppose -i - 18 = -w*c + 2, -5*i - 8 = 3*c. Solve 0 = -l - 3*l - c for l.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -25 + 465 = -11*r. Let m be -5 - -4 - 44\/r. What is the nearest to -2 in m, 0, -0.3?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (1 + (-309)\/21)\/((-1804)\/(-6314)).\nAnswer: -48","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2 - 2 + y + (-5 + 2 - 2)*(-1 + 1 + 3*y))*(0*y**3 + 0*y**3 - y**3).\nAnswer: 14*y**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 x when two letters picked without replacement from xexxeex?\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -20 - -36. Suppose -4*m = -m, -t = -4*j - 5*m. Suppose 3*g = l + 2*g - 3, j*l - 3 = -5*g. Solve -x = q + l, 5*q = 4*x + 26 - 0 for x.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Subtract 159598.347907 from 38.\nAnswer: -159560.347907","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: -72 divided by 36\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve -6 = -4*m + o, -2*m + 4557*o - 4553*o + 10 = 0 for m.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 0 + ((sqrt(224)*-2*3)\/sqrt(8))\/(sqrt(24)\/(sqrt(6) - sqrt(12)\/sqrt(2)*-6 - sqrt(6))).\nAnswer: -36*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence eeie when four letters picked without replacement from eeeeeeeeeeieeeieei?\nAnswer: 91\/816","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 210664, 210528, 210404, 210298, 210216?\nAnswer: 210164","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 8711444549 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 99 and 242.\nAnswer: 2178","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Put 3158, 0, 0.5, 1\/3, -0.1, 1\/12 in decreasing order.\nAnswer: 3158, 0.5, 1\/3, 1\/12, 0, -0.1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence zz when two letters picked without replacement from {z: 3, y: 1}.\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is -5703 - 4?\nAnswer: -5707","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is 200136 less than 1101?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve -d - 409 = -j - 400, 3*d - 3 = -2*j for d.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 8 - 8.04. Let u = -1.04 - g. Suppose -3*y - 36 = -5*y. Which is smaller: u or y?\nAnswer: u","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -6*f - 17 - 13. Let g(a) = -a**2 - 6*a. Let h be g(f). Let i = -2 - -3. Which is smaller: h or i?\nAnswer: i","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -1*sqrt(612) + 2 + 6*(sqrt(612) + 3)**2.\nAnswer: 210*sqrt(17) + 3728","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let n(p) = p**4 + 15*p**2 + 195*p - 19. Let r(q) = 2*q**4 + 32*q**2 + 389*q - 34. Let v(z) = 11*n(z) - 6*r(z). Find the second derivative of v(j) wrt j.\nAnswer: -12*j**2 - 54","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3 - 2 + 3)*(-3*q + 0*q + q)*((-2*q + 0 + 0)*(-2*q - 3*q + 4*q) - 12*q + 12*q + 14*q**2 + 0*q + 0*q + q**2).\nAnswer: 68*q**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve 76 = -54*w + 73*w for w.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3 + w - 3)*(-4 - 3 + 3)*(-4*w**2 + 4*w**2 + 2*w**4).\nAnswer: -8*w**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 867948733 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 5*u + 5*l, 0 = -u + 2*l + 11 + 4. Suppose 0 = u*b - 18 + 8. Calculate the greatest common factor of 8 and b.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -11*v = -19*v + 7*v. Suppose -4*g - 2 + 0 = -5*c, c - 3*g + 4 = 0. Let n = -2 + c. Solve v*h + h + 4 = n for h.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 1.1 + 1.1. Let u = 2 - y. Let k = u + 0.2. Which is the nearest to k? (a) 0.1 (b) 2 (c) -4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 3406.048 litres in millilitres?\nAnswer: 3406048","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 33*g = 31*g + 16. Suppose -g*a + 2550000 = -7*a. Suppose -3*v = -8*v + a. What is v rounded to the nearest 100000?\nAnswer: 500000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in 1, -1, 0.2, 0.033?\nAnswer: 0.033","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1177 is divided by 336?\nAnswer: 169","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((z\/(z**(-4\/7)*z))**(-43)\/((z\/(z*z**(-1)*z))\/(z**(-1\/15)\/z*z)))**7)**(-9\/10) assuming z is positive.\nAnswer: z**(7761\/50)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Put -3, 10, 0.07, -2\/7 in increasing order.\nAnswer: -3, -2\/7, 0.07, 10","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let q(y) be the second derivative of 16*y + y**2 + 0 - 41\/6*y**3. Let n(i) = -2*i. Give q(n(j)).