diff --git "a/data/dm_maths/full_data/11110_11255.jsonl" "b/data/dm_maths/full_data/11110_11255.jsonl" new file mode 100644--- /dev/null +++ "b/data/dm_maths/full_data/11110_11255.jsonl" @@ -0,0 +1,10000 @@ +{"text":"Question: What is the least common multiple of 22890 and 11?\nAnswer: 251790","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 76*j**6 - 2*j**4 + 3*j**3 - j**2 - 749.\nAnswer: 9120*j**3 - 48*j + 18","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve -12 = -4*t + 4*n, -n = -255*t + 252*t + 17 for t.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let b(q) = -61*q**2 + 4*q - 3. Let r(m) = m**2 - 16. Let l(s) = 63*s**2 - 5*s - 28. Let u(p) = -l(p) + 2*r(p). Give -5*b(x) + 4*u(x).\nAnswer: 61*x**2 - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let g be 3\/(1 - 4)*518*-1. Let l(j) = 4*j - 192 - 4*j + g - 2*j. Is l(0) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(q) = 370*q - 315. Let n(z) = 8. Let j(i) = -6*n(i) + o(i). Differentiate j(v) wrt v.\nAnswer: 370","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(i) = -9*i**2 - 1303*i + 2303. What is o(-144)?\nAnswer: 3311","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -0.145 - 27.855. Let n = i + 89. Which is smaller: n or 3\/2?\nAnswer: 3\/2","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -1272 + 3090. List the prime factors of p.\nAnswer: 2, 3, 101","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -c + 3 = -2*g + 6, -4*c = -g + 12 for c.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 663049 is divided by 11262?\nAnswer: 9853","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let y(i) = i**2 + 17*i - 2. List the prime factors of y(-18).\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many centimeters are there in 1\/16 of a kilometer?\nAnswer: 6250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let p be -32 + (-5)\/((-20)\/12). Suppose 11*w + 216 = 3*w. Let m = w - p. Solve 3*y + 1 = t, 4*y - 5 = -m*t + 7 for y.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth root of 142 to the nearest integer?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 3*8*(-43)\/129.\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let a(s) = s + 15. Let f(g) = 8. Let i(z) = 6*a(z) - 11*f(z). Calculate i(4).\nAnswer: 26","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 a and 1 g when two letters picked without replacement from aaag.\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.265385 to three dps.\nAnswer: 0.265","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose r - 13 = 4*w - 2*w, -r - 4*w - 17 = 0. Let a = r + 0. Calculate the lowest common multiple of a and (-13)\/(65\/(-6)) - (-2)\/(-10).\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 462 = -2*o - 4*o. Let c = 72 + o. What is the closest to 2\/113 in c, -0.4, -3?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 97683 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (h**9*h**5)**8 assuming h is positive.\nAnswer: h**112","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -678349 = -5*m - o, 3*m - 5*m = -o - 271334. What is the second derivative of m*d**2 - 2*d + 142*d**3 - 135669*d**2 + 89 wrt d?\nAnswer: 852*d","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: 15703368 divided by 3925842\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 75\/(-7) + 7 + (-2)\/7.\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.73727 rounded to two decimal places?\nAnswer: 0.74","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let a(v) = v**3 - 11*v**2 + v - 8. Let p be a(11). Let k = p + 0. Suppose 153 = -k*x - n, x - n = -3*x - 204. Round x to the nearest ten.\nAnswer: -50","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(q) = -2*q - 21. Let h be s(-12). Let l = h + 38. What are the prime factors of l?\nAnswer: 41","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of 3, -24, -77, -156?\n\"Answer: -13*b**2 + 12*b + 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -5*a**3 + 61*a**3 + 3*a**3.\nAnswer: 59*a**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 35512 divided by -4439.\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is 6768 smaller than 6519?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 60*z**3 - 630*z**2 - 2*z wrt z?\nAnswer: 360","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (-1)\/(-3) - (-28)\/6. Suppose 2*t + 3736 = 3*r, -j*t + 1 = -4. Let b be 2\/(-11) + r\/77. Solve -c - b = -5*c for c.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p be 40\/(-26) - (-18)\/(-9)*-1. Let r = p - 44\/39. Which is the nearest to r? (a) 5 (b) 7 (c) -4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 699 minutes before 6:19 AM?\nAnswer: 6:40 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -0.1434*0.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 8 and 5116.\nAnswer: 10232","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let z(i) = i**3 - 2*i**2 - 2*i + 4. Let k = 474 - 470. What is z(k)?\nAnswer: 28","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (320\/48)\/((33\/(-455760))\/11). What is l rounded to the nearest one hundred thousand?\nAnswer: -1000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -41 - -43. Is 1\/11 at most k?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 45*t**2 - 48*t**3 - 192 - 4*t**4 - 23229*t + 23357*t + 4*t**5 + 19*t**2.\nAnswer: 4*(t - 2)**3*(t + 2)*(t + 3)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 322 a factor of 3594249652?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -34015, -68050, -102103, -136174, -170263, -204370?\nAnswer: -238495","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let q(t) = 8*t - 4. Let s(d) = -6*d. Determine s(q(o)).\nAnswer: -48*o + 24","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence zzz when three letters picked without replacement from tzttztztzzttttttttt.\nAnswer: 10\/969","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-95 - -42) + 10 - -50?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (a*a**7*a**7)**(-22\/3)\/(a\/(a**(-9)\/a)*(a*a**(-6)*a)\/a)**(-45) assuming a is positive.\nAnswer: a**160","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -b + 1 = 5*k, -2*k + 5*b = -3 + 8. What is the closest to -1.9 in 0.4, k, -4, 0.1?\nAnswer: k","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -7 - -11. Let k = 153 - 130. Let n = 22.9 - k. Which is the second smallest value? (a) i (b) n (c) -4 (d) -3\/4\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 229304 and 76?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: 16\/20*3\/((-42)\/(-35))\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Express 694*w**3 - 2 + 699*w**3 + 5*w**2 - 1415*w**3 as x*w**3 + a + l*w**2 + g*w and give a.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 500 and 33600?\nAnswer: 100","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 441477237.\nAnswer: 3, 29, 5074451","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -7 - -7.3. Put -0.2, a, 4 in increasing order.\nAnswer: -0.2, a, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 414491 is divided by 18021.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3 + 221 = -4*s. What is the nearest to 0.1 in -1\/6, s, 1?\nAnswer: -1\/6","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth biggest value in 37, 2\/9, -0.2, -2\/9, 1\/2, -70\/23?\nAnswer: -2\/9","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*q - y = 1680, -2*q - 4*y = 733 + 93. Let m = q - -425. Factor 0*c + 0*c**3 + 1\/3 + 1\/3*c**m - 2\/3*c**2.\nAnswer: (c - 1)**2*(c + 1)**2\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 120 (base 4) in base 11?\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let a(c) = -6741*c + 60685. What is a(9)?\nAnswer: 16","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.062868 - -1372480073?\nAnswer: 1372480072.937132","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Factor 4*m**3 - 16*m**2 + 12*m.\nAnswer: 4*m*(m - 3)*(m - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is 2436233 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -55 + 121 + 2*u - 15*u**3 + 29*u**3 - 64 - 22*u**3.\nAnswer: -8*u**3 + 2*u + 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*n = -2*n - 16. Let m = -151.8362 - -0.0362. Let r = m + 152. Put n, -5, r, 1\/10 in ascending order.\nAnswer: n, -5, 1\/10, r","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 38*l**4*z - 3*l**2*z**2 - 4*l*z**2 - 11*z**2 wrt l.\nAnswer: 456*l**2*z - 6*z**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -10 + 10. Suppose -2*y = 3*y, 3*k - 3*y - 42 = v. Let t = k - 14. Solve 0 = -t*p + 5*p + 25 for p.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 600765533?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -21*a + 608 - 251 for a.\nAnswer: 17","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 83700.78um in nanometers?\nAnswer: 83700780","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (r**(-6)*r*r\/((r\/(r\/(r*r**(2\/3))))\/r*r*r))\/((r*r**4\/r)\/r*r**(-4))*r**(1\/5)\/((r\/(r**(5\/2)*r))\/r)*(r**(-1))**(-12) assuming r is positive.\nAnswer: r**(301\/30)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is -11604 take away -518?\nAnswer: -11086","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*s - 5*p + 35 = -0, -5*s + 5 = -4*p. Let d(n) = -8*n + 104. Let g be d(13). Factor -1\/2*c**s + c**4 + 0*c + 0 - 1\/2*c**3 + g*c**2.\nAnswer: -c**3*(c - 1)**2\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1259017 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -5128*n**2 - 788*n + 396*n + 392*n.\nAnswer: -5128*n**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 11356.2 + -11365.2. Let w = 0.3 - 0.4. Sort a, 0, w in ascending order.\nAnswer: a, w, 0","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -k + 18 = -6. Suppose 11*i = k - 2. Solve -5*r + 3*n + 6 + 2 = 0, -4*n - 6 = -i*r for r.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Add together -12879536937620 and -5.\nAnswer: -12879536937625","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let z(p) = -11*p**3 + 3*p**2 - 1. Let v be z(-2). Let r be (-9 + 3)*v\/(-6). What is the highest common divisor of r and 9?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put together -2 and 351140.\nAnswer: 351138","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 4967?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Which is the seventh smallest value? (a) -44 (b) 0.5 (c) -6.3 (d) -2\/17 (e) -0.3 (f) -1\/2 (g) -1\/7\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 43 + -51 + -60 + 18?\nAnswer: -50","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -518 - -1150. Is d bigger than 631?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is -201 + -212211?\nAnswer: -220112","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -72878, -72722, -72462, -72098?\nAnswer: -71630","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -3*((sqrt(1152) - (-1*2*sqrt(1152) + sqrt(1152)))\/(sqrt(27)\/((sqrt(18)\/sqrt(6) + sqrt(3))*-2)))**2*-3.\nAnswer: 73728","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Expand (4*d + d - 3*d)*(-144*d + 251*d - 148*d)*(5 + 0 - 4)*(-7 - 1 + 15).\nAnswer: -574*d**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of (8 - -1) + -8 + 18086?\nAnswer: 3, 6029","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Are -84 and -1\/4 non-equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is -75e2c + -41?\nAnswer: -75e6d","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange ((30 - 30 - 6*b)*(-5 + 1 + 3) + (-2 + 2 - b)*(-2 + 3 + 1))*(4*b + 2*b**2 - 4*b) to the form z*b**3 + i*b**2 + a*b + c and give a.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let w(z) be the second derivative of -z**4\/12 - 73*z + 2. Let t(r) = -4*r + 12. What is t(w(a))?\nAnswer: 4*a**2 + 12","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 335344, 335349, 335354?\nAnswer: 335359","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 35*m = -3*m + 155154. Is m a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 24.66958 micrograms to kilograms.\nAnswer: 0.00000002466958","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 5*a - 2*u - 18, 2*a = 5*u - 1936 + 1939 for a.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 473 is divided by 441.\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let l(g) = -83*g + 154. Give l(2).\nAnswer: -12","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is 108422773 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 2\/9 in 5, -1\/3, -8?\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 779.\nAnswer: 19, 41","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((-3*b - 2*b + 6*b)*(8*b - b - b) - 6*b + b**2 + 6*b)*(-b - 2*b + 5*b).\nAnswer: 14*b**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -5*l**4 + 2*l**2 + 57*l + 3 - 121*l - 5*l**2 + l**2 + 71*l wrt l.\nAnswer: -60*l**2 - 4","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 166 - v - 105 - v**3 - 2*v**2 - v**4 - 87 as j + a*v + k*v**3 + w*v**2 + i*v**4 and give j.\nAnswer: -26","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -181 or -88?\nAnswer: -88","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 4*(-6)\/80*4*640\/(-24).\nAnswer: 32","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let m(j) = 2*j**2 - 6*j + 16. Let u be m(2). What is the smallest common multiple of 30\/((-49)\/(-42) - 2\/u) and 54?\nAnswer: 270","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from idiwywi. What is prob of sequence ii?\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 42003 divided by 14001.\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 1096085, 2192180, 3288277, 4384376, 5480477, 6576580, 7672685?\nAnswer: 8768792","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Divide 6676 by 1669.\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve 60*r - 2 = 61*r, p = 2*r + 9 for p.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (7 - 186\/12)\/((-2)\/4). Solve -s*w + 22*w + 5 = 0 for w.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(p) = -p**2 + 4*p - 3. Let l = -6 - -9. Let h = l + 0. Let u be s(h). Solve 3*i = -5*o - 25, u = -3*i - 2*o + o - 17 for i.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(u) = -33*u**3 - u**2 + 3*u - 2. Let a be w(2). Let s = a - -2113\/8. Solve 1\/2*f - 3\/8 - s*f**2 = 0.\nAnswer: 1, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -91.7 - 2.3. Let w = 93.963 + q. Round w to 2 dps.\nAnswer: -0.04","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -2 + -2 + (1 - (6 + -7) - 4)?\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8 - 16 = -4*i. Suppose -4 = 5*l + 2*f, -3*l = 2*f - i*f - 8. Solve l*p + 16 = -4*p for p.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*a = -7*d + 1864 - 1850, -3*a + 2*d - 4 = 0 for a.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 0 (base 4) in base 9?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let d be 0\/(-3 + 1 + -1). Suppose d = -x + 2*x + 2. Which is the biggest value? (a) 2 (b) -4 (c) x\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 89 or 615\/7?\nAnswer: 89","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 2\/125 of a meter in millimeters?\nAnswer: 16","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -3 - -7. Let q = 876 - 874. Let p = 2 + -1. Put t, p, q in increasing order.\nAnswer: p, q, t","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j be -1*(-1 + 2 + -3). Suppose j*v + 13 = -3*x, 5*x + v + 15 + 2 = 0. Which is the second biggest value? (a) 2 (b) 1\/4 (c) x\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 73\/74 or 0?\nAnswer: 73\/74","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Round -1.642628 to two dps.\nAnswer: -1.64","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0.2 in -3, 2, 1\/4, 8, -90723, -0.5?\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 4*3*(((sqrt(136) - 1*sqrt(136))\/sqrt(8) - sqrt(17)) + sqrt(17) - (sqrt(17) + 2 + -3) - (-1*sqrt(85)*3)\/sqrt(5))**2.\nAnswer: 48*sqrt(17) + 828","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 67442?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let u be 13 - (-10 - -15) - -281. Solve 0 = -290*g + u*g + 2 for g.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:39 AM and 11:50 AM?\nAnswer: 191","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is (-2)\/((-5)\/(113385\/6)) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 510481 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 5 + -9. Let u = b + 9. What is the third derivative of i**u + 59 - 2*i**5 - i**2 - 59 wrt i?\nAnswer: -60*i**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 6857205.\nAnswer: 3, 5, 17, 26891","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {b: 3, g: 7, o: 4}. What is prob of picking 3 o?\nAnswer: 1\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 130.2 - 127.2. What is the nearest to 2\/7 in 0.4, u, 48, 1?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: (15\/108*-3)\/((-50)\/300)\nAnswer: 5\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 32085831 to the power of 1\/10, to the nearest integer?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 20 = l - 2. Suppose 4*o - 2*p = l, -4*p + 3*p = -5*o + 29. Let m(x) = -21*x**3 - 3*x + 20*x**3 - 6 + 6*x**2 + 4*x. What is m(o)?\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(i) = -i**3 - 5*i**2 - 4*i + 2. Let k be r(-4). Let h = 50 - 18. Suppose 0 = -0*t - 4*t + h. Solve k*j - 12 = -4*m, -4*m = 5*j + t - 32 for j.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(q) = 2*q + 7. Let r be 4\/26 - (-558)\/(-78). Let u be d(r). Let v(p) = -p**3 - 8*p**2 - 8*p - 7. Calculate v(u).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 19 minutes after 9:29 PM?\nAnswer: 9:48 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (4 - 9 - -4)*0. Solve 2*x + p = 2*p - 3, x - 5*p + 15 = a for x.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -3*z**5 - z**5 + 6*z**5 + (-7*z**3 + 11*z**2 - 11*z**2)*(9 + 3*z**2 - 9) - z**5 + z**5 - 2*z**5.\nAnswer: -21*z**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -4914 - -4456.6. Let v = -410 - l. Let z = 47 - v. Which is the closest to z? (a) 1\/2 (b) -0.2 (c) -0.1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: -1.977 times -5\nAnswer: 9.885","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Work out -24834.9 * 16.04.\nAnswer: -398351.796","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 955756?\nAnswer: 2, 238939","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let g(u) = 25*u + 4. Let i(m) = -22*m**2 + 3*m. Calculate g(i(j)).\nAnswer: -550*j**2 + 75*j + 4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -10 + -16. Put 2, c, 4 in decreasing order.\nAnswer: 4, 2, c","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -90 smaller than -93?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let u(x) = 2*x**2. Let l(b) = -b - 1. Let g(j) = 4*j + 1. Let z(s) = g(s) + l(s). Determine u(z(o)).\nAnswer: 18*o**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((((k*k**(-1))\/k)\/k)\/k*k)**(3\/23) assuming k is positive.\nAnswer: k**(-6\/23)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 808 = 5*y + 4*o, -10*y + 798 = -5*y - o. What is the first derivative of -27*m - 120 + y*m + 28*m wrt m?\nAnswer: 161","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -4*s - 18*s**3 - 18*s**3 - 28*s**3 - 2*s.\nAnswer: -64*s**3 - 6*s","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Does 10087 = 10086?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*q - 2*g + 2 + 2 = 0, -5*q - 2*g = -20. Let y = 0 - -1. Let d = 0 + y. Is q greater than d?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is 1100 + -1001110?\nAnswer: -1000010","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 x, 1 n, and 1 c when three letters picked without replacement from xcncccxxxhrcxc?\nAnswer: 15\/182","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 13 - 15. Suppose -v - 4*v = -v. Sort r, -4, v.\nAnswer: -4, r, v","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-2 + -3 + (sqrt(2816)*4 - sqrt(2816) - sqrt(3564)*-1) + -1)*-5.\nAnswer: -330*sqrt(11) + 30","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 3813?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -115 or -108?\nAnswer: -115","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.000010121 to 7 decimal places.\nAnswer: -0.0000101","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Round 67150570 to the nearest one million.\nAnswer: 67000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from ssossso. What is prob of picking 1 o and 1 s?\nAnswer: 10\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let l(c) be the second derivative of 19\/2*c**2 - c**3 + 0 - 1\/12*c**4 + 3*c. Let u be l(-8). Is u smaller than -7?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 19*w + 0*w + 9*w + 4*w.\nAnswer: 32*w","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:55 PM and 1:23 AM?\nAnswer: 388","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve -103*j + 142 + 373 = 0 for j.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is b7a60 + 46?\nAnswer: b7aa6","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -46.99954 - -47. What is z rounded to 4 decimal places?\nAnswer: 0.0005","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1307651 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -2 - (4 - (-2 - 2\/18)) and ((-68)\/2)\/(-7 - 91\/35).\nAnswer: 72","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -8 = -2*d, 5*u + 0*d - 19 = -d for u.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let y be ((0 - 3) + 2)\/((-25)\/100). Is y not equal to 31\/6?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: 78 + -164 + (-2 + 6 - (-10 - -4))\nAnswer: -76","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let g(r) = -23*r**2 - 1 - r + r + 25*r**2. Let k(x) = -7*x**2 - 10*x. Let f(i) = -3*g(i) - k(i). Calculate f(-8).\nAnswer: -13","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_test"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*r + q - 21 + 8 = 0, 2 = -2*r + 2*q. Let s(k) = 155*k**2 - 10*k - 29. Is s(r) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (-1122)\/(-44)*20\/(-3). Let k = r + 166. Let p = 0.3 + -0.5. Sort p, k, -0.6 in decreasing order.\nAnswer: p, -0.6, k","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many millimeters are there in 6\/5 of a centimeter?\nAnswer: 12","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let j(w) be the first derivative of -27*w**2\/2 + 12. Let o(v) = -3*v**2. Calculate o(j(a)).\nAnswer: -2187*a**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -2\/29? (a) -20 (b) 82 (c) 0.5 (d) -1\/13\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let t(i) = 5*i - 2*i**2 - 6 + 23*i - 57 + i**2. Let y be t(26). Is -11 greater than or equal to y?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 30 + -29.908. Let t = r + -0.0919927. What is t rounded to 6 dps?\nAnswer: 0.000007","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find a, given that 10*a**4 + 75*a**3 - 365*a**2 + 240*a + 220 = 0.\nAnswer: -11, -1\/2, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {p: 2, l: 5}. Give prob of sequence llp.\nAnswer: 4\/21","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve 83*l - 95*l = 108 for l.\nAnswer: -9","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*w = 216 + 414. Suppose -3*y - w = -5*o, 3*o - y + 6*y - 29 = 0. Calculate the smallest common multiple of 4 and o.\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is -945398 + -129?\nAnswer: -945516","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-5 + 3 + 1)*(-r**2 + 2*r - 2*r) - r**2 - r**2 + 0*r**2 - 5*r**2 + r**2 - 2*r**2 + (-3 - 5*r + 3)*(-r + 7*r - 4*r).\nAnswer: -17*r**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 251741?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-52)\/(-132)*(-37998)\/27443.\nAnswer: -6\/11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*a - 22 = -2*c + 2*a, 4*c + 4*a + 12 = 0. Is c != 1\/171?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(h) = -2431991*h**2. Let s(g) = g. What is m(s(r))?\nAnswer: -2431991*r**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:57 PM and 5:43 PM?\nAnswer: 286","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -4.61 - -0.41. Let s = -0.8 + v. Which is the third smallest value? (a) s (b) 1\/5 (c) 0\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(x) = 3*x**2 - 8*x - 3. What is the remainder when h(6) is divided by 15?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q be ((-14)\/56)\/(2\/(-30)). Which is smaller: 3 or q?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose s + 0*s - 381 = 0. Suppose 77 - s = -4*p. Let l = -43 + p. Does 11 divide l?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*o + 6 = 5*o. Calculate the common denominator of (o\/40)\/((-6)\/268) and -5*((-58)\/(-28) - 1).\nAnswer: 140","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (1 - (12 + -11)) + (-1 - 0)?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let o(q) = q**2 - 21*q. Determine o(21).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: (16\/10)\/(-3*10\/75)\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*b = 4*a - 3234, 19*b = 23*b - 5*a - 4343. What is the remainder when b is divided by 1070?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2 = -5*d + j, 2*j + 2*j = -3*d + 8. Suppose 0 = -2*g - 11 + 1, d = f + g + 5. Suppose -n = -f*n - 10. What is the tens digit of n?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Are -587 and -4589 unequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: 48 - (-32 - (-9 - 21))\nAnswer: 50","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 6770101?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is (-19 - (6 - 6 - 9)) + 23?\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) -1\/5 (b) 8\/7 (c) 1059\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let c(l) = -132*l**2 - 74. Let v(b) be the third derivative of b**5\/60 + b**3\/2 - 203*b**2. Let x(u) = c(u) + 6*v(u). Find the first derivative of x(d) wrt d.\nAnswer: -252*d","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -6 = 5*k + 2*t, -k + 5*t - 3*t - 6 = 0 for k.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 185409035 and 9135.\nAnswer: 1015","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-3 + 4 - 9 - -5) + 9.\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let i(z) be the first derivative of z**2\/2 - 2*z - 7. Let f be i(2). Solve 20 = 2*h + 4*y, 3*y = 2*h - f*y + 15 for h.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 11946176 is divided by 101?\nAnswer: 98","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: 7 * -0.1277583\nAnswer: -0.8943081","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 249 is divided by 123.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 43 in -1, -0.7, 2\/11, 2?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let x be -3*(-2 + 3*-1). Suppose 0 = w - 53 + x. Let p = -27 + w. Is p prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find x, given that -3*x**5\/2 + 7197*x**4\/2 - 171423*x**3\/2 + 1004847*x**2\/2 - 263265*x - 855000 = 0.\nAnswer: -1, 2, 8, 15, 2375","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Does 11 divide 4554275?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*f**2 + 125486*f - 53184088 = 0 for f.\nAnswer: -63164, 421","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Divide -22 by 1405.\nAnswer: -22\/1405","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is 15281041 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*z - 1 = 4, o - 15 = 4*z. Let j = -163452 - -163455. Solve j*h + o = 4*t - 4, 0 = -t - 2*h + 1 for t.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1924905 to the power of 1\/8, to the nearest integer?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let n(o) = 9249*o - 3904. Calculate n(0).\nAnswer: -3904","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 723 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: Work out 77064 - 181476.\nAnswer: -104412","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Does 15 divide 983545?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let r(x) = 309*x**2 + 26*x - 84. Is r(-23) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -95*c + 312962 = -69*c. Is c a multiple of 20?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 3308 is divided by 274.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is 40063361 - 12?\nAnswer: 40063346","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 204 is divided by 101.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {c: 2, t: 4, a: 1, p: 7, x: 6}. What is prob of sequence cpxx?\nAnswer: 7\/1938","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Convert -1 (base 4) to base 3.\nAnswer: -1","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 143437 (base 8) in base 16?\nAnswer: c71f","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Put 13, -5, 2\/17, -10\/3, 4\/5, 1 in descending order.\nAnswer: 13, 1, 4\/5, 2\/17, -10\/3, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let n(j) = 6483*j + 29. Let i(f) = 2159*f + 9. Determine -13*i(v) + 4*n(v).\nAnswer: -2135*v - 1","meta":{"dup_signals":{},"source":"polynomials__add_test"},"subset":"dm_maths"} +{"text":"Question: Factor -w**3\/6 - 10*w**2 - 86*w - 400\/3.\nAnswer: -(w + 2)*(w + 8)*(w + 50)\/6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is 144 a factor of 275527?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 70 and 28.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {y: 10, e: 2}. Give prob of picking 4 y.\nAnswer: 14\/33","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let k(p) = 95*p**3 + p**2 - 23*p - 2. Let z(v) = -283*v**3 - 3*v**2 + 69*v + 6. Let o(u) = -7*k(u) - 2*z(u). Find the second derivative of o(j) wrt j.\nAnswer: -594*j - 2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 122826257\/378 + -324937. Calculate the common denominator of w and -29\/42.\nAnswer: 378","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8*g - 18*g + 3000 = 0. Let j = -309 + g. Is -71\/7 at least as big as j?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -257465\/24 - -10726. Find the common denominator of k and 8 + 602\/(-77) - (-2361)\/264.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: 0.5 - -8667\nAnswer: 8667.5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is 288 a factor of 3029442?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is 1300542262 + -2?\nAnswer: 1300542260","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let q(j) = 4191*j + 339475. Determine q(-81).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (n**2 - 3*n**2 + 0*n**2)*(-19*n - 3*n + 4*n - 3*n - 2*n + 6*n + (-1 - 4 + 3)*(2 - 2 + 2*n)) to k*n + t + x*n**3 + g*n**2 and give k.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 7, 37, 123, 295, 583?\nAnswer: 1017","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let s(q) = -69*q + 1065. Let j be s(16). Sort j, 4, -3, -4, -8.\nAnswer: j, -8, -4, -3, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*k = 5*k + 8, 4*w + 4*k = 116. Suppose 0 = 35*q - w*q - 4. Sort q, -5, -2, -3 in decreasing order.\nAnswer: q, -2, -3, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -1237.6 + 1240.1. Which is smaller: r or 1.4?\nAnswer: 1.4","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: 5319 divided by -2\nAnswer: -5319\/2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of 109, 98, 89, 88, 101?\n\"Answer: t**3 - 5*t**2 - 3*t + 116","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let j(u) = 65*u**3 + 1679*u**2 - 10*u - 2. Let a(h) = -82*h**3 - 1679*h**2 + 13*h + 2. What is -4*a(m) - 5*j(m)?\nAnswer: 3*m**3 - 1679*m**2 - 2*m + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 1525776?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is 52920 a multiple of 54?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -j - 176*g = -181*g - 55, 4*j - 100 = 5*g. Suppose -4*n = -0*n. Suppose -m + 0*m + 6 = n. What is the remainder when j is divided by m?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -3*b**3*t**3 - 708875*b**3 - 2*b**2 + b*t**3 + 11224*b*t**2 - 55*b*t + 5*b wrt b.\nAnswer: -18*b*t**3 - 4253250*b - 4","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*j = -q - 21, 11 = 5*j + 4*q + 27. Find k, given that 3\/4*k**2 + 0*k + k**3 + 1\/4*k**j + 0 = 0.\nAnswer: -3, -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 11647.\nAnswer: 19, 613","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let s(r) = r**2 + 3*r - 6. Suppose -5*q - 114 = 2*n, -30 = -4*q + 5*q + 4*n. Let d = q - -16. Calculate the remainder when 33 is divided by s(d).\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 54.0349 rounded to zero decimal places?\nAnswer: 54","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-1 + 1 - 2*p + 3*p + p - 5*p + (1 - 1 + 1)*(-4*p + 3*p - p) + 0*p + 0*p + p + 0*p + 2*p - 4*p + p + p - p - 4*p + p + p)*(6*p + 137*p - 30*p).\nAnswer: -791*p**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve 40\/13*b + 50\/13*b**5 - 248\/13*b**2 + 0 + 498\/13*b**3 - 340\/13*b**4 = 0.\nAnswer: 0, 2\/5, 1, 5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -17*q + 7*h + 22 = 12*q - 24*q, -q - 16 = 2*h for q.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve -19234*v = 2*w - 19233*v - 8, -6*w = 2*v - 20 for w.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: (-5)\/(-9)*(-20)\/((-100)\/3)\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 9*n**2 + 5*n**2 + 940*n - 3*n**2 + 9*n**2.\nAnswer: 20*n**2 + 940*n","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Express (-18*r + 15*r - 6*r**2 - 3 + 4)*(4*r**2 + r**2 + 6*r**2) as s*r**4 + f*r**2 + m*r**3 + q + z*r and give m.\nAnswer: -33","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of (-11)\/(-1) - (-4584 - -87).\nAnswer: 2, 7, 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -l**2 + 33*l**3 - 4 - 23810*l + 23810*l in the form y + m*l + k*l**3 + g*l**2 and give g.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: -10 + 13*(-11)\/(-11)\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) 5 (b) 0.4 (c) -1 (d) 25 (e) -2 (f) -157\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: -0.3 * -70137\nAnswer: 21041.1","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*i = 9*d + 24, -22*i = 4*d - 17*i - 2 for d.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is 5b01 + 5?\nAnswer: 5b06","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*b + 0*b - 257630 = -4*y, -2*b - 322038 = -5*y. Let i = -95592 - y. 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: Simplify ((sqrt(700) - 2*sqrt(700)) + 5)**2.\nAnswer: -100*sqrt(7) + 725","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -323 - -325. Let u(f) = 37195*f**2 + 7 - f**3 - z - 37202*f**2 - 4*f. Give u(-6).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-8)\/30*(-120)\/(-48)*21.\nAnswer: -14","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3 + 3 - 1)*(2*l**2 - 9*l**2 + 0*l**2) + 0 + 0 - l**2 + (0 + 0 + l**2)*(-1 + 1 - 2).\nAnswer: -38*l**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let p(q) = -275*q - 2. Let f(y) = -6*y**2 - 7*y - 7. Let o(h) = 5*h**2 - 3*h + 2*h**2 + 11*h**2 - 20*h**2 + h - 2. Let a(z) = 2*f(z) - 7*o(z). What is p(a(t))?\nAnswer: -550*t**2 - 2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: ((-456)\/(-1862))\/((-12)\/112)\nAnswer: -16\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 6884419 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (2 + (sqrt(1216)*3*6*-4 - 5*(3 + 2*sqrt(1216))))**2.\nAnswer: 17056*sqrt(19) + 8176553","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Convert 824.9706 minutes to milliseconds.\nAnswer: 49498236","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-1*2)\/1)\/(176\/(-264)).\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 6254 a multiple of 29?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -658 = -104*b + 97*b. Calculate the greatest common divisor of b and 47.\nAnswer: 47","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 6023\/66253*11*-2?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let v(y) = y + 1. Let a be v(-1). Let l = a + 4. Let f be (-1 + -1)\/((-2)\/1). Solve 0 = -l*r - f - 3 for r.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor q**2 + 98937*q + 791432.\nAnswer: (q + 8)*(q + 98929)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*g - j + 100057, -4*g + 100062 = -11*j + 13*j. What is the units digit of g?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 5*i - 38 + 3. Let t = 17 - i. List the prime factors of t.\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*x + 3894 = -o, 4*x + o + 1246 = 5144. Suppose 0 = 25*f - 23*f - x. Is f a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 5016475 and 672600.\nAnswer: 120395400","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 100*h**5 + 12*h - 16?\nAnswer: 2000*h**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 288460 is divided by 131?\nAnswer: 129","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let y(x) = -3*x - 339. Let t(r) = -29099*r. Give y(t(v)).\nAnswer: 87297*v - 339","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the billions digit of 9305244965?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 268?\nAnswer: 2, 67","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {y: 4, z: 1, o: 2}. Give prob of sequence yo.\nAnswer: 4\/21","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 18 and 321438?\nAnswer: 964314","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 112996 to the power of 1\/2, to the nearest integer?\nAnswer: 336","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 119 and 9214.\nAnswer: 64498","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 409390*b + 1261419?\nAnswer: 409390","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: -1130227182 divided by -28134\nAnswer: 40173","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Express (-3*p**2 + 5*p**2 + 14*p**2)*(-410*p**2 - 255*p**2 + 790*p**2) in the form w*p + z*p**4 + q*p**2 + l + a*p**3 and give z.\nAnswer: 2000","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (((-21)\/(-182))\/(2625\/1625))\/(6\/(-1071))?\nAnswer: -51\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 3.89 - -0.11. Let a be 3 + 14\/(-6) + 0. Put a, 0.1, x in descending order.\nAnswer: x, a, 0.1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -4, -12, 1, 4, -3, 19, 18 in descending order.\nAnswer: 19, 18, 4, 1, -3, -4, -12","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is (14\/5)\/(-11*(-16)\/(-440))?\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {n: 2, v: 2, l: 1, j: 2, z: 3, g: 2}. Give prob of picking 1 j and 2 g.\nAnswer: 1\/110","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let l be 45\/30*(3 - 1). Let r(n) = 4*n**3 + n**2 + 0 - 3 + 2 + n - 3*n**l. Let x(a) = 4*a**3 + 5*a**2 + 8*a - 6. Let z = 9 + -15. Calculate z*r(h) + x(h).\nAnswer: -2*h**3 - h**2 + 2*h","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from tajfy. Give prob of sequence jtaf.\nAnswer: 1\/120","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in 2, -557, -6445?\nAnswer: -6445","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-489 - 97 + 1)*(s**5 + 3*s**5 - 2*s - 2*s**5).\nAnswer: -1170*s**5 + 1170*s","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -3 + 2 + sqrt(68) + (-2*sqrt(68)*4)**2 + sqrt(68).\nAnswer: 4*sqrt(17) + 4351","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 480 minutes before 1:27 PM?\nAnswer: 5:27 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -3*((sqrt(637) - (3*sqrt(637) + sqrt(637))*4) + sqrt(637)).\nAnswer: 294*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 1752 and 32193.\nAnswer: 257544","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from erpme. What is prob of sequence rpe?\nAnswer: 1\/30","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Does 44 divide 161705623?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let l(v) = v**3 + 23*v**2 + 44*v + 95. What are the prime factors of l(-21)?\nAnswer: 53","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 33713369 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -703 + 702. Which is the biggest value? (a) 0.08 (b) v (c) 1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 2230 to the nearest integer?\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((1*sqrt(6912) + -5)*-2)**2.\nAnswer: -1920*sqrt(3) + 27748","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is (((-224)\/(-12))\/14)\/((-104)\/(-390))?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 24 + -11. Suppose 5*v = 7 + y. Suppose -96 = -v*d - 8. What are the prime factors of d?\nAnswer: 2, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -567, -1135, -1703, -2271, -2839?\nAnswer: -3407","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.007428986 to six dps.\nAnswer: -0.007429","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let t(o) be the third derivative of -o**5\/60 + 5*o**4\/24 + o**3\/2 - 8*o**2. Let s(n) = 29*n + 490. Let r be s(-17). Calculate t(r).\nAnswer: -21","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*p + 14*p = 168. Let s be (-77)\/p + (-2)\/6. Let v be (-2)\/(-6)*(-9)\/(-3). Sort -6, v, s in decreasing order.\nAnswer: v, s, -6","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3\/2*m**2 + 372*m + 0 = 0. Calculate m.\nAnswer: -248, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(z) = -z. Let a(n) = n + 1. Suppose f + 3 = 2*k, -5*f - 6 = 3*k - 4. Determine k*a(l) + 3*m(l).\nAnswer: -2*l + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -5784, -7173, -9490, -12735?\nAnswer: -16908","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -27*p - 27*p + 47*p.\nAnswer: -7*p","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of 1685969, 1685970, 1685971, 1685972?\n\"Answer: b + 1685968","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: How many micrometers are there in 576.7426 millimeters?\nAnswer: 576742.6","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in 128, 0.06, 0.5, 33?\nAnswer: 128","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let y(j) = -213*j + 89. Is y(-6) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*y = 1 - 3. Let o = -0.1 - -0.4. Let b = 3.5 - 3. What is the nearest to o in y, b, 2\/3?\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: 6+-0.09244\nAnswer: 5.90756","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -0.473 + -0.027. Which is the smallest value? (a) 26 (b) 2\/13 (c) f\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 2 - 4. Suppose -3 = 4*j - 5*r - 40, -5*j - 3*r = 0. Let i be 0\/((-3)\/(3\/2)). Sort j, u, i in increasing order.\nAnswer: u, i, j","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d be -3 - -7 - 4 - 0. Solve 2*u + 2*u = d for u.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 278 to the nearest integer?\nAnswer: 17","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -10958 = -2*i - n, -5*n = -2*i - 4948 + 15930. What are the prime factors of i?\nAnswer: 3, 7, 29","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1727039?\nAnswer: 499, 3461","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((p\/(p*p**18*p))\/(p\/(p\/p**(12\/11))*p))\/(p\/(p*(p*p**13)\/p)*p**(-1\/8)))**(-1\/5) assuming p is positive.\nAnswer: p**(701\/440)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 3\/16*(5*-4)\/((-150)\/25).\nAnswer: 5\/8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*g = -25, -d - 2*g + 4*g = 9 for d.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -1362*m**3 + 2216 + 1354*m**3 - 2216.\nAnswer: -8*m**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.00000314785 to 7 decimal places.\nAnswer: 0.0000031","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is seventeen halves of a centimeter in millimeters?\nAnswer: 85","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) 697 (b) 3 (c) 9\/7 (d) 0.04 (e) -2\/11 (f) 5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let r(d) = -d - 4. Let n be r(-6). Let q be (-4578)\/(-658) - 14\/(-329). Suppose -q*g + n*g = -19025. Is g a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -0.082 and 66064.6.\nAnswer: -5417.2972","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 48*x + 205*x - 3 + 0 + 1 + 152*x to the form u*x + g and give u.\nAnswer: 405","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let i be 15\/45 - 86\/(-3) - -2. Solve -4*z - z + 40 = 5*r, 5*r = -2*z + i for r.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 1450 - 517. Suppose 4*t + f - 241 = 0. Let c = t + 397. Is 14 a factor of c?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (((-63)\/(1134\/(-72)))\/(286\/65))\/((-2)\/(-12))?\nAnswer: 60\/11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 219219775 to the power of 1\/5, to the nearest integer?\nAnswer: 47","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-5 + 5 - 2*m)*(-10*m**2 + 601 - 601) + (3*m + m**2 - 3*m)*(m - 5*m + 2*m) + 3*m**3 + 0*m**3 + 0*m**3 to o*m + v + s*m**3 + j*m**2 and give s.\nAnswer: 21","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 0.32 + -3.02. Let y = 8790.690074 - 8787.99. Let q = k + y. What is q rounded to 5 dps?\nAnswer: 0.00007","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -k - 1194 = -7*k. Is k prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: 3569175 divided by 725\nAnswer: 4923","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: How many seconds are there in 809503.7 milliseconds?\nAnswer: 809.5037","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 251399081 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 16.941009678 rounded to 3 dps?\nAnswer: 16.941","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 1733?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -3 + 0 - (-2 - 83 - -71)?\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 728?\nAnswer: 2, 7, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 22 + -19. Let t(f) = -f**2 + f + 7. Let q be t(5). Let n = q + 13. Solve n = -s - 0*s + i for s.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -1401 - -2329. What are the prime factors of n?\nAnswer: 2, 29","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -3*b**4 + 30*b**3 - 84*b**2 + 18*b + 135.\nAnswer: -3*(b - 5)*(b - 3)**2*(b + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-400)\/280)\/(4\/(7*4\/2)).\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: 110 (base 2) to base 16\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -28 + 6 + 35 - (39 - 3)?\nAnswer: -23","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -15.79 + 15. Let z = -0.39 - k. What is the closest to 0.1 in z, 0.1, -6?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ninth root of 1199272024 to the nearest integer?\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 286182 to the power of 1\/2, to the nearest integer?\nAnswer: 535","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 318 minutes after 3:40 PM?\nAnswer: 8:58 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.00080505 to 4 dps.\nAnswer: 0.0008","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is -988 - 1?\nAnswer: -989","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 15 - 19. Let t be 3 - (0 - (r - -3)). What is the third derivative of -b**4 - 3*b**t + b**4 + 3*b**4 + 0*b**4 wrt b?\nAnswer: 72*b","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: 4030304 (base 5) to base 13\nAnswer: 23450","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2 - 2*y + 2)*(2*y**4 - y**4 + y**4) + 1254*y**5 - 20*y**4 - 2516*y**5 + 1261*y**5 - 24*y**3.\nAnswer: -5*y**5 - 20*y**4 - 24*y**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*d - 115 = 3*d. Let k = d + 18. Let i be (16\/k)\/((-24)\/60). Solve 5*u - i = 2*p, 0 = -5*u - 2*p + 5 + 7 for u.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 7 - -127. Calculate the remainder when y is divided by 44.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 655205 or 655202?\nAnswer: 655205","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from ipyzpizzpz. Give prob of sequence zppz.\nAnswer: 1\/70","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let x(a) = -a**3 - 6 + 0*a**3 - 2*a**2 - 7 + 8. List the prime factors of x(-5).\nAnswer: 2, 5, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(c) = -139*c - 1383. Let w be a(-10). What is the fifth biggest value in -4\/7, 1\/5, 2, -5, w?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -50 + 58. Let b(t) = t**3 - 9*t**2 + 9*t - 2. What is b(x)?\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Add -0.357 and 0.11.\nAnswer: -0.247","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3 + 2*c - 3)*((72*c - 148*c + 79*c + 13)*(3 - 4 - 1) + (-7*c - 4*c + 5*c)*(1 - 3 + 5))*(4*c**2 + c**2 - 6*c**2).\nAnswer: 48*c**4 + 52*c**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: 3796\/52 + (-5 - 60)\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -3624, -1, 4, -11, 3.\nAnswer: -3624, -11, -1, 3, 4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -93 = -3*o - 2*d, 5*d = 2 + 13. Suppose 6*x = -5*t + 337 + 6, -2*t - 292 = -5*x. What is the greatest common factor of x and o?\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -2190*l + 29326*l**3 - 2193*l + 2 + 4382*l in the form t*l**2 + m + c*l + d*l**3 and give d.\nAnswer: 29326","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -1463\/1863 or -2?\nAnswer: -1463\/1863","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -243.9 or -5?\nAnswer: -243.9","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let u(o) = o. Let l(z) = -4*z - 388683. Determine l(u(i)).\nAnswer: -4*i - 388683","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 3035 is divided by 49.\nAnswer: 46","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -11 - -7. What is the closest to -2\/15 in -1, j, -4\/9?\nAnswer: -4\/9","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) -905 (b) 0.4 (c) 0.1 (d) -4 (e) -1117\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((z**(-9)\/z)\/z)\/z**(-24))**(-14) assuming z is positive.\nAnswer: z**(-182)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*f + 4 = -2*f. Let a be (1 + 0)*(f - 2). Is a\/(-5) - (-71148)\/110 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -11*t + 2*t. Solve t = x + 2*m - 5, 12 = -0*m + 3*m for x.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 163478 by -2.\nAnswer: -81739","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 75498 and 585.\nAnswer: 14722110","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let j be 8\/(-12) - (-70)\/6. Suppose -3 + j = 2*q. Let z = 13676 + -13661. Solve 9*w + z = q*w for w.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(g) = -g + 7. Let b be d(7). What is the third derivative of -4*i**3 + b*i**2 - 2*i**2 + 2*i**3 wrt i?\nAnswer: -12","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -102 - -116. Sort -2\/3, -4, a, 0.2 in descending order.\nAnswer: a, 0.2, -2\/3, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 104 = 2*z + 2*z. Suppose 0 = 3*j + v - 5, 0*j - 2*j = -5*v - z. Find the second derivative of 2*b**3 + 0*b**3 + 0*b**j + 2*b - b wrt b.\nAnswer: 12*b","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(w) = -16*w**2. Let n(u) be the first derivative of -3*u**2\/2 + 16. Calculate t(n(c)).\nAnswer: -144*c**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is 60 a factor of 384717420?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let x(k) = 2*k**2 - 6*k + 8. Let q be x(2). Suppose 4*b = -0*b - 3260000. Let o be (-16*5)\/(q\/b). Round o to the nearest 1000000.\nAnswer: 16000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose l = -2*o - 21, 3*l + 17 = -3*o - 22. Let t = 10 + o. Let i be t\/(3 + 143\/(-48)). What is the highest common factor of 12 and i?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 3353 - 6702 + 3349 - 13*n**3.\nAnswer: -13*n**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in 3\/2, 10, -8?\nAnswer: -8","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*i**4 - 84*i**3 + 273*i**2 - 186*i = 0. What is i?\nAnswer: -31, 0, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let z(i) = 74*i**2 - 2884*i - 65. What is z(39)?\nAnswer: 13","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.19164 rounded to 2 decimal places?\nAnswer: -0.19","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -1.14 - -1.04. What is the nearest to f in 1\/2, 4, 0.03?\nAnswer: 0.03","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(i) = i**3 - 10*i**2 + 2*i - 15. Let h be x(10). Suppose -v + 4*k = -10973, 4*k = h*v - k - 54865. Is v a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v be 1\/(1\/((-156)\/4)). Does 13 divide (v\/2)\/((-6)\/16)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 479083.\nAnswer: 11, 97, 449","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Convert 2 (base 12) to base 9.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: cc23 (base 16) to base 10\nAnswer: 52259","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Sort 3\/8, 102.929, -8, -6 in decreasing order.\nAnswer: 102.929, 3\/8, -6, -8","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 5*t**3 - 3*t - 194*t**4 + 193*t**4 + 4*t + 5 to the form l + m*t + b*t**3 + s*t**2 + h*t**4 and give h.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 1431123 - 2862088 + 1430964 - 33*m**2.\nAnswer: -33*m**2 - 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose g + 4 = 2. Suppose 6*y = -487 + 469. Sort 1\/5, g, y, -0.1 in decreasing order.\nAnswer: 1\/5, -0.1, g, y","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 31919.68 - 29677. Round u to the nearest ten.\nAnswer: 2240","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -3*u**4*y**3 + 7*u**4*y**2 - u*y**2 + 200*y**3 wrt u.\nAnswer: -36*u**2*y**3 + 84*u**2*y**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -576*d**5 - 15*d + 8*d**2 + 8*d - 404*d**5 wrt d?\nAnswer: -58800*d**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(m) be the third derivative of -m**6\/720 + m**5\/120 - 5*m**4\/24 - 7*m**2. Let l(a) be the second derivative of s(a). Calculate l(5).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(p) = -9*p + 3. Let u(i) = i**2 + 7*i + 4. Let m be u(-7). Suppose -5*w = 5*d + 35, -w - 3*d - m = 7. Let z(l) = -5*l + 2. Determine w*z(q) + 3*o(q).\nAnswer: -2*q - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let o(d) = -7*d. Let a(i) = 5*i. Let v be -4*(-1)\/22 - (-490)\/(-154). Let k(u) = v*o(u) - 4*a(u). Let c(r) = -24*r**2. Calculate c(k(t)).\nAnswer: -24*t**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*q + 0 = 111. Suppose q + 77 = 3*f. Is f a multiple of 19?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence mnnm when four letters picked without replacement from nnnnnnnnnmnmnm.\nAnswer: 5\/182","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (w**22\/w)**(-6)*(w\/(w\/w**(-2\/5)))**(-38) assuming w is positive.\nAnswer: w**(-554\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is 113 - -1223?\nAnswer: 1336","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 44 - 42. Let z(m) = -1 - 38*m**y - m + 17*m**2 + 22*m**2. Determine z(3).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Product of -232.6 and 2559.\nAnswer: -595223.4","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -4668\/5 + 4666\/5. Which is the fourth smallest value? (a) -4 (b) 0 (c) h (d) 2\/3\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -1073.78 - -1060. Let h = 13.85 + 0.15. Let v = h + g. What is v rounded to 1 dp?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is -1 - -110101010010?\nAnswer: 110101010001","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve 120*q = 43*q + 742 - 203 for q.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 3.4 + -5.4. Let w = 5 - 5.1. Which is the second biggest value? (a) w (b) l (c) -2\/9\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (449*q - 595*q + 902*q)*(3*q**2 + 0*q**2 + 0*q**2).\nAnswer: 2268*q**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Put -3, 3, 0, -10, 25 in descending order.\nAnswer: 25, 3, 0, -3, -10","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 240 + -3118\/13. Suppose v - 2*v = 0, -4*v - 4 = -2*r. Which is the second biggest value? (a) r (b) -0.1 (c) o\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1671586?\nAnswer: 2, 7, 37, 461","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -312, -311, -310?\nAnswer: -309","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 7 = -6*f + 55 for f.\nAnswer: 8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let w(z) = -6*z - 3. Let k(b) = -7*b - 3. Let c(s) = -4*k(s) + 5*w(s). Let d be ((-12)\/(-8))\/(12\/(-32)). What are the prime factors of c(d)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between 0.3 and 3071300?\nAnswer: 3071299.7","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -63 + 62. Let m = -2511869\/1035 + 21848\/9. Let o = m - 2\/69. Sort o, v, -3.\nAnswer: -3, v, o","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(o) = -o**2 + 20*o - 19. Let a be y(19). Suppose 5*j = -10, -3*i + 4*j = -a*i - 185. Suppose 10*w = i + 1. What is the units digit of w?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(f) = f**2 - 10682*f - 310597. What is y(-29)?\nAnswer: 22","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 6*((2*sqrt(55))\/sqrt(11) + sqrt(40)\/(sqrt(32)\/sqrt(4)) + (sqrt(40)\/(sqrt(96)\/sqrt(192)))**2).\nAnswer: 18*sqrt(5) + 480","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*b = -3*c - 2, -7 + 13 = 3*c for b.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 36828?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is -6632.70268 rounded to one decimal place?\nAnswer: -6632.7","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is -14001386.9 rounded to the nearest one thousand?\nAnswer: -14001000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.0000035428 rounded to seven decimal places?\nAnswer: -0.0000035","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:35 PM and 12:43 AM?\nAnswer: 428","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 360379 is divided by 567.\nAnswer: 334","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve 34*d - 3*d = -8*d for d.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of (2 + 40\/(-24))\/(46909\/23454 - 2).\nAnswer: 2, 3, 1303","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -0.48 + 32.48. Let s = 31.73 - l. What is s rounded to one decimal place?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: (4\/(-30))\/(19\/57)\nAnswer: -2\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) -4 (b) 45 (c) 107 (d) 0.1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: (1*(-6 + 7 + -3))\/(-1)\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(o) = o**3 + 9*o**2 + o. Let j be 41\/(-5) - 456\/570. Determine s(j).\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(s) = -12*s + 453. Calculate z(40).\nAnswer: -27","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Determine n so that 2*n**2\/13 + 304*n\/13 - 8050\/13 = 0.\nAnswer: -175, 23","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1387715?\nAnswer: 5, 7, 31, 1279","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange u**2 + 9*u**4 + 7*u**2 - 9 - 11*u**4 + 7 + 2*u to the form j*u**2 + c + d*u**4 + q*u + s*u**3 and give c.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is 5 - 193a8776?\nAnswer: -193a8771","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1, -2, -321.\nAnswer: -321, -2, -1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 45523.96871 + -45521.8. Let u = h - 2.17. What is u rounded to 4 decimal places?\nAnswer: -0.0013","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -241 + 239. Which is the nearest to v? (a) -0.2 (b) -3 (c) 2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(h) = h**2 + 12*h + 15. Let k(w) = -w**2 + 9*w - 26. Let o be k(7). Let d be t(o). Let r be 1 - (2 - (3 - 2)). Solve -3*x = -r*x - d for x.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 979 and 811591?\nAnswer: 979","meta":{"dup_signals":{},"source":"numbers__gcd_test"},"subset":"dm_maths"} +{"text":"Question: What is 6 minutes before 11:16 AM?\nAnswer: 11:10 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (1\/7)\/((-16)\/32)?\nAnswer: -2\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is -53 - (12 + -4 - 28)?\nAnswer: -33","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 2.5 + -2.6. Which is the closest to q? (a) 3\/2 (b) -0.4 (c) -4\/7\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -1 + -9 + -4 + -12 + 20?\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (10\/(-14) + (-2)\/7)\/1. Let z(f) = -279*f + 28. Is z(q) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*x = -5*n - 63848, 2*x - 7166 = 3*n + 35402. What is the units digit of x?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*o = 3*o. Suppose 3*k - 2*a - 25 = o, -10 = -5*k - 2*a - a. Solve 2*r - 5*n = -24 + 1, 0 = -3*r + k*n - 27 for r.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v be 55\/5 + 3\/1. Suppose o - v = 7. What is the tens digit of o?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(l) = 2*l**2 - 2*l - 3. Let t be u(2). Let w(j) = 2*j**2 + 5*j + 5. Let v(h) = h**2 + h + 1. Let s = -41 - -36. What is s*v(z) + t*w(z)?\nAnswer: -3*z**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let v(k) = -4*k - 2. Suppose -5*w = -o - 2*w - 16, 2*o + 28 = 5*w. Let n(z) = z**2 - 13. Let l be n(o). Let b(r) = 4*r + 1. Give l*b(d) + 2*v(d).\nAnswer: 4*d - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*u - 5*g + 720 = 0, u + u - g + 283 = 0. Let w(c) = -c**3 + 6*c**2 - 7*c - 6. Let h be w(6). Let v = h - u. Is v a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -402, -522, -652, -792?\nAnswer: -942","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: 29793634 divided by 494\nAnswer: 60311","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 63\/2020 and -3\/40.\nAnswer: 4040","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is -9649 (base 10) in base 14?\nAnswer: -3733","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 43 is divided by 11.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Sort -20452, 4, -426 in increasing order.\nAnswer: -20452, -426, 4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is 560561261 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let b(p) = -p + 10. Let z be b(5). Let i = -145 + 149. Let g = z - i. Is 3\/17 at most g?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*z = 4*p, 4 = -z - 4*p - 5. Sort 7, 4, 1, z.\nAnswer: 1, z, 4, 7","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -10 - (-2142)\/140 - 5?\nAnswer: 3\/10","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(r) = r**3 - r**2 - 2*r - 3. Let p(k) = 2*k**2 + k + 3*k + 2 + 3 - k**3. Let d = -16 + 16. Suppose d = -5*v - 5 - 20. Give v*u(w) - 3*p(w).\nAnswer: -2*w**3 - w**2 - 2*w","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 69 - 25. Let v = 43.99948 - u. Round v to four decimal places.\nAnswer: -0.0005","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many milliseconds are there in twenty-one halves of a second?\nAnswer: 10500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is -4455 divided by -1?\nAnswer: 4455","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let o(z) = -z**2 - z + 1. Let g(f) = -416*f - 15387. Let b be g(-37). Let u(j) = j**2 + 2*j - 3. Determine b*o(x) + 3*u(x).\nAnswer: -2*x**2 + x - 4","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let l(b) = 207*b + 5. Suppose 0 = 4*y, 0*p + p + y - 2 = 0. Is l(p) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -165*y - 2207 - 1660 + 7332 = 0 for y.\nAnswer: 21","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 4 z when four letters picked without replacement from zgzzzzgzzz?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve x + 5*z + 8 + 9 = 0, 55*z = 5*x + 50*z - 35 for x.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Divide 28337002 by -3847.\nAnswer: -7366","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let g(r) be the second derivative of -6*r**3 + 281*r**2\/2 - 2090*r. What is g(8)?\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 96*z**2 - 54*z**2 + 567*z + 270*z**2 + 0*z**3 - 3*z**3 + 252*z**2.\nAnswer: -3*z*(z - 189)*(z + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of 81, 80, 79?\n\"Answer: -w + 82","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 2634333 and 9524127.\nAnswer: 123813651","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((sqrt(72) + (1*sqrt(72) - sqrt(72)))\/sqrt(4))\/sqrt(6))**2 + -3*(1 + sqrt(3))**2*-2.\nAnswer: 12*sqrt(3) + 27","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 35 - -16. Let l = t + -50.6. Let s be (-2)\/22*2 + 105\/(-330). Which is the second smallest value? (a) -5 (b) l (c) 0.3 (d) s\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 981488?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (3\/(-6))\/(1\/(-6)). Suppose k + 1 = i. Suppose k*w = 8, 3*c - 3*w + 4 = c. Solve -c*d - 3 - 5 = 0 for d.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (1 - 3) + 7\/((-28)\/(-8000)). Suppose 0 = -10*r + 5868 - k. What are the prime factors of r?\nAnswer: 3, 43","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(o) = -o + 8. Let u be 2*5\/(-10)*-4. Calculate the lowest common multiple of m(u) and 18.\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine g, given that -5*g**5\/4 + 35*g**4\/2 - 305*g**3\/4 + 100*g**2 + 55*g - 140 = 0.\nAnswer: -1, 2, 4, 7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is 241411314 + -1054?\nAnswer: 241410220","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -9 + 7. Let i = -0.18 + 0.31. Let o = 0.18 - i. Which is the biggest value? (a) o (b) 4 (c) t\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 0.46 - 0.46. Is -10 greater than or equal to t?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -3? (a) 133\/3 (b) 368 (c) 0\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 1896022 rounded to the nearest 100000?\nAnswer: 1900000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let g(w) = -w**3 + 6*w**2 + 9*w - 9. Let d be g(7). Solve -j = -4*z + 22, d*j - 2*j = -5*z + 19 for z.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((z*z**(2\/5))**(20\/7))**1*((z**4\/z)\/((z**(-3)\/z)\/z))\/(z**(-1\/3)\/z*z**(3\/5)\/z) assuming z is positive.\nAnswer: z**(206\/15)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -90 - -122. Calculate the remainder when v is divided by 25.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 205404223.\nAnswer: 205404223","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: -52 - (-2 + 67 - 35)\nAnswer: -82","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*s - s - 3*a = -3, 3*s + a - 1 = 0. Suppose s = 2*n, -12 = 5*q - 4*n - 152. Calculate the remainder when q is divided by 7.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -86*a**2 + 72*a**2 + 44*a**3 + 14*a**2.\nAnswer: 44*a**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence gb when two letters picked without replacement from {g: 1, m: 1, b: 1}?\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let i(o) = -o**3 + 9*o**2 - 11*o + 24. Let q be i(8). Suppose 3*c + 3 = q, -3*v = v - 4*c - 3520. Is v composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -552 - -342. Let d = p + 214. Let f = -5.4 - -0.4. Sort 5, f, d in descending order.\nAnswer: 5, d, f","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 1 + 1. Suppose q*m - 116 = -2*m. What are the prime factors of m?\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 12*k**2 + 15*k**2 - 140*k**3 - 3*k**2 + 268*k**5 + 56*k**3 - 294*k**4 + 761*k**5.\nAnswer: 3*k**2*(7*k - 2)**2*(7*k + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of -142, -69, 122, 485, 1074, 1943, 3146, 4737?\n\"Answer: 9*a**3 + 5*a**2 - 5*a - 151","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: 101000011011010010 (base 2) to base 10\nAnswer: 165586","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:17 AM and 10:12 AM?\nAnswer: 115","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let i(l) = -2*l**2 + 18*l - 34. Let k be i(6). Suppose -3*s - 3 = -4*z, -5*z + 4*s = k - 6. Solve z = -12*f + 2*f - 40 for f.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 596 and 1800.\nAnswer: 268200","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 514 minutes before 10:26 AM?\nAnswer: 1:52 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -11 in -2, 0.1, -1\/21?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in -2, 0.3, -107, -3, -3794, 2\/7?\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -283 - -399. Calculate the greatest common factor of 4 and i.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -3\/79? (a) -2\/3 (b) -0.039 (c) -8 (d) 4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 2911\/28 + -389\/4. Let g be 233241\/(-495) - 1\/3. Let c = -2379\/5 - g. What is the common denominator of c and r?\nAnswer: 77","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-36 - 2*p + 36)*(-455 - 19*p + 455)*(3 - 2*p - 3).\nAnswer: -76*p**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of -4665399, -18661417, -41988113, -74645487?\n\"Answer: -4665339*l**2 - l - 59","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 1 in -1\/17, 1, 2\/95?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 3.45 - 3.4. What is the fourth smallest value in -1\/4, -4, -2, o?\nAnswer: o","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(s) = -2*s**3 - s**2 + 2*s - 1. Let i(k) = -5*k**3 - 14*k**2 + 23*k - 4. Let m(g) = i(g) - 5*u(g). Does 8 divide m(5)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of -94, -315, -682, -1195, -1854, -2659, -3610?\n\"Answer: -73*v**2 - 2*v - 19","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Sort 4, 335, 0, -467.\nAnswer: -467, 0, 4, 335","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -6*r + 5*r - 2*r.\nAnswer: -3*r","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -668302*l**4 - 4*l - 62664 wrt l?\nAnswer: -8019624*l**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between -864081 and -0.5?\nAnswer: 864080.5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve -236*u = -79*u - 357*u - 11800 for u.\nAnswer: -59","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -8 in 2\/19, -0.5, 1?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:38 PM and 5:06 AM?\nAnswer: 328","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is -5 - ((4 - -3) + (-2 - 1))?\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 246682503 to the power of 1\/2, to the nearest integer?\nAnswer: 15706","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let r(b) = b**2 - b + 6. Let k be r(3). Suppose -k*v + 7 = -5*v. Suppose 2*a + 3 = -v, a = c - 85. List the prime factors of c.\nAnswer: 83","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: ((0\/(-2))\/5)\/(-1)\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 4087 - 4062. Let n = 0.3 + -0.2. Which is the closest to u? (a) n (b) 1\/3 (c) -5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) 34 (b) 0.01 (c) -1\/2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*d + 2*q = -23 - 2, 10 = -2*q for d.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 115 + -111. Is ((-2)\/s)\/((-26)\/39052) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 8737*w - 85415 = 10290*w for w.\nAnswer: -55","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 44 and 9300.\nAnswer: 102300","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 j and 1 e when three letters picked without replacement from jjjjejjjpp.\nAnswer: 7\/40","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let j be 5*(92\/20 - 0) + -2. Calculate the remainder when 1458\/j - 12\/28 is divided by 30.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -32*j - 34*j - 28*j + 35*j**3 - 1 + 93*j to h*j**2 + i*j**3 + n + a*j and give n.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1, 28, -18, 32 in decreasing order.\nAnswer: 32, 28, 1, -18","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Divide 360 by 6.\nAnswer: 60","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 56605.35 litres in millilitres?\nAnswer: 56605350","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is -40932 divided by -379?\nAnswer: 108","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2 - 2 - 2)*((2 + 2 - 2)*(-1 + 1 - 2*f) + f - 3*f + 5*f).\nAnswer: 2*f","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 3709910 divided by -6?\nAnswer: -1854955\/3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of -214714, -214713, -214712, -214711, -214710, -214709?\n\"Answer: w - 214715","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -39593 + 71293. Let r = i + -50700. Round r to the nearest 1000.\nAnswer: -19000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -b - 8*w - 176 = 0, 7159*w - 2046 = -2*b + 7252*w for b.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {m: 4, w: 10, u: 1, z: 2}. What is prob of picking 1 m and 1 u?\nAnswer: 1\/34","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 5 + -11 + 7 - -7.\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is -103011.527 rounded to the nearest 100?\nAnswer: -103000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (5 - 4 - 1) + 0. Let y be 3 + (-1)\/(1\/(-2)). Sort y, v, 4 in decreasing order.\nAnswer: y, 4, v","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -16 = 4*k, 419 = 2*i - 4*k - 675. List the prime factors of i.\nAnswer: 7, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(k) = -k + 4. Let q = -1 + 1. Suppose q = -3*y + 3 + 9. Calculate m(y).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (-34)\/119*-28 - -2087. What is the highest common divisor of 10 and h?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*g**2\/13 - 5592*g\/13 - 3908808\/13.\nAnswer: -2*(g + 1398)**2\/13","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-3)\/(-195)*600\/(-40))\/(-2)?\nAnswer: 3\/26","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Work out -8 * 0.127.\nAnswer: -1.016","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -2? (a) -17 (b) 23\/4 (c) -3\/4 (d) 3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: How many millimeters are there in 1\/5 of a centimeter?\nAnswer: 2","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 5330 and 36868?\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -10 + 10.01. Let f = -5.01 + o. Let p = 380\/1629 - 2\/181. Which is the closest to 1\/3? (a) 0 (b) p (c) f\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1116950 to the power of 1\/2, to the nearest integer?\nAnswer: 1057","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: How many litres are there in 818.4325 millilitres?\nAnswer: 0.8184325","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 1626370 and 35?\nAnswer: 11384590","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is 9535797181 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*x + 1848 = -3*c, -6*c + 5*c - 1 = 0. Calculate the highest common factor of 18 and x.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 505 a factor of 130726?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -0.7 + 10054.\nAnswer: 10053.3","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is 8357374678 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let u(a) be the second derivative of -1\/120*a**5 - 1\/12*a**4 - 1\/6*a**3 + 0 - 3*a + 0*a**2. Let z(d) be the second derivative of u(d). Differentiate z(p) wrt p.\nAnswer: -1","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*u = r - 7 + 42, -5*r - 15 = 0. Let a be 1*2\/2 + 1. Solve -c - l - 6 = 0, 5*l + u = a*c + 2*l for c.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) 0.1 (b) -1\/4 (c) -39 (d) 0.2 (e) 8 (f) 7\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 37\/2 of a litre in millilitres?\nAnswer: 18500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 525 - -276. List the prime factors of l.\nAnswer: 3, 89","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -505 + -285. Round j to the nearest one hundred.\nAnswer: -800","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 4246293?\nAnswer: 3, 43, 32917","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -144*l**5 - 86*l + 2 wrt l?\nAnswer: -2880*l**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 8 - 1. Suppose 0 = -u - k + 3, -149 = 5*b - 4*u. Let x = b + 63. Solve 5*g = 4*c + 13, -3*c - 6 = 3*g - x for g.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*v = -2 + 8. Calculate the common denominator of (-175)\/(-18) - (1 + 2) and v\/5 + -93*5\/(-90).\nAnswer: 90","meta":{"dup_signals":{},"source":"numbers__lcm_composed_test"},"subset":"dm_maths"} +{"text":"Question: What is the value of -23 - (39 + -36 + -40 - 94)?\nAnswer: 108","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 20638565?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -115*u**2 + 2 + u**2 - 43 - 10 with respect to u.\nAnswer: -228*u","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Add -128 and 136318.\nAnswer: 136190","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 74135 (base 8) in base 15?\nAnswer: 91e3","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Does 4 divide 740078548?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*w = 4*w + 4*s - 12, s = 0. Let j be 15\/6 - w\/(-12). Calculate the greatest common divisor of 14 and j.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (2\/6)\/((-17)\/(-306)). Suppose -s + 0 = -1. Let b(o) = o**2. Let x(c) = -2*c**2 - 32*c + 64. Let w(v) = p*b(v) + s*x(v). Let w(m) = 0. Calculate m.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -11 - -11.2. Let r = u + 2.8. Let v = 14\/3 + -95\/21. What is the nearest to r in 4\/3, 0, v?\nAnswer: 4\/3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(z) = -21*z + 9. Give g(0).\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let b(p) be the second derivative of -p**4\/12 - 5*p**3\/6 - 3*p. What is b(-3)?\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 96931 to the nearest integer?\nAnswer: 311","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:19 AM and 9:00 AM?\nAnswer: 41","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Sort -268, -3, 1, -41 in decreasing order.\nAnswer: 1, -3, -41, -268","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 124 - -47. Let l be 1\/7 - n\/(-133). Which is the fourth biggest value? (a) 1 (b) -1 (c) l (d) -0.2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(a) = -a**2 + 12*a + 17. Let g = -22 + 34. Calculate n(g).\nAnswer: 17","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 19263208 to the power of 1\/2, to the nearest integer?\nAnswer: 4389","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 61238?\nAnswer: 2, 67, 457","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 38 minutes after 6:12 PM?\nAnswer: 6:50 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*k + 10*k = 2465. Let m = k + 2168. Suppose -2*j - j + m = 0. Is j a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 12430 and 70625.\nAnswer: 565","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 6669 and 13.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-1 + 0 + 2)*(-5*v + v + 3*v)*(3*v**2 + 39*v - 39*v) to the form l*v**3 + f*v**2 + j + u*v and give l.\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -60*d**2 + 23*d**2 - 5*d**2 to the form j*d + v*d**2 + w and give v.\nAnswer: -42","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let g(x) = 2*x**2 + 3*x - 3. Suppose a = 5*a - 3*r + 5, -r = 5*a + 30. Is g(a) a multiple of 16?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(143) + -3*-1*sqrt(143) + sqrt(143))\/(5*sqrt(891))*-6*4.\nAnswer: -8*sqrt(13)\/3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: 124 divided by 31\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((d*d*d*d**(-2\/9)*d*d**2)\/(d**(-1\/4))**(13\/5))**(-26) assuming d is positive.\nAnswer: d**(-15041\/90)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -t**2 + 12*t + 4*t + 25 - 25 + 4*t to o*t + h*t**2 + r and give h.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (0 - 5) + (-5 - ((9 - 1) + -10)).\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let h be 3*(-6)\/99 - (-138)\/33. Solve c + 4 = -o - 2*c, -h*o - 16 = 4*c for o.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -5671214 divided by 3.\nAnswer: -5671214\/3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of 699, 699, 701, 705, 711?\n\"Answer: q**2 - 3*q + 701","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 7.0012 - 7. Round h to four dps.\nAnswer: 0.0012","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.6204895um in centimeters?\nAnswer: 0.00006204895","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 4 t when four letters picked without replacement from {t: 4, u: 14}.\nAnswer: 1\/3060","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve 690*o = 829*o + 6811 for o.\nAnswer: -49","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -42*s**3 - 10*s - 7*s**2 + 58*s**3 + 10*s**2 - 3*s**2.\nAnswer: 16*s**3 - 10*s","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let w be 2\/10 - (-956)\/20. Suppose 5*o - 86 = -6. What is the greatest common factor of w and o?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from mmeumeqaaeqaxaa. What is prob of sequence xu?\nAnswer: 1\/210","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of -1732006, -1731892, -1731574, -1730950, -1729918, -1728376, -1726222?\n\"Answer: 17*v**3 - 5*v - 1732018","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve -393389*h = -392838*h - 82099 for h.\nAnswer: 149","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let q(m) = -5*m**2. Let o(i) be the first derivative of 0*i**2 - 1\/12*i**4 + 2*i + 4 + 0*i**3. Let u(w) be the first derivative of o(w). What is u(q(p))?\nAnswer: -25*p**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let o(d) = -d**3 - 4*d**2 - 4*d - 6. Let q be o(-4). Suppose -2*i - 72 = -5*u - q, 3*i = 12. Solve 0 = 3*n - 23 + u for n.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1110101111001111100 (base 2) in base 3?\nAnswer: 220112110200","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (-47)\/(-30) - -3*6\/(-27). Let y = a + -1\/2. Let p = -2 + 2. Does y = p?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 44609065?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-21)\/(11760\/(-854)) - ((-60)\/(-25))\/6.\nAnswer: 9\/8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 29 - 6*l**3 + 30 - 58 to the form z + u*l**3 + t*l + k*l**2 and give u.\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 56 + -32. Suppose f = -2*f + d. Does 8 divide f?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 2*w - 2*w - 2*w**3 + (-3 + 3 - w**2)*(0*w + w - 2*w) + 4*w**3 - 2*w**3 - 3*w**3 + 24*w**3 - 40*w**3 + 29*w**3.\nAnswer: 11*w**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 3073 and 92979322?\nAnswer: 439","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of 8967, 9042, 9091, 9114, 9111?\n\"Answer: -13*o**2 + 114*o + 8866","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let i(v) be the second derivative of -6171*v**5\/20 - v**4\/6 - 23*v**3\/2 - 5*v**2 - 10*v - 480. Find the third derivative of i(r) wrt r.\nAnswer: -37026","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 2436 less than 501818?\nAnswer: 499382","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Add together 0 and 0.131379793.\nAnswer: 0.131379793","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -30*g + 27*g = -243. Suppose 5*w = -4*u + 83, -2*u - 4*w = -27 - 13. Calculate the remainder when g is divided by u.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 117 a factor of 11858184?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -12 = 2*a - 6*a. Let j be a\/((558\/(-16))\/((-9)\/(-12))). Let c(f) = f**3 - 2*f**2 - 2*f - 3. Let y be c(3). Which is bigger: y or j?\nAnswer: y","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (x**0\/x*x*x)**(10\/11)*(x\/(x*x*x\/x**(3\/7)))\/(x*x**(-1)*x) assuming x is positive.\nAnswer: x**(-128\/77)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (1\/(-15))\/(11\/99). Let s(x) = -x**3 + 7*x**2 + 6*x + 15. Let q be s(8). Which is the second smallest value? (a) 5 (b) -3 (c) w (d) q\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -84808\/13 - -6524. Let n = 0 - 0. Is m bigger than n?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 6*d**4 - 2*d**4 - 3*d**4 + (-3*d**2 + 5*d**2 + 0*d**2)*(-2*d - 2*d**2 + 2*d) + 75*d - 51*d**4 - 75*d.\nAnswer: -54*d**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (c**(1\/4)\/c**0)**(-2\/5) assuming c is positive.\nAnswer: c**(-1\/10)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let q(u) = -5*u**2 - 7*u - 9. Let a(z) = 14*z**2 + 20*z + 26. Let s(f) = -6*a(f) - 17*q(f). Let x be (10\/20)\/((-1)\/6). Give s(x).\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 69236 is divided by 26.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: -4 - (-7 + 2 + -3)\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3515*v + 1404 = 3437*v for v.\nAnswer: -18","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 1033324953 - 24844953 = 22*n. Round n to the nearest one million.\nAnswer: 46000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 21 - 21.04. Let n be ((-22)\/6)\/(-11) - 0. Which is the nearest to q? (a) n (b) -1\/5 (c) -0.4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: 0.5 times -18845.2\nAnswer: -9422.6","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 21*c + 60*c + 45*c - 6174 for c.\nAnswer: 49","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 36901?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*n + 5*n = 30 for n.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 3 + -1. Suppose -2 = u*c - 78. Does 17 divide 2\/(-2)*(1 - c)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -14*n**2 + 16*n**5 + 7*n**5 - 2*n**4 - 30*n**5 - 2*n**3 - 2*n**5 + 2*n**3 + (-n**4 + 5*n**4 - 3*n**4)*(2*n - 3*n - n) - n**5 - 4*n**4 + 4*n**4.\nAnswer: -12*n**5 - 2*n**4 - 14*n**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -230, -230, -228, -224?\nAnswer: -218","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 40573584?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 149 minutes after 5:25 PM?\nAnswer: 7:54 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Factor 5*i**2\/2 - 735*i\/2 - 370.\nAnswer: 5*(i - 148)*(i + 1)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -11? (a) -3 (b) -3\/7 (c) -1321\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 46.9892 + -0.0892. Let g = -0.9 + w. Let j = -46.1 + g. Which is the biggest value? (a) 0.4 (b) -2\/9 (c) j\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t be 10\/(-8)*(-18)\/(-15)*-10. Suppose 21 = 6*p + t*p. What is the second smallest value in 3\/2, -3\/5, p?\nAnswer: p","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*x**2 - 630706*x + 3784308.\nAnswer: -2*(x - 6)*(x + 315359)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence oc when two letters picked without replacement from {c: 1, m: 1, b: 3, f: 4, o: 5, w: 1}.\nAnswer: 1\/42","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: How many months are there in 29\/5 of a decade?\nAnswer: 696","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 16482?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let w(l) = -l + 4. Let j be w(3). Let c(q) = -q**2 - 7*q + 3. Let y(h) = h**2 - h + 1. Let o(d) = j*c(d) + 2*y(d). List the prime factors of o(10).\nAnswer: 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: -10 + (0 + -7 + 0 - -2)\nAnswer: -15","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 219672?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify n**(-6)\/(n**(-2)*n*n)*n*n**(2\/7)*n\/n**(-2\/19) assuming n is positive.\nAnswer: n**(-480\/133)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of -184925, -369848, -554771, -739694, -924617?\n\"Answer: -184923*i - 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -459*z + 456*z - 4*h = -1131365, 0 = 4*h - 8. Is z prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(l) = 3*l - 10. Give c(4).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 16200 = -3921*g + 4326*g for g.\nAnswer: 40","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (6\/(-8) + (-1)\/(-2))*(85 - 85). Solve y = 5*k + 4*a - 13, 3*k + 11*a - 8*a - 9 = 0 for k.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 50 + -55. What is the nearest to 2 in n, 2, -1\/4?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -2? (a) 1\/12 (b) -4\/5 (c) -10.7 (d) 3\/4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0.9 in 8, -2733\/11, 2?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: -3145 divided by 2\nAnswer: -3145\/2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let n be -1*1 + 1 + 10. Let r = 11 - n. What is the tens digit of (2 - r) + -3 + 24?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 20*v**4 + 325555*v**3 + 1220515*v**2 - 569650*v - 976440 = 0.\nAnswer: -16274, -4, -3\/4, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_test"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is 3796507 + 2?\nAnswer: 3796509","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 104617311.\nAnswer: 3, 307, 113591","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is 2139556613 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 113341168 to the nearest integer?\nAnswer: 484","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 117244734 to the power of 1\/3, to the nearest integer?\nAnswer: 489","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((((((k*k**(1\/4)*k*k*k*k)\/k)\/k*k)**21)**(-1\/9))**(1\/8))**40 assuming k is positive.\nAnswer: k**(-595\/12)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence kje when three letters picked without replacement from {k: 3, t: 4, j: 1, e: 4, d: 1, o: 6}.\nAnswer: 2\/969","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -126 + 126. Let g(v) be the second derivative of w + 3\/2*v**2 + 0*v**3 + 1\/12*v**4 - 4*v. Differentiate g(x) wrt x.\nAnswer: 2*x","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is -2447 + 21838?\nAnswer: 19391","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -65*f + 400*f + 784*f - 436*f + 1051*f.\nAnswer: 1734*f","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve 36 = 4*r - 2*d, 2419*d - 2 = 2420*d for r.\nAnswer: 8","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -z + 1 = 3*o, o - 3*z = -5 + 2. Let k = 2705 + -2693. Put k, o, -1, 2 in increasing order.\nAnswer: -1, o, 2, k","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -14, 55, -3.\nAnswer: -14, -3, 55","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let n be ((-132)\/(-165))\/(2\/10*1). Suppose -2*f - 5*m - 198016 = -m, -n*f + 5*m - 395980 = 0. What is f rounded to the nearest ten thousand?\nAnswer: -100000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -10540*z**4 + 484*z**3 + 20497447*z**2 wrt z.\nAnswer: -252960*z + 2904","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: (7 + -8 - -8) + -11 - (1 - 4)\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence zdd when three letters picked without replacement from tddtdddddtzr.\nAnswer: 7\/220","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Factor -f**2\/6 + 695*f\/2 + 88847\/3.\nAnswer: -(f - 2167)*(f + 82)\/6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Express -41*k + 2*k**3 + 26*k**4 - 18*k**4 + 27*k**4 + 1 + 39*k in the form m + u*k**4 + j*k**2 + t*k + p*k**3 and give t.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*i + 4 + 2 = 0. Let p = -17371 - -68919\/4. Let r = p - -142. What is the closest to 0.2 in r, 5, i?\nAnswer: r","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from mtwptpeqq. Give prob of sequence mpq.\nAnswer: 1\/126","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {m: 1, q: 2, r: 1, t: 1, v: 1, s: 1}. Give prob of picking 1 r and 1 m.\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Determine k, given that -148*k**5\/7 - 148452*k**4\/7 - 37599284*k**3\/7 - 186883516*k**2\/7 - 157400568*k\/7 - 7968032\/7 = 0.\nAnswer: -499, -4, -1, -2\/37","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is 26406613 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let c(v) = -v + 1. Let a(g) = 2*g - 1. Let f(n) = -3*a(n) - 5*c(n). Let x(k) = 2*k**3 + 4*k**2 - 19*k + 12. Let j be x(2). Determine f(j).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(d) = -2*d**3 - 7*d**2 - 4*d. Let r be l(-3). Suppose 2*p = 2*y - 6, 0 = 7*p - r*p. Solve 3*s + 18 = -3*m, -1 = -m + y*s - 3 for m.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of (-80)\/140 - (-862)\/14?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (1 - 1 - r**3)*(-2 - 1 - 2 + (-5 - 1 + 4)*(-3 + 3 - 1) - 10 + 112 + 305) + 2 + r**3 + 4*r - 4*r.\nAnswer: -403*r**3 + 2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 3*i + 18*i**3 - 42791*i**2 + 21318*i**2 - 3*i + 21473*i**2.\nAnswer: 18*i**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 9 - 5. Suppose h*i - 3*m = 15, m = -i + 6*m + 8. Let o(t) = t + 6. Let f be o(-3). Is i at most f?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is -14 + -5a76aa?\nAnswer: -5a7713","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: 6475 (base 14) to base 6\nAnswer: 212155","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 131.79 or 0.6?\nAnswer: 0.6","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 11104423*s**5 - 2975*s**2 + 4*s + 38?\nAnswer: 666265380*s**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) 4 (b) 5 (c) 2\/7 (d) -1\/17\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let a(m) be the first derivative of 11*m**7\/42 + 4*m**3\/3 + 21*m - 2. Let i(l) be the first derivative of a(l). What is the second derivative of i(g) wrt g?\nAnswer: 220*g**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(u) be the second derivative of -2*u**6\/5 - 43*u**5\/5 - 34*u**4 + 176*u**3\/3 - 4*u - 263. Determine j, given that s(j) = 0.\nAnswer: -11, -4, 0, 2\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 140 = -116*v + 96*v for v.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: 2044 (base 7) to base 3\nAnswer: 222121","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 19046196?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence olr when three letters picked without replacement from rrroorsyooolo?\nAnswer: 2\/143","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let h(x) = -x**3 + 11*x**2 - 10*x + 12. Let a be h(9). Let k be (-24)\/a*28\/(-2). Suppose n + 105 = k*n. What is the greatest common factor of n and 5?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3*h + 5*h + 0*h)*(h - 2*h + 3*h)*(-11 + 11 + 92*h**2 + (h + 3*h - 2*h)*(-1 + 1 + h) - 2*h**2 + 0*h**2 + 3*h**2).\nAnswer: 380*h**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 124208?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -15.1 + -165.9. Let i = c + 185. Let d = 2.8 - 3. What is the smallest value in -5, d, i?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -0.1? (a) 0 (b) 0.2 (c) -1 (d) 74\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 4\/(-3*(-8)\/(-36)*-3)?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Sort 131, -2, 38891 in increasing order.\nAnswer: -2, 131, 38891","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 525675 and 69660.\nAnswer: 645","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 115707302?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is 306 a factor of 116280?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let r be -1 - -6 - (-3)\/6*-2. Solve 3*k + 3*m = 12, -3*m = -2*k - m + r for k.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 496187 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 77.21849 minutes in microseconds?\nAnswer: 4633109400","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Round 243080200 to the nearest one hundred thousand.\nAnswer: 243100000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -94 + 67. Let u = y + 23. What is the biggest value in -5, u, -3\/4?\nAnswer: -3\/4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*s - 34 = -m - s, m = 439*s - 438*s - 18 for m.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 33*n**4*z + 2*n**2*v**3 + 23*n**2*v*z + 22*n*v**3*z - 6*n*v**3 - 2*n*v*z + n - 3*v**3*z wrt n?\nAnswer: 396*n**2*z + 4*v**3 + 46*v*z","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -22*f = -8*f - 518. Let l(n) = -f*n + 5*n - 71 + 70. Is l(-1) even?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -5*f + 2*q - 5, 4*f - 5*q - 13 = -0*f. Suppose 3*w - 4 = -2*z + 7, -4*w + 4*z = -8. Sort -4, 1, w, f in increasing order.\nAnswer: -4, f, 1, w","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 1.435 - -0.165. What is the fourth biggest value in w, 2\/15, 2\/5, -0.3?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*a - 2*a + 6 = 5*k, 0 = -5*k + 20. What is the least common multiple of 6 and a?\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -d (base 14) in base 5?\nAnswer: -23","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 416 a multiple of 6?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Does 906 divide 40807966?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 10 - 4. Let v = w + -4. What is the third biggest value in -2, v, 0?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(p) = -5508*p**3 - 16524. Let g(i) = 2. Determine -2*f(d) - 16524*g(d).\nAnswer: 11016*d**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Put -4, 1, -34, 2, -3 in increasing order.\nAnswer: -34, -4, -3, 1, 2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Factor -k**3\/9 + 44*k**2\/9 + 95*k\/9 - 46\/3.\nAnswer: -(k - 46)*(k - 1)*(k + 3)\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -0.252 - 5.748. Let m = -0.07 - -5.97. Let q = y + m. Put 5, q, -3 in increasing order.\nAnswer: -3, q, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*r + 4*r = -36. Let b(f) = 29*f**3 - f**2 + 1. Let m be b(1). Let c = m + r. Is 4 a factor of c?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of -17263, -17258, -17253, -17248?\n\"Answer: 5*j - 17268","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 1949*h + 1890*h + 561*h.\nAnswer: 4400*h","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is 227 a factor of 5874257?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0 + 0 + 4 + 0 - 4 + 2 + (3 + 3 - 5)*(-2 + 2 - 2) - 1 + 4 - 2)*(4*h**2 - 35 + 35).\nAnswer: 4*h**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 2*n + 2*x + 28, -71*x + 16 = -4*n - 83*x for n.\nAnswer: -19","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 113*q + 113*q - 456*q + 112*q + 118*q + 3*q**2.\nAnswer: 3*q**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -4098 + 4078. Is -57 greater than or equal to n?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 1844917, 1844955, 1844993, 1845031, 1845069, 1845107?\nAnswer: 1845145","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -12 + 11. Let z(i) = -34*i. Is 13 a factor of z(f)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-8 - -9) + 5 + 11?\nAnswer: 17","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 22781 a multiple of 10?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let i(u) = 3*u**2 - 8*u - 4. Let c(h) = -3*h**2 + 10*h + 4. Let n(w) = -5*c(w) - 6*i(w). Give n(3).\nAnswer: -29","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is -17 + -14?\nAnswer: -30","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let f(m) = -m**2 + m + 1. Let r(l) = l**3 - 2*l**2 - 3*l - 5. Let x(z) = -4*f(z) - r(z). Let j be x(6). List the prime factors of 3 - (j + -1 + 3).\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*d - 42 = -30 for d.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is -530 bigger than -530?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7*y = 13*y + 68*y - 592. Solve 1316*v - 1308*v = y for v.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*o = -h - 91127, 2*h = -0*h - o - 182290. Let l = h + 186141. Suppose 0 = 5*a + 2*w - 0*w - l, 6 = -2*w. What is a rounded to the nearest ten thousand?\nAnswer: 20000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (2*(-3)\/(-8))\/((-93)\/62).\nAnswer: -1\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence hg when two letters picked without replacement from gedkh?\nAnswer: 1\/20","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is -1002210 - 11110010121?\nAnswer: -11111020101","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 717425.5 - -3.327?\nAnswer: 717428.827","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 42726*f**5*m**3 - f**2*m**2 - 2*f - 15*m**3 + 6 wrt f?\nAnswer: 2563560*f**2*m**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Expand -2117*v**5 + 2147 - 4289 + 2142 + v**4 + v**5 - v**4 + (-3 + 3 + 2*v**3)*(v**2 + v**2 + 0*v**2).\nAnswer: -2112*v**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 3385049 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (u**(-19)*u**(-2)\/u)\/(u*u**(-11)*u*u**10\/u*u) assuming u is positive.\nAnswer: u**(-23)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let p(l) = 7*l - 7. Let x(j) = -4*j + 4. Let t(q) = -3*p(q) - 5*x(q). Let g be -1*(13\/(-26))\/(1\/(-2)). Let o(b) = -b**2 + 5*b - 5. Calculate g*o(v) - 5*t(v).\nAnswer: v**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 12132 and 108?\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*c + 21 = z, -22*c + 3*z + 216 = 189 + 121 for c.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of -15, -92, -221, -402, -635?\n\"Answer: -26*l**2 + l + 10","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Determine w, given that -3*w**4\/2 - 195567*w**3\/2 + 3130155*w**2\/2 + 20539575*w\/2 = 0.\nAnswer: -65205, -5, 0, 21","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-4 - 1 + 0*u + u)*(-u - 3*u + 2*u) to b*u + d*u**2 + m and give d.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 5 - -3. Suppose 3*p = p + x. Suppose -38 - 30 = -p*b. What is b rounded to the nearest 10?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(u) = -u + 4. Let v be q(8). Let s be (-210 - 3)*(v - -5). Let n = s - -363. Is 14 a factor of n?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is w in -21*w**3 - 723*w**2 - 7005*w\/7 - 2475\/7 = 0?\nAnswer: -33, -5\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is 244 + -1102?\nAnswer: -525","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Find q, given that -q**2 - 3994*q - 3988009 = 0.\nAnswer: -1997","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let c(l) = -7*l**3 - 3*l - 5. Let o(k) = 8*k**3 + 3*k + 6. Give -5*c(w) - 4*o(w).\nAnswer: 3*w**3 + 3*w + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 28 is divided by 20?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 1.8 - 2. Let p be (-4 - (-6)\/3)\/((-20)\/(-5)). What is the nearest to 0 in p, -5, t?\nAnswer: t","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence gj when two letters picked without replacement from {j: 1, g: 1, c: 1, e: 2}.\nAnswer: 1\/20","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let d(b) = b**3 - 9*b**2 + 6*b + 10. Let c be d(8). Let m = c + 10. Suppose m = -0*z - 2*z. Sort z, 0, 4 in ascending order.\nAnswer: z, 0, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(k) = -12*k - 97. Let m be y(-8). Let d = -7\/17 + 89\/51. Sort 3, d, m in ascending order.\nAnswer: m, d, 3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 557900 rounded to the nearest 100000?\nAnswer: 600000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -52 + -11. Let q = -63 - l. Suppose q = -p + 5, 181 = 4*j - p - 2*p. List the prime factors of j.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) -2\/3 (b) 0 (c) 5 (d) -0.2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 1998874686?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -35.32 - -34.2. Let g = 0.82 + s. Suppose -2*k + 5*l = -18, 0 = 6*k - k + 4*l - 12. Which is the third biggest value? (a) g (b) 3\/4 (c) -1 (d) k\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_test"},"subset":"dm_maths"} +{"text":"Question: Let z(o) = -o**3 + 237*o**2 - 15*o + 14. Let q(c) = c**3 - 237*c**2 + 12*c - 12. Calculate 5*q(t) + 4*z(t).\nAnswer: t**3 - 237*t**2 - 4","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 66*g**3 - 31*g**3 - 33*g**3 + 2*g - g**4 - 12 to w*g**2 + j*g + k*g**4 + i + s*g**3 and give k.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 18344 to the power of 1\/2, to the nearest integer?\nAnswer: 135","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -s + 2 + 0 = 0, 3*r - 3*s + 69 = 0. Let v be (-364)\/(-1638) - (0 - (-137)\/9). Is r bigger than v?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 2.431 + -0.106. Let f = q - -0.215. What is f rounded to one decimal place?\nAnswer: 2.5","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 523 + -67. Suppose -4*y + s = h, 4*h - 5*h = y - 117. Is y a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*g**2 + 140*g + 1298.\nAnswer: 2*(g + 11)*(g + 59)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -1539.9 + 1540. Which is the nearest to 2\/5? (a) -0.5 (b) s (c) -2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(c) = c**3 + 4*c**2 + 4*c. Let y be h(-2). Suppose 2*p + 261 = 265. Suppose 0 = p*t - 0*t + 5*j - 31, -t - 2*j + 14 = y. Solve 5*r - 7 = t for r.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 25.623 - 26.173. Which is the second biggest value? (a) y (b) 5 (c) -4 (d) -5 (e) 1\/3\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (42\/98)\/(104\/455)?\nAnswer: 15\/8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from cqqqcqqqq. What is prob of sequence cc?\nAnswer: 1\/36","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-4*m + 0*m + 2*m + (-5 + 0 + 4)*(2*m + 0 + 0) - 2*m - m + 4*m)*(-51 + 62 + 182).\nAnswer: -579*m","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let w(x) = 2265*x - 25. Let s(v) = -453*v + 5. Let g(j) = 11*s(j) + 2*w(j). What are the prime factors of g(-1)?\nAnswer: 2, 229","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (59\/4)\/(-18 - (1 + -8 - (37 + -27)))?\nAnswer: -59\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(s) = -2*s**3 + 6*s**2 - 14*s. Let r(v) = -v**3 + 7*v**2 - 13*v - 1. Let c(x) = 2*i(x) - 3*r(x). Let a = -12 + 2. Give c(a).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 282883 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 1968146028?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 1.03559 rounded to one dp?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in -2, -1\/7, -0.2, 0.1?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 1 + 2. Suppose 2*y - u = 1. Is (-20)\/(-1 + -1) + y a multiple of 12?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(d) = -d**2 + d + 4. Let t = 26 + -22. Determine n(t).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine l so that 2*l**4 - 144*l**3 + 2864*l**2 - 9792*l + 9248 = 0.\nAnswer: 2, 34","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 35*v**3 + 38*v**3 - 122*v**3 + 29*v**3 + 28*v**3.\nAnswer: 8*v**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Does 11 divide 34836662?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose u - 31 = -3*a, 3*u = 4*u - 4. Let j be 0 + 0\/(4\/(-2)). Suppose 5*f - 21 = p, -27 = -592*f + 591*f + 4*p. Solve j*b + f*b = a for b.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.0000693 rounded to six decimal places?\nAnswer: 0.000069","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in 1\/8, 24\/19, -1\/66?\nAnswer: 1\/8","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let h(n) = -n**3 - 11*n**2 - 9*n + 27. Let i be h(-10). Let t(x) = -17439*x**2 - 15*x + 126. Let b be t(i). Round b to the nearest 1000000.\nAnswer: -5000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 79\/168 and 95\/42?\nAnswer: 168","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 2112, 1583, 1080, 603, 152?\nAnswer: -273","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is twenty-five quarters of a week in hours?\nAnswer: 1050","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let n(g) = 4*g + 4*g - 2*g - 4*g + 24. Let w be n(-10). Solve -4*t = 3*m + w, 0*m = -m - 4 for t.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.01337706 rounded to five dps?\nAnswer: 0.01338","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*t + 2*z + 8 = 0, 3*t + 5*z = -2 + 6. Let s = 166 + -25. Suppose -13*a = -s + 37. What is the remainder when a is divided by t?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: 382\/3 - (-22035)\/(-5085)\nAnswer: 123","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*w - 48*p - 155 = -w + 93, 0 = -5*w - 3*p - 55 for w.\nAnswer: -8","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -b + 5*b - 92. Suppose 8*u = 10865 - 10737. Let x = b - u. Solve v + 6 = x for v.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*z - 4*q = 7 - 4, -5*z - 5*q = 15. Let k(j) = 31*j**2 + j. Determine k(z).\nAnswer: 30","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -345*h + 153*h - 708*h - 215*h to the form k*h + u and give k.\nAnswer: -1115","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*o + 2*m - 1314091 = 0, -o - 45*m + 262811 = -41*m. Is o composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 174 by 12.\nAnswer: 29\/2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is 113323 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is -347.7 times -3?\nAnswer: 1043.1","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 11901 in -5, 0.4, 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 11 (base 14) in base 2?\nAnswer: 1111","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: (726\/(-9801))\/((-2)\/(-3))\nAnswer: -1\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.6473166 weeks in hours?\nAnswer: 108.7491888","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3192554 = -29*m - 3192206 for m.\nAnswer: 12","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*z + 12 = 0, -3*z = -u + 66 - 20. What are the prime factors of u?\nAnswer: 5, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -0.4, -2\/11, -10.4, 1\/2 in increasing order.\nAnswer: -10.4, -0.4, -2\/11, 1\/2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.00214212 rounded to five dps?\nAnswer: -0.00214","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -60 + 59 - (-2 + 6)?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -13 - (87 - (-91 - -247)).\nAnswer: 56","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*n = -3*r + 10, r = -0*r + 2*n + 6. Put -4, 4, r, -3 in descending order.\nAnswer: 4, r, -3, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -15*y + 18*y = 0 for y.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: How many micrograms are there in 17\/4 of a milligram?\nAnswer: 4250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3*m - 5*m - 19*m)*((-37 - 61 - 10)*(-1 + 1 + 1)*(3 + 1 - 3)*(0 - 2 + 5) + 1 - 3 + 0).\nAnswer: 6846*m","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Express -2 + 13*c - 24*c + 13*c in the form a*c + d and give a.