\nAnswer: 82*j + 2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 22*l - 16*l - 486. Let j = l + -70. Calculate the remainder when j is divided by 1.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 933.0107ml in litres?\nAnswer: 0.9330107","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Do -290\/189 and -277 have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Express -74*t**3 + t + t + 73*t**3 + 3 + t**2 in the form a*t**3 + z*t**2 + i*t + c and give a.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 113570?\nAnswer: 2, 5, 41, 277","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -0.22 + 0.08. Let b = 5.884 + -5.7. Let k = b + r. Round k to two dps.\nAnswer: 0.04","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -643*y + 636*y = -4396. Which is smaller: y or 627?\nAnswer: 627","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 11\/8 of a meter in millimeters?\nAnswer: 1375","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.00034379 rounded to 4 decimal places?\nAnswer: -0.0003","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 30511 and 58846331.\nAnswer: 2347","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 15 and 3652680?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Put -5, 2, 5, 0 in decreasing order.\nAnswer: 5, 2, 0, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Factor -a**3 + 13213*a**2 - 43639235*a - 43652449.\nAnswer: -(a - 6607)**2*(a + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let r(j) be the third derivative of -j**7\/1365 + j**6\/468 - j**5\/780 - 4*j**3 - 22*j**2. Let y(m) be the first derivative of r(m). Determine t so that y(t) = 0.\nAnswer: 0, 1\/4, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -0.1494 bigger than -315?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 25.00000136 + -25. What is p rounded to seven decimal places?\nAnswer: 0.0000014","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -143 - 15*b + 143 + (3 - 4 - 1)*(2*b + 0 + 0) + 2 - 2*b - 2 + 0*b + 2*b - 3*b + 0*b + 2*b - 3*b.\nAnswer: -23*b","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between -0.211 and 4?\nAnswer: 4.211","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: (13 - 8 - 0) + 7 - -11\nAnswer: 23","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 s and 1 w when two letters picked without replacement from fispfssfgwi?\nAnswer: 3\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: 4 (base 9) to base 16\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let n(k) be the third derivative of -65*k**4\/12 + 55*k**3\/6 - 38*k**2. Let r(y) = y. Let h(p) = -n(p) - 5*r(p). Is h(10) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 11*g - 12*g - 4*n + 14, g - 10 = -3*n. Which is the third smallest value? (a) 13 (b) -0.01 (c) g (d) -0.5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(a) = -a**3 + 10*a**2 + a + 3. Let i be q(10). Let h(m) = -m + 28. Let d be h(i). Let b(t) = t**3 - 15*t**2 + t + 13. List the prime factors of b(d).\nAnswer: 2, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 4? (a) 5 (b) 1\/2 (c) -0.88\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -19*y + 23*y + 8. What is the closest to -15\/8 in 0.5, 0.3, y?\nAnswer: y","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(v) = -4*v**2 - 796*v. Let g(n) = -1174*n. Determine w(g(i)).\nAnswer: -5513104*i**2 + 934504*i","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of -262, -517, -772?\n\"Answer: -255*g - 7","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let u(j) be the second derivative of j**7\/105 + j**6\/25 + 3*j**5\/50 + j**4\/30 - 6*j. Factor u(d).\nAnswer: 2*d**2*(d + 1)**3\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(g) be the first derivative of g**4\/4 - 7*g**3\/3 + g**2 + 2*g - 3. List the prime factors of s(7).\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -2\/7 in -1663, 0, -13\/14, 0.4?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let q(a) = -37*a - 1. Let h(j) = -486*j + 21. Determine 3*h(d) - 39*q(d).\nAnswer: -15*d + 102","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 35688 and 20?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: -0.5 * 2.5116\nAnswer: -1.2558","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 4834*11.\nAnswer: 53174","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let k(n) = -2*n**2 - 52*n - 21. Let i be k(-24). What is the derivative of -i*v**2 - 37*v**2 - 57 - 8 + 16 wrt v?\nAnswer: -224*v","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 2.1 + -2.099938. Round z to five dps.\nAnswer: 0.00006","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 31 and 4154?\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Convert -6 (base 14) to base 11.\nAnswer: -6","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Sort -15, 1, -3, 6, 22, 9, 3 in ascending order.\nAnswer: -15, -3, 1, 3, 6, 9, 22","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let f(j) be the first derivative of 13*j**3\/3 - 165. Let g(o) = 3*o**2. What is g(f(r))?\nAnswer: 507*r**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: How many nanometers are there in five quarters of a micrometer?\nAnswer: 1250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (m\/(((m*m*m*m\/m**2*m*m*m*m)\/m)\/m))**(4\/7)*(m*(m*m**(-2\/5)\/m)\/m)**(-33)*(m\/(m**(-1)\/m*m*m))**43*m**2*m\/m**(-1\/2) assuming m is positive.\nAnswer: m**(4059\/70)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence iy when two letters picked without replacement from {f: 2, x: 1, a: 4, y: 1, m: 4, i: 2}?\nAnswer: 1\/91","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 16\/8*((-4)\/3)\/4?\nAnswer: -2\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (8\/3)\/((-1)\/3). Let a = 16 + f. Calculate the greatest common divisor of 24 and a.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j be 0 - (-2 + -2 - 0). Let o be (-3)\/7 + (-495)\/315. Let g(v) = -14*v - 32. Let r be g(o). Put -5, 2, r, j in descending order.\nAnswer: j, 2, r, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 224*d**2\/3 - 439*d\/3 - 3608.\nAnswer: (d - 8)*(224*d + 1353)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((((d*d**(1\/9))\/d*d)\/d)\/d*d*d)**(-21) assuming d is positive.\nAnswer: d**(-70\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 773\/4566 - 2\/761. What is the smallest value in c, -0.3, -2\/59?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -5*u - 4*j - 0*j + 20, -5*j - 8 = -2*u. Let r(w) = 17*w**2 + 5*w - 47. Let h be r(4). Suppose -241*f + h*f - 12 = 0. Solve -2*y = -f*y - u for y.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -t**5 - 6170*t**4 - 2269873*t**3 - 215448216*t**2 = 0. Calculate t.\nAnswer: -5784, -193, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is 543 - 640?\nAnswer: -ec","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-2 + -1 - -2) + 100 + -47 + -18.\nAnswer: 34","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -263, -2165, -7333, -17399, -33995, -58753, -93305, -139283?\nAnswer: -198319","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ztzt when four letters picked without replacement from {z: 4, t: 7}.\nAnswer: 7\/110","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Expand 7*f**3 - 4*f**3 + 0*f**3 + (-f + f + 2*f**2)*(2*f - 1 + 1) - f**3 + f**3 - 2*f**3 + 4 + f**3 - 4.\nAnswer: 6*f**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let u(m) = -9*m**2. Let d(l) = -4400*l**2. Determine d(u(h)).\nAnswer: -356400*h**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*q = 2*q - 35. Suppose 280010 = 5*d - 5*k + q*k, 0 = -2*d + 4*k + 111980. Round d to the nearest ten thousand.\nAnswer: 60000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -124 + 124 + 40*t to b + q*t and give q.\nAnswer: 40","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (-3912)\/(-10) - ((-5)\/6 - (-549)\/270). Solve 16*j + y - 486 = 0 for j.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(f) = 2*f - 3. Let o be v(0). Let p = -27 + o. Let n = p - -81. Does 17 divide n?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 46.2042091 - 46.2. Round u to five dps.\nAnswer: 0.00421","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 0.6 and 24735?\nAnswer: 14841","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -84 + (-4 + 2 - -2) + 30 + (-28 - -12)?\nAnswer: -70","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (26*n - 265 + 265)*(0*n**3 + 3*n**3 - 4*n**3) + (2*n**3 + n**3 - n**3)*(-n - n + n) to the form y*n**3 + i*n**2 + u*n + f*n**4 + q and give f.\nAnswer: -28","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in -5\/3, 1, -3\/8, -4?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 4519?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 55578 and 262818?\nAnswer: 942","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*m - 304 = -7*y + 2*y, 2*m - 4 = 0. Let n be (-2 - (1 + 0)) + 2. Let d be 5*n*(-36)\/y. Solve -4*r - 16 = -v, -v + 5*r = d*v - 9 for v.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(n) = 4*n - 5. Let p(y) = -3*y + 4. Let i(g) = -5*p(g) - 4*x(g). Let r(m) = 4*m. Let u(f) = -5*i(f) - r(f). Let b(t) = -7*t**2. Give u(b(j)).\nAnswer: -7*j**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (w*w**(-12))**24 assuming w is positive.