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is 52562891 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: -38902 (base 12) to base 5\nAnswer: -4433310","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let m(d) = 10*d + 2. Let j(o) = 1989*o**3 - 30*o - 9862. Let a(i) = j(i) + 3*m(i). Differentiate a(s) wrt s.\nAnswer: 5967*s**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (r**(3\/4)\/r**(1\/10))\/((((r\/r**(-2\/9))\/r)\/r)\/(r*r**(8\/5))) assuming r is positive.\nAnswer: r**(145\/36)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let y be 3*4\/6 - -28. Let a(n) = 6*n - 210. Let o be a(39). Calculate the greatest common factor of y and o.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(x) be the second derivative of 1\/6*x**3 + 0*x**2 + 1\/12*x**4 + 0 - x. Find the second derivative of a(n) wrt n.\nAnswer: 2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1854 divided by 2?\nAnswer: 927","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is 8161 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let z be ((-3)\/9)\/(22\/(-12)). Let u(x) = x - 8. Let o be u(4). Let s be 1 + -1*(-5)\/o. Which is the closest to s? (a) 0.5 (b) z (c) -0.2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -7 - -7. Suppose 3*o - 3*g + 6*g + 15 = q, 5*o + g = -5. Let x = 3 - 1. Solve 5*t = 4*a + 28, o = -t - 3*t + x*a + 20 for t.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is 129ebc - 1?\nAnswer: 129ebb","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Sort -5\/8, -4\/7, -3, -1\/14, 1 in increasing order.\nAnswer: -3, -5\/8, -4\/7, -1\/14, 1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let h(g) = -g + 188. Let r(f) = 17*f**2. Give h(r(t)).\nAnswer: -17*t**2 + 188","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: How many millennia are there in 0.19947 years?\nAnswer: 0.00019947","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 39*w**3 - 48*w**3 - 2*w + 2 - 39*w**3 wrt w?\nAnswer: -288*w","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 387 is divided by (49\/(735\/72))\/(3\/50).\nAnswer: 67","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 7450211?\nAnswer: 7450211","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 13957765 is divided by 1838.\nAnswer: 1831","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*a - 28 = -4*h, a - h = -a + 17. Let w = 10 - a. What are the prime factors of 2*19\/w + 1?\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -64.7 - -64.7. Let u = 15.24 + -15. Is u bigger than a?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 137413217 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 412914?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 109 is divided by 32?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 15 = v + 4*v. Let q be 2\/(-3) + 11\/v. Solve 2*x - 5 = -q*x for x.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 10683440 is divided by 6599.\nAnswer: 6258","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 85406?\nAnswer: 2, 42703","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 198166325.\nAnswer: 5, 7, 41, 71, 389","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 510001832?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Put -66, 4, -2, -5, -10 in decreasing order.\nAnswer: 4, -2, -5, -10, -66","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: (1500\/(-550))\/(1\/1) - -3\nAnswer: 3\/11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.000129803097 rounded to 6 decimal places?\nAnswer: -0.00013","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -68336045\/14 + 4878981. Let x = -2166 - d. Calculate the common denominator of x and 45\/2.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -201 (base 10) to base 2.\nAnswer: -11001001","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Round 1258.51 to the nearest 100.\nAnswer: 1300","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from zooqozoojzol. Give prob of sequence olo.\nAnswer: 1\/44","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 2\/7? (a) 1\/4 (b) -2\/15 (c) 12\/17\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is 22 - 223?\nAnswer: -201","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 82977016 to the power of 1\/5, to the nearest integer?\nAnswer: 38","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -8\/93 + 812\/5115. What is the closest to h in 5, 0, 1, 0.4?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of -1, -19, -45, -79?\n\"Answer: -4*g**2 - 6*g + 9","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 875\/12 - 15965\/228. Which is greater: a or 0?\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 58618772 less than -5996?\nAnswer: -58624768","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 70, 272, 608, 1078, 1682, 2420, 3292?\nAnswer: 4298","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -3 + (sqrt(468) - ((sqrt(468) - (sqrt(468)*2 - sqrt(468)) - sqrt(468)) + sqrt(468) + sqrt(468))**2).\nAnswer: -471 + 6*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*r + 4 = -2*r. Suppose -4*p = 2*c - 6, -r*c + 2*p + 3 = -3. Solve v = -c*v - 12 for v.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 57673, 57939, 58205, 58471, 58737, 59003?\nAnswer: 59269","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Put together 679734989059 and 0.69.\nAnswer: 679734989059.69","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (22\/(-1))\/(-1*1). Suppose 5*i - 3 = j. Let o(q) = -q**3 + q - 1. Let c be o(-2). Solve 3*n + i*d - 21 = 0, -2*n - 2*n + c = -d for n.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: 216410\/5092*(-32)\/(-34)\nAnswer: 40","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: -2 + (397\/6 - 2) + (11305\/102)\/133\nAnswer: 63","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let j be ((-3)\/5)\/((-27)\/2 + 15). Let l = 10 + -8. Which is the third biggest value? (a) -5 (b) l (c) j\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 2 + ((-1*sqrt(209))\/sqrt(11) - sqrt(1216)*-1) + ((sqrt(133)*-1 - sqrt(133))*-6 + sqrt(133))\/sqrt(7).\nAnswer: 2 + 20*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in 0, 5, -0.01435, -4\/9, 16, -0.1, 1?\nAnswer: -4\/9","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 5*n - n - 7*n + 3 + 2*n - 3 + (3 + 0 - 1)*(41*n + 5 - 22*n - 22*n) to the form i + q*n and give i.\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let b(j) = 3*j + 2 - 2. Let l(c) = -28*c + 60. Suppose 2*q - 24 = 3*x - 5, -3*x = -4*q + 23. Let k be l(q). Let w(i) = -2*i. Determine k*b(o) + 5*w(o).\nAnswer: 2*o","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose q + 2*q - 11 = z, 2*z = -3*q + 5. Let w be 0 + (1 - 1 - z). Is -1*(-15 + 0) - w a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (50\/45)\/(2\/3). What is the second biggest value in s, -2\/311, 0.2, -2?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(d) = d**2 + 3*d - 6. Let w be m(-3). Let o = 14 + w. What is the lowest common multiple of o and 36?\nAnswer: 72","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -2*q**2 + 13*q**3 + 27*q**3 - 48*q**3 - 7*q**4 + (-q - q - 6*q)*(4*q**3 + 3*q**3 - 5*q**3).\nAnswer: -23*q**4 - 8*q**3 - 2*q**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is -56 times -3.258?\nAnswer: 182.448","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:33 PM and 2:50 AM?\nAnswer: 617","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -20 = 5*t + 5*f, -3*t - 3*f = 2*t + 20. Let c = -8244 - -8242. Sort t, -9, c in descending order.\nAnswer: c, t, -9","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 0*y + 7*y**3 - 2*y**3 + 4027*y**2 + 0*y - 4 + 2*y**4 - 4023*y**2 to v*y**3 + x + w*y + i*y**4 + h*y**2 and give x.\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 106 and 5?\nAnswer: 530","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let c(w) be the first derivative of 13*w**6\/6 + w**3\/3 - w**2 - 2*w - 2. Find the second derivative of c(o) wrt o.\nAnswer: 260*o**3 + 2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -31 + (17 - -2) - -10 - (-1 - 3).\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) -0.2 (b) 5\/2 (c) -38 (d) 5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -3*(-1*(sqrt(176) + -4) + -5) - (-1 + (((2*sqrt(176))**2 - sqrt(176))*6 - (1*sqrt(176) + 2))).\nAnswer: -4218 + 40*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 436249, 872535, 1308847, 1745179, 2181525, 2617879, 3054235, 3490587?\nAnswer: 3926929","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -16.7 - -12.35. Let r = g + -0.15. Let o = r + 5. Put -3\/7, o, 1 in descending order.\nAnswer: 1, o, -3\/7","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3 + c**4 + 3)*(2*c + 2*c + c).\nAnswer: 5*c**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -2 + sqrt(187)\/(-1*sqrt(396)).\nAnswer: -2 - sqrt(17)\/6","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (15\/(-1500)*2)\/((-1)\/(-1)).\nAnswer: -1\/50","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-94 - (139 - 150)) + 22?\nAnswer: -61","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 10 = 31*k + 41 for k.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 3? (a) -2\/3 (b) 0.1 (c) -2\/19\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is -321639 greater than -2?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let i be ((-4)\/(4\/3))\/1. Let u(t) = -45*t - 43*t + 4*t**2 - 36*t - 5*t**2 + 120*t - 1. Let h be u(i). Solve -3*n = b + 3*b + 6, h*b + 14 = 4*n for b.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 134*j = 140*j - 12 for j.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve -10*v = 13*v - 230 for v.\nAnswer: 10","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the sixth smallest value? (a) -110 (b) -5 (c) -4 (d) 5 (e) 1 (f) 0.5 (g) 3\/1925\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Express (-82*j**2 + 154*j**2 - 75*j**2 - 2*j)*(2*j**2 - 2*j**2 - j**2) in the form b*j**3 + v + y*j**2 + f*j + w*j**4 and give w.\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is -222 + -79d3?\nAnswer: -7bf5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.11 - -0.00371?\nAnswer: -0.10629","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let w(y) = -34*y**2 + 5. Let v be w(-4). Let g = 183 + v. Let h be 2\/7 + g\/(-28). What is the greatest common factor of 52 and h?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-2 - -2) + -37 + 46\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let k(x) = 5*x**2 + 19*x - 1. Let s(j) = 9*j**2 + 39*j - 2. Calculate 11*k(z) - 6*s(z).\nAnswer: z**2 - 25*z + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 200975 - 12.01.\nAnswer: 200962.99","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (0 + (1 + (((1 + sqrt(2448) - sqrt(2448)) + -2)*-5 - (sqrt(2448) + -6*(sqrt(2448) - sqrt(2448)*-1))*5))*3)**2.\nAnswer: 71280*sqrt(17) + 66647124","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let q be 4\/(-28) + 3846\/21. Let t = q + -63. Does 32 divide t?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -587a0 (base 11) in base 6?\nAnswer: -1452350","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (y**(-1\/3)*(y*y**(-7))\/y)\/(y**(-1\/2)\/(y*y*(y\/(y*y\/(y*(y*y*y\/(y*y**(-5\/2)\/y))\/y*y*y)*y))\/y)) assuming y is positive.\nAnswer: y**(-1\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -13, -53, -135, -271, -473?\nAnswer: -753","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*b - 5*r - 37 = 0, -5*b + 4*r + 107 = 72 for b.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is one tenth of a millennium in years?\nAnswer: 100","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -1*((-2 + -2*sqrt(1573))*-2)**2.\nAnswer: -25184 - 352*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -2\/83 + 87\/166. Let r = -1\/1252 + 2507\/3756. Which is the third smallest value? (a) 1\/20 (b) r (c) d\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0 in -4, -1\/3, 1?\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*w = -2*i + 96, -2 = -i + 2. List the prime factors of w.\nAnswer: 2, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*m = 10, -2*v + 4*m = 18 - 46. What is the smallest common multiple of v and 174?\nAnswer: 522","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 26 - 8. Let z(o) be the third derivative of o**5\/60 - o**4\/24 - o**3\/3 + 4*o**2. Calculate the smallest common multiple of i and z(5).\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 824 is divided by 446?\nAnswer: 378","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Convert 110001 (base 2) to base 5.\nAnswer: 144","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is -102968726697 - -1596?\nAnswer: -102968725101","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from ooolooollllol. Give prob of sequence ollo.\nAnswer: 21\/286","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -1\/2392 or 272?\nAnswer: 272","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let t be 8\/(-10) - (5291\/455 - 12). Let n = -249\/2599 + 1\/113. Which is the fourth biggest value? (a) -4 (b) n (c) t (d) 3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 36581595 by -15.\nAnswer: -2438773","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*j - 2*j = -8. What is the remainder when j*3\/(-6) - -1 is divided by 3?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 135660 and 297255.\nAnswer: 20213340","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 12492 divided by -4164?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 2126 + -2069.81. Let y = -56 + x. Let f = 13.19 - y. Does -0.1 = f?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(y) = 11*y**3 - 2*y**2 - 4*y - 5. Let m be 5*1*5\/25. Let z(o) = -o - 1. Let u(v) = m*s(v) - 5*z(v). Is 10 a factor of u(1)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-i - i + 0*i)*(i**4 + 564*i**2 - 1965217*i**3 + 1965217*i**3).\nAnswer: -2*i**5 - 1128*i**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*c = -3*s + 482, -4*s + 9*c + 636 = 8*c. What is the remainder when s is divided by 28?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 45649.\nAnswer: 191, 239","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence kl when two letters picked without replacement from {k: 4, l: 5, r: 3}.\nAnswer: 5\/33","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0.162? (a) -1 (b) 14 (c) 0.6 (d) -2\/3 (e) 2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -5*a**2 + 599 - 302 + 2*a - 304 to the form t*a**2 + l*a + n and give n.\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 31739 is divided by 30.\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {u: 3, l: 8, i: 2, t: 3}. What is prob of sequence lttl?\nAnswer: 1\/130","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-w + 10*w**3 + w)*(59 - 1426*w - 36 - 23).\nAnswer: -14260*w**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -2 divided by -69.\nAnswer: 2\/69","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of -29100, -28532, -27960, -27384, -26804?\n\"Answer: 2*f**2 + 562*f - 29664","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve x = -5*u + 4*u, -3*x + 35*u + 10 = 40*u for x.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-17*n + 17*n - 4*n**2)*(99 - 180 + 110) to the form b*n + v*n**2 + i and give v.\nAnswer: -116","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Divide -73627835 by 14305.\nAnswer: -5147","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -20 - -20. Solve q = -x - 3*x for x.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify j*j*j*j**37*j\/(j**44\/j) assuming j is positive.\nAnswer: j**(-2)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let x(o) = 4 - 3 + 5 + 2*o - o. Does 2 divide x(6)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 4 s when four letters picked without replacement from sooosoooooo?\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1763593 is divided by 24?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -451*j**2*n**5 - 3*j**2*n - j*n**5 - 95*j*n wrt n.\nAnswer: -9020*j**2*n**3 - 20*j*n**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is -331 - -3378?\nAnswer: 3047","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -4? (a) 3 (b) -37 (c) -76 (d) -0.02 (e) 3\/5\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 708 in 1\/5, -2, 1\/8?\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -17 - -21. Which is the closest to 0.1? (a) -0.2 (b) 0 (c) h (d) -2\/7\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 804.218 centuries to years.\nAnswer: 80421.8","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 15.9*1176.\nAnswer: 18698.4","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve -10429*l + 914372 = -493543 for l.\nAnswer: 135","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*a - x + 47 = 0, a = 4*a + 4*x + 19. Let h = 16 + a. Is 7 a factor of h?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s be 39\/(-516) - 3\/12. Let v = 3128 - 3128. Is s > v?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 4467 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: What is the square root of 137476 to the nearest integer?\nAnswer: 371","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: ((-2)\/4)\/((-201)\/(-5628))\nAnswer: -14","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -17*n**2 + 3872 + 3820 - 7654 to h + d*n**2 + w*n and give h.\nAnswer: 38","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: 1387562 divided by -2138\nAnswer: -649","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 5510 (base 7) in base 9?\nAnswer: 2625","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let q be -2 + -2 - -30*1. What is the highest common divisor of q and 65?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*k = b - 2 - 3, -25 = -5*b - 5*k. Let l = 1105 + -1103. Sort b, -5, l in increasing order.\nAnswer: -5, l, b","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (0 + 2 + 6)*(4 + 18*s - 1 - 3) to the form y*s + c and give y.\nAnswer: 144","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -31 - -450. Let y = -296 + u. Is y prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -28\/45 and 37\/25.\nAnswer: 225","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let l be 1 + 3 + (-1)\/1. Suppose 1 = 11*r - 43. Factor -2*q**3 - l*q**2 - q**2 + 44*q - 54*q - r*q**2 - 4.\nAnswer: -2*(q + 1)**2*(q + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x be -3 + (-2)\/(2\/1). Let g be 141\/27 + x\/18. Suppose g*c + 3 = 8. Let j(o) = o - 1. Let z(d) = -5*d + 3. What is c*z(r) + 4*j(r)?\nAnswer: -r - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (-3)\/24*3\/((-18)\/(-8)). Which is the second biggest value? (a) -0.5 (b) 2\/3 (c) -3\/2 (d) s\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -2264 and -208.3?\nAnswer: 471591.2","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0*j - j + 0*j)*(-4*j - 2*j + 21*j).\nAnswer: -15*j**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 34\/5 of a century in years?\nAnswer: 680","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (-6)\/(-1) + (2 - (-1 - -5)). Solve -r + 2 = l for l.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 12 in 2\/11, 0.83, -2, 875?\nAnswer: 0.83","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) 476 (b) -0.3 (c) 0\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 1839 - 22093\/12. Let q = -23523\/10 - -2346. Calculate the common denominator of q and j.\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(r) be the second derivative of -r**7\/14 - r**6\/10 + 42*r**5\/5 - 36*r**4 - 1802*r. Factor k(n).\nAnswer: -3*n**2*(n - 4)**2*(n + 9)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many decades are there in three fifths of a millennium?\nAnswer: 60","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of -360, -345, -320, -285, -240?\n\"Answer: 5*f**2 - 365","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let i(k) = -k**3 + 2*k**2 + 7*k + 14. Calculate the lowest common multiple of i(4) and 10.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -18 (base 10) to base 12.\nAnswer: -16","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -n - 3*k = -0*n - 36, n + k = 46. What is the remainder when n is divided by 26?\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: -167.09998 - -7760302\nAnswer: 7760134.90002","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 76515, 153255, 229995, 306735, 383475?\nAnswer: 460215","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -253702*t**2 + 84597*t**2 + 84535*t**2 + 84576*t**2.\nAnswer: 6*t**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = o - 7, 260*d = 249*d - o - o - 19 for d.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Convert 1288 (base 11) to base 6.\nAnswer: 11421","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (5\/2 + -2)*(6 + 20\/(-5)). Let h = 5 - 2. Let v(d) = -d + 1. Let q(n) = -4. What is h*v(r) + k*q(r)?\nAnswer: -3*r - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 17 + -8. Let w = -14 + s. Let h = -8 - -11. Which is the nearest to 1? (a) 3\/2 (b) w (c) h\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((c\/(c*c**1*c))**(2\/21))**(-16)*c**3\/c**2*c*((c**6*c)\/c)\/c*c*c*c**(-5) assuming c is positive.\nAnswer: c**(148\/21)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve 20*o + 33 + 7 = 0 for o.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 15095795?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Factor -3*b**2 - 1212*b - 1209.\nAnswer: -3*(b + 1)*(b + 403)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is -1 bigger than 431\/21440?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 3714.\nAnswer: 2, 3, 619","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 3404 and 24272?\nAnswer: 148","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let j(p) = p**2 + 17*p + 13. Let f be j(-14). Let h = 25 + f. Which is smaller: -16\/3 or h?\nAnswer: -16\/3","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: 18359 (base 14) to base 16\nAnswer: ee6b","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -36*o**5 - 25*o + 2*o - 132*o**5 + 66 - 64 wrt o.\nAnswer: -3360*o**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 1466 + -1462. Which is the nearest to -0.1? (a) -1\/4 (b) x (c) -4 (d) -2\/13\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*l - 3*h = 1 + 52, -l - 2*h - 29 = 0. Let t(g) = g + 22. Calculate t(l).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w be 0 - ((-9)\/3 - 3). Let o be w\/9 - (-8511)\/(-9). Let t be ((-84)\/o)\/((-4)\/10). What is the second biggest value in -5, t, 1\/3?\nAnswer: t","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 480 to the power of 1\/4, to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7*h + 3*h = -1004. Let w = 169 - h. Let z = -59 - w. Is z a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -5, 0, -180, 12, -87, 5, -25 in descending order.\nAnswer: 12, 5, 0, -5, -25, -87, -180","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 32*m = 35*m - 12, 34 = -5*b + m. Let u(v) = 12*v + 1. Let r(f) = 35*f + 4. Let n(s) = -4*r(s) + 11*u(s). Let j(t) = 7*t + 4. Calculate b*j(o) - 5*n(o).\nAnswer: -2*o + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve 33*x + 585 = -11*x - 21*x for x.\nAnswer: -9","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is -5 - -3799?\nAnswer: 3794","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*w - 9, 2*d + 5*w - 4 - 13 = 0. Let t be (-2 + 4 + d)\/1. What are the prime factors of 271\/t - (-9)\/(54\/4)?\nAnswer: 7, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -10844*0.02.\nAnswer: -216.88","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 380 and 8684691?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-7)\/(-14)*-1)\/(7*12\/1680).\nAnswer: -10","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -7*r + 7*r - 33*r to the form l + k*r and give k.\nAnswer: -33","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 36 and 60.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is 6 + -34342616?\nAnswer: -34342610","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 35342, 141219, 317682, 564731?\nAnswer: 882366","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is -101 (base 4) in base 16?\nAnswer: -11","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 3893?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -122466 in -2, -1, -5?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*x = -4*n - 8, 3*x + 9 = -n - 5 for n.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: 220\/198*-6*4\/30\nAnswer: -8\/9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 125\/664356 and 53\/168565236?\nAnswer: 1854217596","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 101361832 is divided by 12670228?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.00122305 to 4 dps.\nAnswer: 0.0012","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.06296218953 rounded to three decimal places?\nAnswer: -0.063","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2682650*c - 11 = -3*k - 2682648*c, -3*k + 3*c + 1 = -5 for k.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 55139*t**2*u + 85158*t**2 wrt u?\nAnswer: 55139*t**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 2058572 or 2058576?\nAnswer: 2058572","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve 180 = -5*f - 2*d + 193, 0 = -2*f - 4*d + 18 for f.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: How many weeks are there in 1531394.13 hours?\nAnswer: 9115.44125","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: ((-219*(-31)\/(-279))\/(-1))\/(-2*3\/(-18))\nAnswer: 73","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -552*51\/1224*-2.\nAnswer: 46","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand (4 - x**2 - 4)*(-6*x**2 + 14 - 14 + (-4 + 2 + 3)*(1 - 1 - 2*x**2)).\nAnswer: 8*x**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (4*i**2 + 0*i**2 - 2*i**2)*(-5*i**2 + i**2 + 2*i**2)*(0 + 3 + 1)*(1168 - 6526 - 15780) to the form n*i + l*i**3 + b + o*i**2 + a*i**4 and give a.\nAnswer: 338208","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let d be 68*(7\/(-4) + 2). Let s = 23 - d. Factor 18 - s + k**2 + 12*k + 3*k**2 - k**2.\nAnswer: 3*(k + 2)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Add together 3.5487204 and 3.\nAnswer: 6.5487204","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -59\/608 and (((-8)\/(-130))\/(25422\/(-47945)))\/((-4)\/(-3)).\nAnswer: 7904","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -2947042, -2947108, -2947174, -2947240, -2947306?\nAnswer: -2947372","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 49699 - 27988. What is the tens digit of m?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -2766 or 1.3321?\nAnswer: -2766","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 4 and 82.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 f when two letters picked without replacement from zzkfkzfzfqfkzzzf?\nAnswer: 1\/12","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: -3721 (base 8) to base 15\nAnswer: -8d6","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let s(g) = 8*g**2 + 18*g - 17. Suppose 3*u + 0*u + 2*o = -25, u - 4*o = -13. Is s(u) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 45037075 (base 8) to base 14.\nAnswer: 140c793","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -p**3\/4 + 13*p**2\/4 - 25*p\/2 + 14 = 0. Calculate p.\nAnswer: 2, 4, 7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -625 - -631. Let q be 216\/(-810)*z\/(-8). Which is the closest to -2.1? (a) 3 (b) q (c) -3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 4327 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let h(w) = 2*w**3. Let d(l) = 7*l**3 + 3*l. Suppose 3 = -4*n + 11, 3*u = 3*n - 30. Let f(q) = 20*q**3 + 8*q. Let k(b) = u*d(b) + 3*f(b). Give 9*h(v) - 4*k(v).\nAnswer: 2*v**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (1*(1 + sqrt(272) + 0 + -5)*-1)**2.\nAnswer: -32*sqrt(17) + 288","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 53 is divided by 8.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 1554 and 3006.\nAnswer: 778554","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 1393 - 662 + 618*m + 79*m - 731 to a*m + o and give a.\nAnswer: 697","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 3059 and 7245.\nAnswer: 161","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*z + 10 + 14. Calculate the greatest common divisor of z and 18.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 7402235?\nAnswer: 5, 43, 34429","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 56.18 + 41496.95?\nAnswer: 41553.13","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -2592, -2597, -2602, -2607, -2612, -2617?\nAnswer: -2622","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let m(x) = 2*x**2 + 23*x - 13. Let a be -18 - 0 - (-8 + 2). Give m(a).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {i: 12, b: 3}. Give prob of picking 2 i.\nAnswer: 22\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -10 = -4*i - 5*j + 30, j - 24 = -4*i. Suppose -3*o = i*b - 2*o - 10, -5*b - 20 = -5*o. What is the least common multiple of b and 7?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(z) = -921403*z - 1. Suppose 3*u = -4*p + 10, 4*u - p - 2*p = 30. Let q be x(u). Let y = q + 1328419. Round y to the nearest one million.\nAnswer: -4000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*t = h + t - 28, -4*t + 5 = -5*h. Suppose -3*m + 2*a - 139 = 6*a, m + 68 = h*a. Let o = m - -55. Solve r - 4 = o*r for r.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -69445524.42 rounded to the nearest one hundred thousand?\nAnswer: -69400000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:52 PM and 1:38 AM?\nAnswer: 526","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of -3 + (-7)\/((-21)\/36)?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 0.5 + -0.6. Let u = 0.04045 + -0.31045. Is v < u?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 349 is divided by 20?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Round -1506.6095 to the nearest integer.\nAnswer: -1507","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let c(l) = -l**3 + 26*l**2 - 46*l + 21. Let z be c(21). Is z at least as big as -0.1?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -3*j**3 - 20627*j**2 - 133153*j.\nAnswer: -18*j - 41254","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -2 - -2. Let h(q) = q**2 + 9. What are the prime factors of h(k)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-3*(3 + 1 + 5 + sqrt(325) + -2*(0 + sqrt(325))))**2.\nAnswer: -810*sqrt(13) + 3654","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 793737144?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let c be 0\/4 - 10\/(-2). Suppose 0 = 4*z - y - 171, z - 195 = -4*z - c*y. Let b = z - 37. Solve -b*v = 3*t + 18, 3*t + 4 = -t for v.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence yg when two letters picked without replacement from pogykpggoog.\nAnswer: 2\/55","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 1840 + -1132. Suppose k + g = 4*k. Suppose -16 = -4*y + k. What is the tens digit of y?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_test"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) -8\/11 (b) -2\/5 (c) -1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 119094091 to the nearest integer?\nAnswer: 492","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 604, 614, 646, 712, 824, 994?\nAnswer: 1234","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 20 - ((0 - -6) + 5).\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let w(s) be the second derivative of 3\/2*s**2 - 1\/20*s**5 + 5*s - 1\/4*s**4 + 0 - 1\/3*s**3. What is w(-3)?\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7*z - 21 = -4*h - 8*z, 8 = h + 3*z. What is the second derivative of -2*y**h + 107*y**2 - 22*y**2 + 136*y - 20*y**2 wrt y?\nAnswer: -40*y**3 + 130","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 3*t + 2 - 76*t**3 + 81*t**3 - 3*t + t to a*t + b*t**2 + u + j*t**3 and give a.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Expand -4 + 3*o + 4 + (5*o - 4*o + 0*o)*(-3 - 2 + 2)*((0 + 3 + 1)*(0 + 2 - 1) - 5 - 1 + 5).\nAnswer: -6*o","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (n**(-2\/7))**(-2\/33) assuming n is positive.\nAnswer: n**(4\/231)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-3 + -3 + -1 + sqrt(2592) + -1*(sqrt(2592) - (sqrt(2592)*-2 + 4)))**2.\nAnswer: 432*sqrt(2) + 10377","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of -809, -6515, -21995, -52133, -101813, -175919?\n\"Answer: -814*j**3 - 3*j**2 + j + 7","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: 2301112211 (base 4) to base 11\nAnswer: 456868","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -21704021539\/2587 - -8389649. Let v = f + -2\/199. Which is the biggest value? (a) v (b) 1 (c) -3\/5 (d) 0\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sum 0.005 and 2014834.856354.\nAnswer: 2014834.861354","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 l and 1 n when two letters picked without replacement from lhnununluu.\nAnswer: 2\/15","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Sort 41, -1, 4, 100, -3.\nAnswer: -3, -1, 4, 41, 100","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -z + 293 = w - 2*z, 5*w - z = 1477. Let m(s) = -296 - 2*s + w. Let t(q) = -7*q**2. Give m(t(h)).\nAnswer: 14*h**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -5151*y**5 + 4*y**2 - 798*y.\nAnswer: -309060*y**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let p(t) = t**2 - 3*t + 4. Let k be p(2). Let i be k\/(-5) + 18\/45. Let n be i\/(-1) + 0 + 2. Solve s = -0*s - n for s.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -4 + 6. Suppose -9 = -2*r + r + q*j, r = -5*j + 2. What is the units digit of r?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 414 and 90038238?\nAnswer: 138","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in 0.03, 0.06, -2\/21, -2?\nAnswer: -2\/21","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*a + 104 = -11*a. Let u(s) be the first derivative of -s**4\/4 - 4*s**3 + 5*s**2 - 31*s - 5. What is the least common multiple of u(a) and 5?\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(g) = 35 - 35*g + 17*g + 15*g. Let j be t(11). Suppose j*c + 21 = 3*p, 5*p + 6*c - 35 = 4*c. Solve 3*h = -5 - p for h.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 3 + sqrt(7) + -1 - -4*sqrt(175) - (3 + sqrt(56)\/sqrt(8) + -1*(sqrt(28)\/sqrt(4))**2).\nAnswer: 6 + 20*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: 54\/(-4)*(-138)\/(-207)\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {n: 15, e: 4}. Give prob of picking 1 e and 2 n.\nAnswer: 140\/323","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 0.8 - -0.2. Let a = y - 0.6. Sort a, 5, 0.3 in increasing order.\nAnswer: 0.3, a, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1077084 divided by 43?\nAnswer: 1077084\/43","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is -91486 (base 10) in base 12?\nAnswer: -44b3a","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (3 - (-54)\/(-14))\/((-3)\/21). Let q(p) = -7*p - 49. Let s(w) = -4 - 2 - 5 - w + 5. What is l*q(n) - 49*s(n)?\nAnswer: 7*n","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 39345655.711 - -9.\nAnswer: 39345664.711","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 365, 1906, 5459, 11828, 21817?\nAnswer: 36230","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let a(b) = 10*b**3 + 48*b**2 + 385*b + 1835. What is a(-5)?\nAnswer: -140","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Are -298322 and -298338 unequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -229*r + 2*a - 18 = -231*r, -3*r = -4*a - 34. Suppose 0 = 3*i + 2*i - 5. Let s(z) = 4*z**2 - 2*z + 10. Let p(b) = -1. Calculate i*s(w) + r*p(w).\nAnswer: 4*w**2 - 2*w","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 3 z when three letters picked without replacement from {z: 6, n: 12}?\nAnswer: 5\/204","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-2*-3*(-5 + ((sqrt(425)*2 + 2 - sqrt(425)) + sqrt(425) + -1 + sqrt(425)*2 - -1*6*(0 + sqrt(425)))))**2.\nAnswer: -14400*sqrt(17) + 1530576","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 1125*h*p**5 - 3*h*p**2 + 85*h*p + p**5 - 1 wrt p?\nAnswer: 67500*h*p**2 + 60*p**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 666 is divided by 28?\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 5*6*(-2 + 3 + (5 + -2*5*(sqrt(3888) + 1 - sqrt(3888)))**2).\nAnswer: 780","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -7*v - v + 288. Let c be 81\/v - (-3)\/36*-3. Solve -2*i + 2*d = -3*i + 5, 0 = c*i + 5*d - 10 for i.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 10070227 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) 3 (b) 1 (c) 3\/8 (d) 4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: 419 times -13915\nAnswer: -5830385","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let w(s) = -s**3 - 8*s**2 - s - 4. Let a be w(-8). Let f(t) = 1 - 2*t**3 - 3*t**2 + 5*t**3 + 1 + 3 + 3*t. Is f(a) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(n) = 26*n**2. Suppose -3*b - b + 2*t + 20 = 0, -b + 7 = -t. Let w(x) = -3*x**2 - x**2 + b*x**2. Give v(w(y)).\nAnswer: 26*y**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(70) + sqrt(70) + (sqrt(70) - sqrt(70)*-3) + sqrt(70))*5)\/(sqrt(60)\/sqrt(216)) + (0 + 1 + (sqrt(343) + 1)**2)*5.\nAnswer: 280*sqrt(7) + 1725","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-119)\/14)\/(-17)*40\/(-12).\nAnswer: -5\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -3919076, -3919080, -3919084, -3919088, -3919092?\nAnswer: -3919096","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -65*v**4 + 110*v**4 - 65*v**4 + (3 - 2 + 0)*(2*v**3 - v**2 + v**2)*(7*v + 2*v + 62*v) to n*v + c*v**4 + j*v**3 + i*v**2 + k and give c.\nAnswer: 122","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let g(b) = -19*b. Let j(x) = -14*x + 13. Give g(j(p)).\nAnswer: 266*p - 247","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 1105110555 to the nearest integer?\nAnswer: 1034","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 38.18 - 6.28. What is f rounded to zero decimal places?\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -91 - -88. Which is the nearest to 0.7? (a) -0.5 (b) 1\/2 (c) x\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many hours are there in 125.20674ns?\nAnswer: 0.00000000003477965","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -31413 or -31039?\nAnswer: -31039","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) 4 (b) -4 (c) -14\/229 (d) 2\/9 (e) -0.7\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of -57834163, -57834161, -57834159, -57834157, -57834155?\n\"Answer: 2*m - 57834165","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 1435 a multiple of 15?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Find f such that 3*f**2 + 30*f + 27 = 0.\nAnswer: -9, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -0.14 - 2.56. Let t = -2.6 - m. Which is the closest to 1? (a) -4 (b) t (c) -1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -463687*u**2 + 151*u + 613919430.\nAnswer: -927374*u + 151","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -89\/4800 and -127\/10560.\nAnswer: 52800","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 4*b + 17*b**3 + 6*b - 8*b**3 - b wrt b?\nAnswer: 54*b","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(m) = m - 21. Calculate a(-3).\nAnswer: -24","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*z = -z, -35 = -5*f + 5*z. Let p(n) be the second derivative of -7\/2*n**2 + 1\/12*n**4 - n**3 + 0 - 46*n. Determine p(f).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-4 - 2 - 6)*(-v + v + 2*v**2) to z*v + d + j*v**2 and give j.\nAnswer: -24","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -4 - (13 + -5 + (2 - 3)).\nAnswer: -11","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 35837?\nAnswer: 35837","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is -37 less than -6.207?\nAnswer: 30.793","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.0821 to 2 decimal places.\nAnswer: 0.08","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Express 10*q**2 + 13*q**4 - 9*q**2 + 0 + 1 as o*q**4 + k*q**2 + t + u*q + i*q**3 and give o.\nAnswer: 13","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 4\/2623 or 0?\nAnswer: 4\/2623","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let c(b) = 7*b**2 + b - 10. Let m(g) = 8*g**2 - 11. Let i(h) = -7*c(h) + 6*m(h). Let u = -7 + 3. What is the tens digit of i(u)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 1362868177?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 3\/10 of a millennium in months?\nAnswer: 3600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 5454 is divided by 1346.\nAnswer: 70","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (d**(4\/13)\/d)**(21\/4)*((d*d\/(d**(-3)\/d)*d)\/d)\/(d*d\/d**(2\/23)) assuming d is positive.\nAnswer: d**(541\/1196)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 12\/(-21)*3*((-4)\/8 + (-1155)\/(-2849))?\nAnswer: 6\/37","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -4254 (base 7) to base 15.\nAnswer: -6a9","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (1 + (sqrt(2299) + 1 + sqrt(2299) + sqrt(2299) + 0)**2)*-5 + (-5*sqrt(1539)*2 - (sqrt(1539) + -3)*-5)**2.\nAnswer: -64765 + 1020*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {u: 15, r: 5}. What is prob of picking 2 u and 1 r?\nAnswer: 35\/76","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 5 + 0 + ((sqrt(48)\/sqrt(4) + sqrt(12))*-4)\/(sqrt(294) + (sqrt(294)*1 - sqrt(294))).\nAnswer: -8*sqrt(2)\/7 + 5","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Express 15 + 6*b**3 - 15 + 2*b in the form m*b**2 + c*b + d*b**3 + k and give d.\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is -4eb5 - -50?\nAnswer: -4e65","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -104 = -264*i + 263*i. Let h = 874 - i. What is the units digit of h?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (3*n - 7*n + 3*n)*(15*n - 48 + 48)*(4 - 9 - 1) as k + d*n + h*n**2 and give h.\nAnswer: 90","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*d + x - 13, x - 9 + 4 = -d. Suppose -3*a = -12, -4*s + s - d*a = -13. Are -3 and s nonequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is 212 + 184d19?\nAnswer: 184f2b","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: (-2)\/((16\/(-3))\/8)\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 2184.85512ms in weeks?\nAnswer: 0.000003612525","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Express 69*p + 6 + 142*p - 5 in the form r + b*p and give b.\nAnswer: 211","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 201 and 9?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is -13518831 divided by 4506277?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-208)\/(-65))\/(10\/(-50)).\nAnswer: -16","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let m be 48\/(-84)*1\/2. Which is smaller: m or -0.01?\nAnswer: m","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 31\/5760 and 113\/1555200.\nAnswer: 1555200","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 28.19 + -28. Let q = -10.19 + k. Let w = q + 11. What is the nearest to w in 2\/17, -1\/6, 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (0 - 2) + (7 - 2).\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -t + 0*t + t + 0*t - 2*t.\nAnswer: -2*t","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: How many years are there in fourty-four fifths of a millennium?\nAnswer: 8800","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -88 divided by 4.\nAnswer: -22","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let c(y) = y + 6. Give c(-4).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is (-1 - 1) + 3 - (2 + 1)?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 690 minutes before 12:32 AM?\nAnswer: 1:02 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 210 - 89 - (-6)\/12*-22.\nAnswer: 110","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Express -32*t - 153*t + 42*t + 13*t**2 - 9*t in the form x*t**2 + c + l*t and give x.\nAnswer: 13","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is 5349699 a multiple of 1041?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -2\/401 in 1\/9, 0.4, -92, 3?\nAnswer: 1\/9","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 8499562?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let -1581228*v**2 + 92928*v - 4096\/3 = 0. What is v?\nAnswer: 32\/1089","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: -550.61 - 9\nAnswer: -559.61","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 222611 and 43?\nAnswer: 43","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the seventh root of 53354 to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 137 minutes after 11:07 AM?\nAnswer: 1:24 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 13642732?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is 9 > 76\/9?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (-2)\/4 + 0 + 2. Let x = -222645 - -1558509\/7. What is the closest to 7 in x, -0.06, 1\/2, h?\nAnswer: h","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -44*((-8)\/16 - 0) a multiple of 4?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(l) = -5*l. Let k(o) = 10336*o + 9475*o - 18670*o. Calculate u(k(m)).\nAnswer: -5705*m","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -n + 2*n = -5*k + 27, -13 = -4*n - k. Solve n*b + 2 = -8 for b.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 8.8 - -27.2. Let x = 36 - q. Let u = 301 + -294. Which is the second biggest value? (a) u (b) x (c) 0.5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -32*q*v*x + q*v - 988817203*q*x + 366*v*x - 152*v wrt v.\nAnswer: -32*q*x + q + 366*x - 152","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 17875 + -17807. What is the second smallest value in 1\/7, q, 1, 2\/7, -5?\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 4? (a) -3 (b) 0.07 (c) 2 (d) 3\/17\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Convert -62a64 (base 12) to base 8.\nAnswer: -374554","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 773062384 a multiple of 46?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let u(t) = -t**3 - 4*t**2 - 3*t - 3. What is the remainder when 27 - (-1 + 1 + 1) is divided by u(-4)?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of 33065, 33781, 34973, 36641, 38785, 41405?\n\"Answer: 238*p**2 + 2*p + 32825","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let t(s) = s**2 - 4*s - 1. Let x(z) = -5*z**2 + 28*z + 51. Calculate 6*t(h) + x(h).\nAnswer: h**2 + 4*h + 45","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of 13, 4, -19, -62, -131, -232, -371?\n\"Answer: -g**3 - g**2 + g + 14","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 130477 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: -1 - (-5 - -1) - (-9 + 12)\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*a = -0*a. Suppose a = -4*w - w + 10. Suppose -32 = -4*o - w*z + 10, -5*z = -5*o + 15. What is the remainder when o is divided by 5?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 9\/15*(-1330)\/1995.\nAnswer: -2\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let t(g) be the first derivative of -g**4\/12 - 2*g**3\/9 - g**2\/6 + 6. Factor t(r).\nAnswer: -r*(r + 1)**2\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*x + 2*x - x)*(13*x**2 + 52*x**3 - 13*x**2) + (-3 + 2*x**3 + 3)*(2*x - 2*x + 2*x).\nAnswer: -48*x**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -1195926427580989 - -1195926363934477.60000045. Let k = d + 63646513. Let t = -1.6 + k. What is t rounded to 7 decimal places?\nAnswer: 0.0000005","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l be 184 + 2\/2 - (0 - 2). Suppose 2*x - 94 = 2*a, -l - 11 = -4*x + 2*a. List the prime factors of x.\nAnswer: 2, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*d - 5170724 = -21064376. Let y = d - 25636906. Let a = -8439022 - y. What is a rounded to the nearest 1000000?\nAnswer: 12000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 3287114 + -3287110.899999. Let x = 3.1 - m. Round x to five decimal places.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 0 by 20846.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 313 minutes after 4:58 PM?\nAnswer: 10:11 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (30 + 2*m + 0*m - 26)*(7*m + 29*m + 24*m)*(4 - 2 - 4)*(-3 + 3 + 1)*(1 + m - 1) to b*m**2 + n*m + w + l*m**3 and give w.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is -68874 - -13?\nAnswer: -68861","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is 52752253 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Factor -4*z**3 - 32*z**2 - 60*z.\nAnswer: -4*z*(z + 3)*(z + 5)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*t - f + 5 + 0 = 0, -t - 4*f - 10 = 0. Let j(v) = v + 1. Suppose 2*u = -d + 3, 0 = -u - 2*d + 3 - 0. What is the remainder when j(u) is divided by t?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the eighth root of 184433060 to the nearest integer?\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -58\/15 - -197\/60. Which is smaller: 0 or u?\nAnswer: u","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (-2)\/(-11) - 828\/(-44). Suppose -4*u + 63 = o. What is the greatest common divisor of 55 and u?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 2683 is divided by 1104?\nAnswer: 475","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is 14802058159 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let u(m) = -2*m**2 + 42*m + 1. Let y(k) = 4*k**2 - 83*k - 2. Suppose 37*j + 11499 = 11314. Determine j*u(r) - 3*y(r).\nAnswer: -2*r**2 + 39*r + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(2) + 3*sqrt(72) + sqrt(2) + sqrt(8) + -3)*-5)**2.\nAnswer: -3300*sqrt(2) + 24425","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 247, 495, 743, 991?\nAnswer: 1239","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let h(n) be the second derivative of 27\/2*n**2 + 0 + 15*n**3 - 156*n. Let p(l) = 7*l + 2. Give -2*h(w) + 27*p(w).\nAnswer: 9*w","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: How many months are there in seven sixths of a millennium?\nAnswer: 14000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -147043008*a**4*g*l**3 + 32*a**2*g*l + 76*a**2*g + 3*a**2*l**2 - 732*a*l**3 wrt a.\nAnswer: -3529032192*a*g*l**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 43 divided by -84.\nAnswer: -43\/84","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Put -6, 5, -2, 7, -178 in decreasing order.\nAnswer: 7, 5, -2, -6, -178","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 459 - 457. Factor 2\/3*r**4 + 0*r + 0*r**c + 0 + 0*r**3.\nAnswer: 2*r**4\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w be -1 - (-1 + 2 + -4). Let v be 8 - -4*12\/(-16). Suppose -v*i - 21 = w*f, 5*i + 15 = -10. What are the prime factors of f?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-2*x**2 + 0*x**2 + x**2)*(2 - 4 + 1) - 8*x**2 + 9*x**2 - 13*x**2 + (-3*x - 2*x + 2*x)*(-2*x + x + 0*x) to the form l*x**2 + n + b*x and give l.\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:03 AM and 6:13 PM?\nAnswer: 670","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*g = 7*g - 8. Let t(s) = -s**3 + 3 - 3*s**2 - s**g + 0 - 16*s + 13*s. Let h be 15\/(-12)*3 - (-9)\/12. Calculate t(h).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:30 AM and 11:38 AM?\nAnswer: 488","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 1*(-15)\/10 - -2?\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -1 + 1. Suppose -2*d = -3*s - r*d + 5, 2*s - 5*d + 4 = 0. Let b(x) = -9*x + 2. Let w(k) = -4*k + 1. Determine s*b(t) - 7*w(t).\nAnswer: t - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -21088 - -21088. Put -1\/4, 2, 7, t, -2\/17 in descending order.\nAnswer: 7, 2, t, -2\/17, -1\/4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 699 - 1294. Let j = r - -595.0251. Round j to 3 decimal places.\nAnswer: 0.025","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 2547872?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let o(k) = 7*k**2 - k + 1. Let q be o(1). Suppose d = -q*d - 0*d. Factor -2\/7*n**3 + 2\/7*n**2 + 0 + d*n.\nAnswer: -2*n**2*(n - 1)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*p = 2*x + 9, -14*x = -11*x - p - 14 for x.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 1568, 1485, 1274, 875, 228?\nAnswer: -727","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*s = 2*w - 7392035, 13*s + 11088091 = -13*w + 16*w. What is w rounded to the nearest 10000?\nAnswer: 3700000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(s) = -44*s - 2081. Let c be w(-49). What is the greatest common factor of c and 3255?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 34127233 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 1502654 or 1502657?\nAnswer: 1502657","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -50*x - 478 - 22 for x.\nAnswer: -10","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -61462*f**2 - 33628*f**2 + 54243*f**2 - 137912*f**2.\nAnswer: -178759*f**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 14 + -24. Let p = 0 + 9. Let l = a + p. Is l greater than -1\/4?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*k = 6*k - 18 - 72. Solve 1 = -n, 2*w + k = 4*w + 2*n for w.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*z + 21 = -3*z. Calculate the remainder when 11 is divided by z.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 127*t - 7985*t - 447 + 447 in the form a*t + v and give a.\nAnswer: -7858","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: 8 divided by 151\nAnswer: 8\/151","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -4 - 2. Let t = u - -12. What are the prime factors of t?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i be 20\/(-12)*((-3 - 3) + 3). Suppose 5 = 5*f, 0 = -2*o + 5*o - i*f - 391. What is the units digit of o?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s be ((-6)\/4 - 0\/(-18))\/((-39)\/(-7514)). Let i(x) = -291*x**2 + x + 1. Let l be i(-1). Which is smaller: s or l?\nAnswer: l","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (-4)\/((-2)\/(-20)*4). Calculate the smallest common multiple of (-16)\/g - 12\/20 and 7.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -5 or -2.2?\nAnswer: -2.2","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in 1\/6, -5, 4\/7, -15?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 23008 to the power of 1\/2, to the nearest integer?\nAnswer: 152","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is 1070747 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Work out 49 - 4200816272.\nAnswer: -4200816223","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Add together -0.0149546 and 93.094656.\nAnswer: 93.0797014","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 39628.\nAnswer: 2, 9907","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Sort -4, -1, 81, 5 in descending order.\nAnswer: 81, 5, -1, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let d(i) = i + 1. Suppose 9*o - 25 + 70 = 0. Calculate d(o).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 i, 1 y, and 1 g when three letters picked without replacement from {s: 1, f: 1, g: 1, i: 1, y: 1, q: 2}?\nAnswer: 1\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 978 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: Simplify (((p\/p**(-6\/13)*p**5)\/(p\/(p**(-6)*p*p)*p*p*p**1*p*p))**29)**(-3\/10) assuming p is positive.\nAnswer: p**(2001\/65)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Convert -35 (base 8) to base 3.\nAnswer: -1002","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let k(i) = -96*i + 2. Let n(f) be the third derivative of -f**5\/30 + 2*f**2 + 115*f. Determine n(k(u)).\nAnswer: -18432*u**2 + 768*u - 8","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let z be 6\/(-4) - (50\/(-20) - 1). Suppose z*d + 5*b - 10 = d, 5*d - 4*b = -8. Solve d*t = -2*t - 2 for t.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_test"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence pinq when four letters picked without replacement from qiqnvqnqqiqqqpqvn.\nAnswer: 9\/9520","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (2 + -2*-1*sqrt(2)*2)**2*-4.\nAnswer: -144 - 64*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*o + o + 8. Let h = -2 + o. Let f(m) = m**2 + m. Let j be f(-2). Solve 4*p - j = h for p.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is h in 5*h**2\/2 - 2199*h\/2 - 220 = 0?\nAnswer: -1\/5, 440","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is -16335921 rounded to the nearest ten thousand?\nAnswer: -16340000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 120 minutes after 1:46 PM?\nAnswer: 3:46 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Express -3*t - 5*t - 3*t - 681 + 113*t + 681 + (-2 + 5 - 4)*(0 + 0 + 2*t) + 0 - 6 + 3 + 3*t as r*t + w and give w.\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -93947493*f**6 - 263*f**2 - 2*f + 7872.\nAnswer: -11273699160*f**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Factor -n**2 - 33317560*n - 277514951088400.\nAnswer: -(n + 16658780)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 7436 and 143?\nAnswer: 143","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-10044)\/72)\/((-9)\/2).\nAnswer: 31","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (6\/15)\/(18\/15). Let p = 36267 + -36270. Which is the nearest to 0.1? (a) 1 (b) p (c) k\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -20 + 2*j - 23 + 12*j.\nAnswer: 14*j - 43","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let p(c) = c**2 + c + 1. Let q(f) = 19*f**2 + 7*f + 6. Let h(s) = -6*p(s) + q(s). Let b = 29 - 28. List the prime factors of h(b).\nAnswer: 2, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 713 and 13.\nAnswer: 9269","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: (31 - -40) + -43 - (-74 + 2)\nAnswer: 100","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 2193089 + 4.21.\nAnswer: 2193093.21","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Put -2, -4, 13, 5, 21, 0 in increasing order.\nAnswer: -4, -2, 0, 5, 13, 21","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (a\/a**(1\/2)*a)**(8\/11)\/(a**(2\/11)\/a*a*a**(-4)) assuming a is positive.\nAnswer: a**(54\/11)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 528.\nAnswer: 2, 3, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -753.81 + 767. Let v = d + -13. Let r = v + -0.167. What is r rounded to two dps?\nAnswer: 0.02","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 4412, -14, -0.3, -0.11.\nAnswer: -14, -0.3, -0.11, 4412","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -2*a**2*i**3 + 173*a**2*i**2 - 11262*a*i**6 - 124*i**2 wrt i.\nAnswer: -12*a**2 - 1351440*a*i**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of (-65)\/(-39) - 35\/588*38 and 13\/2380.\nAnswer: 7140","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 482 + -579 - (-28 + -5) - (-14 + -1)?\nAnswer: -49","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is -343542 (base 6) in base 3?\nAnswer: -1111021122","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 25 a factor of 4450925?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*o - 32 = -2*x - 3*x, -4 = o. Suppose -x*y - 17*y = -275. Calculate the remainder when 106 is divided by y.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -31\/149622 and 35\/297.\nAnswer: 1346598","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 2\/31? (a) -1\/4 (b) 7 (c) 3\/8\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (-250)\/(-6) + -4*7\/(-84). Let z = k - 40. Solve -a + 25 = -3*c - z*c, 4*a = -c + 16 for c.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-2025)\/25)\/(-9)*-1?\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let n(j) = -j + 6. Let y be n(-2). Suppose -y*k = -9 + 9. Let u(i) = -i**3 + i**2 - i + 2. Calculate u(k).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in -3\/5, -5\/3, -2\/11, 5, 3\/29?\nAnswer: -2\/11","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Express -149*z + 1974*z**2 + 316*z - 6779*z**2 - 167*z as b + j*z**2 + d*z and give j.\nAnswer: -4805","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_test"},"subset":"dm_maths"} +{"text":"Question: Let q = -248 - -325. Suppose 0 = -18*i + 13 + q. Let n(m) = m**3 - 2*m**2 - 2. Let k = 2 + -4. Let g(s) = 2*s**3 - 5*s**2 - s - 4. Determine i*n(w) + k*g(w).\nAnswer: w**3 + 2*w - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -4 + 4 + 268*i**2.\nAnswer: 268*i**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is u in -4*u**4 - 32364*u**3 + 1038800*u**2 - 7666704*u + 11437184 = 0?\nAnswer: -8123, 2, 8, 22","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 2466 and 22.\nAnswer: 27126","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let m(x) = -x**3 + 41*x**2 - 110*x + 2460. Determine m(40).\nAnswer: -340","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from oorqqoqookoqqqqoqkq. What is prob of picking 2 k and 1 q?\nAnswer: 3\/323","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let q(i) = -27*i**2. Let j(k) = 12*k. Determine j(q(v)).\nAnswer: -324*v**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let i(l) = -7*l - 37. Let d be i(-6). Suppose 0 = 2*q - 4*t - 30, -d*q - 4*t + 40 = -7*t. Solve w + 4 = q*w for w.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -7.52 or 13?\nAnswer: -7.52","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*y + 88 = -0*y. Suppose -5*j + 103 = -y. Suppose -5*f - 2*k = -7*k - j, -f = -5*k - 17. What is the units digit of f?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 374 and 66646613.\nAnswer: 187","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -50\/3 and (-2*6\/48)\/((-5)\/275).\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -88630571*m + 88630571*m - 152*m**2.\nAnswer: -152*m**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 213 and 57297.\nAnswer: 213","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 12 minutes after 2:11 PM?\nAnswer: 2:23 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is (34\/85*5)\/(8\/(-2680)*10)?\nAnswer: -67","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve -494492*p = -494576*p - 168 for p.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 163930*v + 10 - 10 - 163930*v - 178*v**3.\nAnswer: -178*v**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -1 or 59499?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*g**3 - 6*g**2 + 20*g.\nAnswer: -2*g*(g - 2)*(g + 5)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: -12 - ((-343)\/(-7) + -73)\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Put 3, 1218, -1, 8 in increasing order.\nAnswer: -1, 3, 8, 1218","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Find w such that 29*w**2\/8 + 1675657*w\/8 + 57781 = 0.\nAnswer: -57781, -8\/29","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 2165085 and 585.\nAnswer: 585","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let j(p) be the first derivative of p**5\/30 - 3*p**2 + 11*p + 88. Let z(w) be the second derivative of j(w). Let v(g) = 31*g**2 - 1. Determine z(v(k)).\nAnswer: 1922*k**4 - 124*k**2 + 2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Expand (1668*x - 1395*x - 1267*x)*(2 + 7 - 6).\nAnswer: -2982*x","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 23563.\nAnswer: 23563","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 4419188 to the power of 1\/3, to the nearest integer?\nAnswer: 164","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Express -3*o**3 - 3 + 2*o - 4*o + o**3 + 3*o**3 as m*o**3 + l*o**2 + z*o + b and give m.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 79*t**2 + 242 wrt t?\nAnswer: 158*t","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Sort 10, -5\/3, -3, 5, 0.\nAnswer: -3, -5\/3, 0, 5, 10","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let y be 180*((-24)\/(-9) - 1) - 0. Let w = -220 + y. Is w a multiple of 20?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 4965.956l to millilitres.\nAnswer: 4965956","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let f be ((-2)\/5)\/(6\/(-30)). Solve 5*k + 14 = -3*x, 3*x - f*x = 3*k for x.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -59\/504 and 101\/420?\nAnswer: 2520","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let y(z) = z + 8. Let w be y(7). Let o be 12\/w*10\/4. Let l be (0 - (o - 4))*1. Solve 0*j - l = 2*j for j.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of 333986, 1335860, 3005644, 5343338, 8348942, 12022456, 16363880?\n\"Answer: 333955*y**2 + 9*y + 22","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is 8268 + -3b8?\nAnswer: 7a70","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3 = 5*v - 2. Suppose 5*n = -4*t + 38, -v = -n + t + 3. Suppose 4*d + 4 = 4*o - d, n = -o + 3*d. Solve -j - b + o*b = 3, -b = 2*j + 6 for j.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(i) = -27*i + 21. Let g be c(1). What is the hundreds digit of 1\/(g\/165)*-32?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (-4*y - 2*y + 5*y)*(10061 - 10061 + 366*y)*(12*y + 0*y - 3*y) as x + s*y**3 + l*y**2 + a*y and give s.\nAnswer: -3294","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let a(s) = -s - 2. Let b be a(-9). Solve 2*l - b*l = 25 for l.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: 382 divided by 2\nAnswer: 191","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let b(f) = f**3 - 9*f**2 + 4*f + 29. What are the prime factors of b(13)?\nAnswer: 757","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 12620241?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-2*sqrt(616)\/(sqrt(11) + sqrt(121)\/(sqrt(44)\/sqrt(4))))\/((2*sqrt(16)*1 + sqrt(16))\/(5*sqrt(2)*1)).\nAnswer: -5*sqrt(7)\/3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 0.32 - 0.32. What is the nearest to 0.2 in a, -3\/13, 1?\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:40 PM and 7:05 PM?\nAnswer: 325","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of 21757, 44140, 66523, 88906?\n\"Answer: 22383*p - 626","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (-339215 + -2)*((-237)\/(-234) + -1). Let n = 4349 + w. Find the common denominator of n and 45\/16.\nAnswer: 624","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(a) = a**2 - 2*a - 1. Let p be j(4). Suppose -k = -24 - 34. Let n = k + -56. Solve n*v - 31 = -3*h + p*v, -5*h = 2*v for h.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*b - 22 - 64 = 3*d, -76 = 3*d - 2*b. Let q be d\/14 + 6\/(-14). Is q + 22 - 2\/2 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -40*s**5 + s**2 - 170*s wrt s?\nAnswer: -800*s**3 + 2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let x be -1 + 25\/72*3. Let h(m) be the third derivative of -2*m**2 + 0 + x*m**4 + 1\/15*m**5 - 1\/2*m**3 - 1\/120*m**6 + 0*m. Determine h(4).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -19*y + 14*y = -3*f - 639, 4*f = y - 138. Let a be (-20)\/y - (-16)\/36. What is t in 18\/7 + 2*t**2 + a*t**3 + 30\/7*t = 0?\nAnswer: -3, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -27029500 rounded to the nearest 1000000?\nAnswer: -27000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is -18 + -1241?\nAnswer: -1259","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let p(v) = 10*v + 6. Let n(k) = 3*k + 24. Determine n(p(g)).\nAnswer: 30*g + 42","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 256.2 - 256. Which is the second smallest value? (a) f (b) -8 (c) 1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth root of 1968112872 to the nearest integer?\nAnswer: 72","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*r + 2*v - 5*v - 15, -5*v - 2 = r. Find the third derivative of -2*n**2 + n**2 + 2*n**r - 4*n**3 wrt n.\nAnswer: -12","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*h - 9 = 3*n, -h + n + 298 + 293 = 3*n + 597 for h.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -1 in -0.3, 5, 6, 0?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let y(o) = -o. Let k be y(-1). Let b(t) = -t - 2. Let s(m) = -m + 2*m + 2*m - 2*m. What is k*b(g) + 2*s(g)?\nAnswer: g - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 e and 1 b when three letters picked without replacement from weeeb?\nAnswer: 3\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let -4*m**4 + 351*m**3 + 4008*m**2 + 980*m = 0. What is m?\nAnswer: -10, -1\/4, 0, 98","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let h(p) be the first derivative of p**4\/4 + 5*p**3\/6 + p**2\/2 + 7. Let s(m) be the second derivative of h(m). Differentiate s(n) with respect to n.\nAnswer: 6","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 0.019 - -2.781. Let y = -2.1 + 1.3. Let o = y + x. Sort 1\/6, o, -0.3 in increasing order.\nAnswer: -0.3, 1\/6, o","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 91\/192 and -143\/198408.\nAnswer: 1587264","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -0.1? (a) 70 (b) -0.4 (c) 3758 (d) 2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 2874, 4476, 4824, 3918, 1758?\nAnswer: -1656","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*k - 4 = -16*p + 18*p, 0 = 3*p + 22*k + 6*k - 96 for p.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: How many weeks are there in 105575.4ns?\nAnswer: 0.0000000001745625","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let q(n) = n**3 - 4*n**2 + n + 9. What is q(0)?\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence hv when two letters picked without replacement from {r: 2, k: 4, v: 2, h: 2}.\nAnswer: 2\/45","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1\/((-70)\/(-20)*16\/168).\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Product of 15 and 1442107.\nAnswer: 21631605","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -10 + 9.86. Let j = -14.36 + 14.66. What is the second smallest value in -0.1, -1\/3, j, z?\nAnswer: z","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 303 minutes after 4:55 AM?\nAnswer: 9:58 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (-5 - -4) + (-867*1)\/(-3). Suppose 0 = -283*t + s*t. Factor -8\/11*q**3 + 32\/11 + t*q**2 + 32\/11*q - 2\/11*q**4.\nAnswer: -2*(q - 2)*(q + 2)**3\/11","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 6492443 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Put 6675\/7, -0.3, -1\/3, -86, 5, -9 in descending order.\nAnswer: 6675\/7, 5, -0.3, -1\/3, -9, -86","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 0.22 + 4.78. Let n = -0.4 + 1.4. What is the nearest to n in -3\/8, c, -0.3?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 21060518 to the nearest integer?\nAnswer: 4589","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let m(w) = 2*w**2 - 12*w + 189. Calculate the remainder when m(8) is divided by 113.\nAnswer: 108","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {c: 3, p: 2, h: 3, w: 6, r: 2}. Give prob of sequence hr.\nAnswer: 1\/40","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Expand 26*s - 20*s - s**3 - 13*s + (-2*s**3 - 5*s**3 + 3*s**3)*(0 - 7 + 2).\nAnswer: 19*s**3 - 7*s","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 3*j - 923*j**3 - 3*j.\nAnswer: -923*j**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Divide -8 by -1110282.\nAnswer: 4\/555141","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let o(x) = 3*x**2 - 5*x**2 - 305 + 149 - 33*x + 142. Let i(q) = -q**2 - 16*q - 7. Let t(r) = -5*i(r) + 2*o(r). Determine t(-6).\nAnswer: -41","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 49355732 a multiple of 2253?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_test"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -2 in -4, 3\/5, 25?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 13 = 4*k + v, -15*v + 11*v + 50 = 15*k for k.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 37 + 7 + 15 + 2*i + 14.\nAnswer: 2*i + 73","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (p*p**(-13\/2)*p*p**(2\/131)*p*p*p)\/(p**(-33)*p**(-2\/69)) assuming p is positive.\nAnswer: p**(570257\/18078)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {r: 1, s: 1, t: 2, u: 1, f: 1, z: 1}. What is prob of picking 1 f, 1 z, and 2 t?\nAnswer: 1\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (4*sqrt(1152)*-4)\/(-2*sqrt(864)*-1 + sqrt(864)).\nAnswer: -32*sqrt(3)\/9","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 3234198598.\nAnswer: 2, 3719, 434821","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let t(j) = j**3 - 5*j**2 + 3*j + 1. What is t(5)?\nAnswer: 16","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -10*r = -7*r - 3. Solve 29 = -5*h - 4*u, r = -2*h - u - 10 for h.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in -0.2, 0.013, -4402?\nAnswer: 0.013","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 272 and 8?\nAnswer: 272","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 3548, 14214, 32004, 56930, 89004, 128238, 174644?\nAnswer: 228234","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*m = -2*q - 51410996, -59*m - 51410984 = -56*m + 8*q. Round m to the nearest 1000000.\nAnswer: -17000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*x = -5*x + 3. Let f = -12 + 7. Let k = f + x. Sort -0.2, 1\/5, k in increasing order.\nAnswer: k, -0.2, 1\/5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(s) = -116*s - 1403. What is b(-12)?\nAnswer: -11","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let q(l) = -l**3 - 11*l**2 + 10*l - 12. Let b be q(-12). Let u(r) = r**3 - 13*r**2 + 13*r + 22. Let x be u(b). Suppose x = m - 4. Does 24 divide m?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -9*14\/(-63) - 7.\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: 157\/6 - 78*(-53)\/(-24804)\nAnswer: 26","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: How many nanograms are there in 11\/2 of a microgram?\nAnswer: 5500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 749415 is divided by 374706?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let y(z) = -z**2. Let r(u) = -61*u + 59*u + 15*u**2 + 16*u**2. Let d(o) = 1177*o**2 - 77*o. Let k(w) = 2*d(w) - 77*r(w). Calculate k(y(j)).\nAnswer: -33*j**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence vi when two letters picked without replacement from {i: 4, v: 1, t: 2}?\nAnswer: 2\/21","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -0.1? (a) -3 (b) 0.12 (c) 754753 (d) 3\/5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-4*i + 1 + 4 - 7)*(-4361 + 4361 - 1389*i + (1 + 2 - 1)*(2*i + 0*i - i)).\nAnswer: 5548*i**2 + 2774*i","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((n*n*n*n**0)**(9\/7)*(n*n*n**(8\/5)*n)\/((n*n*n**(-1\/5)\/n*n)\/n))\/(n*n\/(((n**(4\/3)\/n)\/n)\/n)*n**0*n*n**(-1\/9)*(n*n**8\/n*n)\/n) assuming n is positive.\nAnswer: n**(-1543\/315)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let l(b) be the third derivative of b**6\/240 + 11*b**5\/120 + 35*b**4\/48 + 25*b**3\/12 + 2*b**2. Factor l(g).\nAnswer: (g + 1)*(g + 5)**2\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(m) = -2*m**2 + 0*m**2 + m**2 + 2*m**2 - 4 + m. Let w be a(3). Solve -4*u + w = 4 for u.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 37 - 93. Let z be 16\/120 - p\/30. Solve -z = 2*b - b for b.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: ((-8)\/(-19))\/(1140\/(-855))\nAnswer: -6\/19","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*t - 3*t = -30. Suppose -2*w + 0 = 3*i + 16, -t*w - 23 = -i. Is 6 a factor of (59 - 13)*(-1)\/i?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 7721126 divided by 7721126.\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is 5 + -2093?\nAnswer: -208a","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -132 = -25*i + 22*i. Is i a multiple of 11?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) -0.5 (b) -0.27 (c) 18.8 (d) -5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from rmhjmqv. What is prob of picking 1 h and 1 q?\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -945 + 945. Solve q*d = d - 2 for d.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*c - 3 = -0*c. Suppose -3*v - 4 = -c. Which is smaller: 1\/4 or v?\nAnswer: v","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (x**5*x\/(x*x\/(x\/(x*x**(-8))*x)*x))**(-1\/47) assuming x is positive.\nAnswer: x**(-12\/47)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose m**3\/3 + 48863*m**2\/6 + 49739480*m - 24871776 = 0. Calculate m.\nAnswer: -12216, 1\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 636 and 22?\nAnswer: 6996","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Divide 150 by 2.\nAnswer: 75","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of 25, 28, 31, 34, 37, 40?\n\"Answer: 3*a + 22","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 42\/(-30)*(-28)\/(-98)?\nAnswer: -2\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.000451 rounded to 5 dps?\nAnswer: -0.00045","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 103299\/20 - 5166. Find the common denominator of 1\/20 and v.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -181*j + 185*j - 16. Let q(o) = -o**2 + 6*o - 4. Give q(j).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 4394 and 507?\nAnswer: 169","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -d - 4 = -3. Let z = -66 - -323\/5. Which is smaller: z or d?\nAnswer: z","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m be -1 - 1\/((-1)\/1). Let t be (0*(-3)\/(-9))\/2. Let h be (-1 - t)*(-1 + 0). Solve m = x - h for x.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 4*v**3 + 1847 - 1847 + 12*v**3 - 2*v**3.\nAnswer: 14*v**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*w - 16 = -4*w. Suppose 0 = -3*p + 6*p - 6. Suppose 0 = 5*s + 5*v - 20, -s + 8 - 3 = p*v. Which is smaller: w or s?\nAnswer: s","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 4374 + -4375. Which is the closest to u? (a) -1 (b) 0.1 (c) -3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-129)\/172)\/(5\/15*(-4)\/(-32)).\nAnswer: -18","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let u(b) = b**2. Let n(k) = k + 2. Let l(o) = -2*o - 6. Let m(r) = -2*r - 5. Let h(f) = 2*l(f) - 3*m(f). Let y(c) = -2*h(c) + 3*n(c). Calculate y(u(g)).\nAnswer: -g**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (45\/(-6) + 8)\/((-2)\/(-44)). Solve 96 - 52 = -g*r for r.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h be 7 - (4\/(-4) - -5). Which is the nearest to 1? (a) 1\/6 (b) 4 (c) h\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of (7 + (-81)\/9)*258\/(-4) and 21?\nAnswer: 903","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 400\/63 - 46\/7. Which is the biggest value? (a) y (b) 1\/2 (c) -3 (d) 2\/21\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -8093 times 2?\nAnswer: -16186","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let y(x) = -x + 15. Let s be y(8). Solve 5*l - 27 = -s for l.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 152293 = 34*u - 144663. What are the prime factors of u?\nAnswer: 2, 11, 397","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in -10\/3, -2\/19, 1\/15, 4\/29?\nAnswer: -2\/19","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (-2)\/11 - (-354)\/11. Suppose -5*k = -k + b. Let o be 1 - (-1 - (0 - k)). Solve -x - x = o for x.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -8*w + 4*t + 28 = 0, -28*t - 300 = 3*w + 7*t - 4*t + 2*t for w.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*r - 12 = -5*c, 4 = 2*c - 3*r - 16. Suppose 112 = c*i - 0. Suppose -i = -b - 3. Calculate the remainder when b is divided by 14.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -131*n + 880072 = -39*n. What is the hundreds digit of n?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -30*g - 25 = -35*g. What is the third biggest value in 1\/3, g, 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 1072 and 1296?\nAnswer: 86832","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Sort -4.6, 1\/22, 0.3, -1.6, -5 in increasing order.\nAnswer: -5, -4.6, -1.6, 1\/22, 0.3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let o(u) = -83*u + 1175. Give o(16).\nAnswer: -153","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*f - 4*v - 58 = 38, -4*f = -2*v - 118. What is the units digit of f?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(r) = 71*r**2 + 75*r**2 - 144*r**2. Let c(o) be the first derivative of -5*o**2\/2 + 1. Determine c(u(g)).\nAnswer: -10*g**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 11 - 0. Suppose -m = g + 7, 4*m - b - 41 = 4*g. Let w = g + 19. What is the units digit of w?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 8558132.\nAnswer: 2, 11, 19, 29, 353","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 94585045?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 150563, 150594, 150677, 150836, 151095, 151478, 152009?\nAnswer: 152712","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -3 - (1 - -4 - (8 - -1)).\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 319230677?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from cnnenecephnhhhneep. Give prob of picking 2 p and 1 h.\nAnswer: 1\/204","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_test"},"subset":"dm_maths"} +{"text":"Question: Evaluate -2 + 3 + (-2 + -2 - 0).\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let t(w) = -33*w + 88. Is t(-15) a multiple of 17?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -4*c + s - 1, 5*c + 159 = -5*s + 296 - 157 for c.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in -2\/27, -40, -0.52?\nAnswer: -0.52","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is 1000101001000011001111010100 + -101?\nAnswer: 1000101001000011001111001111","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2*q + 0*q**2 - 3*q**2 - 11*q**2 - 121.\nAnswer: -14*q**2 + 2*q - 121","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2 = 2*u - u. Suppose -21*h + 22*h = -4*y + 19, 4*h + 4*y - 64 = 0. Suppose u*t - h - 89 = 0. Is t a multiple of 13?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 74355 is divided by 6193?\nAnswer: 39","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 22848 and 3150712?\nAnswer: 529319616","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 57774, 115541, 173298, 231045?\nAnswer: 288782","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is -132350 + -21?\nAnswer: -132371","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is 17 + 327?\nAnswer: 342","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of -7, -17, -35, -61, -95, -137, -187?\n\"Answer: -4*b**2 + 2*b - 5","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let d(z) = 7*z**3 + 2*z**2 + 16*z - 25. Is d(6) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -928 (base 10) in base 11?\nAnswer: -774","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Put 115, -5, 13, -2 in decreasing order.\nAnswer: 115, 13, -2, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -28*z + 90?\nAnswer: -28","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 34653402 is divided by 3150302.\nAnswer: 80","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -2? (a) 1\/4 (b) -2\/3 (c) -56 (d) 8\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -163 + 176. Suppose q = 4*p + 5, -114 = -o - 3*p. What is the greatest common factor of o and 12?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*w = -17345 + 17357 for w.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -0.289 - -0.339. Sort l, 1, 5\/4 in decreasing order.\nAnswer: 5\/4, 1, l","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(m) = 3*m**2 + 9*m - 14. Let g be k(4). Let r = g - -37. Is 18 a factor of r?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -87\/80 and 9\/40.\nAnswer: 80","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:13 PM and 5:39 PM?\nAnswer: 266","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -23*b - 2 + 21*b + 73*b + 85*b to the form i*b + k and give i.\nAnswer: 156","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -33 + 38. Suppose -w*l + 1284 = -3*l. Suppose 4*x = -2*x + l. What are the prime factors of x?\nAnswer: 107","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: -6630 divided by 2\nAnswer: -3315","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*t - 2*t + 4 = 3*q, 4*q - 32 = -2*t. Let i be (0 + -1)*(-14 + t) - 0. Suppose 7197 + 21381 = i*o. Is o a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from rkqkkrvvvvqrv. Give prob of picking 1 r and 1 v.\nAnswer: 5\/26","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (-110)\/4*(-37 + 3). Let g = m - 1811\/2. What is the common denominator of ((-24)\/(-736))\/(45\/(-870)) and g?\nAnswer: 46","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -6*(sqrt(847) + 3 + -1).\nAnswer: -66*sqrt(7) - 12","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:58 PM and 9:14 PM?\nAnswer: 496","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -3? (a) 1 (b) 28 (c) 2 (d) -6 (e) -10\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Factor -3*b**3\/2 - 165*b**2\/2 - 228*b + 312.\nAnswer: -3*(b - 1)*(b + 4)*(b + 52)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Convert -121 (base 14) to base 8.\nAnswer: -341","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 27, 43, 59, 75, 91, 107?\nAnswer: 123","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0.269*-3413.\nAnswer: -918.097","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 27, 110, 191, 270?\nAnswer: 347","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 0.0631 and 10?\nAnswer: 0.631","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve 15*i = z + 17*i - 5, 2*z + 3*i - 10 = 0 for z.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -1.72 - -0.02. Let t = 1.4 + f. Let k = t + 0.78. What is k rounded to one decimal place?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 18313 is divided by 482?\nAnswer: 479","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (3\/(-4))\/(-1) + (-7514)\/(-8). Suppose 5*l + 6*a - 2360 = a, -2*l = 3*a - y. What is the units digit of l?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(o) = -16 + 3*o**2 + 7*o + 16 - 4*o**2 + 10. Let l be f(8). Solve 5*b + 3 = -2*a, -5*b + l*a + 3*a = -25 for b.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: 41724 divided by -13908\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence qd when two letters picked without replacement from {q: 4, c: 5, o: 1, d: 6, b: 4}.\nAnswer: 6\/95","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Express -8 + 17*o - 24*o + 3 as h + v*o and give v.\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 124\/(-6)*324\/(324\/3)*(-2)\/(-6).\nAnswer: -62\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 4486 + -1021. Does 21 divide k?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth root of 1993 to the nearest integer?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 7 + -2 + 5 + -2 + -5?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Express -9*s**2 - 3 + 21*s**2 + 14*s**2 as q*s + t + a*s**2 and give a.\nAnswer: 26","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of (-17006)\/(-10) - (14 + 1005\/(-75))?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u be 60\/27 + 16\/(-72). Let i(v) be the first derivative of v**2\/2 + 2*v - 6. Let d be i(u). Solve 2*g = -3*t - 3, 3*g + 4*t + d = 4*g for g.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 726188 is divided by 176?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is -e6 - 2?\nAnswer: -e8","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is -2.65 minus -0.071?\nAnswer: -2.579","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 5607 and 1766472.\nAnswer: 267","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*q = -5*t + t - 12, 5*t - q - 6 = 0. Suppose -t*v + 61 = -39. What is the tens digit of v?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many months are there in 7\/6 of a year?\nAnswer: 14","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let l(m) = -m - 49*m**2 + 2*m + 48*m**2. Let z(r) = -26*r**2 + 6*r + 7. Let g(h) = 6*l(h) - z(h). Find the first derivative of g(k) wrt k.\nAnswer: 40*k","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -1, 0, 5, 14, 27, 44?\nAnswer: 65","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*c = 8*c - 12. Suppose 0 = 3*a - 3*x + 153, -c*a = 4*x - 2*x + 178. Let i be (-3)\/2*a\/42. Solve -13 = 2*j - 3*g, -i*j + 2*g + 2*g = 16 for j.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -36*c**5 - 2836*c**4 + 19460*c**3 + 34084*c**2 - 137024*c + 28560 = 0. Calculate c.\nAnswer: -85, -3, 2\/9, 2, 7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*c - 42 = a - 4*c, -206*a + 210*a + c + 199 = 13 for a.\nAnswer: -46","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 677?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 74\/(-222) - (-4)\/(-16)*2.\nAnswer: -5\/6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(f) = 23*f**2 - 11216*f + 18480. Determine n(486).\nAnswer: 12","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -159*c**2*h + 9332886*c**2 - 1460*c*h - 38*c - 141*h wrt h.\nAnswer: -159*c**2 - 1460*c - 141","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -98 + 136. Suppose -5*p + a + 460 = -866, 0 = 3*p + 4*a - 814. Calculate the highest common divisor of p and t.\nAnswer: 38","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 85*c**2 - 52*c**2 - 2*c**2 - 40*c**2 + 27*c**2 + 202*c**2.\nAnswer: 220*c**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -385844, -771715, -1157586, -1543457?\nAnswer: -1929328","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from iaoohoohiiai. What is prob of picking 2 o, 1 a, and 1 i?\nAnswer: 16\/165","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let a(z) = -5*z**3 + 194*z**2 + 447*z - 91. Calculate a(41).\nAnswer: -255","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -84, -180, -294, -432, -600, -804?\nAnswer: -1050","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 202*c - 110 = 213*c for c.\nAnswer: -10","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {c: 1, p: 3, n: 4}. What is prob of picking 2 p?\nAnswer: 3\/28","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let w be ((-2)\/4)\/(7\/(-70)). Let q = -3 + w. Suppose -2*c - 29 = -5*s, 5*c + 0*c + 20 = q*s. Solve 0 = -s*o + 5*m - 10, 0*o + 2*m = 3*o + 4 for o.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose y + o - 9 = 0, 0*o + 15 = 2*y - o. Suppose -4*f - 2 + 6 = 0. Sort -2, f, y in ascending order.\nAnswer: -2, f, y","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (5*sqrt(112)\/(-3*sqrt(8)*1))\/((sqrt(140)*-6)\/(sqrt(35)\/sqrt(63))).\nAnswer: 5*sqrt(2)\/108","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1\/3, -5, -0.07, 2, 23 in descending order.\nAnswer: 23, 2, 1\/3, -0.07, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*u + 5 = 23. Suppose u*r = r. Is -1 at least r?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is -51 + -c2255?\nAnswer: -c22a6","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -0.1 in -0.4, -9\/13, -49077?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let q(c) = -28*c + 254. Let j be q(9). Solve -3*o = -0*o - j*o for o.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -1215342 (base 6) to base 12.\nAnswer: -31552","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -6*4*(-12)\/96.\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*r - 2*o - 7825 = o, -5*r + 7820 = -2*o. Suppose -2626 = -5*k - 3*t, -3*k + 2*t + 3*t = -r. Let d = 903 - k. Is d composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is (-136)\/(-238) - 6768\/(-14) even?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from irriiir. Give prob of sequence irri.\nAnswer: 3\/35","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((((g**(1\/4)\/g)**(-39))**(-1\/20))**(3\/2))**(-3\/19) assuming g is positive.\nAnswer: g**(1053\/3040)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let c(z) = 0*z**2 - z**3 + 1 - z + 3 + 0*z**2. Let n be c(0). Solve -3*t + 8*t - 5 = 0, -6 = -l - n*t for l.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let -2*d**4 - 6254*d**3 - 755482*d**2 + 2310254*d - 1548516 = 0. Calculate d.\nAnswer: -3001, -129, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 126 minutes after 3:18 PM?\nAnswer: 5:24 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -256948*q**3 + 2*q**2 - 4039*q + 9?\nAnswer: -1541688","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 1*-1*3\/((-24)\/(-2)).\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let d be 6 + -6 + 76\/14. Let t = -5 + d. Let u = -175 + 881\/5. What is the third biggest value in u, t, -0.5?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(y) = 3*y. Let z(j) = 10 + 8 - 538*j**2 - 18 - 339*j**2. Determine z(v(s)).\nAnswer: -7893*s**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-5*s + 4*s - 5*s)*(-5*s - s + 4*s)*(3 + 2 - 3)*(3 + 1 + 0).\nAnswer: 96*s**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -182985*h**3 - h**2 - 2*h - 54794 wrt h.\nAnswer: -1097910","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 26.9 + -26.763. Let l = v + 2.863. What is the third biggest value in -1\/4, l, 3\/5, -0.2?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -2113 + 3470. What is the units digit of r?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 3535 - 3536. Let o = 2 + -6. Which is the second smallest value? (a) 2\/7 (b) v (c) 0.1 (d) o\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 1250 and 85.\nAnswer: 21250","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let g(v) be the second derivative of 3*v**5\/40 - 7*v**4\/24 - 3*v**3\/2 - 4*v. Let w(u) be the second derivative of g(u). Is w(5) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 487 + -4397\/9. Which is greater: p or -3?\nAnswer: p","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*t - 2 = 2, 3*p + 2*t = 73. Let b be (4 - 3 - 4) + -8. Let j = p + b. Solve -4*u + 2 = -j for u.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 517711 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is -822802015 divided by -4?\nAnswer: 822802015\/4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 6*((sqrt(99) + 0)*3 + 1*(2*sqrt(99) - sqrt(99)) + (sqrt(99) + 3*sqrt(99) + 0 - ((sqrt(99) - (-2 + sqrt(99)))*3 + sqrt(99))))**2*-4.\nAnswer: -117288 + 6048*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*v - 134 = -4*v - 5*s, -4*s + 136 = 4*v. Suppose 4*c + 64 = 4*j, -2*c - v = -2*j + c. Let p(t) = t - 12. Let q be p(j). Solve 0 = 4*d + 4 - q for d.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2 + 2 - 5)*(-19*u + 19*u + 2 + 12*u**2).\nAnswer: -12*u**2 - 2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let d be 8\/(-286) + 18\/99. Let j(g) = -g - 41. Let l be j(-23). Let v be (-9)\/l*3*24\/63. Is d less than v?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 150796 is divided by 50259.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 3.77 - 0.77. Let p be (-2)\/(-4)*4 + -2. What is the nearest to -3 in -0.7, p, g?\nAnswer: -0.7","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 11 = -5*z + 48*g - 51*g, 5*z - 51*g = -43*g - 44 for z.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 23717820 to the nearest integer?\nAnswer: 4870","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -53 + -63. Let f be g\/24 + (-3)\/(-2) + 4. Factor f*w**2 + 2\/3 + 4\/3*w.\nAnswer: 2*(w + 1)**2\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8 = -3*d + 1. Let v = -5 + 11. Calculate the highest common factor of v and d.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: 2960 divided by 40\nAnswer: 74","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 12*t = 11*t + 8. Suppose z - t = -63. Let s = 111 + z. What are the prime factors of s?\nAnswer: 2, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (2\/18)\/(-1*15\/270). Let j(i) = 2*i + 5*i**2 + 1 + 3 - i. Let x(u) = -u**2 - 1. Let r(b) = 2*j(b) + 9*x(b). Determine r(p).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(t) be the third derivative of 1\/6*t**4 + 2*t**2 + 0*t + 1\/30*t**5 + 0 + 1\/6*t**3. What is the remainder when w(6) is divided by 25?\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 24332301 to the power of 1\/2, to the nearest integer?\nAnswer: 4933","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is 520981 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -1 in -20, 2, -0.4?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -47.1? (a) 4 (b) 0.07 (c) 0.8 (d) 2\/21\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -0.3*0.1631722.\nAnswer: -0.04895166","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -h = 2*h - 9. Suppose 0 = -0*y - h*y. Suppose -6*d + 4*d + 92 = y. Calculate the remainder when d is divided by 16.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 s when two letters picked without replacement from nddsnwswwnwsddn.\nAnswer: 1\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 2\/4*(-440)\/(-66).\nAnswer: 10\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:41 PM and 9:20 PM?\nAnswer: 459","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of 91124497, 91124501, 91124505, 91124509?\n\"Answer: 4*l + 91124493","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let z(p) be the first derivative of -p - 32. Suppose -2*k + 15 = k. Let o be 3\/(-6)*(1 - k). Let t(y) = y + 2. Determine o*z(c) + t(c).\nAnswer: c","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: -0.099876*-9018\nAnswer: 900.681768","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve -206*d - 99 = -195*d for d.\nAnswer: -9","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -2*h**2 + 3 - 1243*h + 2*h**3 + 1246*h + 3*h**2 - 5*h**2 to l*h**3 + p*h**2 + z + b*h and give z.\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:21 AM and 11:19 AM?\nAnswer: 418","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let p(o) = 1 + 0 - 11*o + 5*o**2 - 13*o**2 - 2*o**3 + o**3. Suppose 0 = -j + 2, 5*j + 22 = -3*v - v. Is p(v) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*i - 82*b + 83*b - 28 = 0, 0 = 2*i + 4*i - 4*i + 5*b - 48 for i.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is 13163 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let z(j) = -j**3 - 14*j**2 - 11*j + 13. Let b be z(-13). Let k = -5 - b. Suppose 3*l + k = -4*a, 3*l + 0 + 12 = 0. Let u(r) = -17*r + 1. Give u(a).\nAnswer: -16","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (12\/24)\/(1\/(-10)). Which is the closest to s? (a) -0.2 (b) 4 (c) -1\/2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 634516 and 19133?\nAnswer: 53","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is -1101111101 + -1011?\nAnswer: -1110001000","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (3\/4 - (-2)\/8)*12. List the prime factors of (f\/8)\/(15\/1300).\nAnswer: 2, 5, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((-2*f - 3 + 3)*(2 - 2 + 2) - 2*f + 2*f + f)*(-f + 0*f - 4*f)*(1 - 1 - 1).\nAnswer: -15*f**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 61928?\nAnswer: 2, 7741","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let w(a) = 2 - 16*a**2 - 28*a**2 - 2 + 43*a**2. Let q(g) be the second derivative of 5*g**4\/4 + g. Calculate q(w(d)).\nAnswer: 15*d**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Factor -3*i**5\/4 + 1044*i**4 - 1449063*i**3\/4 - 1457427*i**2\/2.\nAnswer: -3*i**2*(i - 697)**2*(i + 2)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let 4*n**2\/3 + 218909392*n\/3 + 2995082619113104\/3 = 0. Calculate n.\nAnswer: -27363674","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -804 + 806. Suppose 12*v + 10*v - f*v = 0. Find a such that 2*a**4 + v*a**2 + 0*a - 2*a**3 + 0 - 1\/2*a**5 = 0.\nAnswer: 0, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 9618 and 378?\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*m + 1836 = -4*j + 2*m, 5*m - 939 = 2*j. Let i be (-2)\/5 + j\/(-605). Which is smaller: 1 or i?\nAnswer: i","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(z) = -z**2. Let g(r) = -11*r**2 - 30*r. Calculate g(a(k)).\nAnswer: -11*k**4 + 30*k**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Expand -5*j**4 + j**4 + 0*j**4 + (4*j**3 + 0*j**3 - 3*j**3)*(2*j - 4*j + 3*j) + 147*j**3 - 147*j**3 + 15*j**4.\nAnswer: 12*j**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of -1968422, -3936845, -5905268?\n\"Answer: -1968423*x + 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-176 - t - 2*t**4 + 11*t**3 + 176)*(-1 + 1 - 2*t - 2*t + 4*t - 3*t + 4 - 3*t - 4 + (-5*t + 2*t + t)*(3 - 2 - 2) + 3*t - 5*t + 0*t).\nAnswer: 12*t**5 - 66*t**4 + 6*t**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 24\/(-360)*(-2)\/2?\nAnswer: 1\/15","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is -88787770 divided by 34?\nAnswer: -2611405","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.13 minus 0.00606?\nAnswer: 0.12394","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 4563 (base 9) in base 2?\nAnswer: 110100110010","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -97*o**2 + 164*o**2 - 87*o**2.\nAnswer: -20*o**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:16 PM and 5:36 PM?\nAnswer: 260","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 13?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-5*(-4 + sqrt(2187) + (-2*sqrt(27) - sqrt(3))))**2*-5.\nAnswer: -152000 + 20000*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:00 AM and 6:17 PM?\nAnswer: 557","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 21 - (-14 - -30) - (-1 + -1) - 1?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let s(x) = 11*x**2 + 6*x + 3. Let z(n) = -n**2 + 2*n - 2. Calculate -s(t) - 4*z(t).\nAnswer: -7*t**2 - 14*t + 5","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(25)*-1)\/sqrt(5) - (sqrt(10)\/sqrt(2)*-2)**2.\nAnswer: -20 - sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let f(m) = -6*m + 2. Let l(d) = 1. Let y(z) = -5*z + 5. Let a(c) = -3*l(c) + y(c). What is -5*a(j) + 4*f(j)?\nAnswer: j - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is 10110101001 + 10100111110010?\nAnswer: 10111110011011","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is 454109 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-4)\/78)\/(-3*(-5)\/(-45)).\nAnswer: 2\/13","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Add together -5.3 and 296074991.\nAnswer: 296074985.7","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -7.65 and -0.015.\nAnswer: 0.11475","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from uuulhpukuuulkpluhlh. What is prob of sequence pp?\nAnswer: 1\/171","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 10.2 or 3692971?\nAnswer: 10.2","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0 - 11 + 0)*(3 - 3 - l) + (-3*l + 4*l + 6*l)*(-3 - 2 + 4).\nAnswer: 4*l","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -2 - -4. Let x = 5.53269 - 1.53269. What is the nearest to 1 in d, 0.3, x?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence cjc when three letters picked without replacement from njccjq?\nAnswer: 1\/30","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Work out 586206210.7 - -0.93.\nAnswer: 586206211.63","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is (511203\/(-66390))\/(42\/(-10))?\nAnswer: 11\/6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let q(j) = -63*j. Let n(t) = 4*t. Give n(q(o)).\nAnswer: -252*o","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 827, 1654, 2481?\nAnswer: 3308","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 3528*m**2 + 7 - 4*m - 3527*m**2 + 3*m to the form i*m + o*m**2 + u and give i.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of -99000, -98829, -98658, -98487, -98316?\n\"Answer: 171*m - 99171","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let y(s) = -s. Let c be y(-2). Let l = -4 + 1. Let q = -35603 - -35603. Sort c, q, l in ascending order.\nAnswer: l, q, c","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 17*z**3 - 3189*z**2 + 8*z**3 + 22*z**3 + z**3 - 47*z**3 to p*z**2 + l + n*z**3 + h*z and give p.\nAnswer: -3189","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let m(a) = 5*a - 18. Let y be m(4). Solve 0*j = -y*j - 10 for j.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 3090 to the power of 1\/2, to the nearest integer?\nAnswer: 56","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from jjcrrjjrjrcrrjjcjrj. Give prob of sequence crj.\nAnswer: 21\/646","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let s(q) be the second derivative of -41*q**7\/14 - 3*q**5\/20 - q**4 - 4*q**2 - 732*q. What is the third derivative of s(o) wrt o?\nAnswer: -7380*o**2 - 18","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 31511465 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -2478 - -2477. Let j = -3 + 5. What is the second smallest value in j, l, 4\/3?\nAnswer: 4\/3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -704 = -n + o + 275, -2*n = -5*o - 1955. Is n a multiple of 4?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: -741 times -0.4\nAnswer: 296.4","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: How many milligrams are there in 947963.7 micrograms?\nAnswer: 947.9637","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1658961?\nAnswer: 3, 6827","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*m = -4*c + 40, 3*c - 30 = 3*m + 30. Suppose p + 6 = -p + y, -3*y = 4*p + 12. Is 8 a factor of (3\/2)\/(p\/m)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -59*b + 70 + 70 = 11*b for b.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (-22)\/(-10) + (-5)\/25. Let k = h + 56. What is the highest common divisor of k and 87?\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is -2011021 + -12112?\nAnswer: -2100210","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -0.18? (a) 289 (b) -0.5 (c) -1\/7 (d) -8\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is -43 - 4?\nAnswer: -47","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let x(n) = 2*n + 3. Let j be x(3). Suppose 3*c = 3*u + j, -3*u + 23 = u + 3*c. Suppose 0*f - u*f + 20 = 0. What is the units digit of f?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -350*h - 1188 + 748 = 1660 for h.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 22922 - 22922 - 5*q**2.\nAnswer: -5*q**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*n - 36 = -4*s, -s - 14 + 63 = 84*n - 79*n for n.\nAnswer: 10","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 6462963 is divided by 735?\nAnswer: 108","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let h(u) = 9*u + 2. Let z(f) = -5*f - 3. Let x be z(-1). Let t be h(x). Suppose 8 = 2*c + 2*c, -4*c = -4*b - t. Are b and 3 nonequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(g) = -51050*g**3 - 4*g**2 + 5*g. Let r be h(3). Let b = -567692 - r. Suppose 12679 = -3*j + b. Round j to the nearest 10000.\nAnswer: 270000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((q\/q**(-2\/15))**10\/(q*q\/((q**8*q)\/q)*q**8*q))**(-8\/3) assuming q is positive.\nAnswer: q**(-200\/9)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of 70, 291, 664, 1189, 1866, 2695, 3676?\n\"Answer: 76*b**2 - 7*b + 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 0.33 and 35.9.\nAnswer: 11.847","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) 0.03 (b) 21\/152 (c) 3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 127\/138 and -25\/18.\nAnswer: 414","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:36 PM and 12:42 AM?\nAnswer: 186","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is -3\/3113 >= 0?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -a + 5 = -10. Suppose 0 = a*m - 14*m - 17. Suppose 0 = 2*c - 4 - 8. Calculate the remainder when m is divided by c.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 3 + 2*z - 3 + (3 - 3 - 2)*(7*z - 6*z + 8*z).\nAnswer: -16*z","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 1482, 3948, 8056, 13806, 21198?\nAnswer: 30232","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 21 + -61\/3. Let w = 1 - 0. Which is the nearest to l? (a) -1 (b) 0.4 (c) w\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (-38 - 36 + 69 + (3 + 7 - 6)*(-2 + 4 + 0))*(m + 3 - 3) as b + y*m and give b.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve -154 - 1424 = 160*m + 1142 for m.\nAnswer: -17","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 2303 plus 2732.624513?\nAnswer: 5035.624513","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 16285 in -2\/7, -1\/7, -0.2?\nAnswer: -1\/7","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 69 and 24.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 655 minutes before 9:56 PM?\nAnswer: 11:01 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 553 minutes after 1:59 PM?\nAnswer: 11:12 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -38.09 - -37. Let j = f + 0.09. Let x = -258 + 1023\/4. Which is the second biggest value? (a) j (b) 1\/4 (c) x\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(a) = -21485*a**3 + 20*a**2 + 7*a + 10. Let u be j(-5). Round u to the nearest 10000.\nAnswer: 2690000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -11 + 16. Let j(u) = -u. Let d be j(5). Let h = -12 + 10. Sort h, c, d in decreasing order.\nAnswer: c, h, d","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-4*sqrt(132)*1 + -4*1*sqrt(132))\/((sqrt(48) - sqrt(192) - sqrt(48))*-5).\nAnswer: -2*sqrt(11)\/5","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (10 + -9)*(6 + 0). Let t(r) = r**3 - 8*r**2 + 4*r - 1. Let u be t(h). Let w = u + 70. Is w a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(m) = m**2 - 4*m + 5. Let p be o(4). Let f(s) = -2 - 3 - s + p. Let v(d) = d**2. Determine v(f(c)).\nAnswer: c**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 90065\/9564 + -1\/2391. Calculate the common denominator of 6\/32*(-1)\/(108\/(-1144)) and m.\nAnswer: 72","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(h) = -h**3 + 17*h**2 - 33*h - 421. What is r(11)?\nAnswer: -58","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -29 + 42. Is 13 a factor of s?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.06402759 to four dps.\nAnswer: 0.064","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 154 and 14?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 1.034 - 0.83368. Let c = 0.2 - w. What is c rounded to 4 dps?\nAnswer: -0.0003","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 1109049 or 4436201\/4?\nAnswer: 1109049","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is -1201 - 112?\nAnswer: -2020","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 2622, 2677, 2732, 2787, 2842, 2897?