\nAnswer: w**(-264)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 149233 and 35?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is 1592379743 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) 12 (b) -0.1 (c) -1\/3 (d) 6 (e) -13.6\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Express -789*g**2 + 3589*g**2 + 1138*g**2 + (2 - 2 + 2*g)*(0 - 2*g + 0) + g**2 - 3*g + 3*g + 0*g + 0*g - 2*g**2 as k + p*g + o*g**2 and give o.\nAnswer: 3933","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let w be 40\/50 - (-932)\/10. Suppose w = 3*d - 0*u + 2*u, 0 = 4*d + 4*u - 128. What is the remainder when d is divided by 11?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(l) = l**3 + l**2 - 7*l + 2. Suppose 7 + 2 = x + j, 3*j = -4*x + 31. Calculate the remainder when v(x) is divided by 11.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 3524401?\nAnswer: 41, 67, 1283","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_test"},"subset":"dm_maths"} +{"text":"Question: Let z be ((-4)\/(-2) - 1) + 3. Suppose -2*k - 3 = -4*p + 13, -3*p + 1 = z*k. Is 12 a factor of 107\/p + (-3)\/(-9)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {s: 1, r: 3, y: 1}. Give prob of sequence rsr.\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 23403\/(-6380) + (-201)\/1340?\nAnswer: -42\/11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 39807.\nAnswer: 3, 4423","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 635077 to the power of 1\/2, to the nearest integer?\nAnswer: 797","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is 16728 a factor of 352288497?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -4 - -8. Suppose 4*z - 8 - 12 = 0. Solve c*h + 0 = -5*f - z, 3*h - f - 20 = 0 for h.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of -4439, -4438, -4437, -4436, -4435?\n\"Answer: w - 4440","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*p - 5*t + 8 = -4, 5*p - 6 = -4*t. Let d(x) = 2 + 1 - 4*x - 2. What are the prime factors of d(p)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 45295007 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let d(k) = -k**3 + k**2 - 14. Let x(c) = c**3 + 5*c**2 - 7*c + 17. Let j(y) = 2*d(y) + x(y). Calculate j(7).\nAnswer: -60","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of 16, 45, 74?\n\"Answer: 29*i - 13","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {a: 2, b: 1, u: 5, p: 3, w: 3, k: 1}. Give prob of picking 1 k and 1 a.\nAnswer: 2\/105","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 406 minutes before 12:14 PM?\nAnswer: 5:28 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify k**(1\/18)*k*k**(4\/5) assuming k is positive.\nAnswer: k**(167\/90)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 9213 divided by -3?\nAnswer: -3071","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.17793444 plus 1.049?\nAnswer: 1.22693444","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let n(s) = -16*s - 2. Let h(g) = 11*g + 158. Let f(d) = 8*d + 113. Let u(r) = -7*f(r) + 5*h(r). What is -n(c) + 2*u(c)?\nAnswer: 14*c","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Expand 2*u + u**2 - 2*u**4 + 3*u**4 + 0*u + (1 - 1 - u)*(-u + u - 2*u**3).\nAnswer: 3*u**4 + u**2 + 2*u","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 1 or 1\/83082?\nAnswer: 1\/83082","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Factor 28*w**2 + 1501452*w + 428984.\nAnswer: 4*(w + 53623)*(7*w + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(228)*1*-4)\/(-2*sqrt(300)).\nAnswer: 2*sqrt(19)\/5","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 2413 is divided by 69?\nAnswer: 67","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of -458, -461, -464?\n\"Answer: -3*g - 455","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from xdgixxgdxdix. Give prob of sequence gxgi.\nAnswer: 1\/594","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*g + 11 - 7 = 0. What is the common denominator of 81\/16 and (-149)\/6 - 0\/g?\nAnswer: 48","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(o) = 3*o**2 + 2*o + 3. Let l be y(-1). Suppose l*r = -0*r + 6628. Is r prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence uugu when four letters picked without replacement from {u: 8, g: 4, b: 4}.\nAnswer: 2\/65","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let d(o) = o**3 + 5*o**2 - o. Let x be d(-5). Suppose -4*p - 4*m - 36 = -0*m, x*p + 3*m = -43. Let z be 8\/(-18)*(-12)\/p. Are z and -1 non-equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 12*a + 25 - 25.\nAnswer: 12*a","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 17\/16 - 9\/8. Which is smaller: 1 or s?\nAnswer: s","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is -793 - 7?\nAnswer: -79a","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from lddcdllkdl. What is prob of sequence lk?\nAnswer: 2\/45","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let a(l) = 9*l**2. Let f(h) = -h + 13. Determine a(f(s)).\nAnswer: 9*s**2 - 234*s + 1521","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {y: 3, p: 4, f: 1}. Give prob of picking 2 y, 1 f, and 1 p.\nAnswer: 6\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 128534529?\nAnswer: 3, 593, 72251","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0.4? (a) -11\/6 (b) -0.1 (c) 13\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let z be 15 + -14 + 0 + (-12)\/14. What is the smallest value in -1, -2, z, -0.1?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 192715, 385437, 578165, 770899, 963639?\nAnswer: 1156385","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_test"},"subset":"dm_maths"} +{"text":"Question: Is 215682 greater than or equal to -0.1?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let r(x) = -49*x - 9. Let s(v) = 25*v + 4. Let t(u) = -4*r(u) - 9*s(u). Let y(k) = -3*k**2. Calculate t(y(m)).\nAnswer: 87*m**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 392172978?\nAnswer: 2, 3, 65362163","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -40*d + 751 + 489 = 0. Calculate the highest common divisor of d and 1054.\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose t - 76 = 2*z, -3*t + 76 = -2*t + 2*z. Let h = 106 - t. Suppose -3*f - 6 = -h. Is f a multiple of 4?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 389114 a multiple of 23?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: 5.2 - -7055425092\nAnswer: 7055425097.2","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Express -19 - 6*a + 34 - 21 + 2*a as r*a + k and give r.\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*o = 5*s - 40, -7 = -4*o + 2*s - 29. Let p be -8 - -3 - (1 + -1). Sort o, 1, p.\nAnswer: p, o, 1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of -4164, -16783, -37832, -67311, -105220, -151559, -206328?\n\"Answer: -4215*l**2 + 26*l + 25","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 14083573 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Round -9.9 to the nearest 100.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is -1 - -6 - ((7 - -11) + -11) - -8?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -7 + 11. Let b be -8*1*(-2)\/t. What is the third derivative of -6*r**b - 3*r**2 - 3*r + 3*r + r**4 wrt r?\nAnswer: -120*r","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*v - 30 = -5*g, -9*g + 10*g + 2 = -v. Solve -10 = -2*k - g*q, -14*k - 2*q + 10 = -9*k for k.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in -4\/3, 0.0088, -0.7?\nAnswer: 0.0088","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 7014 and 8517.\nAnswer: 501","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is 331041331 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -200 + -1022. Let v = -1222.561 - f. What is v rounded to 1 decimal place?\nAnswer: -0.6","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 0.04 - 0.44. Let r = 48.9 + -49. Which is the closest to r? (a) k (b) -2 (c) 4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(f) = -14*f - 4. Suppose 1380*l = 1385*l - 25. Let w(h) = 27*h + 7. Give l*j(t) + 3*w(t).\nAnswer: 11*t + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Round -582.4 to the nearest ten.\nAnswer: -580","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (4\/(-10))\/(3\/15). Let o be ((-1)\/45)\/(q\/12). Which is the fourth smallest value? (a) o (b) -0.2 (c) -3\/4 (d) 2\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -1 in 2\/7, 6\/13, -0.1, 1?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -32\/35 + 6\/5. What is the closest to b in 10, 0.1, 3\/2, -5?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(r) be the third derivative of r**6\/180 + 88*r**5\/15 + 7744*r**4\/3 + 5451776*r**3\/9 - 10*r**2 - 1. Factor b(p).\nAnswer: 2*(p + 176)**3\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j be 2\/14 - (-312)\/21. Let a be 2 + (-76)\/j + (0 - -3). What is the third smallest value in 0.8, a, 0?\nAnswer: 0.8","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -161 + 230. Let y(o) = -10*o**2 + 52*o + 62. What is the remainder when b is divided by y(6)?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*u + 3*f - 2 = 0, -120 = -3*f - 114 for u.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -1206, -1397, -1588, -1779, -1970, -2161?