\nAnswer: 2952","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Put 2, -698, -1\/3, 0, 5, -13, 0.2 in decreasing order.\nAnswer: 5, 2, 0.2, 0, -1\/3, -13, -698","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let w(f) be the second derivative of f**8\/1680 + f**5\/20 + 5*f**3\/6 + f. Let g(i) be the second derivative of w(i). What is the second derivative of g(o) wrt o?\nAnswer: 12*o**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.000010589 rounded to seven decimal places?\nAnswer: 0.0000106","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -14*j + 2*j = -0*j. Suppose 4*t - 12 + 16 = j. Put t, -0.3, -4 in descending order.\nAnswer: -0.3, t, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*c + 4*h - 180 = c, -3*h = -2*c - 88. Let r = 87 + c. Calculate the remainder when r is divided by 11.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -1251 > -1286?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 92\/1785 - 10\/357. Is 0 equal to t?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1235 a multiple of 76?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is -54404 (base 6) in base 5?\nAnswer: -214432","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 44 to the power of 1\/8, to the nearest integer?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 74658*v**3 - 667212*v?\nAnswer: 447948*v","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -47\/441 and 1\/1176.\nAnswer: 3528","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 71 minutes after 1:40 AM?\nAnswer: 2:51 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is 62\/7 less than or equal to 8?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let t(o) = -19004*o**2 + 1121237*o - 60. Calculate t(59).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 7\/8 of a litre?\nAnswer: 875","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 14 a factor of 167?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(35)\/(sqrt(21)\/sqrt(3)) + 3)*2 + -2 - 2*(5*(sqrt(5)*-2)**2 - sqrt(15)\/(sqrt(3) + 1*sqrt(3)))*3.\nAnswer: -596 + 5*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let w(j) be the second derivative of -8*j + 3\/20*j**5 + 0*j**3 + 1\/2*j**4 + 0 + 0*j**2. What is the third derivative of w(c) wrt c?\nAnswer: 18","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*k + 95 = -3*f - 337, -k - 432 = 3*f. Is -148 >= f?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 72*n + 20*n = 53*n + 1248. Suppose 5*c + 20 = 0, 4*c - 2 = 3*j - 24. Suppose -6*u + 636 = -j*u. Calculate the remainder when u is divided by n.\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) 0.5 (b) 1\/16 (c) 6.5 (d) -1\/2 (e) -3 (f) -2\/335\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 80744 to the nearest integer?\nAnswer: 43","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 142 + -473. Let y = 312 + d. Which is smaller: y or -23?\nAnswer: -23","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2 - 10 = 2*l. Let b = l + -1. Put -4, 0, 2, b in ascending order.\nAnswer: b, -4, 0, 2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence hdsh when four letters picked without replacement from {s: 4, h: 4, f: 1, d: 1}.\nAnswer: 1\/105","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 17540705 - 8907142. Let x = 8633604.000154 - w. Let t = 41 - x. What is t rounded to five decimal places?\nAnswer: -0.00015","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 70703124?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -4329.9 - -4331. What is the biggest value in x, 2\/11, -0.5, -2?\nAnswer: x","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 47697951?\nAnswer: 3, 7, 179, 12689","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2871 - 2477 = -12*w + 5176. Does 15 divide w?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(c) = c - 2. Let r be o(-3). Is 5 a factor of 1*11 + (-6 - r)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (2 + 3*(sqrt(343)*-1 - sqrt(343)))**2.\nAnswer: -168*sqrt(7) + 12352","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let w(n) = 2*n - 3. Let r be w(1). Let a(j) = j - 3302 + 3303 + 2*j. What is a(r)?\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(i) = -5*i - 1. Let w be j(-1). Suppose 0 = -w*r - 3*h + 82, -3*r = -2*r - 5*h - 9. Is 7 a factor of r?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -22476, -45329, -68182?\nAnswer: -91035","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -141*g = -260 - 304. Let b = 1 + 2. Suppose 0*x + b*l = x - 11, 4*l = 2*x - 18. Solve -g*n - x*k = -0*n - 5, k - 1 = n for n.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(l) = -5*l. Let r(v) = -14*v. Let s(y) = -8*p(y) + 3*r(y). Suppose 0 = 4*z - 3*z - 2*n + 1, -3 = 3*z - 3*n. Calculate s(z).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*r = 4*i + 1049 - 6489, 4*i = -5*r + 5439. Is i composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(z) be the first derivative of -3*z**7\/7 - 165*z**4 - 9995*z**3\/3 - 857. Find the third derivative of q(j) wrt j.\nAnswer: -360*j**3 - 3960","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -2*24\/(-420)*(-10)\/(-4)?\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -4, 31, 106, 221, 376?\nAnswer: 571","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 53.9956 + 3?\nAnswer: 56.9956","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 4485 to the power of 1\/4, to the nearest integer?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 965471815 to the power of 1\/9, to the nearest integer?\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -33206 or -33208?\nAnswer: -33206","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 29*j - 82 = -5*i + 31*j, 4*i - 68 = 4*j. Calculate the highest common factor of i and 31568.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 44 less than 17676\/397?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from njonnbnojnn. What is prob of sequence nn?\nAnswer: 3\/11","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5 = -3*j + 2*z + 3, 20 = 4*z. Let y = -30 + 32. Solve y*b = 4*b + v + 6, 5*v + j = -2*b for b.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -1491.7 and -0.03?\nAnswer: 44.751","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*g + 4198 = 5*t, 0*t - 2*t = 5*g - 1685. Suppose 2*s + t = 4*h + 4*s, h - s = 213. Is h a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 1027523 to the nearest integer?\nAnswer: 101","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 7 - 4. Let y be 4\/x*(-6)\/(-28). Let k = 143 + -287\/2. What is the nearest to y in 0, k, -1\/5?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: 11 + -14 + (4 - 2)\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let s(t) = t**2 - 15*t + 1. Let x be 6 + 672\/(-114) + (-786)\/(-114). Calculate s(x).\nAnswer: -55","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 100594 to the nearest integer?\nAnswer: 317","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -49\/4 and (6\/40)\/((-6)\/452).\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -4102013314 (base 5) in base 2?\nAnswer: -11111011010100111000011","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -8 + 11*i**4 + 33*i**2 - 33*i**2 wrt i.\nAnswer: 44*i**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (48 - 76) + (4 - (-2 - (2 + -1))).\nAnswer: -21","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*p + 3*h + 6 = 0, -2*p + 10 = -h + 4. Suppose i + p*o + 1 = -1, -6 = i + 5*o. Suppose 4*d - 2*q = 72, i*q - 100 = -3*d - 35. Is d a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: 3976\/(-10640) + (-16)\/(-40)\nAnswer: 1\/38","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 10*c**3 + 109*c**4 - 11788*c**2 + 11787*c**2 - 9*c**3 + 2 + (2 - 2 + 2*c**2)*(c**2 - c**2 - c**2) + c**4 + 8*c**2 - 8*c**2.\nAnswer: 108*c**4 + c**3 - c**2 + 2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {t: 3, q: 1, u: 3}. What is prob of picking 1 t and 1 u?\nAnswer: 3\/7","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from bblfbffxcfb. What is prob of picking 2 b?\nAnswer: 6\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*y = 43 - 15. Suppose 4*j = y + 26. Solve p = -p + j for p.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in 3, 0.053, 4?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*k = 2*k + 2. What is the tens digit of (-3 + 4\/k)*38?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 6\/25 of a micrometer in nanometers?\nAnswer: 240","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 171257 is divided by 4893.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let s(q) = q**3 - 17*q**2 - 21*q + 878. Let p be s(14). Let g = -2.8 + 3. Let z = g + -0.3. What is the nearest to -0.1 in p, -0.4, z?\nAnswer: z","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -1327.17 rounded to the nearest one thousand?\nAnswer: -1000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: 16 divided by -87\nAnswer: -16\/87","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*p - p. What is the third derivative of 2*w + 4*w**3 - 5*w**2 + p*w**3 - 2*w wrt w?\nAnswer: 24","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 81201244.\nAnswer: 2, 3259, 6229","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 87731 is divided by 3372?\nAnswer: 59","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3*i**2 + 2*i**2 + 8*i**2 + (i + 3*i - 3*i)*(-4*i - i + 3*i) + i**2 - 2*i**2 + 2*i**2 + (-5 + 2*i + 5)*(-6*i - 1 + 1))*(-5 + 2*i + 5).\nAnswer: -12*i**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((o**(-2)*o)\/(o*o**17\/o*o*o))\/((o\/o**1*o*o)\/((o\/(o\/o**(1\/8)*o))\/o)))**(-20) assuming o is positive.\nAnswer: o**(955\/2)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is -2\/173 <= -1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(468)*1*1 + sqrt(468))\/sqrt(9).\nAnswer: 4*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in 0, 0.01, -24865?\nAnswer: 0.01","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Sort -59\/17, -1\/3, -3\/7, 1 in decreasing order.\nAnswer: 1, -1\/3, -3\/7, -59\/17","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let h be ((-4)\/6)\/((-5)\/(-30)). Let d = 32 + h. List the prime factors of d.\nAnswer: 2, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 3415060 and 440.\nAnswer: 220","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of -1864, -1872, -1884, -1900, -1920, -1944, -1972?\n\"Answer: -2*g**2 - 2*g - 1860","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -30 - -44. Suppose -m = -2*u + 10. Does 5 divide u?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 20375, 40752, 61131, 81512?\nAnswer: 101895","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let h(r) = -r. Let v(d) = d**3 - 6*d**2 - 8*d - 16. Let o be v(8). Let p(g) = 0 + 0 - 49*g + o*g. Determine h(p(q)).\nAnswer: q","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 1932 and 96?\nAnswer: 15456","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 68831778 minus 5?\nAnswer: 68831773","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 108 = -5*u + 11*u. Let y be 4\/u*2\/(8\/6). Which is the closest to 0.1? (a) -4 (b) 0 (c) y\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: 2 - (-1 - -2 - 1) - 0\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 1 in -0.3, 167, 4, 4\/5, 1\/4?\nAnswer: 4\/5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 341 minutes after 1:18 AM?\nAnswer: 6:59 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 18659291 to the power of 1\/3, to the nearest integer?\nAnswer: 265","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 10, -21, -124, -335, -690?\nAnswer: -1225","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:15 AM and 4:23 AM?\nAnswer: 128","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let 0 - 8\/11*a**3 - 2\/11*a + 8\/11*a**2 = 0. What is a?\nAnswer: 0, 1\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (8 - (-3 + 1))\/(-6 - 0).\nAnswer: -5\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*f - 2*g = 0, -2*f + 8 = 2*g - 8. Calculate the least common multiple of 4 and f.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 2738 and 3404?\nAnswer: 74","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -15365 - 8*i + 15365.\nAnswer: -8*i","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let x(m) be the third derivative of m**8\/16800 - m**7\/4200 - m**6\/900 + m**5\/150 + 11*m**3\/3 + 32*m**2. Let b(k) be the first derivative of x(k). Factor b(a).\nAnswer: a*(a - 2)**2*(a + 2)\/10","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 18*f - 232 = 218. Calculate the lowest common multiple of f and 5.\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*g**5 + 12*g**4 + 92*g**3 + 184*g**2 + 150*g + 44.\nAnswer: -2*(g - 11)*(g + 1)**3*(g + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*l = 4*l. Suppose l = 2*d, -4*d - 4 - 4 = -4*f. Calculate the highest common factor of f and 10.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1084398 to the power of 1\/2, to the nearest integer?\nAnswer: 1041","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 7*-2 - (768\/960)\/((-32)\/(-920))?\nAnswer: -37","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in 1, -2\/9, 0.48, -3, 3?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (1 - 0) + 10\/(-12). Let t = 26 + -22. What is the nearest to -1 in t, q, 2?\nAnswer: q","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-2 + 1\/1)\/(195 - 198) + (-43)\/3.\nAnswer: -14","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let x be 56\/90 - 4\/10. Let o(g) = g**3 - 3*g**2 - 3*g + 2. Let v be o(4). Let f be 4\/v*15\/(-25). Sort x, f, -0.5 in increasing order.\nAnswer: -0.5, f, x","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from rlzrlgryrr. Give prob of picking 2 l.\nAnswer: 1\/45","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 13022011 (base 4) in base 16?\nAnswer: 7285","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 7.12923 - -8.87095. Let s = -460 + 444. Let x = s + o. Round x to 5 dps.\nAnswer: 0.00018","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(h) = 45*h**4 - 9*h**2 - 9*h + 64. Let c(f) = 11*f**4 - 2*f**2 - 2*f + 16. Let o(z) = 9*c(z) - 2*n(z). Find the first derivative of o(u) wrt u.\nAnswer: 36*u**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -21*w**4 - 28*w + 1510.\nAnswer: -84*w**3 - 28","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is 1314377 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -9*x + 3*c + 20 = -10*x, 2*x + 2*c = -28. Let s be 2\/x + 56\/308. Suppose 3*a - 8 - 7 = 0. Solve a*m + s = -5 for m.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(k) be the third derivative of 0*k**3 - 1\/20*k**5 + 0*k**4 - 1\/112*k**8 + 0 - 3\/40*k**6 - 3\/70*k**7 + 0*k - 10*k**2. Factor s(d).\nAnswer: -3*d**2*(d + 1)**3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((5 + (sqrt(147)*1 - sqrt(147)) + -4*(sqrt(147) - sqrt(147)*-2))**2 - (4 + (sqrt(147) + -1*sqrt(147))**2)*1*-1) + 4.\nAnswer: -840*sqrt(3) + 21201","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 131*1217.25.\nAnswer: 159459.75","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is 472870933 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is three tenths of a litre in millilitres?\nAnswer: 300","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 15*k - 10*k - 170 = 0. Suppose 7*x = -10 - 32. Let m be (x\/4)\/(-1)*-1*2. What is the third biggest value in m, 0.1, k?\nAnswer: m","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -543*g - 2107*g + 104400 = -49300 for g.\nAnswer: 58","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let q(c) = -11*c**3 + 5*c**2. Suppose -26*p = -30*p + 8. Let r(l) = p*l**3 - l + 2*l**2 - 6*l**3 + l. Give -3*q(v) + 8*r(v).\nAnswer: v**3 + v**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 80818 is divided by 264?\nAnswer: 34","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.066472 to 3 dps.\nAnswer: 0.066","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -69*t - 71*t - 21*t.\nAnswer: -161*t","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let y(m) = -m**2 + 52*m + 4490. What is y(98)?\nAnswer: -18","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: 2\/(-2*1\/2)\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -10213, -10412, -10741, -11200, -11789, -12508, -13357?\nAnswer: -14336","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 71*a + 358 = -108*a for a.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 10 = -5*u, -17 = -3*b + 13*u - 12*u. Suppose 0 = -5*i + 22 + 38. Suppose 7 = 3*o + 5*d, 0 = 5*o - b*d - i - 13. Solve 3*l = o + 11 for l.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -51*d**2*t**3 + 166*d**2*t - 111*d*t**3 + 328*t**2 wrt d?\nAnswer: -102*t**3 + 332*t","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: How many seconds are there in 193770.5 microseconds?\nAnswer: 0.1937705","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let c be 54\/(-4)*2*1. Let k be ((-1)\/(-3))\/((-3)\/c). Let t = 78 - 76. Solve k*u - t*u - 1 = 0 for u.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (307 - 306 - (13 + 0) - -26) + 19?\nAnswer: 33","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let r be 16\/(-6)*90\/8. Let c be (-12)\/r + 36\/10. Suppose 5*d - 2*n = 40, -3*d - c*n = -0*d - 24. Solve d = -2*b - 2*b for b.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(q) = 3 - q - 3. Let d(h) = 9*h. Let b(m) = -5*m. Let l(v) = -11*b(v) - 6*d(v). Determine l(o(r)).\nAnswer: -r","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -59426 in 2\/19, -194, -1\/6?\nAnswer: -194","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let y(v) = v**2 + 15*v - 13. Let n(s) = -s - 2. Let a be n(14). Let l be y(a). Solve 0 = -5*h + 2*d - 0*d + 14, l = d for h.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of 223, 275, 367, 505, 695?\n\"Answer: v**3 + 14*v**2 + 3*v + 205","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 1 equal to -2830\/1905731?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let v(d) = 2*d**3 - 4*d**2 - 10*d. Let q be v(6). Suppose -4*i = -4*x + q, 135 = 3*x - i - 32. What are the prime factors of x?\nAnswer: 5, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*f + 3*s + 45 = -30, 4*f - 127 = -5*s. Suppose 51*c - f*c - 69 = 0. Solve -c*q - 5 = -4*q for q.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -1415*b*w**3*x - 1487*b*w**2*x + 55*b*w**2 + 3*b*w*x - 2*b*x + 16844*w**6*x - 6*w**2 wrt w?\nAnswer: -8490*b*x + 2021280*w**3*x","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 3 f when three letters picked without replacement from {t: 7, f: 2}?\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) -0.02 (b) 2\/100345 (c) -2\/9 (d) 0.1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth root of 347156148 to the nearest integer?\nAnswer: 136","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Round -1021317.72 to the nearest 100000.\nAnswer: -1000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 708 minutes after 9:29 AM?\nAnswer: 9:17 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Convert 90880.43 millimeters to nanometers.\nAnswer: 90880430000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let r be -1*2*(-70)\/28. Suppose -3*t + 76 = j, -3*t = -t + r*j - 29. Calculate the highest common factor of 27 and t.\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(r) = r**2 - 11*r + 29. Let u be x(8). Solve a + u = 4 for a.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (2*n + 3*n - 6*n)*(1 - 1 - 2*n) + 4*n**2 - n**2 + 0*n**2 + 125*n**2 - 144*n**2 + 104*n**2 in the form b*n**2 + o*n + a and give b.\nAnswer: 90","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -619, 70, 1223, 2840, 4921, 7466?\nAnswer: 10475","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let v(x) = 4*x - 11. Let t(z) = -2*z + 5. Let j(h) = 7*t(h) + 4*v(h). Calculate the remainder when 20 is divided by j(8).\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 3 - 39. Is 3 a factor of 8\/6*k\/(-12)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-6 + 2 + 3)*(x - 2 + 2) + (-7516 + 7516 + 89*x)*(1 + 1 - 1).\nAnswer: 88*x","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 1 + (sqrt(119)\/(sqrt(21)\/sqrt(3)) - sqrt(17)) + sqrt(204)\/(-2*sqrt(12)) + (2*sqrt(17))**2*-2.\nAnswer: -135 - sqrt(17)\/2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:35 AM and 7:35 AM?\nAnswer: 120","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (3 + (-8)\/1)\/(375\/300). Let k = -2 - -2.5. What is the nearest to -1\/12 in -2\/9, n, k?\nAnswer: -2\/9","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -298*o**3 - 4*o*w - 4161*w wrt o?\nAnswer: -894*o**2 - 4*w","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of -203, 400, 3557, 11026, 24565, 45932, 76885, 119182?\n\"Answer: 293*a**3 - 481*a**2 - 5*a - 10","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*t + 2*g = -14, 4*g = -89*t + 86*t - 8. Sort -1, t, 10, -5 in descending order.\nAnswer: 10, -1, t, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -3.43? (a) -0.2 (b) -174 (c) -5 (d) 0.09\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let r(m) = 4*m**2 - 13*m + 42. Let t(l) = 10*l + 48*l**2 - 8*l - 47*l**2 + 14 - 6*l. Give -2*r(x) + 7*t(x).\nAnswer: -x**2 - 2*x + 14","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -5 - 1 + 10 + v**2 - 10 to a*v**2 + b + l*v and give b.\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of 1327, 2899, 4471, 6043?\n\"Answer: 1572*n - 245","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*p = -4*p + 158 - 14 for p.\nAnswer: 16","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -5732 - -5731.988625. What is r rounded to three decimal places?\nAnswer: -0.011","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 11 a factor of 149?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0 + 0 + 11)*(-2*q + 0*q + q)*(98 + 4*q - 98).\nAnswer: -44*q**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.0002918507281 rounded to six dps?\nAnswer: 0.000292","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let q(s) = s**3 - 7*s**2 + 8*s - 4. Let v be q(6). List the prime factors of (34\/8)\/(2\/v).\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 10 - 8. Suppose -8 = -l - 0*a + y*a, -100 = -5*l - 2*a. What is the lowest common multiple of 2 and l?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 4*p*r**4 - 4*p*r**3 + 31*p*r**2 - 2*p*r + 213*r**5 - 66*r**2 wrt r.\nAnswer: 96*p*r - 24*p + 12780*r**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1611?\nAnswer: 3, 179","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Are 76227 and 75176 unequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -29 - -45 - (2 + -2).\nAnswer: 16","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 0.016 + -30.016. Let q = -19 - t. Let i be 1199\/2289 - ((-45)\/(-21))\/5. Which is the closest to q? (a) -0.5 (b) 0.1 (c) i\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 116503 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve -z - 13 = -6*y, -4*y + 1956*z - 1957*z = -17 for y.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*r = 2*t - 21, -4*t + t + 4*r + 23 = 0. Let z(j) = j - 7. Let l be z(t). Suppose -l*y - 3*y + 280 = 0. Is y a multiple of 14?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 3 times -0.14412?\nAnswer: -0.43236","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Determine l so that -l**5\/2 + 13*l**4\/2 - 21*l**3\/2 - 13*l**2\/2 + 11*l = 0.\nAnswer: -1, 0, 1, 2, 11","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is j in -2*j**2\/7 - 24548*j\/7 + 49104\/7 = 0?\nAnswer: -12276, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -5*w + 13 + 22. Suppose -4*s + w*s = 33. Calculate the greatest common divisor of 77 and s.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 12*y - 114*y + 3132 = 72*y for y.\nAnswer: 18","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*r = -3*v + 5673, 5245 = 4*v - 2*r - 2319. What is the units digit of v?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -1206 + 1201 - 29*b**2 + 185*b - 189*b to the form p*b**2 + w + k*b and give w.\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Divide 929145 by 5.\nAnswer: 185829","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let s(o) = -109*o - 63 - 48*o + 94*o. Let z be s(-1). Determine q so that -2\/3 + z*q + 2\/3*q**2 = 0.\nAnswer: -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d be 100\/45 + ((-4)\/(-18))\/(-1). Suppose 0 = -0*f - d*f + 50. Let w be ((-2)\/4)\/(12\/(-3000)). Calculate the highest common factor of w and f.\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 12 + 0 = -4*q, 0 = 3*u + 2*q + 18. What is the third biggest value in -3, u, -0.1?\nAnswer: u","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -38541 = -11*t - 1130. Is t prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 20 + -17 - (0 + -2)?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*h + 3 = -2, -1746*c = -1749*c - 3*h - 42 for c.\nAnswer: -15","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let s(y) = -y**3 - y**2 + y - 25. What is s(0)?\nAnswer: -25","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Put -18, 0, 3\/5, -3\/4 in descending order.\nAnswer: 3\/5, 0, -3\/4, -18","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -1417, -1416, -1415?\nAnswer: -1414","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) 2\/15 (b) -13 (c) -2 (d) 2 (e) -139.98 (f) 0.4 (g) -0.4\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1519, -5\/4, -72, -0.3 in descending order.\nAnswer: 1519, -0.3, -5\/4, -72","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -563 - -560. Let w = -2069\/7 - -295. Sort w, d, 0 in ascending order.\nAnswer: d, w, 0","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 198 - (119 - 30 - -20)?\nAnswer: 89","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1649 divided by -2658.\nAnswer: -1649\/2658","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((i - i - i**3)*(4*i - 2*i - 3*i) + 3*i**4 - i**4 + 2*i**4 + 4*i**4 - 2*i**4 + 0*i**4)*(-40*i + 27*i - 9*i).\nAnswer: -154*i**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let s(y) be the third derivative of y**5\/2 + y**4\/2 - 36*y**2. What is the second derivative of s(f) wrt f?\nAnswer: 60","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*z - s + 10 = 0, -6*z + 4*s + 147 - 145 = 0 for z.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 258 = 10*t - 11*t + s, 10 = 5*s. Let n = t + 258. Calculate the least common multiple of 422 and n.\nAnswer: 422","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -32 - (-15 - 39) - -4.\nAnswer: 26","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -50*b**3*j**3*q**2 + 189*b**3*j**2*q**2 + 29*b**3*j**2*q + b**3 - 5*b**2*j**3 + b**2*q wrt q?\nAnswer: -100*b**3*j**3 + 378*b**3*j**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is 1992 bigger than 116?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: 4 divided by 41281\nAnswer: 4\/41281","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let x(s) = 9 + 6*s**2 + s**3 + 5*s**2 - 8*s - 3*s**2. Let y be x(-9). Which is greater: 2\/9 or y?\nAnswer: 2\/9","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.0023502 to five dps.\nAnswer: 0.00235","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is -3400 + 1?\nAnswer: -3344","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Work out 142 + 29264469036.\nAnswer: 29264469178","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 72 and 12?\nAnswer: 72","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 2774*q**5 - 132409*q**4 + 132409*q**4 - 1897*q wrt q?\nAnswer: 55480*q**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(k) = -k. Let q be w(-1). Suppose 0 = 2*d + 6, 2*i - 124 = -0*i + 4*d. Let s be -3 + 0 + i\/20. Is q < s?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(x) = -x. Let a(p) be the second derivative of p**3 - p**2\/2 - 2*p - 21. Calculate -a(g) - 5*v(g).\nAnswer: -g + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-4)\/(-5)*15\/54 + 11\/(1485\/(-9750)).\nAnswer: -72","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 10086 and 26845570.\nAnswer: 3362","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 4653 (base 7) in base 6?\nAnswer: 11520","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*d + 2*d = -3*i + 1, -5*i = 5. Let z be ((-153)\/(-18))\/(d\/2). Solve 12 = -3*r - 3*b, 0 = -4*r + 5*b - z - 8 for r.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 305 is divided by 30.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -f + 1 = l, -2*f = -5*f - 4*l. What is the least common multiple of f and 9?\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -21 - -21.5. Which is the closest to -2? (a) s (b) 0 (c) 5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 4 + 223 + -4418 + 4285.\nAnswer: 94","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Put -7, -133, -40 in decreasing order.\nAnswer: -7, -40, -133","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (-10)\/(-2) - (-1 - -3). Let u(p) = -5*p**2 - 4. Let l(f) = f**2 + 1. Calculate k*u(a) + 12*l(a).\nAnswer: -3*a**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let i(s) = 5*s**3 - 139*s**2 - 41*s + 51. Give i(28).\nAnswer: -313","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*o - 15 + 45 = -4*v, -2*v = o + 8 for o.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let o(q) = -2*q - 9. Let j be o(-4). Let t be ((-1)\/j)\/(3\/12). Solve t*h + 0 = -8 for h.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 2\/3? (a) 1 (b) -0.2 (c) 1\/8 (d) -2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 6\/5 of a centimeter in millimeters?\nAnswer: 12","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 2571.3 + -2714. Let w = 143.0131 + u. Round w to two decimal places.\nAnswer: 0.31","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (-3 - -2)\/((-1)\/36). Suppose -x + 20 = 5*g, 5*x = -q + 11. Put g, 3, 4 in ascending order.\nAnswer: 3, 4, g","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 51046387.69 to the nearest 1000.\nAnswer: 51046000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -29\/21 and (2409\/198)\/(-7 + 1).\nAnswer: 252","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -6 - 3 - o**3 + 6 wrt o.\nAnswer: -3*o**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -3? (a) 5 (b) 40 (c) 0 (d) 18\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 4322142301 (base 5) in base 3?\nAnswer: 122021021121111","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Expand (17*l - 22*l + 42*l + 18*l)*(-28*l + 57*l**3 + 28*l).\nAnswer: 3135*l**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:06 PM and 10:18 PM?\nAnswer: 252","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Factor 10*p**2 - 4*p**2 + 16*p + 7 - 23 - 10*p**2.\nAnswer: -4*(p - 2)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-975)\/(-985) - 5 - (-43 - -35)*1\/2\nAnswer: -2\/197","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is -7c (base 14) in base 12?\nAnswer: -92","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the sixth smallest value? (a) 2 (b) -0.1 (c) -3 (d) -1\/5 (e) 0 (f) -16\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is -2123 (base 4) in base 6?\nAnswer: -415","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Does 10 divide 163239?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 4712000 rounded to the nearest one hundred thousand?\nAnswer: 4700000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (-2)\/(-10)*(0 - 0 - 6). Sort c, -2\/19, 3\/4, 0.5.\nAnswer: c, -2\/19, 0.5, 3\/4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 18\/5 of a litre in millilitres?\nAnswer: 3600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {d: 3, x: 3, u: 1, b: 1, y: 5, n: 1}. Give prob of sequence bx.\nAnswer: 3\/182","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (12\/108)\/(2\/(-42))*3?\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let b be 4\/24*(-5 + 17) - -4. Let l(z) = z**2 + 3. Let a(n) = n. Let t be 26\/(-6) + 2\/6. Let k be a(t). Let c(v) = v**2 + 2. What is b*c(s) + k*l(s)?\nAnswer: 2*s**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1415*n = -1301*n + 2850 for n.\nAnswer: -25","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 17544815?\nAnswer: 5, 1063, 3301","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Express (j - 2 + 2)*(5*j + 0*j - 4*j) - 12*j**2 - 12*j**2 + 5*j**2 in the form z*j**2 + a*j + p and give z.\nAnswer: -18","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 9984246 is divided by 588?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: 0.4 * 374598\nAnswer: 149839.2","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is 1102 even?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve -12*m + 5930 = 6110 for m.\nAnswer: -15","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: 10310100301 (base 4) to base 6\nAnswer: 43021321","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -52.254 + 53.5. Round j to one dp.\nAnswer: 1.2","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand b**4 - 5*b**4 + 5*b**4 + (-1 + 2 - 3)*(6*b + b - 3*b)*((b**2 + b - b)*(6*b + b - 3*b) - b**3 - 10*b - 21*b - 1 + 29*b).\nAnswer: -23*b**4 + 16*b**2 + 8*b","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -3 - -4. Let t(d) = 2*d + 31. Let w be t(-16). Which is the smallest value? (a) w (b) 4\/9 (c) n\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -19 + 23. Let k = -44 - q. Let v = -53 - k. Which is the closest to -2\/7? (a) 0 (b) 4 (c) v\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 10\/540*27*(-752)\/8.\nAnswer: -47","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let t(a) be the third derivative of 2*a**7\/315 - a**5\/15 - a**4\/8 + 23*a**2. Let w(r) be the second derivative of t(r). What is the derivative of w(y) wrt y?\nAnswer: 32*y","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3 = -3*i, 0 = -w + 5*i + 20 + 38. Suppose -2*j = 2*j + 5*d + 122, 0 = -4*j + d - 134. Let a = w + j. What is the units digit of a?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 16 (base 11) to base 2.\nAnswer: 10001","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2686?\nAnswer: 2, 17, 79","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*u - 3 = 2*w - 7, 5*u + 3*w - 4 = 0 for u.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is -61000 rounded to the nearest 1000?\nAnswer: -61000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 204, 425, 662, 921, 1208, 1529, 1890?\nAnswer: 2297","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is -48 (base 12) in base 11?\nAnswer: -51","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -22660 + 33857. Is u prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_test"},"subset":"dm_maths"} +{"text":"Question: Let i = 6 - -8. Let w be 4\/i + 0\/(-3). Determine k so that 2\/7*k**2 + 0 - w*k**4 + 0*k**3 + 0*k = 0.\nAnswer: -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(n) = -4*n - 23. Calculate d(-7).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 39247\/23501 - 119\/71. Is 1 > z?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -0.1? (a) -3 (b) 0.3 (c) 4\/5 (d) 4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let v(l) = -12736*l + 127362. Calculate v(10).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -519094*c**3 + 512646*c wrt c.\nAnswer: -3114564*c","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (0 + 0)*(16 - 17). Let t = -3 + 2. What is the smallest value in t, j, -5?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*i + 3. Let f be (-3 + (2 - 3))\/i. Suppose m - y - 70 = -f*m, -y + 50 = 3*m. Is m a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*b + 2*b**2 + 2*b)*(-646 - 709 + 261 - 128).\nAnswer: -2444*b**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 1.286408 nanograms in kilograms?\nAnswer: 0.000000000001286408","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 10629147 to the nearest integer?\nAnswer: 220","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of -1699, -3400, -5099, -6796?\n\"Answer: b**2 - 1704*b + 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 588325 and 932?\nAnswer: 2353300","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 1142253731 to the nearest integer?\nAnswer: 33797","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -143 - -155. What is the common denominator of o\/(-18) + (-526)\/120 + 4 and -55\/8?\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j be 156\/72 - (3 - 18\/12). Solve -2\/3 - j*f**2 + 4\/3*f = 0.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 3089?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Sort -4, 365, 3 in decreasing order.\nAnswer: 365, 3, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve -221*i = -223*i - 3*x - 24, -4*i = -3*x - 24 for i.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Express (2*u - 1 + 1)*(-6*u**2 + 4*u**2 + 5*u**2) + 0*u + 0*u + 2*u**3 in the form y*u**3 + q*u + v + l*u**2 and give y.\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 596633871 to the nearest integer?\nAnswer: 24426","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (-3 - -7*5\/10)*1218. What is the highest common factor of o and 42?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 59\/52 and 87\/8?\nAnswer: 104","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let f(g) = -2*g**2. Let u(q) be the first derivative of -9*q**2\/2 + q - 23. Determine u(f(d)).\nAnswer: 18*d**2 + 1","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is -110100100001 + 11?\nAnswer: -110100011110","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of 18696, 33498, 48300, 63102, 77904, 92706?\n\"Answer: 14802*t + 3894","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is -46414 + -4?\nAnswer: -46420","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let r be 9 - 2\/(4\/6). Let z be (-289302)\/(-11) - r\/33. What is z rounded to the nearest 1000?\nAnswer: 26000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(b) = -b**2 + 55*b + 210. Calculate r(58).\nAnswer: 36","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -7 - -11. Suppose -o = g*p + 2 - 1, -o = -3. Let i be p\/(-4) + (-3)\/(-4). Which is greater: 3\/5 or i?\nAnswer: i","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -516*f**3\/7 + 4135232*f**2\/7 - 78447092*f\/7 + 1215240\/7 = 0 for f.\nAnswer: 2\/129, 19, 7995","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve 12 = 13*i - 10*i for i.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Expand 2*x**3 + 0*x**3 - 4*x**3 + (3*x**3 - 4*x**3 + 0*x**3)*(0 + 0 + 2) - 3861*x**3 - 4227*x**3 + 11100*x**3.\nAnswer: 3008*x**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 5380, 5219, 5042, 4843, 4616, 4355?\nAnswer: 4054","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 22 + 73. Suppose 100 = 2*q - 2*g, -3*q + 41 = 4*g - r. What is the lowest common multiple of 72 and q?\nAnswer: 144","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*o + 2 = 3*p, 0 = o - 3*o + 2*p - 4. Suppose -o*z + z - 304 = 0. Is 15 a factor of (z\/(-12))\/((-4)\/(-6))?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 3562?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -3*n**2*v + 71*n**2 - 2*n*v - 656*v - 2 wrt n?\nAnswer: -6*n*v + 142*n - 2*v","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let q(s) = 63*s - 28. Is q(19) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (-6 + 4)*(-2 + 6). Let v be (u\/(-28))\/(78\/42). What is the second biggest value in 3\/4, v, -2?\nAnswer: v","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: 15 divided by 3\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.0160872 to 3 decimal places.\nAnswer: -0.016","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 3? (a) -44.5 (b) 0 (c) -1 (d) -1\/8\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Sort -3, 2, -7, 4.\nAnswer: -7, -3, 2, 4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {l: 3, u: 2, r: 4, q: 1, f: 3, j: 3}. Give prob of sequence jrl.\nAnswer: 3\/280","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Round 20.79304 to the nearest integer.\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -23*h*j*s - h*j + 1203*h + 2932*j*s - 104136*s wrt j.\nAnswer: -23*h*s - h + 2932*s","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let p(g) = g**2. Let c(f) = -1209557519*f. Determine p(c(k)).\nAnswer: 1463029391769435361*k**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 1 in 35\/6, -1, -1\/4, 2\/5?\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -3*(2 + -1 + (sqrt(63) - (2 + sqrt(63))) + 2)*5*-6*4.\nAnswer: 360","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is (16\/(-256)*4)\/((-2)\/(-104))?\nAnswer: -13","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(b) = -b**3 + 8*b**2 + 18*b + 22. Determine c(10).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 19 + -17. Suppose -o*i = -g + 6, 3*g - 6 = g + i. Suppose -f - 4 = -g*f. Solve v + 24 - f = 4*b, b - 5 = 3*v for b.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 696*h**5 - 507*h**2 + 2*h - 3 wrt h.\nAnswer: 41760*h**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -15886 divided by 61.\nAnswer: -15886\/61","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of -383, -637, -889, -1139, -1387?\n\"Answer: c**2 - 257*c - 127","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:17 PM and 4:26 AM?\nAnswer: 609","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Subtract -15 from -777.\nAnswer: -762","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*a - 2 + 12 = -4*k, 4*k + 22 = a. Suppose a*r - 3*r = 0. Solve r = 6*q - 2*q + 4 for q.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3*m - 5*m + 3*m)*(-129 - 42 - 34).\nAnswer: -205*m","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 65413481?\nAnswer: 7, 1334969","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 20891982 to the nearest integer?\nAnswer: 275","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is 5144921071 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -948235, -948154, -948073, -947992, -947911?\nAnswer: -947830","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 54 is divided by 23.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 2324350 divided by 40075.\nAnswer: 58","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 1206827 to the power of 1\/2, to the nearest integer?\nAnswer: 1099","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*q = -m, 0 = 3*q + m + m. What is the second derivative of q*a**2 - 19*a**3 + 2*a**2 + 2334*a - 2225*a wrt a?\nAnswer: -114*a + 4","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(q) = -6*q**2 + 2*q - 1. Suppose 3*s + 5 = r, r + 3 = s + 4*s. Suppose -6 = -r*h + 11. Calculate y(h).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 143, 285, 427, 569?\nAnswer: 711","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1112 = 428*d - 5722 + 414 for d.\nAnswer: 15","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 690 and 184.\nAnswer: 46","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is 17 a factor of 257076458?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: 1131111 (base 4) to base 8\nAnswer: 13525","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:59 AM and 4:41 PM?\nAnswer: 342","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-78 + 54 + 40)*(3*k - 2*k + k)*(-129*k**2 + 90*k**2 - 84*k**2) + 3*k**3 - 5*k**3 + 9*k**3.\nAnswer: -3929*k**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (j**(-2\/85)\/(j*(j*j**(-1\/75)\/j)\/j))\/(j**(5\/11))**(1\/10) assuming j is positive.\nAnswer: j**(-1561\/28050)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let z(a) be the second derivative of a**5\/20 - 5*a**4\/12 - 2*a**3\/3 - a**2 + 5*a. Let x(g) = -g**2 - g. Calculate 4*x(q) - z(q).\nAnswer: -q**3 + q**2 + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in -6, -4, 2\/9, 3\/19, -5?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let f(u) be the first derivative of 2*u**5\/15 + 3*u**2\/2 - 9*u - 9. Let a(q) be the second derivative of f(q). Let s(c) = -c**2. Give s(a(p)).\nAnswer: -64*p**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 6973329.\nAnswer: 3, 11, 211313","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let v(h) = 2*h. Let l(n) = -3*n**2 - 5*n. Let j(r) = -2*r**2 + 0*r**2 - 5*r + 2*r. Let s(c) = 10*j(c) - 6*l(c). Give s(v(u)).\nAnswer: -8*u**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -12 + -41. Let v = 21 + c. Let b = v - -34. Solve -o - b*o + 5*x + 2 = 0, 0 = -3*o + 3*x + 6 for o.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 291?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in 27, 102, -0.4, -1\/5?\nAnswer: 102","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 32\/11 and 42.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let h(u) be the first derivative of 0*u**4 - 31*u + 0*u**2 + 16\/5*u**5 + 8 + 0*u**3. Differentiate h(q) wrt q.\nAnswer: 64*q**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 2\/15 in -2\/11, 0.03, -0.8?\nAnswer: 0.03","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let r(d) = -d**3 + 7*d**2 + 5*d - 4. Let f(s) = 6*s**3 - 35*s**2 - 26*s + 20. Let l(b) = 2*f(b) + 11*r(b). Let a = -25 - -18. Calculate l(a).\nAnswer: -25","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(f) = 18*f. Let x(q) = 33*q**2 + 11*q + 22. Let s(m) = -11*m**2 - 4*m - 8. Let v(t) = -11*s(t) - 4*x(t). Give c(v(o)).\nAnswer: -198*o**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*c + 5*j - 4*j + 16 = 0, -2*c = 3*j + 6. Solve -c*l = -5*v + 13, -5*v + 3*l = -v - 8 for v.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 135 + -131. Suppose -v + 3*u + 58 = w*u, -250 = -5*v + 5*u. Calculate the greatest common divisor of 2 and v.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 45806780?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(13) - (0 + sqrt(637))**2) + 4*(sqrt(468))**2 + sqrt(13).\nAnswer: 2*sqrt(13) + 1235","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -1 or -1\/24919?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -541 + 541.1. Let i = 0 - -0.4. What is the closest to v in -3\/2, -1, i?\nAnswer: i","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) -1 (b) 9.8 (c) -2735\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 228 and 319740?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 6354 + -6354. Suppose 3*d - 2*o = -11, -10 = 5*d + o + 4*o. Sort q, -17, d in increasing order.\nAnswer: -17, d, q","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 44, 40, 36, 32?\nAnswer: 28","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*r + 5*i = 207 - 949, 0 = -4*r + 5*i + 991. What are the prime factors of r?\nAnswer: 3, 83","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(g) = 11376*g**3 - 2*g**2 - 6*g + 12. Suppose 3*w = 33*w - 60. Let p be t(w). Round p to the nearest ten thousand.\nAnswer: 90000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l be 15\/(-21) - 2\/7. What is the tens digit of (2 + -5)*-87 - l?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 235*v + 3377 - 706 + 384 = 0 for v.\nAnswer: -13","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -1289783*a - 1210311?\nAnswer: -1289783","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 978098 to the nearest integer?\nAnswer: 99","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in -0.2, -0.055, 0.2, 115?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -1181330328 divided by -10554.\nAnswer: 111932","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let o(r) = 4*r + 0*r + 2*r - 5*r. Let i(w) = -6*w**2. Determine o(i(s)).\nAnswer: -6*s**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: -3.0381+911\nAnswer: 907.9619","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (-13835)\/75*85\/84. Let w = 1706\/9 + v. What is the common denominator of -21\/2 and w?\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: 1769 (base 16) to base 8\nAnswer: 13551","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let a(x) = -8*x - 78. Let y be a(11). Let z = -121 - y. What are the prime factors of z?\nAnswer: 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_test"},"subset":"dm_maths"} +{"text":"Question: Is 162681 a multiple of 22?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Divide -813 by 7.\nAnswer: -813\/7","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((o**(-3\/7)*o)\/o)\/(o**(9\/5)\/o)*(o*o**(-2\/9))\/o*o*o\/o**(-7) assuming o is positive.\nAnswer: o**(2378\/315)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 6620.\nAnswer: 2, 5, 331","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Does 9 divide 744012?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.0762186l in millilitres?\nAnswer: 76.2186","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let i be 3\/(-5) - (-20)\/75. Let j be (-1)\/((-19)\/(-150)) + 8. Which is the nearest to 0.2? (a) j (b) -1\/2 (c) i\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 5727 to the power of 1\/9, to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 0 + (5 - 1 - -1)?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Sort 7, -4, 1 in decreasing order.\nAnswer: 7, 1, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 65 - 320 = -5*k. Is 17 a factor of k?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of -1118103515, -1118103517, -1118103519?\n\"Answer: -2*d - 1118103513","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Put 0, 2\/13331, -0.5, 0.05, -3.3 in decreasing order.\nAnswer: 0.05, 2\/13331, 0, -0.5, -3.3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Divide 2 by 725335.\nAnswer: 2\/725335","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -3288653, -3288655, -3288657?\nAnswer: -3288659","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*q - 10 = 3*q, -q = 2*p - 46. What are the prime factors of p?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -18 = -5*g + 2*r, 0 = 12*g - 19*r + 18*r - 47 for g.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 13 + -4. Let f(v) = 13*v - 2*v**2 - 4*v**2 - j*v. Let y(x) = -7*x**2 + 3*x. Let s(d) = -6*f(d) + 5*y(d). Find the second derivative of s(m) wrt m.\nAnswer: 2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 43797942 to the power of 1\/3, to the nearest integer?\nAnswer: 352","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let w(f) be the second derivative of -f**6\/180 + 42*f**3 + f + 45. Let m(o) be the second derivative of w(o). Let x(s) = -9*s + 3*s - 4*s. Give x(m(p)).\nAnswer: 20*p**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is -2174 times 0.2?\nAnswer: -434.8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8*b + 20 = -12*b. What is the closest to b in 2\/9, 3\/8, 1\/3?\nAnswer: 2\/9","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 19136 a multiple of 92?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 46705755 and 690?\nAnswer: 345","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let b(x) be the first derivative of 3*x**5\/5 - x**4\/4 + 941*x**3\/3 + 1941*x**2\/2 - x - 142. Find the second derivative of b(y) wrt y.\nAnswer: 36*y**2 - 6*y + 1882","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 3252873?\nAnswer: 3, 13, 83407","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose j + 1247 = 4*x, 2*x - 4*x + 626 = 2*j. Suppose -347 = -g + x. Suppose 5*r - 3791 = g. What is r rounded to the nearest one hundred?\nAnswer: 900","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Product of -71273091 and -1.\nAnswer: 71273091","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0*o**2 - o**2 - 3*o**2)*(2*o**2 - 7*o**2 - 7*o**2) + (-3*o**2 - o**2 + 0*o**2)*(-2 - 1 + 5)*(-2*o - 2*o**2 + 2*o).\nAnswer: 64*o**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -2 + 4 + 9 - 10.\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let k be 54914 - (4 + -1 + -1). Let l = k - 34912. Round l to the nearest ten thousand.\nAnswer: 20000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 6186 or 6185?\nAnswer: 6185","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let t(c) = 3*c**3 + 10*c - 4. Let o(y) = -y**2 + 42*y - 7. Let d be o(42). Let q(h) = -h**3 - 3*h + 1. Determine d*q(j) - 2*t(j).\nAnswer: j**3 + j + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Round 2283.75 to the nearest ten.\nAnswer: 2280","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is 132819278 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 4012*u**3 - 23546*u**3 - 29180*u**3.\nAnswer: -48714*u**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 12563 and 17?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of -2026, -2029, -2016, -1987, -1942, -1881, -1804?\n\"Answer: 8*k**2 - 27*k - 2007","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Express 21*t**2 - 72*t**2 - 53*t**2 as x*t + b + a*t**2 and give a.\nAnswer: -104","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let h(v) = 8*v + 60. Determine h(-7).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is -1 < -8\/677?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between -3 and -2398.87?\nAnswer: 2395.87","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-5)\/(-3))\/((36\/16)\/((-15)\/20)).\nAnswer: -5\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve -9*b**4 + 7*b**3 + 11*b**2 - 7*b - 2 = 0 for b.\nAnswer: -1, -2\/9, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is -1310745350 times 0.4?\nAnswer: -524298140","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let -2*a**3\/5 - 8*a**2\/5 + 2*a\/5 + 8\/5 = 0. Calculate a.\nAnswer: -4, -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*r = 31 - 11. Let z(q) = -81*q + 1 - 85*q + 248*q + 1 - 80*q. What is z(r)?\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 54\/5 of a day in minutes?\nAnswer: 15552","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Sort -5, 43, 0, -3, 791, 9, -2.\nAnswer: -5, -3, -2, 0, 9, 43, 791","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 197334, 394611, 591888?\nAnswer: 789165","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let w(u) = -19*u + 25. Let j(o) = 6*o - 9. Let x(f) = -7*j(f) - 2*w(f). Let s(v) = 8*v**2. Give s(x(l)).\nAnswer: 128*l**2 - 832*l + 1352","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 14 in 1\/5, -33, -73, -9?\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 5 + 2 + (sqrt(112) + 3)*1 + 6*(4 + sqrt(112)*-4)*5.\nAnswer: -476*sqrt(7) + 130","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 183176665 to the power of 1\/2, to the nearest integer?\nAnswer: 13534","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve g**4\/5 + 20332*g**3 + 4267956*g**2\/5 = 0 for g.\nAnswer: -101618, -42, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -57.4 in -2, 0.1, 3\/5, -0.5?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 841 - 580. Suppose 5*f = 71 - a. Let j = f - -122. What is the remainder when j is divided by 17?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(q) = q + 7. Let m be h(-5). Solve m*t - t = 2*i + 10, -4*i = t + 8 for t.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -1? (a) -0.2 (b) 9.2 (c) -9933 (d) 4\/5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Factor -3*u**3 - 1095*u**2 + 4443*u + 5535.\nAnswer: -3*(u - 5)*(u + 1)*(u + 369)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -1253 + 1357. Does 13 divide d?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -13.905*7117.\nAnswer: -98961.885","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-1 + -2 + sqrt(208) - sqrt(208))**2.\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3*o**3 + 4*o**3 + o**3)*(3*o**2 - 3*o**2 - 2*o**2) + 1170117*o - o**3 - o**4 - 1170117*o - 2*o**5.\nAnswer: -6*o**5 - o**4 - o**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let w be 7\/7 - (-4 - -1). Suppose 3*h - 16287 = -w*d, -3*h - 4*d = -9*d - 16314. Is h composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -200 = 19*l - 24*l. Suppose -3*u = -28 + l. Which is smaller: u or -44\/13?\nAnswer: u","meta":{"dup_signals":{},"source":"comparison__pair_composed_test"},"subset":"dm_maths"} +{"text":"Question: Let n be (12\/(-15))\/(1\/(-35)). Suppose -2*d = 4*f - d - n, 3*f - 4*d = 2. What is the remainder when f is divided by 3?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 15559 is divided by 18.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from mmuccukku. What is prob of sequence ckum?\nAnswer: 1\/126","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*x + x - 4*x)*(3*x**3 + 0*x**3 - 2*x**3) + 4*x**4 - 3*x**4 + x**4 - x**4 - x**4 + 4*x**4 - 72143 + 585*x**4 + 72143 + 0*x**4 + x**4 - 5*x**4.\nAnswer: 584*x**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 1256 - 863. Put -0.5, 5, z in decreasing order.\nAnswer: z, 5, -0.5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 7193, 29007, 65365, 116267, 181713, 261703?\nAnswer: 356237","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand -1 + 1 - 2*b**3 + 2*b**3 + 0*b**3 - 3*b**3 + b**3 - b**3 - 2*b**3 + (0 - 3 + 2)*(-3*b**3 + 4*b**3 - 2*b**3) - 3 + 3 + 2*b**3.\nAnswer: -2*b**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-212)\/742)\/((-40)\/(-14))*112\/(-70)?\nAnswer: 4\/25","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -786*s**4 - 3*s**3 - 3*s**2 + 5*s + 232603.\nAnswer: -3144*s**3 - 9*s**2 - 6*s + 5","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in -16432, -13, -5?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Convert 23 (base 4) to base 10.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let s be 0 + -1 - (0 - 1). Let p = -177 + 180. Suppose 127 = p*w + 121. Solve -o = g + o + 6, s = -2*g + w*o for g.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w be 1\/(((-25)\/50)\/(2\/32)). Let d = 5 + -5.5. Let r = d - 0. What is the biggest value in w, r, -1?\nAnswer: w","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 887927464 at least as big as 887927464?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let s(n) = -2*n + 11. Let q be s(4). Sort q, 4, 5 in descending order.\nAnswer: 5, 4, q","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (y\/(y**(-3)\/y))\/y**3*(y\/(y\/(y\/(y**(-1\/3)*y)))*y)**(8\/9) assuming y is positive.\nAnswer: y**(86\/27)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is 174448741 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0.1 in 12, -1, 4\/7, -3?\nAnswer: 4\/7","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((p**(5\/2)\/p)**(-1\/16))**(40\/7))**(-41) assuming p is positive.\nAnswer: p**(615\/28)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is -42 divided by -7311324?\nAnswer: 7\/1218554","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -147 - v**4 - 3*v**2 - 28*v - 2*v**3 + 113 + 29*v to c*v**3 + o*v**2 + x*v + f*v**4 + g and give c.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 1030878 and 9738.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Sort 286, -437, 3 in ascending order.\nAnswer: -437, 3, 286","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let s(o) = -407*o - 5. Let h be s(-4). Let f = h - 3323\/2. Find the common denominator of f and 83\/10.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -1.1407977 rounded to 3 dps?\nAnswer: -1.141","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 916330.\nAnswer: 2, 5, 43, 2131","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 z and 1 k when two letters picked without replacement from fzkpw?\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let f(r) = -2*r**3 + 365*r**2 + 524*r + 5045. Give f(184).\nAnswer: -107","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (h\/((h**(-2\/5)*h)\/h)*h*h**(-2\/15)*h)\/((h*h\/(h*h**(-2)))\/(h**(-2\/133)*h)) assuming h is positive.\nAnswer: h**(2497\/1995)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -180*m + 282*m + 297*m + 154*m + 345*m.\nAnswer: 898*m","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (4 + 1\/1)\/1. Suppose n - 2 = c*n + 3*w, -5*n + 2*w - 14 = 0. Let l = n + 27. Calculate the greatest common factor of l and 275.\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 176022651.\nAnswer: 3, 7, 1197433","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 2.82308 millilitres in litres?\nAnswer: 0.00282308","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let g(u) = 66*u**2 - 54*u - 27. Let d(i) = 5*i**2 - 4*i - 2. Let w(n) = -27*d(n) + 2*g(n). Let r(y) be the second derivative of y**3\/3 - 4*y. Calculate r(w(z)).\nAnswer: -6*z**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Express 75*j**2 - 76*j**2 + 3*j**3 - j**3 in the form k*j + v + z*j**2 + d*j**3 and give d.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 188182444 to the power of 1\/4, to the nearest integer?\nAnswer: 117","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of -12467, -12467, -12471, -12479, -12491, -12507, -12527?\n\"Answer: -2*a**2 + 6*a - 12471","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let d(m) = -m**3 + 17*m**2 + m - 43. Let r be d(17). What is the units digit of r - -26 - (1 + -470)?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 0 + 0.1. Let k = 5.1 - 8.2. Let a = 6.1 + k. What is the nearest to c in -0.2, a, 0.3?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(t) = -10*t - 28. Let h be x(-3). Let y(a) = -4*a**2 + h*a**2 + 51*a - 51*a. Let m(r) = -12*r**2. Calculate y(m(n)).\nAnswer: -288*n**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is 12402007711 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -10 + 12. Solve -g + 2*x - 1 = -3, -z = -4*g + 2*x for g.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(c) = -8*c + 107. Let d(k) = -2*k + 27. Let x(l) = -4*l**3 - 9*l**2 + 19*l + 21. Let n be x(-3). Calculate n*d(w) + 2*z(w).\nAnswer: 2*w - 29","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth root of 1369 to the nearest integer?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let i(z) = 6*z**2 + 34*z + 40. Is i(18) a multiple of 22?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 10063 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 49\/2 - 351\/14. Which is the closest to -0.2? (a) 0.3 (b) 2 (c) x\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 61*r**2 + 53*r**2 - 110*r**2.\nAnswer: 4*r**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -1.2 - -1. What is the closest to b in -1\/5, -1\/6, 1\/8?\nAnswer: -1\/5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*b - 19 = x, -4*x - 10 = -4*b + 6*b for b.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is 225333701 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((b\/(b*b**(1\/2)))\/b)**(-20)\/((b*((b**(-1\/13)\/b)\/b)\/b*b)\/b**(-3)) assuming b is positive.\nAnswer: b**(365\/13)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence nn when two letters picked without replacement from nrrusnrsnn?\nAnswer: 2\/15","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is (3 - 8) + (-1 - (-2 - -1))?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*v + 6, -2*v - 18 = 3*p + v. Suppose 9 + 2 = c. What is the remainder when p - (2 + 1 + -47) is divided by c?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (j - 2*j - 2*j)*(0*j - j + 0*j)*(-35169 + 35169 - 1379*j) in the form y*j**2 + x*j**3 + s + h*j and give x.\nAnswer: -4137","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let 21*k**5\/4 - 69*k**4\/4 - 297*k**3\/4 - 267*k**2\/4 - 6*k + 9 = 0. What is k?\nAnswer: -1, 2\/7, 6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let f(b) be the first derivative of 14*b**2 - 5. Let j(g) = g**2. Determine f(j(r)).\nAnswer: 28*r**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (p + 0*p - 3*p)*(7*p + 8*p - 19*p) + 3*p**2 - 133*p**2 - 125*p**2 to the form o*p**2 + y*p + a and give o.\nAnswer: -247","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let g(n) = 24*n - 15. Let b be g(5). Let f be ((-3)\/1)\/((-3)\/b). Let m = f - 38. What are the prime factors of m?\nAnswer: 67","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 0.04, 5, 10988, 19 in descending order.\nAnswer: 10988, 19, 5, 0.04","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -1859622 + 2655622. Round f to the nearest 10000.\nAnswer: 800000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(l) = -3*l**2 + 4*l - 3. Let v(f) = -26*f**2 + 32*f - 12. Let c(a) = 9*a**2 - 11*a + 4. Let y(u) = 17*c(u) + 6*v(u). Give -4*h(t) + 3*y(t).\nAnswer: 3*t**2 - t","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -0.2? (a) -1 (b) -3 (c) 1103548\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 351 and 81087?\nAnswer: 9487179","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 1 + 4. Suppose -1 = -c - 5. Let b(w) = -w**2 - 4*w + 3. Let n be b(c). Solve f = -n*s - 1 for s.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {a: 2, f: 2, v: 2, o: 3, b: 4, l: 1}. What is prob of sequence vaoa?\nAnswer: 1\/2002","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*x + 2*s = 242, -51 = x - 2*x - 3*s. What are the prime factors of x?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 5778 greater than or equal to -1408?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Factor -3*m**4 + 183*m**3 + 576*m**2.\nAnswer: -3*m**2*(m - 64)*(m + 3)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 18\/4465 and 34\/29875315.\nAnswer: 29875315","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from yfcbyobfw. What is prob of sequence wyy?\nAnswer: 1\/252","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (5 + 8 - 1)*(-1 - 1 + 3)*(0*c**2 + 2*c**2 - c**2)*(5*c - c - c) to the form o + w*c**3 + y*c**2 + r*c and give r.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Find j such that -2*j**5 - 8*j**4 + 24*j**3 - 4*j**2 - 22*j + 12 = 0.\nAnswer: -6, -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*d = 3*k - 44, 4*d = -2*k - 3*k + 72. Let o(w) = 4*w - 50. Calculate the remainder when 26 is divided by o(k).\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -13 + 25. Let d = 0.11 - 17.11. Let i = d + a. Which is greater: i or -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(o) = -o**3 + 4*o**2 + 2*o - 1. Let g = 351 - 330. Suppose -3*y - 198 = -g*y. Calculate the smallest common multiple of y and z(4).\nAnswer: 77","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -63*s - 244 - 1079 for s.\nAnswer: -21","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is 219216 bigger than 41?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 r and 2 s when three letters picked without replacement from jjjjrjssssjqjjsj?\nAnswer: 1\/56","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {k: 3, z: 4}. Give prob of picking 3 z.\nAnswer: 4\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Does 405 divide 174555?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(1331) - (sqrt(1331) + 3 + sqrt(1331))**2)*5 - -2*(sqrt(1331)*2 - sqrt(11)).\nAnswer: -26665 - 563*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 468 and 17847492?\nAnswer: 156","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let p(i) = -i**2 - 8*i - 1. Let t be p(-6). Suppose 5*u - 49 - t = 0. Is u a multiple of 6?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence gz when two letters picked without replacement from {z: 4, d: 6, g: 3}.\nAnswer: 1\/13","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 2152, 4303, 6454, 8605, 10756?\nAnswer: 12907","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 o and 1 l when two letters picked without replacement from {l: 3, a: 6, s: 2, o: 1, k: 1}.\nAnswer: 1\/26","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*h + n - 5, 0 = h - 0*h - 2*n + 5. Let g be ((4316\/(-9))\/(-1))\/(-29 + 26). Let u = -160 - g. Is u < h?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 10079157.\nAnswer: 3, 11, 43, 7103","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -14116 - 29760 = 143*k - 11558. Put 8, -4, k, 3 in descending order.\nAnswer: 8, 3, -4, k","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 0.222 + -0.2155. Let z = a - 0.006499887. Round z to 7 decimal places.\nAnswer: 0.0000001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 996?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -10*d + 11*d - 2. Solve 0 = s - d*v + 2 + 2, 3*s - 5*v + 9 = 0 for s.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 235497451\/552 + -426626. Find the common denominator of d and 14\/33.\nAnswer: 6072","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 472 minutes after 6:12 PM?\nAnswer: 2:04 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 9984?\nAnswer: 2, 3, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Factor -i**4 + 168*i**3 + 3252*i**2 + 17696*i + 29760.\nAnswer: -(i - 186)*(i + 4)**2*(i + 10)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 7 - (8 - (27 - 18 - (-1 + -2)))?\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose b - 15 = -a, 4*a - b = a + 53. Differentiate -68 - 26 + 29 + 14*p - a*p wrt p.\nAnswer: -3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 5 + (4 - 3 - (6 + -2)).\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 225800 is divided by 1481?\nAnswer: 688","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*o - 2*o + 16. Let j = o - 4. Let v = -190.1 - -190. What is the third smallest value in j, -3, v?\nAnswer: j","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(c) = 21*c**2 - 8*c + 75. Let m be k(5). Suppose 2*b + 5*y = b + 192, 3*b = y + m. Calculate the highest common factor of b and 34.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 3422?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let d(v) be the second derivative of v**5\/20 + 7*v**4\/6 - 8*v**3\/3 - 10*v**2 + 44*v + 1. What is d(-15)?\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -i**2 - 6690*i - 11189025.\nAnswer: -(i + 3345)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5478 + 16377 = 15*m. What is the units digit of m?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*m = i + 7, -3*m = 2*m - 2*i - 11. What is the greatest common divisor of 7 and m?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 467, 847, 1489, 2399, 3583?\nAnswer: 5047","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 1542149?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let h(x) = 2*x**2 - 2*x - 4. Let u be h(-4). Let v = -16 + u. What is the highest common divisor of v and 4?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.2943 - 3?\nAnswer: -3.2943","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 2634 in -11, -55, 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*b + 0 + 10 = 0. Find the common denominator of -67\/9 and 1428\/35*b\/(-16).\nAnswer: 90","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 7.709 + -7.7. Let m = o - 0.0089627. What is m rounded to 5 dps?\nAnswer: 0.00004","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1184848741 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let c(s) be the second derivative of 1\/30*s**5 + 9*s - 23*s**2 + 1\/4*s**4 + 0 - 4\/3*s**3. Let g(y) be the first derivative of c(y). Solve g(p) = 0.\nAnswer: -4, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*b - y = 4*y + 115, 5*b + y = 97. Let d(s) = s + b*s + 12*s. Let u(h) = -5*h**2 - 8*h**2 + 57*h**2 - 45*h**2. Determine d(u(v)).\nAnswer: -33*v**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is -17015 divided by 5?\nAnswer: -3403","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 641820830 to the power of 1\/2, to the nearest integer?\nAnswer: 25334","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Convert -232218 (base 9) to base 13.\nAnswer: -4b5c6","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 14320387 is divided by 10?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 f and 2 a when four letters picked without replacement from {f: 9, a: 2, h: 4, e: 3}?\nAnswer: 1\/85","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let y(u) = 3*u - 1. Let z be y(5). Suppose -3*g - z = -5. Let i(f) = f**2 + 2*f. Let c be i(g). Solve 3*w - 2 = -2*s, 0 = -2*w + 8*s - c*s - 24 for w.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*g = 2*g - 48. Let b(c) = -5*c**2 - 3*c - 10. Let h be b(-2). Let r be h\/g - 6\/4. Solve -l - 3*u + u - 6 = r, 2*u = 4*l - 26 for l.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(w) = 3*w**2 + 533. Let f(x) = 2 + 74*x**2 + 71*x**2 - 148*x**2 - 2. What is f(h(l))?\nAnswer: -27*l**4 - 9594*l**2 - 852267","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Convert 5539.257 centimeters to nanometers.\nAnswer: 55392570000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Expand (26*r - 21*r**2 - 20*r**2 + 39*r**2 + 3*r**2 - 3*r**2 + 2*r**2 + (-r + 2*r - 2*r)*(0 + 0 + r))*(2*r + 8 - 8).\nAnswer: -2*r**3 + 52*r**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*x - 40 = 14*w - 10*w, 3*x - 42 = 4*w. Let q(o) = o + 7. What is q(w)?\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of g**3*y + 11528*g**3 - 90*g*y + 10*g - y + 2 wrt g.\nAnswer: 6*g*y + 69168*g","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let t be 5\/2*(-36)\/10. Let p be (-3)\/(t\/2 - -3). Let f = 1135 - 1115. Solve 2*u = -p*u + f for u.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 29170*d**2 + 57014*d**2 + 14472*d**2.\nAnswer: 100656*d**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve -93*x = 26*x + 546 + 406 for x.\nAnswer: -8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 733630 rounded to the nearest 1000?\nAnswer: 734000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: -0.6*-0.0529884\nAnswer: 0.03179304","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: How many kilograms are there in 0.7295261 tonnes?\nAnswer: 729.5261","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: How many milligrams are there in 7\/2 of a gram?\nAnswer: 3500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 17*m**5 + 289*m**3 + 18*m**2 - 46.\nAnswer: 1020*m**2 + 1734","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let p(o) = -21*o + 127. Give p(-5).\nAnswer: 232","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -6086 - -6093.986. Let t = v + -8. Round t to two decimal places.\nAnswer: -0.01","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 19\/139 + -373\/695. Which is the smallest value? (a) x (b) 2 (c) -5 (d) -1\/2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) -0.23 (b) 5 (c) -1\/2 (d) -36\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: 1 divided by 558\nAnswer: 1\/558","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve 17 = -2*p + 3 for p.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Expand (26*c + 28*c + 25*c + 350*c**2 - 79*c)*(0*c - c - c).\nAnswer: -700*c**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is 12 - 32302201?\nAnswer: -32302123","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Factor 3*m**2 - 36*m + 108.\nAnswer: 3*(m - 6)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:26 AM and 12:03 PM?\nAnswer: 97","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Work out 348 * -0.5.\nAnswer: -174","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 1*(sqrt(72) + -1 - sqrt(72))**2 + (sqrt(72) - (sqrt(72) + 0))*2 + (sqrt(128) - 2*sqrt(128))\/((sqrt(144)\/sqrt(4))\/sqrt(9) + sqrt(4)).\nAnswer: -2*sqrt(2) + 1","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let k(y) = y + 1. Let n be k(2). Suppose 0 = 5*j - 2 - 3, n*o = 2*j + 4. Suppose 86 - 16 = o*f. What is the tens digit of f?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (6 - 10 - (-3 + 1 + 4)) + -2?\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: 21287197 - -73018\nAnswer: 21360215","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from cmcczzhecchc. Give prob of sequence ze.\nAnswer: 1\/66","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the ninth root of 2692454 to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (1 - 83\/2)*((-3760)\/240 - -15).\nAnswer: 27","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0.2? (a) -0.04 (b) 3 (c) -2009 (d) 49.3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 22501759, 22501763, 22501769, 22501777, 22501787, 22501799, 22501813?\nAnswer: 22501829","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 3.463 + -3.363. Which is smaller: a or -0.2872?\nAnswer: -0.2872","meta":{"dup_signals":{},"source":"comparison__pair_composed_test"},"subset":"dm_maths"} +{"text":"Question: Solve 3*g - 3 = 4*g for g.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*u + 3*u + 3. Suppose u*m = m + 8. Solve -2*k + 4 = -m for k.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(14)\/(sqrt(7) - sqrt(21)\/(sqrt(3)*-1 - sqrt(3))).\nAnswer: 2*sqrt(2)\/3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 15841 and 2676983?\nAnswer: 73","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence elm when three letters picked without replacement from {h: 2, m: 5, e: 1, l: 3, t: 1}.\nAnswer: 1\/88","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let r be 3 + 3*2\/6 + -3. Let y be (r + -1 - 3) + 3. Solve y = -0*j + j - 2*n - 4, -4*j - 2*n + 16 = 0 for j.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Add -0.0459 and -0.9.\nAnswer: -0.9459","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 29.59*1.\nAnswer: 29.59","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 200 (base 5) in base 2?\nAnswer: 110010","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in 0.14, -1\/9, -589?\nAnswer: -589","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {x: 4, y: 2, q: 8, l: 1, g: 1}. Give prob of picking 2 x and 1 q.\nAnswer: 3\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*w - 6, -3*z - 3*w + 7 - 1 = 0. Let p = -31 + 64. Suppose z = -2*a + 5*a - p. List the prime factors of a.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -6.3 + 6.5. Let x = 0.04 - 0.34. What is the second biggest value in x, 0.5, u?\nAnswer: u","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 4*w**5\/7 + 24*w**4\/7 - 16*w**3\/7 - 136*w**2\/7 + 204*w\/7 - 80\/7.\nAnswer: 4*(w - 1)**3*(w + 4)*(w + 5)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -304 - -559. Suppose 0 = -39*t - 204 + 13464. Calculate the highest common factor of t and h.\nAnswer: 85","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*v + 5185 = 5155. Solve 0 = -5*l + v*x - 7*x + 25, 5*x = 5*l + 10 for l.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -572335 bigger than -571946?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve -10 = -j - 2*y, j + 11 = -5*y + 42 for j.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1134 is divided by 268?\nAnswer: 62","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: How many grams are there in 3\/8 of a kilogram?\nAnswer: 375","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 92 - 74 = -6*o. Let h(c) = -c + 2. Let r be h(0). Sort 4, o, r in descending order.\nAnswer: 4, r, o","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 108 divide 314416738?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -2460054 or -2460053?\nAnswer: -2460053","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 0 + ((sqrt(44) - sqrt(440)\/(sqrt(30)\/sqrt(3)))\/sqrt(2))\/(sqrt(20)\/(sqrt(50)\/sqrt(5) + sqrt(10) + sqrt(10))*4).\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence gm when two letters picked without replacement from gimmiigmm.\nAnswer: 1\/9","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let w(m) = m + 14. Let b be w(-10). Let c(k) = -2*k + 0*k + k - b. Let l = 8 - 11. Calculate c(l).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 20213 + -20224.211. What is t rounded to 1 decimal place?\nAnswer: -11.2","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 16 and 584557816.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve -262*a + 3398 = 778 for a.\nAnswer: 10","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 1 + (sqrt(1539) + sqrt(1539)*4 + 0 - (sqrt(1539) - ((sqrt(1539) + 0)*1 + sqrt(1539))))**2.\nAnswer: 55405","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is 22051 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-39)\/715*5*11.\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Put together 7 and -279303.76.\nAnswer: -279296.76","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let u(w) = 3*w**3 - w**2 - w - 5. Let v be u(5). Let g = v - 241. Calculate the greatest common divisor of 9 and g.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-1)\/1)\/((-22)\/(-4))?\nAnswer: -2\/11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 2661?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (-2 + -2)*8\/(-80). Let f = 4 + -18. Let b = 2.825 + 0.175. What is the closest to 1 in f, l, b?\nAnswer: l","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(u) = 2*u. Let b = 82 + -82. Suppose b = -3*y - 25 + 79. Let j(p) = -55*p**2 + 30*p**2 + y*p**2. Determine j(s(h)).\nAnswer: -28*h**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-13)\/(-39))\/(2\/((-18)\/1)).\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let p(c) = -29*c - 182. Let l(f) = 19*f + 113. Calculate -7*l(i) - 5*p(i).\nAnswer: 12*i + 119","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of 12, 44, 76?\n\"Answer: 32*u - 20","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 228 and 13980.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 70 and 16945.\nAnswer: 237230","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let n(f) = f**3 + 15*f**2 - 19*f - 39. Let b be n(-16). Suppose -4 = b*y - 4. Solve -r + 5*r + 20 = y, -i = -r - 7 for i.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -k = 3*k + 12. Let v be -1 + 0\/2 + k. Let d be (-3)\/(3 + v) + 0. What is the greatest common divisor of 15 and d?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: 87 + -77 - (-1 + 0 + 6)\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1143 is divided by 48?\nAnswer: 39","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Divide -12 by 39753491.\nAnswer: -12\/39753491","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 10 + -1. Suppose -b = -j - 3. What are the prime factors of j?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is 67 + 25?\nAnswer: 90","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) 2\/7455 (b) 12.5 (c) 3 (d) 1\/3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Total of -956145457 and 1.8.\nAnswer: -956145455.2","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let l(q) be the first derivative of q**2 - 19*q - 1228. Let v(w) = -8*w - 4. Let f be v(-3). What is the tens digit of l(f)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((r*r**0\/r*r*r*r)\/(r**(4\/3)\/r))\/((r*r**(-1\/8))\/((r**(-5)\/r)\/r*r)) assuming r is positive.\nAnswer: r**(-101\/24)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: -92.7 * 0.2804\nAnswer: -25.99308","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 2179 is divided by 104?\nAnswer: 99","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of 200, 275, 472, 851, 1472, 2395, 3680?\n\"Answer: 10*u**3 + u**2 + 2*u + 187","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 248 and 6?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 5 + -1. Find the first derivative of 6*h**4 - 1 + 0*h**s - h**4 wrt h.\nAnswer: 20*h**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1874091749.\nAnswer: 1874091749","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Put 26, -5, 31, 3 in decreasing order.\nAnswer: 31, 26, 3, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 261604.\nAnswer: 2, 7, 9343","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*w = -n + 3 + 7, 4*n + 3*w - 13 = 0. Let p be (2\/(-4))\/((-2)\/(-8)). Is (n\/2)\/(p\/(-1228)) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(a) = 4*a + 2187. Let g(l) = l. Determine w(g(z)).\nAnswer: 4*z + 2187","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 309570?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2 = -4*x + 2. Let u(b) = 19*b**3 + 2*b**2 - 2*b + 1. Let z be u(x). Let r be 2\/8 + z\/(-16). Is 0 equal to r?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*d = -4, 2*j - 3*d - 167 = 203. What are the prime factors of j?\nAnswer: 2, 7, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(s) = -s**3 - 43*s**2 + 10877*s - 527. Calculate x(-128).\nAnswer: -143","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Put 78, 23, -20, 975 in increasing order.\nAnswer: -20, 23, 78, 975","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is -1258 divided by -34?\nAnswer: 37","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 118621445 to the power of 1\/2, to the nearest integer?\nAnswer: 10891","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is -82100 rounded to the nearest 10000?\nAnswer: -80000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 2298 is divided by 458?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -417 + 722. Is g a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in 3\/7, 1, -7, -1\/4, 1\/8?\nAnswer: 3\/7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 48886.\nAnswer: 2, 24443","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((o*(o\/((o\/(o*o*o\/(o*o*(o\/(o\/(o\/((o\/(o\/(o*o\/((o\/(o*o**1*o))\/o*o)*o)))\/o)*o)))\/o*o)*o))\/o))\/o)\/o)\/o**(-5\/8) assuming o is positive.\nAnswer: o**(37\/8)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is -15712 <= 2?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 75887 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: Rearrange -995*w + 384*w + 9899*w + 5251*w to k + c*w and give c.\nAnswer: 14539","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*n + 7*n - 1415 = 0. Let x = n - 128. What are the prime factors of x?\nAnswer: 5, 31","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1291169506.\nAnswer: 2, 11, 71, 826613","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:55 AM and 1:05 PM?\nAnswer: 430","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 27 and (-186)\/(-36)*18\/1.\nAnswer: 837","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-43 + 21 - 14)*(-2*s - 2*s + 3*s) to the form m + g*s and give g.\nAnswer: 36","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose s + 9 + 158 = 0. Let p = s - -665\/4. Which is the smallest value? (a) -0.18 (b) p (c) 0.3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(h) = 3*h**2 - 28*h - 16. Calculate the smallest common multiple of b(14) and 12.\nAnswer: 180","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 113079862?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in 0, 5, -4?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 152 is divided by 16?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: -65 times 0.1\nAnswer: -6.5","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: (0 - 17) + (-368 - -387)\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 71305?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -2\/1925 + 7527\/1925. Calculate the common denominator of s and -29\/12.\nAnswer: 132","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 2*x - 2*q - 2, 17*x - 3*q + 1 = -12*x + 25*x for x.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose k + 3*f = -69, 0*k - 3*k - 2*f = 221. Suppose 78 = -0*w + w. Let l = w + k. Solve -o + l*o - 10 = 0 for o.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -153*u**5 + 79*u**5 - 156*u**5 + (-2 + 2 + u**2)*(3*u**3 - 28*u**3 + 3*u**3).\nAnswer: -252*u**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is -1011000 + 100110000?\nAnswer: 11011000","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*q + q = -3. Suppose 2*h + 7 = 3*h - q*d, 5*h - 75 = -5*d. What is the remainder when 51 is divided by h?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((u**(-1\/7))**(-22))**(3\/7) assuming u is positive.\nAnswer: u**(66\/49)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) 1\/76 (b) -2\/5 (c) 0.135 (d) 0.2 (e) 3\/23\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-1)\/8 - (-3)\/72*3.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((s**(1\/3))**46*(s\/(s\/s**(1\/6)))\/s*(s**(-4)*s)\/s)\/((s\/(s*s\/s**2*s)*s)**(-2\/11))**(15\/7) assuming s is positive.\nAnswer: s**(1677\/154)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 1\/4? (a) 3 (b) 5 (c) -3\/4 (d) 6 (e) 63\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let o be 60\/16 + 1\/4. Let d = 1 + -1. Suppose d = 4*w - o. Let x(y) = y**3 - 2*y + 1. Determine x(w).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 39476 is divided by 12976.\nAnswer: 548","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let j(d) be the third derivative of 0*d + 2\/3*d**3 + 1\/240*d**5 + d**2 - 1\/12*d**4 + 0. Suppose j(c) = 0. What is c?\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(r) be the first derivative of 278*r**5\/5 + r**4\/4 + 2*r**3\/3 + 84*r**2 + 5*r + 3385. What is the third derivative of y(q) wrt q?\nAnswer: 6672*q + 6","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 2*d**3*g - 22077*d**3 + 6706*d**2*g wrt g.\nAnswer: 2*d**3 + 6706*d**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 119395 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 265 minutes before 6:38 AM?\nAnswer: 2:13 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -126.3 + 126.299431. What is h rounded to 3 decimal places?\nAnswer: -0.001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: -7357*1110\nAnswer: -8166270","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {t: 1, i: 1, y: 1}. What is prob of sequence yt?\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 257372*g - 261920 wrt g?\nAnswer: 257372","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:05 PM and 11:56 PM?\nAnswer: 291","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 17 - 3. Which is smaller: k or -2\/3?\nAnswer: -2\/3","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out 4562541 + 0.31.\nAnswer: 4562541.31","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Add together 3870148992 and 18.\nAnswer: 3870149010","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 230 and 1065.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 7928035.\nAnswer: 5, 17, 19, 4909","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let u(m) = -4535*m - 72569. What is u(-16)?\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve -60 = -107*d + 117*d for d.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is -1101001110110 (base 2) in base 15?\nAnswer: -2019","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -68 = -4*d - 4*v, -2*d - 4*v + 20 + 18 = 0. Does 10 divide d?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 92910 and 23370?\nAnswer: 570","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-192)\/(-240))\/(7\/((-105)\/(-66))).\nAnswer: 2\/11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: 130 divided by 65\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is -486108433.97 take away 0.03?\nAnswer: -486108434","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 2373 is divided by 145?\nAnswer: 53","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 595 minutes before 8:17 PM?\nAnswer: 10:22 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {p: 4, a: 6}. Give prob of sequence pa.\nAnswer: 4\/15","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is -2.526335 times -3?\nAnswer: 7.579005","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (1\/1)\/((-3)\/(-66)). What is the highest common divisor of h and 2?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -152172 divided by 3?\nAnswer: -50724","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Factor 241 + 72*p + 182 + 3*p**2 - 354.\nAnswer: 3*(p + 1)*(p + 23)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(m) = -m + 24. Let c be u(-11). Let x = c + -16. Let j = 13 - -24. What is the remainder when j is divided by x?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -0.4144 - 0.0016. Round t to the nearest 10.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7 = -d + 5*t, 3*d = 2*t - 1 + 6. Suppose d*b + 2148 = 15*b. What is the hundreds digit of b?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -31 - -23. Sort -5, t, -2 in ascending order.\nAnswer: t, -5, -2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1715 is divided by 26?\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -45 - -54. Solve -k - 5 = 0, 4*p - d = -2*k + 3*k for p.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 36*j**2 + 3*j + 396*j**2 - 430*j**2 + j.\nAnswer: 2*j**2 + 4*j","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let m(f) = -f**3 - 10*f**2 + 25*f + 12. Let c be m(-12). Let b(h) = h**3 + h**2 - 10. What is b(c)?\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2556.\nAnswer: 2, 3, 71","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 1 + 109 = -10*t. Let u be -2 + (-1 - (2 + t) - 4). What is the highest common factor of 18 and u?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is -6d - 9d3?\nAnswer: -a62","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 p when two letters picked without replacement from {i: 3, p: 2}?\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 71 and 0.13?\nAnswer: 9.23","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Round 89.51 to the nearest 10.\nAnswer: 90","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let b(c) = -29*c**3 + 4*c**2 + 5*c + 2. Let d(w) = -29*w**3 + 3*w**2 + 3*w + 3. Calculate 2*b(u) - 3*d(u).\nAnswer: 29*u**3 - u**2 + u - 5","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*z - 4 = 5. Factor 2*k**z - k**3 - k**4 + k**4 - k**4 + 2*k**2.\nAnswer: -k**2*(k - 2)*(k + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(o) = -o**2 + o - 1. Let x be (-2)\/(-8) + 15\/(-12). Let z(a) = -a**3 - a**2 - a + 1. Let k = -24 - -25. Calculate k*b(n) + x*z(n).\nAnswer: n**3 + 2*n - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let g(a) = -a**3 + a**2 + a + 2. Let j(q) = -222*q**4 + q**3 + 26*q**2 - 15*q - 2. Let n(p) = g(p) + j(p). Find the third derivative of n(d) wrt d.\nAnswer: -5328*d","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 574 + 764 - 1916 - 13*m + 578.\nAnswer: -13*m","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is 6845307 a multiple of 11?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (475\/(-25))\/(-38)*34.\nAnswer: 17","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from zozznezzrzaeoooan. Give prob of sequence azz.\nAnswer: 1\/68","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -85*y - 4912*y - 7153*y + 337*y.\nAnswer: -11813*y","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Work out -7128 * -1.2.\nAnswer: 8553.6","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1043*n = -1008*n + 70 for n.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 j and 1 v when three letters picked without replacement from {j: 16, v: 4}?\nAnswer: 8\/19","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 21810 is divided by 44.\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the ninth root of 3059237 to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let q(p) = p**3 + 7*p**2 - 8*p + 2. Let o be q(-8). Let w(b) = -3*b**3 + 2*b**2 - b - 1 + 1 - 3*b**o. Let r be w(-2). Round r to the nearest ten.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: -0.3836+-0.756626\nAnswer: -1.140226","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is 21 + -10002021?\nAnswer: -10002000","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is -5.4 times 5?\nAnswer: -27","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) 0 (b) 4\/5 (c) 5 (d) 0.1 (e) -2\/25\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 11.3 + -11.26. Which is the third biggest value? (a) -0.5 (b) s (c) -2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -37*f**2 + 3*f**3 - 48*f**2 + 0*f**3 - 17*f**4 + 87*f**2 as o*f + a + d*f**3 + q*f**2 + h*f**4 and give d.\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from xkkxhkxxsaaakua. Give prob of sequence sk.\nAnswer: 2\/105","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 16*t = 26*t - 2350. Is t a multiple of 20?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(f) = -3. Let i(h) = -h + 1. What is -3*i(u) - s(u)?\nAnswer: 3*u","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: -65 + (113 - (75 + -56))\nAnswer: 29","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is -10000100000110101110 (base 2) in base 15?\nAnswer: -aa4d7","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 6\/9*122\/(-1098).\nAnswer: -2\/27","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -181\/2400 and 167\/60?\nAnswer: 2400","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let w(l) = 5*l + 13. Let s(n) = -n**3 - 4*n - 12. Calculate 5*s(f) + 4*w(f).\nAnswer: -5*f**3 - 8","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is 22100 - -12?\nAnswer: 22112","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Product of -0.1 and 0.045796294.\nAnswer: -0.0045796294","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let l(n) = -n**2 - 9*n - 8. Let x be l(-8). Let z = x + 2. What is the third smallest value in 4, z, -2?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from kjokccjjwjk. What is prob of sequence wc?\nAnswer: 1\/55","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 147771892.\nAnswer: 2, 19, 881, 2207","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is -540 minus -1.41587?\nAnswer: -538.58413","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 157 + 108. What is the second derivative of 264 + 41*m**5 + 43*m**5 + 53*m - k wrt m?\nAnswer: 1680*m**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -4*v + 139 - 139.\nAnswer: -4*v","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 88\/882825 and 74\/2295345.\nAnswer: 11476725","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*n + g - 34 + 12 = 0, 0 = -3*g - 9 for n.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 10 and 335.\nAnswer: 670","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -46 - 54 = -5*n. Suppose -2*v + 518 = 2*k, -4*k = k + n. Is v prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 3.297431355 to 3 dps.\nAnswer: 3.297","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2873514?\nAnswer: 2, 3, 7, 31, 2207","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-10 - 5 - 3 + 0 + 3 + 9 + (-2 + 1 + 2)*(0 + 5 - 3))*(0*p**2 - 2*p**2 + p**2).\nAnswer: 4*p**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let l(y) = 2*y. List the prime factors of l(6).\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(i) be the second derivative of -48*i + 0*i**2 + 1\/6*i**3 + 0. Let a(q) be the first derivative of 11*q**2 - 5. Calculate a(d(c)).\nAnswer: 22*c","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve -27383*i + 702 = -27422*i for i.\nAnswer: -18","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: 0.0228 * -0.5\nAnswer: -0.0114","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -5.475 + 0.475. Let f = 2 + -2. Which is the fourth biggest value? (a) f (b) 5 (c) w (d) -0.5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 1.534 + 15.466. Which is bigger: u or 1\/17?\nAnswer: u","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(h) = 4*h**2 + 7*h + 2. Let i(a) = -3*a**2 - 8*a - 3. Let r(o) = 6*i(o) + 7*j(o). Suppose 9 = 5*k - t - 8, 0 = -5*k - 5*t + 5. Is r(k) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(q) = -q**3 + 4*q**2 - 2*q + 3. Let n be a(3). Differentiate 9*y**3 + 19 + n*y**3 + 0*y**3 + 0 wrt y.\nAnswer: 45*y**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 2165363639 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let o(z) be the second derivative of -z**7\/14 - 2*z**6 - 207*z**5\/20 - 41*z**4\/2 - 16*z**3 - 36*z - 2. Solve o(a) = 0 for a.\nAnswer: -16, -2, -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 406 and 232.\nAnswer: 58","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -89.97 + 90. Sort u, -2\/5, 1\/4, 2\/13.\nAnswer: -2\/5, u, 2\/13, 1\/4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(z) = -2*z**3 - 4*z**2 - 4. Let r(i) = 29*i**2 + 33*i**2 - 8*i**3 - 17 - 79*i**2. Give 2*r(d) - 9*v(d).\nAnswer: 2*d**3 + 2*d**2 + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let p(i) be the second derivative of -i**5\/20 + i**4\/3 - i**3\/2 + 6*i. Factor p(c).\nAnswer: -c*(c - 3)*(c - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of -51, -134, -249, -396, -575, -786?\n\"Answer: -16*v**2 - 35*v","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(15)\/(sqrt(18)\/sqrt(6)*-5).\nAnswer: -sqrt(5)\/5","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 53*i - 43*i - 300. Suppose -5*u = -70 + i. Calculate the greatest common divisor of u and 184.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 378253 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is 1766081 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 88 minutes before 5:11 PM?\nAnswer: 3:43 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is (4 - -57) + (-677 + 672 - (-1 - 18 - -3))?\nAnswer: 72","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let h(l) be the second derivative of 25\/6*l**4 - 13*l + 0 - 27\/2*l**2 + 7\/3*l**3. Is h(7) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(18) - (sqrt(216)*1)\/sqrt(12))\/(sqrt(96)*-1).\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 16921308 is divided by 104?\nAnswer: 92","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Product of 4708084 and 0.1.\nAnswer: 470808.4","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 657 minutes after 2:13 AM?\nAnswer: 1:10 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -127*u - 16334 = -129*u + 4*y, y + 3 = 0. Is u a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 5 divided by 70?\nAnswer: 1\/14","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 38973 and 9.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is -7105 times 3?\nAnswer: -21315","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1732*x + 0 = 4 - 4 for x.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_test"},"subset":"dm_maths"} +{"text":"Question: Calculate 93\/(-217)*(-42)\/144*2.\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*g + 4*u - 4 = -g, 2*u = 2*g - 2. Find the common denominator of 87\/22 and 1\/g + (-745)\/(-100).\nAnswer: 110","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(x) be the third derivative of -54872\/45*x**3 + 5*x + 1\/900*x**6 + 0 - 19\/75*x**5 - x**2 + 361\/15*x**4. Let d(t) = 0. Calculate t.\nAnswer: 38","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(k) = 1048*k - 557*k - 56*k**2 - 491*k. Let u(j) = 25*j. What is c(u(y))?\nAnswer: -35000*y**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is 1e0 + -19?\nAnswer: 1c6","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -25 = 2*b + 3*b - 2*p, 0 = 4*b - 3*p + 20. Let s = b + 5. Suppose h - 30 = -s*h. Does 12 divide h?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -4? (a) -0.8 (b) -3 (c) -73.73\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Factor 3*l**4\/4 + 6*l**3 + 12*l**2.\nAnswer: 3*l**2*(l + 4)**2\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 4695 and 3898728?\nAnswer: 939","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let g(f) be the first derivative of f**2\/2 + f + 2. Differentiate g(c) with respect to c.\nAnswer: 1","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -111.0878 rounded to the nearest 10?\nAnswer: -110","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 64247, 128797, 193667, 258857, 324367?\nAnswer: 390197","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 27\/1823 - 236053\/1290684. Calculate the common denominator of 23\/52 and p.\nAnswer: 9204","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -38 = 2*v - 12. Let n be -3 - (v - (-1 + 1)). Calculate the highest common factor of 10 and n.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(x) = 2*x + 24*x + x - 6*x - 25*x + 0*x. Let z(q) be the third derivative of q**5\/30 + q**2. Calculate f(z(p)).\nAnswer: -8*p**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((3*((sqrt(119) - (sqrt(119)*-1 - sqrt(119)) - sqrt(119)) + sqrt(119) + sqrt(119) - sqrt(119)))\/(-3*sqrt(28)))**2.\nAnswer: 153\/4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-1 + (0 + sqrt(272))**2 - sqrt(272)*3*2) + -2 + -4.\nAnswer: -24*sqrt(17) + 265","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Does 11 divide 5681?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3 = -4*l - 15. Let v(k) = -2*k - 1. Let x be v(l). Suppose -d - 42 = -x*w, 0*w + 2*d = -2*w + 24. What is the remainder when 26 is divided by w?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -24*i + 151821 = 3*i. Is i composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(i) = 6*i**3 + 3*i. Let g be (-6)\/(-15) - (-76)\/10. Let m(o) = o - 7. Let p be m(g). Let u(y) = y**3 + y. What is p*h(n) - 3*u(n)?\nAnswer: 3*n**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-1)\/((-40)\/34) + (-9)\/12.\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: -13465 (base 9) to base 11\nAnswer: -6951","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 108 and 3.2?\nAnswer: 345.6","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Expand (s + 2 - 2 + (3*s - 4*s + 3*s)*(-2 - 6 + 6))*(-135 - 17 - 152).\nAnswer: 912*s","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in -0.3, 9\/5, -0.2, 0.4, -19, 12?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose r - 4*x - 338 = 0, -3*x + 488 = 5*r - 1271. Let g = 45 + r. Is g a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -49 - -58. Suppose -14*w - 182 = -238. Which is the closest to w? (a) q (b) 0.5 (c) -0.2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 530, 0.22, -0.31.\nAnswer: -0.31, 0.22, 530","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 671 - -769. List the prime factors of o.\nAnswer: 2, 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -85 + 142. Does 19 divide h?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -44647*q + 14885*q + 14877*q + 14880*q.\nAnswer: -5*q","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -34 + 14. Let p = f + 19. Which is the closest to -2\/3? (a) -2 (b) p (c) 0\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(l) = -l**3 + l**2 + 3. Let k be j(0). Differentiate 2 + 0 - k - 2*b**2 with respect to b.\nAnswer: -4*b","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(t) = -46*t - 16. Let g(z) = -9*z - 3. Let d = -15 + -1. Let n(k) = d*g(k) + 3*o(k). Give n(1).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(s) = s**3 + 4*s**2 - 4*s - 4. Let f be z(-4). Let h = 15 - f. Solve -3*l - h = -2*l for l.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Add together 125 and 2.4.\nAnswer: 127.4","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 3432468? (a) -1\/6 (b) -3 (c) -1\/3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 85920, 343724, 773390, 1374912, 2148284, 3093500, 4210554, 5499440?\nAnswer: 6960152","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let j(l) = 15*l - 11. Let u(i) = 8*i - 6. Let n(z) = -2*z**3 - 27*z**2 - 16*z - 32. Let y be n(-13). Suppose 136 = 13*g - y. Determine g*u(q) - 6*j(q).\nAnswer: -2*q","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in 4, -24282, 1, -19\/4, 2\/9, 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: 20 + (-31 - (67 - 57))\nAnswer: -21","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -5 + 1*6*(2*(sqrt(99) + -1))**2.\nAnswer: -144*sqrt(11) + 2395","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*q + 4*q = 7. Find the second derivative of q*j + 4482*j**4 + 18*j**5 - 4482*j**4 wrt j.\nAnswer: 360*j**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: 323.479871393 - 2.6\nAnswer: 320.879871393","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {q: 2, r: 16}. Give prob of picking 1 r and 2 q.\nAnswer: 1\/51","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 1\/18 of a hour in seconds?\nAnswer: 200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -14511895*z**3 - 325176*z**2 - 16 wrt z.\nAnswer: -87071370","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -12645 + 25396 - 2*l**2 - 12751.\nAnswer: -2*l**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -652 + 456. Let g be 54\/(-1*2\/21). Let i = m - g. Is i composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -87\/2 and -23\/5680.\nAnswer: 5680","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -41 - 39 = -4*t. Calculate the smallest common multiple of (80\/(-14))\/((-24)\/84) and t.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (j - 3*j + 4*j)*(-6*j**2 + 4*j**2 + 0*j**2) + (2*j - 2*j + j)*(27*j - 27*j + 7*j**2).\nAnswer: 3*j**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of 11701, 11732, 11769, 11812?\n\"Answer: 3*f**2 + 22*f + 11676","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ixxi when four letters picked without replacement from iiixx?\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve 23*m = -3*x - 483, 5*x + 0*x = 12*m + 10*x + 252 for m.\nAnswer: -21","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -11539 - -19914. Let y be i\/(2\/80*6\/(-480)). What is y rounded to the nearest 1000000?\nAnswer: -27000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-6*2*sqrt(100) + sqrt(100) + (sqrt(100)*1 + sqrt(100))*6)\/((4*sqrt(10) + sqrt(10))\/sqrt(5) + 4*(sqrt(2) + -4*sqrt(2))).\nAnswer: -5*sqrt(2)\/7","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 1920*t**2 - 8373*t**5 - 11878757*t**4 + 4477*t**2 + 11878757*t**4 wrt t.\nAnswer: -502380*t**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -3*d**3*n**3 - 73052*d**3*n**2 + 8060*d**2*n + 8*d*n**3 wrt d.\nAnswer: -18*n**3 - 438312*n**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 2824 and 35925163?\nAnswer: 353","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let b(l) be the second derivative of l**6\/75 - l**5\/25 + 2*l**3\/15 - l**2\/5 + 17*l. Factor b(y).\nAnswer: 2*(y - 1)**3*(y + 1)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 109*z + 9*z = -138*z - 3328 for z.\nAnswer: -13","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 59*a**3*d**4 - 1113*a**3*d**3 + 702049*a**3 with respect to d.\nAnswer: 236*a**3*d**3 - 3339*a**3*d**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 775 and 310?\nAnswer: 155","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let x(l) = 2*l + 16. Let v be x(-6). Suppose -4*a = 5*h - 6, 4*h = -2*a + v*a - 16. Sort h, 0, -1 in descending order.\nAnswer: 0, -1, h","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (1113\/105 + -10)\/((-6)\/(-8))?\nAnswer: 4\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 777773117 to the nearest integer?\nAnswer: 27889","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*x = -4*x + 372. Suppose 0 = 3*v + u - 37, u + u = -5*v + x. What is the least common multiple of v and 30?\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -43 + 46. Let r(t) = f*t + 2*t - 5*t - t + 3. What is r(-7)?\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in 3, 2.8962668, 0.2, -1?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -1*(0 + sqrt(612))**2 + 1*(sqrt(612) + sqrt(612) + 2) + sqrt(612).\nAnswer: -610 + 18*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: How many months are there in 4436.5 millennia?\nAnswer: 53238000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 119 = 622*i - 639*i for i.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -75\/4*d**2 - 81 + 99*d + 3\/4*d**3 = 0. Calculate d.\nAnswer: 1, 6, 18","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(u) = 15*u**3 - 13*u**2 + 13*u. Let f(c) = -10*c**3 + 9*c**2 - 9*c. What is -7*f(z) - 5*s(z)?\nAnswer: -5*z**3 + 2*z**2 - 2*z","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is 1 != 2\/1921?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 101149 is divided by 403?\nAnswer: 399","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5 = 4*d - 21 for d.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is (-1)\/((-1)\/(-40))*((-6480)\/(-225))\/(-16)?\nAnswer: 72","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 49*s - 16*s + 103*s.\nAnswer: 136*s","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 0 and 14058?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let s(l) = -3*l**2. Let k(x) = -8*x - 11*x + x. What is s(k(f))?\nAnswer: -972*f**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*n - 16 = -4*q, 3*n = -2*q - 2*n + 22 for q.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ti when two letters picked without replacement from {i: 4, j: 4, q: 7, t: 3}.\nAnswer: 2\/51","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (x**(-4)\/x*x*x**(-30))**50 assuming x is positive.\nAnswer: x**(-1700)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -852 or -851?\nAnswer: -852","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 72*y - 67*y - 3*p = -4469082, -1787646 = 2*y + p. Round y to the nearest 100000.\nAnswer: -900000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 1179 or 1306?\nAnswer: 1179","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 323048 to the nearest integer?\nAnswer: 568","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Sort 214.8, 0.7, 0.68 in descending order.\nAnswer: 214.8, 0.7, 0.68","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let r(n) = -n**3 + 14*n**2 - 12*n - 11. Let f be r(13). Suppose 0 = -2*d - f*d + 4. Let p = -139\/988 + -1\/76. Which is greater: d or p?\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(d) = d**3 - 8*d**2 - 9*d - 5. Give y(9).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -42*f**4 + 622161*f**5 - 58 - 380*f**2 - 32 - 622159*f**5 + 306*f + 204*f**3 = 0. What is f?\nAnswer: 1, 3, 15","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -r + 2*i = -7, 3*r + 19 = 2072952*i - 2072956*i for r.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 513 - 29 = 44288*n - 44277*n for n.\nAnswer: 44","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -121\/1510362 and -103\/54.\nAnswer: 4531086","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 953 and 1.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Express 68*x**2 - 149*x**2 + 623 + 2*x**3 + 81*x**2 + 0*x**3 as b*x**2 + a*x**3 + g + w*x and give a.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 g and 1 w when two letters picked without replacement from gwgigipiii.\nAnswer: 1\/15","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 1557116344?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 8785 and 1295.\nAnswer: 35","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Determine a, given that a**4 + 40774*a**3 + 554431020*a**2 + 2517661453450*a + 47635697555875 = 0.\nAnswer: -13585, -19","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -132 - 33 = -33*m. Suppose 7\/3*b**3 + 1\/3*b**m - b**2 - 5\/3*b**4 + 0*b + 0 = 0. Calculate b.\nAnswer: 0, 1, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(c) = 78*c + 4. Calculate i(-2).\nAnswer: -152","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is (-59)\/105 + 24\/56?\nAnswer: -2\/15","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 90 and 1990?\nAnswer: 17910","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let a(j) = 7*j**2 + j - 29. Let z be a(-9). Suppose 806 = -2*u - 5*o, -z = u + 3*o - 127. Let r = -184 - u. What is the hundreds digit of r?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.160272188 rounded to four decimal places?\nAnswer: -0.1603","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -4*o**3*p**5 + 456*o**3*p**2 - 4*o**3*p + 15811*o*p**5 + 2*o*p - 2*o wrt p.\nAnswer: -240*o**3*p**2 + 948660*o*p**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: 1111212001 (base 3) to base 14\nAnswer: abd4","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -172*g = -170*g + 6. Let k = -65 + 60. Which is the nearest to 1? (a) 3\/2 (b) k (c) g\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(a) = 19*a + 92. Let o be m(24). What is the remainder when o*(-1 - (-10)\/8) is divided by 48?\nAnswer: 41","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-6)\/9)\/((5 - 7) + 3)?\nAnswer: -2\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(d) = -d. Let q(l) = -258*l. Calculate y(q(s)).\nAnswer: 258*s","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve 34*b**2\/11 + 2798*b\/11 + 18600\/11 = 0.\nAnswer: -75, -124\/17","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 9 + -7. Let j = d - 5. What is the nearest to j in 0, 0.5, 0.3?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (2\/4)\/(3204\/(-712)*(-2)\/774)?\nAnswer: 43","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 1\/4 in -4.1, 2\/9, -14, 5?\nAnswer: 2\/9","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (u\/u**(1\/13))**(-3\/8)\/(u**(-2\/11))**19 assuming u is positive.\nAnswer: u**(889\/286)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (j**(-2\/15)\/j**(-1\/4))**(4\/9)*j**(-5)\/(j**(-1\/7)\/j)*(j\/j**3)\/((j\/(j*j*j**(1\/3)\/j*j))\/j) assuming j is positive.\nAnswer: j**(-3281\/945)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 12.6622 plus 0?\nAnswer: 12.6622","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let g(h) be the first derivative of 1259*h**5\/5 + 2*h**3\/3 + 372*h**2 - 7*h - 11175. Find the second derivative of g(x) wrt x.\nAnswer: 15108*x**2 + 4","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -35 + 21. Let t be 4\/j - 27\/(-21). Let w = 2 - t. Which is bigger: w or 2?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -15048 - 4*z + 30111 - 3*z + 10*z**3 - 15063.\nAnswer: 10*z**3 - 7*z","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: (-19 + (-71)\/((-852)\/(-10272)))*(-3)\/21\nAnswer: 125","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -332 - 2*o - 2*o + 333 - 2*o to the form h*o + x and give x.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 5759 or 5760?\nAnswer: 5759","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(352)\/sqrt(200) - (sqrt(528)\/(sqrt(12) - sqrt(768)) + sqrt(44) - sqrt(44)))\/((1*sqrt(2352) + sqrt(2352))\/(sqrt(36)\/(-2*sqrt(3)))))**2.\nAnswer: 99\/60025","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: -6*(-2030)\/203*6\/(-9)\nAnswer: -40","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -3*(2 + (0 + sqrt(175))**2 + sqrt(175)) - (sqrt(21)\/(-2*sqrt(3)) - (sqrt(63)*-1 + sqrt(63))\/sqrt(9))**2.\nAnswer: -2131\/4 - 15*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of -9704, -77708, -262296, -621758, -1214384, -2098464, -3332288?\n\"Answer: -9715*m**3 - 2*m**2 + 7*m + 6","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let k(w) = -9*w. Let d(z) = 10*z. Let c(b) = -4*d(b) - 5*k(b). Let y(g) = 6*g**2. Give y(c(a)).\nAnswer: 150*a**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 87278842?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 28.98 + -29. What is the closest to y in -0.3, 0.3, -5?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*w + 2 = 0, -22442*w = -5*c - 22438*w - 1 for c.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 3807\/9*32*(-37)\/(-10656).\nAnswer: 47","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*j - 5260 = -4*j. Suppose -2*o = 3*o - j. Is o a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 32 = -8*l - 8*l. Is -2 + 2 - (l + -3845) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(d) = 950*d. Let x(y) be the third derivative of -y**4\/12 + 1137*y**2. Give c(x(g)).\nAnswer: -1900*g","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: 625\/(-125) + 4 + 6\/(-3)\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 7*u - 5*u = -21*u for u.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let u be ((-18)\/15)\/(3\/(-10)). Suppose u*x = 10*x - 96. Calculate the remainder when 46 is divided by x.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(q) = q**3 + 7*q**2 - 79*q + 10. Calculate n(6).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Does 18 divide 3095442?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is 3883\/105 bigger than 36?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 113\/3500 and -111\/4000.\nAnswer: 28000","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.075632 rounded to four dps?\nAnswer: 0.0756","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 440 and 80.\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Sum 1960 and -1.\nAnswer: 1959","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: -6 - (-19 - (-15 - -7))\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in 0.2825, -2, 0.02, -0.1, 0.2, -6, 2.7?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -27 divided by -374.\nAnswer: 27\/374","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 15238026?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*s = s - 36. What is the units digit of s?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence dd when two letters picked without replacement from {p: 2, s: 1, i: 1, d: 13}?\nAnswer: 39\/68","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Does 2141 divide 10983330?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.005033 rounded to four dps?\nAnswer: 0.005","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 4 + 11 - 38 - -35.\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 583569971 to the nearest integer?\nAnswer: 24157","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let s(i) = 79*i**3 - i**2 - i. Is s(1) a multiple of 29?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Add together 1.802934 and -17.\nAnswer: -15.197066","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 3499?\nAnswer: 3499","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is 14 a factor of 138259?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Sort 4, -10, -5, 17 in decreasing order.\nAnswer: 17, 4, -5, -10","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let v be 0 - -2 - (-4)\/4. Solve 2*x = -v*q + 7, q + 20 = 6*q - 5*x for q.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*q + 4*g + 174452, 4*q + g - 232584 = -3*g. Let p = q + -3372479\/58. Calculate the common denominator of p and -43\/20.\nAnswer: 580","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: -0.043 * -0.3\nAnswer: 0.0129","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let k be 1\/(-2) - (-74)\/4. Solve 5*t - 3*h = 10 + k, -4*t + 17 = 3*h for t.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 5023 - 3531. Let t = 2261 - k. Is t composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-v - 3*v + 2*v)*(-v + 4*v - v)*(-13 - 9 + 9)*(-v - v + 0*v) to the form w + l*v + c*v**3 + y*v**2 and give c.\nAnswer: -104","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 10 - 7. Suppose 4*t + 5*i - 14 = 0, -4*i - 21 = -m*t + 5. Suppose -3*d = s - 17, -d - 2*s = 3*d - 24. Solve d + t = 2*q + w, -4*w = q - 16 for q.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 30 + -22. Suppose 3*u = -n - 1, 4*j - u - 195 = 0. List the prime factors of j.\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (-2 - -3)\/(2\/8). Suppose -3*x + 60 = 4*a, -p*x - 4*a - 31 = -107. Suppose -19 = -5*u + x. What are the prime factors of u?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 6*sqrt(32) + sqrt(2) + (5 + 2*sqrt(2) + sqrt(2))**2.\nAnswer: 43 + 55*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-3*(sqrt(136)*-1*3 + sqrt(136)))\/(-5*(sqrt(968) + -3*sqrt(968)))*2.\nAnswer: 6*sqrt(17)\/55","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -0.4 + 0. Let s = -2 - 0. What is the second biggest value in 2\/3, s, x?\nAnswer: x","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -3 - -5. Suppose 7 = -g*c - 1. Let w(n) = 4*n + 1. Calculate w(c).\nAnswer: -15","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 4029 and 357.\nAnswer: 51","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -k - 5*z + 2, z - 50 = -4*k + 2*z. Let r be -1 - 1 - k\/(-5). Which is smaller: 0 or r?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 167.9 + -168. What is the closest to -1\/5 in -0.4, 0.3, f?\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is 1322 + 0?\nAnswer: 1322","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is 23534 + 114?\nAnswer: 24052","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve -22*y - 25*y + 1534 - 29 = -4*y for y.\nAnswer: 35","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve -k + 25 = 4*p, 2183*p - 64 = 2179*p - 4*k for p.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 91\/198 and -61\/396?\nAnswer: 396","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 5 + -4. Let g be (2 - 12)\/((-2)\/a). Suppose g*q + 2*f - 300 = 0, 2*q - 5*f = -3*q + 335. Is q a multiple of 16?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (2\/2)\/((-3)\/(-9)). Suppose -2*p - c = -p, -5*w - 5 = 5*p. Let h be (3\/w)\/((-2)\/4). Is -4 >= h?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 7*u + 3611 = 3506 for u.\nAnswer: -15","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Sort -3, -6\/11, -4, 0.004, -73 in increasing order.\nAnswer: -73, -4, -3, -6\/11, 0.004","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Sort -4, -15, -23\/2, -5, 93 in decreasing order.\nAnswer: 93, -4, -5, -23\/2, -15","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 43140.\nAnswer: 2, 3, 5, 719","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 43497?\nAnswer: 3, 179","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 462, 987, 1526, 2085, 2670, 3287, 3942?\nAnswer: 4641","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is -31900 divided by 44?\nAnswer: -725","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -7 + 7 + 1 - (3 + -10).\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 83, 152, 221, 290, 359, 428?\nAnswer: 497","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -44 + 68. Suppose -5*s = x - 0*x + 18, 4*s = 4*x - i. Let h be 8\/(-1)*s\/16. Which is the smallest value? (a) 2\/11 (b) h (c) -1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*j**3\/3 + 5600*j**2\/3 + 258916*j\/3 + 1710880\/3 = 0.\nAnswer: -37, -8, 1445","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -8 + (3 + 19 - 10).\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -19*v - 4302 = -30460 - 879. Is 7 a factor of v?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 1324\/18591 or 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 250324945 to the nearest integer?\nAnswer: 630","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let p(j) = -5*j**2 - 4*j + 7. Let n(l) = 4*l**2 + 4*l - 7. Let o = -6 - -9. Let z(a) = o*p(a) + 4*n(a). Let v be z(-6). Put 3, v, 8, 0 in decreasing order.\nAnswer: 8, v, 3, 0","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence evv when three letters picked without replacement from nvbveles?\nAnswer: 1\/84","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 39 - 30. Does 9 divide x?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: -2 - (9 - -1) - (-12 - (17 + -18 + 66))\nAnswer: 65","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let w(y) = y. Let g be w(6). Solve 2*o = g*o - 12 for o.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 6 a factor of 12310?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 367 minutes after 2:01 AM?\nAnswer: 8:08 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Put -2, 53, 56, -2.4 in descending order.\nAnswer: 56, 53, -2, -2.4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -5526 + 10578. What is the hundreds digit of k?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 2.8 + 0.2. Let f = o + -3. Let w be ((-1)\/5)\/(15\/25). Which is the nearest to f? (a) 1 (b) w (c) -2\/3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -720 by -20.\nAnswer: 36","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is 2301361 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let j(u) = -u + 1. Let p(h) = -2*h - 5. Calculate 3*j(i) + p(i).\nAnswer: -5*i - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*g + 2*g + 2*g)*(-1 + 0 + 3)*(-3 + 0 + 6 + (-1 + 5 - 3)*(0 + 0 + 1)).\nAnswer: 48*g","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 4 a factor of 849395?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*k + 6 - 4 = 2*n, -k - 1 = n. Let c(s) be the second derivative of 0 + 1\/48*s**k + 1\/8*s**2 + 1\/12*s**3 + 2*s. Solve c(l) = 0 for l.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 145618420 is divided by 1247.\nAnswer: 1242","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 16102 to the power of 1\/5, to the nearest integer?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 7208.946 hours in microseconds?\nAnswer: 25952205600000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) -36 (b) 1 (c) -0.0047 (d) -3\/8\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Convert 2010100301 (base 4) to base 7.\nAnswer: 4414301","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 25*h - 2*h - 69. Solve 32 = h*d - 4*q, 4*q + 14 = 2*d - 14 for d.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -2985.6095 - -2985. What is a rounded to 1 dp?\nAnswer: -0.6","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is -21603 + 136?\nAnswer: -21445","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -3 divided by -104.\nAnswer: 3\/104","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 2\/9 in 1\/3, -0.2, -0.4, 5?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let m(f) be the second derivative of -f**6\/15 + 2287*f**3\/6 - 603*f**2\/2 + 2712*f. Differentiate m(b) wrt b.\nAnswer: -8*b**3 + 2287","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 39897116?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let k(o) = -4 - 3 + o**2 + 5*o**2 + 4. Let q(t) = -11*t**2 + 5. Determine -5*k(l) - 3*q(l).\nAnswer: 3*l**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is 127 a factor of 9071737?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -0.06 - 0.44. Let y = -0.2 - 0.8. Let j = -0.1 - 0.3. What is the nearest to 1 in y, j, w?\nAnswer: j","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(j) = j**2 - 6*j + 3. Let n(k) = k**3 + 11*k**2 + 9*k - 6. Let d be n(-10). Suppose 5*w = d*w + 5. Let s be q(w). Put s, 0, -1 in ascending order.\nAnswer: s, -1, 0","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -59\/560 and 81\/44.\nAnswer: 6160","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6 + 2 = 2*h. Suppose 2 = -4*r + i + 17, 0 = -h*r - 3*i + 35. Suppose -r*d = y - 746, 2*y + 63 = 2*d - 233. Is d composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(y) = -61*y + 479. Determine q(1).\nAnswer: 418","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (20*369\/2460)\/(((-2)\/452)\/(2\/12)).\nAnswer: -113","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let t(l) = 7*l**2 - 296*l - 213. Let k be t(43). Solve k*a - 49 = -39 for a.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(k) = -38*k**2. Let o(v) = v**2 + 5*v + 6. Let r be o(-4). Let j(p) = 11*p - 6*p - 4*p - r*p. Give s(j(d)).\nAnswer: -38*d**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 1097375 and 400?\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (w**2)**(3\/7)*w**(4\/5)*w**(1\/11) assuming w is positive.\nAnswer: w**(673\/385)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 3297643602\/205 - 16086110. Let j = t - -218\/5. Let n = j - 60\/451. Which is smaller: n or -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -3 - -7 - (5 + -1)?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let u(g) = 48*g - 59. Is u(6) a multiple of 10?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of 64, 72, 80?\n\"Answer: 8*z + 56","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*f - 12 = 0, 2*f - 43 = -a - 7. Calculate the remainder when 444 is divided by a.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -17 + 19 + 202*r + 3*r**4 - 212*r to the form i + o*r + b*r**2 + y*r**4 + p*r**3 and give y.\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-1 + 3 + 0)*(-37*r - r + 12*r).\nAnswer: -52*r","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Divide 75887 by -10841.\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Do 0 and -1076\/3698283 have different values?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Divide -3115 by -42.\nAnswer: 445\/6","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 904813 and 63485240?\nAnswer: 14833","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 114 and 1786.\nAnswer: 38","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.000645798027 to 4 dps.\nAnswer: 0.0006","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence pu when two letters picked without replacement from pwpuuuuuuuwuuwuupp.\nAnswer: 22\/153","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -3*l*o**5 + 37*l*o**4 - 2*l*o**2 - 3*o**4 + 2*o**2 - 10*o wrt o.\nAnswer: -180*l*o**2 + 888*l*o - 72*o","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let c(r) be the second derivative of -r**6\/45 - 2*r**5\/5 - 23*r**4\/9 - 20*r**3\/3 - 25*r**2\/3 - 6*r. Suppose c(p) = 0. What is p?\nAnswer: -5, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -2121 - -10454. List the prime factors of i.\nAnswer: 13, 641","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 2596 is divided by 232 + (3\/4)\/((-123)\/(-656)).\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -653608, -653607, -653606, -653605, -653604, -653603?\nAnswer: -653602","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -29.48 - -29.4801383. Round p to 5 dps.\nAnswer: 0.00014","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 103\/3280 and 55\/672.\nAnswer: 137760","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from tzzztzwtzwwwwwt. Give prob of sequence wzz.\nAnswer: 4\/91","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -72331363398 - -72331363696.00000127. Let g = 298 - i. Round g to 7 decimal places.\nAnswer: -0.0000013","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is n in n**3 - 192*n**2 - 6979*n + 14718 = 0?\nAnswer: -33, 2, 223","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let m(h) = 7*h + 97. Let r be m(-13). Let s(t) be the second derivative of 0 + 1\/12*t**4 + 1\/2*t**2 - 1\/20*t**5 - 4*t - 1\/45*t**r + 7\/18*t**3. Solve s(a) = 0.\nAnswer: -1, 3\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 29*r + 4348 - 11975 = 0. Is r a multiple of 12?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -555353 or -553997?\nAnswer: -553997","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (a\/(a\/a**(-3))*a*a\/(a*a**(2\/15)*a)*(a**0)**(-12\/13))\/((a**1)**22)**(-15) assuming a is positive.\nAnswer: a**(4903\/15)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Expand 2*b**2 - 2*b**2 + b**2 - 2*b**3 + (-b + 0 + 0)*(-9*b**2 - b + b).\nAnswer: 7*b**3 + b**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((u\/((u*u**(-2\/5))\/u)*u*u)\/((u*u\/(u\/(u*u**(-7\/2))))\/u))\/(u**0\/u)**37 assuming u is positive.\nAnswer: u**(429\/10)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 27\/2 of a litre in millilitres?\nAnswer: 13500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*v - 20 = 0, 3*i - 5*v = -45 - 10. Calculate the common denominator of 17\/18 and (-5135)\/(-4029)*2\/i.\nAnswer: 306","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence nn when two letters picked without replacement from nnnnnnnhnhnnn?\nAnswer: 55\/78","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is 298625189 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -49*z**3 - 217*z**2 + 231*z**2 + 12*z**3 wrt z.\nAnswer: -222","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 6341899 a multiple of 21?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is 21165733 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*d = -97 + 59. Let q = d - -129. Is 7 a factor of q?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 5*a + 1895*a**2 - 1194*a**2 - 3*a + 1409 with respect to a.\nAnswer: 1402*a + 2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_test"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(99) + 0 + -2)**2 - ((sqrt(242)*1)\/sqrt(11))\/sqrt(2).\nAnswer: -13*sqrt(11) + 103","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let a(v) = 36*v**3 - v**2 - v + 2. Suppose 10*z + 1 = 11. Let h be a(z). What is the greatest common factor of 9 and h?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2 = 4*g + 6. Let u(l) = 14 - 3*l**2 - 3*l - 13 + 10*l**3 + 8*l**2. Let c(h) = -9*h**3 - 6*h**2 + 4*h - 1. Let o(k) = -4*c(k) - 5*u(k). Calculate o(g).\nAnswer: 13","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find a such that a**4 + 11*a**3 + 9*a**2 - 11*a - 10 = 0.\nAnswer: -10, -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 91*y - 91*y - y**3 - 2*y**3.\nAnswer: -3*y**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 5457?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from czznzcznczzcgnzncz. What is prob of picking 2 z and 1 n?\nAnswer: 7\/51","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: 18\/110*(-4810)\/1443\nAnswer: -6\/11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-1)\/(2\/10))\/(3\/3).\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 137*t - 18 = 131*t. List the prime factors of ((-1155)\/(-22))\/(t\/10).\nAnswer: 5, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -5322 + 5838. Calculate the remainder when x is divided by 111.\nAnswer: 72","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -1464 and -170?\nAnswer: 248880","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 6876041329.\nAnswer: 61, 112721989","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 35 + -7. Let q be 15*(1 + 9\/(-15)). Suppose 35 = q*a - a. What is the greatest common factor of p and a?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 5636176 and 364?\nAnswer: 364","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Sort -194, -3, 5, 45 in ascending order.\nAnswer: -194, -3, 5, 45","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (414\/(-12) - -3)\/((-2)\/1008). Let w be c\/(-16) + (-6)\/8. Is w\/((45\/25)\/(-3)) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(o) = 86*o**2 + 820*o + 164. Calculate g(-9).\nAnswer: -250","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Divide 12852 by -918.\nAnswer: -14","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*v + 9 = l, -4*l = -v - 15 - 4. Suppose -66*k + 2*r - 18 = -69*k, -2*k = l*r - 23. Solve -k*y + y = 9 for y.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -43*n + 67 = -1006 + 213 for n.\nAnswer: 20","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: 98 - 10\/((-16080)\/(-157517))\nAnswer: 1\/24","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {m: 4, a: 1, g: 7, l: 1, v: 4, p: 3}. What is prob of picking 3 v?\nAnswer: 1\/285","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let v(i) = i**2 - 4*i - 3. Let u be v(5). What is the first derivative of 248*g**2 - 248*g**u + 2 + 3*g**3 wrt g?\nAnswer: 9*g**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(h) = -2*h + 2. Suppose 0*f - 10 = -5*f. Let d(k) = -f + 6 - 5 + k. What is 14*d(r) + 6*z(r)?\nAnswer: 2*r - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth smallest value? (a) -3\/2 (b) 0.1 (c) 0.07 (d) -1\/2 (e) 1\/7\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -13 - (-386535)\/(-1314)*4\/(-90).\nAnswer: 2\/27","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is 20672052 + -3?\nAnswer: 20672048","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 1\/898267 or -1?\nAnswer: 1\/898267","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*u + 2*o = -99, 5*u - 169 = -0*o + 2*o. Let l = u - -94. Suppose -34 = 5*m - l. Calculate the remainder when m is divided by 10.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 8536 + -8534. Sort -5\/3, u, 144, -4, 4 in descending order.\nAnswer: 144, 4, u, -5\/3, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is -644d + 13?\nAnswer: -643a","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -1.02 and -2.\nAnswer: 2.04","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {v: 3, w: 6, l: 1, n: 1, a: 2}. What is prob of picking 1 v and 1 n?\nAnswer: 1\/26","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 3 or 54?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is -5a + 3d7?\nAnswer: 37b","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of (-82)\/20 + (-5)\/((-15)\/(-12)) and 49\/30?\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 2414 divide 139126062?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -3? (a) 0 (b) 7\/5 (c) -3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let z(d) = -6*d. Let l = -377 - -379. Let m(q) = 144*q**2 - 87*q**2 - 75*q**l. What is m(z(x))?\nAnswer: -648*x**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 y and 1 x when two letters picked without replacement from {x: 1, l: 2, o: 4, y: 4}?\nAnswer: 4\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:34 AM and 9:36 AM?\nAnswer: 482","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*w - 2 = 4. Suppose w = u - 3. Suppose u*z = -1361 + 6276. Is z prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 2 in -3, 3\/2, -0.18, -0.0694?\nAnswer: 3\/2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 4366?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is 86311739 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in -1, -5, -39\/253?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((a*a**(2\/7))\/(a\/(a**(-1\/3)*a)*a)*(a**(2\/5))**(-1\/72))\/((a**1\/a)**12)**(-31) assuming a is positive.\nAnswer: a**(-67\/1260)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let n(c) be the second derivative of 9*c**5\/10 - 31*c**2\/2 + 24*c. Find the first derivative of n(y) wrt y.\nAnswer: 54*y**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 66.49752 litres in millilitres?\nAnswer: 66497.52","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 0.026 < 0.2?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is -479.7 minus -5.4?\nAnswer: -474.3","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from cqaqcu. What is prob of picking 1 q and 3 c?\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((((o**(2\/7)*o)\/o*o*o*o)\/((o*o**(-2\/7)\/o)\/o*o))\/(o*o\/(o**(-40)\/o)*o*o*o**(-2\/119)))**(-2\/19) assuming o is positive.\nAnswer: o**(1408\/323)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is -417350 (base 9) in base 2?\nAnswer: -111100100101010100","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Convert 204 (base 13) to base 10.\nAnswer: 342","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (5 + -1*sqrt(245) - ((sqrt(125) - (-2 + 1 + sqrt(125) - sqrt(125))) + sqrt(125)))**2.\nAnswer: -136*sqrt(5) + 1461","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 2292817 and 158.\nAnswer: 79","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 448*p - 431*p + 68, -4*o + p = 4*p for o.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-6*(sqrt(175) + sqrt(175)*3) - -2*(sqrt(175) + 0)) + ((sqrt(175) + -1)*5 + 0 + sqrt(175) + sqrt(175) + 1 + sqrt(175) + sqrt(175) + sqrt(175))*-6)**2.\nAnswer: -19680*sqrt(7) + 1177276","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let z be ((-7)\/(-14))\/(2\/(-60)). Let r be (2\/(-6))\/(-1)*z. Let x be 4*(18\/20)\/3. Which is the second smallest value? (a) r (b) 1\/6 (c) x\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*l + 44 = -24. Suppose 2*c - 2*v = 12, 4*v - 8*v = -2*c + 14. What is the smallest common multiple of c and l?\nAnswer: 85","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((sqrt(432) + -2 - sqrt(432)) + -1)*3)**2.\nAnswer: 81","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*s - 5*d = s - 35, -s = -2*d + 1. Let u(a) = a + 0*a + 4 - s*a + 2*a. Let n(y) = -y**2 + 5*y. Let b be n(4). Give u(b).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((9\/3)\/9)\/((-122)\/((-65880)\/(-7110))).\nAnswer: -2\/79","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let l(w) = 27*w**3 + 2*w + 1. Let y be l(-1). Let k(f) = f**3 - f**2 - 14*f + 18. Let v be k(4). What are the prime factors of y*6\/(-15)*v?\nAnswer: 2, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: 204343 (base 8) to base 16\nAnswer: 108e3","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 679 minutes after 5:42 AM?\nAnswer: 5:01 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is -104312002324 + -3?\nAnswer: -104312002332","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*j = 3*o + j - 7002, 5*o - 4*j - 11661 = 0. Is o a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {j: 9, t: 9}. Give prob of sequence tjt.\nAnswer: 9\/68","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let y(w) = -w**3 + 6*w**2 + 10*w + 11. What is y(-4)?\nAnswer: 131","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -4 + 1. Let q be (42 - 21)*(-12)\/(-28). Which is bigger: k or q?\nAnswer: q","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 902*t = 890*t - 168 for t.\nAnswer: -14","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is 1761 + -3?\nAnswer: 175b","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (c**5*c**(-7)*c**(-5\/2)\/c**5)\/(c**(-1\/2)\/(c*c*c**(-2\/9))*(c\/c**1)**38) assuming c is positive.\nAnswer: c**(-65\/9)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*c + 4*x + 32 = 0, 2*c = -x - 1 - 10 for c.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 128131.\nAnswer: 37, 3463","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let g be 2 - ((-245)\/(-15))\/7. Let q = 2334 + -2333.7. Let o = 0 - -0.5. Which is the nearest to g? (a) 0.2 (b) o (c) q\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 11 minutes before 12:35 AM?\nAnswer: 12:24 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 1679811 plus 1.126624?\nAnswer: 1679812.126624","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 9*l**3*x**3*y - l**3*x**3 + 2396*l**3*x*y + l**2*x**3 + 93*l**2*x**2 + 251*l*x**2*y wrt l.\nAnswer: 54*x**3*y - 6*x**3 + 14376*x*y","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is 23937493 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 235871 is divided by 728.\nAnswer: 727","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is -1121 + -11200?\nAnswer: -20021","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Does 55 divide 63635?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 2*r - 3*r + 0*r to the form l*r + m and give l.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let p(l) = l**3 - 7*l**2 + 8*l - 9. Suppose 0 = -5*y + 4*y - 3*m + 7, 4*m = 0. Suppose -y*z + 24 = -3*z. Give p(z).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -3*(5*(sqrt(78)*-1 + sqrt(78)) - -5*(sqrt(78) - sqrt(78)*1))\/((sqrt(48) - sqrt(432))\/sqrt(8) + sqrt(6) + 3*sqrt(216)).\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 7200 and 63.\nAnswer: 50400","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -3 + 4 + -2 - (-33 + (97 - 29)).\nAnswer: -36","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 14934311.66 rounded to the nearest 1000?\nAnswer: 14934000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let b(c) = 2*c - 1. Let y be b(2). Let f(i) = y + 0 - 5*i**2 + 12*i**2 + i**3. Does 13 divide f(-6)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(m) = -m**3 + 5*m**2 - 2*m - 5. Determine y(5).\nAnswer: -15","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 144 and 378.\nAnswer: 3024","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let i(b) = b**3 + 18*b**2 + 11*b + 2. Let a be i(-6). Calculate the highest common divisor of 48 and a.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 2\/3? (a) -0.3 (b) -237 (c) -5 (d) 0 (e) -1\/2\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 3509162, 14036576, 31582262, 56146220, 87728450, 126328952, 171947726?\nAnswer: 224584772","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 301 and 9877?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*j = 7*j - 85. Let y = -17 + j. Suppose 5*r - 9*r = y. Solve r = 5*s + 2*d, -s - 3*d + 18 = d for s.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 690 minutes before 3:02 PM?\nAnswer: 3:32 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Does 70\/219 = 0?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let j be ((-7608)\/(-2880))\/(-9*4\/30). Which is smaller: -2 or j?\nAnswer: j","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*s + 6 = 2. Let u(n) be the first derivative of 1\/3*n**6 - 1\/2*n**4 - 2\/5*n**5 + 0*n + 2 + 2\/3*n**3 + 0*n**s. Find c such that u(c) = 0.\nAnswer: -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*r + 6 + 3. Suppose -3*q + 4 = -r*k + 1, -8 = -2*q - 4*k. Does 18 divide 1*(q - -160)\/3?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 36863 to the nearest integer?\nAnswer: 33","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {c: 2, h: 9}. Give prob of picking 1 c and 2 h.\nAnswer: 24\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-3*sqrt(684)*3)**2.\nAnswer: 55404","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 5*o - 3*z - 33404, 2*z - 7971 = -3*o + 12079. Find the third derivative of 9 - 5*y**3 + 6677*y**4 + 3*y**3 - 10*y**2 - o*y**4 wrt y.\nAnswer: -120*y - 12","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(d) = 71*d**3 + 704*d**2 + 643*d + 26. Let g(k) = 71*k**3 + 703*k**2 + 641*k + 27. Let m(h) = 8*g(h) - 9*v(h). Suppose m(b) = 0. Calculate b.\nAnswer: -9, -1, -2\/71","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 348843 to the power of 1\/4, to the nearest integer?\nAnswer: 24","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 44 and 638?\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 26.45 - 31.45. What is the second biggest value in h, -4, -58\/5?\nAnswer: h","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine m, given that m**4 + 1017*m**3 + 312848*m**2 + 24849492*m - 481912128 = 0.\nAnswer: -438, -157, 16","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let b(i) = -i**2 - 557*i - 17209. What is b(-36)?\nAnswer: 1547","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: 85 + (2 - (31 + 17))\nAnswer: 39","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 572?\nAnswer: 2, 11, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -104 + 108. Let m = 0.1 + -0.1. What is the closest to -2\/3 in 1\/2, q, m?\nAnswer: m","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 167\/10010 and 87\/130?\nAnswer: 10010","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {w: 9, x: 3, l: 4}. Give prob of sequence wwx.\nAnswer: 9\/140","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-4 + 2*v + 4)*(-8*v**4 - v**4 + 2*v**4) + 2*v**5 - v**5 + v**5 - 1 - v**5 + 1 + (v + 4*v - 4*v)*(2*v**4 + v**4 - v**4).\nAnswer: -11*v**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 2052920267 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 169059384?\nAnswer: 2, 3, 13, 23, 7853","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 22261 and 272895.\nAnswer: 53760315","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Factor -3*b**2\/5 + 77463114*b\/5 + 77463117\/5.\nAnswer: -3*(b - 25821039)*(b + 1)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let j(h) = 14*h**2 + 18*h - 27. Let b be 1\/(((-12)\/44)\/(-3)). Let v(x) = -5*x**2 - 6*x + 9. Let r(c) = b*v(c) + 4*j(c). List the prime factors of r(-8).\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 40 - 11. Let s = -28.6 + l. Which is the second biggest value? (a) s (b) -2 (c) 1\/8\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0 + -2 - (4 - 7 - (-7 - -3))?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when (-5 - 24\/(-6))*-9 - -106 is divided by 20?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(h) = 3*h**2 + 60*h + 55. Let o be i(-15). Let d = o + 181. What is the remainder when 262 is divided by d?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -10*c + 4*a - 9 = -11*c, -5*c - a + 7 = 0 for c.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -345 + 627. Let u be (-3)\/(-15) + p\/15. Suppose 0 = -4*w + 281 + u. Calculate the greatest common divisor of w and 50.\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.1288213273 rounded to four dps?\nAnswer: 0.1288","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -598978, -598868, -598746, -598606, -598442, -598248, -598018?\nAnswer: -597746","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 24*(-54)\/(-6)*(-11)\/528*-4.\nAnswer: 18","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0? (a) 0 (b) -4 (c) 7 (d) -3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 1 = -3*g - 23. Let j be 18\/(-24) + 2\/g. Does 4 divide 4\/(j*2\/(-8))?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand j**3 + 5*j - 5*j + (2 - 3 + 3)*(-j**3 + j - j) - 223*j**3 - 268*j**3 + 364*j**3.\nAnswer: -128*j**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is 4106287 + 1?\nAnswer: 4106288","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve k = 5*b - 31, -3*k + 15 = -6*k + 2*b for k.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let y(q) = -3*q. Let w(b) = 2*b - 14. Let i be w(8). Suppose 0 = -i*n + 5*r + 27, 39 = 2*n - 3*r + 2*r. Let m(a) = 125 - 61 - n*a - 64. What is y(m(u))?\nAnswer: 63*u","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Work out 0.1 - 55887652.\nAnswer: -55887651.9","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -11*z - 14 = -355. What is the remainder when z is divided by 16?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(t) = -t**2 - t. Let j(m) = -5*m**2 - 5*m + 1. Let a(v) = j(v) - 6*o(v). Let l(u) = -6*u**2 - 2 + 2*u**2 + 1. Determine a(r) + l(r).\nAnswer: -3*r**2 + r","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -74*d + 66*d = -56. Solve 0 = -8*r - d*r - 30 for r.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 5274886740.\nAnswer: 2, 3, 5, 59, 1490081","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1, 5, -1, 480, -2 in increasing order.\nAnswer: -2, -1, 1, 5, 480","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {b: 2, u: 3}. Give prob of sequence bu.\nAnswer: 3\/10","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from fcjjpffdjckkkjf. Give prob of picking 1 f, 1 k, and 1 p.\nAnswer: 12\/455","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (-3)\/(-6) - (-10)\/4. Suppose f*a + 3*d + 3 = 18, 3*a = -5*d + 15. Suppose 2*h + 2*h - 72 = 0. Solve -1 - 1 = 2*r, -a*n - h = 3*r for n.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in -1, 1.7, -28, -17, -3\/8, -0.051?\nAnswer: -3\/8","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -1223*p - 2 + 5 - 3.\nAnswer: -1223*p","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -192, -179, -166?\nAnswer: -153","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is -619.71 + -4306911311?\nAnswer: -4306911930.71","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let r(u) = -2*u. Let z(g) = -60*g. Give r(z(v)).\nAnswer: 120*v","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -0.0056 and -3?\nAnswer: 0.0168","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is 11872642 a multiple of 638?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -182 - -255. What is the tens digit of r?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -11 in -17, 38.6, 0.2?\nAnswer: -17","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (4\/14)\/(((-1610)\/(-196))\/(-23)).\nAnswer: -4\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand (1164 + 343 - 380 + 176)*((0 + i**2 + 0)*(-2*i + 4*i - 3*i) - 3*i**3 - 3*i**3 - i**3).\nAnswer: -10424*i**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Round 7953000 to the nearest 100000.\nAnswer: 8000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let a(x) = -3. Let c(y) = -y - 2. Suppose 51*s = 29*s - 66. Calculate s*c(v) + 4*a(v).\nAnswer: 3*v - 6","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 4142\/1551 + -2\/517. Let r be (2\/(-5))\/((-7)\/(-5)). Let z = -3.05 + 3.35. What is the closest to o in -2, z, r?\nAnswer: z","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 13*s + 12*s + 2 - 8*s + (1 - 1 + 3*s)*(1 + 3 - 2) - 5*s + 2*s + s.\nAnswer: 21*s + 2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 4863*o**3*y - 536*o**3 + 158*o**2*y - 44006*o*y wrt o.\nAnswer: 29178*y - 3216","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Express (24*s + 2*s - 3*s)*(-4*s + 3*s + 4*s)*(0 - 2*s**2 + 0) in the form m*s**4 + l + z*s + w*s**2 + u*s**3 and give m.\nAnswer: -138","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (l*l\/(l*l**(-3\/8))*l**(8\/7))\/(l**(-3))**2 assuming l is positive.\nAnswer: l**(477\/56)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let p(h) = 89*h**3 + 4*h**2 + 4*h - 4. Let b(r) = -178*r**3 - 9*r**2 - 9*r + 9. What is -4*b(c) - 9*p(c)?\nAnswer: -89*c**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*d - 27 = 4*u, -45*d + 44*d + 12 = -5*u for u.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let d be -1 + (2 - (3 - 4)). Solve d*z - z + 1 = 0 for z.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 304 is divided by 28.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (2\/(-3))\/(2\/(-9)). Suppose 3*g + 10 = 5*d, -t*d - 2*d + 15 = -2*g. What is the highest common factor of d and 10?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 4*0.086350275.\nAnswer: 0.3454011","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: (-392)\/(-441)*(-6)\/4\nAnswer: -4\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let q(u) = 41*u + 2144. What is q(-51)?\nAnswer: 53","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 15566 and 344.\nAnswer: 86","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 3\/5 of a centimeter in micrometers?\nAnswer: 6000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is -3 + -46?\nAnswer: -49","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 2 + 1 - 13 - -9?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 27, 42, 59, 78, 99, 122?\nAnswer: 147","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*m**3\/11 - 6*m**2\/11 - 2*m\/11 + 6\/11.\nAnswer: 2*(m - 3)*(m - 1)*(m + 1)\/11","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let c be 5\/30 + (-22)\/(-12). Let h(a) = -2 - 19*a - 7 - 9*a**c + 30*a + a**3. Determine h(8).\nAnswer: 15","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 0 - -6. Let o be (-2)\/(2 - 11\/m). Round o to the nearest 10.\nAnswer: -10","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from oooooo. What is prob of picking 3 o?\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -5220*f**6 + f**5*q**3 - 681*f**2*q + 10*q**3 wrt f?\nAnswer: -626400*f**3 + 60*f**2*q**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let o(l) = -5*l**2 + l**3 + 5 + 675*l - 675*l. Let q = 0 - 3. Let k(m) = -m**3 + 3*m**2 - 3. Determine q*o(i) - 5*k(i).\nAnswer: 2*i**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: -13168.645606956 - 0.1\nAnswer: -13168.745606956","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (18\/(-5))\/(8\/20). Let c = 20 + r. Let w = 231 + c. What are the prime factors of w?\nAnswer: 2, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 0.5, 2, 2\/9, 1\/3 in increasing order.\nAnswer: 2\/9, 1\/3, 0.5, 2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Express -22*d**2 - 58 + 27 + d + 53*d**2 + 3*d**3 - 3*d**2 + 20 as q*d + u + z*d**2 + x*d**3 and give x.\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 301 minutes before 10:24 AM?\nAnswer: 5:23 AM","meta":{"dup_signals":{},"source":"measurement__time_test"},"subset":"dm_maths"} +{"text":"Question: What is 19788.4406 rounded to the nearest 100?\nAnswer: 19800","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let l(p) = 4*p**2 - p + 2. Let w be l(1). Suppose -25 = -x - w*h, -h = -x + 5*x - 43. Let m = 22 + -19. What is the remainder when x is divided by m?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*b - 3*y = 3 + 54, 3*b - 2*y + 82 = 0. Let a = b + 94. Calculate the smallest common multiple of 35 and a.\nAnswer: 70","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*q + 27*c - 1294 = -1237, -4*c = -8 for q.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 26.7 + -23. Let m = -4.2 + n. What is the closest to 0.1 in 0, m, -11?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 1081 to the nearest integer?\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Are 1497 and 3002 non-equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 7776811 is divided by 211.\nAnswer: 195","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let 2*c**2\/3 - 7205542*c\/9 + 14411060\/9 = 0. Calculate c.\nAnswer: 2, 3602765\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let q(o) = 7*o + 5. Let d be q(1). Suppose 0*h + 8 = -3*g + 2*h, 12 = g + 3*h. Solve -3*c - c + d = g for c.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u be 2 + 5\/(75\/(-27)). Which is the closest to -1? (a) u (b) -2 (c) 5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 64 - 13 = -3*m. Let r(g) = g**3 + 6*g**2 - 10*g - 1. Let l be r(-7). Let f = m + l. Solve 0 = -f*s + 7*s for s.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(g) = -g**2 + 3*g + 9. Let b(q) = -14*q**2 + 10*q**2 + 101*q + 2*q**2 + 17 - 95*q. Determine 6*b(x) - 11*y(x).\nAnswer: -x**2 + 3*x + 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the billions digit of 1204303913?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 14 + -12. Suppose -r + w*h - 14 - 3 = 0, -5*h = -5*r - 100. Let f = -17 - r. Calculate the smallest common multiple of 7 and f.\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -3*q + 5515 - 5515 + 5*q - 171*q**2.\nAnswer: -171*q**2 + 2*q","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of 1395, 2790, 4185, 5580?\n\"Answer: 1395*k","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 3 + -5 - 9 - 2.\nAnswer: -13","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Express z + 12545*z**3 - 3 - 12527*z**3 + 8*z as r + m*z + u*z**2 + g*z**3 and give m.\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 146 - 157.8. Let o = 250.1 - 262. Let l = v - o. Which is the closest to 2? (a) l (b) 5 (c) -8\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i be ((-4)\/(-10))\/((-2)\/10). Let l be (i\/3)\/((-4)\/42). Suppose l = -4*h + 3, -x = 2*h. Solve 4*u = -o - 23, 0 = -3*o - x*u - 10 - 9 for o.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(q) = 5*q + 5. Let k be m(0). Suppose -7 = -k*l + 3. Solve -2 = l*p + 4 for p.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((i*i**(2\/7)*i)\/i)**(3\/22))**(-43) assuming i is positive.\nAnswer: i**(-1161\/154)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.00001266752 rounded to 6 dps?\nAnswer: -0.000013","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -5*p + p + 2*n + 14, -4*n + 27 = 3*p for p.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 1 in 1, 3, -26, 1\/280?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 0 times -15?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 11*w = 6*w. Suppose -5*l + 6*b - 3*b = w, 0 = -2*l - 4*b. Solve -4 = -q - l*q for q.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 2177601 divided by 3.\nAnswer: 725867","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (((-16)\/9)\/4)\/((-110)\/(-165)).\nAnswer: -2\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*s**4 - 609*s**3 + 8934*s**2 - 38844*s + 46872 = 0.\nAnswer: -217, 2, 6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let v(t) = 96*t - 41*t + 2 - 55*t + t**2. Let s(q) = 1. What is -3*s(k) + 2*v(k)?\nAnswer: 2*k**2 + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -14*y**5\/5 - 141389958*y**4\/5 - 76754534*y**3 - 302978402*y**2\/5 - 20198556*y\/5 + 8079424 = 0. What is y?\nAnswer: -10099280, -1, 2\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 40928?\nAnswer: 2, 1279","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 12097?\nAnswer: 12097","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -61\/150011407 and 6\/57696695.\nAnswer: 750057035","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 35 + -55. Let i be ((-8)\/u)\/((-4)\/20). Suppose 0 = -0*z - z - 1. Sort z, -4, i in decreasing order.\nAnswer: z, i, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -380 + 524. What is the greatest common divisor of n and 90?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Are -8 and -43 nonequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is 198082967 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 55 + 74. Let a = w + -45. What is the units digit of a?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 676 minutes before 3:13 PM?\nAnswer: 3:57 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -190*p - 45*p + 83*p + 72*p + 85*p.\nAnswer: 5*p","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(128) + 2)*-2 - (sqrt(128) + -3 + sqrt(128) + sqrt(128)*-1))**2.\nAnswer: 48*sqrt(2) + 1153","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 8314.\nAnswer: 2, 4157","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -227, 190, 607, 1024, 1441, 1858?\nAnswer: 2275","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let w(x) = -3425*x - 508. Is 87 a factor of w(-5)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 2\/4*104\/78?\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 1 + (1 + sqrt(1377) - sqrt(1377) - sqrt(17))**2.\nAnswer: -2*sqrt(17) + 19","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -140*d**5 - 1313*d**4 + 4*d**3 - 18665999*d**2.\nAnswer: -8400*d**2 - 31512*d + 24","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve p + 2*v - 3 + 8 = 0, p + v + 2 = 0 for p.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 20 + -17. Let a be 50*(3 - -1 - m). Suppose 2*z + 4*b = a, 2*z - 7*z = -2*b - 173. Is z a multiple of 11?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.099625 to 2 decimal places.\nAnswer: -0.1","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -687*i**3*m*r**3 - 13*i**3*m*r**2 + i**3*m + i**3*r - 2*i**2*m*r + 2*i**2*m - 772*i**2*r wrt r.\nAnswer: -4122*i**3*m*r - 26*i**3*m","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -279573 - 652619 = -32*f. What are the prime factors of f?\nAnswer: 29131","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: -0.46 - 57.3\nAnswer: -57.76","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (p**(-3)*(p\/(p*p*p**(1\/4)))\/p)**19*((p**(6\/7)\/p)\/p**(2\/13))**(3\/17) assuming p is positive.\nAnswer: p**(-617577\/6188)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -9 - -38. Suppose d**4 + 14*d**2 + 64*d - 16 + d**4 - i*d - 17*d - 12*d**3 - 6*d**3 = 0. What is d?\nAnswer: -1, 1, 8","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 2624 and 123?\nAnswer: 41","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 125240?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Express -1 + 2*p**2 + 59*p**4 - 7*p**3 + 6*p**3 - 2*p**4 + 45*p**4 in the form d*p**3 + w*p**4 + b*p + o*p**2 + q and give q.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of -124, -739, -2354, -5467, -10576, -18179, -28774?\n\"Answer: -83*l**3 - 2*l**2 - 28*l - 11","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 39646 is divided by 96.\nAnswer: 94","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*s = 2*c + 10, 0 = -s + 12349*c - 12966*c - 3703 for s.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 14 + -14. Let h(q) = q**3 - 3*q + 2. Let w be h(2). Suppose -4*u - 8 - w = d. What is the nearest to u in -5, 1\/9, 2\/17?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -38 - -88. Suppose q + q - y = 0. Calculate the remainder when q is divided by 7.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 2 (base 11) in base 12?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (h**(-2\/41)*h*h\/h**43)\/((h*(h*((h*h\/h**(2\/21))\/h)\/h)\/h)\/((((h*h\/(h\/(((h*h**(5\/7))\/h)\/h)*h))\/h)\/h)\/h)) assuming h is positive.\nAnswer: h**(-38951\/861)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify c*c**7*((c*c*c**(-2\/55)\/c)\/c)\/c assuming c is positive.\nAnswer: c**(383\/55)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let d(o) = o - 13. Let m = -26 + 35. Calculate d(m).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 627 minutes before 12:11 PM?\nAnswer: 1:44 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 60 + -3. Does 31 divide w?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:46 AM and 9:28 AM?\nAnswer: 42","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*c - 5*k - 3971 = -3915, -2*c = -2*k - 50 for c.\nAnswer: 23","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 5758 - 5749. Let p(l) = -8 - 3 - 7 - 1 + 2*l. Calculate p(j).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -0.2? (a) -0.3 (b) 0.02 (c) 2\/27 (d) 33\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is -4 + -5673221?\nAnswer: -5673225","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 75 - 60. Suppose n = -3*f, -4*a - 4*f = -a - 46. Suppose 3*c - a - 101 = 0. Does 4 divide c?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(c) be the second derivative of c**6\/15 + c**5\/10 - c**4\/6 - c**3\/3 - 4*c. Factor g(k).\nAnswer: 2*k*(k - 1)*(k + 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(b) be the second derivative of -b**6\/5 + 3*b**5\/4 + 3*b**4\/4 - 4*b**3 - 6*b**2 - 240*b. Solve o(i) = 0 for i.\nAnswer: -1, -1\/2, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d be 4\/2*(135\/18)\/5. Suppose 104 = b + d. Suppose 43 = p - b. What is the hundreds digit of p?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(80) + sqrt(5) - sqrt(5)) + 1 + -2 + sqrt(80))**2.\nAnswer: -16*sqrt(5) + 321","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let w(x) be the second derivative of -x**5\/10 + x**4\/4 + x**3\/2 - 3*x**2 - x. Let n be w(4). Let h = 108 + n. Is 13 a factor of h?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(c) = -2*c. Let l(q) = 12*q**2 + q - 1. Let g(s) = 96*s**2 + 6*s - 2. Let r(n) = 2*g(n) - 12*l(n). What is r(m(z))?\nAnswer: 192*z**2 + 8","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 5*o - 7 - 3. Let u(l) = -4 + o*l + 4. Let v(s) = 2668*s + 3*s**2 - 2668*s. Determine u(v(m)).\nAnswer: 6*m**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-2)\/20*6)\/(((-15606)\/(-2720))\/(-51))?\nAnswer: 16\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -535 - -533. What is the nearest to s in -3, -2, 10?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -19.91 - -20.385. Round b to 1 dp.\nAnswer: 0.5","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -4 times -2.82?\nAnswer: 11.28","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let p(v) = v**2 + v - 5. Let k be p(-3). Let f be -1*1\/(k\/(-1)). Which is the third smallest value? (a) -0.1 (b) 1\/4 (c) f\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -5*n**3 + 2715*n**2 - 369915*n + 367205.\nAnswer: -5*(n - 271)**2*(n - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let s be 148\/8 + 2\/(-4). Suppose 2*f + 4 = 5*k + s, -k = 0. List the prime factors of f.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 1407?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -1283*m**4 - 1940*m wrt m?\nAnswer: -15396*m**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of (-8)\/15*(-240)\/(-18) and -39\/4.\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7*i - 10 = -5*i. Let p = i + -7. Let x = 25 + p. What is the units digit of x?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 375.5 rounded to the nearest 10?\nAnswer: 380","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -64 = -3*o - 5*j, -5*o + 5*j + 160 = -0*o. Let u = 34 + o. What is the tens digit of u?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(a) be the second derivative of -31*a**8\/28 - 27*a**4\/4 - 2*a + 6. Find the third derivative of u(y) wrt y.\nAnswer: -7440*y**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -o - 1 = -17. Solve 4*v + 4*w - o = 0, v + 4*w = 3*v - 14 for v.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 615663767 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Convert 43.4301km to nanometers.\nAnswer: 43430100000000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0.7382, 5, -0.3, 0.1, 2, -4\/3 in decreasing order.\nAnswer: 5, 2, 0.7382, 0.1, -0.3, -4\/3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from googggggoogggggo. What is prob of picking 1 o and 1 g?\nAnswer: 11\/24","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 601, 615, 639, 679, 741, 831?\nAnswer: 955","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of -16, 19, 54?\n\"Answer: 35*j - 51","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 4*c - 2*k - 10, -2*k = 4*c - 6*k for c.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.000045367645 rounded to 7 dps?\nAnswer: -0.0000454","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (-2 - -8)\/(-3)*4. Let i = d + 10. Let v = -5 - -10. Solve f - v*b = -3*f, i = -2*f + 2*b for f.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -4.914755 plus -626?\nAnswer: -630.914755","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let d(r) = -10*r + 17. Let o be (1 + -2)*-10 + (-32)\/(-32). Calculate d(o).\nAnswer: -93","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (-24)\/(-180) + 39\/45. Let h be -5 - (-2*(1 + v) + 0). Is h at least as big as -2\/169?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose c + 2 = 0, 4*c + 740 = 5*y - 598. Let j = 447 - y. Is j composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 27812.19 to the nearest 1000.\nAnswer: 28000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let j be -1*4*1\/3. Suppose 5*b + 8 = 3. Let c = 367\/1309 + 1\/187. What is the nearest to c in j, b, 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-64)\/(-54)*(-33)\/44*-9.\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let p(z) = -5*z - 88. Let q be p(-18). Solve 4*o + q = -14, -w = -5*o - 21 for w.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (115\/782)\/((-7)\/(168\/(-30)))?\nAnswer: 2\/17","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -46355 + 169235 = 384*v. What is the highest common factor of v and 535?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 30330 (base 4) in base 16?\nAnswer: 33c","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*t = -3*x - 19, 0 = -5*t - 2*x + 6 + 12 for t.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Round 1945500 to the nearest ten thousand.\nAnswer: 1950000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let w(u) = -3*u**3 - u - 1. Let l be w(-1). Suppose 0*v + 6 = l*v. Suppose 0*h = -h + v. Is 2 a factor of h?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -14081*v + 14069*v = -72 for v.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 5 - ((13 - 31 - 4) + 13 + 1 + -1).\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_test"},"subset":"dm_maths"} +{"text":"Question: Let h(z) = 3*z**3 - 2*z**2 - 2*z + 33. Let q(m) = m**3 - m**2 - m - 2. What is h(j) - 2*q(j)?\nAnswer: j**3 + 37","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2 = -2*t, 0 = k + 6*t - 5*t - 5. Suppose -5*m - 442 = -k*f + f, 2*f - 324 = -4*m. What is the units digit of f?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -0.02476*0.1.\nAnswer: -0.002476","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -1.691 - -1.591. Let h = 15 + -21. Which is smaller: h or z?\nAnswer: h","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(d) = -26 + 26 - d. Let f be 52\/14 - 10\/(-35). Let q(j) = -5*j + f*j + 6*j. Calculate t(q(l)).\nAnswer: -5*l","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let x(b) = 1870*b**3 - 2*b**2 + 9*b - 20. Let q(w) = 1869*w**3 - 3*w**2 + 7*w - 20. Let l(d) = -2*q(d) + 3*x(d). Find the second derivative of l(t) wrt t.\nAnswer: 11232*t","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 0.5, 1\/3, 3, 0.6 in decreasing order.\nAnswer: 3, 0.6, 0.5, 1\/3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is 31785391619 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let b(a) = -14*a + 117. What is b(10)?\nAnswer: -23","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 1.4 - -0.6. Let n = 0.17 + -2.91. Let v = -0.26 + n. Which is the biggest value? (a) s (b) 0 (c) v\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let 1\/2*c**4 - 9\/2*c + 5\/2*c**3 + 3\/2*c**2 + 0 = 0. What is c?\nAnswer: -3, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 716 is divided by 113?\nAnswer: 38","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Does 49 divide 782?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: -2672 divided by -668\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let l(s) = s**2 + 4*s - 3. Let m be l(-5). Suppose m = -4*n - 2*p - 4, -p + 15 = -4*n. Let u(d) = -4*d - 1. Determine u(n).\nAnswer: 11","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -1\/120 in 1\/6, -244, 0.3, -2.68?\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Does 77 divide 178?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is (2\/(-4))\/(1\/(-2334)) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 30452, 30146, 29838, 29528, 29216, 28902, 28586?\nAnswer: 28268","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 4935205918 a multiple of 8?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {x: 1, j: 1, k: 2, v: 1, n: 1, m: 1}. Give prob of sequence xv.\nAnswer: 1\/42","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:20 AM and 8:40 AM?\nAnswer: 320","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let r(x) = 104*x + 313. Give r(-3).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 131041557?\nAnswer: 3, 23, 31, 2269","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Expand (21 + 2*a - 21)*(-2*a + 2*a + 2*a) + (28*a - 6*a + 19*a)*(-1 + 1 + 2*a).\nAnswer: 86*a**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 1964456 to the nearest integer?\nAnswer: 1402","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Divide 436 by -260.\nAnswer: -109\/65","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Factor x**2\/3 + 73*x\/3 - 76.\nAnswer: (x - 3)*(x + 76)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Put 71, -1148, -33, 5 in increasing order.\nAnswer: -1148, -33, 5, 71","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: -5b1 (base 13) to base 3\nAnswer: -1100122","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2 = -5*y - 17. Let v be ((-198)\/y)\/(-3) + 2. Let u be 5\/v - (-8000002)\/8. What is u rounded to the nearest 100000?\nAnswer: 1000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 2518195773 to the nearest integer?\nAnswer: 50182","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 790, 951, 1102, 1243, 1374?\nAnswer: 1495","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify z\/(((z\/z**15)\/z*z)\/z)*z**8 assuming z is positive.\nAnswer: z**24","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*c**2 - 56743368*c - 402476226497928 = 0.\nAnswer: -14185842","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is -270 divided by 4?\nAnswer: -135\/2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) 82 (b) -0.9 (c) -17.01\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of -1981, -7890, -17733, -31510, -49221?\n\"Answer: -1967*i**2 - 8*i - 6","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 273647.\nAnswer: 11, 24877","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Does 5 divide 140790?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*v - 21 = -5 for v.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 143356 (base 7) in base 3?\nAnswer: 1101220021","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let q(s) = s**3 - 5*s + 3. Give q(-2).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: -275835 divided by 44\nAnswer: -275835\/44","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 2728611771?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 19 minutes after 10:22 AM?\nAnswer: 10:41 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*x = -i - 11, 8 + 4 = -4*i. Let o = -4 - 1. Sort x, 5, o.\nAnswer: o, x, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -16*g**2 + 35*g**2 - 2*g**2 + 0*g**2.\nAnswer: 17*g**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 14793318 to the nearest integer?\nAnswer: 245","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Divide 5104 by -7.\nAnswer: -5104\/7","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let z(q) = 17*q - 10. Let o(h) = -281*h + 10. Let u(l) = -57*l + 2. Let c(t) = -o(t) + 5*u(t). Determine z(c(p)).\nAnswer: -68*p - 10","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 464336 to the power of 1\/3, to the nearest integer?\nAnswer: 77","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0.5 in 3\/4, 258, -4\/25?\nAnswer: 3\/4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -h + 3*g + 19, 4*h - h = g + 49. Calculate the smallest common multiple of h and 12.\nAnswer: 48","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(r) = -r**3 - 5*r**2 + 2*r + 14. Let b be j(-5). Let l be -1 - (-804 - 4)\/b. Let p = l - 85. What is the hundreds digit of p?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is o in -3*o**4 - o**3 + 9*o**2 - 3*o - 2 = 0?\nAnswer: -2, -1\/3, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 55663984 and 10952?\nAnswer: 296","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -706, -720, -780, -916, -1158?\nAnswer: -1536","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (r**2)**(4\/13)*(r\/r**(-1\/2))**6 assuming r is positive.\nAnswer: r**(125\/13)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: -23706400+-0.00205\nAnswer: -23706400.00205","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: 8637 (base 11) to base 3\nAnswer: 120122202","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let y(k) = 4*k**3 - 5*k**2 - 5. Let m = -1936 + 1931. Let g(w) = -10*w**3 + 12*w**2 + 12. Calculate m*g(d) - 12*y(d).\nAnswer: 2*d**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let p(a) = a - 1. Let m(d) = -2*d + 27. Let h(k) = m(k) + 3*p(k). Suppose -3*q + 3 = -2*q - 3*z, q + 5*z = -5. What is the tens digit of h(q)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: 20 + -17 + -21 + 8\nAnswer: -10","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -266? (a) 0.2 (b) 0 (c) 37\/3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let y(h) = 2*h**3 + h**2 - 2*h + 1. Let f be y(1). Let w = 1 + 2. What is the third derivative of -w*b**6 - 2*b**5 - b**5 + f*b**2 + 3*b**5 wrt b?\nAnswer: -360*b**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -721.88 to the nearest 100.\nAnswer: -700","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Put -0.1, -2, 57538853, -3 in decreasing order.\nAnswer: 57538853, -0.1, -2, -3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 k when two letters picked without replacement from {l: 5, k: 4, o: 4, p: 3}?\nAnswer: 1\/20","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 302 and 10.\nAnswer: 1510","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let h(m) = -m**3 - 6*m**2 + 7*m - 9. Let w be h(-7). Let q = w - -11. Suppose -q*i - 80 = -6*i. What is the remainder when 37 is divided by i?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 18770 and 95.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1 - (1 + 0) - 1 - (-566 - -564).\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 2 - -2. Let m = -2.1 - -2.1. Sort m, r, -5 in ascending order.\nAnswer: -5, m, r","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 1 + (sqrt(80) + (sqrt(80) + 0 - sqrt(80)))**2*6 - (-1 + sqrt(55)\/(-1*sqrt(275))).\nAnswer: sqrt(5)\/5 + 482","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 3 in -1\/7, 6, 3\/2, 4, -2?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of 167712, 335159, 502606?\n\"Answer: 167447*c + 265","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 344551 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 30 + -18. Suppose 0 = 2*v + z + 8. Let m(j) = j**3 - 16*j**2 - 16*j - 14. Let p be m(17). What is the third smallest value in -3\/7, v, 1, p?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(d) be the first derivative of -21*d**2\/2 - 10*d - 15. List the prime factors of g(-5).\nAnswer: 5, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*w = 5*l - 2834 - 2190, 2*l + 3*w = 2015. List the prime factors of l.\nAnswer: 17, 59","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -1.9 + 1.9. Let y = -20 - -22. Which is the nearest to y? (a) 5 (b) w (c) 1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of 11612722, 23225481, 34838240?\n\"Answer: 11612759*r - 37","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 592 and 370?\nAnswer: 74","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 101111101010000 (base 2) in base 3?\nAnswer: 1020110201","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 94.4 + -94.4. Is c less than 2\/191?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(q) = -3*q**2 - 3*q + 4. Determine o(2).\nAnswer: -14","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is -1210110 - 1210200100?\nAnswer: -1212110210","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Round -51091000 to the nearest 1000000.\nAnswer: -51000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 4 and 37948.\nAnswer: 37948","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: 2304 divided by -288\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 137650, 275290, 412924, 550552, 688174, 825790, 963400?\nAnswer: 1101004","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*r - 574 = 346. Suppose -2*j + r + 14 = 0. Suppose 0 = 4*f + 3*w - j, 3*f - 2*f - w - 61 = 0. What is the units digit of f?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(h) = 77*h**2. Let k(q) be the second derivative of q**3\/3 + 170*q. Calculate l(k(i)).\nAnswer: 308*i**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (0 + 0 + p)*(-112*p - 210 + 210 + 1871*p)*(-2 - 1 + 1) to d*p**2 + b*p + q and give d.\nAnswer: -3518","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is 2 at most as big as 725\/1059?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*j - 8 = -0*j. Suppose 0 = -j*d + 3*h - 23, -22 = 4*d - h - 1. Let n = -9 - d. Sort 1, n, 2 in ascending order.\nAnswer: n, 1, 2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -4, 2\/11761, 3 in ascending order.\nAnswer: -4, 2\/11761, 3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 609 divided by 229.\nAnswer: 609\/229","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (p**(-1\/2))**46*(p*p**(8\/3)\/p)\/(p\/(p*(p*p**16\/p)\/p)) assuming p is positive.\nAnswer: p**(-16\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*n = 4*s - 36, -3*n + 8*n = -5*s + 40 for s.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*w + 27*d - 32*d = -35, -5*w + 40 = 5*d. Solve 0 = -w*r + i - 17, 4*i - 13 = 3*r + 2*i for r.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*l - 7*l = 0. Factor 6*w**3 - 6*w**2 - 11*w - 3*w**5 + 3 + l*w + 3*w**4 + 8*w.\nAnswer: -3*(w - 1)**3*(w + 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*p + 10 = 2*d, 0 = -d + p - 4 + 14. Let z = d + -4. Suppose -4*a + 248 = z*x, -4*x = -4*a + 383 - 119. Is a a multiple of 17?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((l*l**(-2\/13))\/l)\/(l**(-2\/7)*l)*l**(1\/5)\/l*l\/(l*l**(-3)))\/((l**(-1)\/l)**(1\/90))**17 assuming l is positive.\nAnswer: l**(7001\/4095)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the tenth root of 109729099 to the nearest integer?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:35 AM and 8:47 PM?\nAnswer: 612","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 31 - 29. Let g = 55 + -50. Which is the second smallest value? (a) w (b) 5\/3 (c) g\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (-29)\/406 + 227943\/126. Calculate the greatest common divisor of 27 and r.\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 0.9906 and -2.8.\nAnswer: -2.77368","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: 9 + (-790)\/90 - (-3)\/(54\/68)\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*b + 47*f - 52*f - 150 = 0, -5*b = -4*f - 147. Are 27 and b equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -0.3 + -0.2. What is the nearest to 0.1 in -3, -1\/3, l?\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-5*s**2 - 2*s**2 + 9*s**2)*(0 - 2 + 0).\nAnswer: -4*s**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is (-2070)\/(-1104)*(-576)\/(-90)?\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {b: 7, u: 1, t: 1, h: 4}. What is prob of picking 3 h?\nAnswer: 2\/143","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is 5207742 a multiple of 208?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 201107?\nAnswer: 201107","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*i - 3*l + 27 = 0, -3*i = 2*i - 2*l - 10. Suppose 17*o - 20*o = 9*o. Put o, i, 24 in descending order.\nAnswer: 24, i, o","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -128 or -122?\nAnswer: -128","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve 8 - 11 = -p - 4*q, 6 = -3*p + 3*q for p.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: How many grams are there in one tenth of a tonne?\nAnswer: 100000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is -1 - (2 + (-2 - -4))?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (-30)\/(-132)*24\/45. Which is smaller: 0 or b?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 30015 and 14145?\nAnswer: 1230615","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 4 times -0.1255?\nAnswer: -0.502","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence tztz when four letters picked without replacement from {z: 2, p: 6, t: 4}?\nAnswer: 1\/495","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*g = 5*j - 28 + 20, 0 = -2*j + g + 2. Solve p = -2*w, 0 = -j*p + 3*p - 12 for w.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(u) = u**3 - 12*u**2 - 8*u - 30. Determine o(13).\nAnswer: 35","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8 = -3*x - 20, -j - 12 = 4*x. Let r be (0 + 14\/(-21))*(10 + -1). Let u be r + 52\/8 - 11\/(-2). Solve -2*t + j = -2*n, -2*t + u*n - 2*n = -4 for t.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 6.9 + -15. Let k = -8 - r. What is the closest to k in -1, -3\/4, 2\/5?\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -66210 rounded to the nearest 1000?\nAnswer: -66000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (49\/(-77))\/(-12*9\/(-297)).\nAnswer: -7\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3*q + 2*q**2 + 3*q)*(3 + 2 - 3) + 2*q + 27*q**2 + 8*q**2 - 5*q**2.\nAnswer: 34*q**2 + 2*q","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*s + 3 + 5 = 0. Let i(a) = 3*a**2 - 33*a - 23. Let w be i(12). Let p = w + s. Calculate the highest common factor of 9 and p.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -101221221122 (base 3) in base 6?\nAnswer: -4342455","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Express -43 + 125 - 42 - 506*v - 40 as d + t*v and give t.\nAnswer: -506","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve -63640*g - 13056 = -63436*g for g.\nAnswer: -64","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let b(z) = 0*z**2 + 4 - z - 5*z**2 + 1 + 4*z**2. Give b(0).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:21 AM and 11:20 AM?\nAnswer: 539","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((6*(sqrt(75) + sqrt(75) + -1) + 3)*4 + -1)*5)**2 + -4.\nAnswer: -156000*sqrt(3) + 4324221","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is 490 a multiple of 35?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 12385691 minus -408777?\nAnswer: 12794468","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Factor -m**4\/7 + 5*m**3\/7 - 3*m**2\/7 - 9*m\/7.\nAnswer: -m*(m - 3)**2*(m + 1)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-292)\/(-730))\/((-2)\/(-120)).\nAnswer: 24","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is -4 + -1501?\nAnswer: -1505","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 18*f**4 + 40*f**3 - 65*f + 1107695 wrt f.\nAnswer: 72*f**3 + 120*f**2 - 65","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 1574633 and 30019.\nAnswer: 2729","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Convert -7 (base 8) to base 10.\nAnswer: -7","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -35 + 35 - 6878*x - 45292*x.\nAnswer: -52170*x","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-314*d - 163*d**4 + 314*d)*(-6*d - 2*d - 6*d).\nAnswer: 2282*d**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let t(s) = -15*s - 57. What is t(10)?\nAnswer: -207","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 979847?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 0 + 1. Suppose -5*t + 10 = 5*z, 16 = 4*z + t - p. Let q(c) = -c**3 + 10*c**2 + 8*c - 1. Let n be q(-1). Solve z*w = n*w for w.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 315993?\nAnswer: 3, 105331","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is -2 - (97 + -5) - (10 + -10 + 20 + -19)?\nAnswer: -95","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Find h such that -2*h**5\/15 + 1388*h**4\/3 + 62674*h**3\/15 - 36124*h**2\/3 - 1002272*h\/15 + 222656\/3 = 0.\nAnswer: -10, -4, 1, 4, 3479","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*l + 5*f - 80 = 0, -3*l + 5*l - f = 104. Let j = l - 22. Calculate the remainder when j is divided by 10.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 3790762 and 10?\nAnswer: 18953810","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 446\/110467 or 0?\nAnswer: 446\/110467","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 16260, 32498, 48736?\nAnswer: 64974","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: -5+-3.709513285\nAnswer: -8.709513285","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (-138039)\/(-1530) - 5\/20. Let l = p - 1811\/20. Let n = -17\/4 - -19\/4. Find the common denominator of n and l.\nAnswer: 102","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1051697924 a multiple of 2123?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let j(o) = o**2 + 22*o + 27. Let x be j(-9). Let d be 2\/5 - (-36)\/x. Suppose 14*i - 318 + 80 = d. Calculate the remainder when 62 is divided by i.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 66*(-14)\/112 + 3.\nAnswer: -21\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Add together -0.015 and -0.13.\nAnswer: -0.145","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is 56 + 9?\nAnswer: 64","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth root of 28916 to the nearest integer?\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 895 - 895.5. Let t = -8.2 + 9. Let q = p + t. What is the third biggest value in -1\/3, q, 9?\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 902 and 7298.\nAnswer: 82","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (14\/35)\/(-1 - (-63)\/15).\nAnswer: 1\/8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is 28467231809 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -6*h + 3*h**2 - 3*h + 3*h + 2*h.\nAnswer: 3*h**2 - 4*h","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -41 - -45. Let u(g) be the second derivative of -19*g + 14*g + g**5 - 2*g**4 + 4*g**q. What is the third derivative of u(o) wrt o?\nAnswer: 120","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*r - 132*x = -137*x + 31, 4*x + 16 = -12*r for r.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 u and 2 b when three letters picked without replacement from rbrjzrrubbubjzzjrrr?\nAnswer: 4\/323","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is 79704 a multiple of 36?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Round 37628 to the nearest 10.\nAnswer: 37630","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let m(i) = -131*i**3 + 3*i**2 - i - 1. Let v be m(1). Find the common denominator of 37\/(-3)*21\/(-154) and (-1 + 3)*v\/(-8).\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -1429941 times -0.5?\nAnswer: 714970.5","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -23*k - 4738 = -168429. What are the prime factors of k?\nAnswer: 11, 647","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*n**3\/3 + 96*n**2 + 1966*n - 6188\/3.\nAnswer: 2*(n - 1)*(n + 26)*(n + 119)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve -109*u - 135 = 1404 - 122 for u.\nAnswer: -13","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 9966492 - 9978351 = -177*p for p.\nAnswer: 67","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve -106*k = 69*k + 1642 + 1508 for k.\nAnswer: -18","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let p(f) = -10*f**2 - 21*f - 216. Let s(x) = 51*x**2 + 108*x + 1080. Determine 36*p(l) + 7*s(l).\nAnswer: -3*l**2 - 216","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let g(u) = -30*u + 56. Let t be g(-9). Let m = t - 282. Calculate the highest common factor of 121 and m.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -12 + 18. Suppose 0 = -q - 5*g + l, -11*q + 2*g - 12 = -9*q. Which is the second smallest value? (a) 1\/9 (b) 1\/5 (c) q\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(b) = b - 7. Let f(d) = -d + 10. What is 5*f(p) + 7*y(p)?\nAnswer: 2*p + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -173 and -2625?\nAnswer: 454125","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -v - 1711*v**2 + 0*v**4 - 1711*v**2 + 3425*v**2 + 2*v**4 + 4*v**3 to the form p*v**3 + x + k*v**4 + f*v + q*v**2 and give f.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*k - 2*r = 10, -99 + 116 = -3*k - 5*r for k.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) 0.4 (b) -5416 (c) -19\/309\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -476 or -468?\nAnswer: -468","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 412, 1581, 3530, 6259, 9768, 14057?\nAnswer: 19126","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 0 - 4 - (-6 + 4).\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8*w = 6*w + 48. Suppose -23*u + w = -20*u. What is the greatest common factor of 12 and u?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (-110)\/11*(-3)\/10. What is the third derivative of -135*l**3 - r*l**5 + 58*l**2 + 136*l**3 + 22*l**2 wrt l?\nAnswer: -180*l**2 + 6","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(y) = y**3 - 7*y**2 + 13*y - 13. Let j(w) = 4*w. Let n be j(-4). Let x = 26 + n. Calculate the remainder when b(6) is divided by x.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 580065*8\/24 - -2 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*x - 12 = 3. Let o(p) = -p + 4. Let g be o(x). Let c be ((-3)\/3)\/((-1)\/g). Is c > 2\/37?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 28 + -8. Calculate the smallest common multiple of 2 and u.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 148, 297, 446, 595, 744, 893?\nAnswer: 1042","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*y**3\/21 + 19960*y**2\/21 + 5204552*y\/21 - 3496320\/7 = 0. Calculate y.\nAnswer: -9712, -270, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*b = -3*f - 80, -4*f + 120 = -3*b + f. What are the prime factors of (b\/15)\/(2\/(-6))?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 594000 by 118800.\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 33454698?\nAnswer: 2, 3, 5575783","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Factor -212*y**3 - 384*y**2 - 132*y + 40.\nAnswer: -4*(y + 1)**2*(53*y - 10)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let d(s) be the third derivative of 52*s**2 + 1\/60*s**5 - 1\/24*s**4 + 0*s**3 + 0*s + 0. Let p(b) = 4*b - 2. Give 3*d(a) + p(a).\nAnswer: 3*a**2 + a - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 504 is divided by 17.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 22.4 + -24.27. Let i = h - 3.13. Which is the closest to -4? (a) -1\/4 (b) 1 (c) i\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 159 - 159 - ((0 - 7) + (-5 - -8))?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 528 and 240?\nAnswer: 2640","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -15 + 26. Let z(x) = 4*x - 14. Let h be z(r). Let l = -8 - -20. Calculate the highest common factor of h and l.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*o = -4*b - 37, 8*o + 54 = -10*o for b.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.4 minus 20.711729?\nAnswer: -20.311729","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence yy when two letters picked without replacement from yybyyymyyyyymybmm?\nAnswer: 55\/136","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_test"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of -1724, -1712, -1688, -1646, -1580, -1484, -1352, -1178?\n\"Answer: j**3 + 5*j - 1730","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: -5 - (3 + (-14 + -4 - -13))\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let y(n) = n**2 + 7*n + 14. Suppose 564 + 16 = -116*s. What is y(s)?\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*n**3 + 33*n**2 = 0.\nAnswer: -11, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -4 + 16. Let h = v + 18. What is the greatest common divisor of h and 10?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -7*k**2 - 47 + 9*k**3 - 20 - 140*k**3 - 30 + 128*k**3 as z + p*k + f*k**2 + l*k**3 and give f.\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let p(r) be the second derivative of -r**5\/20 + r**4\/2 - 2*r**3\/3 - 3*r**2\/2 + r. Let f be p(5). Let d be (1 - (f + 0))*0. Is 1\/4 greater than d?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -2*h**5 + 3*h**2 - 3*h**2 + (-6 + 15 + 6)*((1 - 2 + 3)*(h**5 + 4*h**2 - 4*h**2) - 2*h**3 - h**5 + 2*h**3).\nAnswer: 13*h**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let g(o) be the second derivative of -o**3\/3 - 9*o**2 - 36*o. Let k be g(-10). Suppose -m + z = -0*m - 4, -3*z = -k*m + 9. Solve -m*b = -b + 4 for b.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 2\/3? (a) -0.4 (b) 4\/3 (c) -0.06 (d) 15\/13\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 21245 = 42*d + 4697. List the prime factors of d.\nAnswer: 2, 197","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is -16350 + 5?\nAnswer: -16342","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 73*u - 78*u - 5 = 0. Sort -6, u, -8.\nAnswer: -8, -6, u","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1033009808?\nAnswer: 2, 37, 227, 7687","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Convert 76.00551 litres to millilitres.\nAnswer: 76005.51","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Express -2 + 1 + 1600*f - 1 + 0 - 1122*f in the form w*f + j and give j.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in -14221.7, -5, 0.5?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence llqq when four letters picked without replacement from {w: 1, l: 4, h: 2, q: 2}?\nAnswer: 1\/126","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 105 + -59. Is (s\/3)\/2*3 a multiple of 23?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 935819?\nAnswer: 935819","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = k - 2*k + 5*k for k.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Convert 0.3907931 millennia to months.\nAnswer: 4689.5172","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 101 minutes after 11:04 PM?\nAnswer: 12:45 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 732 to the nearest integer?\nAnswer: 27","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Simplify l**(-3\/5)*(l*l*l**(-1))\/l*(((l*l**(-1\/3))\/l*l)\/l)\/((l*l*l**(-1\/14)*l)\/l*l) assuming l is positive.\nAnswer: l**(-811\/210)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 81185 divided by 5.\nAnswer: 16237","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Factor -16*r**4\/13 - 6018*r**3\/13 - 778998*r**2\/13 - 37568806*r\/13 - 372027810\/13.\nAnswer: -2*(r + 121)**3*(8*r + 105)\/13","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Convert -111 (base 3) to base 9.\nAnswer: -14","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -1017\/2*t**2 + 678 + 6*t - 3\/2*t**4 - 174*t**3 = 0. Calculate t.\nAnswer: -113, -2, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 113961286?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let 2*b**2\/11 - 10*b\/11 - 1500\/11 = 0. What is b?\nAnswer: -25, 30","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let l(j) = -5*j - 11. Let o be l(-4). Let m be (-18)\/81 + (-7)\/o. Which is greater: -1\/15 or m?\nAnswer: -1\/15","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(o) = -3*o**3 + 97*o**2 + 65*o + 37. What is s(33)?\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 8 and 212?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Work out -5.27 * -4.\nAnswer: 21.08","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: 74.29 times -883\nAnswer: -65598.07","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is 680444147 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.0551 to three dps.\nAnswer: -0.055","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 16886936 + -16886936.140200909. Let s = 0.1402 + v. What is s rounded to 6 dps?\nAnswer: -0.000001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 21 and 299019.\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Convert 145 (base 10) to base 6.\nAnswer: 401","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-5*sqrt(119)*-1 - 3*1*sqrt(119))\/(sqrt(84)\/(sqrt(24)\/sqrt(2))*-3).\nAnswer: -2*sqrt(17)\/3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (24\/18)\/((-4)\/(-6)). Suppose y*o - 8 = 14. Calculate the highest common factor of 22 and o.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 5 - 7. Let x = -1 - -3. What is the remainder when 324\/78 + c\/13 is divided by x?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 20820 to the nearest one thousand.\nAnswer: 21000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 215 and 7605.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 155*d - 158*d - 6 for d.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 745710.\nAnswer: 2, 3, 5, 7, 53, 67","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 6? (a) 911 (b) -1331 (c) -0.4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let j(f) = f. Let m be j(11). Suppose -q + 3*l - 2 = 0, -m = 3*q + 5*l - 33. Solve 3*r - 7*r + 2*a - 16 = 0, 4*r - q = -3*a for r.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-1449)\/(-5796))\/((-1)\/116).\nAnswer: -29","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -164, -356, -676, -1124, -1700?\nAnswer: -2404","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: -5.84 + -43.33\nAnswer: -49.17","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -406 - -3249\/8. What is the nearest to 1 in 1\/6, 0.1, 0, r?\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 161.3097 tonnes in grams?\nAnswer: 161309700","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Round 19716.74 to the nearest 10.\nAnswer: 19720","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.00212447 to 3 dps.\nAnswer: -0.002","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Put 0, 2, -39, 1, 3, -1 in increasing order.\nAnswer: -39, -1, 0, 1, 2, 3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-3*(-1*sqrt(171)*1 - sqrt(171))*2)\/((-6*sqrt(1350))\/(sqrt(54)*-1)).\nAnswer: 6*sqrt(19)\/5","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 3 w and 1 a when four letters picked without replacement from wawaaw.\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 40\/(-2)*(20\/45)\/(100\/(-990))?\nAnswer: 88","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let p(j) = -j**2 + 7*j + 5. Let k be p(8). Let i be (k + 0\/(-3))\/(-1). What is the units digit of 1\/(2 + (-3)\/i)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*m**2\/3 - 7144*m\/3 - 716286.\nAnswer: 2*(m - 3851)*(m + 279)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence lyll when four letters picked without replacement from lllyyllyyllyy?\nAnswer: 21\/286","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -7.77 + 8.791. Let g = v - 0.91416. Let a = -0.106 + g. What is a rounded to 4 decimal places?\nAnswer: 0.0008","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(m) = -m**3 + 6*m**2 + 60*m - 122. What is the ten thousands digit of y(-22)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 5\/2*((-93)\/155)\/(3\/1)?\nAnswer: -1\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -1008*z + 501*z + 501*z.\nAnswer: -6*z","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 r and 1 v when three letters picked without replacement from vvvrvvvrvvrvvrvrvvvv?\nAnswer: 5\/38","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 18710?\nAnswer: 2, 5, 1871","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let q be 4 + -1 + (1 - 18). Let m = 37 + q. What is the units digit of m?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -4 - -2. Suppose -g + 2*i = -2 + 11, 3*g - 5*i + 25 = 0. Let r = -0.6 - -0.9. What is the nearest to q in r, 4, g?\nAnswer: r","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is -311023 + -44?\nAnswer: -311111","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 1\/3? (a) -4 (b) -0.233 (c) -2\/29 (d) -25 (e) 1\/10\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is 1956 not equal to 2?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of 1495, 1540, 1581, 1618?\n\"Answer: -2*t**2 + 51*t + 1446","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 992, 1003, 1028, 1067, 1120, 1187, 1268?\nAnswer: 1363","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (b**(-3)\/b*(b*b**(-2\/5)*b)\/b)\/(b*b*b\/(b*b\/((b\/(b\/b**0))\/b)*b)*b*b*b**(-3\/10)) assuming b is positive.\nAnswer: b**(-41\/10)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let c(v) = -v**3 + v**2 - 1. Let p = -5 + 8. Let i(o) = -3*o**2 + 3 + 3*o**3 - p*o**3 + 4*o**3 - o. Give -6*c(w) - 2*i(w).\nAnswer: -2*w**3 + 2*w","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -33827\/51984 + 87\/361. Find the common denominator of n and 89\/72.\nAnswer: 144","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of -55724, -111290, -166856, -222422, -277988?\n\"Answer: -55566*k - 158","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -3.2 + 3. Let t = d - -0.5. Let i be (-5)\/(-6) - 1\/(-2). Which is the closest to 1\/3? (a) i (b) -1\/7 (c) t\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: 4123c (base 14) to base 8\nAnswer: 462266","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let r(i) = 1410*i + 290405. Give r(-206).\nAnswer: -55","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let w(q) = 2*q - 3. Let r = -20 + 6. Let p = r - -10. What is w(p)?\nAnswer: -11","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -46036, -46014, -45976, -45916, -45828, -45706, -45544?\nAnswer: -45336","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {g: 2, y: 1, x: 2, f: 1, r: 2}. Give prob of picking 1 x and 1 y.\nAnswer: 1\/14","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2002 = 5*t - p, 65*p = t + 60*p - 386. Does 9 divide t?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 5*d + 9*d**5 - 5*d + (-2 + 2*d + 2)*(-340 + 83*d**4 + 340) - 2*d**2 + 2*d**2 + 2*d**5.\nAnswer: 177*d**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -54*k + 12*k - 42*k - 5*k.\nAnswer: -89*k","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2281462?\nAnswer: 2, 23, 49597","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -1 in -4, 0.4, -91?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 6470927 to the power of 1\/2, to the nearest integer?\nAnswer: 2544","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: 10*(-20)\/(-400)*608\/56\nAnswer: 38\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 28 + -49. Let y be 4*7\/(z\/(-6)). Suppose 0 = -4*i - 0 + y. Which is the nearest to 0? (a) i (b) 0.5 (c) -0.2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 18267 + -36533\/2. Let g = -0.06 - -0.26. Put p, -99, g in descending order.\nAnswer: p, g, -99","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 39546 divided by -2?\nAnswer: -19773","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Expand -12 + 945*r**3 - 473*r**3 + 3*r - 463*r**3 + (r**2 - 2*r + 2*r)*(4*r + 3*r - 6*r).\nAnswer: 10*r**3 + 3*r - 12","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let h(g) = -g**3 - g**2 + 3*g + 2. Let a be h(3). Let m(x) = -2*x**3 - 50*x**2 - 13*x - 28. What are the prime factors of m(a)?\nAnswer: 3, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is 1011210 + -2?\nAnswer: 1011202","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 225 + -530. Let r = h - -192. Let n = 229\/2 + r. Which is bigger: n or 8\/11?\nAnswer: n","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {y: 3, l: 4}. Give prob of picking 3 l and 1 y.\nAnswer: 12\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let j(x) = -9*x - 2. Let p(c) = c + 1. Let u(v) = -j(v) - 5*p(v). Let f(k) = 3*k - 2. Determine -5*f(y) + 4*u(y).\nAnswer: y - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Does 7 divide 22820?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 476 - -282. Is k a multiple of 67?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 56.87073 months to millennia.\nAnswer: 0.0047392275","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is -1 + 2 + (16 + -11 + -23 - 13)?\nAnswer: -30","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -83 or -85?\nAnswer: -85","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let c be ((-27)\/(-6) - 2)*(-822)\/685. Let n(k) = -7*k**3 - 5*k**2 - 3*k - 3. Let f(r) = -r - 1. Determine c*f(s) + n(s).\nAnswer: -7*s**3 - 5*s**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 74 = 4*b + 238. Suppose 0 = -62*i + 45*i + 1445. Let z = i + b. What is the greatest common factor of z and 4?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (-4 + (4 - -4))\/(-2*13\/(-1)). Which is the nearest to 1? (a) -2\/59 (b) -3 (c) x\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 30 and 8630.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(5) + 3 + 1 - ((sqrt(605) - sqrt(605)*1) + sqrt(605) + sqrt(605))**2)*3.\nAnswer: -7248 + 3*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 160 + -155.95. Let j = 0.05 - h. Let z = j - -3.9977. What is z rounded to 3 dps?\nAnswer: -0.002","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u be 7\/2*45*8\/10. Let q = u + 336. Suppose -3*k + 3*r = -351, -2*r + 4*r = -4*k + q. What are the prime factors of k?\nAnswer: 2, 29","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(q) = -2*q**3 - 5*q**2 - 2*q + 7. Let a be n(-3). Solve 2*h = h - 5*b - a, 4*b + 26 = 2*h for h.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 138 + -125. Suppose -10*g = 9*g - o*g. Solve g*i + 2*b = -5*i - 3, 0 = 2*i - 2*b + 4 for i.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 1*sqrt(1872)*3 + sqrt(1872).\nAnswer: 48*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 9*s = -0*s - 36. Let j(c) = 5*c**2 - 3*c + 3. Let n(r) be the first derivative of 2*r**2 + 1 - 3*r**3 - r**3 - 4*r + 2*r**3. Calculate s*j(o) - 3*n(o).\nAnswer: -2*o**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let u(w) = -4 + 17 - 7 - 5. Let j(o) = -27*o**2 + o + 53. Let c(d) = j(d) + 6*u(d). Differentiate c(y) with respect to y.\nAnswer: -54*y + 1","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 27 divide 3911848093?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Put -13, -6, -0.4, 3 in decreasing order.\nAnswer: 3, -0.4, -6, -13","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*x - 1 = -3*n, 4*x - 21*n - 99 = 2*n for x.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -n + 3322 + 3811 = 4*o, 5*n - 35731 = 2*o. Is n composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -1500 by 2.\nAnswer: -750","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let w be 19\/((-1615)\/(-10)) - (-23)\/(-51). Which is the nearest to 0.1? (a) -0.3 (b) w (c) -33\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -2*k**3 - 13*k**4 + 8*k**4 - 5*k**4 + (k**4 + k**4 + 0*k**4)*(-1 + 3 - 3).\nAnswer: -12*k**4 - 2*k**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Sort -4, 0, 3, 20, -1 in ascending order.\nAnswer: -4, -1, 0, 3, 20","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-80)\/(-18)*763\/3052?\nAnswer: 10\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: ((-46)\/(-299))\/(5\/(-65))\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 578936686607 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let c(n) be the first derivative of n**2\/2 + n + 2716. Let u(x) = x + 0*x - 4*x - 8 + x. Calculate -4*c(h) - u(h).\nAnswer: -2*h + 4","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -285443, -285421, -285383, -285335, -285283, -285233?\nAnswer: -285191","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 2*9\/4*16\/(-24).\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in -47.669, 0.2, -14\/5, -1\/4?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1028925 is divided by 736.\nAnswer: 733","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is -9284 (base 13) in base 4?\nAnswer: -10323323","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let i(w) = w**3 + 7*w**2 + 9*w - 32. What is i(-4)?\nAnswer: -20","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -5328*b**2 + 2*b + 328.\nAnswer: -10656","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -6*(sqrt(11) + -2 + 3) + -3 + sqrt(891)*-2.\nAnswer: -24*sqrt(11) - 9","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in -25.3, 24, -0.1?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*k + 83 = -3*q, 2*k - 2*q - 4 = 30. Which is smaller: k or 15?\nAnswer: 15","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*y + 8 = 4*f - 13, -15 = -5*y. Let w be 4*((-450)\/(-8))\/f. Let j = 46 - w. What is the remainder when 41 is divided by j?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 16 a factor of 8596?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 3685?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: -6*(5\/10)\/((-4)\/2)\nAnswer: 3\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 8301 and 24.\nAnswer: 66408","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve -20*q**2\/7 - 748*q\/7 - 296\/7 = 0.\nAnswer: -37, -2\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 20 divided by 132.\nAnswer: 5\/33","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is -2ee2 - 0?\nAnswer: -2ee2","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let z(p) = 3*p**2 + 3*p + 3 + 0*p + 2*p + p**3. Let a be 6*(14\/(-4) + 3). Give z(a).\nAnswer: -12","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (z**9\/(z\/z**(-4\/3)))**(-3\/10)\/(z**(2\/5)\/z**(1\/12))**(17\/4) assuming z is positive.\nAnswer: z**(-803\/240)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*d**5 - 156*d**4 - 11556*d**3 + 412668*d**2 + 3100032*d - 12690432 = 0.\nAnswer: -51, -9, 3, 48","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 8 + -7. Suppose -5*g = -5*j + 30, g - 5*j = -10 - 4. Put g, k, -1 in decreasing order.\nAnswer: k, -1, g","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -2*m - 3 + 3 + 5*m - m - 2*m + (3 - 3 + 2)*(-3 + 3 + m) + 58 + m - 62 + 0*m to the form a*m + v and give v.\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -7? (a) -0.01 (b) -0.1 (c) -0.17 (d) 5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 1\/4? (a) 4 (b) 5 (c) -274 (d) -0.5\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 78\/(-507) + -1 + (-525)\/52 and -3\/70.\nAnswer: 140","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 975 and 30?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 21848816 to the power of 1\/10, to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 10242, 9816, 9390, 8964, 8538?\nAnswer: 8112","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 12 + 8 + -5 + -6?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -29 = -2*v + 23. Let q = 4711 + -4687. Which is smaller: q or v?\nAnswer: q","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: -3222 divided by -3\nAnswer: 1074","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 423 - 417. Let s be (2*2)\/((-2)\/(-3)). Suppose -6 = -n*g + s. Solve -2 = -g*p - 0 for p.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -0.04 + 0.44. Let u = 4 - 4.1. Sort u, x, 1.\nAnswer: u, x, 1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(j) be the first derivative of -5*j**3\/3 + j**2\/2 - 6. What is z(1)?\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many centuries are there in 779.688 years?\nAnswer: 7.79688","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let l(x) = -4*x**2 + 45*x + 568. Calculate l(19).\nAnswer: -21","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 90 - -22. What is the highest common divisor of 21 and a?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 552771071 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Put 0.1, -91, -5, -4, -2 in descending order.\nAnswer: 0.1, -2, -4, -5, -91","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -84, -166, -248?\nAnswer: -330","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 37746 and 134541?\nAnswer: 62696106","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -144 = 6*v - 18*v. What is the tens digit of -1*2\/v - (-9870)\/36?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-5 + 2*h + 5)*((-24 - 32 + 37)*(-3 + 2 - 3) + 0 + 3 + 0 - 2 + 2 + 3).\nAnswer: 164*h","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 46770808 and 35.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let z(w) = -w**3 - 7*w**2 - 82*w - 709. Let u be z(-8). Solve -2 + 13 = u*v for v.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*m - 7*m = 20. Which is the nearest to 1? (a) 1 (b) 5 (c) m\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -2\/19, -28, 5, 2, -0.1 in decreasing order.\nAnswer: 5, 2, -0.1, -2\/19, -28","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (-15)\/(-21) - ((-24)\/(-14) - 2). Solve 2*l + 1 = -g for l.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 10856 is divided by 122.\nAnswer: 120","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let n(y) be the second derivative of -11*y**5\/5 - 4*y**3 + 25*y. What is the second derivative of n(h) wrt h?\nAnswer: -264*h","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (-10)\/(-2) + (-1 - 1). Suppose 0 = 2*t + 4*b, -b - y*b = 4*t - 4. Solve 0 - 2 = -t*j for j.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Add -4926507041 and 0.06.\nAnswer: -4926507040.94","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-549*i**3 + 43087*i - 86168*i - 3312*i**3 + 43081*i)*(1 - 1 + 3).