\nAnswer: -2352","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 1108 to the power of 1\/2, to the nearest integer?\nAnswer: 33","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 4*u + 2*q + 250, -9735*u - 3*q - 313 = -9730*u for u.\nAnswer: -62","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let c(q) = -8*q**2 - 79*q + 15. Calculate c(-10).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 253*v + 31*v**2 + 36*v**2 + 35*v**2 - 248*v - 117*v**2.\nAnswer: -15*v**2 + 5*v","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 5095172 to the nearest integer?\nAnswer: 2257","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) 3 (b) 5 (c) -0.4 (d) 14\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of g*t*y + 2141*g*y**3 - 3*t*y**3 + 1245*t*y + y**2 wrt y?\nAnswer: 12846*g - 18*t","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 17, 30, 53, 86, 129, 182, 245?\nAnswer: 318","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -1 + 1 + 3*i - 3*i - 4*i + 5*i + (2 + 2 - 1)*(0 + 0 - i) to the form v*i + l and give v.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -3711 + 6441. What is the units digit of s?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(o) = -o - 2. Let c be m(-6). Suppose c*b + 61 = -55. Is 9 a factor of (-18)\/9 - (0 + b)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1067785781 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1388 is divided by 139.\nAnswer: 137","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 54.21 + -53.91. Sort m, -4, -15.8, 4.\nAnswer: -15.8, -4, m, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(t) = t + 5. Let i be x(-5). Let l = i + 3. Find the second derivative of l*r - 2*r**3 - 2*r + r wrt r.\nAnswer: -12*r","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -30 - -43. Suppose -a*s = 15 - 366. What is the lowest common multiple of 6 and s?\nAnswer: 54","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 166.7 to the nearest ten.\nAnswer: 170","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let i(n) be the second derivative of -3*n**4\/4 + 6*n**3 + 18*n**2 + 23*n + 1. Let p(l) be the first derivative of i(l). Differentiate p(b) wrt b.\nAnswer: -18","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -10 + 10 - 4740*w**2 + 4877*w**4 - 7071*w**4 wrt w.\nAnswer: -52656*w","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(c) = 67*c**2 + 2*c - 2*c - 42*c**2. Let j(k) = k**2 - 4*k - 2. Let d(b) = -2*b**2 + 6*b + 3. Let g(r) = 2*d(r) + 3*j(r). What is z(g(i))?\nAnswer: 25*i**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) -0.09 (b) -2 (c) -3 (d) -4 (e) -1\/4 (f) 0.52 (g) -2\/27\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let p(v) = 12*v**2 - 4*v - 34. Give p(-4).\nAnswer: 174","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Find a such that -8*a**2\/13 + 106*a\/13 + 1360\/13 = 0.\nAnswer: -8, 85\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.8568756kg in nanograms?\nAnswer: 856875600000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 824881 or 824883?\nAnswer: 824883","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 26977?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let z be 8\/(-3)*(-3)\/2. Suppose -3*y = 2*r + 6, -8*y = r - z*y - 2. What is the units digit of -4 - -5 - r\/2?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence rrb when three letters picked without replacement from {c: 4, r: 4, b: 2}?\nAnswer: 1\/30","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 189 is divided by 44?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 30 + -25. Suppose 4*d = 6*d - l*v + 92, 140 = -4*d - v. Let s be (d\/(-30))\/((-3)\/(-10)). Solve 0 = 2*b - s*f - 20, 3*b + 5*f + 7 = b for b.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -20 + 18 + -6 + 4 + 18.\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -1 - (-5 - -7) - 1?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*c + 22 = 4*f, -4*f + 6*c + 2 = 4*c for f.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Expand (10741*z - 8452*z + 6046*z + 2567*z + 15059*z)*(6*z**2 + 0*z**2 - 3*z**2)*(3 + 3 - 5).\nAnswer: 77883*z**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of 68, 224, 466, 794, 1208?\n\"Answer: 43*j**2 + 27*j - 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let w(j) be the second derivative of 3*j**3\/2 + 2*j**2 + 23*j - 1. Determine w(-3).\nAnswer: -23","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 88721 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Are -22422959\/7 and -3203280 unequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let j(r) = 136*r + 410. Let u be j(-3). Let w(d) = -2*d**2 + 34*d - 64. Calculate w(u).