\nAnswer: -11583*i**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let f(m) = 4*m**3 + 6*m**2 - 8*m - 6. Let o(h) = 5*h**3 + 7*h**2 - 9*h - 6. Let c(n) = -4*f(n) + 3*o(n). Is c(-5) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 0 or -586\/55233?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-11 - 0) + (916 + -907 - ((0 - 22) + -2)).\nAnswer: 22","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose w - 2*k - 369 = 0, -20*k = -2*w - 22*k + 708. What are the prime factors of w?\nAnswer: 359","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(p) = -8*p**2 - 11. Let g(y) be the first derivative of y**3 + 4 + y**3 - y**3 + 4*y. Calculate -11*g(c) - 4*t(c).\nAnswer: -c**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 67387 and 120949?\nAnswer: 79","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Factor -5*f**3 + 110*f**2 - 455*f + 510.\nAnswer: -5*(f - 17)*(f - 3)*(f - 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -71, -106, -201, -386, -691, -1146?\nAnswer: -1781","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 96, 278, 568, 960, 1448?\nAnswer: 2026","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from qpsyhyf. Give prob of picking 1 f and 1 y.\nAnswer: 2\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 2\/((-10)\/65)*1*(-282)\/1222?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: -4 times -1519\nAnswer: 6076","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 25 = 2*x + 3. Suppose x*o - 2*o = 0. Calculate the smallest common multiple of 26\/(-4)*1*(o - 2) and 11.\nAnswer: 143","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (6*(sqrt(88)*-1)\/sqrt(8))**2.\nAnswer: 396","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Sort -13, 45709, 1 in decreasing order.\nAnswer: 45709, 1, -13","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let v(h) be the second derivative of 0 - 1\/2*h**2 - 2*h + 1\/3*h**4 + 0*h**3. Suppose 0 = -2*y + 2*a, -y - 2*a - 2 - 1 = 0. Calculate v(y).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 288*h**5 + 14*h**3 + 78341 + 5*h - 78134 + h**2 - 13*h**3 wrt h.\nAnswer: 17280*h**2 + 6","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -108.76 - -107. What is a rounded to one decimal place?\nAnswer: -1.8","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -10214539*q**4 + 547616*q**2 + 2*q wrt q?\nAnswer: -245148936*q","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 27*d**3 - 2*d**2 - 184 wrt d.\nAnswer: 81*d**2 - 4*d","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let y(m) = 689*m - 619415. What is y(899)?\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Expand (900 - 574 - 1008)*(4*u - 2*u - 3*u).\nAnswer: 682*u","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (3 + -5*(sqrt(80) + -2 + sqrt(80))*3 + (sqrt(80) + 5*(sqrt(80) + 1) - (-1 + sqrt(80))*-4))**2.\nAnswer: -5440*sqrt(5) + 33156","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (3\/15)\/(33\/110). Let c = -2.1 + 2. What is the second biggest value in z, 0.1, c?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(s) = -s**2 - 6*s + 3845. Is l(0) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(l) = l - 7. Suppose 5*d - 9 = -o, 2*o + 2*d - 36 = 7*o. Let k(v) = 0 + 5 + 1 - v. Give o*c(f) - 7*k(f).\nAnswer: f","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of 241, 498, 927, 1534, 2325, 3306, 4483?\n\"Answer: i**3 + 80*i**2 + 10*i + 150","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 804?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 4771.\nAnswer: 13, 367","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is 742767899 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (60\/(-27))\/((-6)\/27). Solve 0*h = -m*h for h.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 446570\/68799 + -331\/51. Let i = a - 55320\/14839. What is the common denominator of i and 18\/5?\nAnswer: 55","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(l) be the first derivative of -7*l**3 - 30 - l**3 - 22*l**3. Let j(v) = -13*v**2. Let q(n) = 27*j(n) - 4*s(n). Let a(m) = m. Determine a(q(t)).\nAnswer: 9*t**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8 = -2*f + 26. Differentiate -7*c + 18*c - f*c + 2 wrt c.\nAnswer: 2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: 8 - (376 + -381 - ((3 - 4) + -1))\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is -21407 times -7616?\nAnswer: 163035712","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 4200485*r**4 + 2471712 wrt r.\nAnswer: 16801940*r**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3643*v + 123596 = -1580*v - 2414*v + 726919 for v.\nAnswer: 79","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 40\/1437 and -145\/1176?\nAnswer: 563304","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Expand 0*i**3 - 2*i**3 + 3*i**3 + (-4 + 4 - i)*(0*i + 0*i + 3*i**2) + 4 - 4 - i**3 + 2*i - 2*i + 2*i**3 + 31*i - i**3 - 31*i.\nAnswer: -2*i**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) 3 (b) -1886 (c) 1\/3 (d) -4 (e) -3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 1 - -6 - (11 - 9)?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is -2 times 2143.9?\nAnswer: -4287.8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let t(l) = -22*l**2. Let c(h) = 2026*h**2. Give t(c(r)).\nAnswer: -90302872*r**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is 788258 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 5297 + -5297.03. Let v = 0.4 - 0.1. Which is the closest to v? (a) -2\/3 (b) u (c) -5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(c) = 5*c - 4. Let r(g) = 9*g - 8. Let q(l) = -7*b(l) + 4*r(l). Let p be q(3). Is p equal to -1?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (2*sqrt(3267)*1*2 + 2*sqrt(3267)*-2 + -1*sqrt(3267)*4 + 0)**2.\nAnswer: 52272","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Expand 2*a**2 + 2*a - 3*a**2 + 4*a**2 + (-2*a**2 + a**2 - a**2)*(-2 + 2 + 2) + a**2 - 3*a**2 + 4*a**2 + a - a + a**2.\nAnswer: 2*a**2 + 2*a","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(360) + 1*sqrt(360)*6 + 2*sqrt(360)*-2)\/(sqrt(24)\/(4*sqrt(588))*-4))**2.\nAnswer: 79380","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is -54227484 > -54227485?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 540 divided by -5?\nAnswer: -108","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((l\/((l*l\/(l*l**(-39)*l))\/l))\/(l*l*l**(30\/11)*l*l))\/((l*l\/l**(-2\/5))\/(l*l**45)) assuming l is positive.\nAnswer: l**(-7\/55)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let h(j) be the first derivative of j**6\/51 - j**4\/34 - 14. Factor h(c).\nAnswer: 2*c**3*(c - 1)*(c + 1)\/17","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 24969 and 2727102.\nAnswer: 609","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 606 to the power of 1\/2, to the nearest integer?\nAnswer: 25","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 1 + 1. Let v = -5 - -8. Let l = p - v. Which is the third smallest value? (a) l (b) -0.2 (c) -3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 136 minutes after 5:05 AM?\nAnswer: 7:21 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve 126*n - 550 - 2222 = 0 for n.\nAnswer: 22","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is -12 + 17 - 0 - -8?\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from ammammm. Give prob of picking 1 m and 2 a.\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Factor -y**5 - 7*y**4 - 6*y**3.\nAnswer: -y**3*(y + 1)*(y + 6)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of 762, 608, 458, 312, 170, 32, -102?\n\"Answer: 2*h**2 - 160*h + 920","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Work out -780 * -0.2.\nAnswer: 156","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let n(q) = -92 + 87 + 7*q**2 - 8*q - 6*q. Let z be n(-6). Let u = z + -217. Does 19 divide u?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 39 minutes before 5:33 AM?\nAnswer: 4:54 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let x(l) = -l**2 + 8*l + 5. Let r be x(7). Let k be (-4)\/(r\/(-87)) - -1. Let g be 5\/k - (-118)\/12. Solve 2*m = 7*m - g for m.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 727671?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is 24686737 a multiple of 19?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((h\/h**2)\/h*h**(-2\/7))**6)**7 assuming h is positive.\nAnswer: h**(-96)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Do 4 and -0.69 have different values?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is 212061561 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 188*h**3*i*z + 2*h**3*i - 4770*h**3*z + 39*h**2*i - 94*i*z - 247*z + 2 wrt h?\nAnswer: 1128*i*z + 12*i - 28620*z","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -21490*n - 67245*n - 25367*n + 17700*n - 57170*n.\nAnswer: -153572*n","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*t + 2*t = 20. Let u(p) = 3*p**3 - 11*p**2 - 7*p + 7. Let d be u(t). Which is the third biggest value? (a) d (b) 0.9 (c) 0.3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out -8 * 0.15.\nAnswer: -1.2","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -6 - (-33 + 19 - 34).\nAnswer: 42","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 51532*t**3 - 21337*t**3 - 30190*t**3.\nAnswer: 5*t**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve -9*s + 5 = 5*q - 5*s, 0 = -5*q + 3*s + 5 for q.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Does 52 divide 4866991294?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {m: 3, e: 4, l: 6, b: 1}. What is prob of picking 3 m?\nAnswer: 1\/364","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence iunx when four letters picked without replacement from ixiuiiaiaunnaia?\nAnswer: 1\/1365","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (k**(1\/9)*((k**(-1)*k*k)\/k*k*k)\/k)\/(k**(-6)\/k*k**4) assuming k is positive.\nAnswer: k**(37\/9)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -5*h**4*p**2 + 14*h**3*p**2 + 3*h**2*p - 37*h**2 + 2*h*p**2 wrt h?\nAnswer: -120*h*p**2 + 84*p**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 1\/10 of a litre in millilitres?\nAnswer: 100","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is -17 - (-50 + 38 + (2 - 2))?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 2*d - 71*d**2 - 23*d**2 + d**4 + 2 - 301*d**2 - 3*d**3 to m + n*d**4 + o*d**2 + h*d**3 + y*d and give o.\nAnswer: -395","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 4660119 and 17496?\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 4*(-23)\/(161\/(-6))*42*(-48)\/256?\nAnswer: -27","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -13 - -13. Let h(r) = t*r + 0*r - 4*r. Let b(o) = -2*o**2 + 2*o - 2*o. Calculate b(h(s)).\nAnswer: -32*s**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -22*c**3 + 0*c - 21*c**3 + 2*c + 0*c - 22 + 44*c**3 to f + d*c**3 + t*c + g*c**2 and give f.\nAnswer: -22","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Sort -4, -9\/10, -1, -0.4, 0.5.\nAnswer: -4, -1, -9\/10, -0.4, 0.5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 4 and 32.\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 8912?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 59\/207350 and 47\/897.\nAnswer: 14307150","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-58)\/29)\/((-4)\/(4\/(-2)))?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (i**0*i*i**(-2\/13))\/((i*i**6\/i*i)\/(i\/i**(-1\/5)*i)) assuming i is positive.\nAnswer: i**(-257\/65)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Round 385292760 to the nearest one million.\nAnswer: 385000000","meta":{"dup_signals":{},"source":"numbers__round_number_test"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 13509 and 3795003.\nAnswer: 171","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let n(o) = o**3 - 10*o**2 + 2*o - 16. Let a be n(10). Let t be (-7)\/(-2) + 2\/a. Solve 6*q + t = 4*q for q.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b be 2\/12 + 1\/2. Let g(y) = y**3 - 7*y**2 + 48*y - 336. Let n be g(7). Let j = -43\/20 - -12\/5. What is the third biggest value in b, n, j?\nAnswer: n","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 0.1 or 1984?\nAnswer: 1984","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (0\/(-4) - 4) + (-679 - -1). Let r = o - -994. Is r a multiple of 12?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 0.2 or -14?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 137\/123480 and -41\/246960.\nAnswer: 246960","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let u(h) = -49*h + 22. Let i(y) be the third derivative of 33*y**4\/8 - 22*y**3\/3 + 35*y**2. Let r(s) = 6*i(s) + 11*u(s). Differentiate r(c) wrt c.\nAnswer: 55","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in 5\/4, 1, 0.15, -0.3?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -24*z + 159*z + 68*z.\nAnswer: 203*z","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 24*h - 23171 + 23195 = 0. Is 4\/5881 <= h?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(c) = -c**2 - 5152*c + 36122. What is p(7)?\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is 936882 a multiple of 3?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Convert 1e (base 16) to base 10.\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -2 + 2. Let z be l - (-1)\/1*5. Suppose 0 = -z*q + 86 - 1. Does 12 divide q?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 56, -57, -4, 4, -5 in decreasing order.\nAnswer: 56, 4, -4, -5, -57","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -2.98 - 14.32. Let n = 18 + m. Let j = 12 - 12.2. What is the biggest value in n, 3, j?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.0645 - 2.7?\nAnswer: -2.6355","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 2264 - 1762. Calculate the remainder when x is divided by 102.\nAnswer: 94","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*a = -3*d + 2*a + 131, -2*d + 4*a = -64. Let f be (-10)\/55 + d\/(-11). Let g = 1 - f. Put g, 0.5, 0.3 in ascending order.\nAnswer: 0.3, 0.5, g","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -3 + 6. Suppose p = -0*m + 5*m - 17, 18 = x*m + 2*p. What is the units digit of m\/(-14) + 37\/7?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 2476122?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Express 87 - 43*w**3 - 24*w**3 + 69*w**3 + (2*w**2 + 2*w**3 - 2*w**2)*(5 + 3 - 6) + 0*w**3 - 2*w**3 + w**3 in the form c + d*w**3 + l*w**2 + b*w and give c.\nAnswer: 87","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 6*(sqrt(2448) + (1*sqrt(2448))**2)*-5 - (sqrt(34)\/(sqrt(16)\/sqrt(32))*1)**2.\nAnswer: -73508 - 360*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 4.460318l?\nAnswer: 4460.318","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let h(l) be the third derivative of -l**8\/112 + l**7\/30 + 31*l**5\/60 + 210*l**2. What is the third derivative of h(q) wrt q?\nAnswer: -180*q**2 + 168*q","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (48\/224)\/(3\/21).\nAnswer: 3\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (q**2 - 6*q**2 + 2*q**2)*(-41 - 77*q - 10*q - 38 + 95).\nAnswer: 261*q**3 - 48*q**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let k(g) = g**2 - 7 + 0*g - 3*g - 2*g. Suppose -4*w = -3*x - 5, -w + 1 = 2*x - 3*x. Calculate the smallest common multiple of x and k(7).\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -83\/2910 and 91\/4790?\nAnswer: 1393890","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Work out -38.114 - 0.2.\nAnswer: -38.314","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*k - 120 = -5*f, 5*k = -5*f + 110 + 35. Suppose 15*v - k = 10*v. What is the third derivative of 3*g**6 - 20*g**2 - 5*g**6 + v*g**2 wrt g?\nAnswer: -240*g**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from zzzfffzzzvfvvfvz. What is prob of sequence vv?\nAnswer: 1\/20","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of 34665, 69406, 104147, 138888, 173629?\n\"Answer: 34741*g - 76","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -1.5 + 1.7. Let j = 1 - 0. What is the biggest value in -1\/6, j, c?\nAnswer: j","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-60)\/(-117))\/((-1110)\/(-7215)).\nAnswer: 10\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((p**(3\/2)\/p*p**2\/p)\/(((p*p*p**(-2\/21))\/p)\/p**(4\/7)))\/((p*p*(p*p**0*p)\/p)**(-33)\/(p*p**(-3\/10)*p\/(p\/p**(-1\/2)))) assuming p is positive.\nAnswer: p**(3011\/30)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let c(z) = z - 4. Let w(k) = 5. Suppose -2*n + 2*i = 18, 2*i = -n + 2*n + 14. Let y(o) = n*c(o) - 5*w(o). Differentiate y(u) with respect to u.\nAnswer: -4","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(n) be the first derivative of -1\/12*n**4 - 6*n + 0*n**3 + 2 + 1\/2*n**2. Let c(y) be the first derivative of t(y). Factor c(x).\nAnswer: -(x - 1)*(x + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 22, 26, 34, 46, 62, 82, 106?\nAnswer: 134","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 2.086 + -0.086. What is the fourth biggest value in g, 2\/35, 5, -0.3?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 n, 1 x, and 1 k when three letters picked without replacement from xkkkkknkk?\nAnswer: 1\/12","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Does 0 = 314\/1173?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (3\/(-12)*-4)\/9. Which is smaller: t or -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 361?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -3338, -13351, -30042, -53411, -83458, -120183, -163586?\nAnswer: -213667","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:15 AM and 3:20 AM?\nAnswer: 185","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from ppopoopppppppp. Give prob of picking 1 o and 1 p.\nAnswer: 33\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: How many centimeters are there in three tenths of a kilometer?\nAnswer: 30000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 124080674*q**4 - 157*q**2 + 797554 wrt q.\nAnswer: 2977936176*q","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let k(x) = 7. Suppose -4*z + 3*n - 12 = -13, -1 = z - n. Let p(q) = -q + 32. Let a(y) = z*k(y) - p(y). Determine a(-3).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 1497328 and 1235864.\nAnswer: 1624","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7*p = -131*p + 20424. Solve -25*c + 27 = -p for c.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 66644 to the nearest integer?\nAnswer: 41","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let q(t) = 2*t + 1. Let u be q(1). Suppose 2*f + u*f = 105. What is the greatest common factor of f and 14?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1515604417 a multiple of 55?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in 0.5, 637, 8.4, 0.1, -0.4, -1\/4?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*c - 3*v - 37 = 0, -v + 0*v + 18 = -3*c. Let k(i) = -i**3 - 6*i**2 + 7*i. Let x be k(c). Factor -2\/3*y + 2\/3*y**2 + x.\nAnswer: 2*y*(y - 1)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (-58 + 72 - 64)*(2*c - 2 + 2)*(-c + c + 2*c) + 2*c**2 - 5*c**2 + c**2 as l*c + d + k*c**2 and give k.\nAnswer: -202","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*h - 2*d + 3 = 29, -5*d = 5*h + 35. Let z = 24.07 + -24. Let v = 0.03 + z. Which is the third biggest value? (a) 5 (b) h (c) v\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 415952890 a multiple of 185?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2820 = 755*s - 614*s for s.\nAnswer: -20","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is 37880290807 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*i - 87 = -99. Suppose -8*f - i*f + 2178 = 0. What is the hundreds digit of f?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -0.132 in 0.18, 3, -1\/5, -5, 3312?\nAnswer: -1\/5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*h - 2*h = -48. Let i(r) = 4*r + 12. Let u be i(-5). Let x be 2\/(u\/h) + 9. Is x < 5?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 6 + -12. Which is the closest to 1? (a) 2\/15 (b) 0.3 (c) x\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 1 + 2*g - 2 + 0*g + (0*g - g + 0*g)*(2 - 2 + 1).\nAnswer: g - 1","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 12 is divided by 5.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose v + 0 = -4*b - 2, 2*b - 4 = -3*v. Solve v*c - 6*c = -20 for c.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 6 and 18231330?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Round -4093000 to the nearest one hundred thousand.\nAnswer: -4100000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let l(b) be the third derivative of b**7\/3 - b**6\/24 - 784*b**5\/15 - 545*b**2 - 3*b. What is the third derivative of l(x) wrt x?\nAnswer: 1680*x - 30","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 56\/207 = -1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of 746, 1005, 1262, 1517, 1770, 2021?\n\"Answer: -w**2 + 262*w + 485","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 6445 and 776752689?\nAnswer: 1289","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is 8 a factor of 54563760?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is -25500 divided by 510?\nAnswer: -50","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is -94530.501 rounded to the nearest 10000?\nAnswer: -90000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) -5 (b) -1026 (c) -1\/3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let u(x) = 7*x**3 + 4*x**2 - 2*x - 4. Suppose 2*q - w = 2, 5*w = -5*q - 0*q - 25. Let t(o) = -o**2 - o. Let m(y) = q*u(y) - 2*t(y). Is m(-3) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*o = -8, -o + 75 = -3*l - 52. Let m = l - -66. What is the remainder when 68 is divided by m?\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred millions digit of 3840371410?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 1286, 2542, 3740, 4850, 5842?\nAnswer: 6686","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 1665321?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -3 + (1 + sqrt(17) + -1 + sqrt(17) + sqrt(17))**2 + -5 + (sqrt(51)\/sqrt(3))**2.\nAnswer: 162","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose f + o + 2 = 5, -3*f + 4*o + 30 = 0. Let k be ((-4)\/f + 0)*3*3. Sort -4, k, -2.\nAnswer: k, -4, -2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*l = -3*g - 4*l - 14, -g - l = 4 for g.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of -109, -219, -331, -445, -561, -679, -799?\n\"Answer: -y**2 - 107*y - 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the tenth root of 6552 to the nearest integer?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((2 + sqrt(468))*3*-5)**2 - ((sqrt(468) + 0 + sqrt(468) + -4)**2 + (0 + sqrt(468))**2 + 1).\nAnswer: 5496*sqrt(13) + 103843","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let g be -2 - (-7 + (-3 - -2)). Suppose 0 + g = -2*k. Let a = 4 + k. What is the units digit of a?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify n**(-4)\/n*n\/(n*n\/n**(-2))*n*n\/(n**4\/n)*n*n\/((n**(2\/9)*n)\/n)*n**6\/(n**(-1\/4)\/n)*n**(-3\/8)*n**(2\/11) assuming n is positive.\nAnswer: n**(-131\/792)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 18025*h**2 - 907 - 2*h**3 - 9016*h**2 - 9010*h**2 - 7618 + 502*h wrt h?\nAnswer: -6*h**2 - 2*h + 502","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from ayajhahahaajxyyhxxa. Give prob of picking 1 x, 1 h, and 1 y.\nAnswer: 12\/323","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let s(l) = -18*l**2. Let x(d) = -4*d**2 + 2*d**2 + 4*d**2. What is x(s(o))?\nAnswer: 648*o**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose o = -2*l - 0*l + 32, -3*o = 0. What is the least common multiple of 8 and l?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -9781 + 137015\/14. Calculate the common denominator of (-3)\/2*460\/(-1656) and k.\nAnswer: 84","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose d - 3*d = 0. Suppose -4*x + 3*x = d. Suppose m = 3*m - r - 12, -2*r + 8 = x. Solve 0 = 4*u - m*u + 16 for u.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((u\/(u**(-5\/7)*u))\/(u\/u**(3\/2))*(u*u\/(u*u*u*u**0*u)*u)**(-5))**15 assuming u is positive.\nAnswer: u**(1305\/14)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 111894598 to the nearest integer?\nAnswer: 482","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {h: 1, m: 2, j: 2, w: 1}. What is prob of sequence hmj?\nAnswer: 1\/30","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Does 63 divide 14877765?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 63*g = 71*g - 296. Is g a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 5810482 - -25278.\nAnswer: 5835760","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(80) + -3 - (sqrt(180) + 0 + sqrt(180)))**2*-3 - (-3 + sqrt(180) - sqrt(5) - (sqrt(25)\/sqrt(5) + 5)**2).\nAnswer: -954 - 139*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 2364 and 110.\nAnswer: 130020","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is 22098407 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -301.6 - -41.6. Let b = z - -262.31. Let f = 2.310123 - b. What is f rounded to five decimal places?\nAnswer: 0.00012","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(h) be the third derivative of 19*h**5\/60 + h**4\/24 + h**2. Let t = -11 + 23. Calculate the lowest common multiple of t and r(-1).\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -84441\/220 - -384. Calculate the common denominator of g and 53\/320.\nAnswer: 3520","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 96609 is divided by 24112.\nAnswer: 161","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in 347, -9, -3, 5, 0.5?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Round -69.584058 to the nearest integer.\nAnswer: -70","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve 29*r + 33 = 4 for r.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let f(q) = 5*q**2 + 4*q - 7. Let p(z) = -5*z**2 - 5*z + 8. Determine 5*f(t) + 4*p(t).\nAnswer: 5*t**2 - 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is (24\/28)\/(40\/35)?\nAnswer: 3\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.00004305 rounded to six dps?\nAnswer: -0.000043","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-454)\/(-12485))\/(26\/40 - (-1)\/(-4))?\nAnswer: 1\/11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(c) = -c**3 + 3*c**2 + c. Let v be b(-2). Is (-2)\/(-6) + 966\/v a multiple of 18?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -872 + 873.107. Let a = d + -0.107. Let y be (1*(1 + 1))\/(-3). What is the nearest to -0.2 in a, 5, y?\nAnswer: y","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0, -78, -3, -13, -4, -438 in ascending order.\nAnswer: -438, -78, -13, -4, -3, 0","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {o: 3, i: 3}. Give prob of picking 2 i.\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -10857 + 10879. Calculate the greatest common factor of 18 and y.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 241 + -88. What are the prime factors of j?\nAnswer: 3, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 4*j**2 + 0*j**2 - 5*j**2 + (j + 0 + 0)*(-2*j + 9*j + 3*j) + 0*j**2 + j**2 - 3*j**2 + 2*j**2 + 4*j**2 - 7*j**2.\nAnswer: 6*j**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in -0.54, -2\/5, -2, 2?\nAnswer: -0.54","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -5 - -7. Suppose -542*j + 230*j + 14664 = 0. What is the remainder when j is divided by -1*(t + -1*8)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in 4, 7, 5, -2\/3, -72?\nAnswer: -72","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -14494*n*r**6 + n*r**2 - 2*n*r - 2*r**6 - 212419*r**2 wrt r.\nAnswer: -1739280*n*r**3 - 240*r**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: -23 + -2 + 39 + -33\nAnswer: -19","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: 28.62 * 2\nAnswer: 57.24","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve -289*o - 284*o = -575*o + l - 7, l = o + 6 for o.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 756891585.\nAnswer: 3, 5, 311, 54083","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 564593?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Work out -61151 - -5788.\nAnswer: -55363","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let u(n) be the first derivative of 3*n**2\/2 + 11*n + 2. Let b be (-6 + 81\/9)*(2 - 4). Let r(a) = -a - 4. Determine b*u(v) - 17*r(v).\nAnswer: -v + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let u(r) = -74*r - 1063984. Let c(l) = -l. Give u(c(m)).\nAnswer: 74*m - 1063984","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 40200 + 1804*i**2 + 112*i**2 - 177*i**2 - 39591 wrt i?\nAnswer: 3478*i","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 76 is divided by 28?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 22 + -22. Suppose -f = f. Suppose w = 4*d - f*d. Solve -5*i - 2*v = -i - 8, d = -3*i + 2*v - 8 for i.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 302.4792ml to litres.\nAnswer: 0.3024792","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -4148604.4 - -0.3877.\nAnswer: -4148604.0123","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let j be 32\/(-44)*141\/(-564). Which is the biggest value? (a) j (b) 11 (c) 0.26 (d) -2 (e) 3\/2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1647*u + 29869 = 90193 + 48378 for u.\nAnswer: 66","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 14.127977 rounded to the nearest ten?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 26 + -46. Let o = 34 + x. Is o prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r be 19 - (4\/(2 - 1) - 1). Calculate the greatest common factor of r and 4.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(p) be the first derivative of p**5\/20 + 3*p**3\/2 - 4*p + 3. Let t(s) be the first derivative of m(s). Find the second derivative of t(z) wrt z.\nAnswer: 6*z","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 77 a factor of 3023131?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (5 + (2 + sqrt(48))**2 + sqrt(3))*-5 - (6*sqrt(108) + sqrt(27))\/(-6*sqrt(9)*-1).\nAnswer: -285 - 523*sqrt(3)\/6","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 477*a + 444 = -5757 for a.\nAnswer: -13","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence dd when two letters picked without replacement from {m: 2, q: 11, d: 2}?\nAnswer: 1\/105","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let j(t) = 38*t + 5556. What is j(-146)?\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let z(n) = n**3 + n**2 - 7*n + 14. Let i = 612 - 594. Calculate the smallest common multiple of z(6) and i.\nAnswer: 2016","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(z) = -z + 6. Let p(x) = 2*x - 7. Let i(a) = 3*p(a) + 4*s(a). Let o be -2 - (0 - 1)\/(-1). Let r = -1 + o. Calculate i(r).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is 1204204244 + -5?\nAnswer: 1204204235","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (-1)\/(-2) - (-27)\/18. Suppose -5*m + 26 = q*i + i, -10 = -3*i - m. Let a(s) = 30 - 30 - i*s. Let t(u) = 19*u. Calculate a(t(z)).\nAnswer: -38*z","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*g - 1 = 5*g. Let s = -91043\/133 + 16494\/19. Let j = s + -183. Which is the smallest value? (a) 0.3 (b) j (c) g\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 9375529 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let k(f) = 3*f. Let x(h) be the first derivative of -76*h**2 - 11 + 66*h**2 + 85 + 21. Calculate k(x(u)).\nAnswer: -60*u","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of -94710, -94796, -94938, -95136, -95390?\n\"Answer: -28*r**2 - 2*r - 94680","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_test"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 94494963 and 6?\nAnswer: 188989926","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Convert 78.23443ml to litres.\nAnswer: 0.07823443","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let r(n) = 2*n**2. Suppose -5 = 5*v - 10*v. Let a(j) = j + 5. Let m be a(-3). Let f(u) = 2*u**2 - u**m + 0*u**2. Determine v*f(g) - r(g).\nAnswer: -g**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -79\/52903250 and 43\/3625.\nAnswer: 52903250","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let y(z) = 5*z**2 + 311*z - 2345. Let s be y(-69). Let o(x) = -6*x. Let w(j) = j - 1. Let g(a) = 4*a - 3. Let b(r) = g(r) - 3*w(r). What is s*b(p) - o(p)?\nAnswer: 7*p","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is 6964217 + 5?\nAnswer: 6964222","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Put together -226213 and 0.\nAnswer: -226213","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve 17355*c = 17971*c + 9856 for c.\nAnswer: -16","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 46*b - 9 = 43*b. Calculate the common denominator of -1\/11 and ((-3)\/(-6)*-46)\/b.\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many centimeters are there in 0.0141791mm?\nAnswer: 0.00141791","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let f be ((15\/(-2))\/(-5))\/((-6)\/(-40)). Let t be (-3 + f)\/(-7) - -6. Solve -t*q + 1 - 6 = 0 for q.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -4 greater than 0.09?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from xbgbxtxbgtb. Give prob of picking 2 t, 1 g, and 1 x.\nAnswer: 1\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of -17, -183, -633, -1511, -2961?\n\"Answer: -24*k**3 + 2*k**2 - 4*k + 9","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*y - 3*y - 5*p + 26, -5*y = 2*p + 22. Let t be (-9)\/y*(-12)\/(-18). Let s(u) = -9*u + 7 - 2 - 1 + 2. Let m(c) = -c + 1. Calculate t*s(x) - 6*m(x).\nAnswer: -3*x","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let f(u) = u**2 + u - 3. Let l(n) = -2*n**2 - 5*n - 113. Calculate -5*f(x) - l(x).\nAnswer: -3*x**2 + 128","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -145864121*c**6 - 2*c**2 + 260297542*c + 2 wrt c.\nAnswer: -17503694520*c**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) 5 (b) -53 (c) 1\/13\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 5903344?\nAnswer: 2, 41, 8999","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let c(j) be the first derivative of j**4\/6 + j**2\/2 - 5*j + 2. Let h(u) be the first derivative of c(u). What is the units digit of h(2)?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 585 and 65.\nAnswer: 65","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Divide -41883 by 3.\nAnswer: -13961","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let s(t) = t. Let h(d) = -385*d + 130. Let g(k) = -6*k + 2. Let v(m) = -130*g(m) + 2*h(m). Calculate s(v(n)).\nAnswer: 10*n","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 12748?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is 4 + -1c14496?\nAnswer: -1c14492","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let a(y) = y**2 - 13*y + 13. Suppose 2*u + 5*t - 6 = 0, 0 = -8*u + 13*u - 3*t - 77. Let d be a(u). What is the highest common factor of 91 and d?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2*z - 35 - 2*z + 35 - 4*z.\nAnswer: -8*z","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let o(v) = -5*v + 122. Let m be o(25). Let q(k) = -24*k + 20. Is q(m) a multiple of 3?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -2064 or -2075?\nAnswer: -2075","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (6 - 6\/2) + 2. Let n(s) = 4 - 5*s - 1 - p. Determine n(-2).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 10116523 to the nearest integer?\nAnswer: 3181","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Does 24 divide 37270?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let x(d) be the first derivative of 33*d**2 - 24*d + 23*d**3 - 21\/4*d**4 + 11. Factor x(h).\nAnswer: -3*(h - 4)*(h + 1)*(7*h - 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(d) = -d. Let q(z) be the first derivative of -z**5\/10 + 8*z**3\/3 + 7. Let a(c) be the third derivative of q(c). Calculate -a(m) + 15*k(m).\nAnswer: -3*m","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (15 + 1 + 23 + 11)*(-45*m**4 - 4702 + 5*m**4 + 4698) to the form p*m + w + f*m**2 + n*m**3 + o*m**4 and give o.\nAnswer: -2000","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -7*w**3 - 10*w**3 + 17*w**3 - 13*w**5 - 12*w wrt w?\nAnswer: -260*w**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (((-2646)\/(-56))\/(-21))\/(3\/(-20)).\nAnswer: 15","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Find b, given that -4*b**3 - 1596*b**2 - 158400*b + 160000 = 0.\nAnswer: -200, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -3 - 1. Let o be 6\/y*4\/(-6). Suppose -n - 2*d + 7 = 2, -4*n + 4*d = 40. Which is the third biggest value? (a) n (b) o (c) -2\/5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -23 = 4*l - 5*k - 6, l - 17 = -3*k. Suppose -30 = l*u - 0*v + 3*v, u + v = -14. Let b = u + 24. Solve -j + 5*j - b = 0 for j.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -124 - -1211. Is u composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(s) = -2*s**2 + 10*s + 35. Let g(b) = -2*b**2 + 9*b + 29. Let w(v) = -6*g(v) + 5*k(v). Let r(p) = -1. Calculate -3*r(o) - w(o).\nAnswer: -2*o**2 + 4*o + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of 2277, 4548, 6819, 9090?\n\"Answer: 2271*a + 6","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from lvllyylrllylrlgm. Give prob of picking 2 y and 1 m.\nAnswer: 3\/560","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -22 - -47. Calculate the remainder when a is divided by 7.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 59*r - 1173126 = 2676270. List the prime factors of r.\nAnswer: 2, 3, 5437","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (3757\/26)\/(2\/4). What is the common denominator of (8\/(-14))\/2 - g\/42 and ((-62)\/(-48))\/(1\/9)?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 191 - 190. Let k(t) = -t**2 - a + t + 0*t - 2 - 4*t. Calculate k(-6).\nAnswer: -21","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -818406 less than -85.6?\nAnswer: 818320.4","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 8329897?\nAnswer: 131, 63587","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -86 - 404*z - 87 - 86 + 348 - 91.\nAnswer: -404*z - 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 2 + 1 - 5 + 25*d**4 - 23*d**4 + d + 10*d**2 to the form h*d**4 + g*d**3 + b*d + i*d**2 + o and give b.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (u**6*u**(4\/5))**(-1\/31) assuming u is positive.\nAnswer: u**(-34\/155)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 305994?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 536238598?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let i(w) = -2*w**2 - 10*w + 14. Let g be i(-6). Suppose 10 = x + 3*c, c = -7*x + 3*x + 29. Let o = x - 4. Put g, o, -5 in increasing order.\nAnswer: -5, g, o","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*b + 49 = -m, 474*m - 471*m = -12 for b.\nAnswer: -15","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 16 + -82\/5. Which is the third smallest value? (a) z (b) 0 (c) 0.03\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1484423 to the power of 1\/8, to the nearest integer?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 644 divided by 644?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is 6038013 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let u(d) = 2*d**2 - 19*d + 21. What is u(-3)?\nAnswer: 96","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (6 - 7) + -1 + -1?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -0.1 + 0.2. What is the closest to -0.1 in -2\/13, y, -1\/2?\nAnswer: -2\/13","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 93, 0, 5.\nAnswer: 0, 5, 93","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 3 d when three letters picked without replacement from {d: 7}.\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 a and 1 l when three letters picked without replacement from {l: 6, w: 1, x: 4, a: 4}.\nAnswer: 36\/455","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is -761660 - 0?\nAnswer: -761660","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Expand -144*p**4 + 5434*p - 5434*p + (3*p**3 + p**3 - 5*p**3)*(-3*p + 0*p + 2*p).\nAnswer: -143*p**4","meta":{"dup_signals":{},"source":"polynomials__expand_test"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 15675 and 150.\nAnswer: 75","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 172 + -168. Let d(f) = 2*f**2 - 3*f - 3. Let w be d(3). Solve 2*u + w = -s for u.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of 10, 96, 326, 772, 1506, 2600?\n\"Answer: 12*r**3 + 2*r - 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -2? (a) 2\/3 (b) 0.5 (c) -0.2 (d) -2\/3\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let q(z) = z**3 - 3*z**2 - 3*z - 1. Let l be q(4). Suppose -4 = l*x + x. Which is smaller: -6 or x?\nAnswer: -6","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((g\/g**(1\/4))\/g**3)\/(g**1)**31*(g**(2\/17)*g*g**(2\/7))**(16\/7) assuming g is positive.\nAnswer: g**(-100101\/3332)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: How many nanoseconds are there in 51.0935ms?\nAnswer: 51093500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.00004061 rounded to 6 decimal places?\nAnswer: 0.000041","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: 0.4 * -4929480\nAnswer: -1971792","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 281586 divided by 71?\nAnswer: 3966","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {j: 7, h: 2, b: 2}. Give prob of sequence bjh.\nAnswer: 14\/495","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -2 in -0.3, -1, 2\/11?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-1 + 3 - 1)*(-2*c + 2*c + 2*c)*(5*c + 0*c - 3*c) to l*c**2 + p + o*c and give l.\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-79 - 30*d + 79)*(1080 - 103 - 76 - 344).\nAnswer: -16710*d","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let p(z) = 4*z**2 - 9*z - 8. Suppose -4*q - 2 = 6. Let m(r) = 3*r**2 - 8*r - 7. Let v(x) = q*p(x) + 3*m(x). What are the prime factors of v(8)?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (h**(-1)\/((h\/(h**(-3)\/h)*h)\/h*h)*h*h\/(h**12\/h)*h*h*h**7*h)**6 assuming h is positive.\nAnswer: h**(-36)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -4 - -39. Suppose -46*u + b*u - 33 = 0. Put -5, 72, u in decreasing order.\nAnswer: 72, u, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 29*h**3 + 69*h**3 + 66*h**3.\nAnswer: 164*h**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 97 is divided by 48?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 19261 - 19261.1. What is the second smallest value in 8, u, 0.3, 3\/11, -1\/8?\nAnswer: u","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(k) = 1. Let v(r) be the first derivative of r**3\/3 - 8. Let b(p) = 2*g(p) + 3*v(p). Let f(s) = -4*s**2 - 9 - 10*s**2 + s**2. Calculate 9*b(j) + 2*f(j).\nAnswer: j**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: ((-2232)\/113274)\/((-12)\/(-14))\nAnswer: -2\/87","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 5644 a multiple of 4?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 0.4284 - 0.0284. Which is the nearest to -3\/22? (a) 4 (b) -2\/3 (c) w\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(f) = -f**3 - 42*f**2 - 41*f - 162. Calculate p(-41).\nAnswer: -162","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 19 + -17. Solve h = s*h for h.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 39.77 to the nearest ten.\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 1\/5 of a millennium in decades?\nAnswer: 20","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of -820720, -820725, -820730?\n\"Answer: -5*r - 820715","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 5*sqrt(704) - (sqrt(11) + 5*(sqrt(11) - (sqrt(176) - sqrt(11)))).\nAnswer: 49*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*u**2 + 1384*u + 1380 = 0.\nAnswer: -345, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve 360*p**2 + 151 + 36 - 468*p - 64*p**2 - 96*p**4 + 80*p**3 + 4*p**5 - 3 = 0 for p.\nAnswer: -2, 1, 23","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (-308)\/16 - -12*6\/(-96). Let a(f) = f**2 - 7*f - 4. Let p be a(7). Is v\/(-5) - 4\/p a multiple of 5?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(m) = -7*m + 3. Let v(f) = 162*f - 1946. Let q be v(12). Let d(i) = 7*i - 2. Calculate q*j(x) - 3*d(x).\nAnswer: -7*x","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let z be 402336\/924 - (-1 + -1 + (-10)\/(-7)). Calculate the greatest common divisor of 109 and z.\nAnswer: 109","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put together 0.019 and -11458090342.\nAnswer: -11458090341.981","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Sort 81, -0.3, -59770, -4 in decreasing order.\nAnswer: 81, -0.3, -4, -59770","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (a*a**(5\/2)*a)**(-8\/11)*(a*((a**(2\/33)*a)\/a*a)\/a)**(-23) assuming a is positive.\nAnswer: a**(-83\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Divide -1 by -103.\nAnswer: 1\/103","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((g\/(g*g\/g**(1\/2)))\/g)**(1\/31)\/((g\/g**(-9))\/g**(-6\/13)) assuming g is positive.\nAnswer: g**(-8471\/806)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 6.8264 in 0.034, -1\/3, 2.1?\nAnswer: 2.1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Put -140, -701, 15 in decreasing order.\nAnswer: 15, -140, -701","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -99*s + 93*s = -90. Find the second derivative of -3 - 63*n - 1 + 2*n**3 + s*n**4 + 188*n - 69*n - 60*n wrt n.\nAnswer: 180*n**2 + 12*n","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is 66240016 + 3?\nAnswer: 66240022","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let m(s) = -2*s + 10. Let c be m(5). Solve g - 2*g - 5 = -3*l, g + 5*l - 11 = c for g.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -7 + 10. Suppose 37*l - 769 = -621. Solve -5*y - l*i = 9, -2 + m = -i for y.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(171) - sqrt(171)*1*-6)\/(sqrt(9) - (sqrt(9) - sqrt(36)*3 - sqrt(9))) - (-1 + sqrt(475))*3*-3)**2*5.\nAnswer: -4140*sqrt(19) + 201425","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.5 - 253033.4?\nAnswer: -253032.9","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-1005)\/469)\/((-30)\/42)?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 122 + -23. Suppose 264 = 2*t + 9*w - 5*w, -2*w + 660 = 5*t. Calculate the highest common divisor of i and t.\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -8045, -7989, -7931, -7871, -7809, -7745?\nAnswer: -7679","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 162 divided by 11?\nAnswer: 162\/11","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 3767 + 260*f**2 - 11292 + 3761 + 3764 - 256*f**2.\nAnswer: 4*f**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 29*b - 6*b**2 + 3*b**2 + 2*b**2 + 4*b**2.\nAnswer: 3*b**2 + 29*b","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -5? (a) -5 (b) -1\/64 (c) 5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let w(i) = i**2 + 9*i + 10. Let o be w(-5). Let k(c) be the third derivative of -c**5\/60 - 5*c**4\/12 + c**3\/6 - c**2. What is the units digit of k(o)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 7150669?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 5*f + 4*p - 23, 7*p - 25 + 8 = -f for f.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let x(c) = -72*c**2. Let g(a) = -4140*a**2. What is 5*g(f) - 288*x(f)?\nAnswer: 36*f**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -1753 + 1746. Which is the third smallest value? (a) -4 (b) -65 (c) q\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify s\/((s\/s**39)\/s)*s*s**16\/s*(s*((s\/(s\/(s\/(s*s*s*s*s*s*s**(-15)*s))))\/s)\/s*s*s)\/s*(s*s*s\/(s**(-22)*s*s)*s)\/s assuming s is positive.\nAnswer: s**88","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.5 + -171.6?\nAnswer: -171.1","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 52 + -47. Suppose 0*x = 2*x - 6. Sort -3, y, x in descending order.\nAnswer: y, x, -3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 501 minutes after 2:55 AM?\nAnswer: 11:16 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -15 + 15 + 25*p**2 - p**3.\nAnswer: -p**3 + 25*p**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in 2\/13, 0.5, 95, -261, -2\/5?\nAnswer: -2\/5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -149, -153, -157, -161?\nAnswer: -165","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 24*x = -7 - 41 for x.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 69346351 to the nearest integer?\nAnswer: 8327","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:01 PM and 6:38 PM?\nAnswer: 97","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is d in -5*d**2 - 73280*d - 100355915 = 0?\nAnswer: -13127, -1529","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of 437, 869, 1291, 1703, 2105, 2497, 2879?\n\"Answer: -5*c**2 + 447*c - 5","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*j - r = 2*r - 13, -4*r = j - 10. Let f be ((-2)\/4)\/(j\/20). Suppose -4*w - 7 = d - 2*w, 0 = -2*d + 4*w + 26. Solve f = -c + d for c.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*d = o + 5, 4*d + 12 = o - 7 for d.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -485\/1673 - -1\/239. Which is the nearest to -202? (a) -3 (b) -2 (c) y\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 7127974 times -0.05?\nAnswer: -356398.7","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 1009728, 2019455, 3029182, 4038909, 5048636?\nAnswer: 6058363","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -3? (a) -44 (b) -1409 (c) 40 (d) -2\/3\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Work out -49068095 - 10361.\nAnswer: -49078456","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (-7)\/(-2 + 1) + -1. Suppose -c = -4*h + 3*h. Suppose 4*o + 2*f + h = 0, 2*f - 21 = 3*o + 2*o. Is o <= -1?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 5*v - p - 0*p - 8, -2*v = 4*p - 12. Are 7\/3 and v unequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in -42, -2\/37, 3, 0.11, -3?\nAnswer: -2\/37","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 2991 is divided by 15?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let w be 30\/(-8)*424\/(-159). What is the highest common factor of 95 and w?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*i - 3*v - 76 = 0, 3*i = 5*i + v - 48. Solve y + 11 - 3 = -t, 0 = -2*t - 4*y - i for t.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 1066 and 13202?\nAnswer: 171626","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 6525?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify n**(-10)\/((n*n\/n**(-17)*n*n)\/n) assuming n is positive.\nAnswer: n**(-30)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (2216*a - 40 + 170 - 2214*a)*(0*a - 5*a + 4*a) to the form i*a + p*a**2 + w and give p.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is -58823 (base 11) in base 7?\nAnswer: -502236","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 184*j + 10 = c + 170*j, -4*c - 5*j - 21 = 0 for c.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*i + 2 = -8. Suppose -2*x = -x + i. Let j(y) = y**3 + 3*y**2 + 2*y + 1. Let g be j(x). Which is the smallest value? (a) 2 (b) 3\/7 (c) g\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 296839 + -297167.726. Let a = j - -329. Round a to two dps.\nAnswer: 0.27","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of -564, -2219, -4962, -8793, -13712, -19719?\n\"Answer: -544*u**2 - 23*u + 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*w = 3*a + 2, w - 182177 = -4*a - 182172 for a.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (2\/5)\/((-3)\/(-15)). Suppose 4 = 2*h - c - z, 3*h = -3*c. Sort h, 31, -1 in ascending order.\nAnswer: -1, h, 31","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (6\/54*0)\/2. Let v be (-1)\/(-2) - 3\/(-2). Sort -2, v, r in ascending order.\nAnswer: -2, r, v","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 822 is divided by 139.\nAnswer: 127","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*u - 2*f - 10 = 0, -u + 3*f = -31 + 23 for u.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 575 and 10368675?\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 6 + -6. Let q = 3 - x. Solve w = q*w for w.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is eighteen fifths of a millennium in years?\nAnswer: 3600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (-24)\/(7*21\/98). Let l(d) = -2*d**2 - 3*d + 6. Let p be l(6). What is the tens digit of (p\/z)\/1*8?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_test"},"subset":"dm_maths"} +{"text":"Question: Expand (1 - 1 - 2*n**2)*(4*n - n - n).\nAnswer: -4*n**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 127286569 a multiple of 12?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let z be 2258\/(-2)*(-12)\/((-8)\/(-4)). Factor 76*a**2 + 6694*a - z*a - 4*a**2 - 28*a**3 + 4*a**4 + 32.\nAnswer: 4*(a - 2)**3*(a - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between 0.049 and 0.0161?\nAnswer: 0.0329","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Factor 3 - 13*f**2 - 3 - 5*f**5 - 15*f**4 + 33*f**2.\nAnswer: -5*f**2*(f - 1)*(f + 2)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Are 54102\/35 and 1547 unequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Convert -62ae (base 15) to base 10.\nAnswer: -20864","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is 110111111 - 10011011?\nAnswer: 100100100","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let s(c) be the first derivative of 2*c**2 + 16. Let m(l) = -4*l. Calculate s(m(w)).\nAnswer: -16*w","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let s(l) = -46*l - 1545. Calculate s(-9).\nAnswer: -1131","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(77)\/((sqrt(66)*1 + sqrt(66))\/sqrt(6)).\nAnswer: sqrt(7)\/2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: 89767 (base 10) to base 2\nAnswer: 10101111010100111","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 8748 is divided by 1748.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (-4 + 1 - -2)*-11. Let j be (-6 - -2)\/((-22)\/n). Suppose j*t = 3*t - 15. What is the greatest common divisor of 75 and t?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((q**(-3\/4)\/q*q)**26*q**(-10)*q**2)**(-7\/5) assuming q is positive.\nAnswer: q**(77\/2)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 30 and 152550.\nAnswer: 152550","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) -0.01 (b) -4\/3 (c) -4 (d) 1\/12 (e) 0.47 (f) -1 (g) 113\/3\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Express (-4 + 4 + o)*(0 - 1 + 4) + 1714*o + 1909*o - 3101*o as g*o + u and give g.\nAnswer: 525","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(65)\/sqrt(5))**2 + -4 - ((sqrt(117) + (sqrt(117) - sqrt(117)*3))**2 - sqrt(117)).\nAnswer: -108 + 3*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2*v**2 + 2*v**2 - 246*v**3 + 40*v**3.\nAnswer: -206*v**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 3205937 is divided by 22?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Put 60717, -4, -5, 4, -1 in decreasing order.\nAnswer: 60717, 4, -1, -4, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Put -49, 1, 0, 2 in descending order.\nAnswer: 2, 1, 0, -49","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Work out -100 * 0.38.\nAnswer: -38","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is -2 - -c1?\nAnswer: be","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 58*o**4 + 6039*o**2 + 846882 wrt o?\nAnswer: 232*o**3 + 12078*o","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -3571, -7023, -10479, -13945, -17427?\nAnswer: -20931","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let k(w) be the second derivative of -w**5\/240 + w**4\/24 - w**3\/8 - 91*w**2\/2 - 6*w - 3. Let p(f) be the first derivative of k(f). Factor p(n).\nAnswer: -(n - 3)*(n - 1)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(l) = l**3 - 2*l + 10 + l - 24 - l**2 + 13. Let j(a) = 7*a**3 + 2*a**2 + 9*a + 2. Let q(z) = -6*d(z) - 3*j(z). What is the second derivative of q(w) wrt w?\nAnswer: -162*w","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 2429 + -2426. Let q(b) = -2*b**2 - 3*b + 4. What is q(w)?\nAnswer: -23","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 2815359683?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 96 and 1482006.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let v be -1*5*(-6)\/3. Suppose -3*n = -5*n - v. Let j(m) = m**3 + 6*m**2 + m + 6. What is the remainder when 103 is divided by j(n)?\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i be 2\/8 - 69\/4. Let k(x) = -20*x**3 + 12*x**2 + 5*x + 14. Let l(j) = 8 + 4*j - 7*j**3 - 3 - 2*j + j**2 + 3*j**2. Let f(v) = i*l(v) + 6*k(v). Give f(3).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (y + 2 - 2)*(1654 + 223*y - 1654) - 5*y**2 + 2*y**2 + y**2.\nAnswer: 221*y**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let o(j) = -j - 6. Calculate o(-5).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 26*x + 51 = -131 for x.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let n(r) = -r**3 + 15*r**2 + 7*r + 803. Calculate n(18).\nAnswer: -43","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((k\/(k\/k**(1\/3)))\/k*k)**31\/(((k\/(k\/(k*(k\/((k\/(k**1*k))\/k))\/k)))\/k)\/k)**(-34))\/(k**5*k**(2\/7))**(-31) assuming k is positive.\nAnswer: k**(4372\/21)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) -24 (b) 2\/5 (c) 9\/4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Factor -a**3\/5 - 2859*a**2\/5 - 1714*a - 5712\/5.\nAnswer: -(a + 1)*(a + 2)*(a + 2856)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 28 - 16. Let j = -136 + 249. Let g = 170 - j. Calculate the remainder when g is divided by i.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 78 and 1326.\nAnswer: 78","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let o(z) = 7*z**2 + 4*z + 2. Let i be o(-1). Let b(g) = g**2 - g - 3. Let f be b(3). Suppose 0 = -f*p + 51 + 48. Solve 2*u = -i*h + 18, 4*u - 5*h + p = 9 for u.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 538 by -8.\nAnswer: -269\/4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Divide 5 by -3.\nAnswer: -5\/3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let t(b) = 17*b + 471. What is t(-10)?\nAnswer: 301","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 4547, 16418, 35577, 62030, 95783?\nAnswer: 136842","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Sort -9, -5, 1, -4, 58 in descending order.\nAnswer: 58, 1, -4, -5, -9","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Put 270, -0.5, -3\/4, -1\/5 in decreasing order.\nAnswer: 270, -1\/5, -0.5, -3\/4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 112 is divided by 20.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 12 and 20?\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 302 minutes after 9:30 AM?\nAnswer: 2:32 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let k(y) = 16*y**3 - 134*y**2 - 79*y + 56. Calculate k(9).\nAnswer: 155","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Product of -0.2569 and 2181.\nAnswer: -560.2989","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let w(o) = -o**3 + 6*o**2 - 2*o - 2. Let k be w(6). Let v(i) = 7*i - 102. Let p be v(12). Let f = k - p. Is f prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (q**(-3))**(1\/5) assuming q is positive.\nAnswer: q**(-3\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 446 - 473. Sort -1, s, 2, -2 in increasing order.\nAnswer: s, -2, -1, 2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 510 and 27.\nAnswer: 4590","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of 7, 6, 9, 16, 27?\n\"Answer: 2*r**2 - 7*r + 12","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1, -2, 297304, 2 in ascending order.\nAnswer: -2, 1, 2, 297304","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-3)\/24)\/((-3)\/(-20))*2?\nAnswer: -5\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((p**7*p)\/p)\/p)\/(p\/p**(-7\/4))*(p**(-9)*p)**(-1\/5) assuming p is positive.\nAnswer: p**(97\/20)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 2*f - 4*f + f - 8*f**3 - 399*f**4 - f + 398*f**4 + f**2 to w*f**2 + c*f**4 + j*f**3 + v + r*f and give w.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 0.073603985 - 0.07363. What is c rounded to 7 dps?\nAnswer: -0.000026","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(j) = j**3 - 7*j**2 - 8*j + 5. Let p be q(8). Suppose -p*m - 18 + 73 = 0. List the prime factors of m.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -5, -3, -9, 183 in decreasing order.\nAnswer: 183, -3, -5, -9","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let w be ((-6)\/(-3) + -3)*-5. Suppose 4*h - 3*f = -w*f - 658, -4*h - 4*f = 652. Let z = h + 266. What is the highest common divisor of 20 and z?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(k) = 3*k + 5. Let d(r) = 10*r + 15. Give 7*a(l) - 2*d(l).\nAnswer: l + 5","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Express -136717*c**3 + 1 + 2*c**4 + 6*c**2 + 2 + 136719*c**3 in the form o*c**4 + l + u*c + d*c**3 + s*c**2 and give o.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 342*c**4*i - 3*c**2 - 240*c*i + 2*c + 3*i wrt c?\nAnswer: 4104*c**2*i - 6","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -2167\/2 - -1085. Factor 0 + 3\/2*h**3 - q*h - 3\/4*h**4 + 3\/4*h**2.\nAnswer: -3*h*(h - 2)*(h - 1)*(h + 1)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 298 - 183. Suppose -i - t = -119. Solve 0 = 3*x + 5*q + 37, -i*x - 3*q = q + 36 for x.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -24 + 23.9. Which is the second smallest value? (a) 1\/5 (b) -322 (c) x\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(f) = 8*f. Let q(j) = 59870 - 59870 - 65*j. Suppose 2*d + 3*v = -0*v + 53, 5*d - 2*v = 123. Let i(y) = d*l(y) + 3*q(y). Calculate i(-1).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -15*l**2 + 15*l**2 - 5*l**2.\nAnswer: -5*l**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*r + 3*n - 1668 = -8*r, -2*r = -4*n - 1100. What is the units digit of r?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is a - -470?\nAnswer: 47a","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 2.877 - 2.95555. Round w to two decimal places.\nAnswer: -0.08","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose l = -4*m + 17, -22 = -5*l + m - 0*m. Let b(i) = 10*i + 3*i**2 - 10*i**2 - l*i**3 + 8*i**3. Let h(w) = 2*w**3 - 5*w**2 + 7*w. Give -5*b(v) + 7*h(v).\nAnswer: -v**3 - v","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -1.03 + 6.03. Let o = -3.3 + -0.7. What is the third smallest value in -0.2, o, d?\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from aabbaaaaab. What is prob of sequence aaba?\nAnswer: 1\/8","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: -20 - (11 - 38 - -23) - (-3 + -1) - 102\nAnswer: -114","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (1*((sqrt(9)\/(sqrt(27) + sqrt(3)) - (-4 + sqrt(18)\/sqrt(6))) + 4*(-4 + sqrt(18)\/sqrt(6) - 4*(sqrt(3) + 0 - sqrt(3) - sqrt(3)))))**2.\nAnswer: -462*sqrt(3) + 20091\/16","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 18*y + 332 = 22*y. What are the prime factors of y?\nAnswer: 83","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 158 a multiple of 4?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 610 minutes after 2:32 AM?\nAnswer: 12:42 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of (-7)\/1 - (-2 + 9\/6) and 25\/5186.\nAnswer: 5186","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 3273?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 541\/(-17) - 156\/884?\nAnswer: -32","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: 367742638+4761\nAnswer: 367747399","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) 0.4 (b) -200\/7 (c) -0.3 (d) 5\/6\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 2350 + 350. What is the tens digit of a?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -2423504 by 6.\nAnswer: -1211752\/3","meta":{"dup_signals":{},"source":"arithmetic__div_test"},"subset":"dm_maths"} +{"text":"Question: Let n = -16 - -79\/5. Is 1 less than or equal to n?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 2592688 to the power of 1\/5, to the nearest integer?\nAnswer: 19","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Simplify j**(1\/5)*j**(4\/3)*(j**4*j)\/j**(-14\/9) assuming j is positive.\nAnswer: j**(364\/45)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let w(q) = q + 9. Suppose 2*o - 24 - 103 = -5*d, -2*o - 73 = -3*d. Calculate the remainder when d is divided by w(0).\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*b = -3*n + 7641, 7*n - 7661 = 4*n - 2*b. Is n a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 342 and 657?\nAnswer: 24966","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 61013669?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -20 + 4. Let t = c + 18. Let f be (6\/15)\/(2 - 1). What is the nearest to -0.2 in f, -0.5, t?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 33 - -7. Does 8 divide b?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 703 minutes before 6:04 AM?\nAnswer: 6:21 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-6*f + 21 - 21)*(-5 - 2 + 5)*(5 - 4 - 3).\nAnswer: -24*f","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 2149703 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: b0d7 (base 15) to base 16\nAnswer: 91cf","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 248862 is divided by 123984?\nAnswer: 894","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let o be 8\/(-6)*-3 + -2. Suppose -o*h + 25 = 3*h. Suppose -9 = -3*w - 4*t + h, -3*w - 3*t = -12. Solve -w*n + 6*n = 0 for n.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-3)\/((-135)\/12)*53\/((-62010)\/225)?\nAnswer: -2\/39","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is -301 - -2?\nAnswer: -233","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -t = -4*n + 257, -45*t + 47*t + 254 = 4*n. What is the remainder when n is divided by 35?\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 60672 is divided by 20138?\nAnswer: 258","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -0.181 - 0.019. Which is the nearest to -2? (a) z (b) 0.4 (c) -3\/4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 179*k - 78*k - 1818 = 0. Calculate the least common multiple of 210 and k.\nAnswer: 630","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence hc when two letters picked without replacement from vchcvhvh.\nAnswer: 3\/28","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 126 and 162.\nAnswer: 1134","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {w: 2, s: 3, a: 1, q: 4}. Give prob of picking 1 s and 1 q.\nAnswer: 4\/15","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is 75853 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let c**3 + 29601*c**2 + 1891392*c + 30245888 = 0. Calculate c.\nAnswer: -29537, -32","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence crs when three letters picked without replacement from {v: 7, c: 1, r: 3, s: 7, f: 2}.\nAnswer: 7\/2280","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.01127 to 3 decimal places.\nAnswer: 0.011","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve -8199*w = -8198*w - 2*v - 14, 0 = -5*w - 5*v - 65 for w.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 21*o + 155 + 367 - 18 for o.\nAnswer: -24","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -3007 - -2973.26. What is f rounded to the nearest integer?\nAnswer: -34","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 8 and 125?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 24853.\nAnswer: 29, 857","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (-2)\/((-3)\/((-18)\/4)). Let c = 3.9 - -0.1. Let u = 18.5979 - 15.5979. Sort c, w, u, 0.3.\nAnswer: w, 0.3, u, c","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(y) = -2*y**3 - 37*y**2 - 135*y - 13. Give g(-5).\nAnswer: -13","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-5 + sqrt(2057) + sqrt(17))*1.\nAnswer: -5 + 12*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is -11 times 0.232?\nAnswer: -2.552","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Convert 7619.937um to kilometers.\nAnswer: 0.000007619937","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -5 + 0. Let w = q + 3. Let r = w - -7. Sort 1\/4, r, -1 in decreasing order.\nAnswer: r, 1\/4, -1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 39757473 to the power of 1\/3, to the nearest integer?\nAnswer: 341","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let l(d) = -2*d. Let s be -1*(-16)\/128*0\/(-1). Let z(n) be the first derivative of 20 + s*n - 13\/2*n**2. What is z(l(f))?\nAnswer: 26*f","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 37 - 0. Suppose w + d - 229 = 0. What is the units digit of (3*w\/27)\/(2\/3)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-492*f + 277*f - 5 + 1 + 299*f)*(2*f - f + f).\nAnswer: 168*f**2 - 8*f","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Sort -2, 3, 14, 0.4 in decreasing order.\nAnswer: 14, 3, 0.4, -2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is 210169 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let q be ((-224)\/6)\/((-80)\/3045000). Round q to the nearest one hundred thousand.\nAnswer: 1400000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 3199 and 279490689.\nAnswer: 457","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((t**32)**35)**50 assuming t is positive.\nAnswer: t**56000","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -154 + 139. What is the nearest to 1\/4 in a, -1, -4?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 6 a factor of 1794?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Simplify b**(-20)*b*b\/(b*b**(-8\/17))*b*(b**(-2\/25)*b)\/((b*b*b\/b**(-1\/25))\/b*b) assuming b is positive.\nAnswer: b**(-8351\/425)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 77 + -87 + (172\/(-6))\/(9167\/(-3204))?\nAnswer: 2\/103","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -169*x - 4*g - 48 = -173*x, -x - 96 = 8*g for x.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 182428075.\nAnswer: 5, 7297123","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let l(o) = o**2 - 1. Let v(n) = 7*n**2 + 2*n - 4. Let u be 20\/6 + 6\/(-18). Let r(q) = u*l(q) - v(q). Let g be 3*(-4)\/6 - -3. Calculate r(g).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 69 divided by -69.\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-10 - 16 + 13)*(t - 5*t + 2*t)*(8*t**3 - 6*t**3 + 3*t**4 + 5*t**3 + (t**2 + 0*t**2 + t**2)*(2*t**2 + 0*t**2 - t**2) + 0*t**4 + 3*t**4 - 2*t**4).\nAnswer: 156*t**5 + 182*t**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-5)\/80*-54 + -3.\nAnswer: 3\/8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Express 36*p - p - p**4 - p**3 + 54*p + (-3 + p**3 + 3)*(-p - p + 0*p) in the form q*p**4 + o*p**2 + h*p + k*p**3 + u and give h.\nAnswer: 89","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 181 minutes before 12:39 AM?\nAnswer: 9:38 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Put together 17629699746 and 4.\nAnswer: 17629699750","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -1451.67 - -1446.67. Let k be (24\/10)\/1 - 2. Which is the nearest to w? (a) k (b) 2 (c) 11\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((3 + (sqrt(76)*1 - sqrt(76)))*-2 + 1)**2.\nAnswer: 25","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*t - 79 - 163. Is t equal to 121?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -685*d + 224*d + 234*d - 3*d**3 + 227*d.\nAnswer: -3*d**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Determine g so that 6*g**5 + 1065*g**4 - 1614*g**3 - 528*g**2 + 1608*g - 537 = 0.\nAnswer: -179, -1, 1\/2, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 847.\nAnswer: 7, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0.2? (a) -386 (b) -5 (c) 74\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let i(y) = y**2 + 6*y + 2. Let f be i(-6). Suppose f*h = -r + 46, h + 4*r - 26 = 2*r. Let g = h + -1. Solve 5*k + 25 = 0, -5*x - k - g = -x for x.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 14 by 3.\nAnswer: 14\/3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is 131 a factor of 3398533?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -35 = -13*q + 30. Suppose -k + q = 3. Suppose -a = k*w - 3*w + 23, 4*w - 92 = -3*a. What is the units digit of w?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(n) be the third derivative of 7*n**6\/12 + 43*n**5\/30 - 93*n**2. Find the third derivative of x(d) wrt d.\nAnswer: 420","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m be 95374\/5 - (-25 - (-645)\/25). Calculate the highest common divisor of 11 and m.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify k*k\/(k\/k**3)*k\/(k\/((k*k**(3\/10))\/k))*k*k assuming k is positive.\nAnswer: k**(63\/10)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -5861\/780 - -239\/78. Calculate the common denominator of k and (-2)\/(-10)*(-174)\/8.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 41846019\/116644 - -4\/29161. Let o = n + -6959\/20. Let g = 936 - 4659\/5. What is the common denominator of o and g?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 36 (base 7) to base 16.\nAnswer: 1b","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Does 81 divide 1807?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is 0 + 62929?\nAnswer: 62929","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Express (-6639*x**2 - 46053 + 46053)*(-2 + 2 + 4 + 0 - 2 + 3 + (2 - 5 + 5)*(0 + 3 - 1) + 0 + 0 - 1) as h*x**2 + v*x + s and give s.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -2404 + 2406. Suppose -2*x + x + 4 = 0. Let d be 1*-1 + (x - 3). Which is smaller: d or z?\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__pair_composed_test"},"subset":"dm_maths"} +{"text":"Question: Let j = 4 + -4. Let l(f) = -f + 57 + 0*f - 3*f + 3*f. Calculate the remainder when l(j) is divided by 10.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -16308 + 11402. Let f = 4925.0128 + y. Let k = -19 + f. Round k to 3 decimal places.\nAnswer: 0.013","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 0*z + 2 + 3*z - 197*z**2 + z.\nAnswer: -197*z**2 + 4*z + 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 44 and 179234?\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 40 and 32?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Convert 898105.4cm to millimeters.\nAnswer: 8981054","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Expand (z + 2*z - z + (-29025*z + 137 + 6 + 29028*z)*(2 + 0 - 3))*(0 - 2 + 0).\nAnswer: 2*z + 286","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0, -4, -4738.\nAnswer: -4738, -4, 0","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Product of -0.1 and 18481.\nAnswer: -1848.1","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Convert -5aad (base 15) to base 16.\nAnswer: -4b58","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 1 in 4\/5, 0.3, -0.0264?\nAnswer: 4\/5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -v + 23 = 5*q, 16 - 47 = -5*v - 4*q. Are v and 3 nonequal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -78*o**5 + 139*o**5 + 121*o**5 + (13 - 13 + 14*o)*(-2*o**2 + 2*o**2 - o**4).\nAnswer: 168*o**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1397835086?\nAnswer: 2, 113, 151, 40961","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 1 - 0.95. Let m(y) = 4*y + 1. Let t be m(-1). Let p = -417162 + 417163. What is the third biggest value in p, t, -0.3, q?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(n) = n. Let d(p) = -p. Let k(y) = -20*y**2 + 2*y + 1. Let q(c) = -2*d(c) - k(c). Calculate q(m(o)).\nAnswer: 20*o**2 - 1","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Factor 25*h + 35*h**3 - 3872*h**2 + 1758*h**2 + 1934*h**2.\nAnswer: 5*h*(h - 5)*(7*h - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 69\/4930 and 101\/290?\nAnswer: 4930","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 5819?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 1107014546?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 x and 1 t when two letters picked without replacement from txtxtthtthth.\nAnswer: 7\/33","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 0.2 - 0.1. Let l = -12 - -12.83. Let p = -1.83 + l. Which is the smallest value? (a) p (b) h (c) -22\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-1 + 4 + 1)*(-40151 - 6743*x + 40151).\nAnswer: -26972*x","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 94 and 235.\nAnswer: 47","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 0*a**4 - a**4 - a**4 + (-7 + 8 - 13)*(-6 + 1 - 6)*(-3*a**4 + 7*a - 7*a) to j*a**2 + r + y*a**3 + k*a + c*a**4 and give c.\nAnswer: -398","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (122\/(-366))\/((-17)\/(-9) + -2).\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let v be ((9\/21)\/(-1))\/(-3). What is the smallest value in v, -0.4, 0.04?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Product of -2383 and 5.\nAnswer: -11915","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 80 and 38260?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let w(q) = 95*q + 600. Determine w(-6).\nAnswer: 30","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -1\/3? (a) 0.2 (b) -2\/45 (c) -3 (d) -2\/11\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 166 minutes after 8:34 AM?\nAnswer: 11:20 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -3 - -5. Suppose 0*h - 3*h - 4*g - 258 = 0, g = -5*h - 447. Let k be -3*(-2 + (-192)\/h). Is k < f?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(u) = -u**3 - u**2 - u - 1. Let h = 49 - 50. Let f(d) = 4*d**3 + 6*d**2 + 5*d - 33. Let l(q) = h*f(q) - 5*y(q). List the prime factors of l(0).\nAnswer: 2, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*k**4 + 0*k**4 - k**4)*(-1 + 1 + 1) + 17*k**2 + k**4 + 65*k - 65*k.\nAnswer: 2*k**4 + 17*k**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let a(w) = -7*w + 9. Let z(c) = -4*c + 5. Let j be 114\/(-4) + (-6)\/(-4). Let s = j - -16. Give s*z(n) + 6*a(n).\nAnswer: 2*n - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when (-2)\/3*(-35685)\/30 is divided by 57.\nAnswer: 52","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(w) = w**3 + 6*w**2 - w - 6. Let t be (3*2)\/(3\/(-3)). Let s be p(t). Suppose s*h + h = 0. Is 2 smaller than h?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:36 PM and 7:00 AM?\nAnswer: 624","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 u, 2 n, and 1 y when four letters picked without replacement from {s: 1, t: 1, u: 1, n: 2, e: 1, y: 1}?\nAnswer: 1\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let y(k) = 2 + 89*k - 5 - 93*k + k**2 + k**2. Let f be y(8). Let q = -65 + f. What is the greatest common divisor of q and 252?\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(j) = 4*j**2 + 3*j + 7. Let b(w) = -w. Let s(v) = 5*b(v) + d(v). What is the units digit of s(-10)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -1768*0.848.\nAnswer: -1499.264","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is 9815842 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Factor 45466347*n**2 + 46716*n + 12.\nAnswer: 3*(3893*n + 2)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 14, 17, 32, 65, 122, 209, 332, 497?\nAnswer: 710","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of -570, -563, -542, -501, -434, -335, -198, -17?\n\"Answer: z**3 + z**2 - 3*z - 569","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -29\/546 and 167\/798.\nAnswer: 10374","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -493957, -496054, -498167, -500302, -502465?\nAnswer: -504662","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Put 0.1, 1.6, 3 in decreasing order.\nAnswer: 3, 1.6, 0.1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 1711?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let b(z) = 9*z**3 - 1232*z**2 - 138*z + 246. Calculate b(137).\nAnswer: 109","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -17 - -16. Let u(z) = z**2 + z + 1. Let c(p) be the third derivative of -13*p**5\/60 + p**4\/24 + p**3\/6 + 2*p**2 + 1065*p. Calculate a*c(v) + u(v).\nAnswer: 14*v**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*c - 119 = -4*c. What is the highest common factor of c and 17?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -5*w**2 + 30*w - 24*w - 6*w.\nAnswer: -5*w**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Divide -261 by -32.\nAnswer: 261\/32","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Express (t**2 - 3*t**2 + 3*t**2 + (4*t**2 - 3*t**2 + 0*t**2)*(-6 - 1 + 4))*(4 - 3 - 2) as h + c*t + f*t**2 and give f.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -a = -4*m + 13 - 38, 4*a = 4*m + 64. Let b = -9 + a. Suppose b*y - 31 - 13 = 0. Calculate the least common multiple of y and 11.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: 464 (base 10) to base 5\nAnswer: 3324","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((b*b**(-4)*b)\/(b*b\/(b**4\/b)*b))**(-43) assuming b is positive.\nAnswer: b**86","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth root of 144811499 to the nearest integer?\nAnswer: 110","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:27 PM and 3:08 PM?\nAnswer: 41","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 8 and 1387316?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Put -10, -6, 0.5 in decreasing order.\nAnswer: 0.5, -6, -10","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let b(c) = -8*c**2 + 2*c + 4. Give b(3).\nAnswer: -62","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let m(n) be the second derivative of -n**4\/4 - 2*n**3 + 15*n**2\/2 - 10*n. Determine a so that m(a) = 0.\nAnswer: -5, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-7*g + 12*g - 7*g - 3)*(60 - 60 + 13*g + (-7 - 3 + 2)*(-g + 2*g + g)).\nAnswer: 6*g**2 + 9*g","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in 3, 7\/8, 0, 0.1?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is 27 a factor of 1246779?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is -18c2 (base 13) in base 8?\nAnswer: -7173","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -200*p + 218*p + 29509*p**2 - 18*p.\nAnswer: 29509*p**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 5\/24 of a day in hours?\nAnswer: 5","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 17 a factor of 241?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Divide 115 by 60694.\nAnswer: 115\/60694","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: 12421584 divided by 2070264\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from kkbkkbkkbhkbbkbkk. What is prob of sequence bh?\nAnswer: 3\/136","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (0*f**3 - f**3 + 2*f**3)*(677 - 215 + 122 + (1 - 5 + 5)*(0 - 3 + 1)) to the form n*f**2 + o + g*f**3 + r*f and give g.\nAnswer: 582","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 102 is divided by 20.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is 101 - 111001110101111?\nAnswer: -111001110101010","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1385705?\nAnswer: 5, 191, 1451","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let i(o) = 8982*o**3 - 4493*o**3 - 4486*o**3 + 2. Let d(n) be the second derivative of -n**5\/20 + n**2\/2 - 26*n. Determine -2*d(j) + i(j).\nAnswer: 5*j**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 10.2 + -8.11. Let t = 2 - v. Let y = -3.91 + t. Which is the second biggest value? (a) 1\/4 (b) -2\/7 (c) y\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -14\/55 and -115\/1144.\nAnswer: 5720","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Sort 4, 204, 3 in descending order.\nAnswer: 204, 4, 3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {z: 3}. Give prob of picking 2 z.\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let 5*q - q**2 + 3*q + 0*q = 0. Calculate q.\nAnswer: 0, 8","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 1 - u**2 + 18*u**4 - 1 - 1335*u - 1335*u + 2673*u to v*u**3 + k*u**2 + d*u + b + g*u**4 and give g.\nAnswer: 18","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let o(m) = 31*m + 50. Let h be o(-5). Calculate the remainder when (-9*7\/h)\/(1\/335) is divided by 12.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(r) be the third derivative of r**4\/6 + r**2. Let h(v) = -v**2 - 178*v + 178*v. Determine h(b(d)).\nAnswer: -16*d**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ynyp when four letters picked without replacement from pyrnnypppypyzznpr?\nAnswer: 9\/2380","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let w(r) = 2*r**2 - 2 - r**2 - 2*r**2 + 16. Let l(t) = -2*t**2 + 29. Let o(h) = -3*l(h) + 7*w(h). Let s be o(4). Sort s, 4, 3, 5.\nAnswer: s, 3, 4, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 14 = 4*d - 2*s, d + 0*d = 3*s - 9. Suppose -2*y = -d*y. Suppose -r + y*r = -7. List the prime factors of r.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 8\/(-6) + 10 + -9?\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-24*t**3 + 82*t**3 - 23*t**3)*(-26*t - 1660 + 1660) + (0 - t + 0)*(0*t**3 - 5*t**3 + 3*t**3).\nAnswer: -908*t**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 36 and 3502928?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let s(u) = -u**3 + 6*u**2 - 4*u - 5. Let p be s(5). Suppose 0*b - b - 37 = p. Find the common denominator of (-31)\/(-7) + 1 + 1 and b.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 100128 greater than 100126?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 560213743?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is (-2)\/17*16\/(-16)?\nAnswer: 2\/17","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -m + 5*z - 18 = 0, -4*m - m = -5*z + 10. Solve 5*n = m*n - 12 for n.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r be -1*(1 - 2) + 197. Let i be 3*14\/357 - (-6)\/((-204)\/(-166)). Suppose 2*o - 19 - 97 = -2*p, -r = -3*o + i*p. What is the units digit of o?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 3*j*s**2*t - j*s**2 + 2*j*t - 737*j + 248*s**2*t with respect to t.\nAnswer: 3*j*s**2 + 2*j + 248*s**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between 3437.1 and -576137034?\nAnswer: 576140471.1","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (((-6)\/(-27))\/(4 - 3))\/((-5)\/(-114)). Let y(g) be the first derivative of 12\/5*g + 16\/25*g**5 - p*g**3 + 14\/5*g**2 + g**4 + 14. Solve y(t) = 0.\nAnswer: -3, -1\/4, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 16 divide 2496?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 60214 + -24225. What is the hundreds digit of h?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 100001010100101 (base 2) to base 14.\nAnswer: 6309","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 3862, 14465, 31820, 55933, 86810?\nAnswer: 124457","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let u(w) = -20*w + 4. Suppose 2*m + 12 = 6*m. Let o be u(m). Let x = -33 - o. List the prime factors of x.\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(2) - sqrt(40)\/sqrt(5))**2 - sqrt(14)\/(sqrt(7)*-3).\nAnswer: sqrt(2)\/3 + 2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let w(m) = 6*m - 2*m - 3*m. Let a(u) = 3*u - 6834 + 6834. Give w(a(y)).\nAnswer: 3*y","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is 0 != -15\/896?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) -2\/3 (b) 3\/8 (c) -0.3 (d) -0.0042 (e) 25 (f) -57 (g) 4\/5\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 22 + (-24 - -6 - (5 + -16)).\nAnswer: 15","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is -3 + (9 - 3) - (6 - 9)?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 0.23514 - 0.03284. Let c = -25 - -25.2. Let j = c - k. What is j rounded to three dps?\nAnswer: -0.002","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 53.71 + -54. Let f = -9985.5999971 - -9985.31. Let v = f - c. Round v to six decimal places.\nAnswer: 0.000003","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 468144 and 8.\nAnswer: 468144","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: (-1740)\/(-8845)*(-4)\/24\nAnswer: -2\/61","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 12637038937 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 734560 divided by 146912.\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is 8 a factor of 1001?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is 71385439 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let d(j) = 3 + 3*j**2 - 2*j - 7*j**2 + 11*j**2. List the prime factors of d(3).\nAnswer: 2, 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (-25 + 7)*(-1)\/(-3). Is (2\/v)\/((-8)\/(-82872)*-3) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 918079 to the power of 1\/2, to the nearest integer?\nAnswer: 958","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -2 in -16, -0.01, -3\/17?\nAnswer: -3\/17","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -3 in -5, 966, 1?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is -283.987 rounded to the nearest ten?\nAnswer: -280","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 37948?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify y**(-6\/13)\/(y*y*y\/y**1) assuming y is positive.\nAnswer: y**(-32\/13)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 176256 is divided by 35?\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when (-9)\/495*10 + (5064\/22 - -4) is divided by 153?\nAnswer: 81","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -7854 - -7852. Sort -5, -3, h in ascending order.\nAnswer: -5, -3, h","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -10682, -5, -29 in increasing order.\nAnswer: -10682, -29, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 8 + (7 - 13) + 2 - 25?\nAnswer: -21","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: (-147)\/3*108\/1260*5\nAnswer: -21","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -113\/36 and -25\/56628.\nAnswer: 56628","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -552 divided by 92.\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Does 29 divide 25799858?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Convert 911747.7 millimeters to meters.\nAnswer: 911.7477","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let b(n) = -3*n**3 - 13*n**2 - 23*n - 60. Let z be b(-6). Solve -z = -98*w + 55*w for w.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0.1 in 0.4, -34, 0.08058?\nAnswer: 0.08058","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let s(f) = 2*f**2 + 2*f - 5. Let g(l) = -l**2 - 2*l - 2. Let z be g(-2). Let o be 5*(-3 - (z + -2)). Let k(t) = -3*t**2 - 2*t + 6. Give o*s(q) + 4*k(q).\nAnswer: -2*q**2 + 2*q - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 3 divided by 294.\nAnswer: 1\/98","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let j**4\/8 + 41*j**3\/4 + 1681*j**2\/8 = 0. Calculate j.\nAnswer: -41, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of -94962, -94934, -94906?\n\"Answer: 28*g - 94990","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 106 + -55. What are the prime factors of i?\nAnswer: 3, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 81330320 to the power of 1\/2, to the nearest integer?\nAnswer: 9018","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 64 + -40. What are the prime factors of l?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 62\/3 - 440\/21. Let z be ((-120)\/240)\/(2*(-1)\/(-4)). Sort u, 2, 1, z in descending order.\nAnswer: 2, 1, u, z","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(i) = i**3 + 7*i**2 + 2*i - 17. What is a(-7)?\nAnswer: -31","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 91058?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*r + 3*r = d, 2*d - 3*r + 5 = 0. Let g(n) = -n - 7. Let s be g(-7). Suppose 5*w + p = 5, -2*p = w - 10 - s. Solve 19 = -d*o + 4, -v - o - 5 = w for v.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(i) = 4*i**2 - 3*i + 1. Let c(y) = -2*y**2 + 2*y. Suppose 4*z + 31 = -0*x - 3*x, -3*x + 3*z = 3. What is x*c(j) - 2*f(j)?\nAnswer: 2*j**2 - 4*j - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Work out -9 + 102395227131.\nAnswer: 102395227122","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence if when two letters picked without replacement from {n: 6, i: 1, f: 3, v: 2, y: 1, q: 2}.\nAnswer: 1\/70","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Put together -73407281 and -2.\nAnswer: -73407283","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Determine k so that -5 - 18*k**2 - 6*k + 9 - 4*k**3 + 4 = 0.\nAnswer: -4, -1, 1\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 7 + -5. Suppose 3*a = -n + 3, -3*n = -8 - 1. Let q = 1 + a. Solve w*g - 1 = q for g.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.2794 to 2 decimal places.\nAnswer: 0.28","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -27*s = -25*s + 6. Let g = -123 - -356\/3. Which is greater: g or s?\nAnswer: s","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 14528?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -4.9 - 0.1. Let p be (-4)\/5*(-1)\/(-2). What is the closest to 0 in z, p, -1\/7?\nAnswer: -1\/7","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(m) = 9*m**2. Let t(h) = 67*h**2. What is x(t(w))?\nAnswer: 40401*w**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -4728*o**2 + 4727*o**2 + 3317*o - 3317*o.\nAnswer: -o**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2*k - 16*k**3 + 13*k**3 + 9*k**3.\nAnswer: 6*k**3 + 2*k","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let s(y) = -y**3 - 12*y**2 - 10*y + 11. Let u be s(-11). Solve u*n - 10 = -2*n for n.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -8447, -8363, -8223, -8027?\nAnswer: -7775","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from rtvtvttttrtvtrvttttt. Give prob of picking 2 t, 1 v, and 1 r.\nAnswer: 312\/1615","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let o(t) be the first derivative of t**7\/7 - 37*t**4\/24 + 5*t**2 + 36. Let s(l) be the second derivative of o(l). Find the second derivative of s(x) wrt x.\nAnswer: 360*x**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 4, 2, -9, -15, 7 in decreasing order.\nAnswer: 7, 4, 2, -9, -15","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -5 - (-3 - (-2 - 0 - -1)).\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is 40426a - 89?\nAnswer: 4041a1","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Round 1.975586 to 3 dps.\nAnswer: 1.976","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = v - 5*i - 3421, 5*v - i - 7230 = 10019. Calculate the greatest common factor of 119 and v.\nAnswer: 119","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let -35*c**3 + 132025*c**2 - 94760780*c + 13534560 = 0. Calculate c.\nAnswer: 1\/7, 964, 2808","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 116 is divided by 78.\nAnswer: 38","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is 31205 a multiple of 15?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 136532?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let d(l) = -2*l + 131. Let v(i) = 49*i - 2750. Let y(n) = 21*d(n) + v(n). Suppose 5*s + 7 = 3*t, s + 3*s = -4*t - 12. Let p be (-2 - t)*2 - -3. Determine y(p).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 246 minutes before 4:28 PM?\nAnswer: 12:22 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is 515632751 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 1449 and 17227.\nAnswer: 161","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Does 3118 divide 48606502?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let k(o) = -o**2 + 7*o + 2. Let q be k(5). Let f = 21 - q. Suppose 4*h = 231 + f. Does 12 divide h?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(b) = -b**3 + 10*b**2 + 25*b - 11. Let j be l(12). Is (-50175)\/(-525) + j + (-11)\/7 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -h + 16 = 4*p, 5*p - 3*h + 1 = 4. Solve 0 = p*t + 6, 5*s + 4*t = 5*t - 13 for s.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -108464.39 rounded to the nearest 100000?\nAnswer: -100000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 51 + -16. Let f = x + -7. Let g(v) = 15*v**2 - v + 1. Calculate the remainder when f is divided by g(1).\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -2326.6438 times -8?\nAnswer: 18613.1504","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 12946?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*z - 4*s + 12 = 0, -z + 4*s - 4 = s. Suppose -11*b + 15*b = y + 13488, z*y + 8 = 0. Is b composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(b) be the second derivative of b**5\/20 - b**4\/12 - b**3\/6 + b**2\/2 - 247*b. Let g(o) = 0*o + 2*o**2 + o + 3*o - 1. Calculate -g(w) - 2*r(w).\nAnswer: -2*w**3 - 2*w - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let k(y) = -2*y. Let u(b) = -b. Let v(q) = 3*k(q) - 4*u(q). Let z(x) be the second derivative of 2*x**4\/3 - x. Determine v(z(l)).\nAnswer: -16*l**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 1170\/858*6*(-8)\/(-48)?\nAnswer: 15\/11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 120*l**2*m**3 + 2*l**2*m**2 + 789*l*m**2 - 2*m**3 wrt m.\nAnswer: 720*l**2 - 12","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let l(s) be the third derivative of 223*s**2 + 1\/945*s**7 - 2\/135*s**6 + 11\/135*s**5 - 2\/9*s**4 + 1\/3*s**3 + 0 + 0*s. Factor l(d).\nAnswer: 2*(d - 3)**2*(d - 1)**2\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -98, 6\/11, 1\/2, 0.1 in increasing order.\nAnswer: -98, 0.1, 1\/2, 6\/11","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 0.36243 - 0.06243. Let t be (-6 - -4 - -4)\/6. What is the closest to t in r, -1, -3?\nAnswer: r","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(k) be the third derivative of 15*k**4\/8 + 37*k**3\/6 + 3*k**2. Differentiate y(l) wrt l.\nAnswer: 45","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 9, 7, -8325, 3, 30 in ascending order.\nAnswer: -8325, 3, 7, 9, 30","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1415196 is divided by 39305?\nAnswer: 216","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 707 minutes before 1:20 PM?\nAnswer: 1:33 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 761821 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 29.522772 months in years?\nAnswer: 2.460231","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 1d04b (base 16) in base 14?\nAnswer: 3145d","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Round -344124.2 to the nearest 1000.\nAnswer: -344000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -1046 - -3140\/3. Which is the second smallest value? (a) 0 (b) 3\/7 (c) s (d) 1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) -2\/117 (b) 2\/7 (c) -5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 661 minutes before 9:37 PM?\nAnswer: 10:36 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Express (46 + 30*k - 46)*(2 - 2 - k) as t*k**2 + z + o*k and give t.\nAnswer: -30","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let b(k) = -172*k**2. Let p(u) = 11*u**2. Determine p(b(n)).\nAnswer: 325424*n**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 449367 and 1?\nAnswer: 449367","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 1*(sqrt(847)*2*-3 - (-1 + 1 + sqrt(847) + sqrt(847)))**2.\nAnswer: 54208","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -2\/7? (a) 15 (b) 1226 (c) -555\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is 3006939 a multiple of 257?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Express 35170 + 5398*b**2 - 70338 + 35168 in the form t*b**2 + j*b + i and give t.\nAnswer: 5398","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let w(f) be the first derivative of -13*f**4\/2 + f**3\/3 + f**2 + f - 1. Calculate the remainder when w(-1) is divided by (-1*7)\/(-8*(-19)\/(-152)).\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -14 + (14 - 9) + 2 - -30?\nAnswer: 23","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let p(d) = 651*d**2. Let v(m) = 18924*m. Calculate p(v(i)).\nAnswer: 233134672176*i**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let z(l) = 11*l - 4. Let g be z(2). Suppose 0 = 4*u + 2*s - 4*s + g, 4*s = 12. Which is smaller: u or -1?\nAnswer: u","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is -5a - -b660?\nAnswer: b602","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let t(f) = -3*f + 1. Let w(v) = -20*v + 11. Let l = 20 - 23. Let c(z) = -7*z + 4. Let u(i) = l*w(i) + 8*c(i). Suppose 21 = 2*o + o. What is o*t(d) + 5*u(d)?\nAnswer: -d + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 42 and 128947.\nAnswer: 773682","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -r - 4208 - 2669 = -5*h, 5*h + 4*r = 6892. What is the tens digit of h?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 2076 and 1552156.\nAnswer: 692","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Work out 14 * -841.634.\nAnswer: -11782.876","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Expand 2*o**4 - 2*o**4 - 2*o**4 - 3*o**4 - o + o + 3*o**4 - 3*o**4 + o**4 + (2*o - 5*o + o)*(0 + 0 - 2*o**3) - o**4 + 2*o**4 + o**4.\nAnswer: 2*o**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -6654095, -6654100, -6654105?\nAnswer: -6654110","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Factor 3*q**2\/2 + 20151*q\/2 + 220935.\nAnswer: 3*(q + 22)*(q + 6695)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*x - 3 = 12. Suppose 5*c - x = 12. Suppose 14 = 4*l - c*l. What is the remainder when 26 is divided by l?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(k) = k**3 - 6*k**2 - 4*k - 23. Let o be j(7). Let l be 8 + 4\/8*(-2 - o). Suppose 0*f = -l*f + 64. Calculate the highest common divisor of f and 88.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0.1 in -3\/2, -21, -0.4, 79, 0.2?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the seventh root of 149522 to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -9 - -12. Suppose -85 = -o*s + 110. Let m(b) = -b**3 + 2*b - 4. What is the remainder when s is divided by m(-3)?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 238 minutes before 7:21 PM?\nAnswer: 3:23 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: (13718\/240065)\/(((-4)\/2)\/20)\nAnswer: -4\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 4 a factor of 21?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3 = -5*l + 2*l. Let j(w) = w**3 - w**2 - w. Let s be j(l). Let x be 7 - 2*s*-1. Solve 1 - x = -4*a for a.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 56 and 28.\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*r - 18 = 2. Suppose -3*n + r*j - 4 = -43, 0 = -2*n + 3*j + 27. Solve -2*v = -2*w - n, 0 = -3*v - 7*w + 4*w + 3 for v.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 5*c + 20, 8*n - 4*n - 4*c = 0 for n.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 418 and 6061.\nAnswer: 209","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 0.74 + 0.26. Is w equal to 0.9?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 4 + -6. Let k(r) = r**2 + 3*r + 4. Let i be k(-4). Is p*(-2)\/(i\/42) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 325474845 to the power of 1\/2, to the nearest integer?\nAnswer: 18041","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3*a + 0*a - a)*(-140*a**2 - 178*a**2 - 77*a**2)*((1 - 1 + 2*a)*(1 - 1 + 2) - 6*a + 3*a + 2*a).\nAnswer: -2370*a**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Sort -2, 3, 416, -0.4 in ascending order.\nAnswer: -2, -0.4, 3, 416","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let z(y) = 5*y**2 + 12*y + 1. Let s be z(-4). Solve -3*d + 11 = 4*q, -s = -5*d + 2*q - 6 for d.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 5 - 0. Suppose -234 + 121 = 4*b - 121. Sort -1, -3, b, d in ascending order.\nAnswer: -3, -1, b, d","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 12432?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 6608 and 6254.\nAnswer: 118","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify v**(-1)*v\/(v*v*v*v**(-6)*v)*(v**(1\/5)\/v)\/(v*v\/v**2) assuming v is positive.\nAnswer: v**(6\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence iih when three letters picked without replacement from {h: 1, a: 1, i: 2, y: 1}?\nAnswer: 1\/30","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Add 220641 and 28613.4.\nAnswer: 249254.4","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: 26 + -11 + -2 - 15\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -237.7 + 238. What is the closest to k in -4, 0.3, 6?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(f) = f + 19. Let u be t(-17). Suppose -u*c + 0*c = -76. What are the prime factors of c?\nAnswer: 2, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 1.84 - -0.16. Do -0.01 and u have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -9826*k**2 - 114*k*m**2 + 267*m**2 + 103 wrt k?\nAnswer: -19652*k - 114*m**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let k(m) be the second derivative of m**4\/12 - 7*m**3\/6 + 5*m**2 - 3*m + 5. Let k(p) = 0. What is p?\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 8*r**2 - 6*r**6 - 4*r**2 + 8*r**2 wrt r.\nAnswer: -720*r**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -9080 divided by 9080?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*w - 4 = -5*k, 2*w - 3*w = k + 1. Suppose 24 = 5*c - c. Let a = -4 + c. Solve a*r = -0 - k for r.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -t - 2*w = -37, 3*w = 7*w - 4. Suppose 4*v - v - 4*s = t, -2*s + 28 = 2*v. Calculate the remainder when v is divided by 8.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (i**20*i*i\/i**(-16))\/(i**(1\/11)\/((i*(i*(i*i*((i*i*i**(12\/5)\/i)\/i)\/i)\/i)\/i)\/i)) assuming i is positive.\nAnswer: i**(2217\/55)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 3822 divided by 42?\nAnswer: 91","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*r + 4*q + 12, q = 3*r + r - 13. Suppose d + 0 = r. Which is greater: d or 12\/13?\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 7 by 48534861.\nAnswer: 7\/48534861","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 212885 and 35?\nAnswer: 1490195","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -9885669\/130 - -76044. Calculate the common denominator of p and (12 - 1 - ((-340956)\/(-1365))\/22) + 1.\nAnswer: 130","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*j + c + 3076 = 0, j - 5*c - 4645 = -3895. List the prime factors of j.\nAnswer: 2, 5, 7, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Are 198411\/31 and 6401 nonequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8*j - 17 = -1. Let k(c) = -c**3 + 3*c**2 + 4*c + 6. Let a be k(j). Suppose -2*v = -4*u - a, 2*u + 2*u = -5*v + 17. Is u < -15\/11?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (3 - 3 + h)*(-3*h + 3*h + 2*h) - 2876*h - 79*h**2 + 2876*h to the form x*h**2 + o + f*h and give x.\nAnswer: -77","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 1543, 5795, 12941, 23029, 36107, 52223?\nAnswer: 71425","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let b(p) = -p**2 - 7*p + 3. Let s be b(-7). Calculate the common denominator of -42 and 168\/(-44) + s - -1.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -1748111, -3496037, -5243963, -6991889, -8739815?\nAnswer: -10487741","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let t(o) = o**2 + 7*o - 3. Let f be t(-8). Let w(c) = -c**2 - 6*c - 3. Let k be w(-5). Solve 3 + k = -f*b for b.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s be -3*4*(-12)\/8. Suppose -a + s = -0*a. Suppose 0 = 7*t - 3*t. Solve 0 = -4*w - 5*c - a, 8 = -5*w + c - t for w.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 4 in 1, 32526, 2\/11?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 3 + 10. Calculate the lowest common multiple of p and 12\/9 - 182\/(-39).\nAnswer: 78","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 2 + sqrt(288) + -1*sqrt(288) + sqrt(2).\nAnswer: sqrt(2) + 2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -6 - 2 + 5 - 2*t + (-t + 5*t - 3*t)*(12 + 119 - 53) to the form w + x*t and give x.\nAnswer: 76","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -1235, -1565, -1903, -2249, -2603, -2965?\nAnswer: -3335","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -4 - -8. Suppose x - 90 = -g*x. Suppose -4*k = 12 - 68. What is the lowest common multiple of k and x?\nAnswer: 126","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(p) = 24*p**3 - 8*p**2 + 8*p + 8. Let f be (2 - 5)*(1 - 0)*1. Let d(n) = -8*n**3 + 3*n**2 - 3*n - 3. Determine f*y(q) - 8*d(q).\nAnswer: -8*q**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let h(v) = -v**3 - 4*v**2 + v. Let x be h(-4). Let g = -57 - -229\/4. Find the common denominator of (121\/x)\/(20\/(-8)) and g.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -77 + 74. Let y be 0\/4 + k - 4. Let t(p) = -p**2 - 5*p + 9. Determine t(y).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -113*i - 75*i - 14 + 475*i + 13*i**2 - 14*i**2.\nAnswer: -i**2 + 287*i - 14","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -23.981 + -0.019. Let p = 240.8 - 264.42. Let k = d - p. What is k rounded to one dp?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(v) = -48*v**2 + 39. Let w = -92 + 93. Let j(p) = -2*p**2 + 1. Let g(z) = w*u(z) - 2*j(z). Differentiate g(l) wrt l.\nAnswer: -88*l","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is 6 - 20104442?\nAnswer: -20104434","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 157\/2646 and 17\/42?\nAnswer: 2646","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -5*((-27)\/(-45) - -6 - 9).\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.002150607 rounded to five decimal places?\nAnswer: -0.00215","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Factor -3*v**2\/8 + 1821*v\/8 + 2295\/2.\nAnswer: -3*(v - 612)*(v + 5)\/8","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*r - 4*r = -8. Let d(m) = 6 - 11*m + 0*m**2 + 3*m**2 - 5*m**r + 3*m**2. What is the units digit of d(11)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -4, 17, 17880 in decreasing order.\nAnswer: 17880, 17, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ee when two letters picked without replacement from neneneieeinfi?\nAnswer: 5\/39","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve 23*m + 165*m = 1772 - 1396 for m.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*z = 2 - 4. Suppose 2*b - 6 = -4*s, 2*s + 4*b - z = 5*s. What is the units digit of s?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(z) = 660*z + 73415. Calculate f(-111).\nAnswer: 155","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {k: 1, z: 10, w: 3, a: 2}. Give prob of picking 1 w, 1 z, and 2 a.\nAnswer: 3\/182","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is 13 - -4582885?\nAnswer: 4583008","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 100 and 17125?\nAnswer: 68500","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 2128?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let l(b) = -5*b**3 + 8*b**2 - 23. Let w(m) = 2*m**3 - 3*m**2 + 8. Let i(t) = -3*l(t) - 8*w(t). What is the derivative of i(n) wrt n?\nAnswer: -3*n**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*d + 4*f = 2*f - 1502, 599 = 2*d + f. Let a = d + -5. Is a a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 4160*n**4 - 61*n + 6 wrt n.\nAnswer: 49920*n**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -72*j + 54*j + 66834 = 0. Is 7 a factor of j?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -13*y + 15*y + 4*a - 12 = 0, -y - 3*a + 7 = 0 for y.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 14 - ((-26 - -21) + 31) - ((4 - 46) + -4).\nAnswer: 34","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -7 - -4. Let t be (-6)\/(-27) - (-172)\/684. Let p = t - 43\/171. What is the second smallest value in p, 2, o?\nAnswer: p","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many hours are there in seven halves of a week?\nAnswer: 588","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:23 AM and 12:34 PM?\nAnswer: 191","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 14312 is divided by 1590?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*b = 3*p - 19, -b = -3*p - p - 4. What is the highest common factor of b and 16?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5 = -h - 5*q, 2*h + 12 = 4*q + 2. Let l(y) be the second derivative of y**4\/12 + 5*y**3\/6 - 3*y**2\/2 - 12*y + 1. What is l(h)?\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:06 AM and 1:03 PM?\nAnswer: 117","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -872\/735 + -2\/147. Let u be (-3 - (-24)\/4) + (-2)\/1. Let b = 2\/61 - 71\/305. What is the smallest value in j, u, b?\nAnswer: j","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1559 to the power of 1\/4, to the nearest integer?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (f**(-23\/2)\/f)**(-5\/6)*(f\/(f**16*f))\/f**6 assuming f is positive.\nAnswer: f**(-139\/12)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is 154604819 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 195988735 to the nearest integer?\nAnswer: 14000","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -1? (a) 4 (b) 2\/3 (c) 0 (d) 0.758 (e) -4\/3 (f) 1420\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*q = -4, 0*x + 2*q = x - 72. Suppose -3*c + 118 = -x. Suppose 8 = 2*a + l - 17, 0 = 5*a + 3*l - c. What are the prime factors of a?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 13 in 1, 3, -1\/2, 1\/57, 7?\nAnswer: 7","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let q(v) = v - 7. Give q(7).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is 3757777 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in -12.6, 1\/9, -9, -24\/17, 2\/5, -1\/2?\nAnswer: -9","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 81*q + 1 = 76*q + 3*x, 7*x + 11 = 5*q for q.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 10.5 times -2271894?\nAnswer: -23854887","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (n**(-9\/7)\/((n*n\/(n\/n**(-12))*n)\/n))\/(n\/(n\/n**(3\/5))*n*n**(-7\/5)\/n*n) assuming n is positive.\nAnswer: n**(333\/35)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is 5\/(40\/(-12)) - 56229\/(-2) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.003667 to 4 dps.\nAnswer: 0.0037","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-4 + sqrt(1584)*-2)*-2.\nAnswer: 8 + 48*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let z(a) be the third derivative of -a**4\/24 - a**3\/2 - a**2. Let h be z(-3). Let v(n) = 2*n - 599 - 3*n - 596 - 604 + 1792. What is v(h)?\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -579 + 2089 = 36*y + 115*y for y.\nAnswer: 10","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 16*i - 17 = -1. Let j = 84 - 61. Let q = 20 - j. Let d(v) = -v**3 + v**2 + 1. Let c(w) = -5*w**3 + 4*w**2 - 2*w + 3. Calculate i*c(n) + q*d(n).\nAnswer: -2*n**3 + n**2 - 2*n","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Express -110*n + 12*n**2 + 6*n**2 - 17*n**2 + 0*n**2 in the form s*n + f*n**2 + i and give i.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Product of -0.519313 and -8.\nAnswer: 4.154504","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 u when two letters picked without replacement from {b: 1, g: 2, h: 6, u: 2}.\nAnswer: 1\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 86*u - 171 = 84*u + s, -5*u + 455 = 3*s. Calculate the greatest common divisor of 8 and u.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is -5124 - 0?\nAnswer: -5124","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 27.3814716429 plus 45?\nAnswer: 72.3814716429","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let g(a) be the second derivative of -9*a**5\/50 - 773*a**4\/5 - 6172*a**3\/15 - 2056*a**2\/5 - 7117*a. Solve g(j) = 0.\nAnswer: -514, -2\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -52*j + 27*j + 784 = 31*j for j.\nAnswer: 14","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 536, 487, 408, 299, 160, -9, -208?\nAnswer: -437","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 2 + 0\/(-4 - 0) + 1355 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*s + 12 = -12. Let o(l) = l**2 + 5*l - 3. Let x be o(s). What is the greatest common divisor of x and 21?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*v + 4*u = 22, -2*v - 1518 = u - 1511 for v.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 b and 1 m when two letters picked without replacement from fmmxbmq.\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3342*z + 1446*z + 608000 = 2523*z - 5335*z for z.\nAnswer: -80","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -7417, -7456, -7521, -7612?\nAnswer: -7729","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve -6822*j + 6936*j + 3894 = -666 for j.\nAnswer: -40","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*t + 3*n + 382 = 755 - 389, t - 7 = n for t.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 34*i*l**3 - 12*i*l**2 - 2*i*l + 58*i + 3*l**3 + 2*l wrt l.\nAnswer: 204*i*l - 24*i + 18*l","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 124 and 31.\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 266 minutes before 10:04 AM?\nAnswer: 5:38 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 68 = n + 19. Calculate the remainder when 144 is divided by n.\nAnswer: 46","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 100660759 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -4082\/35 - -1606\/7. Suppose -3779 = -10*k + 71*k + 3114. Let u = a + k. What is the second smallest value in u, -3\/7, 4?\nAnswer: u","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (-1)\/(-2) - (-524)\/8. What is the greatest common factor of 6 and c?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(k) be the third derivative of -k**8\/168 - 4*k**7\/15 + 47*k**6\/30 + 14*k**5\/15 - 31*k**4\/4 - 173*k**2. Determine n, given that i(n) = 0.\nAnswer: -31, -1, 0, 1, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 128715493 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:25 AM and 5:37 PM?\nAnswer: 432","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let v(r) = -r**3 + 77*r**2 + 739*r + 4. Calculate v(-10).\nAnswer: 1314","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let y(g) = 28*g**2 - 532*g + 2575. What is y(11)?\nAnswer: 111","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -791 - -505. Let a = j + 285. Let m = -1861\/13 - -143. Sort 5, a, m, -5 in increasing order.\nAnswer: -5, a, m, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many centuries are there in 28364.904 months?\nAnswer: 23.63742","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let j be 15\/(0 + 1)*-97. Let b(n) = 785*n**2 + 4*n + 4. Let a be b(-1). Let o = a + j. Round o to the nearest one hundred.\nAnswer: -700","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) -0.5 (b) 11 (c) -333 (d) 0 (e) -3\/2\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -119352, -238709, -358092, -477495, -596912?\nAnswer: -716337","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve -7*s - 58 + 51 = 0 for s.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 1096 and 98154472.\nAnswer: 1096","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Expand -8*u**5 - u**5 + u**2 + 2*u**2 + (u - u - u)*(u - 2*u**4 - u).\nAnswer: -7*u**5 + 3*u**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((o*(o**(-4\/7)*o)\/o)\/(o*o**6*o*o*o))**(-2\/113)*(o**(-4)\/(o**(1\/3)*o))\/(o\/(o\/(o**(-2\/17)*o))*o**3*o) assuming o is positive.\nAnswer: o**(-405277\/40341)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0\/2 - ((-24)\/28)\/((-24)\/112).\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is -16 + -103261?\nAnswer: -103277","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Express -19*b**3 + 0*b - 24 + 0*b + 21*b**3 in the form c*b**2 + m*b**3 + p*b + u and give m.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let b(p) = p**2 - 345*p + 28627. What is b(139)?\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -3212 + 3214. Solve -183 = j*h - 179 for h.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 99 is divided by 6.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is 164 a factor of 17921264?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*k - 5*w = -31571 + 4251, k + w - 13663 = 0. What is the ten thousands digit of k?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is j in -3\/5*j**2 + 165 - 42\/5*j = 0?\nAnswer: -25, 11","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: -1*((-24)\/(-5))\/8\nAnswer: -3\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*c = -35*c. Let p(h) be the third derivative of 7\/30*h**5 + c*h + 0 - 3*h**2 + 0*h**3 - 1\/40*h**6 + 0*h**4. What is the third derivative of p(n) wrt n?\nAnswer: -18","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from uhuhhrhhrhuhhuur. Give prob of picking 3 u.\nAnswer: 1\/56","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: How many months are there in one twentieth of a millennium?\nAnswer: 600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 8 a factor of 361?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (v\/v**(1\/3))**(-35) assuming v is positive.\nAnswer: v**(-70\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 21.975 + -22. Let i = g - -0.0250155. Round i to 6 dps.\nAnswer: 0.000016","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 2010180620 a multiple of 133?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 3292656?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let p(i) = 2. Let o(n) = -n - 11. Suppose 2*z + 4*g = 20, -4*g + 6 = -4*z - 2. Let x(u) = z*o(u) + 11*p(u). Let l(f) = -3*f**2. Determine x(l(s)).\nAnswer: 6*s**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:37 AM and 8:01 AM?\nAnswer: 324","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -10*z - 2*w - 3 = -11*z, -5*w - 10 = -2*z. Let n be 4\/10*(2 + 3). Suppose 1 = -n*b - 3. Sort z, b, -1.\nAnswer: z, b, -1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -355, -361, -369, -379, -391?\nAnswer: -405","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (q**(-3)\/q)**(-21)*q**(-2\/3)\/q*((q*q**(-4))\/q)\/q assuming q is positive.\nAnswer: q**(232\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {h: 4, t: 3, q: 1}. What is prob of picking 2 h?\nAnswer: 3\/14","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 1090*b - 876 wrt b?\nAnswer: 1090","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let s(i) = 3*i**2 + 108*i + 90. What is s(-35)?\nAnswer: -15","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0 + -3 + 3 + 2.\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 723100 is divided by 7775?\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let a(c) be the first derivative of -c**3\/3 - 2. Let w(i) = 3*i**2 + 3. Let p(h) = 3 - 1 - 2 - 1. Let x(m) = 3*p(m) + w(m). Calculate a(x(g)).\nAnswer: -9*g**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -10.7 + 1.7. Let h = 9.4 + l. Which is the nearest to -0.2? (a) h (b) -3\/7 (c) 0\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.31 times 192?\nAnswer: 59.52","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Sort 6, -23, 3.\nAnswer: -23, 3, 6","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -4, -1, 2, 5, 8, 11?\nAnswer: 14","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of -9573, -9571, -9569, -9567, -9565?\n\"Answer: 2*k - 9575","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.2689 - 1686?\nAnswer: -1685.7311","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -3.3 - -13.3. Let a = 1.58 - -8.52. Let d = c - a. What is the third smallest value in 0.5, 2, d?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(t) = 30*t. Let f be 11\/(-22)*48\/(0 - 1). Let i(y) = 6*y - f*y + 6*y + 10*y. Calculate s(i(j)).\nAnswer: -60*j","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((p*p*p**8\/p*p)\/p*p*p\/(p**(-9)\/p))**(-12) assuming p is positive.\nAnswer: p**(-252)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 3471.9 + -3393.885. Let x = 0.015 - p. Let s = x - -79.9. Which is the third smallest value? (a) 5 (b) 3 (c) s\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 20 minutes after 8:21 AM?\nAnswer: 8:41 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let g(x) = x - 1. Let n(b) = -50*b - 2. Determine 6*g(h) - 2*n(h).\nAnswer: 106*h - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Add together 77128600 and 44130.\nAnswer: 77172730","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 222651 is divided by 59.\nAnswer: 44","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 v, 1 n, and 1 u when three letters picked without replacement from {v: 2, g: 2, n: 1, u: 1, h: 1}.\nAnswer: 2\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 1 + sqrt(475) + (sqrt(19) + -1)*1.\nAnswer: 6*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 23, 90, 203, 362, 567?\nAnswer: 818","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 191432 or 191433?\nAnswer: 191432","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let l(o) = -o**2 - 5*o. Give l(-6).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 0.0341 - 4.4641. Let h = -4.8 - d. Let j = -133044 - -133046. Put h, 4, j in descending order.\nAnswer: 4, j, h","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 7*m - 22*m - 11*m + (-2 + 1 + 0)*(-4*m + 0*m + 3*m) - m - 3*m + 7*m.\nAnswer: -22*m","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the seventh root of 6398670 to the nearest integer?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of -1899, -1897, -1895?\n\"Answer: 2*l - 1901","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 10 and 69706?\nAnswer: 348530","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 28 - -3469.\nAnswer: 3497","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -102761, -205544, -308321, -411092, -513857, -616616?\nAnswer: -719369","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in 1\/2013, -5, -3, -1\/3, 405, -4?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: (-1573)\/11 + -1092 + 1151\nAnswer: -84","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 428610960 and 270?\nAnswer: 428610960","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 77806664?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Divide 565931118 by -633.\nAnswer: -894046","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 3 v and 1 g when four letters picked without replacement from lzvzlzyzzlvzlgzllg.\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let l(t) be the first derivative of 6*t - 8*t**2 + 1\/3*t**3 + 1. Does 13 divide l(18)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from kmfib. Give prob of sequence if.\nAnswer: 1\/20","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Express 35*r**4 + 3*r**3 - 31*r**4 - 2*r + 1 - 3 in the form l*r**4 + z*r + q*r**3 + b*r**2 + j and give q.\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -2? (a) -5 (b) -113\/7 (c) -0.1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 343873?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*i + 59 = r, 45 - 1 = r + 2*i. List the prime factors of r.\nAnswer: 2, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is 6 - -66?\nAnswer: 71","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let c(o) = -o + 1. Let h = 43 - 47. Let y(w) = 2*w**2 - 9*w - 1. Let r(g) = h*c(g) + y(g). Let x(a) = a**2 - 4*a - 4. What is -4*r(f) + 5*x(f)?\nAnswer: -3*f**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*u + 109*a = 107*a - 9, 2*u = -2*a + 16 for u.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of 56, 435, 1456, 3437, 6696, 11551, 18320?\n\"Answer: 53*h**3 + 3*h**2 - h + 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 582 - 578. Let c(y) be the first derivative of 2\/9*y**2 + 0*y + 7\/6*y**4 + 5\/27*y**6 + 22\/27*y**3 + 34\/45*y**5 + p. Factor c(o).\nAnswer: 2*o*(o + 1)**3*(5*o + 2)\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: -8 divided by 279381469\nAnswer: -8\/279381469","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: -165500 (base 7) to base 12\nAnswer: -17245","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Sort -36, 22, 5 in descending order.\nAnswer: 22, 5, -36","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let h(z) = 12*z + 13. What is h(-1)?\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -65*o**5 - 5*o**4*y - 6*o**2 + 44*o*y wrt o?\nAnswer: -3900*o**2 - 120*o*y","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of 3379, 26817, 90445, 214357, 418647?\n\"Answer: 3349*g**3 + g**2 - 8*g + 37","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let v(x) = x**2 + 6*x + 3. Let y be v(-2). Let j = 2136 + -2137. Which is the nearest to j? (a) y (b) 5 (c) -10 (d) 4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 46 - 10. Let j be (-5)\/2*n\/(-15). Sort -13, j, 5, -5 in ascending order.\nAnswer: -13, -5, 5, j","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 3 + -2.95. Let d = g + 0.03. Let y = d + -0.08024. What is y rounded to 4 decimal places?\nAnswer: -0.0002","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: -0.05*0.7836\nAnswer: -0.03918","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 29\/2 of a micrometer in nanometers?\nAnswer: 14500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from qjqvvdvvl. Give prob of picking 2 q and 1 v.\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Convert -100011 (base 2) to base 5.\nAnswer: -120","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Expand (102 - 102 + 24*f)*(6*f - f + 2 - 8*f).\nAnswer: -72*f**2 + 48*f","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence llz when three letters picked without replacement from lllllllzlzlllz?\nAnswer: 55\/364","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -11 + 43 = 2*x. Let m be (-1285)\/(-15) - (-126)\/54. Calculate the highest common factor of m and x.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*k - 13 + 13 = 0. Let h be k + 6\/(-8) + (-11)\/(-4). Solve h*w + 4 = a + 1, 9 = 2*w - 5*a for w.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (-70 + 0)\/(-14) + -1 + -1. Solve -6 = -6*w + t*w for w.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*o + 5*g + 43, 5*o + 3*g + 2*g = 5. Let v = -1550 - -1548. Suppose -3*m - 3 = -2*m. Sort 4, v, o, m in descending order.\nAnswer: o, 4, v, m","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth root of 75387728 to the nearest integer?\nAnswer: 21","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 5\/(-200)*8*-2*10\/4.\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: 1056\/660*(-5)\/26\nAnswer: -4\/13","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:39 AM and 3:46 PM?\nAnswer: 607","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 16 = -2*m - 2*o, -2*m = m - 5*o. Let t = m - -8. Suppose 120 = 2*d + t*d. Is d a multiple of 20?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: ((-180)\/(-16))\/((-32190)\/(-232))\nAnswer: 3\/37","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -37*c - 3 + 198*c + 179*c + 37*c + 79*c.\nAnswer: 456*c - 3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -4*f + 8*f + 9*f**3 - f to the form l*f**3 + u*f**2 + r + x*f and give x.\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 31\/(-62) - (0 + (-49)\/2) and 3.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-456)\/(-133)*14*3\/12.\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 0.2 + 0.1. What is the second smallest value in 3\/5, 1, g?\nAnswer: 3\/5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(w) be the first derivative of 7*w**4\/4 - 13*w**2\/2 - 7. Find the second derivative of x(m) wrt m.\nAnswer: 42*m","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(o) = -o**3 + 2*o**2 + o + 1. Let f be w(2). Is 7\/3 equal to f?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from lqqzq. Give prob of picking 3 q and 1 z.\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -4\/195 or 0?\nAnswer: -4\/195","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve i = -1367 + 1360 for i.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -3 - -6. Suppose -v + 256 = g*v. Calculate the remainder when v is divided by 22.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 374 + -117. Calculate the remainder when v is divided by 3.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 928?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (-6)\/((6\/(-8))\/(-1)). Let v = 10 + x. Factor 5*a**5 + 3*a**4 - a**5 - v*a**5 - 5*a**5.\nAnswer: -3*a**4*(a - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (-10)\/((-40)\/15 + 2). Differentiate 37*i + t*i + 84*i - 17*i - 45 wrt i.\nAnswer: 119","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 110338, 220922, 331506, 442090, 552674, 663258?\nAnswer: 773842","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 217925 and 391.\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is 17339 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:51 AM and 9:40 AM?\nAnswer: 49","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is 0 greater than or equal to -160776053?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth smallest value in 0.3, -0.3, -28706, -0.2, 1, 3\/4?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from xounron. What is prob of picking 1 u and 1 x?\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 28675030.\nAnswer: 2, 5, 2867503","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let z(q) = 3*q**3 - 4*q**2 - 2. Let n(b) = 7*b + 50. Let g be n(-15). Let f = 87 + g. Calculate the remainder when z(4) is divided by f.\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {s: 1, n: 3}. What is prob of sequence snn?\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let f(l) = 5*l**2 + 2. Let n(p) = -p**3 - 14*p**2 - 6. Let y(s) = 17*f(s) + 6*n(s). Let k be y(-1). Solve -4 = -3*t + k for t.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: -0.040926+-0.020758\nAnswer: -0.061684","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 127*n**3 - 93*n**3 - n**5 + 143*n**4 + 2*n**2 + 28 + 5*n**2 - 34*n**3 + 6*n wrt n.\nAnswer: -60*n**2 + 3432*n","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.000005507 to 6 dps.\nAnswer: 0.000006","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((j*j**(-1)\/j*j)**(-27))**(7\/5)\/((j*j\/(j*j**(2\/27)*j)*j*j*j\/((j\/((j*j**(-2))\/j))\/j))\/(((j**(2\/3)*j)\/j)\/(j**2*j))) assuming j is positive.\nAnswer: j**(-88\/27)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0.1 in -2, 2, 57\/2, 0.5?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let g(c) = -20*c - 6. Let w(b) = b + 34. Calculate the remainder when g(-2) is divided by w(-15).\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 57*s - 2*s**3 - 3*s**3 - 73*s - 2*s**3 wrt s?\nAnswer: -42*s","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor d**2 - 1063*d - 1064.\nAnswer: (d - 1064)*(d + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (v**(-2\/35)\/(v**(5\/7)\/v))**20 assuming v is positive.\nAnswer: v**(32\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve 8*i + 23 = 10*i - 5*z, -5*i + 26 = -2*z for i.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*w + 50 - 230. Suppose -4*a = -4*s + 60, 0*s - 2*a = -5*s + w. What is the units digit of 144\/s - (-2)\/(-10)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) 31151 (b) -3 (c) -147\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*r + 566 = 538. Let w = r - -10. Solve -k - w + 2 = 0 for k.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: -16.8 times -0.2912\nAnswer: 4.89216","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let q(g) = g**2 - 3. Let z be q(-5). Let u = 65\/3 - z. Is u at least as big as 0.1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1879?\nAnswer: 1879","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Express -3*o**3 - 6*o**3 - 3*o**3 - 1 + 1 + 2*o**3 + (329*o + 4434*o + 2674*o)*(o**2 + 0*o**2 + 0*o**2) in the form a + v*o + c*o**2 + p*o**3 and give p.\nAnswer: 7427","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 3883 - 3839. Solve -w = 4*t - 72 for t.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 4\/9 in -3, -0.4, -1.94?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-6)\/8)\/(15\/(-25)*-5).\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 448083213?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve 34*r - 32*r = 0 for r.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from eekekeevzkevkkkzkke. Give prob of picking 1 k and 2 z.\nAnswer: 8\/969","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Convert -1a5 (base 11) to base 16.\nAnswer: -ec","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence pjp when three letters picked without replacement from {y: 7, v: 1, p: 6, k: 4, j: 2}?\nAnswer: 1\/114","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let x(t) = t + 36. Let c be x(-20). Suppose 0 = -4*a + c. Suppose a*w + 5*d + 8 = 0, 4*w + 3 = -4*d - 1. Solve -i = w*i + 8 for i.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -18*q - 37*q - 936 = 49*q for q.\nAnswer: -9","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 120985?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 7923 or 0?\nAnswer: 7923","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (22\/(-55))\/((-2)\/5). Let t(f) = f**2 - 2*f - 2. Let j(x) be the first derivative of x + 2. Determine r*t(z) + 2*j(z).\nAnswer: z**2 - 2*z","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let v(t) = -19*t**2 + 2*t + 3. Let d be v(-2). Let l = -317 - -321. Put l, 0, d, 5 in ascending order.\nAnswer: d, 0, l, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 44 and 128282?\nAnswer: 256564","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 1 and 316536377?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -14*r - 20 = -9*r. Let k(l) = l + 1. Let w(a) = -3*a - 44. Let p(h) = -5*k(h) - w(h). Let t be p(23). Sort r, -3, 3, t in decreasing order.\nAnswer: 3, -3, r, t","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -4*((-2)\/(-28))\/((-88)\/(-160)) and -24\/275.\nAnswer: 1925","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 953, 960, 967, 974, 981?\nAnswer: 988","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 29*g**5*m + 2*g**4*m**2 + 131*g*m**2 + g + 2*m**2 wrt g?\nAnswer: 580*g**3*m + 24*g**2*m**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((w**2)**(-46))**(-28) assuming w is positive.\nAnswer: w**2576","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let x(d) = -76*d + 23. Is x(-5) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 132 minutes after 8:11 PM?\nAnswer: 10:23 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let s be ((-3816)\/(-81))\/2 + 4\/9. Solve r - s = -19 for r.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u be 2361 + -1 + (-1 - 3). Suppose 4*o = u + 4580. Suppose 6*k + 0*k = o. Is k a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -6, 0.1, -37\/3, -1.94, -0.3.\nAnswer: -37\/3, -6, -1.94, -0.3, 0.1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 28 + -28. Suppose -5*m + 1720 = 5*z, 3*m - 5*z - 709 - 347 = r. Is m composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -100 divided by 738.\nAnswer: -50\/369","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of 24, 41, 56, 69?\n\"Answer: -z**2 + 20*z + 5","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: (0 + 2 - 1) + 23 + (15 - 28)\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -0.02 - 2.98. Suppose j = -2*j + 63. Suppose -j = 4*c - 1. Sort c, k, -2\/13 in increasing order.\nAnswer: c, k, -2\/13","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*o - 32 = -2*g, -5*g + 11 = -4*o + 1. Let j = 8 + g. Let n be 4\/j - 120\/175. What is the biggest value in n, 2\/9, -9?\nAnswer: 2\/9","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(v) = 13*v**3 + 2*v**2 - 1. Suppose 2*b - 4 = -2. Suppose 0 = 4*c + 3*i - 10, 2*i - b = 5*c - i. Let s be a(c). Solve w = 1 - 0, -3*o + w = -s for o.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(r) = -r**3 + 20*r**2 - 36*r - 519. Determine f(15).\nAnswer: 66","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -1602875\/3 + 534291. Let q = 0.01 + 3.99. Which is the nearest to r? (a) q (b) -4\/7 (c) -6\/7\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -3819076 by -19.\nAnswer: 201004","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 470, 467, 464, 461, 458, 455?\nAnswer: 452","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 x and 2 f when four letters picked without replacement from {x: 10, f: 7}?\nAnswer: 27\/68","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_test"},"subset":"dm_maths"} +{"text":"Question: Let g(h) = -h**2 + 3*h + 1. Let r(l) = -20*l**2 - 4*l - 15. Let t(k) = 12*k**2 + k + 8. Let z(u) = 4*r(u) + 7*t(u). Calculate -7*g(p) - 2*z(p).\nAnswer: -p**2 - 3*p + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -7 + 8 - -3 - (4 - -2).\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let j be 3\/(-4)*2\/(-9). Suppose c = -d + 3*c - 10, -2*d = -5*c + 25. Let w(m) = m**3 - 2*m**2 + 2*m - 1. Let y be w(d). Which is bigger: j or y?\nAnswer: j","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*c - 16, 4*c - 6*c + 1032 = 5*u. Calculate the remainder when 427 is divided by u.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-8 + (-21)\/12)*(-12)\/26\nAnswer: 9\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred millions digit of 1474349946?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: 49 (base 12) to base 9\nAnswer: 63","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -25 - -134. Suppose -3*a - 18 = 4*q - 167, 0 = 3*a - 4*q - r. Let i = -30 + a. What is the units digit of i?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {g: 4, k: 4, q: 5, f: 1, m: 2, u: 4}. What is prob of picking 1 g and 1 f?\nAnswer: 2\/95","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Put together 90.15 and -246655.\nAnswer: -246564.85","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 28 + -23. Solve -17 = j - 0*o - 4*o, -5*j - h*o = -40 for j.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -1 = 3*w + 5, 20 = 2*i - 5*w. Suppose 0*x = x - 3*m + 4, 2*x - 10 = -3*m. Suppose x*o + i = 3*o. Sort -3, -1, o in ascending order.\nAnswer: -3, -1, o","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 3? (a) 3 (b) 13 (c) -70\/3 (d) 5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let p be 5*(2 - (-9)\/(-6)). Which is bigger: 3 or p?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 73\/396 and -79\/90?\nAnswer: 1980","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {z: 1, o: 3, d: 4}. Give prob of picking 2 d and 2 z.\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let r(c) = -c**2 - c + 1. Let z(w) = 6*w**2 + 6*w - 19. Let i(y) = -5*r(y) - z(y). Let v be i(-5). Let f be 8\/v - 78\/(-18). Solve 2*n = 3*n - f for n.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(i) = -6193*i + 7011. Calculate b(1).\nAnswer: 818","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 0.14 + 0.16. Let l = 1 + 5. Let m = -7 + l. Which is the closest to m? (a) j (b) -4 (c) 2\/7\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 42586269 a multiple of 6?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_test"},"subset":"dm_maths"} +{"text":"Question: Simplify (t**(-1\/4))**(2\/5)\/((t*t**(2\/3)\/t)\/t**4)*((t**(1\/4)\/t)\/t)**(3\/40)\/(((t*t**2*t*t*t)\/t)\/t*t)**(-1\/39) assuming t is positive.\nAnswer: t**(6719\/2080)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let a(b) be the second derivative of -b**6\/360 - 7*b**5\/120 + b**4\/4 + 3*b. Let n(p) be the third derivative of a(p). Give n(-6).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -383798*n**3 + 15691*n**2 + 5*n wrt n?\nAnswer: -2302788","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*j - 32 = -3*j. Solve 2 = -4*q + 2*l + 4, -29 = -3*q - j*l for q.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between 151859 and -464084084?\nAnswer: 464235943","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -11*v - 5*v + 256. Solve 2*f = 2*r - 2, -5*f + 7 = 2*r - v for r.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of -2365731, -2365731, -2365725, -2365713, -2365695, -2365671?\n\"Answer: 3*b**2 - 9*b - 2365725","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Subtract -2.74 from 2562.\nAnswer: 2564.74","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Put 6, -218, 5 in decreasing order.\nAnswer: 6, 5, -218","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 62274*a**2*b + 29*a**2*k**2 - 294*a**2*k - 4*a*b*k + 2*b wrt k.\nAnswer: 58*a**2*k - 294*a**2 - 4*a*b","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 18*d = -4*z + 16*d - 22, -8 = z - 2*d. Let u(t) = t + 1. Let w(m) = -2*m**2 + 7*m + 9. Calculate z*u(b) + w(b).\nAnswer: -2*b**2 + b + 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let r(j) = j**3 + 18*j**2 + 16*j - 10. Let b be -3 - (4 - (-1 - 9)). Let y be r(b). Let v(o) = -o**2 + 6*o + 2. Give v(y).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose t + 3*t = -3*q - 58, -4*t = 2*q + 32. Suppose l = 3*l + 94. Let u = q - l. Solve 8*d - k + u = 4*d, 3*d = -k - 7 for d.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(m) = 9 + 7*m**2 + m**2 - 4*m**2 - 2*m**2 - 4*m. Let o(b) = -b**2 + 2*b - 5. Calculate 4*k(x) + 7*o(x).\nAnswer: x**2 - 2*x + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let r be 8\/(-28) + (-16)\/(-7). Let c(n) = 4*n**2 + 5*n + 1788 - 5*n**2 - 1750. Let l be c(9). Solve -l*h = 6 - r for h.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 117 - 5. Let y = 125 - d. Calculate the remainder when 90 is divided by y.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 29302811 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let y(g) = -g**2. Let p(a) = 273*a. Give y(p(t)).\nAnswer: -74529*t**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (-1725)\/2 - (-12)\/16. Let o = -855 - j. Find the common denominator of o and 9\/10.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 19965037723 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let b(y) = -y - 12. Let q be b(-13). Solve 4*n + 11 = -q for n.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(n) = 3*n**2 + 4*n - 4. Suppose -d + 2*g - 27 = -21, -3 = 3*d - 3*g. Let r(y) = -10*y**2 - 11*y + 11. Determine d*r(k) + 11*u(k).\nAnswer: -7*k**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 3 d when three letters picked without replacement from {y: 2, j: 5, d: 4}?\nAnswer: 4\/165","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 41 + -14. What is the least common multiple of 731\/119 + -2*(-3)\/(-42) and u?\nAnswer: 54","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find r, given that -r**2 + 252*r - 15876 = 0.\nAnswer: 126","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -390*j**5 - 15*j**2?\nAnswer: -23400*j**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let j(t) = 3*t - 5. Let g(k) = k - 1. Let h(f) = 5*g(f) - j(f). Let q(r) = 11*r + 8. Let y(s) = 7*s + 5. Let l(w) = -5*q(w) + 8*y(w). Give h(l(c)).\nAnswer: 2*c","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Convert -20222530 (base 6) to base 11.\nAnswer: -365822","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth root of 1836205 to the nearest integer?\nAnswer: 18","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Divide 178 by 1521.\nAnswer: 178\/1521","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 590748395?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 252 minutes after 5:57 AM?\nAnswer: 10:09 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 489969246, 489969248, 489969250, 489969252?\nAnswer: 489969254","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -3*d**2*i**4 + d**2*i**2 + 4*d**2*i - d*i**2 - 25*d - 2008628*i**5 + i**2 + 4434*i wrt i.\nAnswer: -72*d**2*i - 120517680*i**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve -11 = -2*f + 5*m + 3, -5*f = m + 19 for f.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2, -71969245, 4.\nAnswer: -71969245, 2, 4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -2455 - -2455.3. Put x, 0.05, 27 in decreasing order.\nAnswer: 27, x, 0.05","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose u - 6 - 4 = -2*j, 2*u + 3*j - 17 = 0. Sort u, 2, -1 in ascending order.\nAnswer: -1, 2, u","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-2*sqrt(350))\/((sqrt(24)\/sqrt(3))\/sqrt(4)).\nAnswer: -10*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-2*j - j + 2*j)*(-2*j**3 + 5*j**3 + 6*j**3) - 4*j**4 + 47*j**3 - 47*j**3 to the form q*j**4 + g*j**3 + c*j**2 + s*j + k and give q.\nAnswer: -13","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Does 19 divide 399722?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-2 + 2 + 2*v)*(-v**2 + 7 - 7) to the form g*v**3 + w + x*v**2 + s*v and give g.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) 1\/17 (b) -0.04 (c) -0.4 (d) -4 (e) 0.1 (f) -2\/9\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*z - 144 = -4*z. Let i = -28 + z. Suppose -5*f + 73 - i = 0. What is the tens digit of f?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -9\/5 - -91\/45. Factor 2\/9*i + b*i**2 + 0.\nAnswer: 2*i*(i + 1)\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 27 - 3*t + 11*t**3 - 19 - 15*t**3 - 16 to x + w*t**3 + j*t**2 + u*t and give x.\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Put together 38 and 9.9.\nAnswer: 47.9","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 23*h + 37*h - 57*h.\nAnswer: 3*h","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Factor -5*g**3 + 100*g**2 - 65*g - 5070.\nAnswer: -5*(g - 13)**2*(g + 6)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in 2\/9, 3, 15, -3\/5, 1\/2, 547, 7?\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let m(w) = -2*w + 6. Let i(s) be the first derivative of 19*s + 55. Let c(v) = 41. Let j(x) = -6*c(x) + 13*i(x). Give -10*j(y) + 2*m(y).\nAnswer: -4*y + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (-4)\/34 - 5777\/(-1853). Solve -5*z + 0 = b + l, 0 = 2*z - b + 4 for z.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w be -6*1\/((-20)\/5)*-2. Suppose 792 = -8*x + 736. Sort -5, w, x in descending order.\nAnswer: w, -5, x","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(x) = 24*x**3 + 2*x**2 - 1. Let s = 2 + -1. Let m = 2 + 11. Calculate the remainder when t(s) is divided by m.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(f) = 2*f**2 + 15*f + 17. Let r be j(0). Solve -r*w + 28*w = 0 for w.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -5029\/2104 - -4\/263. Find the common denominator of a and -25\/64.\nAnswer: 64","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of -5206, -5219, -5256, -5329, -5450?\n\"Answer: -2*v**3 + v - 5205","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Put together 0.06 and 16539.4.\nAnswer: 16539.46","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence dlld when four letters picked without replacement from {l: 5, d: 2}?\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: 0.030244 times 4\nAnswer: 0.120976","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1096 is divided by 284.\nAnswer: 244","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(270) - sqrt(270)*-3)\/sqrt(6))\/sqrt(9).\nAnswer: 4*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*j = 12*j - 21. Solve 0 + j = -g for g.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -3*11\/33 - (0 + (1 - 3))?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -159805*b**5 - 673*b**2 + 79 wrt b?\nAnswer: -9588300*b**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.000005277 to 6 dps.\nAnswer: 0.000005","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: -1611996*5\nAnswer: -8059980","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -15892, -31789, -47694, -63607, -79528, -95457, -111394?\nAnswer: -127339","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*c = -3*o + 6*o + 19, 0 = -5*o - c - 47. Is -18 less than o?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of -492, -460, -378, -222, 32, 408, 930?\n\"Answer: 4*h**3 + h**2 + h - 498","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*f + 19 = 4*n, 3*f + 2*f = 9*n + 23359 - 23390 for n.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is -1751 + -21327?\nAnswer: -23300","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Sort -5, 9\/4, 2, 6, -8\/11 in decreasing order.\nAnswer: 6, 9\/4, 2, -8\/11, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is 91 a factor of 5525611?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -9 = -3*k + 3. Let n be 6\/(-4) + ((-126)\/12)\/21. Which is the closest to -1? (a) -1 (b) k (c) n\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q be 2 - -3*2\/(-6). What are the prime factors of (-129)\/(-3) + q + -2?\nAnswer: 2, 3, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: 0.356*932.1\nAnswer: 331.8276","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (v**17*v**(-1\/6))\/((v*v**(3\/11))\/v)**(-1\/55) assuming v is positive.\nAnswer: v**(61123\/3630)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 8 - (-11 + -8 + 32).\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: How many micrograms are there in seventy-one fifths of a milligram?\nAnswer: 14200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 9*v**4 - 36*v**3 - 3*v + 34864.\nAnswer: 36*v**3 - 108*v**2 - 3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let s(q) = 4*q - 9. Determine s(-8).\nAnswer: -41","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let w(i) = -10*i. Let c(z) be the third derivative of z**7\/1008 - 11*z**5\/20 + 14*z**2. Let n(d) be the third derivative of c(d). Determine w(n(m)).\nAnswer: -50*m","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let l(v) = 10*v + 15. Let d be l(7). Suppose 8*h = 3*h + d. Let u = h - 9. What are the prime factors of u?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -34 + 3 + 1 - 2*v + 30.\nAnswer: -2*v","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is -111000010 + 11100?\nAnswer: -110100110","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -566*b**2 - 194*b**2 - 70*b**2 + 51365*b - 51365*b.\nAnswer: -830*b**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) -1 (b) -24 (c) 3\/2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*x + 0*x + 10 = 0. Suppose -x*i = -3*i + 46. Suppose -110 = -4*p + i. Is p a multiple of 23?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -1057*r**2 - 3061*r**2 + 0*r + 0*r.\nAnswer: -4118*r**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {b: 2, x: 2}. Give prob of picking 1 b and 1 x.\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is 1007047477 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -4388*0.5.\nAnswer: -2194","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (4\/12)\/(2\/((-10)\/(-5)))*-18.\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -1.723*-30.\nAnswer: 51.69","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 2716799305?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 607 minutes after 5:11 PM?\nAnswer: 3:18 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -78 = -12*q + 246. Find the third derivative of 98*u + 3*u**2 + q*u**2 + 47*u**6 - 100*u wrt u.\nAnswer: 5640*u**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find y such that 52*y**5 + 56*y**4 - 204*y**3 - 224*y**2 - 16*y = 0.\nAnswer: -2, -1, -1\/13, 0, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:39 PM and 1:23 AM?\nAnswer: 644","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve a**3\/4 - 399*a**2 + 212268*a - 37642192 = 0 for a.\nAnswer: 532","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -161588.04 + 161588. Let t = 56 + -1287\/23. Sort 2, t, n.\nAnswer: n, t, 2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -3*q**2 - 111*q + 1764.\nAnswer: -3*(q - 12)*(q + 49)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -166 - -170. Suppose -20 = -j - 2. Sort -5, -3, p, j.\nAnswer: -5, -3, p, j","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -267*v + 1713 - 7053 = 0 for v.\nAnswer: -20","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -17 - 2*z**2 + 139*z**3 - 140*z**3 + 3*z**2 to the form r*z**3 + h*z + y + u*z**2 and give y.\nAnswer: -17","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let c(a) = 38*a - 210. Let z be c(-13). Let f = 1274 + z. Is f a multiple of 30?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: -2452 (base 8) to base 16\nAnswer: -52a","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Put together -0.38815875 and -14.\nAnswer: -14.38815875","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 80968*y**3 - 89316.\nAnswer: 242904*y**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3*a - 3*a + 5*a)*(0 + 1 + 1)*(154*a - 194*a + 196*a) + (2*a**2 + 1 - 1)*(3 - 1 - 3).\nAnswer: -314*a**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 6175?\nAnswer: 5, 13, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is 2025533 - 10?\nAnswer: 2025523","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 7.707486km in centimeters?\nAnswer: 770748.6","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -88 - -262. Suppose 776*q - 778*q = -i. What is the greatest common factor of 435 and q?\nAnswer: 87","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.000009852 rounded to six decimal places?\nAnswer: -0.00001","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 5 take away 35.61472?\nAnswer: -30.61472","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 46 and 115?\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is 91991453503 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 1983*c + 6993*c + 10992*c + 829*c + 2885*c to the form o + n*c and give n.\nAnswer: 23682","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 15 = -6*v + v. Let j(d) = d**3 + 6*d**2 + d + 3. What is the tens digit of j(v)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -0.27 + 0.27. Suppose -b + 27 = -5*m, 0 = 5*b + m + 2 - 7. Let k be 3\/2*b\/9. What is the nearest to x in 0.2, 1\/2, k?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 44.51403l in millilitres?\nAnswer: 44514.03","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) -262 (b) -0.13 (c) -2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let p(m) = -2*m**3 - 410*m**2 + 10950*m - 9593. What is p(-229)?\nAnswer: 25","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is 847d0 - 3?\nAnswer: 847cb","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 90 + 5\/5 - -4 is divided by 27\/(-9)*(-1)\/(-9)*-144?\nAnswer: 47","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1328.53 - 261.7.\nAnswer: 1066.83","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*p + 91*o = -455, -4*p + 3*o + 115 - 100 = 0 for p.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in -2\/3, 0.1, -7, -2\/5, 0.053, -209?\nAnswer: -2\/3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-101 - -41) + 26 - (30 - 1).\nAnswer: -63","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 108 and 12564?\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose f + 2*l + 6 = 0, 3 = 4*l - 9. Find the common denominator of 83\/2 and 0 - 11\/f - -1.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) -2\/11 (b) -5 (c) -23\/4 (d) -0.5 (e) 2\/245\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Express 2*z + 38 + 3*z + 0*z - 36 as v*z + n and give n.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (8\/12*-5)\/((-1)\/(-6)).\nAnswer: -20","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (-9 - -7) + (-2 + 2)\/4. Let u(b) = -9*b - 14. Let y be u(g). Solve -y*l + 3*j + 17 = 0, 0*j - 4 = l + 2*j for l.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -17*n + 25*n + 62784. Let z = -1765792\/225 - n. What is the common denominator of 37\/30 and z?\nAnswer: 450","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out 369968966 * 0.1.\nAnswer: 36996896.6","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 822.9401 litres in millilitres?\nAnswer: 822940.1","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: -113 (base 11) to base 7\nAnswer: -252","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Round 3.0204053 to the nearest integer.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*j - 24 = -5*g - 6*j, -2*g + 16 = -2*j. Let x be ((-6)\/2 + 12)\/(-1). Let f = x + 11. Solve 0 = f*y - g*y + 8 for y.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 526*r - 63*r + 4337 = -2608 for r.\nAnswer: -15","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 7893307?\nAnswer: 29, 272183","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 28211 is divided by 352?\nAnswer: 51","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1095 is divided by 39.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -1 - -3 - (-1 + 3).\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let i(v) be the third derivative of -1\/8*v**4 + 4\/3*v**3 + 0 - 2*v**2 + 0*v. Let j(k) = -1926*k + 8. Let h be j(0). Determine i(h).\nAnswer: -16","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((t**(6\/5)*t)\/t)\/(t**(2\/5)\/t) assuming t is positive.\nAnswer: t**(9\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let a(r) = 475*r**3 + 314*r**2 - 4*r + 1. Let c(n) = -950*n**3 - 625*n**2 + 7*n - 2. Let y(j) = -7*a(j) - 4*c(j). Find the third derivative of y(w) wrt w.\nAnswer: 2850","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -47*d - d**2 + 47*d + (-d + 5*d - 3*d)*(-2*d + 3*d - 3*d) + 0*d**2 - d**2 - d**2 + 2 - d**2 - 2.\nAnswer: -6*d**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-4*(1 + -1*sqrt(176) + -6*1*sqrt(176) - (2 + (sqrt(176) - (sqrt(176) - -3*(sqrt(176) + 1 + sqrt(176)))))))**2*-2*2.\nAnswer: -11520 + 1024*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let d(t) = 2*t**2 - 14*t - 116. What is d(-5)?\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*q + 2*h + 16 = 0, -2*q + h - 2 = 2 for q.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Expand 324*h**2 - 324*h**2 + 25*h**5 - 7*h + 31*h**5 + 5*h + 9*h**5 + (2*h**5 - 2*h**5 - 2*h**5)*(-5 + 2 + 1) + 2*h - 2*h + 2*h**5.\nAnswer: 71*h**5 - 2*h","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let f(i) = i**3 - 4*i**2 + i + 1. Let r = -45 + 49. Let s be f(r). Let u(p) = 5*p**2 - 6*p - 3. What is the tens digit of u(s)?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*r = 4*h + 22, 4*h = 3*h - 5. Suppose 125 = 5*w - 0*w. What is the remainder when w is divided by 11 - 1*(r + 1)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 10 in 1\/4, 0.15, 0, 0.4?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence lb when two letters picked without replacement from lxxxxrwxrwxrxxxbx?\nAnswer: 1\/272","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -296849 - -296385.307. Let h = i - -463. What is h rounded to 1 dp?\nAnswer: -0.7","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 39 or -0.1?\nAnswer: 39","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is 183000 a multiple of 125?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let f(b) = -2*b**3 + 1. Let v be ((-7)\/(-7))\/((-1)\/(-3)). Let h = v + -2. Calculate f(h).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: -0.08724 - 1.72\nAnswer: -1.80724","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 75447952?\nAnswer: 2, 4715497","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 q and 1 n when three letters picked without replacement from nnqnngnqg.\nAnswer: 5\/84","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let p(k) = 34*k**2 + 6*k - 16. Let z(l) = 7*l**2 + l - 3. Calculate -3*p(y) + 16*z(y).\nAnswer: 10*y**2 - 2*y","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: (26\/20)\/((-9165)\/(-22560))\nAnswer: 16\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 52 - 143. Let t = -89 - w. What is the nearest to 2 in t, 5, -5?\nAnswer: t","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g be 144\/(-66) + 4\/22. Let f = g - -13. Solve -4*a + f = -p, 4*a - 6*a = 3*p - 23 for p.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 5*q + 4*c + 5, -c - 1 = q - 6*c for q.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the sixth biggest value? (a) 3\/4 (b) -0.052 (c) 3 (d) -5 (e) -8\/3 (f) -2\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {c: 4, v: 1, q: 4, h: 5, y: 4, b: 2}. What is prob of picking 2 q?\nAnswer: 3\/95","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let l(h) = h + 1. Let m(r) = 2*r**3 - 2*r**2 + 2*r + 5. Let o be (13\/9*-3)\/(1\/12). Let i = o - -50. Give i*l(f) + m(f).\nAnswer: 2*f**3 - 2*f**2 + 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Convert 6.773161 years to centuries.\nAnswer: 0.06773161","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from ffffpfpqqqpfq. Give prob of sequence fff.\nAnswer: 10\/143","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (4 + sqrt(2) + -4*(2 + sqrt(2)))**2 - (-3 + sqrt(16)\/sqrt(128)).\nAnswer: 95*sqrt(2)\/4 + 37","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*g - 12 = 2*g. Suppose g*p = 7*p - 856. Is p a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 14 a factor of 245345198?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let b(u) = 2*u. Let q(w) = -7*w**2 - 4*w. Let m(y) = -6*y**2 - 3*y. Let c(j) = 4*m(j) - 3*q(j). What is b(c(r))?\nAnswer: -6*r**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -9*h + 1846 + 665 = 0. Let l = -276 + h. Solve -12 = -4*s - 4*v, 7*s - 4*v = 2*s - l for s.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: -59854 (base 15) to base 13\nAnswer: -9cb83","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Round -126962 to the nearest one thousand.\nAnswer: -127000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let u(y) = -y + 4. Let o be u(2). Let k be 2 - (1 - 2) - 1. Factor -m**2 + 3*m**2 + o*m**5 - 2*m**3 + 0*m**2 - k*m**4.\nAnswer: 2*m**2*(m - 1)**2*(m + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -5270750700 to the nearest 1000000.\nAnswer: -5271000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -109*z + 144*z - 70*z.\nAnswer: -35*z","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:35 AM and 4:19 PM?\nAnswer: 344","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (-3)\/(6\/(-8))*1. Suppose q*m - 3*j + 28 = 0, 0 = 5*m + j - 12 + 28. Which is the third smallest value? (a) 2 (b) m (c) -1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in -0.03, -0.4, -9?\nAnswer: -0.03","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*y - 4*c + 3012 = 0, 3*c + 688 = 4*y - 3353. Suppose 11*z - 27*z = -y. What is the units digit of z?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:48 PM and 6:32 PM?\nAnswer: 104","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Convert -65b1b5 (base 13) to base 11.\nAnswer: -1396486","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Expand (1 - 2 + 0)*(-4*k**3 + k**3 + 2*k**3) + 28*k**2 - 32*k**3 + 31*k**3 + 2*k**3 - k.\nAnswer: 2*k**3 + 28*k**2 - k","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*b = -b - 24. Let k be (-1 - -2)\/(-3 - b). Are k and 2\/27 non-equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -12925, -21604, -30283?\nAnswer: -38962","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of 1141, 4553, 10233, 18181?\n\"Answer: 1134*s**2 + 10*s - 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) 0.4 (b) -4 (c) -0.6 (d) 1\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let y(r) be the third derivative of -r**5\/30 + 4*r**2. Let i be ((-1)\/2)\/((-2)\/20). Let q(f) = -f - i*f + 4*f. What is y(q(a))?\nAnswer: -8*a**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let w(b) = b**2 + b + 4. Let y be w(3). Let k(d) = 120*d + 39. Let l be k(y). Is l*(-4)\/(-25 - -1)*2 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in -2\/29, 0.4, 9383, 3?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8 = -2*p + 2*s, -2*s - 14 - 13 = 3*p. Let b(j) = -j**2 - 6*j + 5. Let w be b(p). What are the prime factors of (-312)\/(-5) - w\/(-5)?\nAnswer: 2, 31","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -246350, -985441, -2217260, -3941807, -6159082, -8869085?\nAnswer: -12071816","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let b(w) = w + 35. Let q be b(0). Suppose -5*z - 5*u + q = 0, 5*u = -3*z + 2*z + 11. Let v = z - 4. Solve -5*p + 24 = -n + 3*n, v*n + 4*p - 20 = 0 for n.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 4537903?\nAnswer: 19, 238837","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 10 and 25768?\nAnswer: 128840","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Round -6069833620 to the nearest 1000000.\nAnswer: -6070000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 255 minutes after 5:22 PM?\nAnswer: 9:37 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of 33970, 67975, 101986, 136003, 170026, 204055?\n\"Answer: 3*b**2 + 33996*b - 29","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let j(u) be the second derivative of 0*u**5 - 15\/2*u**3 + 7\/10*u**6 + 0 + 109*u - u**2 + 0*u**4. What is the second derivative of j(h) wrt h?\nAnswer: 252*h**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 80408 divided by 4232?\nAnswer: 19","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 6418544 and 1232?\nAnswer: 176","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((r**5\/r**(-11))\/(r**9\/(r*r\/r**11)))**4)**(-9\/11) assuming r is positive.\nAnswer: r**(72\/11)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 19467?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let r(m) = -14*m - 418. Let s be r(-30). Solve 5*o + s*k + 1 = -22, 4*o + 23 = 3*k for o.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-1 - -2)*-3)\/(-1).\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let m be 12\/(-78) + 17\/26. Let f = -1.6 - -1.62. Let i = -0.12 + f. Which is greater: i or m?\nAnswer: m","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -2\/11, -3, 5, -2, -0.099 in descending order.\nAnswer: 5, -0.099, -2\/11, -2, -3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 4086331?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*d = -3*i - 722, -5*d = -0*i - 2*i - 1805. Let h(x) = -27*x**2 - 315*x - 179. Let k be h(-11). What is the highest common factor of k and d?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 37505?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Divide -331347096 by -14787.\nAnswer: 22408","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (-2)\/6 - 532\/(-12). Suppose -4*y + 0*y + n = 0. Let l be 123 + -2 + 1 + -1. What is the highest common divisor of l and y?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6 - 20 = -7*l. Let d(g) be the second derivative of 1\/3*g**3 + 0*g**l + 1\/4*g**4 - g + 0. What is the second derivative of d(t) wrt t?\nAnswer: 6","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -8, 0, 1, 2, -35 in decreasing order.\nAnswer: 2, 1, 0, -8, -35","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 17*z**2 - 40*z**2 + 22*z**2 + 15*z**3 wrt z?\nAnswer: 90","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:11 AM and 6:47 PM?\nAnswer: 456","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -10 + (5 - 6) + 10 - 7.\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*f = 2*o - 776, 4*o = -2*f + 1655 - 93. Calculate the least common multiple of o and 13.\nAnswer: 390","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(m) = m**2 + 32*m + 231. Let q be p(-11). Let w = -0.08 + 5.08. Let t = w + -7. Which is the third smallest value? (a) t (b) -2\/15 (c) 7 (d) q\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 1 and 4865647?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 42 and 714?\nAnswer: 714","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Sort -3\/5, -1\/6, -3, -5\/3, -0.3.\nAnswer: -3, -5\/3, -3\/5, -0.3, -1\/6","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 35\/7 + -5 - (171\/(-19) + -16)?\nAnswer: 25","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5 = -3*c + 14. Suppose -5*s + 16 = -j, -j - 10 = c*j - 2*s. Let w(y) = 7*y + 7. Let i(f) = -f - 1. Give j*w(n) - 6*i(n).\nAnswer: -n - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -2 - (-1 - (-3 + 0) - 9) - 4.\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let p(h) = -h**3 + 13*h**2 + 9*h + 5. Let i be p(8). Suppose -12*y + i = -95. Let j = y - 37. Solve -x - 12 = -j*x for x.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -6\/5305 - 397779\/84880. Find the common denominator of -14 and j.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(v) be the first derivative of 0*v**2 + 6*v**4 + 0*v + 4\/5*v**5 + 67 + 12*v**3. Factor b(g).\nAnswer: 4*g**2*(g + 3)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -14.4241 rounded to one decimal place?\nAnswer: -14.4","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 16 and 18240?\nAnswer: 18240","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 4724403\/400 + -11811. Let i = -791\/1200 - z. Let s = -1 - 6. What is the fourth smallest value in i, -1\/2, s, 1\/11?\nAnswer: 1\/11","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:10 PM and 8:47 PM?\nAnswer: 97","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from hiiihii. Give prob of sequence ih.\nAnswer: 5\/21","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 30*c - 5040 + 4530 for c.\nAnswer: 17","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -17 = -4*w + 3. Sort 1, -2, w in increasing order.\nAnswer: -2, 1, w","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 289, -5, -11, -2, -7.\nAnswer: -11, -7, -5, -2, 289","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -11 + 11. Let h = 17\/6 - 10\/3. What is the second biggest value in t, h, -3?\nAnswer: h","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) 0 (b) -5 (c) 1 (d) -1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*l = -l + 64. Suppose -12376 + 2920 = -l*o. What are the prime factors of o?\nAnswer: 3, 197","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -109.7629 + 2.1729. Let b = -106 - d. Let m = 5.51 + b. What is m rounded to zero decimal places?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*z + 111 + 3. Let v = 63 + z. Calculate the remainder when v is divided by 9.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (6 - 6 - 3*f)*(-2*f**3 - 3*f**3 + 7*f**3) in the form l*f + p*f**3 + b*f**4 + v*f**2 + c and give b.\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from oaroaaya. Give prob of picking 1 a and 1 y.\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 5723308466?\nAnswer: 2, 2861654233","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is 3799511629 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 108 - 107.99999914. Round s to seven dps.\nAnswer: 0.0000009","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in 1, -2\/21, -3, 4\/37?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of -193678, -193795, -193988, -194257, -194602?\n\"Answer: -38*w**2 - 3*w - 193637","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 5 + (4*sqrt(19) + -2 - sqrt(19)).\nAnswer: 3 + 3*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Expand (241*x**2 + 196*x**2 - 41*x**2)*(4*x**2 + 8*x - 8*x).\nAnswer: 1584*x**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 7641324 to the nearest integer?\nAnswer: 2764","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -35*n + 349 = -911. Suppose 16*s - 28*s - n = 0. Let p(x) = 14 + 4*x - 5*x + 4*x. Let l(u) = -u - 5. Calculate s*p(o) - 8*l(o).\nAnswer: -o - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve 31*x + 6211307 = 6209633 for x.\nAnswer: -54","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 90 and 1885230?\nAnswer: 90","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -6 + -15 + 33 + (5 - 4) + 3.\nAnswer: 16","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -1048 or 3\/20?\nAnswer: -1048","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.00000020116 rounded to 7 decimal places?\nAnswer: -0.0000002","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let g(n) = 37*n**2 - 4*n - 51. Is g(20) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 2256 and 18189?\nAnswer: 141","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let u(z) = -z**2 + 13*z - 72. Let x be u(16). Let b = -78 - x. What is the greatest common divisor of 28 and b?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: -20c (base 13) to base 14\nAnswer: -1b0","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let n(u) = -2*u + 5. Let q(x) = 2*x - 6. Let j(d) = 5*n(d) + 4*q(d). Give j(3).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 2\/9, -1923, -1, -0.5, 0 in descending order.\nAnswer: 2\/9, 0, -0.5, -1, -1923","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve 590*s + 579*s - 1878*s + 6800 = -573*s for s.\nAnswer: 50","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 172 - 689\/4. Let x = -3.7857 - 0.2143. What is the nearest to 0 in 19, p, x?\nAnswer: p","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 66 - 61. Solve -s + 1 = q for s.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 0*u + 0*u + 426215*u**2 + u + 156339*u**2.\nAnswer: 582554*u**2 + u","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 40 and 107528?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_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: Is 26840683 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Round 3395230 to the nearest 10000.\nAnswer: 3400000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((-4*h + 3*h - h)*(-4 + 2 - 2) + 3*h + 2 - 2)*(-3 + 1 - 1)*(0 + 0 + 1).\nAnswer: -33*h","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 4\/95 < 1?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 32 - -16. Let c = 48 - w. Solve c = 2*r - r for r.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (-22022)\/958 + 181 + -168 + 10. Which is greater: -1 or n?\nAnswer: n","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 2886307 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is 9\/16 greater than or equal to 25925?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) 3\/101 (b) 0.3 (c) -2\/13 (d) -1\/6\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*v + 22 = -2*s, 11*s + 3*s + 6*v + 14 = 6*s - 4 for s.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*w - 112 = -4*w. Let d be w*((-7)\/2 + 3). Let i = d - -24. What is the tens digit of i?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 9924705 and 180?\nAnswer: 45","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*s**4 - 953*s**3 + 1831075*s**2 + 4888025*s + 3056000 = 0. Calculate s.\nAnswer: -955, -5\/3, -1, 640","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-c**2 + 2*c**2 + 4*c**2)*(-18 - 1 + 1) + 3*c**2 - 1 + 1.\nAnswer: -87*c**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -160853021\/4014 + 40073. Let v = p + 17054\/22077. Let x = -2\/22229 - -644713\/800244. Find the common denominator of x and v.\nAnswer: 396","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(b) be the second derivative of -b**4\/16 + 3*b**3\/4 + 15*b**2 - 29*b - 3. Suppose t(k) = 0. Calculate k.\nAnswer: -4, 10","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 29*m**4 - 1306*m**3 - 187*m**2 - 122*m + 17682 wrt m?\nAnswer: 348*m**2 - 7836*m - 374","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 488 minutes after 11:52 AM?\nAnswer: 8:00 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -48021*l**4 - 26888 wrt l.\nAnswer: -192084*l**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 29540 and 20.\nAnswer: 29540","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let k(n) = 2*n + 1. Let d be k(4). Let q = 6 - 5. Suppose -q = -4*l + 47. What is the highest common divisor of d and l?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*a = 7 + 21. Let c be (-7)\/(a\/(-2))*-13. Suppose -6*j + 4*j - 4*s = -20, 2*s - c = -3*j. Solve -5*m = -j*m + 15 for m.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 66*c = 76*c - 340. Is 67\/2 less than c?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) 0.4 (b) 20 (c) -4 (d) 3\/62 (e) -4\/7\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let v(q) = 3*q**3 + 44*q**2 + 34*q + 91. What is v(-14)?\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let o(p) = -6*p**2 + 506*p. Let q(l) = 7*l**2 - 508*l. Let x(t) = 5*o(t) + 4*q(t). Factor x(f).\nAnswer: -2*f*(f - 249)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -1066137 divided by -1?\nAnswer: 1066137","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 296564 and 982.\nAnswer: 982","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 3*s + 47*s + 15*s - 47*s.\nAnswer: 18*s","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 229726 is divided by 470?\nAnswer: 366","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 145\/3141504 and 145\/79488?\nAnswer: 72254592","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 0 + 0 + 4 + -3?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let w(m) = -m**3 + 5*m**2 + 6*m - 1. List the prime factors of w(4).\nAnswer: 3, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -0.2 + -0.2. Which is the closest to 0.1? (a) r (b) 1\/5 (c) -2\/3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -25*z + 4*z = 145*z + 664. Which is the second biggest value? (a) 106\/5 (b) -7 (c) z\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (1*(-5*-1*sqrt(100))\/(sqrt(2) + -2*(sqrt(2)*-1 - sqrt(2))))**2.\nAnswer: 50","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -6 + 12 + -7 - (3 + 2 + -3)?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((a**(2\/11)\/a)\/a)\/a*((a*a**(-2\/11)*a)\/a)\/a)**(10\/7) assuming a is positive.\nAnswer: a**(-30\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2*u + 73*u + 7*u.\nAnswer: 78*u","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Divide 86710 by -8671.\nAnswer: -10","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((h**9*h)\/h)**34)**(17\/3) assuming h is positive.\nAnswer: h**1734","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*s = 16*p - 20267 + 20303, 4*s - 4*p + 8*p = 0 for s.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let w(p) be the second derivative of -p**5\/160 + p**4\/12 - 17*p**3\/48 + 5*p**2\/8 + 11*p - 3. Factor w(y).\nAnswer: -(y - 5)*(y - 2)*(y - 1)\/8","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Product of -214 and -4044.\nAnswer: 865416","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 949?\nAnswer: 13, 73","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (12\/15)\/((-4)\/10). Let q be 4\/10*(-10)\/26. What is the nearest to 0.1 in q, -2\/3, p?\nAnswer: q","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u be -2 + ((-42)\/27)\/(28\/(-42)*1). Which is smaller: 0.02796 or u?\nAnswer: 0.02796","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(i) = -8*i**4 - 35*i**3 - 41*i**2 + 216*i - 5. Let g(h) = 7*h**4 + 34*h**3 + 40*h**2 - 216*h + 4. Let a(w) = 5*g(w) + 4*o(w). Factor a(x).\nAnswer: 3*x*(x - 2)*(x + 6)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 2 - 21\/(-6) - (2 + (-115)\/(-23)).\nAnswer: -3\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 5787101369?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1749*0.01.\nAnswer: 17.49","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let t(i) = i + 1. Let q be t(0). Let d = -0.7 + 0.2. Let l = 3 + -8. What is the closest to q in 0.4, d, l?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(l) = 4*l**3 + 12*l**2 - 3*l + 3. Let o(u) = 3*u**3 + 13*u**2 - 2*u + 2. What is -2*i(h) + 3*o(h)?\nAnswer: h**3 + 15*h**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is 142159 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 4865*z**3 + 2*z**2 + 869*z**3 - 64060*z**3.\nAnswer: -58326*z**3 + 2*z**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is -7 + -1 - (3 - (-3 - 6 - -4 - -9))?\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let i(a) = 8*a**2 + 4*a + 3. What is the remainder when 105 is divided by i(-2)?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 2849237?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from cowwmhhuwhcwwwuhw. What is prob of sequence uccm?\nAnswer: 1\/14280","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 3\/30*-24*(-75)\/(-15).\nAnswer: -12","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 921713 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve 37*o + 41 + 191 = -195*o for o.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((d*(d\/d**6)\/d)**(24\/5))**(-46) assuming d is positive.\nAnswer: d**1104","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let j(b) = b**3 + 2*b**2 - 1. Let c be j(1). Suppose c*u + 0*v + 6 = 5*v, 16 = 5*u + 3*v. What is the remainder when 5 is divided by u?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -417*g**5 + 2*g**4 + 341940*g**2 - 6911596*g - 9.\nAnswer: -8340*g**3 + 24*g**2 + 683880","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 1 + (0 - -35) + 3070 + -3080?\nAnswer: 26","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 210.27l in millilitres?\nAnswer: 210270","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 3067460?\nAnswer: 2, 5, 11, 73, 191","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let n(h) = h - 3. Let q be n(-4). Let p be 2 - q\/((-1)\/1). Let a be 137\/(-9) + 7 - -8. What is the smallest value in 0.7, a, p?\nAnswer: p","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: -2 - -33 - (3 - -21 - -1)\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -148, -144, -140, -136?\nAnswer: -132","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -54*j - 21*j - 82*j - 2198 for j.\nAnswer: -14","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((s*s**(-1\/4))**(-50)*(s**(-6)*s)\/s**4)**(-3\/25) assuming s is positive.\nAnswer: s**(279\/50)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 8235?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is -3134 + 5?\nAnswer: -3126","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the eighth root of 1212063 to the nearest integer?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 2515\/((-6 - -9) + 2)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ctz when three letters picked without replacement from {c: 6, t: 3, b: 1, w: 2, z: 1}.\nAnswer: 3\/286","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let y be 2\/4*(-2 - -62). Let t = -393 - -468. What is the highest common divisor of t and y?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((w*w*w**(-8)\/w*w)\/w)\/(w\/(w\/(w*w\/w**5)))*(w*w\/w**(-6))\/(w\/w**1))\/(w*w**(4\/5)*w*w*w*w**(-3\/8))**(-1\/7) assuming w is positive.\nAnswer: w**(1297\/280)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let f(v) = v**2 + 11*v + 16. Let c be f(-2). Let w(s) be the third derivative of s**6\/120 + s**5\/20 - s**3\/6 - 18*s**2. What is w(c)?\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-17)\/(510\/(-24))*10\/(-4).\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let z(b) = 8*b - 13*b + 6 - b**2 + 9*b. Let s be z(5). Let d(a) = -9*a**2 - a + 1. Determine d(s).\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 3 or 230.198?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of 85245, 170486, 255721, 340950, 426173, 511390?\n\"Answer: -3*x**2 + 85250*x - 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 1 + 2*sqrt(99) + -4.\nAnswer: -3 + 6*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 13*m - 12*m = 39. What is the remainder when m is divided by 14?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 1 (base 9) to base 7.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 37\/5 of a litre?\nAnswer: 7400","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of -9317, -9318, -9319, -9320?\n\"Answer: -y - 9316","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*i = -7*i + 2. Suppose i*l - 33 = -l. What is the units digit of l?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 3, 182, -1, 5, -5 in descending order.\nAnswer: 182, 5, 3, -1, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6 = 4*s + 3*c - 62, 5*s + 4*c - 69 = 0. Let d(v) = v**2 - 15*v + 17. Give d(s).\nAnswer: 51","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: (4\/6)\/(10*11\/165)\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 y, 2 w, and 1 x when four letters picked without replacement from {y: 1, x: 2, w: 4}.\nAnswer: 12\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Sort 5, -3167253, -21 in decreasing order.\nAnswer: 5, -21, -3167253","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -18.62 - -19. Let j = -0.28 + n. Which is the nearest to j? (a) 0.4 (b) -5 (c) -10\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 26 - (-6 - (-7 - -12)) - (9 - -1)?\nAnswer: 27","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -93 = 2*g - 99. Let f(h) be the third derivative of 12*h**2 + 0 + 0*h - 3\/8*h**4 + 0*h**g. Let k(x) = -x. Determine f(k(d)).\nAnswer: 9*d","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*m - 11 = -77*l + 78*l, 15*l + 17 = m for m.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -0.7*-0.89368.\nAnswer: 0.625576","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in -0.1, 0, -160, -2?\nAnswer: -160","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -16*k**3*p**3 + 4*k**3 - k**2*p**3 - 95*k*p**3 wrt k?\nAnswer: -96*k*p**3 + 24*k - 2*p**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (27\/((-12474)\/12))\/(1\/(-14)*-10)?\nAnswer: -2\/55","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Convert 0.4481163 decades to centuries.\nAnswer: 0.04481163","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (4\/((-24)\/87))\/((-1)\/8). Suppose 0 = -5*z + 4*t + 594, 0 = -5*z + 2*t + 708 - j. What are the prime factors of z?\nAnswer: 2, 59","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*s + 17 = -5*l, -3*l - 2*l - 31 = 3*s for s.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {t: 1, y: 4, r: 9}. What is prob of picking 1 t and 1 y?\nAnswer: 4\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is -278 divided by 28?\nAnswer: -139\/14","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: -7.1*-0.7\nAnswer: 4.97","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {t: 5, e: 3, h: 1, q: 4}. What is prob of picking 1 q and 1 t?\nAnswer: 10\/39","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -l - 5 = 5*d, -d - 2*l - 3*l = 25. Let s(g) be the first derivative of g**4\/4 + 1477*g + 36. Is s(d) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) 3 (b) -2 (c) 0.7 (d) 4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 141*l + 2*l**3 + 2*l**3 - 141*l.\nAnswer: 4*l**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve 25*d = -69 + 19 for d.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is 1 smaller than -60\/1613?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -1771 - -1765.815. Let u = k + 0.185. Which is the nearest to -2? (a) 2 (b) -0.9 (c) u\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(q) = q + 14. Is g(-4) even?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 980377 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*i + 0*n - 8 = -n, 0 = -4*i + 5*n + 36 for i.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is -1 + -42 - (4 - (236 + -248))?\nAnswer: -59","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 228156697?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 84.7 + -95. Let w = -10.3291 - f. What is w rounded to three decimal places?\nAnswer: -0.029","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (-16)\/(-30) - (-4)\/(-20). Let v = 5 + -10. What is the closest to 0 in v, s, 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 6476*s = 6440*s + 252 for s.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (-1 + (-3)\/15)\/(-2). Let i = -0.189 + -0.111. Which is the nearest to i? (a) o (b) 1 (c) 4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1 at most 4\/103?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is 1 - -115c?\nAnswer: 115d","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Express 42*y**2 - 38*y**2 - y**3 - 5 - y - y**4 + 6*y**2 in the form c*y**3 + g*y**2 + t*y**4 + k + u*y and give u.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Convert 3 (base 15) to base 16.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let d(n) = 4*n**3 - 3*n**2 - 4*n + 4. Let l(u) be the first derivative of u**4\/4 - u**3\/3 - u**2\/2 + u - 36. Determine -2*d(z) + 6*l(z).\nAnswer: -2*z**3 + 2*z - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -13555 + 22968. List the prime factors of o.\nAnswer: 9413","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 110880 and 69696.\nAnswer: 2439360","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 1742 divided by 13?\nAnswer: 134","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let q(s) = s**3 - 4*s**2 - 3*s - 6. Let p = 1 + 0. Let h be -1*p - 24\/(-4). Is 3 a factor of q(h)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(b) = 14*b - 8. Let k = -46 + 44. Let u be (0 - k) + (0 - -1) + 0. Let q(l) = -5*l + 3. What is u*p(c) + 8*q(c)?\nAnswer: 2*c","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -41 + 46. What is the third derivative of 33 + 25 + d**a - 58 - 54*d**2 + 9*d**6 wrt d?\nAnswer: 1080*d**3 + 60*d**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -5.54 - -0.44. Let k = -0.1 - y. Which is the closest to 0.1? (a) 0.2 (b) -4 (c) k\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(z) = 7*z - 35. What is i(2)?\nAnswer: -21","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 95\/134 and 93\/3206.\nAnswer: 214802","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 294\/10*(11 + -6) + -3?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Add 1.98155617 and 1.21.\nAnswer: 3.19155617","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((f**(-2\/9)*f)**1*f*f**(-17)*f**5)**(3\/10) assuming f is positive.\nAnswer: f**(-46\/15)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 4030 (base 9) in base 12?\nAnswer: 1853","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -240.637 - -0.637. Let r = m + 240.5. Which is the third biggest value? (a) 3 (b) -8 (c) 5 (d) r\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(u) = 1 + u + 2 + 0*u. Let d be f(7). Let x = d + -20. What is the common denominator of x and 43\/3?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 5, -5, -0.02246, -11, -13 in descending order.\nAnswer: 5, -0.02246, -5, -11, -13","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let a(z) = -59*z + 6. Let l(i) = 179*i - 17. Let q(f) = -11*a(f) - 4*l(f). Let c be 3 - (-1 - -2) - 5. Is q(c) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1902203 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 636940 and 120?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let u(d) = -d**3 - 3*d**2 - 11*d - 5. Let x(v) = -v**2 + 2*v - 1. Let c be x(2). Calculate the remainder when u(-4) is divided by (c - 1)*38\/(-4).\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(x) = x + 1. Suppose 73*z = 25*z - 96. Let s(l) = -4*l - 3. Determine z*s(a) - 9*o(a).\nAnswer: -a - 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-1)\/((-6)\/15))\/((-1)\/2)?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: How many centimeters are there in 387.2409 nanometers?\nAnswer: 0.00003872409","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Does 119 divide 1468170?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 1510950?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is z in 2*z**5 - 898*z**4 - 160162*z**3 - 5495550*z**2 + 46620000*z = 0?\nAnswer: -75, 0, 7, 592","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 122, 159, 208, 275, 366, 487, 644?\nAnswer: 843","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of 2758, 3066, 3584, 4312, 5250, 6398?\n\"Answer: 105*k**2 - 7*k + 2660","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 261 is divided by 10?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 6680, 25340, 55980, 98600, 153200?\nAnswer: 219780","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 117 - 114 = 3*p for p.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 3.9 - -0.1. Let u = 3 + -1. Suppose 0 = -2*l + 4*l + u. Which is the smallest value? (a) l (b) 1\/7 (c) g\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the eighth root of 1186 to the nearest integer?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 395 and 3555?\nAnswer: 3555","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let l(s) be the third derivative of s**7\/210 - s**3\/3 - 5*s**2. Find the first derivative of l(a) wrt a.\nAnswer: 4*a**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 1, -17, -61, -143, -275?\nAnswer: -469","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Total of -16666 and -46.4992.\nAnswer: -16712.4992","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve 18747 = 34*b + 18305 for b.\nAnswer: 13","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 228776729 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: Four letters picked without replacement from {j: 5, t: 8, g: 1, b: 1, i: 3, f: 2}. What is prob of sequence jbjt?\nAnswer: 4\/2907","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve x**2\/6 + 331*x\/6 + 55 = 0.\nAnswer: -330, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Express -915*v**3 - 2*v + 2*v**4 + 914*v**3 + 2*v**4 + 2 as h + o*v + n*v**2 + j*v**3 + t*v**4 and give t.\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let p(n) = -n**3 + 6*n**2 - 36*n + 221. Let r be p(6). Solve -2*f - j = -7, 0 = f - 0*f - r*j - 20 for f.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*j = 7*j - 52. Suppose 0*p + 3*p = 12. Calculate the remainder when j is divided by p.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(o) = 18*o**2 - 3*o - 1. Let x be c(-4). Suppose 0 = -3*a + 2*t + 78, 3*t = -3*a + 5619 - 5541. What is the greatest common factor of a and x?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((f*f*f**(-10))\/f*f**33)\/(f\/(f*f**(1\/9))*f**(4\/13)))**(-5) assuming f is positive.\nAnswer: f**(-13925\/117)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is -4 - -1b3?\nAnswer: 1ab","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let r(z) = -2*z. Let d(n) = 22230*n**2. Calculate r(d(x)).\nAnswer: -44460*x**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -88 = -6*i + 122. Let f be 0 + 4 + i\/(-10). Suppose 0 = 3*p + 11*p - 42. Which is the nearest to p? (a) f (b) -1\/7 (c) 2\/5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 46 and 1058?\nAnswer: 46","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let o(r) = -r - 2. Let c be o(-4). Suppose 0 = 3*k + 2*s + 18 - 48, -c*k - 4*s + 12 = 0. Is (-8)\/k*1*-3 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -22*j = -13*j + 18 for j.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 14531 is divided by 4818.\nAnswer: 77","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let a(d) = d**2 - 7*d + 2. Let z be a(6). Let o = -3473 - -3476. Let c(w) = -w + 4. Let h(j) = -j + 5. What is o*h(f) + z*c(f)?\nAnswer: f - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1114.\nAnswer: 2, 557","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let v(o) = -2812*o**2 - 2717. Let p(l) = -7*l**2. Give v(p(m)).\nAnswer: -137788*m**4 - 2717","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let m(i) = -i**2. Let v = 14 + -11. Let b(k) = -8*k**2 + 6*k**2 - 3 + v. What is m(b(w))?\nAnswer: -4*w**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.00001941931 rounded to 7 dps?\nAnswer: -0.0000194","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*n + 16, 43 = 5*j - 3*n + 11. What is the smallest value in 0.1, -2\/7, j?\nAnswer: -2\/7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify g\/(g\/g**(1\/29)*g)*g**42 assuming g is positive.\nAnswer: g**(1190\/29)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Express 0*a**2 - 1 - a**2 - a**2 + (-4 + 2*a + 4)*(467*a - 137*a + 233*a) as c*a**2 + y + u*a and give c.\nAnswer: 1124","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-16)\/56*(-175)\/50.\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Put 10, 3, -4, -5 in ascending order.\nAnswer: -5, -4, 3, 10","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -19*d = 9*d - 34 + 6. Let r(f) = -f - 1. Let o be r(-1). Suppose 5*h - 10 + 20 = o. Put -3, d, h in descending order.\nAnswer: d, h, -3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(a) = -a**2 + 10*a + 11. Let b(d) = -2*d + 23. Let x be b(6). What is y(x)?\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 1535, 3074, 4613, 6152, 7691, 9230?\nAnswer: 10769","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 21779491?\nAnswer: 19, 60331","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7*q + 1092 = 6*q. Suppose 44*p - q = 40*p. What is the remainder when (81\/(-4))\/((-2)\/8) is divided by p?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of -35, -48, -69, -98, -135, -180, -233?\n\"Answer: -4*n**2 - n - 30","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let p(d) = -66*d**2 - 27*d. Let z(i) = -7*i**2 - 2*i + 2*i**2 + 0*i. Let s(w) = -2*p(w) + 27*z(w). Let v(y) = -4*y + 6*y + 0*y. Give v(s(x)).\nAnswer: -6*x**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 743102 divided by -2.\nAnswer: -371551","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 19\/8481 and -61\/29716396.\nAnswer: 980641068","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*j + 0*j = -2. Let x = -22 + 16. Let t be (0 - 0)*x\/(-6). Put j, t, 4 in ascending order.\nAnswer: t, j, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*g = -2*p, -6*p + p + 30 = 5*g. Suppose -o + 3*o = -3*n + 42, -4*n - p*o + 57 = 0. What is the highest common divisor of n and 84?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in -1, 1.4, 2, -6\/43, 2\/3?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Find p, given that 5*p**2 - 274685*p = 0.\nAnswer: 0, 54937","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let d(x) = -16*x - 10. Let v be d(-7). What is the third derivative of 102 - 12*b**4 - v + 11*b**2 wrt b?\nAnswer: -288*b","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify x\/(x*x\/x**15*x)*x*x\/(x*x**14*x)*x*x**23\/(x\/x**(4\/9)) assuming x is positive.\nAnswer: x**(202\/9)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -h**5\/7 + 855*h**4\/7 + 72621*h**3\/7 + 142673*h**2\/7 + 70908*h\/7 = 0. What is h?\nAnswer: -76, -1, 0, 933","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 243 and 243.\nAnswer: 243","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 929450.\nAnswer: 2, 5, 29, 641","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2\/5, -3, -1\/24, 5, -16\/933 in descending order.\nAnswer: 5, 2\/5, -16\/933, -1\/24, -3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is 1399 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve 334*x - 12 = 338*x for x.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is -914 less than -912?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (74\/(-6) - -3)\/((-2)\/3). Solve 3*x = 5*r - l, -2*x - 5 = -4*r + 5 for x.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(l) = -l**2 - 4*l + 4. Let y(c) = c**2 + 4*c - 3. Let u(g) = 4*r(g) + 3*y(g). Let q be 1\/4 + 28\/16. Let b(n) = -2 - 3 + q*n + 2. Give -5*b(p) - 2*u(p).\nAnswer: 2*p**2 - 2*p + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let q(o) = 549*o**3 - 3*o**2 - 8*o - 6. What is q(-1)?\nAnswer: -550","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 - 2\/7*x**5 - 32\/7*x - 16\/7*x**4 + 44\/7*x**2 + 6\/7*x**3 = 0. What is x?\nAnswer: -8, -2, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -d**2 + 23*d**2 + 6*d + 5*d**2 + 18*d wrt d?\nAnswer: 54","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -76\/11 + 402\/55. Factor 2\/5*h**3 - 2\/5*h - 2\/5*h**2 + b*h**4 + 0.\nAnswer: 2*h*(h - 1)*(h + 1)**2\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(h) = 3*h - 11. Let a(r) = -2*r + 6. Let b(q) = -5*a(q) - 3*c(q). Calculate b(5).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 1248 and 140064?\nAnswer: 96","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 5*m**2 - 11*m**2 + 2*m**2 + 3*m**2 + 11*m**2.\nAnswer: 10*m**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -1411 - -3342. Is f composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: -2000011022 (base 3) to base 12\nAnswer: -1aa22","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in -3.9, -2\/2369037, -0.3, 1, -3?\nAnswer: -2\/2369037","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let o(i) = -5*i + 86. Let s be o(17). Is 1151*s*(7 - (8 - 2)) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (16973*o**2 - 3 - 4 - 16919*o**2)*(3*o - 2*o - 2*o) to v*o**3 + x*o**2 + c + g*o and give v.\nAnswer: -54","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -186949932 or -186949933?\nAnswer: -186949932","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: -2 + (-11 - -6 - 23) + 1 + 10\nAnswer: -19","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let k(i) = 10*i. Let p(w) = -70*w. Let h(u) = -15*k(u) - 2*p(u). Let j(v) be the third derivative of -5*v**4\/24 + 788*v**2. Give j(h(n)).\nAnswer: 50*n","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is -8 + 24\/(-6) + 9?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is 12332610 a multiple of 9?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*r + 144 = -108. Find the common denominator of (-2)\/r*3*-10 and 101\/10.\nAnswer: 70","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c be 113\/7 - 2\/210*15. Solve 32*l - 6*l = c*l for l.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {s: 1, q: 5, p: 1, w: 1, r: 3}. What is prob of sequence qp?\nAnswer: 1\/22","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 4991000 rounded to the nearest one million?\nAnswer: 5000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of 282, -161, -1172, -2973, -5786, -9833?\n\"Answer: -37*q**3 - 62*q**2 + 2*q + 379","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 31307 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Put -8, -3, -4 in decreasing order.\nAnswer: -3, -4, -8","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let t be -1 - 0 - (-767)\/325. Let f = -138\/175 + t. Which is the nearest to 0.2? (a) -0.1 (b) f (c) 2\/7\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -1773 + 1825. Calculate the greatest common divisor of 130 and v.\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(b) = 16*b**2 - 4*b + 3. Calculate k(1).\nAnswer: 15","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is 16 a factor of 2752?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 40 and 67.297?\nAnswer: 2691.88","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Put 131, 1.31886, 18 in ascending order.\nAnswer: 1.31886, 18, 131","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-30)\/(-5)*(-36)\/(-486).\nAnswer: 4\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 f and 1 g when two letters picked without replacement from mgmfqq?\nAnswer: 1\/15","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -16 = 2*w - 3*q - 44, -5*q = 0. Let a be 4\/w + (-522)\/1386. Put a, -0.3, 3 in descending order.\nAnswer: 3, a, -0.3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(p) be the first derivative of p**3\/3 + p**2\/2 + 12*p + 2. Let q be u(0). Suppose 0 = -4*h - 0*h + q. What are the prime factors of h?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) -3\/5 (b) 1 (c) -0.13 (d) 1\/4 (e) 5\/2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Add together 0.29 and 0.999.\nAnswer: 1.289","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*u - 58 = -2*n, 56 = 3*u - 6*u + 4*n. Let m be 9\/((-90)\/u) + 2 + -2. Suppose 13\/2*z + m*z**2 + 3\/2 = 0. What is z?\nAnswer: -3, -1\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 6854.\nAnswer: 2, 23, 149","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let x(w) = -2*w - 4. Let z(l) = -712*l - 280. Let n(h) = -5*x(h) + z(h). Differentiate n(b) with respect to b.\nAnswer: -702","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*g + 224 = 4*x, -11*g + 3*x = -12*g - 68. Put 1, -4, g in increasing order.\nAnswer: g, -4, 1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(l) = -l - 12. Let u be s(-15). Suppose 3*k - 240 = -u*m, -6*m - 3 = -3*m. What is the greatest common divisor of 27 and k?\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 969823, 1939625, 2909427, 3879229, 4849031, 5818833?\nAnswer: 6788635","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0.2? (a) -56 (b) 0.03 (c) 0.5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 1800508 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: Solve -36 + 36 = -5*n for n.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let g(u) be the third derivative of u**5\/15 + 5*u**4\/6 + 8*u**3\/3 - 23*u**2. Factor g(o).\nAnswer: 4*(o + 1)*(o + 4)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -46.9 in 9, 1\/4, -14, 3\/7?\nAnswer: -14","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let i(w) be the first derivative of 13*w**2\/2 - 51*w + 141. Is 21 a factor of i(12)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 54331879 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*k + 38 = 23. Let h(y) = -y - 2 + 2. Let m be h(-4). Which is the second biggest value? (a) m (b) 1 (c) k\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c be ((-14)\/(-28))\/(26\/8). Which is greater: c or 13?\nAnswer: 13","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose h = -h + 3*l - 15, 2*h - 5*l + 21 = 0. Let t = h - -2. Let d = 938.74 + -938.54. Sort 0.3, d, t, -1\/4 in increasing order.\nAnswer: t, -1\/4, d, 0.3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of -30545054, -30545047, -30545028, -30544991, -30544930, -30544839, -30544712, -30544543?\n\"Answer: n**3 - 30545055","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is -75 divided by -31498?\nAnswer: 75\/31498","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve 383*s - 354*s = -232 for s.\nAnswer: -8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1138 - 2258 = 140*k for k.\nAnswer: -8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Divide 177008 by 592.\nAnswer: 299","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-1*sqrt(190) + sqrt(190))\/sqrt(5)*3)\/(1*sqrt(2)*1 + ((sqrt(144) + sqrt(16))\/sqrt(8) + sqrt(2) - sqrt(2))).\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (o**3 + 6*o**3 + 2*o**3)*(0 - 1 + 0) - 18*o**3 - 17*o + 17*o to i + x*o + q*o**3 + d*o**2 and give q.\nAnswer: -27","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1817, -1, -1814, 15, -5 in increasing order.\nAnswer: -1814, -5, -1, 15, 1817","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between 39310086 and -9.16?\nAnswer: 39310095.16","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 21 - 16. Let l = 1 - p. Let h(t) = t**3 + 4*t**2 - 3*t - 1. Give h(l).\nAnswer: 11","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 1951 = 1972?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*d**3\/13 - 70*d**2\/13 + 646*d\/13 - 578\/13.\nAnswer: 2*(d - 17)**2*(d - 1)\/13","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of 546239, 546237, 546235, 546233, 546231?\n\"Answer: -2*k + 546241","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let j(p) = -p**3 - 8*p**2 + 9*p + 4. Let x be j(-9). Suppose -5*s = x*t + 33, -12*s + 5*t = -10*s. Sort -6, s, -1 in decreasing order.\nAnswer: -1, s, -6","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -1\/2? (a) 1\/4 (b) 34 (c) -2\/5 (d) 1 (e) -0.3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 6.6 - 0.6. Let m = w + -5.6. Let x = 68\/455 - -2\/455. Which is the biggest value? (a) m (b) x (c) 1\/8\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 49\/14067 and 59\/3627723?\nAnswer: 32649507","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = q - 4*x - 24, 3*q + x + 2*x = -3 for q.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Do 1 and -4\/3445 have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Find b such that -2*b**4 + 61820*b**3 - 499156050*b**2 + 331386110000*b - 57469920500000 = 0.\nAnswer: 355, 15100","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 3 + 5. Solve -7 = -5*n + t for n.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -j**2 + 0*j**2 - j**2 + (-j**2 - 5*j**2 + 5*j**2)*(-5 + 0 + 1) + 7 - 7 - 5*j**2 as q + p*j + o*j**2 and give o.\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve -686*n + 38 = -648*n for n.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let r be 0 - 6\/(19\/(-8) + 2). Suppose 0 = -12*s + 8*s + r. Suppose 0 = 3*q - s*q + 18. Does 9 divide q?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -113\/20 and 19\/179080.\nAnswer: 179080","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 4*u**3 + 7*u + 7*u + 6*u**2 - 14*u**2 + 8*u**2 to w + v*u**3 + h*u**2 + p*u and give p.\nAnswer: 14","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is -2 divided by -985?\nAnswer: 2\/985","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Sort 3999, -0.018, -1, -3\/7 in increasing order.\nAnswer: -1, -3\/7, -0.018, 3999","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let x(n) = 4*n + 9. Let f(v) = 5*v + 10. Let l(r) = 5*f(r) - 6*x(r). Let y be l(5). Solve j = -0*j + y for j.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -1.52 + 1.52. Let w = -11.29 + 11. Let t = w - 4.71. Sort t, h, 1\/6.\nAnswer: t, h, 1\/6","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(a) = -a**3 + a**2 + a - 2. Let v(b) = -b**3 + 2*b**2 + 2*b - 3. Let w(f) = 3*n(f) - 4*v(f). Does 2 divide w(6)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is -b8 + d7d05?\nAnswer: d7c2b","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) -1\/6 (b) -0.03 (c) -1\/8 (d) -108\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 20834356 and 3352.\nAnswer: 1676","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -1390 or -325?\nAnswer: -1390","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 122*n**2 - 432*n**2 + 278*n**2 - 324*n**2 - 1137*n**2 to the form r*n + j + o*n**2 and give o.\nAnswer: -1493","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (33\/(-12))\/11 + 1\/(-12).\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 2161183\/56 - 308745\/8. Let v = -0.94 + 1. Which is the nearest to v? (a) k (b) 1 (c) -3 (d) -0.5\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -53371 - 93.3.\nAnswer: -53464.3","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Express -q**3 - 2*q + 0*q**3 + 289 - 268 - 2*q**2 as i*q**3 + t*q**2 + n + x*q and give t.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is three eighths of a litre in millilitres?\nAnswer: 375","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 148 minutes after 12:24 PM?\nAnswer: 2:52 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:15 AM and 9:22 AM?\nAnswer: 67","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 7047.759um in centimeters?\nAnswer: 0.7047759","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 1*sqrt(25)\/sqrt(5) - (sqrt(45) - (2 + sqrt(45))) - (sqrt(500) - (0 + -1*sqrt(500) + sqrt(500)))**2.\nAnswer: -498 + sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0 in -0.7, -2\/9, 0.3, 4?\nAnswer: -2\/9","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let q(t) be the third derivative of 0*t**4 + 0*t**3 + 0*t + 1\/30*t**5 - 1\/30*t**6 - 2*t**2 + 0. Find the third derivative of q(y) wrt y.\nAnswer: -24","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(z) = -9*z**2 - 39933*z - 159665. Determine b(-4).\nAnswer: -77","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let q(i) = -18*i. Let v(p) be the first derivative of -239*p**2\/2 - 3608. Give q(v(k)).\nAnswer: 4302*k","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: (-2)\/(1*2\/(-2))*19\/(-323)\nAnswer: -2\/17","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*d - 95 = -29. Calculate the remainder when (-175)\/(-4) - (-6)\/(-8) is divided by d.\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0*-6*(-2)\/24?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 16 + -11. Let i be 14\/(-21) - 10\/(-6) - -4. Is i less than z?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 0.624744 - 0.54909. Round z to 4 decimal places.\nAnswer: 0.0757","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -111112122020212 (base 3) to base 5.\nAnswer: -3320244443","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (11 - 553\/28) + 9. Which is the third smallest value? (a) -37 (b) 7 (c) p (d) -1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 3341583 a multiple of 609?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 99616 and 24904?\nAnswer: 99616","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify g**(-8\/3)\/(g*g**17) assuming g is positive.\nAnswer: g**(-62\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 15470 is divided by 292?\nAnswer: 286","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Express -698 + v**3 - 30*v**4 - 2991 + 28*v**4 + (2*v + 0 + 0)*(-v + 2*v**3 + v) as u*v**4 + d*v + x + m*v**2 + i*v**3 and give x.\nAnswer: -3689","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 16 = -5*l - 4*d, 0*l - d - 4 = -5*l. Suppose l = 2*h - 11 - 21. Suppose 0*b - 2*b + h = 0. What are the prime factors of b?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between -2399.6 and 0.039?\nAnswer: 2399.639","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 13\/1680 and 59\/105.\nAnswer: 1680","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -11 + 6. Suppose -4*r - 20 = 2*o, 1 + 19 = -5*o. Let m(i) = -2*i + 5. Let k(h) = 4*h - 9. Give r*k(j) + s*m(j).\nAnswer: -2*j + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-8)\/(-28)*11907\/(-162).\nAnswer: -21","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -86080186*y**2 + 330844152 with respect to y.\nAnswer: -172160372*y","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -5*s - n - 10, 2*s = 5*n - 126091 + 126060 for s.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 1 - 2. Which is smaller: -2 or u?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -42026 - -59433. Is 23 a factor of p?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(147)\/(sqrt(14)\/sqrt(2)))\/(sqrt(147) - (sqrt(147) - (1*sqrt(147) + sqrt(147)))) + 0)**2.\nAnswer: 1\/28","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 1826 and 132?\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -374\/31 - -1171\/372. Calculate the common denominator of 0 + -1 + (-309)\/(-42) and f.\nAnswer: 84","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many kilograms are there in 17\/2 of a tonne?\nAnswer: 8500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is -5 - 53?\nAnswer: -58","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.990367 rounded to two decimal places?\nAnswer: 0.99","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let v(l) be the second derivative of -1\/6*l**3 + 3*l + 0*l**2 + 1\/20*l**5 + 1\/6*l**4 + 0. Give v(-2).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -5.94 - -6. Let t = -0.14 - 0.02. Let i = g + t. Is 4 less than i?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -3072, -3224, -3378, -3534?\nAnswer: -3692","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let g(c) = -15*c - 2. Calculate g(-3).\nAnswer: 43","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 1785a37 (base 11) in base 3?\nAnswer: 12200122002012","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 112813260 to the power of 1\/3, to the nearest integer?\nAnswer: 483","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*m = 7*m - 20, 0 = 5*x + m - 24. Solve -5*q = 3*w + 20, -9 = x*q - 5*w + 7 for q.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_test"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -18561*q**3 - 1094527185*q + 1094527185*q.\nAnswer: -18561*q**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence leii when four letters picked without replacement from {p: 2, w: 1, l: 7, e: 5, i: 3}?\nAnswer: 7\/2448","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.000295067827 to three decimal places.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*b = -104 - 11. Suppose -b - 13 = -9*n. Suppose -5*a + 153 = h, h + 3*h - n*a = 660. Is h a multiple of 21?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y be 4 - (-2)\/(-1 - -2). Calculate the least common multiple of (-3)\/y*(-15 - -1) and 1.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 147 + -145. Suppose d*x = 3*x - 11*x. Solve -2*f + x = 2 for f.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -50 + 1 + (-773 - -816).\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 102 + -211 + (-5 - (-33 - 0)).\nAnswer: -81","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7*g - 2*g - 9 = -u, 1 = 5*g - u. Let z be -2*(-6)\/4 - g. Is (z - 1)\/((-5)\/(-385)) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let 20\/7*b**2 + 10\/7*b**3 - 4\/7*b**4 - 2\/7*b**5 - 16\/7 - 8\/7*b = 0. Calculate b.\nAnswer: -2, -1, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(l) = -l**2 + 14*l. Let i(t) = -6*t**2 + 70*t. What is -11*c(h) + 2*i(h)?\nAnswer: -h**2 - 14*h","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 9*m**3 - 24*m**3 + 105 + 32 - 40.