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(k) = 37*k**3 - 2*k**2 + k - 2. Let n(g) = 112*g**3 - 5*g**2 + 2*g - 5. Let u(v) = 11*d(v) - 4*n(v). Let q be u(1). Is -43 > q?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 6071951 is divided by 2840.\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -54870, -54867, -54864, -54861, -54858?\nAnswer: -54855","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let g(q) = q**2 - 33*q - 28. Let n(f) = f**2 - 30*f - 27. Let s(k) = 3*g(k) - 4*n(k). Is s(20) a multiple of 22?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = j - 33 - 204. Suppose -3*h + 171 = -j. Suppose -7*s + 3*s + h = 0. Does 12 divide s?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 1 + (-3*(-1*sqrt(1440) + sqrt(1440)))\/(3*(-2*sqrt(1152) + sqrt(1152)) - sqrt(1152)).\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 933*a = -25953 - 60816 for a.\nAnswer: -93","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 0.383 + -0.083. Sort -2\/9, -1, -0.5, l.\nAnswer: -1, -0.5, -2\/9, l","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s be 3\/(-12) - 3462\/(-24). Suppose -82*z + s = -80*z. Let n = 74 - z. Solve n = -2*y - 8 for y.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -11628 or -11736?\nAnswer: -11628","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Does 1011 divide 2219145?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -40 = -5*q - 5*f, -3*q = -0*f - 3*f - 6. Differentiate 0 - 5 + 3*b - 3 + q with respect to b.\nAnswer: 3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1\/15*287 + (-130)\/975 is divided by 4.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(u) = 49 + 6*u - 8*u - 50. Calculate k(1).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: 683b (base 13) to base 7\nAnswer: 60343","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is 12 + 1a5?\nAnswer: 1b7","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let k(z) = z**2 - 9*z - 167. Let w be k(18). Sort -2, w, 94 in descending order.\nAnswer: 94, -2, w","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -25 - (34 - (-8 - -22)) - (1 + -3).\nAnswer: -43","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -578 + 578. Sort w, -14, -2, 3 in descending order.\nAnswer: 3, w, -2, -14","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 264 and 33.\nAnswer: 264","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let z(u) = -u**3 - 6*u**2 + 24*u - 20. What is z(-9)?\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 14*j - 21440 = 42162. What are the prime factors of j?\nAnswer: 7, 11, 59","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -8 - -6. Let z = -1.999955 - p. What is z rounded to 5 dps?\nAnswer: 0.00005","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(u) = -u**2 + 123*u - 1463. Calculate the remainder when r(105) is divided by 36.\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -328527 divided by -3?\nAnswer: 109509","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: (-61 - -107) + -9 + -74\nAnswer: -37","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 28738259729 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Put 3, -4, 0.2, -30, 2\/13 in decreasing order.\nAnswer: 3, 0.2, 2\/13, -4, -30","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 37522\/11 - 3416. Let l be (-213274)\/43280 - 3\/15. Let v = -3\/1082 - l. What is the common denominator of v and a?\nAnswer: 88","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 524802531\/227964335 - -2\/970061. Let o = d - 1\/470. Find the common denominator of ((65\/(-60))\/13)\/((-2)\/(-202)) and o.\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(o) be the second derivative of -o**3\/3 - o. Let j(q) = 2*q. Let h = -39 - -33. Let g(w) = 2*w. Let i(p) = h*j(p) + 4*g(p). Calculate d(i(v)).\nAnswer: 8*v","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Sort -4, 2, -15330, -91 in descending order.\nAnswer: 2, -4, -91, -15330","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let m(n) be the second derivative of 61*n**4\/4 + 100*n**2 + n + 65. Find the first derivative of m(i) wrt i.\nAnswer: 366*i","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 18 and 40.\nAnswer: 360","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 66216 is divided by 1477.\nAnswer: 1228","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 222 or 224?\nAnswer: 222","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is 9853504 a multiple of 58?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}