\nAnswer: -15*m**3 + 97","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (4 + -2)*-1 + 0. Let d(n) = 35*n**2 - n + 2. Let y be d(g). Suppose 3*f + 24 = 4*p - 3*p, 4*f - y = -4*p. Is p 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 {k: 4, m: 3, v: 5, e: 1, r: 1}. What is prob of picking 1 k and 3 m?\nAnswer: 4\/1001","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*y + 0*b = -4*b + 18, 5*b = 20. Suppose -2*f + 7 = y. Differentiate 26*v**3 - f - 35*v**3 - 2 wrt v.\nAnswer: -27*v**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -3 + -17 + (-5 - -10) + 2?\nAnswer: -13","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is (-32)\/(-130) - 2\/(-40)*-8?\nAnswer: -2\/13","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 d when two letters picked without replacement from kddkkkkvkkkdddkdkkkd.\nAnswer: 21\/190","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 15*m - 2*f = -2, -m = -4*f + 68 - 64. Solve m = -2*s + 4*k + 20, -2*s + 3*k = -0*k - 16 for s.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve s - 42 + 54 = x, -3 = s - 4*x for s.\nAnswer: -15","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (1*sqrt(162))**2*-2 + 0 + (-1 + (sqrt(162) - (sqrt(162) - (sqrt(162) + -1))))*5.\nAnswer: -334 + 45*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -14 + 82 - 22 - 1172*c**5 + c**4 - 46 - 269*c**2 wrt c.\nAnswer: -70320*c**2 + 24*c","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 4, 0, 472, 1, -1395, -4 in decreasing order.\nAnswer: 472, 4, 1, 0, -4, -1395","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0.9 in 0.2, 1168, -0.1, -3\/5?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Express (-53 + 173 + 14)*(n**2 - 2 + 2) as h + c*n**2 + f*n and give c.\nAnswer: 134","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 272 is divided by 77\/11 + -2 + 97?\nAnswer: 68","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 282993770?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is 52286140663 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 19701582 is divided by 3940294.\nAnswer: 112","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let d(o) = -o**3 - 13*o**2 + 13*o - 13. Let i(k) = -2*k + 8. Let l be i(11). Let a be d(l). What is the nearest to -1\/4 in -5, -21, a?\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (8*x**2 + 0 + 0)*(0 - 1 + 0)*(8 - 23 + 1)*(-16*x + 1 - 1).\nAnswer: -1792*x**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0.02 in 1, 8\/5, 4, -0.2?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Express 3 - 36*z**3 - 3 + 87*z**3 + 1 in the form s + w*z**3 + n*z**2 + l*z and give w.\nAnswer: 51","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 232*w**5*y + 7*w**5 - 3*w**2*y + 137*w*y wrt w?\nAnswer: 13920*w**2*y + 420*w**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let v(b) = 12*b + 1. Let y = 5 + -4. Calculate the remainder when 38 is divided by v(y).\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {j: 1, w: 5, y: 2, n: 8}. What is prob of picking 2 w and 2 y?\nAnswer: 1\/182","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 0 - 18166960943?\nAnswer: -18166960943","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 2\/18 - (-5159)\/63?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(h) = -h**2 + 9*h - 6. Let x be u(8). Suppose x*b = b + 20. Let p(g) = 5*g + 8. Calculate the remainder when p(6) is divided by b.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 8698 divide 347763436?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (-4)\/12*(2 - 11). Suppose 3*q - 2*p - s*p = 25, -2*p - 8 = -q. What is the highest common factor of q and 90?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 23443121 and 104.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -328 - -307. Sort -2, 0, 1, m.\nAnswer: m, -2, 0, 1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (n\/(n*n**(-6)))\/n*n\/(n**(-30)*n)*n**(-6\/25)\/n*n*n**(-5) assuming n is positive.\nAnswer: n**(744\/25)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 68487 and 37?\nAnswer: 37","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let r(n) = -61*n + 32. Let m(v) = -2*v**3 - 20*v**2 + 9. Let t be m(-10). Suppose -15*y - 30 = -t*y. Is r(y) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -7438 or -6472?\nAnswer: -6472","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let t(z) = 2 - 4*z**2 + 5*z**3 - 6*z**3 + 4 + 0*z**2 + 6*z. Suppose a + 1 = -4. What is the units digit of t(a)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -163\/2 in -0.2, 1\/3, -4?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let c(g) = 4*g**3 - 7*g**2 + 8*g - 1. Let b be c(3). Suppose -6 = -b*j + 66*j. Solve -3*p + 5*i + 2 = 0, -8 = -p - j*i + 2 for p.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (a\/(a**4\/a)*a)**3*(a*a**(1\/3)*a)**(-30) assuming a is positive.\nAnswer: a**(-73)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) -2 (b) -30 (c) 4 (d) -1 (e) 3\/8\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2671 + z + 2671.\nAnswer: z","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is 30 at most as big as 31?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is (4\/(-5)*(-291)\/(-194))\/((-6)\/(-45))?\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 18660332 to the nearest integer?\nAnswer: 4320","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 1762, 6777, 15048, 26575, 41358, 59397?\nAnswer: 80692","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 158 a factor of 112902?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*l - 8 = 2*r - 41, 8 = 2*r - 0 for l.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 1022009 or 19418185\/19?\nAnswer: 19418185\/19","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((o\/(o**6\/o))\/(o\/o**(4\/3)))**(-40)*(o*o**8*o*o**(3\/5))**(9\/8) assuming o is positive.\nAnswer: o**(19031\/120)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 0.504 + -0.404. What is the nearest to h in 2\/5, 0.3, 2, 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((n**2*n)\/((n*n*n**(5\/7))\/n))**(4\/3)\/(n**(-9)*n**(3\/4)*n)**1 assuming n is positive.\nAnswer: n**(251\/28)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -20 = v + 4*l, 3*l + 56 = 4*v - 16. Solve 2*g + 7 = -f, v = -23*g + 20*g for f.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 45 + 78 = 15*c + 33 for c.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let k(w) = 35*w - 53. Let s(m) = -37*m + 53. Let g(h) = 4*k(h) + 5*s(h). What is the derivative of g(t) wrt t?\nAnswer: -45","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is (-20)\/15*(((-229635)\/20)\/3 + 3) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -29994 divided by -4999.\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 26580 - 12910. Calculate the remainder when l is divided by 49.\nAnswer: 48","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -s**5 + 261*s**4 + 3*s**3 - 19233*s + 1 wrt s?\nAnswer: -20*s**3 + 3132*s**2 + 18*s","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let z(o) be the third derivative of 1\/108*o**4 - 2*o**2 - 1\/27*o**3 + 1\/270*o**5 + 0 - 1\/540*o**6 + 0*o. Find p, given that z(p) = 0.\nAnswer: -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -1965, -1992, -2019?\nAnswer: -2046","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*d + 64 = 5*x, 2*d + 16 + 8 = x. Let i be ((-3)\/15)\/(x\/20). Let p = i - 0. Which is the closest to 0? (a) 0.4 (b) p (c) -0.2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is -111011111 - 100?\nAnswer: -111100011","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is 1 not equal to 996\/505?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Express -f**2 + 137*f**3 - 30*f + 27*f + 3*f as k*f**3 + c*f + v*f**2 + u and give k.\nAnswer: 137","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let b(d) = -d**2 - 6*d + 6. Let j = 2 + 3. Suppose -5*w = -2*z, -3*w + 8 - 27 = -j*z. Suppose 5*x + 22 = i - 15, -5*x - 31 = w*i. What is b(x)?\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-2*sqrt(2673) + sqrt(2673) - (sqrt(33) + (-2*sqrt(1617) - sqrt(1617)) + sqrt(33)))\/((2*-2*sqrt(132))\/sqrt(12)).\nAnswer: -5*sqrt(3)\/2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify v**13*v*v*v*(v\/(v*v\/((v*v*v\/(v*v\/(v\/v**(-2\/7)*v)))\/v)*v)*v)\/v*(v\/v**(-1\/3))**(2\/81) assuming v is positive.\nAnswer: v**(27758\/1701)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*v - 3*s + 5*s = 0, v + 5*s + 11 = 0 for v.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (-4 - -1)*(-1 + 0). Let k = h + -1. Find the third derivative of 2*t**2 - 4*t**k + t**6 + t**6 wrt t.\nAnswer: 240*t**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*s + 3*y + 2 = 0, -574*y = 5*s - 576*y + 6 for s.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-18)\/(-50))\/(237\/(-395))?\nAnswer: -3\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(m) = -m**2 + 292*m + 81086. What is w(-174)?\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0 in -373, -1\/3, 0.4?\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -47.27 + 47.0659. Round c to one dp.\nAnswer: -0.2","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -15 + (-51 - -88) + -2?\nAnswer: 20","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 6136 and 105014?\nAnswer: 24783304","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 209 minutes after 10:07 AM?\nAnswer: 1:36 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 78\/(-20) + (-23)\/115 + 4?\nAnswer: -1\/10","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tenth root of 1728866 to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of -13704, -13696, -13668, -13614, -13528, -13404, -13236, -13018?\n\"Answer: j**3 + 4*j**2 - 11*j - 13698","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let p(c) = 3*c. Let f(u) = -2*u**2 - 63*u. Determine p(f(g)).\nAnswer: -6*g**2 - 189*g","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Convert 63.43078 litres to millilitres.\nAnswer: 63430.78","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Express 7*n - 7*n - 3*n**2 + (2 + 1 - 2)*(-n**2 + n**2 + n**2) + 0*n + 0*n - 2*n**2 - 3*n**2 + 4*n**2 - 2*n**2 in the form p + f*n + v*n**2 and give p.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let j(z) = 113 + z**3 - 237 + 114 - 10*z - z**2. What is the units digit of j(6)?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 1 - 3 + 6*n - 48*n**4 + 85*n**4 - 70*n**4 wrt n?\nAnswer: -396*n**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {g: 2, j: 1, m: 3, o: 1}. Give prob of sequence jggo.\nAnswer: 1\/420","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -53\/56 and (2 - 5) + 12 + 17066\/(-1840).\nAnswer: 280","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(z) = -z**2 - z + 7. Let g(q) = -q**2 + 7. Let b(d) = 5*g(d) - 4*v(d). What is b(6)?\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many years are there in one quarter of a millennium?\nAnswer: 250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let s(f) = -f**3 - 7*f**2 - 3*f - 4. Is s(-8) a multiple of 13?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is (70\/5 - -130607) + 10 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*u**5 - 3*u**4\/4 + 15*u**3\/4 = 0. Calculate u.\nAnswer: -5\/4, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -12 + 18. Suppose y - 14 = -q*y. Suppose -5*v - 5*g = -y*v - 469, 2*v = -3*g + 314. What is the units digit of v?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(g) = -g**3 + 7*g**2 - 3. Let q be d(7). Suppose 2*t - 5*t = 21. Let w = q - t. Solve w = -r - r for r.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the eighth root of 6113654 to the nearest integer?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 10021022 (base 3) in base 11?\nAnswer: 1878","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:58 PM and 8:58 PM?\nAnswer: 480","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of 62129, 124276, 186421, 248564?\n\"Answer: -q**2 + 62150*q - 20","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 13427 and 16530?\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Subtract -469.3 from 0.3.\nAnswer: 469.6","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Does 22 divide 1640122?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -6078 in 9, 2, 55?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -34? (a) 0.3 (b) -1\/4 (c) -1\/6 (d) 16852\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (-11)\/198*44*(-21)\/112. Let s(a) be the third derivative of 0*a + q*a**4 + 0 - 7*a**2 - 7\/2*a**3. Differentiate s(z) with respect to z.\nAnswer: 11","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 130.7 plus 14985?\nAnswer: 15115.7","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is 4178393 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {m: 1, c: 2, b: 1, w: 4, g: 2, q: 4}. Give prob of picking 2 g.\nAnswer: 1\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 1414 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: Determine g, given that 5*g**3 - 2550*g**2 - 412155*g = 0.\nAnswer: -129, 0, 639","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -9*s = -39*s + 277020. What is the units digit of s?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is -192 - -10?\nAnswer: -182","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -89 - 15 = -13*v. Find the common denominator of (462\/15)\/(v - 2) and 65\/96.\nAnswer: 480","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(m) = 31*m + 7. Let o(p) = p + 9. Let t = -10 - -4. Let i be o(t). Is l(i) a multiple of 20?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 35? (a) -4\/3 (b) -0.2 (c) -2185 (d) -9 (e) 3\/4\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is -4*(-16710)\/(-8912)*(-5)\/((-275)\/(-2))?\nAnswer: 3\/11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (-55)\/25 - (1 - 3 - 0). Suppose -49*z + 376 - 82 = 0. Which is the nearest to 1\/4? (a) d (b) 5 (c) z\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 1374 to the nearest integer?\nAnswer: 37","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -h + 0*h = -4. Suppose 3*x - 15 = -3*d, h*d - 5*d = 5*x - 25. Let o(g) = g**2 - 3*g + 2. Let t be o(x). Solve 3*r = 2*i + 5, -3*i - t = 5*r + 5 for i.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: 1099553 divided by -157079\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -198 + 197.9. Let s(m) = m**3 + 9*m**2 + 15*m + 6. Suppose -5*f = -9*f - 28. Let u be s(f). Which is the closest to u? (a) -1 (b) j (c) -5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many months are there in one quarter of a decade?\nAnswer: 30","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 6\/9*2475\/(-150).\nAnswer: -11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 4056 and 24?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.5664 rounded to two dps?\nAnswer: -0.57","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of -2408, -4812, -7216?\n\"Answer: -2404*l - 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0.07, 2, 2\/9, 3540.\nAnswer: 0.07, 2\/9, 2, 3540","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-3)\/54)\/(2\/(-18))?\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand s**5 + 2*s**5 - s**5 + (3*s**5 - 4*s**5 + 4*s**5)*(-408 + 6818 + 4689 - 2849).\nAnswer: 24752*s**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 8 - (29 + -33 - (-8 + 14))?\nAnswer: 18","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (2*sqrt(833) - sqrt(833))**2 + 1 - (6*(1 + sqrt(17)) - (sqrt(425) + -2)).\nAnswer: -sqrt(17) + 826","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is -435 + 4?\nAnswer: -431","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is 0 greater than -1\/240?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let w(v) = 2*v - 5*v - 3*v. Let y be w(-1). Suppose -3*h = -y*h + 6. Solve 2*f + 3*b + 13 = -h*f, -b = 2*f + 7 for f.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (-1 - 1) + (0 - 2). What is the remainder when j*(-2 - (-75)\/(-12)) is divided by -1 - ((-5)\/((-30)\/(-216)))\/2?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(a) = 7*a - 5. Let q(n) = -7*n + 4. What is -2*f(g) - 3*q(g)?\nAnswer: 7*g - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-62 - -32) + 72 - 9.\nAnswer: 33","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 3*1*(-32)\/24?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let l be 13\/(-2) + 4 + 14\/(-4). Let r be (l + 4)*10\/(-4). Solve -t = 2, 4 = -r*w - 4*t - 9 for w.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -9383, -9379, -9403, -9461, -9559?\nAnswer: -9703","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*w + 2*m = -23, 0*w - w - 5564 = -4*m - 5577 for w.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is 22047872069 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: -3536 (base 10) to base 12\nAnswer: -2068","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is -2\/91 not equal to 1?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:53 PM and 7:11 AM?\nAnswer: 618","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is -319 < -319?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 1929 - 1926. Sort 2, -2, 0, q in descending order.\nAnswer: q, 2, 0, -2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (-4 - -5) + (0 - 0). Let y(c) = 8*c - 1. Let t be y(o). Calculate the highest common factor of 63 and t.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-59)\/6)\/(((-15)\/(-270)*-15)\/5)?\nAnswer: 59","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Product of -39.1827 and -5.\nAnswer: 195.9135","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -217*w**2 + 429*w**2 + 766 - 100 - 214*w**2 to the form h + l*w**2 + m*w and give h.\nAnswer: 666","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 a when two letters picked without replacement from atyattaa?\nAnswer: 3\/14","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (w**5*w)\/(w**(-7\/8)*w)*w**(-19)*w\/(w**(-25)\/w) assuming w is positive.\nAnswer: w**(111\/8)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is -4040202 + 3?\nAnswer: -4040144","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 1 - 4 + 2 - 4 - 12*i**2 + 7 to q + f*i + s*i**2 and give f.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is -9.8288528 rounded to the nearest integer?\nAnswer: -10","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 3370632830?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 11*t - 51*t + 0 - 1142*t**3 - 289*t**3 + 0.\nAnswer: -1431*t**3 - 40*t","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -1586 + 142. What is the hundreds digit of v\/12*(0 + (1 - 4))?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(u) = -u + 2. Let b(o) = -2*o + 3. Let s(q) = 2*b(q) - 5*h(q). Calculate s(3).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(h) = -4*h - 8. Let b(d) be the second derivative of -d**5\/20 + 5*d**4\/12 + 2*d**3\/3 - 13*d**2 + 42*d. Let m be b(5). Determine n(m).\nAnswer: 16","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -1\/3, -938, -22, 0, -1 in ascending order.\nAnswer: -938, -22, -1, -1\/3, 0","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 7633?\nAnswer: 17, 449","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 532 (base 10) in base 11?\nAnswer: 444","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Express -3*z + 6*z - 37*z in the form l*z + a and give l.\nAnswer: -34","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -0.1? (a) 0.326 (b) 0 (c) 2\/5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (o**(-1)*o**(2\/3))**(-5\/17)*(o\/o**6*o*o**4\/o)**43 assuming o is positive.\nAnswer: o**(-2188\/51)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let g(a) be the second derivative of -5*a**4\/34 - 73*a**3\/51 + 10*a**2\/17 - 394*a. Solve g(c) = 0 for c.\nAnswer: -5, 2\/15","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 12.1 at least as big as -8?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -7\/6? (a) 2\/7 (b) 5 (c) -29\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*o = r - 15, 0 = -2*r + 4*r + 4*o - 12. Find the common denominator of (5\/10)\/(r + 60\/(-214)) and -1\/18.\nAnswer: 180","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -15*g**2 - 2*g - 16*g**2 - 18 - 24 + 37 - 19.\nAnswer: -31*g**2 - 2*g - 24","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -10\/26239? (a) 11 (b) 0.5 (c) -1 (d) 3 (e) -2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let o(t) = t**3 + 13*t**2 - 10*t - 79. Let i be o(-14). Which is smaller: -48 or i?\nAnswer: i","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(y) = 5*y. Suppose -c + 5*b = -15, 4*c = -b + 20 - 2. Let d(f) = 0*f**2 + c*f**2 - 3*f**2. Give s(d(q)).\nAnswer: 10*q**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -74\/4455 and -40\/189.\nAnswer: 31185","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {w: 2, i: 2, b: 1}. What is prob of picking 1 w and 1 b?\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 112*n - 348 = 110*n. What is the highest common factor of 1914 and n?\nAnswer: 174","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (p**0*p)\/(p\/p**(1\/7))*(p**0)**15*(p**1*p)**9*(p\/(p*p**(-1)*p*p))**(-12) assuming p is positive.\nAnswer: p**(211\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -0.2? (a) 7\/2 (b) 4 (c) 33 (d) -0.1\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 1663182, 1663186, 1663192, 1663200, 1663210?\nAnswer: 1663222","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 791*n + 3329 - 17109 - 5995 = 0 for n.\nAnswer: 25","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:39 AM and 12:48 PM?\nAnswer: 669","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let s(y) = -48*y**3 + 11*y**2 - 5*y + 5. Let r(o) = -24*o**3 + 5*o**2 - 2*o + 2. Determine -7*r(m) + 3*s(m).\nAnswer: 24*m**3 - 2*m**2 - m + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 799084.\nAnswer: 2, 11, 13, 127","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -1 + 0.9. What is the second smallest value in n, 19, 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-5 + sqrt(95)\/(sqrt(320)*-1 + sqrt(320) - sqrt(320)) + -1 + sqrt(152)\/sqrt(72))*3.\nAnswer: -18 + 5*sqrt(19)\/8","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is 24a564e + 3?\nAnswer: 24a5651","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0.02, 3, -0.4, 1\/3, -0.5.\nAnswer: -0.5, -0.4, 0.02, 1\/3, 3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 16500 and 3068250.\nAnswer: 750","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*b - 70 = -5*q, 3*q = -0*b + b + 43. Let j = 34 - q. Let d be 2\/9 - (-2 - (-4734040)\/j). Round d to the nearest 10000.\nAnswer: -260000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2 = 6*u - 5*u. Let k = 10 - u. Let x = k + -11. Which is bigger: -2 or x?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 48158732177 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 17*i = -14*i. Which is smaller: i or 0.92?\nAnswer: i","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.000003295197 to 7 dps.\nAnswer: 0.0000033","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let y be -13 - (0 + -2 + -1). Let r = y - -7. Let q be (-6)\/(r - -5) - -7. Solve -q*x = x for x.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2171 + 2241 = -7*q for q.\nAnswer: -10","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -3 + (-1 - -4) + 0.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 60 + -41. Is y > 20?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 615*z - 324*z - 1404*z to v + h*z and give h.\nAnswer: -1113","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 239422235*r**5 + 216002855*r**2.\nAnswer: 14365334100*r**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is 17403 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is -1035 divided by 8?\nAnswer: -1035\/8","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let n(v) = 3*v**3 + 16 - 4*v**3 - 51*v**2 + 9*v + 45*v**2. Let p be n(-7). Let x be -2 - (37\/(-7) + 3). Which is the nearest to p? (a) -4 (b) -2 (c) x\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 5467, 15622, 30451, 49960, 74155?\nAnswer: 103042","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 1\/5 in 1\/105, 10, -2, 2\/19, 0.2?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Put 108, 5, 1 in ascending order.\nAnswer: 1, 5, 108","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in 0.1, -463677, -2\/3, 0.5?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Put -3\/5, -1\/30, 5 in descending order.\nAnswer: 5, -1\/30, -3\/5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -2\/9 in 3\/2, 0.01, -0.1, 5?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve -7238*o + 7242*o - 12 = 0, -17 = -q - 4*o for q.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -21.598 - -21.629071. Round p to 3 decimal places.\nAnswer: 0.031","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 2 and 5.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let x(g) = -5*g**3 - 9*g**2 - 9*g + 9. Let w(f) = -3*f**3 - 4*f**2 - 5*f + 4. Let u(b) = -9*w(b) + 4*x(b). Find the second derivative of u(r) wrt r.\nAnswer: 42*r","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(x) = x**3 + 6*x**2 - 5*x - 21. Let m be h(-6). Suppose -8*b = -m*b + 26. Suppose -b*g = -29*g + 2553. Is g a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 4720637 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 18353906*r**2 + 15384204*r.\nAnswer: 36707812","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (1 + 4)*(6 + (-81)\/15). What is the first derivative of t - 14 - 15 + 24*v**2 + 13*v**2 wrt v?\nAnswer: 74*v","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 26623 a multiple of 337?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:45 PM and 10:09 AM?\nAnswer: 624","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.00032877 to five decimal places.\nAnswer: 0.00033","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -884*f + 903*f + 114 for f.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence cccn when four letters picked without replacement from jcnjccjcjjjccjjjj.\nAnswer: 1\/476","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 7220 and 11495?\nAnswer: 95","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1125?\nAnswer: 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:57 PM and 3:59 PM?\nAnswer: 2","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let y(r) = 2*r**2 + 3. Let q(z) = 11*z**2 + 17. Let x(o) = 6*q(o) - 34*y(o). Let k(l) = -1480*l**2 + 2*l - l + 724*l**2 + 2*l + 729*l**2. Determine k(x(p)).\nAnswer: -108*p**4 - 6*p**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 435 - 426. Let x(c) be the second derivative of c**5\/20 - 2*c**4\/3 - 2*c**3 + 11*c**2\/2 + 45*c. Give x(n).\nAnswer: -16","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 26 - 15. Let l = t - 6. Which is the closest to 1? (a) 2 (b) 2\/7 (c) l\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) -16.3 (b) -2\/27 (c) -11 (d) 2\/3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-102*m + 45571 - 45571)*(3 - 4 + 2)*(4 - 2 - 4)*(-2 + 2 + 3 + (-2 + 1 - 1)*(0 - 3 + 5)) to u + n*m and give n.\nAnswer: -204","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 693 minutes before 5:01 PM?\nAnswer: 5:28 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -5 + 30 - (-5 - -21).\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 56 and 462.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 6105?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from ljjjuljjljjwwjll. What is prob of picking 2 j and 1 w?\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is -2489 divided by 1?\nAnswer: -2489","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let y be 3 + (-12)\/6 + 1. Let o(v) be the second derivative of 1\/20*v**5 - v + 0*v**y + 1\/4*v**4 + 0*v**3 + 0. Find the third derivative of o(t) wrt t.\nAnswer: 6","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine h so that 21*h**3\/2 - 27*h**2\/2 + 3*h = 0.\nAnswer: 0, 2\/7, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 224 is divided by 38?\nAnswer: 34","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve 48 - 468 = 70*h for h.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is -331537 + -1804?\nAnswer: -333341","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) -101 (b) 0.4 (c) 2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of (4\/2 - (-760)\/133)\/((-24)\/(-112)) and 54.\nAnswer: 108","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of -67, -49, 3, 107, 281?\n\"Answer: 3*i**3 - i**2 - 69","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let i be 6\/(-4) - (-30)\/(-12). Let w = 30 + i. List the prime factors of w.\nAnswer: 2, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -1 divided by -2031568.\nAnswer: 1\/2031568","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let d(y) = 309*y - 4555. Let s be d(15). Put -70, s, -4 in ascending order.\nAnswer: -70, -4, s","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 592 minutes after 11:55 AM?\nAnswer: 9:47 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let v(h) = h**3 - 4*h**2 + 4*h - 4. Suppose -5*s = -8*f + 3*f + 95, s + 35 = 2*f. Let u = -9 + f. Suppose -22 = -5*a - u. What is v(a)?\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*h - 9 - 13 = -5*o, -h + 1 = 0. Let t = -1 - -3. Suppose -3*b - t*f = -20, -o*b - f = b - 24. Which is smaller: b or -0.1?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between -5 and -0.5142105?\nAnswer: 4.4857895","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 699816909 and 264?\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is -8 times -0.2?\nAnswer: 1.6","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 49*d + 10 = 51*d. What is the third biggest value in d, -1.8, -0.4?\nAnswer: -1.8","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*t**3 + 3765*t**2 - 276241*t - 139062.\nAnswer: -(t - 1806)*(t - 77)*(2*t + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*o = 5*o - 25435. Is o composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 91.4 - 97. Let a = 21.4 - s. Which is smaller: -1\/2 or a?\nAnswer: -1\/2","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in -124, 183.8, 2\/9, -0.04?\nAnswer: 183.8","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) -2\/35 (b) 10 (c) 0.2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let m(n) = 2*n**2 - 369*n + 7596. Determine m(161).\nAnswer: 29","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is 1564d - 2804?\nAnswer: 12c49","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is -111500 rounded to the nearest ten thousand?\nAnswer: -110000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let s(f) = f**2. Let m be 5 - 9\/(-3) - -3. Let x(z) = -2 - 8*z**2 + m*z**2 + 2. Give s(x(q)).\nAnswer: 9*q**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 11992 is divided by 93?\nAnswer: 88","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*h**5\/5 - 62*h**4\/5 + 65*h**3 - 134*h**2 + 572*h\/5 - 168\/5 = 0 for h.\nAnswer: 2\/3, 1, 2, 3, 14","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let m(o) = o**3 - 5*o**2 - 3*o - 15. Let n be m(6). What is the nearest to 1 in -5\/2, 3\/5, n?\nAnswer: 3\/5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((w**(-1\/3)*w)\/w)\/(w**3\/w)*w**(1\/7)\/(w\/w**1*w) assuming w is positive.\nAnswer: w**(-67\/21)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let g be 5382\/546*(-9)\/(27\/(-14)). Which is the smallest value? (a) 33 (b) g (c) 3 (d) -4\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(g) = -g - 25. Let b be k(-5). Let a = 1 - -27. Let s = b + a. Does 8 divide s?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 32533?\nAnswer: 32533","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is 435 - -1121112?\nAnswer: 1121551","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (i**3\/i*i**(-1\/3)*(i*i**(-3))\/i**(-6))\/((i**0*i)**(2\/135))**(-11) assuming i is positive.\nAnswer: i**(787\/135)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: 1 - 3 - 4 - (90 - (90 + 32))\nAnswer: 26","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let r(x) = 9*x**3 - x**2 + 14*x - 203. What are the prime factors of r(13)?\nAnswer: 19583","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*a = -5*y + 23, -14*a - 11*a + 2*y = 35 for a.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of -3349023, -3348987, -3348951?\n\"Answer: 36*m - 3349059","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 458 is divided by 10?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 53623 is divided by 103?\nAnswer: 63","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*d - d + 0*d)*(d**4 + d**4 - d**4) - 6*d**4 - 3*d**4 + 20*d**4 + 4*d**5.\nAnswer: 5*d**5 + 11*d**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 3\/5 of a litre in millilitres?\nAnswer: 600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -0.16 in -1, -5, -0.1?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*f + 13*z = 10*z, 2 = -2*z. Let v = -170 + 853\/5. Let p = -33 - -166\/5. Which is the fourth smallest value? (a) p (b) f (c) v (d) -1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (6\/27)\/((-3)\/(-27)). Suppose 0 = -f*y - z + 241, 0 = -2*z - 2 + 4. Calculate the highest common factor of y and 40.\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 3620 to the power of 1\/4, to the nearest integer?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*g = -15, -3*x - 34 = 5*g - 22 for x.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let f(h) = 35*h - 1394. Determine f(41).\nAnswer: 41","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Convert 10.7284 nanograms to kilograms.\nAnswer: 0.0000000000107284","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 27 - 3 = -l. Let c = 36 - 87. Let s = l - c. Is 11 a factor of s?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(j) = 8*j + 96. Let t be u(33). Suppose 3*r = -12, -2*n + 5*r = -0*r - 30. Suppose 5*v + n*w - t = 120, 0 = 3*v - 2*w - 273. What is the units digit of v?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(b) = -515*b - 10416. Determine v(-20).\nAnswer: -116","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify f\/(f**(-28)*f*f)*f\/(((f**(-7)*f)\/f)\/f) assuming f is positive.\nAnswer: f**36","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (2\/24)\/((-1)\/(-3))*(3 + 61).\nAnswer: 16","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*c = 2*u - 5 - 1, u + 4*c = 3. Suppose -5 - 5 = -5*x. Let d(i) = -38*i**2 + 81*i**2 - 4*i - 1 - 40*i**x. Calculate d(u).\nAnswer: 14","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*y - 4 = 36. Let f = y - 7. Let v(g) = -g**2 + 3. Give v(f).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of 1449, 1451, 1453, 1455, 1457, 1459?\n\"Answer: 2*i + 1447","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve -8340*g - 252 = -8368*g for g.\nAnswer: 9","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let h(z) = -2*z**2 + 1. Let v be h(-1). Let a(r) = -3*r**3 - 2*r**2 + r + 2. Let t be a(v). Let s be (12\/21)\/(t\/(-7)). Let k(b) = 4*b. Calculate k(s).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -2*(5 + (sqrt(539)*2*-4)**2*1).\nAnswer: -69002","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 17347\/18 - 1927\/2. Let i(f) be the first derivative of -4\/3*f**2 + 8\/3*f + y*f**3 + 2. Factor i(l).\nAnswer: 2*(l - 2)**2\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -7 + 17. Suppose -3*w + 2 + d = 0. Suppose w*t = -2*m - m + 124, -40 = -m - 2*t. Is m a multiple of 11?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(b) = 13*b**2 - b - 1. What is l(-1)?\nAnswer: 13","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let q(r) = 160*r**3 + 13348*r**2 + 18656*r + 5328. Let f(u) = 188*u**3 + 13348*u**2 + 18656*u + 5328. Let h(w) = -5*f(w) + 6*q(w). Factor h(c).\nAnswer: 4*(c + 1)*(c + 666)*(5*c + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(g) = -g**2 - 1. Let l(d) = 2*d**2 + 5*d + 4. Let q(u) = l(u) + 3*t(u). Let n be q(4). What is the second derivative of 10*j - 5*j**n - 7*j + 8*j**5 wrt j?\nAnswer: 60*j**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(a) = 214*a - 25. Let m = 23 + -17. Is n(m) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -10, 581, -7, 4 in descending order.\nAnswer: 581, 4, -7, -10","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4 = -3*b + 5*b. Let m(x) = -7*x - 3. Let p = -1 + 1. Let o be m(p). Sort 10, b, o in ascending order.\nAnswer: o, b, 10","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(a) = a**2 - 11*a - 74. Calculate the smallest common multiple of g(-5) and 60.\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 7 divide 17337?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*k + 3*n - 2*n + 25, 2*k + 5 = -3*n. Suppose k*a - 47345 = -12*a. Is a composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-f + f + f)*(2 - 2 - 2*f) + 426*f**2 - 290*f**2 - 659*f**2.\nAnswer: -525*f**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: -0.0594*112707\nAnswer: -6694.7958","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 4690.1033 rounded to the nearest 10?\nAnswer: 4690","meta":{"dup_signals":{},"source":"numbers__round_number_test"},"subset":"dm_maths"} +{"text":"Question: Put 0.22, 0.3, 1.06, 3\/8 in decreasing order.\nAnswer: 1.06, 3\/8, 0.3, 0.22","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 28248?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -270 + 252. Let k(s) = 3*s**2 + 29*s + 80. Is 32 a factor of k(j)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 33049136*p*s**3*w + 6387*p*s**3 - p*s**2*w**2 + p*s - p + 3*s**3 - 215*s**2 - s wrt w?\nAnswer: 33049136*p*s**3 - 2*p*s**2*w","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*s - s + 12. Let r be 5*(2 - 56\/20). Let z be r\/3*(s - -3). Solve -z*h = -5*d + h, 4*d - h + 12 = 0 for d.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -3 + 3 - 1326*c - 253*c + 797*c as y*c + j and give j.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 2780900 rounded to the nearest 1000000?\nAnswer: 3000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 1\/4 of a litre in millilitres?\nAnswer: 250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 3540?\nAnswer: 2, 3, 5, 59","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let k(s) = s**2 - s + 2. Let n be k(-3). Let g = 72 - 61. Let z = n - g. Solve f = z + 1 for f.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(r) = -6*r**2. Let b(z) = -663*z**2. Give b(d(s)).\nAnswer: -23868*s**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 4.801 + -0.911. Round y to the nearest integer.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 449724016?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let z(u) = u + 15. Suppose 0 = 33*w - 37*w - 44. Calculate z(w).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4129*u - 4*m = 4131*u + 28, 5*u + 25 = -m for u.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let b(m) = m**3 - 39*m**2 - 83*m + 45. Suppose -92 = -h - 3*h. Calculate the remainder when h is divided by b(41).\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 638974*z - 319480*z - 319498*z.\nAnswer: -4*z","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of 33, 667, 1951, 3891, 6493, 9763?\n\"Answer: b**3 + 319*b**2 - 330*b + 43","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let p be 1 + (-4)\/2 - -1. Suppose -3*a - 3*a + 30 = 0. Solve p = j - a*n - 7, j + 2*n = -3*n - 3 for j.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (((-6)\/4)\/1)\/(((-51480)\/(-6960))\/143)?\nAnswer: -29","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (2*z + 0*z + 0*z)*(-792 - 67 + 24 - 542 + 111) to the form t*z + d and give d.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let p(j) = 22*j - 5. Calculate p(2).\nAnswer: 39","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1307 is divided by 115?\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 132*o**3 + 3*o - 130*o**3 + 5*o wrt o?\nAnswer: 12*o","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 5131 divide 2196324550?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve -70*f + 20*f = 1650 for f.\nAnswer: -33","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from qpejqwie. What is prob of sequence jqw?\nAnswer: 1\/168","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let f be 2\/(-2)*(0 + 0). Let l be (-12)\/4 + (-17420 - f). Let j = l + 4523. Round j to the nearest one thousand.\nAnswer: -13000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -10 = 2*m + 4*f, 3*f - 20 = 4*m + 6*f. Sort -10, m, 4, 5 in increasing order.\nAnswer: -10, m, 4, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 7245 and 322?\nAnswer: 161","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 40462721 and 1313.\nAnswer: 1313","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let j(v) = v**3 + v - 1. Let m be 2\/16 + 306\/(-144). Let z(q) = 4*q**3 + 3*q - 3. Give m*z(n) + 6*j(n).\nAnswer: -2*n**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -467, -481, -493, -503, -511, -517, -521?\nAnswer: -523","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 31825440 divided by 795.\nAnswer: 40032","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: 367356 divided by -183678\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Express 8*k + 13 - 2 - 9 - 4*k**2 + 8*k**3 + 4*k**2 as b + h*k**2 + v*k + t*k**3 and give h.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 46536 divided by -1662.\nAnswer: -28","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Expand 17 - 6*u - 17 + (0*u + 0*u - 2*u)*(3 + 0 - 5)*(-2 + 1 + 4).\nAnswer: 6*u","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -8359576 divided by -14488.\nAnswer: 577","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from hhbbbbbrh. Give prob of sequence bh.\nAnswer: 5\/24","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let z(r) be the first derivative of r - 1\/4*r**4 - 1 - 4\/3*r**3 + r**2. Suppose -t = -2*m - 4*t + 4, 32 = -5*m + 3*t. Give z(m).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:36 PM and 7:59 PM?\nAnswer: 203","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is 213315 a multiple of 25?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 0.7333 and 17.\nAnswer: 12.4661","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 5 - -4. Suppose q = -5*t + 28, 0*q = -q + 3. What is the remainder when o is divided by t?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 8 - ((-3 + -2)*2 + -28738)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d be -7*11\/((-77)\/96). Let p be ((-48)\/(-10))\/(168\/2240). Calculate the greatest common factor of p and d.\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -8 + (8 + -1 - 3)?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 1621815324 to the nearest integer?\nAnswer: 1175","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from mzvhvzvlhlvhvhv. What is prob of sequence lz?\nAnswer: 2\/105","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Expand j**2 + 9*j**3 - 36*j - 2*j**4 + 36*j + (3 + j - 3)*(3*j - j**3 - 3*j).\nAnswer: -3*j**4 + 9*j**3 + j**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 572 minutes after 11:24 AM?\nAnswer: 8:56 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let o(v) = -v**3 - 26*v**2 + 28*v + 41. Let q be o(-27). Solve -3*w + 73*g = 71*g - q, w - 2*g - 6 = 0 for w.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -32.44 + 34.351. Let v = s - -0.089. Which is the smallest value? (a) 4\/7 (b) v (c) -0.4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 8 a factor of 1824?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -238*l**3*y**2 - 2*l*y**2 - 12*l*y wrt l?\nAnswer: -1428*l*y**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let l(f) = 4*f**2 + f - 4. Let h(n) = -2*n**2 + 2. Let i = -1 - -3. Suppose -p = -k - i, 0*k + 5*p + 10 = -5*k. Let u = -10 + 5. Calculate k*l(j) + u*h(j).\nAnswer: 2*j**2 - 2*j - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve x + 0*x + 4*b - 23 = 4*x, 4*x + 5*b = -41 for x.\nAnswer: -9","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let l(j) = 23*j**2 + 27*j - 60. Calculate l(2).\nAnswer: 86","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -240 + 213. Let j be 215\/(-45) - (-6)\/c - -7. Solve 3 + 5 = -j*v for v.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(t) = 2*t**3 + 189*t**2 + 95*t + 18016. Determine u(-95).\nAnswer: -34","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let j(i) = 10*i - 10. Let r(g) = 3*g - 3. Calculate -4*j(s) + 14*r(s).\nAnswer: 2*s - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(77) + -2*-1*sqrt(77) + sqrt(77) + sqrt(77) + sqrt(77))*1*2)\/(-3*sqrt(847)*-1*1).\nAnswer: 4*sqrt(11)\/11","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) -57.8 (b) 1\/4 (c) 1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 153330*j**2 - 51*j**3 + 153338*j**2 + 53*j**3 - 306668*j**2.\nAnswer: 2*j**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Sort 53\/10, 1\/4, 0.\nAnswer: 0, 1\/4, 53\/10","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 3*d**3 + 25335*d**2 - 25335*d**2.\nAnswer: 3*d**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of (-1905*20\/(-90) + 4)*(0 + 45)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -b + 5*q - 84 = 0, -4*q = -b - q - 84. List the prime factors of (b\/(-30))\/((-3)\/(-75)).\nAnswer: 2, 5, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 3564689928 to the power of 1\/2, to the nearest integer?\nAnswer: 59705","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -103098, -103097, -103100, -103107, -103118?\nAnswer: -103133","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let 3*d**4\/4 + 624*d**3 + 268119*d**2\/2 + 1764426*d + 6523959\/4 = 0. What is d?\nAnswer: -409, -13, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -x = z - 8, 0 = -3*x - 7*z + 2*z + 34. Factor -3*j**x - 3*j**4 - 6*j**2 - 4*j**3 - 2*j**3.\nAnswer: -3*j**2*(j + 1)*(j + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -46 + 48. Let l be d - 3 - 5\/(-8). Which is the nearest to 0? (a) -1\/4 (b) l (c) -0.2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(b) = b**3 + b**2 - 5*b + 3. Suppose 2*o - 3*o = -n + 5, -15 = -4*o - 3*n. Let v be -4*-2*1\/4 - o. Suppose -v = 2*x, 6*x = -2*r + 2*x + 2. What is p(r)?\nAnswer: 24","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 627*t**4 + 2 + 4 - 2*t - 613*t**4 wrt t.\nAnswer: 56*t**3 - 2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 15\/4 + -9\/2. Which is the third smallest value? (a) -2 (b) y (c) 3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(y) = 10*y**3 + 10*y - 16. What is d(-3)?\nAnswer: -316","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -0.1 + 0.10048. What is c rounded to 4 decimal places?\nAnswer: 0.0005","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 78101926 is divided by 398.\nAnswer: 396","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.000000816019 rounded to 7 decimal places?\nAnswer: -0.0000008","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve -21*v - 654 + 507 = 0 for v.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*m + 32 = -2*m. Let n = 8481 - 8465. What is the highest common factor of m and n?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) 5\/3 (b) -2\/13 (c) 7 (d) -13 (e) -4 (f) -1\/11 (g) 31\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.9047279 weeks in microseconds?\nAnswer: 547179433920","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -69 = 3*r + 504. Which is bigger: -190 or r?\nAnswer: -190","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -5539 at most 3?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Expand (1 + 2 - 2)*(4*y + 6*y + 2*y)*(-2*y**2 - 3*y + 3*y).\nAnswer: -24*y**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 1930 and 732628.\nAnswer: 3663140","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 10 = 2*a, 5*a + 0*a = -2*c + 31. Suppose -5*l = 2*p + p - 19, -p = c*l - 1. Put -4, -1, p in descending order.\nAnswer: p, -1, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 0.823309 nanograms to tonnes.\nAnswer: 0.000000000000000823309","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Expand (5*a**3 + 5*a**3 - 5*a**3)*(-a - a + a) - a + a - a**4.\nAnswer: -6*a**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) 13561 (b) 5 (c) -2\/11 (d) -5\/9 (e) -0.3 (f) -2 (g) 0\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-84)\/(-32))\/(99\/528)?\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -6*((1*sqrt(13))**2*-3 + sqrt(13) - sqrt(13))*1.\nAnswer: 234","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (q*q**(6\/5)*q*q**5\/q)\/(q**(-3\/10)*q**(3\/2))*((q**(1\/2))**43)**17 assuming q is positive.\nAnswer: q**(743\/2)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 519, 1033, 1547, 2061, 2575?\nAnswer: 3089","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-y + 2*y + y)*(-y - y + 6*y) + (0*y + y - 3*y)*(y - 8*y + 2*y) to the form k*y**2 + w*y + i and give k.\nAnswer: 18","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*x - 3*k - 2*k - 854, -1298 = -3*x - k. Suppose v + x = 9*v. What is the highest common divisor of v and 9?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between 8.739105 and -11672.9?\nAnswer: 11681.639105","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Sort 4.3, 0, -1.\nAnswer: -1, 0, 4.3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is 5 - -33850?\nAnswer: 33855","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let o be -3*(22\/6 - 3). Let j(w) = -w**2 - 2*w + 1. Let b be j(2). Let a = o - b. Solve -z + 12 = -a*z for z.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-6)\/(-5)*330\/(-44)\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (-2)\/(-7) + -11 + (-1050)\/(-98). Let v = 1 - 1. Suppose v = -l - 4, s = 2*a - l + 2*l - 6. Solve 4*k = -a*z - 1, 3*k - 6*k - z + 2 = 0 for k.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(l) = -2 - 7 + 5 + 2*l. Let c be i(4). Suppose c*o + 17 = 5*q, 2*q + 10 = -3*o - o. Calculate the greatest common factor of 7 and q.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(a) = 8*a**2 - a - 6. Let s = -111 - -113. Is f(s) a multiple of 12?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Add 0.05 and -4.55002.\nAnswer: -4.50002","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is -1051 - -2?\nAnswer: -104b","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -12 + 2 = -2*r. Suppose 0 = -r*o + 152 + 8. Is o a multiple of 16?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 4 - 298*g - 506*g - 297*g + 186*g - 3 as b + p*g and give p.\nAnswer: -915","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 6 + -3. Let a be 7\/2 - (7 + (-55)\/10). Suppose 5*m - 13 = 2*z, 0 = -5*z + u*m - a*m + 25. What is the highest common factor of z and 30?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 950 + -943. Suppose -q*z + 300 + 456 = 0. Solve -2*a - 110 + z = 0 for a.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 227 is divided by 23?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 3898 + -3595. Calculate the remainder when j is divided by (-12)\/10*(-110)\/3.\nAnswer: 39","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -924433, -924439, -924457, -924493, -924553, -924643, -924769, -924937?\nAnswer: -925153","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let w(n) = 7*n. Let b(f) = -4487*f. Give b(w(i)).\nAnswer: -31409*i","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 6685?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Add together -3654 and 0.3.\nAnswer: -3653.7","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: 27229 * -1\nAnswer: -27229","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: 11693 times 0.1114\nAnswer: 1302.6002","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -0.24565 - -0.04565. Let z = 0.09 - 3.59. Let l = z - -3. Which is the closest to 2\/5? (a) i (b) l (c) 0.2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 125 - 120. Suppose -23 + 33 = j*v. Solve -5*u = v*o + 21, 4*o - 5*u + 2 = 5 for o.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 41441 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 68\/(-2)*(0 - 66\/12)?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(g) = -11*g**2 + 3*g - 1. Calculate z(2).\nAnswer: -39","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -21 = -6*k + 3. Find the third derivative of 6*a**2 - k*a + 10*a**3 + 4*a - 4*a**2 wrt a.\nAnswer: 60","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 124311 to the power of 1\/3, to the nearest integer?\nAnswer: 50","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 64522843*z**5 - 2876*z + 10153?\nAnswer: 1290456860*z**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -17186 - 8076. Let b = -6218 + r. Round b to the nearest 10000.\nAnswer: -30000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {p: 2, o: 1, r: 1, l: 1, j: 1, t: 1}. Give prob of sequence jr.\nAnswer: 1\/42","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0.4? (a) -0.11 (b) -8\/7 (c) 1 (d) 6 (e) -63\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-53 - -41) + (2 - (1 + 0))?\nAnswer: -11","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -355 - -355.1. Let k = -0.9 - x. Let z = 0.1 + -0.3. Which is the closest to 2\/7? (a) z (b) k (c) 4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 0*v**4 - 7*v**4 - 13*v**4 + 0*v**4 + 4*v**4 - v**4 + (-v**3 - v**3 + 0*v**3)*(-2*v + 2*v + v).\nAnswer: -19*v**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -118 + 121. Solve 0 = 5*y + 7 + a for y.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 21 and 35.\nAnswer: 105","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -64 divided by -32.\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let m(l) be the second derivative of l**3\/2 + 27*l**2\/2 - 15*l. Let w be m(-9). Let q be (3\/(-2))\/(6\/5). Does q = w?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 222282? (a) -3 (b) -225 (c) 0 (d) -1\/4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let p(t) be the first derivative of 1\/3*t**3 + 4*t**4 + 37 - 33*t**2 + 0*t. Find the second derivative of p(d) wrt d.\nAnswer: 96*d + 2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -l = -0*l + 2 for l.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -34.6506 - -0.6786. Let t = k + 34. Let r = 0.02799768 - t. Round r to seven dps.\nAnswer: -0.0000023","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between 0.5315 and 0.033438372?\nAnswer: 0.498061628","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -14.9 + 1.9. Let a = -0.0736 + 427.0736. Let n = a - 426.9. Is y less than or equal to n?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -112 - -106.7. Let t = d + 7.3. What is the nearest to 1\/6 in 2\/9, 1\/7, t?\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {k: 9, u: 1, m: 6, p: 3}. Give prob of picking 1 m, 1 p, and 1 u.\nAnswer: 6\/323","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 56 minutes after 6:04 AM?\nAnswer: 7:00 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -2.58 + 0.08. Let w = z + 2.09. Let n = w - -0.01. Which is the closest to 1\/3? (a) 0.4 (b) n (c) -1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 20064 = 334911*x - 334702*x for x.\nAnswer: 96","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:24 PM and 11:27 PM?\nAnswer: 303","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 4 w when four letters picked without replacement from wgwgwgwgwwgww.\nAnswer: 14\/143","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 19838 and 42?\nAnswer: 59514","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*g - h + 17, 393*g + 5*h = 397*g + 13. Let w(x) = x**3 + 5*x**2 + 4*x + 4. Let k be w(-3). Solve v = -5*u + 10, -k = -5*u - v + g*v for u.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 33284419 to the nearest integer?\nAnswer: 322","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 1\/30 of a century in months?\nAnswer: 40","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let c(z) = 3*z**2. Let x(d) = 3*d**2 + 248*d + 1. Determine x(c(r)).\nAnswer: 27*r**4 + 744*r**2 + 1","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 5.536335 + 9.663654. Let z = -15.2 + n. What is z rounded to six decimal places?\nAnswer: -0.000011","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 113280 a multiple of 128?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-70 - 51 - 209 - 43)*(-6*f - 3*f + 4*f)*(5 + 2 - 4) to the form a + k*f and give k.\nAnswer: 5595","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3*i**2 + i**2 - 3*i**2 + (0*i - 2*i + 0*i)*(0*i + 5*i - 6*i))*(9*i + 6*i - 19*i) + 4*i**3 + 13*i**3 + 7*i**3.\nAnswer: 12*i**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 100 and 32?\nAnswer: 800","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 1288 and 7168.\nAnswer: 56","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*x + 15 + 5 = 0 for x.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*f + 0*m = -5*m - 21, 5*m - 27 = 4*f. Let h be (-18)\/f + 6\/(-24). Find the common denominator of -4 + h + (-69)\/(-6) and -57\/10.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*t - 3*i = -224, -408 = -4*t - 98*i + 97*i. Calculate the highest common factor of 32300 and t.\nAnswer: 100","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 143 - 146 - (-3 - (-1 - ((-1 - -3) + -34))).\nAnswer: 31","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 p, 1 w, and 1 k when three letters picked without replacement from mpwwwpwwmwkw?\nAnswer: 7\/110","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let d(b) = -9*b - 8. Let y(w) = -36*w - 35. Calculate -9*d(o) + 2*y(o).\nAnswer: 9*o + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) 1781 (b) 2\/9 (c) 0.2 (d) 0.07\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve -6*u + 406*x = -5*u - 5*u + 405*x + 9, 0 = -3*x + 3 for u.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let m(y) = -y**2 + 7*y + 784. What is m(-36)?\nAnswer: -764","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((v**(-2\/9)*v)**(-49)*(v**(-1))**6)**31 assuming v is positive.\nAnswer: v**(-12307\/9)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -79 + 80. Suppose -64 + l = z. Let h = z - -210. What is the highest common divisor of h and 21?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred millions digit of 151712063?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*w + 7 = -2*o - w, 2*w = -3*o + 7. Let m(n) = -39*n**3 - 125*n**3 - 2*n**2 + 3 - 5*n + 7*n. What is the hundreds digit of m(o)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -1*(0 + sqrt(320)) - 5*(-1 + sqrt(320)).\nAnswer: -48*sqrt(5) + 5","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*l = 2*y + 2, -5*l - 22 = -2*y - y. What is the second derivative of 2*v**5 + 29*v**4 + 3*v**5 + 20*v - 11*v**y - 6*v**5 wrt v?\nAnswer: -20*v**3 + 216*v**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*j - 4*j - j)*(-2 + 2 + j) - 2*j**2 + 3*j - 3*j + (-8*j + 296*j - 46*j)*(3*j + 3*j - 5*j + (-j - j + 0*j)*(-2 + 1 + 0)).\nAnswer: 721*j**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is -1136c5b + 1?\nAnswer: -1136c5a","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is 21705781243 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -23*a - 36*a + 54*a - 3*a + 2*a + 0 - 13.\nAnswer: -6*a - 13","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {s: 1, g: 1, y: 1, o: 2, b: 1, r: 2}. Give prob of sequence sgro.\nAnswer: 1\/420","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let k(c) = c**3 + 4*c**2 + 3*c + 3. Suppose -2*w + 1 = 7. Let j be k(w). Suppose i = 16 + j. Is i prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -1 in -2\/39, 5, -3, 3?\nAnswer: -2\/39","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.00000723 to six decimal places.\nAnswer: 0.000007","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Expand (g - 3 + 1 - 2*g)*(-4*g**3 + 2*g**3 + 0*g**3) + (4*g**2 - 6*g**2 + 4*g**2)*(-2*g**2 + 0 + 0).\nAnswer: -2*g**4 + 4*g**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange q**3 - 81 + 82 - 2*q**2 - 736*q**4 + 2*q + 697*q**4 to the form r + u*q**3 + l*q**2 + c*q**4 + s*q and give c.\nAnswer: -39","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let w(j) = 5*j - 15. Let t be w(3). Let a be 1\/(-2)*0 - -10. Let g = a + -7. Solve p + g + 0 = t for p.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-20)\/16)\/(((-2)\/2)\/4).\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 147 - 91. Let k be (4 + 81\/6)*(-216)\/(-45). Calculate the greatest common factor of k and i.\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 1206514*g**5 + 2*g**3 + 256933*g?\nAnswer: 24130280*g**3 + 12*g","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: -7 (base 13) to base 10\nAnswer: -7","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Round -6896000 to the nearest one million.\nAnswer: -7000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: -7a9c38 (base 13) to base 10\nAnswer: -2906509","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let b(i) = 28*i**2 - 11*i. Let n(t) = -29*t**2 + 9*t. Calculate -2*b(f) - 3*n(f).\nAnswer: 31*f**2 - 5*f","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let f(a) = -13446*a**2 + 26938*a**2 - 13491*a**2. Let d(t) = 4*t + t**2 + 2*t**2 + 0*t - 8*t**2. Determine d(f(r)).\nAnswer: -5*r**4 + 4*r**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let k be ((-33)\/9 - -4)*-3. Let l be k*(-4)\/3*(2 + 1). Suppose m = l*m - 411. What are the prime factors of m?\nAnswer: 137","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -15, -157, -269, -327, -307, -185?\nAnswer: 63","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let z(w) = 2*w**2 + 55*w + 108. Does 102 divide z(40)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 23 - 19. Let c be -2*1\/20*-6. Let y = -0.09 + 0.19. What is the third biggest value in o, c, y?\nAnswer: y","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(o) = o**2 - 1 + 20*o + 14*o - 29*o. Give n(-5).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -7 in 2\/9, 36, 2166, 2\/5, 0.1?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 55650 and 60.\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is (-45)\/(-45)*2040\/(-102)?\nAnswer: -20","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 5*l - 5*q + 10 - 15, 4*l + 5 = q for l.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 103642?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -52942, -52938, -52938, -52942, -52950, -52962, -52978?\nAnswer: -52998","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 837 is divided by 258?\nAnswer: 63","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Put -3\/7, 1\/6, -4, -2 in ascending order.\nAnswer: -4, -2, -3\/7, 1\/6","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 o and 1 j when two letters picked without replacement from ydjybjjdoddjjojd?\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is 8 a factor of 476?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 133 + -131. What is the derivative of -1 + 28 + 17 + 42*k**p wrt k?\nAnswer: 84*k","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4 = -c + 4. Put 1, c, 7 in decreasing order.\nAnswer: 7, 1, c","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 297*m + 7128, 3*v + 2*v - 4*m + 52 = -7*m for v.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -13 - (-10 + 9 - (3 - 2)) - -4.\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*r = 5*u + 2, 0*r = -5*u + r - 4 for u.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let t(g) be the second derivative of -247*g**5\/10 - 91*g**3\/6 - 91*g**2\/2 - 3*g + 10. Let n(z) = 11*z**3 + 2*z + 2. Calculate -91*n(u) - 2*t(u).\nAnswer: -13*u**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of 106, 75, -6, -161, -414, -789?\n\"Answer: -4*g**3 - g**2 + 111","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 148420?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -1.5 + 5.5. Which is the biggest value? (a) -10 (b) 2 (c) r\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Are -6932598 and -6932568 equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let d(j) = -5*j - 2. Let s(g) = g**2 + 2*g + 3. Let u be s(0). Let l(h) = 2*h + 1. What is u*d(w) + 7*l(w)?\nAnswer: -w + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve 65*w - 145 = 440 + 65 for w.\nAnswer: 10","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let r(b) = 6*b**2 - 16*b + 80. Let q be r(15). Let z = 658 - q. Round z to the nearest 10.\nAnswer: -530","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 39691, 26, -29 in increasing order.\nAnswer: -29, 26, 39691","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.00004197953 to 7 decimal places.\nAnswer: 0.000042","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in -7, -0.5, 2, 2565?\nAnswer: -7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 137\/576 and -19\/360?\nAnswer: 2880","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 83, 140, 247, 410, 635, 928, 1295?\nAnswer: 1742","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let f(t) = t - 25. Let h be f(28). Suppose -14*z + 18*z - 2632 = -2*l, 2*z + 3980 = h*l. What is the thousands digit of l?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(x) = 39*x + 23. Let p(r) = 46*r + 24. Let z(i) = -5*g(i) + 4*p(i). Calculate z(-7).\nAnswer: 58","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 94.7 + -89.7. What is the nearest to 1\/2 in 0.12, -0.3, -0.1, j?\nAnswer: 0.12","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {v: 6, u: 4, a: 7}. What is prob of sequence avaa?\nAnswer: 3\/136","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -13 + 48. Suppose q + 42 = 5*r + 3*q, -5*q = -5*r + b. Calculate the greatest common divisor of r and 1.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.000014651366 rounded to six dps?\nAnswer: 0.000015","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (9\/6)\/(((-3)\/(-40))\/((-14)\/308))?\nAnswer: -10\/11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 3650612355?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let o(b) = -3*b + 3. Give o(3).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let z(j) = -4*j + 20. Let v be z(4). Solve 2*b - b = -2*d + 7, -4*b - 20 = -v*d for b.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*w + 5*g - 4, -4*w + 5*g + 2 = -0*w. Let x(b) = -1 - 2*b - b**2 + b**2 - b**2 - 3*b**w - 13*b**3. Is x(-2) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 4 p when four letters picked without replacement from {t: 3, n: 4, p: 6}.\nAnswer: 3\/143","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -33\/9809 and 155\/1428?\nAnswer: 823956","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*o**3 + 117*o**2 + 243*o + 123 = 0.\nAnswer: -1, 41","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*b = -4*w + 16, 0*w = 2*w + 4*b - 18 for w.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 5 + -16. Let o = -1 - c. Let g(l) = -l**2 + l + 9. Calculate the least common multiple of g(0) and o.\nAnswer: 90","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -194640000 rounded to the nearest 1000000?\nAnswer: -195000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -7*u - 5888 - 15665. Round u to the nearest 1000.\nAnswer: -3000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: ((-38)\/((-6)\/18*6))\/((51\/17)\/3)\nAnswer: 19","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -18 + 8 = 5*r. Let l(z) = z**3 - z**2 + 1. Let y be l(0). Which is the closest to y? (a) r (b) -1 (c) 5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 3918*p - 3918*p + 2*p**4 + 1 + p**3 - 10*p**2 to the form a + r*p**2 + l*p + t*p**3 + z*p**4 and give t.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 34 + -87. Let t = a + 49. Let b = -4 + 1. What is the third biggest value in t, 1\/3, b?\nAnswer: t","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 19097.\nAnswer: 13, 113","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 10 (base 3) in base 11?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {z: 4, l: 6, m: 4}. Give prob of picking 1 z and 1 m.\nAnswer: 16\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*c - 3*o = -65, -2*c - 6*o + 2*o - 44 = 0. Let u = -26 - c. Let t be (u\/5)\/((-9)\/(-90)). Solve 24 = -t*g + 8 for g.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 z when two letters picked without replacement from zzzzzzzadzozfow.\nAnswer: 12\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 3831822?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 667 minutes after 5:13 AM?\nAnswer: 4:20 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 66707786?\nAnswer: 2, 4339, 7687","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve 494*h - 23 = 2*d + 489*h, 0 = d + 4*h - 8 for d.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -8 - 8. Let k(z) = z**3 + 16*z**2 - 2*z - 18. Let u be k(j). What is the second derivative of 2*s**3 + 9*s - 3*s - u*s**3 wrt s?\nAnswer: -72*s","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(m) = 8945*m - 1216554. What is d(136)?\nAnswer: -34","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 374 minutes before 10:20 PM?\nAnswer: 4:06 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: 729\/(-2187)*(183 - -2 - -1)\nAnswer: -62","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -680562, -680552, -680542?\nAnswer: -680532","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*i - 155 = -3*i. What is the units digit of i?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 1228 - -3616. List the prime factors of y.\nAnswer: 2, 7, 173","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -3? (a) 0.04 (b) 3235 (c) -0.9 (d) 5 (e) -3\/4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Divide 0 by 53.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 5 - 3. Suppose m*v - 3 = -v. Let c = 4 + -2. What is the least common multiple of v and c?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -2, 90, -3, -26 in ascending order.\nAnswer: -26, -3, -2, 90","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: How many months are there in 3\/40 of a decade?\nAnswer: 9","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let n(i) = i**3 + 3*i**2 - 13*i - 6. Let w be n(-5). Suppose 6*s + 135 = w*s. Is 6 a factor of s?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*c + 7 = -17. Suppose -2*u + 40 = -6. Calculate the remainder when u is divided by c.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 12*p - 37*p + 125 = 0 for p.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let d(l) be the first derivative of -58*l**5\/5 - 4*l**3\/3 + 1049*l**2 - 1905. What is the second derivative of d(q) wrt q?\nAnswer: -696*q**2 - 8","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -x - 31 = 3*p, -p + 3*x - 61 = 4*p. Let o(l) = -37*l + 33. Let r be o(p). Calculate the greatest common factor of 40 and r.\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(b) = -3*b**3 - 4*b**2 - 2*b + 2. Let c(x) = -x**3 - x**2 - x + 1. Let r(z) = -6*c(z) + 3*q(z). What is the third derivative of r(u) wrt u?\nAnswer: -18","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 22 = -5*p + 2. Let u be ((-33)\/12 - -2)*p. Let s be ((-6)\/(-8))\/(987\/658) + 7\/(-2). Put -4, -5, s, u in ascending order.\nAnswer: -5, -4, s, u","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine z so that z**4\/4 + 6*z**3 + 111*z**2\/4 - 34*z = 0.\nAnswer: -17, -8, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -12 - -27. Suppose 4*u - u - i = 0. Suppose 0 = 3*x - x - 18. Calculate the smallest common multiple of x and u.\nAnswer: 45","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-1*(-4*2 - (-5 - 0)))\/((-1972)\/928)\nAnswer: -24\/17","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is -1d7a9 - -18a?\nAnswer: -1d61d","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7 = -2*i + 13, 0 = 2*l + 2*i - 6258. Let f = l - -1763. Is f a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_test"},"subset":"dm_maths"} +{"text":"Question: Is 56237089 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -13 - -17. Let g = 1493 + -1493. Let n(k) = -k - 1. Let x be n(-2). Sort z, g, -4, x in ascending order.\nAnswer: -4, g, x, z","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(c) = -16*c**4 - 10*c**3 + 8*c**2 - 2*c. Let p(j) = -j**4 - j**3 + j. Let y(d) = 2*i(d) - 28*p(d). Factor y(a).\nAnswer: -4*a*(a - 2)**2*(a + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 17, 32, 47, 62, 77, 92?\nAnswer: 107","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -141*(-10)\/(-50)*(-875)\/525.\nAnswer: 47","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 6*(sqrt(288) + -1) + ((-2 + (sqrt(2) - (0 + sqrt(2))))**2 - sqrt(22)\/(-1*sqrt(11))).\nAnswer: -2 + 73*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -s + 5*s - 56. Let c = 10 - s. Let l = c - -6. Solve 0 = -r - l*v - 4, -r - v = -4*v - 6 for r.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3*p**2 - 12*p**2 - p**2)*(6 - 6 - 9*p).\nAnswer: 90*p**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is -333f3 + 93?\nAnswer: -33360","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from tttytyt. Give prob of sequence tttt.\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Determine j so that j**3\/6 - 19*j**2 + 1083*j\/2 = 0.\nAnswer: 0, 57","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 8 - 11. Suppose -3*l - x = -0*x + 10, -l + 3*x + 10 = 0. Sort 0, l, v.\nAnswer: v, l, 0","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 0.6756 - -29.3244. What is the closest to 11 in g, -1\/6, 3?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {b: 2, d: 1, k: 2, n: 1, v: 2}. What is prob of sequence nkk?\nAnswer: 1\/168","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -112 + 4*x + 21*x + 113 + 6*x - 2*x + x**2 to t*x + k*x**2 + v and give v.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (-1 - -2)\/(-1) + 3. Solve -i + y*i - 2 = 0 for i.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(o) = 255717*o + 5. Let p(k) = 511433*k + 11. Suppose -2*x = 3*x + 20. Let w(n) = x*p(n) + 7*y(n). Let g be w(7). Round g to the nearest 100000.\nAnswer: -1800000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(x) = -2*x**2 - 2*x + 4. Let u be o(1). Solve -5*v = z - 2, u = 4*z - 3*z + 4*v - 2 for z.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence yydy when four letters picked without replacement from yydyydyyyy.\nAnswer: 2\/15","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -703802085 divided by -2469481.\nAnswer: 285","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Factor 4*u**3 - 148*u**2 - 480*u.\nAnswer: 4*u*(u - 40)*(u + 3)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 147496647.\nAnswer: 3, 49165549","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*t - 2 + 10 = 0. Suppose 2*a = 8 - t. Let n be (-18)\/(-15) - a\/15. What is the greatest common factor of 11 and n?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(t) = -245*t**2 + 6*t + 19. Let s(v) = -245*v**2 + 5*v + 16. Let h(z) = -5*m(z) + 6*s(z). Let l(f) = f. What is h(l(p))?\nAnswer: -245*p**2 + 1","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -77*g - 30*g + 856 = 0. Solve -g*i + 35 = 19 for i.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((x\/(x\/(x\/(x*x\/x**(-4))*x)*x))**45)**(-4\/11) assuming x is positive.\nAnswer: x**(900\/11)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let i(o) = 6*o + 19. Let s(k) = 3*k + 10. What is 3*i(l) - 5*s(l)?\nAnswer: 3*l + 7","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {k: 5, b: 3}. Give prob of picking 2 b.\nAnswer: 3\/28","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let b be ((-11)\/(-22))\/(3\/6). Let c be ((-34)\/(-4)*b)\/(1\/(-38)). Round c to the nearest 10.\nAnswer: -320","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1004660 is divided by 10?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 135 and 14067.\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((t\/(t\/(t*t**(5\/2))))\/t**(-34))**(-6\/13) assuming t is positive.\nAnswer: t**(-225\/13)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 362 and 12?\nAnswer: 2172","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when ((-244)\/6)\/(2\/(-3)) is divided by 17.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -0.05 + 1.05. Sort 2, -2\/7, k, -5 in descending order.\nAnswer: 2, k, -2\/7, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is -1023200222 - 3?\nAnswer: -1023200231","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*i**2 - 1832*i + 209764 = 0. What is i?\nAnswer: 229","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let g(t) = t**3 + 41*t - 41*t - 5*t**2. Let m(p) = -2*p**3 + 8*p**2. Suppose 4*r - r + 25 = -5*f, -3*r + 5*f - 5 = 0. What is r*m(h) - 8*g(h)?\nAnswer: 2*h**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 69497\/10151 or 7?\nAnswer: 69497\/10151","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-6 + 5 + 3)*(i**2 + i**2 + 2*i**2) - 2 - i**2 + 2 + (i + 2*i - i)*(3 - 3 - 2*i).\nAnswer: 3*i**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 700560 divided by -140112.\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is 29517766513 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth biggest value? (a) -15 (b) 956 (c) -2\/7 (d) 0.5 (e) -2\/3 (f) 41\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Expand -3*z**4 + 4*z**4 - 2*z**4 + (4*z + 9 - z**2 - 9)*(-585*z**2 + 147*z**2 - 162*z**2).\nAnswer: 599*z**4 - 2400*z**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 2145641, 2145523, 2145405?\nAnswer: 2145287","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 574088 is divided by 206?\nAnswer: 172","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let g(h) be the third derivative of h**7\/168 - h**6\/120 + h**5\/120 - h**4\/12 + 35*h**3\/3 + 45*h**2. Let m(a) be the first derivative of g(a). Calculate m(2).\nAnswer: 28","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 17, 60, -11, 453 in decreasing order.\nAnswer: 453, 60, 17, -11","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Total of -4195 and 1063544.\nAnswer: 1059349","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 58 + -115. Let c = -57 + z. What are the prime factors of (-2)\/3 - c\/9?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 121141 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 -8585 (base 12) in base 13?\nAnswer: -6887","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 38*n = 40*n + 5 - 1 for n.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let c(q) = -77*q. Let z(h) = 25*h. Give c(z(g)).\nAnswer: -1925*g","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 36\/(-63)*14\/4?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -8 - -9. Let q be (-11)\/(-3) + p\/3. Let s(d) = d**3 - d**2 + 2*d - 3. Let v be s(2). Which is the third smallest value? (a) v (b) 3 (c) q\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of 59, 158, 287, 434, 587, 734, 863?\n\"Answer: -2*n**3 + 27*n**2 + 32*n + 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -15, 17, 67, 135, 221?\nAnswer: 325","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((sqrt(54) - (sqrt(432)*-1)\/sqrt(8) - sqrt(54)) + sqrt(54))\/sqrt(3))\/(sqrt(63)\/(1*sqrt(28))).\nAnswer: 4*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -40199\/6 + 6716. Find the common denominator of d and (-1)\/(-2*(-1)\/30).\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (-3)\/(4 + -1) - -1. Does 9 divide t + 1 + -2 - -38?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: -2.85*0.5\nAnswer: -1.425","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Put -4, -2, 163 in decreasing order.\nAnswer: 163, -2, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let c(w) = -16*w**2 + 16*w + 283. Give c(6).\nAnswer: -197","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -h - 12 = -3*h + w, 20 = 2*h - 3*w. Suppose 4*c - 4*y + 1 = 5, -h = -c - 2*y. Suppose c*t - 7 = 11. What is the units digit of t?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 141*20\/1200 + 144\/(-60) + (-476)\/80.\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*d - 13 = -4*y, 3*y - 6*y + d + 5 = 0. Find the second derivative of 3*n + 0*n**2 - 3*n - 2*n**y + 2*n wrt n.\nAnswer: -4","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 4*q**2 + 19*q**3 + 25 - 6 - 21 in the form d + r*q**3 + k*q**2 + l*q and give k.\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 142 minutes before 12:25 PM?\nAnswer: 10:03 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Express -113 + 115 - 307*q - 201*q as u + z*q and give u.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (a**(-1\/48)*a)\/a**(-33) assuming a is positive.\nAnswer: a**(1631\/48)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 3384 divided by -5.\nAnswer: -3384\/5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3213*q = 156767 - 558392 for q.\nAnswer: 125","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve -211*l + 132 = -205*l for l.\nAnswer: 22","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*t - 1 - 8 = 2*v, 0 = t + 3. Let i = 53 - 19. Suppose -s = s + v*y - i, -21 = -3*s + 3*y. Does 7 divide s?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is 2155 - 20506?\nAnswer: -16331","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is 10 + 10000002?\nAnswer: 10000012","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose k + 2*c = -6 - 2, c = 3*k - 11. Suppose -k*y - 10 = -2*t + y, -y = t. Solve 2*l = -2*b + 7 + 5, 3*l = b + t for b.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -j + 5 + 7 = -3*q, 0 = q - j + 4 for q.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from lllgg. What is prob of picking 1 l and 1 g?\nAnswer: 3\/5","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-7*s - 2*s**5 + 2*s**3 + 7*s)*(-24 - 1 - 4).\nAnswer: 58*s**5 - 58*s**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -4009*s**2 - s**3 + 12865*s**2 + 2528*s**2.\nAnswer: -s**3 + 11384*s**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -402, -1421, -3128, -5529, -8630, -12437, -16956, -22193?\nAnswer: -28154","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let q(p) = -p - 7. Let j be q(-7). Suppose 3*u - 21 = -3*v, -2*u + v - 24 = -29. Sort j, -15, -5, u.\nAnswer: -15, -5, j, u","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -10*3\/27*59\/(649\/(-198))?\nAnswer: 20","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -1311\/7 - -187. Which is the fourth biggest value? (a) -5 (b) 4 (c) n (d) -2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(t) = t**3 + 12*t**2 - 2*t + 35. What is the units digit of v(-8)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 87752 - 87662 = 6*o for o.\nAnswer: 15","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*a + 4*s - 2 = 0, -s - 1 = -2. Let v be a\/(-3 - 255\/(-84)). Let o = v - -70. Is 21 a factor of o?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(q) = 984032*q + 7640. Let t(m) = -773*m - 6. What is 3*o(y) + 3820*t(y)?\nAnswer: -764*y","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0, -2, 100, -1.\nAnswer: -2, -1, 0, 100","meta":{"dup_signals":{},"source":"comparison__sort_test"},"subset":"dm_maths"} +{"text":"Question: Let r(t) = 3*t**2. Let m(g) = -1314*g. Determine r(m(j)).\nAnswer: 5179788*j**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is 30 a factor of 3900?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -9 - -17. Let t = 11 + -9. Solve 2*d = 4*d - t*v, v + x = -d for d.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1274*x - 13376 = -432*x + 1306*x + 104764 for x.\nAnswer: -55","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-18)\/10)\/(12*(-8)\/160)?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -1413*c**2*z**2 - 54*c**2 + 2*c*z**2 + 10967*z**2 - 5*z wrt c?\nAnswer: -2826*c*z**2 - 108*c + 2*z**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -3164, -6793, -10438, -14099, -17776?\nAnswer: -21469","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Round -1.08333868 to 0 dps.\nAnswer: -1","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve 10*n + 5946 = 5966 for n.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*y + g = 26, 4*y - 7 - 18 = -5*g for y.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is -12.8035625 rounded to 0 decimal places?\nAnswer: -13","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth biggest value in -0.14, -3, 32, -4, -11\/2, -24, -0.07?\nAnswer: -11\/2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*n = -6*n - 5*k + 226, -4*k - 880 = -4*n. Suppose h + f = 96, -5*h - 486 = -10*h + f. Suppose -n - h = -6*z. Is z prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 1224646?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Total of -93265 and 1.1.\nAnswer: -93263.9","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Determine u so that 3*u**5 + 39*u**4 - 3504*u**3 - 10740*u**2 - 7200*u = 0.\nAnswer: -40, -2, -1, 0, 30","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth root of 1688 to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 2\/(-1)*20\/(-24)*3.\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: -51 divided by -14\nAnswer: 51\/14","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is 30631 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is -4 times 494426?\nAnswer: -1977704","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 92850 is divided by 755.\nAnswer: 740","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -79 + 81. Suppose -7*n + p*n = -50. What is the highest common factor of n and 2?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 330852371 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let t(r) = -r**3 - 7*r**2 + 69*r - 87. Determine t(-14).\nAnswer: 319","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -54*p**3 + 56*p**3 - 48*p**3 + 50*p**3.\nAnswer: 4*p**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let v(t) = t**3 - 43*t**2 - 93*t + 188. Let o be v(45). Which is the fourth smallest value? (a) -4 (b) 1\/2 (c) o (d) 2\/9\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (3*(0 + sqrt(2736)) - sqrt(2736))**2 - (0 + sqrt(475))*5.\nAnswer: -25*sqrt(19) + 10944","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Express (-2 + y + 2)*(0 + 2 - 3) + y - 4*y + 0 + 3 in the form q + u*y and give q.\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in -4, 5, -0.36, -1\/5, 1\/2?\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let n(r) = -186*r**2 + r + 10. Let y be n(-4). What is y rounded to the nearest one hundred?\nAnswer: -3000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of (13 + 54)*2\/2?\nAnswer: 67","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 0.3, -498, 5, -3, 1, -5\/2 in increasing order.\nAnswer: -498, -3, -5\/2, 0.3, 1, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let y(s) = -65827*s**2. Let x(q) = 10*q. Calculate y(x(v)).\nAnswer: -6582700*v**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: 52329310 divided by 55\nAnswer: 951442","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Are -1 and -4\/1736787 nonequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -8 + 12. Suppose -l*x = -7*x - 126. Let n be 2\/(-5) + x\/120. Which is the closest to 1? (a) n (b) 0.5 (c) 3\/7\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(h) = -h**3 - 6*h**2 - h + 4. Let q be a(-4). Let c be q\/(-14) - 18\/(-63). Let y be 15\/(-25)*(-7 + c). Solve -y*m + 2 = -4 for m.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 2234, 4393, 6426, 8279, 9898?\nAnswer: 11229","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4360*z + 168 = -4353*z. Solve -5*j + z = 9 for j.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 b and 1 x when two letters picked without replacement from txwwtqbbxtxqq.\nAnswer: 1\/13","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 6 + -14. Let s(y) = y + 3. Let d be s(k). Let r = d - -27. Is r composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 388069 is divided by 194030.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 255 minutes after 5:31 PM?\nAnswer: 9:46 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -1121.88 + -29.12. Do -1 and c have different values?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -35 plus -0.0808?\nAnswer: -35.0808","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Round 5506.0563 to zero decimal places.\nAnswer: 5506","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let s(h) be the first derivative of -h**7\/231 - h**6\/33 - 9*h**5\/110 - 7*h**4\/66 - 2*h**3\/33 + 3*h - 4. Let q(w) be the first derivative of s(w). Factor q(f).\nAnswer: -2*f*(f + 1)**3*(f + 2)\/11","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(q) = -3*q**2 - 4*q**2 - 4*q**2. Let w(i) be the second derivative of i**4\/12 - i + 653. Calculate o(w(u)).\nAnswer: -11*u**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let p(l) = -l**3 + l**2 - l. Let r(v) = 5*v**3 - 13*v**2 - 5*v. Let c(x) = -4*p(x) - r(x). Is c(7) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(364)\/(sqrt(28)\/sqrt(4)*-3))**2.\nAnswer: 52\/9","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {e: 1, j: 1, x: 1, a: 1, i: 1}. Give prob of picking 1 x and 3 e.\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (442\/(-117)*(-1170)\/52)\/(-1)?\nAnswer: -85","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 163389 and 61311.\nAnswer: 31207299","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Put -4, -49, 5, -2, -6, 21, -123 in descending order.\nAnswer: 21, 5, -2, -4, -6, -49, -123","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 128\/336*3*14\/(-36)?\nAnswer: -4\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let x be 164\/8 + (-1)\/(-2). Suppose 3*n + 5*y + 13 = -0*n, n = -5*y - x. Suppose -5*f = n*t - 5, 2*t - 2 + 12 = 0. Solve -j = -4, -f*j = -s + 4 - 19 for s.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is -73 - 10?\nAnswer: -83","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 18 = 4*p - 5*d, -3*d = -4*p - 8*d - 2. Let j be (7 - -136892) + (1 - (2 - p)). What is j rounded to the nearest ten thousand?\nAnswer: 140000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -1 by 642321.\nAnswer: -1\/642321","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -t = -227 + 66. Is t a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(i) = -3*i - 2. Let q be k(-4). Let g(o) = o**3 - 9*o**2 - 9*o - 4. Let p be g(q). Solve -p = 4*b - 2 for b.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -25*q**3 + 49*q**3 - 35*q**3.\nAnswer: -11*q**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 849 - 844. What is the closest to z in -0.1, -1, -0.4, 0.3?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 107 + 10. Let d(x) = 29*x + 1. What is the remainder when g is divided by d(1)?\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 1293 and 227568.\nAnswer: 1293","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 3917644?\nAnswer: 2, 43, 22777","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Express -140*b + 0 + 0 - 293*b + 693*b in the form k*b + p and give k.\nAnswer: 260","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -48*p + 890 = 130*p. Let w be 0 - (1 + -2)*2. Suppose w*i = a + 9, 3*a - 8 = -i - 0*i. Solve n + 0*v + v = i, -p*n + 5*v = -5 for n.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor n**2\/2 - 383624328*n + 73583812516725792.\nAnswer: (n - 383624328)**2\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let z(w) = 19*w**2 + 35*w - 2. Let n be z(-2). Solve 10 = 3*a + 7, 2*b + n*a - 6 = 0 for b.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 l when two letters picked without replacement from bbbbblbbbbllblbbll.\nAnswer: 5\/51","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let h(k) = -2*k**2. Let s = -5 - -5. Suppose 5*i - 3*i - 4 = s. Let q(y) = 6*y**i - y**2 - 6*y**2. Calculate h(q(c)).\nAnswer: -2*c**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -2 in -0.5, -6992, 0, 2, -5?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve -140*u - 1993 - 5244 + 799 = 702 for u.\nAnswer: -51","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Sort 9198, 3\/361, 6\/5 in descending order.\nAnswer: 9198, 6\/5, 3\/361","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*k - 222410 = -0*k - 222461 for k.\nAnswer: -17","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*y**4 + 258*y**3 + 7794*y**2 - 16370*y + 8316.\nAnswer: 2*(y - 1)**2*(y + 54)*(y + 77)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 27*j - 251 = -89. Is 6 <= j?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -187126.3 greater than -22?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 5 - (0 - -8 - (16 + -17))?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -71955.8 and -0.06?\nAnswer: 4317.348","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve 35*p**5 + 1455*p**4 - 3130*p**3 - 42420*p**2 - 9640*p + 103200 = 0.\nAnswer: -43, -4, -2, 10\/7, 6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let w(j) = 26*j**2 + 2*j - 13. Let k(o) = 4*o - 27. Let i be k(8). Is w(i) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -70 - -337. Let c = -266.974 + l. What is the second biggest value in c, -4, 0.5?\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:59 PM and 3:17 AM?\nAnswer: 618","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in twenty-seven quarters of a litre?\nAnswer: 6750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Factor -3*n**2\/4 + 28533*n\/4 + 380169.\nAnswer: -3*(n - 9564)*(n + 53)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is -11194 greater than or equal to -10992?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 51\/20 - 11\/4. Let u = 37\/36 + -7\/9. What is the biggest value in u, 0.2, m?\nAnswer: u","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth smallest value in -2, -43.2, -1, -2\/13, -2\/9?\nAnswer: -2\/13","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -12*m - 12 + 9*m + 7*m wrt m?\nAnswer: 4","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*a - 5508 = -4*g, -20*g + 2766 = 2*a - 21*g. What is the thousands digit of a?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*u - 8 = -0*u. Let y(f) = 6*f**2 - 2*f**2 - 6*f**u. Let p(d) be the first derivative of -d**3\/3 - 3. What is p(y(l))?\nAnswer: -4*l**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -47 or -1466\/31?\nAnswer: -1466\/31","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 120 minutes after 5:42 PM?\nAnswer: 7:42 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*t - 2*n + 4*n = -4, 0 = n - 2. Let y be t\/(-10) - (-32)\/20. Let d(g) = 4*g**2 + 2*g - 1. What is the units digit of d(y)?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3 + 1 = -4*p. Suppose 0 = 3*l - 3*n, 5*l - 1 = 3*n - 11. Sort l, 0.6, p in increasing order.\nAnswer: l, p, 0.6","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of -65, -119, -205, -323, -473, -655, -869?\n\"Answer: -16*q**2 - 6*q - 43","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (-110)\/(-14) + (-90)\/735*7. Let o(u) = 70*u - s*u - 57*u - 7*u. Let y(b) = -11*b. Let r(f) = -16*f. Let t(n) = 5*r(n) - 8*y(n). Determine o(t(k)).\nAnswer: -8*k","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let w(y) = -6*y**2 + 5*y - 3. Calculate w(3).\nAnswer: -42","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3 = -7*a + 18. Suppose 192 = -5*u + 2*u. What is the remainder when 47 is divided by (a\/(-2))\/(6\/u)?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o be 5 + -2 + 2 + -3. Does 25 divide 28\/(-8)*(-28)\/o?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 223 (base 7) in base 12?\nAnswer: 97","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let v(t) = 34*t + 2203. What is v(-49)?\nAnswer: 537","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Round 1884.91972 to the nearest 100.\nAnswer: 1900","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth biggest value? (a) -2\/25 (b) -0.07 (c) -1\/5 (d) 2\/33 (e) -2 (f) 2\/39 (g) 0.32\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: How many micrograms are there in 12\/25 of a milligram?\nAnswer: 480","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -72 + 81. Let y = 15 - b. What is the third derivative of 16*r**2 + r**5 + 3*r**5 + 7*r**5 + y*r**2 wrt r?\nAnswer: 660*r**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-w - 3*w + w)*(-3 + 0 + 5)*(-13*w**4 + 0*w**4 + 2*w**4).\nAnswer: 66*w**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((-4 + 3 + 2)*(0 - 1 - 1) + 1 + 2 - 5 + 0 - 1 - 1 + 1 + 2 + 0)*(30*x - 19*x - 15*x).\nAnswer: 12*x","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 17087 - 17092. Sort h, 5, 8\/3 in ascending order.\nAnswer: h, 8\/3, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k be 0 - (2 + (-8 - -2)). Suppose 2 = -3*u + 3*r - 1, 0 = -u - k*r - 16. Let y(h) = -h**2 + 1. Let i be y(2). Is i greater than u?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*g + 3354 = 3378 for g.\nAnswer: 8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let l(h) = h**2 + 6*h + 4. Let x be l(-5). Let i be -2*21\/6 - -3. Does 13 divide 39 - (-4 + i\/x)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 12545?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence lll when three letters picked without replacement from llllllnl.\nAnswer: 5\/8","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let t(i) = i + 360. Let r(j) = -8*j - 8. Let b(m) = -11*m - 10. Let y(g) = -4*b(g) + 5*r(g). Determine y(t(p)).\nAnswer: 4*p + 1440","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let g(n) = 8*n. Let p be g(-1). Let l = 14 - -9. Let i(k) = -7 - 23*k + 2 + 71*k - 26*k - l*k. Give i(p).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 47976?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Does 17 divide 91207176?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:38 AM and 10:21 AM?\nAnswer: 583","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve -i**2\/6 + 678*i + 742525\/6 = 0.\nAnswer: -175, 4243","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -189.006 + 185.9. Let n = l - -0.106. Which is the second smallest value? (a) 0.2 (b) n (c) 0.11\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 114 and 54?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let j(r) = -7*r**2. Let b(y) = -123933*y**2 - 758*y - 7580. Let i(k) = 1144*k**2 + 7*k + 70. Let u(m) = 7*b(m) + 758*i(m). Calculate u(j(l)).\nAnswer: -18571*l**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is 13676899 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -4200, -16777, -37738, -67083, -104812, -150925?\nAnswer: -205422","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Sort -14, 15, 1175, 61, -4 in decreasing order.\nAnswer: 1175, 61, 15, -4, -14","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 560 minutes after 8:45 AM?\nAnswer: 6:05 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 5944*q**4 + 3*q**3 - 28498*q**2 wrt q.\nAnswer: 142656*q + 18","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.19389316 to four dps.\nAnswer: 0.1939","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*i - 42416 = -2*c + 52197, -94621 = -5*i - 4*c. What are the prime factors of i?\nAnswer: 3, 7, 17, 53","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 43\/2 + (-13)\/(-26)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: 8568 times -1\nAnswer: -8568","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let l(u) be the third derivative of 0*u + 1\/36*u**4 + 1\/180*u**5 + 3*u**2 + 1\/18*u**3 + 0. Find x such that l(x) = 0.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*v = -v + 50. Let f be 150\/(-125)*v\/(-3). Solve f*w = -w for w.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from irrdidiiiiriiiir. What is prob of sequence rd?\nAnswer: 1\/30","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth root of 2659502 to the nearest integer?\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 1\/2 - ((-4270)\/(-2100) + (-2)\/15)?\nAnswer: -7\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 73*-156107.\nAnswer: -11395811","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -24*q + 169487 + 291937 = 0. What is the ten thousands digit of q?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -r - 12 = s + r, -4*s = r + 13. Let p(o) = 9*o - 9*o + 2 - 2*o - 3. What is the remainder when 11 is divided by p(s)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 79*v - 396579 - 576353 = -204736. Is v a multiple of 44?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 7*a - 17\/4*a**2 + 0 - 1\/4*a**4 - 5\/2*a**3.\nAnswer: -a*(a - 1)*(a + 4)*(a + 7)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -12\/625685887 smaller than 0?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*r + s = -3*s - 60, 0 = -4*r - s + 45. Let c(t) = -t**2 + 5*t + 11. Let i be c(r). Let w = -10 - i. Is 21 a factor of w?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o be 56\/(-12)*(-18)\/4. Solve -g - 2*h + 0 = 3, 2*g = 5*h + o for g.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 8\/1508543 or -1?\nAnswer: 8\/1508543","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*q**4 + 30*q**3 - 152*q**2.\nAnswer: 2*q**2*(q - 4)*(q + 19)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: -1123021311 (base 5) to base 16\nAnswer: -26e26b","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Divide -3655 by -85.\nAnswer: 43","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -2011240*t + 10436449 wrt t.\nAnswer: -2011240","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let a be -1 + 1\/(2\/73). Let b = -34 + a. Let f = 27 + -26.8. What is the nearest to 0.1 in f, -4, b?\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*z - 2*x + 12 = 0, -4*x - 237 = -3*z - 236 for z.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (15\/(-663)*-119)\/(-5)?\nAnswer: -7\/13","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 3*(((sqrt(500) - ((sqrt(500) + 2*sqrt(500) - sqrt(500)) + sqrt(500))*-2) + (sqrt(500) - (0 + 0 + sqrt(500))))**2 + -4 + -6*sqrt(320) + 0).\nAnswer: -144*sqrt(5) + 73488","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let y(k) be the second derivative of k**6\/15 - 29*k**5\/5 - 217*k**4\/6 + k - 225. What is the third derivative of y(t) wrt t?\nAnswer: 48*t - 696","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out -5 * 0.088.\nAnswer: -0.44","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 627840153 to the nearest integer?\nAnswer: 856","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (1\/2)\/((-1)\/(-8)). Suppose -3*b - 27 = 2*b + f, -4*f + 12 = -q*b. Let n be (-3 - (-3 + 2)) + 3. Sort n, -1, b.\nAnswer: b, -1, n","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t be 2584907\/(-660) + -1 + 0. Let v = t + 25327\/60. Let i = v + 3496. What is the common denominator of 133\/12 and i?\nAnswer: 132","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (-60)\/(-7) - -8*(-6)\/(-112). Solve d - 11 = g for g.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of 207, 198, 187, 174, 159, 142, 123?\n\"Answer: -h**2 - 6*h + 214","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((6*(sqrt(24) + sqrt(48)\/sqrt(2) + sqrt(24))*4)\/(sqrt(16)\/sqrt(2)*-1*6))**2.\nAnswer: 432","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: 659016 divided by 6\nAnswer: 109836","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 1266702, 1266878, 1267170, 1267584, 1268126, 1268802, 1269618?\nAnswer: 1270580","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let a(w) = 6*w**3 + 3*w**2 + 94*w + 3. Let g(s) = -6*s**3 - 4*s**2 - 95*s - 4. Let y(r) = 4*a(r) + 3*g(r). Find the second derivative of y(q) wrt q.\nAnswer: 36*q","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 238961*x**6 + 26*x**3 - 880*x**2 - 8*x + 71?\nAnswer: 28675320*x**3 + 156","meta":{"dup_signals":{},"source":"calculus__differentiate_test"},"subset":"dm_maths"} +{"text":"Question: Let a be ((-3)\/(-12))\/(1\/(-8)). Let u(b) = -31*b - 29. Let n be u(a). Calculate the highest common divisor of n and 77.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 14548*j + 2*j**2 - 14548*j.\nAnswer: 2*j**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2370.\nAnswer: 2, 3, 5, 79","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: -184.9247223 - 14\nAnswer: -198.9247223","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in 0.3, -23\/6, 22?\nAnswer: 22","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 812 and 60?\nAnswer: 12180","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let k(y) = -y**3 - 3*y**2 + 11*y + 21. Let w be k(-5). Let l be -2 + -3 + 72\/w. Put 0.2, l, 5, 2\/7 in descending order.\nAnswer: 5, 2\/7, 0.2, l","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -15 = 5*o, 4*i - 3*o - 13 = 3*i. Suppose -i = c - 5*c. Suppose 3*k - 11 = c. Is k even?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -4 - -5. Let g be (-52)\/(-9) + 10\/45. What are the prime factors of g\/b - (-5)\/5?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((x**(-1\/11))**(-1\/37)*(((x*x**(-1\/3)*x)\/x)\/x)**(-2\/61))**(-4) assuming x is positive.\nAnswer: x**(-3988\/74481)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let q(d) = 5*d**2 - 2*d - 1. Let k(n) = 4*n**2 - n. Suppose -20*t - 2*t = 44. What is t*q(o) + 3*k(o)?\nAnswer: 2*o**2 + o + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of -5412183, -5412185, -5412187, -5412189, -5412191, -5412193?\n\"Answer: -2*z - 5412181","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) 8083 (b) -2 (c) -3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 1672 and 242.\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) -331 (b) 3\/2 (c) -16 (d) -8\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*q - 1946 = -2*q. Let o = -391 + q. Let u be o\/(-15) + 7\/(-35). Which is bigger: u or -40?\nAnswer: u","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 11, -9, -53, -133, -261, -449?\nAnswer: -709","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 29\/28 and 75\/55204.\nAnswer: 386428","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let a(j) = 5*j**3 - j**2 + j. Let y(p) = 24*p**3 - 9*p**2 + 17*p + 2. What is 5*a(q) - y(q)?\nAnswer: q**3 + 4*q**2 - 12*q - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (-5)\/(-1) + (16 - 13). Suppose -20 = 4*p - c*p. Suppose -4*w = -p*w + 64. What are the prime factors of w?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 0 + 2. Let l(y) = y**3 + 7*y**2 + 6*y + 4. Let a be l(-6). Solve -z*n = -0*n - a for n.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is 6c70 + -5061?\nAnswer: 1c0c","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-2*c**4 + c**4 + 4*c**4)*(-5 + 2 + 5) + c**4 + c**4 - c**4 + c - c + c**4 to n*c**4 + d*c + a*c**2 + v*c**3 + h and give n.\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-a**4 - a + a)*(1 - 1 - a + (1 + 0 + 1)*(30 - 16*a - 30)).\nAnswer: 33*a**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (-18)\/36 + 5\/2. Suppose 0 = -2*f + 5 + 1. What is the common denominator of i - ((-121)\/6 + f) and 93\/20?\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 435061 (base 7) to base 3.\nAnswer: 10212111211","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence lo when two letters picked without replacement from gngglnog.\nAnswer: 1\/56","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 1140413244 (base 5) in base 16?\nAnswer: 28bd00","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let i(x) = x. Let o(q) = 2*q + 24*q**2 - 23*q**2 - 9*q. Calculate -6*i(u) - o(u).\nAnswer: -u**2 + u","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 7980 - 7816. Put -1, h, -2 in ascending order.\nAnswer: -2, -1, h","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*f + 60 = 5*q, 0*q - 4*f = 3*q - 39. Let s be (2 + q\/(-4))*-15. Let g = s + -83\/20. What is the closest to g in -0.4, -5, -2\/7?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -1 = -3*c + 2*h, -5*c - 2*h + 13 = -10. Solve -c*r = -3*o + o + 1, -5*r = 5 for o.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 421641457?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 872 and 24.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let w be 1 - (36\/(-10))\/(-3). Let n = 9\/11 - -59\/22. What is the nearest to n in 1\/9, 1\/4, w?\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(u) = u**2 + 9*u + 10. Let m = 24 - 32. Let b be z(m). Suppose b*a - 3 = 13. Solve 3*n - 20 = a*n for n.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 1608 - 1614. Let t = 4.9 + -0.9. Which is the smallest value? (a) 1\/2 (b) t (c) q\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -v**3\/4 - 25*v**2\/4 + 194*v - 660.\nAnswer: -(v - 15)*(v - 4)*(v + 44)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let x(m) be the third derivative of -85*m**9\/168 - m**5\/30 + 41*m**3\/3 - 14*m**2 + 5. What is the third derivative of x(z) wrt z?\nAnswer: -30600*z**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 20*a**2 + 16*a**2 + 95 - 198 + 99 in the form r*a**2 + z + b*a and give z.\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is -9625 - -1?\nAnswer: -9624","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -5*t**2 - 4*t**2 + 2*t**2 + 3*t**2 + 2*t**2.\nAnswer: -2*t**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let a(n) = -n**3 + 6*n**2 + 8*n - 10. Suppose -5*i + 53 = -27. Suppose 0 = -4*f + 3*d + i, 4*f - 4*d - 13 + 1 = 0. Calculate a(f).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 972336.3ml in litres?\nAnswer: 972.3363","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 11882, 11862, 11842, 11822, 11802?\nAnswer: 11782","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 0.22 or 44\/13?\nAnswer: 0.22","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 27190 - 27186. Which is the nearest to n? (a) -0.3 (b) -1\/7 (c) 1 (d) -2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(j) = 13*j**3 + 13*j**2 + 6*j - 3. Is a(4) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 354 + 154*g + 152*g - 459*g + 149*g to the form q*g + n and give n.\nAnswer: 354","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 97583?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in -0.25, 1\/3, 42, -43\/4?\nAnswer: 42","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Divide 4 by -4500.\nAnswer: -1\/1125","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 10186019\/5040 - 28293\/14. Calculate the common denominator of g and 109\/80.\nAnswer: 720","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*c - 5 + 20 = 0. Suppose -5*t = p - c*t - 9, 4*p + 5*t - 24 = 0. Solve -2*j - 9 = -m, 5*j - 4*m + p = -29 for j.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 24*l = 23*l - 3 for l.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Determine n, given that -2*n**2\/5 + 828*n\/5 - 818 = 0.\nAnswer: 5, 409","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve 71*b + 109 = 393 for b.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is -15082730625 minus 368?\nAnswer: -15082730993","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is 26bb81 - 3?\nAnswer: 26bb7b","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -457*f*r**3 + 2*f*r**2*s - f*r*s - 4*f*s + f + 368*r**3*s + 4*r**2*s - 8*s wrt r.\nAnswer: -2742*f + 2208*s","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Sort -4, -1, 1, 6, 8 in ascending order.\nAnswer: -4, -1, 1, 6, 8","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 42 - 41.7. Which is the second biggest value? (a) l (b) -2 (c) 3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -45, -53, -67, -87, -113?\nAnswer: -145","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let t(n) = 8*n - 2. What is t(4)?\nAnswer: 30","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*u = 3*p - 8 + 6, -4 = 4*p + 4*u. Solve i = 2*i - 4*g + 17, -3*g + 9 = p for i.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0.3 in -0.5, -3, 3\/5, -1?\nAnswer: 3\/5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0*k + 5*k - 3*k)*(32842 - 172*k - 32842).\nAnswer: -344*k**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*j**2 + 1117*j + 51377 = 0. Calculate j.\nAnswer: -619\/6, -83","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -0.2 or -87832?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let -r**2\/2 - 5047*r - 25472209\/2 = 0. What is r?\nAnswer: -5047","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 16*d = -23*d - 666900. What is d rounded to the nearest 10000?\nAnswer: -20000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 424*s**2 - 7 - 6646107*s + 6646107*s as v + m*s**2 + d*s and give v.\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 a and 1 v when two letters picked without replacement from {x: 9, a: 8, v: 2}.\nAnswer: 16\/171","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let j be 20\/(-8)*(-52)\/10. Let v be j\/((-39)\/4)*18\/(-4). Solve 2*k + 4 = v*k for k.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: 3620*-122\nAnswer: -441640","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:24 AM and 5:26 PM?\nAnswer: 482","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let u(l) = 7*l**2 - 14*l - 10. Let f(r) = -4*r**2 + 6*r + 6. Let t(b) = 5*f(b) + 3*u(b). Let j(o) be the second derivative of o**3 - 2*o. What is t(j(d))?\nAnswer: 36*d**2 - 72*d","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let o(c) be the third derivative of c**6\/210 - 2*c**5\/105 - c**4\/14 + c**2 - 15. Factor o(y).\nAnswer: 4*y*(y - 3)*(y + 1)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(m) = 9*m - 3. Let y be j(4). Suppose -1 - 17 = -4*f + 2*w, 5*f - y = -w. Solve f*q - 2*q - 20 = 0 for q.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -0.1 in -0.2, -1\/3, -3, -0.1, -802.98?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 380181422?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is -1 divided by 68935?\nAnswer: -1\/68935","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) 0 (b) 0.5 (c) -48 (d) -1040 (e) -2\/5 (f) -1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.0021165101 to four decimal places.\nAnswer: -0.0021","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve -k + 17 = -2*h, 0*k - k + 38 = -5*h for h.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Factor 6*r**2\/5 + 744*r\/5 + 23064\/5.\nAnswer: 6*(r + 62)**2\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 646 minutes before 6:24 PM?\nAnswer: 7:38 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-13 + (-9 + 26 - 9) - 28) + 7.\nAnswer: -26","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let -5*p**2 + 155*p - 150 = 0. Calculate p.\nAnswer: 1, 30","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (n*n**(-6\/11)*n**(-2\/43)*n**(-25)\/n*n**(-14)\/n)**(-46) assuming n is positive.\nAnswer: n**(883200\/473)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (120 - 80) + (5 - 21).\nAnswer: 24","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 305770, 611470, 917168, 1222864, 1528558?\nAnswer: 1834250","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence kkkz when four letters picked without replacement from kkzzztzkkzz.\nAnswer: 1\/55","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there in 3\/40 of a day?\nAnswer: 108","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*u - 13 = -5. Suppose 20 = -5*i + i, 2*s = -5*i - 25. Suppose 3*r + 14 = -5*y + 100, -y - 4*r = -24. Solve -u*b + y = -s*b for b.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 157394603 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve -53 = -3*y - 4*r, 0 = 3*y - 72*r + 74*r - 25 for y.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 1 (base 11) in base 14?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 337 = 3*r + 2*p - 12, r + 5*p = 125. Suppose -4*j - 27 = -r. What is the smallest common multiple of 4 and j?\nAnswer: 44","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(n) = 218*n**2 - 872*n + 4. Let b be w(4). Solve -4 = -l - 2*z, -14*z + 16 = b*l - 17*z for l.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1500087966.\nAnswer: 2, 3, 13, 37, 61, 8521","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let u(s) = -133*s**3 - 19*s**2 + 19. Let l(m) = -15*m**3 - 2*m**2 + 2. What is 57*l(i) - 6*u(i)?\nAnswer: -57*i**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -21, -46, -59, -54, -25?\nAnswer: 34","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -1.88 - 0.12. Let l be ((-9)\/(-12))\/(1\/4). Suppose -l*c + 2 - 17 = 0. Sort c, t, 1\/6 in descending order.\nAnswer: 1\/6, t, c","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: -5 divided by -2200841\nAnswer: 5\/2200841","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Express 553*x + 101*x + 675*x + 465*x + 2242*x as y*x + k and give y.\nAnswer: 4036","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in -8\/15, 0, -15, -5, 2\/3?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let b(g) = -5*g**3 + 3. Let z = -12 - -5. Let v(d) = -11*d**3 + 3*d - 2*d - 2*d + 7. Let u(n) = z*b(n) + 3*v(n). What is the second derivative of u(l) wrt l?\nAnswer: 12*l","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -298277080*j + 298277080*j + 0*j**3 - 4*j**3 + 0*j**3.\nAnswer: -4*j**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 127 - 379\/3. Which is the nearest to w? (a) 0.4 (b) -6 (c) 0 (d) -5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(p) = -p + 17. What is b(14)?\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let t(q) = q**3 + 14*q**2 + 31*q + 82. Calculate t(-10).\nAnswer: 172","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -17066, -34128, -51192, -68258, -85326, -102396, -119468?\nAnswer: -136542","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -12 - (-2999 - -2989 - (-16 + (2 - 3))).\nAnswer: -19","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -259 + 484. What is the highest common divisor of f and 50?\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 115 divided by -397?\nAnswer: -115\/397","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.434859 to two dps.\nAnswer: 0.43","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -19*c*o - c*r*t + c*t**2 - 51*o**2*r*t**2 - 2*o**2*t - 9*o*t**2 + r*t**2 wrt r?\nAnswer: -c*t - 51*o**2*t**2 + t**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Determine a, given that 5*a**5 + 2375*a**4 - 4785*a**3 - 7135*a**2 + 9560*a + 9540 = 0.\nAnswer: -477, -1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -16\/17 + 242\/221. Which is greater: y or 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 103\/3 - 35. Which is the closest to -1? (a) w (b) 2 (c) 0.4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 146 - 141. Suppose -4*c = 7*h - 6*h - 1765, 2*h + 2216 = j*c. What are the prime factors of c?\nAnswer: 2, 13, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*q - 2*d - 22 = 0, 5*q - 44*d + 18 = -45*d for q.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -13\/2 in -1, 0.1, 4, -4?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: -0.1327*-0.2\nAnswer: 0.02654","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let x(t) = t**2 + 5*t + 4. Calculate x(-6).\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is 1901 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let o(t) = -168*t - 21. Let d(r) = -252*r - 32. Let m(v) = 5*d(v) - 8*o(v). What is the tens digit of m(4)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 735200859 to the power of 1\/2, to the nearest integer?\nAnswer: 27115","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Divide -29269 by 19.\nAnswer: -29269\/19","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*n + 0*n = 5*v + 24, 0 = -4*n - 4*v - 8. Let p = n + -12. Is (p\/(-4))\/5*74 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(p) = -p**3. Suppose -8*r + 5*r = 4*h + 17, 5*r + 17 = -h. Let f(o) = -4*o**2 + o**2 + 2*o**2. Determine h*f(w) - n(w).\nAnswer: w**3 + 2*w**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let m(b) = 5*b**2 + 326*b + 45. What are the prime factors of m(20)?\nAnswer: 3, 5, 571","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(m) = 69249*m**3 + 2*m - 2. Let u be x(1). Suppose -58790 = -61*n + u. Is n a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -122300 to the nearest 10000.\nAnswer: -120000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 7613601975?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let k(t) = 6*t + 13. Let v(x) = -x - 1. Give k(b) + 4*v(b).\nAnswer: 2*b + 9","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 132 minutes after 12:09 PM?\nAnswer: 2:21 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -23 - -27. Suppose -p*t = -34 - 14. Calculate the least common multiple of t and 14.\nAnswer: 84","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -243950.9 - -1.0403?\nAnswer: -243949.8597","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -1\/4? (a) -1 (b) 1.01 (c) 2\/553 (d) -4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 140.2 + -140. What is the second biggest value in a, 6, 3, -1\/2?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -122213 (base 4) to base 7.\nAnswer: -4652","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let k(z) = -84*z**2 - 24*z. Let v(d) = 17*d**2 + 5*d. Calculate -5*k(u) - 24*v(u).\nAnswer: 12*u**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is (3 + 1 + -28 + 19 - (51 + -7)) + 9?\nAnswer: -40","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Put -3, 0, -6, -3\/4, -4\/7, 0.64 in increasing order.\nAnswer: -6, -3, -3\/4, -4\/7, 0, 0.64","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let x(u) = 2*u**3 + 998*u**2 - 3036*u - 12039. What is x(-502)?\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is 8767 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -9*z + 4*z + 235. Let k(v) = 2*v + 7. Calculate the remainder when z is divided by k(3).\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: -251275 divided by -480\nAnswer: 50255\/96","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -3? (a) -2\/11 (b) 1\/2 (c) 0.03 (d) -218\/11 (e) 1\/9\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let w(y) = y**3 - y**2 - 3*y - 2. Suppose 12 = 9*q - 42. Suppose -3*t + 3 = -q. Suppose m + m - 18 = -t*s, 4*s - 22 = -2*m. Give w(m).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of -1811, -7276, -16345, -28982, -45151, -64816, -87941, -114490?\n\"Answer: 6*u**3 - 1838*u**2 + 7*u + 14","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: 24 - (24 + -4) - (3 - -31)\nAnswer: -30","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 14348004373 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let q(d) = d**3 - 69*d**2 + 378*d + 3. Calculate q(63).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 511 + -507. Suppose -a - 3*o = 2*o - 20, -5*o + 15 = 0. Solve g + 13 = a*u, 2*u - q*g - 14 = -8*g for u.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 760905.\nAnswer: 3, 5, 37, 457","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Sort -0.02, 0.041, -4.\nAnswer: -4, -0.02, 0.041","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 312755 and 201749?\nAnswer: 881","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -17 in 2.1, -3, -0.4, 4, -107?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of -946, -776, -316, 578, 2050, 4244, 7304, 11374?\n\"Answer: 24*g**3 + g**2 - g - 970","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -10 + 30 + 38 - 58 - 24*k.\nAnswer: -24*k","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let d be 948\/711*6\/(-8). Let l be 1\/4 + (-1)\/(-12). Suppose -10*v + 11 - 1 = 0. What is the nearest to l in v, 0.1, d?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0.3 in 0.7, 4, -5, 73123?\nAnswer: 0.7","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let y(x) = 18*x**2. Suppose -d = -4*d. Let q(i) = -i**2 + 2*i**2 + d*i**2. Determine q(y(o)).\nAnswer: 324*o**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -4 + 4. Sort p, 17, -4 in decreasing order.\nAnswer: 17, p, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 170144 a multiple of 13?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Work out 14651 + 241.\nAnswer: 14892","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Expand (7 + 6 - 5 + (2 + 0 - 4)*(-2 + 2 + 1) - 4 + 4 - 1)*(-i + 4 - 4).\nAnswer: -5*i","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*g - 5 + 1 = 0. Let l be 62\/(-3*g\/(-15)). Calculate the highest common factor of l and 31.\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-1 - -3) + ((-12 - -8) + 2 - -6)?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let f be 11\/2 - 15\/10. Solve -x - 1 = f for x.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (-2)\/8 + (-82)\/(-8). Let g be ((-3)\/(-9))\/((-2)\/(-150)). What is the greatest common factor of d and g?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 5 - 3. Suppose -2*x + h*z + 42 = 0, -x + 3 = 3*z - 34. Let n = x - 13. List the prime factors of n.\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -5*(2*sqrt(5) + 5).\nAnswer: -25 - 10*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is -2 - 12?\nAnswer: -14","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is -228 (base 14) in base 9?\nAnswer: -525","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between -95519 and 219851640?\nAnswer: 219947159","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*g = 5, 4*k - g + 0*g = 77. What is the remainder when 32 is divided by k?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -41464100 rounded to the nearest 100000?\nAnswer: -41500000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: 1714 (base 14) to base 13\nAnswer: 1b60","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of -153018, -611989, -1376940, -2447871, -3824782?\n\"Answer: -152990*k**2 - k - 27","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 245 = 53*h + 25 - 151. What is the remainder when 3550 is divided by h?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 140*c**4 - 1057 - 357*c**4 + 1041 + (-1 + c + 1)*(4*c**3 + c**3 - 3*c**3) to the form u + h*c**2 + x*c + d*c**4 + p*c**3 and give u.\nAnswer: -16","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Divide -446 by 446.\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (26\/7 + -4)*-14. Which is smaller: -2\/3 or d?\nAnswer: -2\/3","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -34 + 33.86. Let v = -0.24 - w. Which is the nearest to v? (a) -4 (b) -1\/5 (c) 4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -569739\/53624 + -2\/6703. What is the common denominator of -71\/10 and x?\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 51, 64, 81, 102?\nAnswer: 127","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 11290 and 20?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let k be -12*(1\/(-3) + 0). Let q(u) = k*u + u**2 - 4*u + 0*u. Let o(x) = 7*x**2 + 5*x. Determine q(o(b)).\nAnswer: 49*b**4 + 70*b**3 + 25*b**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -68 = -9*y + 94. Calculate the remainder when 37 is divided by y.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 4*d**3 - 9352*d**2 - 169564*d - 160208.\nAnswer: 4*(d - 2356)*(d + 1)*(d + 17)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose i**2 + 5*i**2 - 6*i + 3*i - 3*i**4 + 3*i**3 + 3*i**2 - 6 = 0. Calculate i.\nAnswer: -1, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 u, 1 b, and 1 x when three letters picked without replacement from xlxlbxbbxxbxllxblu?\nAnswer: 35\/816","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve 883*c - 112377 - 16290 - 9010 = -1374*c for c.\nAnswer: 61","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Sort 94, -2, 4, -3 in descending order.\nAnswer: 94, 4, -2, -3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve -35 = 4*z - 11*z for z.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve -c**2\/5 - 8*c\/5 - 3 = 0.\nAnswer: -5, -3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve -48*n + 238 = -14*n for n.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 2*h**2*p**3 - 112*h**2*s**2 + 2*h - 103*p**3*s**2 - p*s**2 wrt h.\nAnswer: 4*p**3 - 224*s**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Factor 4\/3*g + 0 - 1\/3*g**3 + 0*g**2.\nAnswer: -g*(g - 2)*(g + 2)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(u) = u**3 + 2*u - 3. Is n(5) a multiple of 22?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose d = -4*d - k - 62, -5*d + 5*k = 50. Suppose -4*r + u - 9 = 0, -11 = -3*r - 5*u - 35. Let p be r\/d - (-105)\/12. Solve m + p = 4*m for m.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 86.61884 millennia to decades.\nAnswer: 8661.884","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 8 - 4. Let i = 50 + 142. Let x = i - 200. Put 5, x, a in descending order.\nAnswer: 5, a, x","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 147 is divided by 62.\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(187)\/sqrt(275) + sqrt(17) + 3*sqrt(17) + 3 + sqrt(17))*1)**2 + -5.\nAnswer: 156*sqrt(17)\/5 + 11592\/25","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 456179 to the power of 1\/6, to the nearest integer?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is (-345)\/25*(1\/2)\/((-261)\/870)?\nAnswer: 23","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is 43611664 a multiple of 136?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is -baab90 - -2?\nAnswer: -baab8b","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -34\/75 and -191\/83220150?\nAnswer: 83220150","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 158422 is divided by 3149.\nAnswer: 972","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 3\/4 in -4, -5, -3?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 3 (base 7) in base 9?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is -12 - (-2 + -2 - 17)?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 57 - -1 - (519 + -538) - -11?\nAnswer: 88","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 1455021002?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let y(j) = -3*j**3 - 10*j**2 - 6*j - 11. Let z be 0 + 9\/(45\/(-20)). Let a(r) = 5*r**3 + 19*r**2 + 12*r + 21. Let d(g) = z*a(g) - 7*y(g). Determine d(7).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -0.5, -0.246, -51, -5 in decreasing order.\nAnswer: -0.246, -0.5, -5, -51","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 1486673?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 459275 to the nearest integer?\nAnswer: 678","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 948064 and 48.\nAnswer: 2844192","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 68726052.\nAnswer: 2, 3, 97, 19681","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-2)\/(-2)*0\/338?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 7219.05 - 7610. Let w = 391 + c. Which is smaller: -1 or w?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 111\/22 and 73\/22.\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 6\/5 of a centimeter in millimeters?\nAnswer: 12","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Factor 4*f**3\/7 - 708*f**2 + 4952*f\/7.\nAnswer: 4*f*(f - 1238)*(f - 1)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 h and 2 a when three letters picked without replacement from hahahahahhhhhhhhhhhh.\nAnswer: 8\/95","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-3290)\/2632)\/(-5 + (-705)\/(-140)).\nAnswer: -35","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 73 - 93 = -4*w. Solve 3*c + 8 = 2*c - w*o, o = -4*c - 13 for c.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(n) = n + 2. Let d be p(-3). Let c be (-3 - d)*6\/(-4). Suppose c*t + 285 = 4*m, -5*m = t + 117 - 459. Is m a multiple of 23?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(r) = r**2 + 8*r + 2. Let o be b(-8). Solve 6 = -2*g - o*w, 5*g - w - 11 = 2*g for g.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -548\/7 + 78. Which is the third smallest value? (a) s (b) -0.2 (c) 0.5 (d) 0\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*r - 2*b - 43 + 11, -73 = -3*r - 2*b. Let h = -20 + r. What is the greatest common divisor of h and 5?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: -2 + 29 - (-9 + 21)\nAnswer: 15","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Determine a so that -3*a**3 + 99044883*a**2 + 198089775*a + 99044889 = 0.\nAnswer: -1, 33014963","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*z - 24 = 2*f, -5*f + 4*z - 133 + 124 = 0 for f.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 334146 is divided by 204.\nAnswer: 198","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let g(x) = -x - 51. Let c be g(-10). Let f = -50 - c. Which is greater: 1.1 or f?\nAnswer: 1.1","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 2801419 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Convert 1245ba8 (base 12) to base 14.\nAnswer: 6917a0","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let g(u) = 5 - 13 + 9 + 3*u. Let n(d) = d - 1. Give g(x) + n(x).\nAnswer: 4*x","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 163412037*i**3 + 206*i**2 - 264972 wrt i?\nAnswer: 980472222","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let y(t) = 8*t**3 - 4*t**2 + 5*t - 2. Let p(u) = -u**3 + u**2 - u + 1. Determine 4*p(x) + y(x).\nAnswer: 4*x**3 + x + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 12964 to the power of 1\/2, to the nearest integer?\nAnswer: 114","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*l + 274 - 54 = 0. Let n = 43 - l. Is n - 1\/(-1) - (-488 + -1) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 1818?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Are 1 and -2\/89941633 non-equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: 0.02 * -246\nAnswer: -4.92","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*h - 0*h - 164. Let m = -17 - h. Calculate the greatest common divisor of m and 6.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 627334527 and 3?\nAnswer: 627334527","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*s = -y - 9, 0 = 8*y - 4*y + 5*s + 14. Let g be ((0\/(-2))\/y)\/(-1). Suppose -3*v + 19 + 17 = g. What is the tens digit of v?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c be ((-3)\/(-1) - 7 - 0) + 8. Let v be (-4)\/(-10) + (-6)\/15. Solve 4 + v = c*f for f.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 15680*z**2 + 560*z + 5.\nAnswer: 5*(56*z + 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*u + 15 = -0*u. Let w be (u\/2)\/(3*6\/(-1464)). Suppose 132 = w*q - 119*q. List the prime factors of q.\nAnswer: 2, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -199\/5 + 10542\/265. Which is bigger: r or 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -4354500 to the nearest 10000.\nAnswer: -4350000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let d(h) = h**3 - 4*h**2 + 4*h - 8. Let a be d(5). Suppose -a*l - 34 = -38*l. Is 4 a factor of l?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 2*p + 4*p - 5*p + (0 - 1 + 0)*(-3*p + 0*p + p) + 2*p - 3*p + 4*p.\nAnswer: 6*p","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Factor 3*v**2 + 15*v.\nAnswer: 3*v*(v + 5)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 16*i**2*y - 202015*i**2 + 10*i*y**3 - 49*y**3 wrt y.\nAnswer: 16*i**2 + 30*i*y**2 - 147*y**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let c(b) = -15*b**2 - b. Let a(o) = 1430*o**2 + 8*o - 3960. Let j(l) = a(l) + 5*c(l). What is the first derivative of j(u) wrt u?\nAnswer: 2710*u + 3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 300 + -300. Let f be y\/(-77) + (48\/26 - 2). Which is the closest to -11? (a) -0.5 (b) -2 (c) f (d) 2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth smallest value in -3, -24, 6, -41, 0.6, -1\/2?\nAnswer: 6","meta":{"dup_signals":{},"source":"comparison__kth_biggest_test"},"subset":"dm_maths"} +{"text":"Question: ((-4)\/(-7) - 4) + 6\/2\nAnswer: -3\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Put -2, 69, 4 in descending order.\nAnswer: 69, 4, -2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {s: 1, p: 1, k: 1, w: 11, r: 4}. What is prob of sequence wksr?\nAnswer: 11\/18360","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Work out -2 * -8.9.\nAnswer: 17.8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -11*k + 337*k**2 + 11*k.\nAnswer: 337*k**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 77601 to the nearest integer?\nAnswer: 43","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-5 + y + 3 + 4)*((17 - 4*y**2 - 17)*(-1 + 0 + 2) + y - y**2 - y).\nAnswer: -5*y**3 - 10*y**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (-2)\/(-10) + (-99)\/(-55). Suppose 52 - 196 = -u*k. Calculate the highest common factor of k and 24.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(r) be the second derivative of 2*r + 3\/40*r**5 + 0*r**2 - 47 - 1\/4*r**4 - 1\/120*r**6 + 1\/3*r**3. Let j(g) = 0. Calculate g.\nAnswer: 0, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -326 + 321. Let x = -6.9 + 7. Let n = -0.9 - x. What is the third biggest value in 4, 0.4, v, n?\nAnswer: n","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(t) = -t**2 + 0*t**2 - 4*t**2. Suppose -3*p - y - 1 = 0, 0*p + 5*y - 11 = p. Let l be j(p). Let k(r) = -r**2 - 4*r + 5. Calculate k(l).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -200022710*k**4*t**3 + 3*k*t**2 + 38237*t**3 + 528 wrt k.\nAnswer: -2400272520*k**2*t**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Convert 33 (base 6) to base 4.\nAnswer: 111","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 23*p - 21*p = 36. Calculate the lowest common multiple of 42 and p.\nAnswer: 126","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -14*j + 174*f = 178*f - 2, 5*j = -2*f - 1 for j.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 8889 - 3840. What is the units digit of f?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -9*v - 251 - 199 = 0. Let r = 91 + v. Let x = 46 - r. Solve 0*f = x*f + 25 for f.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(a) = a**3 + 5*a**2 + 6*a + 3. Let x be m(-2). Suppose -4*j + x = q - 7, 0 = -q + 2*j - 2. What is the lowest common multiple of -2 + -2 + 6\/2 + 2 and q?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-8)\/(-66)*39\/(-2)*(-46090)\/4190.\nAnswer: 26","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -35*t**5 + 4*t**2 + 32 - 72 + 35 wrt t.\nAnswer: -2100*t**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -n**3\/3 - 1447*n**2\/3 - 22960*n\/3 - 30528.\nAnswer: -(n + 8)**2*(n + 1431)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((2 + 2*sqrt(17) + -5)*3)**2.\nAnswer: -108*sqrt(17) + 693","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is -266ae2 (base 15) in base 5?\nAnswer: -433021322","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*f + 0*f = 5988. Let c = f + -626. What is the hundreds digit of c?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (4 + -8 - 3) + 4 + -1 - -13?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 55\/1412 and 49.\nAnswer: 1412","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Express -22*v - 1 + 5*v + 1 as y + g*v and give g.\nAnswer: -17","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 62 and 186.\nAnswer: 186","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*j - 6*j + 2040. Let h be (1 - 2\/3)\/(5\/j). What is the first derivative of -h*u**3 + 2 + 0 + 16*u**3 wrt u?\nAnswer: -54*u**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 359b5 (base 13) to base 6.\nAnswer: 2035133","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 12*a = 2343 + 4485. Is 13 a factor of a?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -260 - -2338\/9. What is the closest to q in 6, -4, 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -0.69 + 0.6900543. What is x rounded to five decimal places?\nAnswer: 0.00005","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 1392 and 144?\nAnswer: 48","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: -298b (base 14) to base 5\nAnswer: -214000","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 29482.\nAnswer: 2, 14741","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let a(f) = 3*f**3 + 36*f**2 - 96*f - 3. Determine a(3).\nAnswer: 114","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 376374?\nAnswer: 2, 3, 149, 421","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 20 and 12655?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 55 - 58. Let h = x - -19. Calculate the smallest common multiple of h and 8.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 41*g = 43*g - 152. Calculate the remainder when g is divided by 11.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of 10, 33, 72, 127, 198?\n\"Answer: 8*o**2 - o + 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Convert 270684.8 days to nanoseconds.\nAnswer: 23387166720000000000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let b(g) = -65*g + 3. Suppose 2*z - 4*k - 8 = -k, -5*z + 2*k + 9 = 0. Let f be b(z). Let w = -12 - f. Is w a multiple of 18?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -303211 (base 6) in base 8?\nAnswer: -56767","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 864076 and 2910?\nAnswer: 12961140","meta":{"dup_signals":{},"source":"numbers__lcm_test"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((26\/(-4))\/(-1))\/((-1737)\/6948)?\nAnswer: -26","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (-8)\/20*2*1\/(-6). Let t be 16\/18*3 - 3. Which is the nearest to t? (a) n (b) 3 (c) -16\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 11 divide 201187?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (-127530)\/(-75) - (-3)\/5. Let z = -1145 + r. Suppose -5*j - 3*w + 692 = w, 4*w = -4*j + z. What are the prime factors of j?\nAnswer: 2, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find g, given that 9*g**3\/4 - 5621*g**2\/2 + 14306*g = 0.\nAnswer: 0, 46\/9, 1244","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let l(s) = 0*s**2 - 5 + s**2 + 6. Let i(k) = -2*k + 12. Let t be i(8). Let q(u) = -3*u**2 + 2*u - 4. Calculate t*l(a) - q(a).\nAnswer: -a**2 - 2*a","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let n(a) = 2*a**2 + 20*a + 28. Calculate the least common multiple of n(-10) and 28.\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(m) = -127*m - 121. Calculate the lowest common multiple of z(-1) and 458.\nAnswer: 1374","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Total of 50653190.9 and -8577.\nAnswer: 50644613.9","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose l = -4*v - 4, -3*l - 2*v - 12 = -6*v. Let a be (-5)\/l + 1 - (-729)\/972. Solve a*m = -0*m - 12 for m.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -2136.50339 take away -361.913?\nAnswer: -1774.59039","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-1)\/(6\/2*(-3)\/(-27)).\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is -3136\/2727 smaller than 0?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -107\/4233510 and 71\/168.\nAnswer: 118538280","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 31 - 27. Find the first derivative of -2 - f**4 - 7 - 3*f**z + 10*f**4 wrt f.\nAnswer: 24*f**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 29*x - 8*x**3 - 29*x - 63*x**3 + 86*x**3.\nAnswer: 15*x**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let w(o) = 2*o - 4. Let k be w(7). Let f(n) = -233*n - 200*n - n**3 - 14 + 684*n + 7*n**2 - 218*n. Let j be f(k). What is the highest common factor of j and 40?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 15 a factor of 1112?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve 344*r - 1925 = 519*r for r.\nAnswer: -11","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Sort 4, -2284, -158, 2 in ascending order.\nAnswer: -2284, -158, 2, 4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*d - 2*d = -5*w - 591015, 4*d + 2363985 = 5*w. What is d rounded to the nearest ten thousand?\nAnswer: -590000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -22 - -28. What is the remainder when ((-408)\/(-20))\/(m\/20) is divided by 23?\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(q) = q**3 - 46*q**2 + 6*q + 107. Does 23 divide s(48)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 140 is divided by 82?\nAnswer: 58","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 32 - 62 - (2 + 3 + -1 - -2)?\nAnswer: -36","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let w be 9\/4 + 2\/(-8). Let i be 8\/18*(-3)\/w. Let o = i + 1\/6. Which is the nearest to -1\/4? (a) o (b) 0.3 (c) 4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (-5)\/15 - 7\/(-21). Suppose l = -4*w - 3*m + 2485, w = -3*m + m + 620. List the prime factors of w.\nAnswer: 2, 311","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 31834572*r**3 + 191007440*r**2 + 286511196*r + 72.\nAnswer: 4*(r + 3)**2*(7958643*r + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 1896788, 3793577, 5690366, 7587155, 9483944?\nAnswer: 11380733","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0? (a) -314 (b) -21\/86 (c) 4\/15\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 290415?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*r - 7 = 23. Solve 3*k = -2*m + 9, 2*k - 6 + 0 = -r*m for k.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 39 a factor of 2680743?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((a**(-2\/13)\/a*a)\/a)**(-32\/3))**(-3\/5) assuming a is positive.\nAnswer: a**(-96\/13)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 112 + w**3 + 68 - 180 - 32*w**3.\nAnswer: -31*w**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is -24b + -4?\nAnswer: -251","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let o(y) = 364619*y**2. Let u(j) = -2*j**2. What is o(u(k))?\nAnswer: 1458476*k**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is 10 - 12112000211?\nAnswer: -12112000201","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -0.4 + -2.6. Which is the biggest value? (a) 2 (b) w (c) 1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 1278?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 9278384 to the power of 1\/2, to the nearest integer?\nAnswer: 3046","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -17 + 40. Suppose 0 = -4*q + 87 - w. Let c be 196\/q + (-1)\/8*2. Solve 0 = -2*y - y + c for y.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 1333 (base 4) to base 11.\nAnswer: 106","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is -109525 divided by 209?\nAnswer: -109525\/209","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -34045 or -34046?\nAnswer: -34045","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is -9 - 1922765?\nAnswer: -1922773","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -1201\/3 + 401. Which is the closest to -0.1? (a) 0 (b) -5 (c) n (d) -4\/3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -3\/124 and -91\/144.\nAnswer: 4464","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Round -494.6713 to one decimal place.\nAnswer: -494.7","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 534587 and 421247?\nAnswer: 1889","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*q - r = 3 + 3, -4 = -4*q + r. Factor 12*h**3 + 8*h**2 - 6*h**3 - q*h**3 - 24*h - 8*h.\nAnswer: 4*h*(h - 2)*(h + 4)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ao when two letters picked without replacement from mooaoaoooosaoya.\nAnswer: 16\/105","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 1970005547?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.0090759 to three dps.\nAnswer: 0.009","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 3123 to the nearest integer?\nAnswer: 56","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*o**4\/7 - 2*o**3\/7 - 18*o**2\/7 + 18*o\/7 = 0. Calculate o.\nAnswer: -3, 0, 1, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 7 + 16. Suppose 0 = -5*y - 3 + h. Solve 3*l = -5*d + 30, -y*d + 2*l + 37 = 7*l for d.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 678 a multiple of 14?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Convert 46212 (base 7) to base 14.\nAnswer: 4409","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange n**2 - 3*n**2 + 8*n**2 - 1 to m + x*n**2 + q*n and give x.\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*l - 2*l = 4*y + 24, 0 = -2*l + 3*y + 23. Let f be (-2)\/6 - (-7)\/3. Suppose 0 = -m - f*m + 15. Solve -l*i - 3 = m for i.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 73248 and 14824.\nAnswer: 872","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of (88\/(-5))\/((-4)\/20) and (12*(-12)\/(-54))\/(649\/(-132) - -5)?\nAnswer: 352","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 78391057 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: How many nanograms are there in 4.123637g?\nAnswer: 4123637000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let k(y) = 16574*y**2 - 8*y + 6. What is the units digit of k(1)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 152036?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Factor -5*t**3 - 670*t**2 - 6815*t - 6150.\nAnswer: -5*(t + 1)*(t + 10)*(t + 123)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 5254 and 46176.\nAnswer: 74","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -0.07 - 0.43. Let p = 0.34 - -0.16. What is the nearest to -0.5 in b, p, -0.4?\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 8*z + 13*z - 102*z in the form p*z + l and give p.\nAnswer: -81","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 372294201 divided by -6?\nAnswer: -124098067\/2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let m(a) be the second derivative of -a**5\/20 - a**4\/4 - a**3\/6 - 3*a**2\/2 + a. Suppose 4*g + 10 = -6, -2*d = 4*g + 24. List the prime factors of m(d).\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -6*m**5 + 16*m**4 + 126*m**3 + 13780*m**2 + 2*m - 1?\nAnswer: -360*m**2 + 384*m + 756","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Put -0.1, -5570, -4\/9, -3 in decreasing order.\nAnswer: -0.1, -4\/9, -3, -5570","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let q(k) = 14*k**2 + 2*k + 3. Let i = 77 - 78. What is the smallest common multiple of ((-39)\/26)\/(1\/(-16)) and q(i)?\nAnswer: 120","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(r) = 49*r**3 + 9*r**2 + 17*r + 8. Let m be n(11). Suppose -m = -9*w - 110. Is w composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -184*j = -564*j + 127*j + 174*j + 5688 for j.\nAnswer: 72","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (2*sqrt(5040))\/((2*sqrt(5) - sqrt(5))*2).\nAnswer: 12*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 - 1\/5*r**2 + 2\/5*r = 0. What is r?\nAnswer: 0, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 23868371 + 5934*c - 23868371 to the form i + v*c and give v.\nAnswer: 5934","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Sort -5\/8, 4\/9, -1, 0.408, -0.5 in descending order.\nAnswer: 4\/9, 0.408, -0.5, -5\/8, -1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between 0.0279 and 233537996425?\nAnswer: 233537996424.9721","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -8*i**3*j - 234256*i*j + j - 3410813 with respect to i.\nAnswer: -24*i**2*j - 234256*j","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let o(a) = -19*a**2. Let s(q) = -13*q**2 + 3. What is o(s(h))?\nAnswer: -3211*h**4 + 1482*h**2 - 171","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Does 21 divide 1201650494?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:41 AM and 11:20 AM?\nAnswer: 39","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is -2 - -585?\nAnswer: 583","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let a be 0*(-3)\/((-45)\/15). Solve 3*r - 26*f + 25*f + 11 = a, 2*r + f = -4 for r.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -9*i - 53 = -14*i + 3*h, 0 = 2*i + 3*h - 17. Suppose 5*m - i = 4*s, -s + 6*s = 0. Factor 0*v + 0 + m*v**3 + 8\/7*v**2.\nAnswer: 2*v**2*(7*v + 4)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 16606*w + 16604*w - 32976*w.\nAnswer: 234*w","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 45\/1230896 and -21\/160.\nAnswer: 12308960","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 3*w - 4*j - 4 + 9, -3*w - 4*j = 13 for w.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is -2800.8658 rounded to the nearest one hundred?\nAnswer: -2800","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {i: 6, e: 7, r: 4}. Give prob of picking 1 i and 3 r.\nAnswer: 6\/595","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-3*(-3 + sqrt(25)\/sqrt(5)))**2 - (1*sqrt(1470))\/sqrt(6).\nAnswer: -61*sqrt(5) + 126","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose n + 50 = -3*b, -2*b + 2*n - 28 = 4*n. Let t be 4\/18 + 40\/b. Let u = 41 - 46. Put t, 3, u in increasing order.\nAnswer: u, t, 3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(r) = -54*r**3 - 48*r**2 - 6. Let b(f) = f**3 - f**2 - 1. Suppose 22 = 2*u + 24. Let z(m) = u*p(m) + 6*b(m). What is the third derivative of z(d) wrt d?\nAnswer: 360","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (-1)\/(-3) - 42\/(-9). Suppose 0*x = 5*x - 10. Solve -l*f - z = -5, x*f - 6*f = 3*z - 4 for f.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 9ab4b7 (base 13) in base 4?\nAnswer: 31323222100","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Express ((-3*b - b + 2*b)*(3 - 3 + 1) + 1 - 1 + 5*b + 6*b - 4*b + b)*(-17*b**2 - 235 + 235) in the form v*b**2 + s*b**3 + d*b + w and give s.\nAnswer: -102","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*n - 1 + 7 = 0. Let p(k) = 3*k**2 + k - 5. What is the remainder when 52 is divided by p(n)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 4*m + 2*t - 4, 19*m + 4*t = 18*m + 15 for m.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -7\/2 in 1\/2, 0.1, -0.5, 2?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is -1263030005 - -4?\nAnswer: -1263030001","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 8765 is divided by 25?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*d = 6*d - 20580. What is the thousands digit of d?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w be 2\/(-7) - (-652)\/910. Let k = w - 3\/13. Find n, given that 2\/5*n**2 - 1\/5*n + 0 - k*n**3 = 0.\nAnswer: 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of -43, -159, -353, -625, -975, -1403, -1909?\n\"Answer: -39*x**2 + x - 5","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -647, -1282, -1897, -2492, -3067, -3622, -4157?\nAnswer: -4672","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-1)\/(-2))\/(2\/10)*(-5676)\/(-25542).\nAnswer: 5\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Put -1\/55579, 3, 3\/34 in descending order.\nAnswer: 3, 3\/34, -1\/55579","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: 0.3 times -22651\nAnswer: -6795.3","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let p be 8608250\/(1\/(-2) - (-1155)\/2200). What is p rounded to the nearest one million?\nAnswer: 344000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:17 PM and 8:12 AM?\nAnswer: 595","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let f be ((-32)\/(-120))\/(1\/12) - 4. Let o = 3.97 - -0.03. Let g = 0.09 + 0.01. Which is the third smallest value? (a) g (b) o (c) f\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 21 divide 1259?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (o\/(o*o**(-5))*o*o\/(o**3\/o))**(-1\/34) assuming o is positive.\nAnswer: o**(-5\/34)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -p - 2*h + 43, 204 = 5*p - 2*h + 49. What is the highest common divisor of 3 and p?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 8 a factor of 177?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let p(r) = -r**3 - 2*r**2 + 126*r + 26. What is p(9)?\nAnswer: 269","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let w be ((-5)\/(-12))\/((-90)\/162). Which is smaller: -0.79 or w?\nAnswer: -0.79","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(x) = -x**3 + x**2 + 5. Let g be m(0). Let k = -3 + g. Let l(n) = -6*n**k + n**2 + 2*n**2. Let j(s) = -2*s**2. What is l(j(c))?\nAnswer: -12*c**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 10001011010110000 (base 2) in base 9?\nAnswer: 117771","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (1\/2)\/((-1)\/6). Let u be (0 - 1)*(b + 0). Let i(k) = 0 - k + k**u + 3*k - 2*k**2 - k**2 + 2. What is i(2)?\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -0.01 + -20.99. Let q = -17.7846 + -0.2154. Let r = i - q. What is the closest to 2 in 5, 3, r?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (w*w*w**(-3)*w*w**(-3\/5)*((w\/w**(-1))\/w*w)**(-23))\/(w*w\/w**1*w*w*w**4*(w*w**(-2))\/((w*w\/w**(-1))\/w)) assuming w is positive.\nAnswer: w**(-253\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 148300 is divided by 651?\nAnswer: 523","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let t(m) be the second derivative of -1\/12*m**4 - 5\/2*m**3 - 80*m - 12*m**2 + 0. Calculate t(-13).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -4, 6, 5, 63, -0.2.\nAnswer: -4, -0.2, 5, 6, 63","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (738\/4)\/((-13)\/(494\/(-171)))?\nAnswer: 41","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (-4)\/(-10) + 2\/(-5). Let d be (-12 + (2 - -10))*(43 + -42). Solve f*c - 6*c = d for c.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 9.22 - 0.22. Let l = 103962 - 103980. What is the smallest value in 0.2, c, l?\nAnswer: l","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2269.\nAnswer: 2269","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -1263*g**5 - 27716*g**3 - 248535036*g**2?\nAnswer: -75780*g**2 - 166296","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let m(w) = -25*w - 9*w - 38*w - 1. Is m(-1) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 4303125.\nAnswer: 3, 5, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((i\/(i*i**40))**(-44)\/(i**25)**(-50))**(3\/14) assuming i is positive.\nAnswer: i**645","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 33225040 (base 6) in base 14?\nAnswer: 1c010c","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: (3 + 0 - -3) + -10\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let v(a) = 4*a**2 - 111. What is v(11)?\nAnswer: 373","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is eleven halves of a minute in seconds?\nAnswer: 330","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 4026 is divided by 1182?\nAnswer: 480","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 85*u**2 - 62*u**4 + 106*u**4 - 35*u**4 - 1 to the form w*u**4 + o*u**3 + z + j*u**2 + k*u and give w.\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -53\/13320 and 149\/2504880.\nAnswer: 92680560","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let w be 161\/(-7) + (-8 - -30). What is the closest to 2\/7 in w, 3\/7, 0.71?\nAnswer: 3\/7","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -3\/53 + 271\/106. Factor 0 - c**3 - a*c**4 + c + 5\/2*c**2.\nAnswer: -c*(c - 1)*(c + 1)*(5*c + 2)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 195094663 to the power of 1\/6, to the nearest integer?\nAnswer: 24","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (w*w\/w**(5\/4))\/(w\/w**(1\/19))*w\/w**(3\/5)*w\/((w\/(w*w**(2\/11)*w))\/w) assuming w is positive.\nAnswer: w**(14147\/4180)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -2*c**5 - 5*c**4 + 427*c**3 + 3322*c**2 + 6*c wrt c.\nAnswer: -120*c**2 - 120*c + 2562","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between -711 and 1791?\nAnswer: 2502","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((x**(-7)\/x)\/x**(-2\/25))**(3\/11) assuming x is positive.\nAnswer: x**(-54\/25)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 11 + 10. Suppose -2*u + 177 = y. Suppose -2*q = q - u. Calculate the greatest common divisor of q and 39.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 2141875199?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Does -119 = 0?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let o(g) = -g**3 + 8*g**2 + g - 2. Let x be o(8). Let f be (-32)\/(-10)*(x - 1). Calculate the highest common divisor of f and 4.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in -0.1, -0.3, 2\/11, -19?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let h(z) = 2*z**2 + 2*z - 2. Let o(k) = -4*k**2 - 5*k + 5. Let a(f) = -5*h(f) - 2*o(f). Let n(r) = -4*r. Give n(a(c)).\nAnswer: 8*c**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -0.8? (a) -1 (b) -0.4 (c) -0.02 (d) 3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Work out -26283 + 1.7943.\nAnswer: -26281.2057","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let o be 1*-2*(-1)\/127. Let p = 248\/381 + o. Let h = 103 - 95. Put p, 0.2, h in decreasing order.\nAnswer: h, p, 0.2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1 times 7760?\nAnswer: 7760","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.00000125341 to 7 decimal places.\nAnswer: 0.0000013","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve 79675 + 42836 = 3889*u + 13619 for u.\nAnswer: 28","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 11 + -5. Let s(l) = 2*l**2 + 3*l**2 - 4*l**2 - 7*l + 6. Let h be s(q). Solve h = 2*a + 2*a for a.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:03 PM and 1:53 AM?\nAnswer: 710","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 509 is divided by 32.\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Put 0.1, 2\/21, 11, 5, -5752 in decreasing order.\nAnswer: 11, 5, 0.1, 2\/21, -5752","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -143\/288 + 23\/32. Let u = -1.4 - -1. Let b = -0.45 - u. Put -2\/3, q, b, -2 in decreasing order.\nAnswer: q, b, -2\/3, -2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 80 and 90?\nAnswer: 720","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let s(b) = -6*b - 2*b - 6 + 2*b. Let l be s(-5). Suppose u = -5*r + 48, 0 = 5*r - 4*u - 9 - l. Calculate the lowest common multiple of r and 4.\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a be -3*(267\/(-9) - -2). Suppose 6*j = 13 + a. Let t(c) = -16 + j + 2*c - c. Let y(o) = 10*o**2. Give t(y(d)).\nAnswer: 10*d**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose t - 2 = -0*t. Suppose 4*p - 3*h - 824 = -0*h, -t*h = -p + 211. Is p a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 73.50061 litres to millilitres.\nAnswer: 73500.61","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 224 and 5040.\nAnswer: 112","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Does 49 divide 13769?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((z\/z**17*z)\/(((z*z*z*z**(-4\/5)*z)\/z)\/z))\/((z*z**(-8))\/z**(-18)) assuming z is positive.\nAnswer: z**(-136\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (14\/(-21))\/(2\/(-6)). Let a be z\/(-5) - (-84)\/160. What is the second biggest value in a, -1, 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(c) = -c + 3. Let k = 3 - 1. Suppose -b + d = 4*b + 37, 18 = -2*b + k*d. List the prime factors of u(b).\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 196795 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (-8)\/2*5\/(-4). Suppose 5*v = 2*a - 21, 2*a + 5*v = 1 - 10. Find the second derivative of 0*l**3 + 4*l + 4*l**a - f*l wrt l.\nAnswer: 24*l","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 8 a factor of 1448540681?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is 180731 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 3630 - -14436. List the prime factors of m.\nAnswer: 2, 3, 3011","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in -0.4, -0.6, 1\/556, -3?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is -1.31754258 equal to -1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose m = -5*k - 17, -k + 6*k + 25 = 0. Let c be (-2640)\/(-9)*300\/m. Suppose -7*s + c = -8*s. Round s to the nearest ten thousand.\nAnswer: -10000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(p) = p + 11. Let v be j(-6). Suppose -g + 4*u - 2 = 4, 0 = v*u - 10. Suppose -2*s + f - 9 = 0, g*s + 2*f + 27 = -3*f. Which is bigger: 0 or s?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: -0.01019*-0.4\nAnswer: 0.004076","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*a + 4*a - 7. Is a at least 2\/223?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1462 to the power of 1\/3, to the nearest integer?\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 141*o - 2 - 372084*o**2 + 1977*o**3 + 965*o + 372084*o**2 wrt o.\nAnswer: 11862*o","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(m) = -8*m**2 + 10*m + 6. Give a(-1).\nAnswer: -12","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 16568, 16565, 16572, 16595, 16640, 16713, 16820, 16967?\nAnswer: 17160","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 7 + -6 + 4 + -1.\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 309.308 decades in millennia?\nAnswer: 3.09308","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let s(l) be the second derivative of 5*l**3\/6 + 185*l + 3. Let t(m) = -6*m. Give 4*s(y) + 3*t(y).\nAnswer: 2*y","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (4 - -1) + 3*-1. Let a be (-4)\/(-3)*(z + 1). Find the second derivative of 5*i + 5*i - i - 6*i**4 + i**a wrt i.\nAnswer: -60*i**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(b) = -105*b**2 + 29*b - 8. Let n(r) = -230*r. Calculate n(y(f)).\nAnswer: 24150*f**2 - 6670*f + 1840","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -26\/11 and -13\/1359.\nAnswer: 14949","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is 11 + 27?\nAnswer: 38","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from jawdblw. Give prob of sequence baj.\nAnswer: 1\/210","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of 93, 68, 25, -42, -139, -272?\n\"Answer: -n**3 - 3*n**2 - 9*n + 106","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 739 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: ((-4)\/48)\/(45*-9*1\/216)\nAnswer: 2\/45","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*c - c + 180. List the prime factors of 24\/c + (-158)\/(-6).\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -25430000 rounded to the nearest 1000000?\nAnswer: -25000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: -1 + 6 + 11 + (52 - 58)\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -6028.78794 + 6029. Let d = 0.214 - s. Round d to 4 decimal places.\nAnswer: 0.0019","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 463 + -295. Let x be -8 + 1379\/i + (-2)\/(-16). Determine k so that -1\/3*k**2 + 0 + 2\/3*k - x*k**3 = 0.\nAnswer: -2, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(r) = -7*r**3 + 56*r**2 - 39*r + 309. Determine v(8).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -4 + 8 + -4 + -8 + 1258 + -1211.\nAnswer: 39","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let b(q) = q**3 - 11*q**2 + q + 14. Calculate the remainder when b(11) is divided by 7.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 37 divided by 24858.\nAnswer: 37\/24858","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 27409 + -19071. What is the second derivative of 8338 + 73*w - o - 77*w**2 wrt w?\nAnswer: -154","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 1\/(-12) + 74717\/(-12)*-5?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(d) = -5*d - 3. Determine y(-2).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify w**15\/((w\/(w\/(w*w**(-22)*w))*w)\/w)*(w\/w**(5\/7))\/w**(-2\/3) assuming w is positive.\nAnswer: w**(755\/21)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let m(j) = 2*j - 12. Let u be m(6). Suppose u = 3*w + 213 - 1530. Is w composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -2*(sqrt(1900) + sqrt(19)) + 4.\nAnswer: -22*sqrt(19) + 4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in -72, -61, -2\/19, 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Sort 137\/10, 0.2, 2\/5, -2, -18.\nAnswer: -18, -2, 0.2, 2\/5, 137\/10","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (y**15\/y)\/(y\/y**28*y) assuming y is positive.\nAnswer: y**40","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let h(w) = w**2 - 12*w - 6. Let l(r) = 14*r - 12*r - 5469 + r**2 + 2729 + 2735 - 13*r. What is -5*h(s) + 6*l(s)?\nAnswer: s**2 - 6*s","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let x(m) = 10*m**2 + 49*m + 5. Let t(o) = o**3 + 2*o**2 + o + 1. Determine -5*t(q) + x(q).\nAnswer: -5*q**3 + 44*q","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of (-2 + 146\/64)*(-31 - -3) and 17\/10.\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*r = -50 + 58 for r.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0 + 4 - 6)*(1 + b - 1) + 2*b - b - 2*b + 25 + 8*b + 6*b - 24*b.\nAnswer: -13*b + 25","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -1.001 - -90.401. Let f = h - 89. Let o = 11\/9 - 25\/18. Which is the closest to 0.2? (a) o (b) f (c) 1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 3 - 10. Let a = t - -10. Let m = a - 3.4. What is the nearest to -1 in 2\/9, m, 1?\nAnswer: m","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*f = -4*f. Suppose 4*r + 14 - 142 = f. Does 4 divide r?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -22*l - 110 - 70 = 128 for l.\nAnswer: -14","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let u be 12\/(-8) - 15580\/1320. Let p = 47\/3 + u. Let r = -68346 + 4784329\/70. Find the common denominator of r and p.\nAnswer: 770","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(o) = -o**2 + 80*o. Let y(x) = -45*x + 45. Let i(f) = 23*f - 20. Let m(b) = 9*i(b) + 4*y(b). Calculate d(m(p)).\nAnswer: -729*p**2 + 2160*p","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*j**2\/5 + 126*j\/5 + 52.\nAnswer: -2*(j - 65)*(j + 2)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 527\/462 - -81\/154. Let c(d) be the first derivative of 0*d**5 + u*d**3 + 0*d**4 + 0*d**2 + 0*d + 11 + 1\/6*d**6. Find the third derivative of c(r) wrt r.\nAnswer: 60*r**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*q + 27 - 213 = 0. What are the prime factors of q?\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 4 by -236.\nAnswer: -1\/59","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Product of -0.2 and -17749.3.\nAnswer: 3549.86","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -29716 divided by 391.\nAnswer: -76","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let t(g) = g**3 - g**2 - g + 2819. Is t(0) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(s) be the first derivative of -46 + 4*s + 1\/2*s**2. Calculate m(-8).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -o + 21 = 2*o - 3*z, 0 = 5*z - 5. What is the remainder when 30 is divided by o?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: -25 + 18 - (0 - 9 - -4 - -2)\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -3 - (-1 - (-3 - -6)) - 7.\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -5*d**4*k**3 + 8403161*d**4*k + 3*d**2*k**3 + 3*d**2*k**2 - d*k**3 - 105*d*k + 65376*k**3 wrt d?\nAnswer: -120*d*k**3 + 201675864*d*k","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 5 - 1. Determine c so that -4*c**2 - 7*c + 2 + 7*c + 4*c**v - 2*c**4 = 0.\nAnswer: -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {g: 3, p: 4}. What is prob of picking 3 p?\nAnswer: 4\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -16*a = -7 - 25. Solve -a*g + 4*k = 6 + 4, 3*g = 5*k - 14 for g.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: 3170325 divided by 1031\nAnswer: 3075","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*f + 9 + 16 = 0. Suppose 2*r - 240 = u + 81, 156 = r - f*u. Is r prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 4 divide 685?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of 17584, 17570, 17526, 17440, 17300, 17094, 16810, 16436?\n\"Answer: -2*a**3 - 3*a**2 + 9*a + 17580","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 4577*w**3 - 9716*w**2?\nAnswer: 27462","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 757731 to the nearest integer?\nAnswer: 870","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 21*k - 74181 = 7845. List the prime factors of k.\nAnswer: 2, 3, 7, 31","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 12*i**2*y**4 + 2*i**2*y + i*y - 745*y**5 + 325 wrt y?\nAnswer: 144*i**2*y**2 - 14900*y**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -1051, -2107, -3169, -4237, -5311?\nAnswer: -6391","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 917930, 1835902, 2753874, 3671846, 4589818?\nAnswer: 5507790","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((w**(-2\/5))**(2\/27))**(-8\/7) assuming w is positive.\nAnswer: w**(32\/945)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve 261*v + 749 + 817 = 0 for v.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let i(w) = 17225*w**3 - 325*w**2 - 650*w + 325. Let p(v) = -319*v**3 + 6*v**2 + 12*v - 6. Calculate 6*i(h) + 325*p(h).\nAnswer: -325*h**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.00046158111 rounded to five dps?\nAnswer: -0.00046","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (12 - 59) + 12 + -30 + 50.\nAnswer: -15","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let r be ((-3)\/(-6))\/((-2)\/8). Let y = r + 20. Let n = y + -17. What is the units digit of n?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(v) = v**3 - 3. Let c be w(2). Suppose -c + 31 = m. Suppose 21*a - m*a = -75. What is the remainder when 42 is divided by a?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*v = -13 - 37. Let j = v + 43. Does 23 divide j?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 112 - 25. Suppose -v = 2*v - p. List the prime factors of v.\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (456\/(-16))\/((-8)\/((-16)\/(-6))*16\/(-64))?\nAnswer: -38","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: 0 (base 8) to base 10\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Express (0*g + 0*g - 2*g)*(-8 - 7 - 6) + 1 - 4*g - 1 as l + r*g and give r.\nAnswer: 38","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (-50)\/(-6) - 4\/(-6). Let a be (-7)\/j - 2\/(-2). Let 2\/9*l**3 - a*l + 2\/9*l**2 - 2\/9 = 0. What is l?\nAnswer: -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.0001881056005 rounded to 7 decimal places?\nAnswer: 0.0001881","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of -1106, -1105, -1104, -1103?\n\"Answer: j - 1107","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 4647 or 4564?\nAnswer: 4647","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 448927155*g**3 + 383945*g**2 - g + 1?\nAnswer: 2693562930","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4 = -8*l - 5408*n + 5404*n, -l + 24 = -3*n for l.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -4 + -2 - (-1 + (3 - 3)).\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: 27 - (1 - (5 - 14)) - -1\nAnswer: 18","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 40.935 + -41. Let i = -35.065 - o. Let j = -38 - i. Which is the third smallest value? (a) j (b) 2\/11 (c) -4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -29*q = -26*q - 12 for q.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -592227*p**3 + 154561.\nAnswer: -1776681*p**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Does 4 divide 596540?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Express 16*g**3 - 104*g**3 - 77*g**3 - g**2 in the form d*g + z*g**3 + p*g**2 + l and give z.\nAnswer: -165","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -287 = -3*u - 2*f, 73*f + 4 = 71*f. Calculate the remainder when u is divided by 84.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*c - h + 75 = 0, 3*c - 3*h + 797 - 824 = 0 for c.\nAnswer: 14","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 138.077 - 0.077. Let h = -137.87 + g. Let w(u) = -u**2 - u. Let s be w(0). Which is smaller: s or h?\nAnswer: s","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.98465 to one dp.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 0 + (1 + sqrt(39)\/sqrt(75))**2.\nAnswer: 2*sqrt(13)\/5 + 38\/25","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 4*b + 2 - 3*b + 4.\nAnswer: b + 6","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0 in -38, -2, -0.1?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let t(k) = -4*k**3 + 5*k**2 + 9*k + 5. Let j(u) = -2*u**3 + 3*u**2 + 4*u + 3. Give 5*j(x) - 3*t(x).\nAnswer: 2*x**3 - 7*x","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let c(r) = 28*r**2 - 535*r + 2209. Determine c(6).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: How many months are there in nineteen quarters of a century?\nAnswer: 5700","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 t and 2 r when four letters picked without replacement from rrrbbrbgttrgrrr?\nAnswer: 4\/195","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify j**13\/(j\/(j\/(j\/(j*j**(-2\/3)))))*j**(3\/4)\/j**(3\/7) assuming j is positive.\nAnswer: j**(1063\/84)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -1099 + 1099 - 5*x**2.\nAnswer: -5*x**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 8 - 8. Suppose -b + 4 - 2 = x. Let u be (-3*4\/6)\/((-2)\/3). Solve 0 - 5 = -2*r + c, b*r - u*c - 7 = 0 for r.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.69829 rounded to one decimal place?\nAnswer: 0.7","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.0322388706 to 3 decimal places.\nAnswer: 0.032","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 13894468?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 81260452?\nAnswer: 2, 7, 13, 223243","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -3 + 1. Let w be (-599)\/78 + (-6)\/39 - -8. Which is the fourth biggest value? (a) u (b) 0 (c) w (d) 2\/9\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 9, 1, -6, -9 in decreasing order.\nAnswer: 9, 1, -6, -9","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 33 = f + 2. Suppose 4*i = f + 25. What are the prime factors of i?\nAnswer: 2, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -18\/67? (a) 7 (b) -2 (c) -3 (d) 5 (e) -1\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 514 - 289. Suppose 5*m = 5*h - y, h + 4*m - 9 - 26 = 0. Does 18 divide h?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*c - 5*q + 19 = 0, 5*q + 0*q - 7 = 4*c. Let u(y) = -2 + 2*y + y + 0*y + y**c. Calculate u(-4).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*v + 1881 = b, v - 2*b + 945 = 3*b. Let l = v - -2792\/3. What is the common denominator of l and (-9)\/(-2)*3\/(-15)?\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 8 = -5*v + 2*v - 5*o, -2*o - 7 = 5*v for v.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let f(w) = 14 - 28 + 2*w + 13. Calculate f(2).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 5562945 and 242703.\nAnswer: 2403","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let f be 14\/(-10) + 4*4\/16. Let m = -10 - -9. Which is the nearest to 1\/3? (a) f (b) -4 (c) m\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*y = -27 + 32. Solve -5*k + 5*l = 5, k + l = 4*k - y for k.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of 53, 85, 119, 155?\n\"Answer: f**2 + 29*f + 23","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in 5\/7, -2\/327, 37.21?\nAnswer: 5\/7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Sort 14728, -1, -2\/5, -3 in decreasing order.\nAnswer: 14728, -2\/5, -1, -3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 2\/2*231\/(-1848).\nAnswer: -1\/8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(x) = 36*x**5 - 2*x**4 + x - 91. Let y(q) = 179*q**5 - 11*q**4 + 6*q - 454. Let o(r) = 11*g(r) - 2*y(r). What is the second derivative of o(a) wrt a?\nAnswer: 760*a**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: -166 divided by 6\nAnswer: -83\/3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let m(g) = g**3 - 5*g**2 - 10*g. Let j(q) = q**3 - 6*q**2 - 10*q. Let u(o) = 4*j(o) - 3*m(o). Let z be u(10). Sort 2, z, -11.\nAnswer: -11, z, 2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -117a (base 16) in base 11?\nAnswer: -33a8","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 334777453*k**4*l - 383993014*l wrt k?\nAnswer: 1339109812*k**3*l","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 408 and 576552?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let n(r) = 3*r**2 + r. What is n(2)?\nAnswer: 14","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Put 0.2, -0.1, -41, -5 in ascending order.\nAnswer: -41, -5, -0.1, 0.2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -20 - -8 - (39 - (5 + 4)).\nAnswer: -42","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let q be 3*((-2)\/6 - 0). Let w(z) = -2*z + 2. Let t be w(q). Put t, 0, -1 in decreasing order.\nAnswer: t, 0, -1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 339*f + 169*f - 4373 - 5787 = 0 for f.\nAnswer: 20","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 301*h - 305*h + 2*j + 3508, -5*h = 4*j - 4372. Suppose 0 = 5*l - 79 - 1. Calculate the remainder when h is divided by l.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 160026424 to the nearest integer?\nAnswer: 543","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -8343054266*s**2 + 8343054266*s**2 + 100*s**3.\nAnswer: 100*s**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence gggg when four letters picked without replacement from {j: 1, d: 1, v: 4, g: 7, e: 4}?\nAnswer: 1\/68","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve 22*b - 243 = -5*b for b.\nAnswer: 9","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 625818 to the nearest integer?\nAnswer: 86","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let o(f) = 3*f**2 - 8*f + 2. Let p be o(-8). Suppose -4*h = -2*l - p, -l + 2 = l. Does 24 divide h?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 7676 less than 1?\nAnswer: -7675","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 906777 and 50403.\nAnswer: 159","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let r(s) be the third derivative of 13*s**4\/2 - 5*s**3\/2 + 24*s**2. Let h be r(5). Suppose 0 = 4*q - q - h. Is q a multiple of 51?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -78899.98 rounded to the nearest ten thousand?\nAnswer: -80000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*w = -w + 3. Suppose 0 = 3*t - f - 225, 0 = -4*f + 14 - 2. Suppose -326 = -w*z - 5*n + t, 5*z = -4*n + 683. What is the units digit of z?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -1 - 1. Calculate the remainder when (m\/(-7))\/((-2)\/(-28)) is divided by 4.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 5\/121531 = -2\/3?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in -0.2, -124332, 1.8?\nAnswer: 1.8","meta":{"dup_signals":{},"source":"comparison__kth_biggest_test"},"subset":"dm_maths"} +{"text":"Question: Suppose 34*r + 120 = -84. Let k(t) = 2*t**3 - 3*t**2. Let s be k(2). Put -2, s, r in descending order.\nAnswer: s, -2, r","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*c = 65*d - 60*d - 276, 4*c = -d + 52. Solve 72*h = d*h + 16 for h.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -m + 56 = 3*m. Let c be (8\/(-6))\/(2 + m\/(-6)). Suppose c*a + 12 = -b + 84, 0 = -b. What is the tens digit of a?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1211 a multiple of 173?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -581, -952, -917, -272, 1187, 3664, 7363?\nAnswer: 12488","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 41 = 13*v - 11. Solve 5*t = o, -v*t - 2*o + 0 = 14 for t.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (-4)\/3*9\/(-6). Suppose 0*c + c = 4*z - 101, 4*z = 3*c + 111. Suppose -z*l - 57 = -5*l. Put l, -15, 0, m in ascending order.\nAnswer: -15, l, 0, m","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(z) = -13*z - 215. Does 5 divide g(-40)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many micrometers are there in 17\/2 of a millimeter?\nAnswer: 8500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 12 + -12 + 12 - 6?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (-88)\/55 + (8 - 294\/35). Is o greater than -966?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(z) = z**3 - 3*z**2 - 4*z + 15. Let o be q(5). Is 45 >= o?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(w) = w**2 + 4*w + 2. Is a(-8) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((j*j**2)\/j)\/(j\/j**(-2\/13)))\/(j**5\/(j*j**(1\/4))) assuming j is positive.\nAnswer: j**(-151\/52)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 3180, 4244, 5308, 6372, 7436?\nAnswer: 8500","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence zyg when three letters picked without replacement from zzjzjjzjngyjzjgyzz.\nAnswer: 7\/1224","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let u(v) be the second derivative of -3*v**6\/5 - 7*v**4\/4 - 5*v. Find the third derivative of u(m) wrt m.\nAnswer: -432*m","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 356903 to the nearest integer?\nAnswer: 597","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 141 is divided by 105?\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-4 + 2 + 0)*(4 - 1 - 1)*(0 + 0 + x)*(-3*x**2 + 3*x**2 + 2*x**2).\nAnswer: -8*x**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of -2472, -9931, -22376, -39807?\n\"Answer: -2493*s**2 + 20*s + 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*c - 1398 = 4*n + 2*c, -3*n - 3*c = 1056. Let i = -116 - n. Calculate the highest common divisor of i and 33.\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 24*d**5 - 4*d**4 - 23*d**3 + 56264*d wrt d?\nAnswer: 480*d**3 - 48*d**2 - 138*d","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -381*l - 381*l + 763*l.\nAnswer: l","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 2651*g*y**3 + 2*g*y**2 + 40888*g*y - g - 5*y**3 - y**2 - 3*y wrt y?\nAnswer: 15906*g*y + 4*g - 30*y - 2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let x(k) = 185*k**2 - 181*k**2 + 1 + 4 + 5*k. Let t(f) be the second derivative of f**4\/6 + f**3\/2 + 3*f**2\/2 - 2*f. What is -5*t(s) + 3*x(s)?\nAnswer: 2*s**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let w(z) = -13*z**3 + 11*z**2 + 16*z + 13. Let x be w(-2). What is the highest common factor of x and 817?\nAnswer: 43","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (-40)\/100 - (-136)\/(-10). Let m = -4 - g. Solve -5*j + m = -5*x, -2*j - 3*x = -x - 16 for j.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 39 less than 41.7?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve -15*l - 31*x = -15*x - 19*x - 66, 5*l - 16 = -2*x for l.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 2705.61g in kilograms?\nAnswer: 2.70561","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 23 and 63756.\nAnswer: 63756","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let l(a) = -16*a - 2. Let n(i) = -11*i - 1. Let v(r) = -5*l(r) + 7*n(r). What are the prime factors of v(6)?\nAnswer: 3, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (29 - 9843\/170 - 2\/(-5)) + 4\/8.\nAnswer: -28","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is -5471998 greater than -5472074?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Which is the sixth biggest value? (a) -0.3 (b) 0.4 (c) 22 (d) 120 (e) -1\/2 (f) -0.6 (g) 4\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (1 - (-150)\/8) + (-1)\/(-4). Suppose 8 = z*p - 18*p. What is the highest common divisor of 8 and p?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 13 + -9. Let k = f - 5. Which is greater: -1\/3 or k?\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 10721?\nAnswer: 71, 151","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is -17 times 0.5?\nAnswer: -8.5","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is 224850727747 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is -110 + 10110100001010101000101?\nAnswer: 10110100001010100111111","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -0.104 or 0.13618?\nAnswer: -0.104","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1588895 is divided by 1854.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let a(d) = 4*d + 55. Give a(-13).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is 243443 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let j(r) = 5*r. Let h(l) = 4*l + 20. Let g be h(-5). Let n(c) be the third derivative of 2*c**2 + 0 + 1\/24*c**4 + g*c**3 + 0*c. Calculate n(j(s)).\nAnswer: 5*s","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 701398569?\nAnswer: 3, 1487, 157229","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1886*y - 8848 - 74037 = -9331 for y.\nAnswer: -39","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from viviii. What is prob of sequence iii?\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-2)\/(-18))\/((-18)\/198*-11).\nAnswer: 1\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2052882.\nAnswer: 2, 3, 13, 31, 283","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 121\/10752 and -87\/2.\nAnswer: 10752","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let j(s) = -s**3 + 48*s**2 + 5826*s - 218. Calculate j(104).\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 104*a + 227*a - 781*a + 5*a**2 + 227*a + 223*a.\nAnswer: 5*a**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in 3, -1\/228, 1\/12?\nAnswer: 1\/12","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Convert 10112100122211 (base 3) to base 8.\nAnswer: 7121677","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 853300.3 tonnes in nanograms?\nAnswer: 853300300000000000000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 141434 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: -2062 divided by -231\nAnswer: 2062\/231","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Convert -26 (base 15) to base 7.\nAnswer: -51","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 214 - 42*p**3 + 641 - 855.\nAnswer: -42*p**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 325136?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 650699 is divided by 13.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*t = -6*v + 3*v + 9, -2*t + 14 = -4*v for t.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 25981395 to the nearest integer?\nAnswer: 5097","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 6111758\/9 - 677903. Let w = -1184 + r. What is the common denominator of -14\/37 and w?\nAnswer: 333","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine j, given that -4*j**3 - 7616*j**2 - 4018256*j - 646786624 = 0.\nAnswer: -1156, -374","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let w(f) = -35*f**2 - 49*f - 21. Let s(v) = 18*v**2 + 28*v + 12. Let p(y) = 7*s(y) + 4*w(y). Let n(a) = 169*a**2. Calculate p(n(m)).\nAnswer: -399854*m**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Work out -4.1156 - -78.12.\nAnswer: 74.0044","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Convert 0 (base 8) to base 9.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:24 AM and 11:29 AM?\nAnswer: 605","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let s(r) = -r**3 - r**2 + 9. Suppose 2*q - 4 = 0, n + 10 = 4*q + 2. Is s(n) even?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 663 + -652 - (-2 + 9).\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 599832838?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let d(t) = -24*t**2. Let i(u) = -17 - 3*u + 2*u**2 + 37 + 16. Let g be i(7). Let n(s) = 61*s**2 + 55*s**2 - g*s**2. Calculate n(d(v)).\nAnswer: 1728*v**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 4163170287?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -19 - -28. Let t be (-24)\/9*p\/6. Let z = t - -11. What is the highest common factor of z and 7?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -14219*m - 1323 = -14246*m for m.\nAnswer: 49","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let i(v) = -7*v - 13. Let s be i(-11). Suppose -3*u = r + 12 + 4, -s = 4*r + u. Is 13 a factor of 238\/18 - r\/(-72)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-4)\/(-18)*(-31)\/(-62)\nAnswer: 1\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Add -75 and 205612378.\nAnswer: 205612303","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of 38466000, 76931998, 115397996, 153863994, 192329992?\n\"Answer: 38465998*s + 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 15818524999 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let g(w) = -3*w - 46. Let p be g(-18). Let j(l) = 2*l - 2. Let r(c) = 6*c - 5. What is p*j(u) - 3*r(u)?\nAnswer: -2*u - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve 29 = 4*i + 25 for i.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let u(j) = 182*j**2 - 3*j. Let m be u(-1). Let q = -130 + m. What is the units digit of q?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (-4 - -5)*(1 + -6). Let c = b - -8. What are the prime factors of c?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 427 or 426?\nAnswer: 427","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let j be 3\/2 - (-2 - 68\/(-8)). Let x = -24 + 40. Let u be -1 + 1 - (13 - x). Which is the second biggest value? (a) 0.14 (b) j (c) u\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 36 >= 39?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -36020274.00113 + 36020557. Let b = 283 - k. What is b rounded to 4 decimal places?\nAnswer: 0.0011","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -n = 4*o - 0*o - 9, -n = 2*o - 5. Suppose -3*p = -o*p. Suppose p*c - 3*c = -213. Is c a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of (-30)\/(-40)*8\/(-18)*-5967?\nAnswer: 3, 13, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose y + y = -10, -4*y - 26 = -3*q. Suppose -r - q*r = -9. Suppose -o + 28 = 3*k + 10, -2*k + o = -7. Solve -r*u = -k - 4 for u.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 102 divided by 2?\nAnswer: 51","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 274 minutes after 8:49 AM?\nAnswer: 1:23 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Does 218 divide 4676100?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Does 47 divide 1505145366?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let t(o) = 4*o + 1. Suppose -4 - 128 = 44*a. Give t(a).\nAnswer: -11","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1584871 is divided by 1584868.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-2)\/(-30))\/(4*(-3)\/(-72))?\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (6 - 1) + -1 - 0. Suppose 5*u - m = u, -5*u - 97 = -2*r. Is 12 a factor of r?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0 divided by -2.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*q = 4*g - 48, -5*q + 16 - 70 = -4*g. Suppose -r = 2*d - 5*d + 15, -d - 5*r = 11. What is the greatest common divisor of g and d?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = c - 3*t + 15, 207*c + 60 = 203*c - 3*t for c.\nAnswer: -15","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Add -112.2180032 and -2.15.\nAnswer: -114.3680032","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let b(q) = q**2 + 24*q - 190. Determine b(-32).\nAnswer: 66","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let s(i) be the third derivative of i**5\/60 - i**3\/6 - 8*i**2. Is s(-3) a multiple of 2?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Do 1 and -498\/11953 have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is 736 a multiple of 16?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Convert -30b (base 15) to base 13.\nAnswer: -40a","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from lllllllg. Give prob of picking 3 l and 1 g.\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -r - 4*v + 24, 174 = 5*r - 6*v + 8*v. Let t be ((-13)\/3 - -4)\/((-3)\/r). Solve 0 = -t*z + 3*s + 9, 3 - 5 = -2*z + 4*s for z.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sum 0.0344 and -0.044.\nAnswer: -0.0096","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is -1498093 less than or equal to -1498092?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 689984 to the nearest integer?\nAnswer: 88","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Subtract -0.3 from -2.15206446.\nAnswer: -1.85206446","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 57291.00000052607 - 57291. Round d to 7 dps.\nAnswer: 0.0000005","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -1623184*h*w**3 + 1896*h*w**2 - 237*h + 3*w**2 - w - 2 wrt w?\nAnswer: -9739104*h","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let f(y) be the third derivative of -y**5\/60 + y**4\/2 + 7*y**2. Does 8 divide f(8)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 67044, -35, 3, -5 in increasing order.\nAnswer: -35, -5, 3, 67044","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 16218 and 628686?\nAnswer: 954","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from yyyynyyennttend. Give prob of sequence nny.\nAnswer: 12\/455","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 0.22 - 0.02. Let t(d) = -d**3 - 20*d**2 - 19*d + 2. Let m be t(-19). Which is the closest to m? (a) p (b) 3\/5 (c) 0.13\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -522, -6169, 1\/6 in increasing order.\nAnswer: -6169, -522, 1\/6","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -4 + 14. Let h = -31\/3 + r. What is the second biggest value in h, 3\/4, 0.4?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: -4b763 (base 16) to base 15\nAnswer: -618b1","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 77177 is divided by 930?\nAnswer: 917","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 35*j + 104 = 22*j. Let n(i) = -i**3 - 6*i**2 + 10*i - 9. Calculate n(j).\nAnswer: 39","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f be 0 + 0 + (-14)\/7. Let k = f - -27. Suppose -4*z = -3*z - k. What is the remainder when z is divided by 9?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -266*c - 78*c + 3 - 3 + 148*c.\nAnswer: -196*c","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -55 = 6*f + 5. Let v = f + 14. Solve -4*o - 7 = v*g - 27, -5*o = -3*g + 15 for g.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (-5921)\/1337 - (16\/(-3) - 2\/(-6)). Determine v so that 8\/7 - 8\/7*v**2 + 4\/7*v**3 - h*v = 0.\nAnswer: -1, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose x - 2 = 2. Let o be 1\/((-3 + x)*1). What is the closest to -0.3 in o, 0, -0.1?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2*j - 353*j**2 - 2*j.\nAnswer: -353*j**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Does 176 divide 49461?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*m - 3 = 9. Is 5 - 1*6\/m even?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7 = 4*m + 5*c, 14 + 1 = -5*c. Suppose 7569 = 6*y - y - m*q, -2*q = -2*y + 3030. Is y composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(c) = -4*c**2 - 3*c. What is s(-2)?\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: 1 (base 4) to base 12\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in -0.13, 1\/13, 1\/5, 0.9?\nAnswer: 1\/13","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*s + 5*l - 200, -37 = -s - 0*l + 2*l. Suppose 48*g - s*g + 16448 = 4*q, -q + 4093 = 4*g. Is q prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out -0.16 * 0.3.\nAnswer: -0.048","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1150 is divided by 195.\nAnswer: 175","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let k(h) be the third derivative of -h**4\/4 + 3*h**3\/2 + 4*h**2. Let o be 392\/588*(-42)\/4. Let d(v) = -5*v + 8. Determine o*d(j) + 6*k(j).\nAnswer: -j - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let r(y) = 2*y**3 + 3*y**2 + 295*y + 897. Determine r(-3).\nAnswer: -15","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 30 - 45. Let q = 3261.5 + -3261. What is the closest to 3 in h, 3, q?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 143348021 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -13147, -13086, -13027, -12970, -12915, -12862, -12811?\nAnswer: -12762","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let o(l) = l + 11. Let f be o(-9). Let d be (f - -10)*14\/4. Let w = 167\/4 - d. Which is the second biggest value? (a) w (b) -2 (c) -4\/3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -2*a**2*g**2*p**2 + 2484*a**2*g**2 + 60*a*p**2 - 2*g**2*p - 7*g*p**2 wrt a?\nAnswer: -4*g**2*p**2 + 4968*g**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let t(m) = m**3 - m**2 - m + 2. Calculate the smallest common multiple of t(2) and 52.\nAnswer: 52","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(m) be the third derivative of -128*m**5\/3 + 122*m**3\/3 + 2*m**2 - 32*m. Differentiate y(r) wrt r.\nAnswer: -5120*r","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of (40\/576*-4)\/(1912\/(-600)) and -97\/12.\nAnswer: 2868","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.005035113935 to 4 decimal places.\nAnswer: -0.005","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 4267.622nm in meters?\nAnswer: 0.000004267622","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 7 a factor of 23929?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 0 + (sqrt(637) - -4*(-1 + sqrt(637)))**2.\nAnswer: -280*sqrt(13) + 15941","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 108*i + 21396 = 120*i. What are the prime factors of i?\nAnswer: 1783","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Total of 1 and 0.033199.\nAnswer: 1.033199","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 86 - -90. Suppose 3*l - 4*l + 16 = 0. What is the greatest common factor of l and j?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) 9 (b) -1\/7 (c) -1 (d) 11\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (z**(-2\/3))**(-44)\/((z*z**0)\/z)**(-2\/3)*(z**(-1))**(-34)*(z*z\/(z*z\/(z*(z\/((z\/z**(2\/7))\/z))\/z))*z)**(-45) assuming z is positive.\nAnswer: z**(-830\/21)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is 23548212 a multiple of 1348?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let h(f) = f**3 - 9*f**2 + f - 7. Let q be h(9). Let a be (q - ((-42)\/4)\/(-7))*-3. Let o = -1 - 0. What is the nearest to o in a, -3, 5?\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 7990340584 to the nearest integer?\nAnswer: 1999","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -1 in 0.0149, 2, 2\/15, -0.4?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of 16209, 16224, 16253, 16296?\n\"Answer: 7*u**2 - 6*u + 16208","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Product of 6901 and -3080.\nAnswer: -21255080","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let i(b) = -7*b**2 - 3521*b + 21372. Calculate i(6).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -11 - -13. Let c be g\/8 - 19\/(-4). Suppose -c*b = -15 - 5. Solve -b*j = -j for j.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 2442 (base 10) to base 11.\nAnswer: 1920","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 60 + -51. Let v(n) = -n + 14. Let r be v(x). Solve 5*c = 4*g - r, 2*c + 2*g - 3*g + 2 = 0 for c.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (-737996)\/(-24) - (-4)\/(30 - 6). Round z to the nearest one thousand.\nAnswer: 31000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of 1084, 1083, 1090, 1111, 1152, 1219, 1318?\n\"Answer: a**3 - 2*a**2 - 2*a + 1087","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((30\/9)\/(-5))\/(45\/27).\nAnswer: -2\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let g(x) = -9*x**3 - 103*x**2 - 6*x + 12. Let d(c) = 10*c**3 + 103*c**2 + 7*c - 14. What is -6*d(v) - 7*g(v)?\nAnswer: 3*v**3 + 103*v**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Put together 33991.31354391 and 2.9.\nAnswer: 33994.21354391","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*d = -17 + 57. Let k(q) = -q**2 + 9*q - 6. Let a be k(7). Let f be (-26)\/(-3) - a\/12. Calculate the greatest common divisor of f and d.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in -2\/9, -6, 0.4?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 102295 and 49446?\nAnswer: 41","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -49*r + 49*r + 20*r**2.\nAnswer: 20*r**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 12 = -2*f + 4. Sort 0.2, -2\/9, f.\nAnswer: f, -2\/9, 0.2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -57845 (base 10) in base 14?\nAnswer: -1711b","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let h(n) = -42*n**3 - 3*n**2 - 12*n - 11. Determine h(-1).\nAnswer: 40","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 4204032 and 415.\nAnswer: 1744673280","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Does 26 divide 113265\/(-72)*-2 + 5\/(-20)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 2788400 to the nearest 10000.\nAnswer: 2790000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 14*t**2 - 7*t**2 + 9*t**2 - 2*t**2.\nAnswer: 14*t**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -6 in 21, -5\/4, 0.1?\nAnswer: -5\/4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 198*p = 259*p for p.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -27604865 divided by 5.\nAnswer: -5520973","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -0.94 - 0.06. Let l = 2 + y. Suppose -2*g - 1 = n - 5, -g = -5*n - 24. Which is the nearest to l? (a) 0 (b) n (c) 0.1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 9 = -j - 2*u, 0 = -0*u + 5*u + 5. What is the common denominator of -37\/4 and 2 + (j\/(-8))\/(-1)?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 2*((-2*sqrt(228)*-3 + sqrt(228)*1*3 + sqrt(228))\/((sqrt(120)*2)\/sqrt(10) - (sqrt(12) - ((sqrt(48)*-1)\/sqrt(4) - sqrt(12) - sqrt(12) - sqrt(12)))))**2.\nAnswer: 3800\/9","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 3425 and 59321?\nAnswer: 137","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 12551 in -3, -5, 4?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 15 and 85.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth root of 154982577 to the nearest integer?\nAnswer: 112","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 114 - 102.7. Let h = z + -2. Let m = h + -9.30000106. Round m to seven dps.\nAnswer: -0.0000011","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in 2, -0.05, 7?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 1317*i = -554*i + 5613. Suppose 7\/4*v**i - 1\/4*v**4 + 3 - 7\/4*v - 11\/4*v**2 = 0. What is v?\nAnswer: -1, 1, 3, 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*a - 44 - 10. Let i = 48 - 20. Let v = a + i. What are the prime factors of v?\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -3 + 5. Suppose 4*d - 4 = j*d. Suppose -2*l - 4*n = d*l + 68799984, 86000008 = -5*l + 2*n. What is l rounded to the nearest one million?\nAnswer: -17000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -86, 2, 3 in decreasing order.\nAnswer: 3, 2, -86","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 35194*p - 5*p**2 - 35194*p + 8*p**2.\nAnswer: 3*p**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is -35.1515 rounded to zero dps?\nAnswer: -35","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 8927622?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 264759, 264760, 264761, 264762, 264763, 264764?\nAnswer: 264765","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 1628175145 a multiple of 174?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred millions digit of 168369288?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 4\/135 + 86\/135. What is the nearest to 11 in -1, c, -2\/11?\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (((-48)\/(-18))\/(-8))\/(11*9\/1782).\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 157 - 159. Let g(f) = -511*f**3 + 12*f**2 + 20*f + 3. Is g(t) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 8*c - 13*c - 31*c.\nAnswer: -36*c","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 2408 and 2709?\nAnswer: 301","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let j(o) = 34*o + 44*o - 63*o. Let t(l) = -2*l. Determine t(j(f)).\nAnswer: -30*f","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Find k, given that -2*k**3\/3 - 6962*k**2\/3 + 7026208*k\/3 + 4693416 = 0.\nAnswer: -4298, -2, 819","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Expand (4 + 1 - 3)*((-3 + 2 + 3)*(-5*b + 3*b + 0*b) - 179 - 190 + 345 - 6*b).\nAnswer: -20*b - 48","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 98717868.81 rounded to the nearest one hundred thousand?\nAnswer: 98700000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is 19 a factor of 4123?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of 18396, 36702, 55010, 73320, 91632, 109946, 128262?\n\"Answer: k**2 + 18303*k + 92","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: 5456126 (base 7) to base 6\nAnswer: 22204005","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -3778 or -3841?\nAnswer: -3841","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is 10125913661 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 68054?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*w + 2*m - 370, 444 - 64 = 3*w + 4*m. What is the greatest common divisor of w and 15?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (-1274)\/147*(-9 + 3 + 3). Let m(y) = -y**2 + 156. Let i be m(0). Calculate the greatest common divisor of i and r.\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 41484 and 60.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is 69579569 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 30 and 48?\nAnswer: 240","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2 + 2 - 2*j)*(-2*j**2 + 3*j**2 + 0*j**2)*(0*j + 4*j + 3*j).\nAnswer: -14*j**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1670 is divided by 8?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -607*w**3 - 602*w**3 - 616*w**3 + 2493*w**3 - 673*w**3.\nAnswer: -5*w**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 142 minutes after 2:44 PM?\nAnswer: 5:06 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 17274 to the nearest integer?\nAnswer: 131","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let w(f) = 105*f**2 - 2*f - 1. Let c(p) = -p - 10. Let n be c(-9). Let u be w(n). Suppose 0 = -2*t - 0*t + u. Is t prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(o) = o - 4. Let t be a(-6). Let z = t - -10. Suppose -g - 8 = -10. Solve -3*v + 2 + 3 = g*r, z = 4*v + 3*r - 5 for v.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -12552 - -12556. Calculate the smallest common multiple of j and 1170.\nAnswer: 2340","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of -1, -16, -31, -46, -61?\n\"Answer: -15*h + 14","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -6*(-1)\/42*112\/80.\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -135 and -1?\nAnswer: 135","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:58 AM and 12:13 PM?\nAnswer: 675","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 434441*j**2*l**2 + 2*j**2*l + 1273789*j**2 + 4*j*l**2 + j wrt l?\nAnswer: 868882*j**2*l + 2*j**2 + 8*j*l","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0.21*-7.9.\nAnswer: -1.659","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 153282 and 13639500.\nAnswer: 2598","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Does 2 divide 114769?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:25 PM and 11:12 PM?\nAnswer: 647","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let k be 18\/(-8) + (-3)\/(-6). Let t = k + 25\/12. Which is the third smallest value? (a) 4 (b) t (c) 0.2 (d) 3\/5\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 20 and 4629260?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 694?\nAnswer: 2, 347","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: 5 * -15.886027\nAnswer: -79.430135","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ab when two letters picked without replacement from dddbbddadddddd?\nAnswer: 1\/91","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let x(h) be the first derivative of 5*h**3 + 1. Let l(y) = 12*y**2 + 7*y**2 - 17*y**2. Determine l(x(n)).\nAnswer: 450*n**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {q: 6, k: 7, h: 2}. Give prob of picking 2 k.\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {w: 4, t: 1, c: 10, m: 2}. What is prob of sequence wmmc?\nAnswer: 1\/714","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 631 minutes before 7:21 AM?\nAnswer: 8:50 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -1 - -3. Let n = -1 + q. Does -1\/2 = n?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 77 is divided by 16.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -10*t + 5*t - 58*t - 378. Let i(l) = -19*l - 2. Let z(o) = -18*o - 2. Give t*z(r) + 5*i(r).\nAnswer: 13*r + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -2\/7? (a) -6 (b) -4 (c) -2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(1900) + -4 + -2 + (sqrt(1900) - (sqrt(1900) + -2)**2) + -1.\nAnswer: -1911 + 60*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: (4\/210*-7)\/((-7)\/21)\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 16*n - 20 = 12. Solve 15 = -n*s + 9 for s.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(w) = w**3 - 6*w**2 + 3*w + 3. Let f be d(4). Let x = -6 - f. Let c(l) = -5 - x*l + 3*l**2 + 9*l - 2*l**2. Determine c(4).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 839*b**4 + 98*b**3 - 449230 with respect to b.\nAnswer: 3356*b**3 + 294*b**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*o - 9 = -2*d - o, -5 = -2*d + o. Suppose -d*t = q + 8, 3*t + 10 = -q - q. Let g be ((-69)\/(-6) + 0)*t. What is g rounded to the nearest 10?\nAnswer: -20","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 5 + 5 + (5*(sqrt(19) + 0)**2 - sqrt(19)) + sqrt(19).\nAnswer: 105","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 40 + -30. Find the third derivative of -k*t**3 - t**2 - 3*t**2 + 2*t**2 wrt t.\nAnswer: -60","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 9*s**2 + 10*s**2 - 29*s**2 + 8*s**2.\nAnswer: -2*s**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: -5227 - -26780594214\nAnswer: 26780588987","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let t(v) be the first derivative of 5*v**8\/336 - v**7\/42 - v**6\/24 + v**5\/12 - 111*v**2\/2 + 4. Let b(x) be the second derivative of t(x). Factor b(y).\nAnswer: 5*y**2*(y - 1)**2*(y + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(g) be the second derivative of -g**6\/1260 - g**5\/140 - g**4\/42 + g**3 - g. Let z(o) be the second derivative of b(o). Solve z(q) = 0 for q.\nAnswer: -2, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 70893?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between -562 and -0.665?\nAnswer: 561.335","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*d = -18 + 8. What is the nearest to 0.1 in 0.4, -1, d?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -20 (base 3) to base 2.\nAnswer: -110","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let k(t) = t**3 + 7*t**2 + 7*t + 1. Let h be k(-7). Let m = 0 - h. Let o = m - 21. Is 9 a factor of o?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -16034*a + 3*a**2 - a**2 + 16034*a.\nAnswer: 2*a**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*r = 4*s + 3*r + 32, 20*r = -3785*s + 1880*s + 1904*s + 397 for s.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from ypcyccpc. What is prob of sequence yy?\nAnswer: 1\/28","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 764437992.\nAnswer: 2, 3, 3461, 9203","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -2.9 - 0.1. Suppose 5*j = 0, 0 = -5*v + 3*j - 4*j + 60. Let f(h) = h - 8. Let d be f(v). Which is the second smallest value? (a) d (b) 3 (c) u\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 3*n**2 - 34*n - 44*n + 20*n - 10*n**2 + 58*n.\nAnswer: -7*n**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 147\/5 + -30. Let y = 17 + -56. Let q = y - -38.8. Which is the third smallest value? (a) g (b) q (c) -0.4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 4\/(((-24)\/114)\/(-4)) is divided by 11.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 v when two letters picked without replacement from {v: 2, h: 3}.\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let y(o) = -o**3 + 3*o - 22. Let r be y(0). Let j = 10 - r. Suppose -2*c + 626 = 4*p - 3*c, -2*c + 789 = 5*p. Calculate the remainder when p is divided by j.\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(z) = -4*z**3 + 3*z - 2. What is h(1)?\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*x**3\/5 - 24*x**2\/5 - 288*x + 4480.\nAnswer: 2*(x - 20)**2*(x + 28)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let v(q) = q**3 + 6*q**2 - 6*q - 3. Let s(t) = -t**2 + t + 1. Let l be ((-264)\/(-450) + (-10)\/(-125))*9. What is l*s(p) + v(p)?\nAnswer: p**3 + 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:03 PM and 8:13 AM?\nAnswer: 610","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of 383471, 1533846, 3451137, 6135344, 9586467?\n\"Answer: 383458*s**2 + s + 12","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 1105626803 or 1\/2?\nAnswer: 1105626803","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let g(a) = a. Let f be g(-5). Let s(l) = -6*l**3 + 5*l. Let b(r) be the second derivative of -3*r**5\/10 + 2*r**3\/3 - 57*r. What is f*b(c) + 4*s(c)?\nAnswer: 6*c**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let d(j) = 3*j**2 - 6*j + 3. Let o be (-9)\/12 - (-33)\/12. Let k be d(o). What is the third derivative of -17*c**2 - c**4 + k*c**4 - 7*c**4 wrt c?\nAnswer: -120*c","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -3175974 divided by 321?\nAnswer: -9894","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Put 3, -1, 333, -5, 14, 1 in increasing order.\nAnswer: -5, -1, 1, 3, 14, 333","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (c**(-3\/8)*c**(-3\/8)*c*c)**46*((c**(-3\/8)*c)\/(c\/(c**(2\/11)\/c)*c))**(-1\/9) assuming c is positive.\nAnswer: c**(45733\/792)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0*q - 5*q - 23 = 3*j, j = -3*q - 13 for j.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 214 and 642?\nAnswer: 642","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = q - 4*q + 42. Let c be (-37)\/(-7) + (-4)\/q. Suppose -77 - 58 = -c*z. Does 16 divide z?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -2, 47740, 0, 2 in descending order.\nAnswer: 47740, 2, 0, -2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (-2)\/3 - (-4)\/6. Let o(r) be the second derivative of -r - 1\/10*r**3 - 1\/10*r**2 + t - 1\/20*r**4 - 1\/100*r**5. Determine p so that o(p) = 0.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 139 divide 11675027?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let i(b) = -40 + 5571987*b**2 + 15 - 5571986*b**2 + 11*b. Determine i(2).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(l) = l**2 + 4. Let x be t(0). Suppose x*k = -1 + 5. Is 1\/2 at least k?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*p + 4*h + 92 = 0, -4316*p - 2*h - 88 = -4339*p. Find d, given that -882\/5 + 84\/5*d - 2\/5*d**p = 0.\nAnswer: 21","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 211567 to the power of 1\/2, to the nearest integer?\nAnswer: 460","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -2197766\/9 + 244475. Let y = -279 + f. Sort y, -0.2, 0 in ascending order.\nAnswer: y, -0.2, 0","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -886*f**2*n**2 + f**2 - 9*f*n**2 + f*n - 2*f - 10*n wrt f.\nAnswer: -1772*n**2 + 2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1\/3, -0.3, -0.024, -0.02 in decreasing order.\nAnswer: -0.02, -0.024, -0.3, -1\/3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 122\/7 - 1297\/70. What is the common denominator of k and (-1)\/3*(-15)\/(-250)*65?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(a) be the first derivative of -5*a**3\/3 - 3*a**2 + 6*a - 1. Suppose -62*y + 55 = -73*y. Let n(m) = -4*m**2 - 5*m + 5. Give y*h(r) + 6*n(r).\nAnswer: r**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let u(x) be the first derivative of x**4\/4 + x**3 - x + 1042. What is u(-2)?\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence kkg when three letters picked without replacement from {n: 2, w: 4, s: 1, g: 6, k: 2, i: 3}.\nAnswer: 1\/408","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -3*y + 4*f + 3, 873*f + 2 = 2*y + 871*f for y.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let y(f) = -f. Let b(k) = -49040276*k**2. Determine y(b(j)).\nAnswer: 49040276*j**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3 = 2*a - 5. Suppose 3*p = a + 8. Suppose 5*s - 12 = -4*u + 115, -p*s + 2*u = -63. Solve 20 = -5*h, 3*c = -4*h - 5 - s for c.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_test"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-2)\/6 - -1)*555\/(-1850).\nAnswer: -1\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from akaiaaaibaazazzu. Give prob of picking 1 u and 1 a.\nAnswer: 1\/15","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 209269 to the nearest integer?\nAnswer: 59","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*z + 23*q - 28*q = 47639, 3*q + 119088 = 5*z. List the prime factors of z.\nAnswer: 3, 17, 467","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (1 - 65\/(-10))\/((-18)\/3). Let u = -15 - -73\/5. Sort 2\/11, u, k.\nAnswer: k, u, 2\/11","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 80769661 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*k - 2*k = 12. Let a be (14\/(-6) - 0\/(-1))*k. List the prime factors of a\/(7\/(-3)) + 7.\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 112282375*i + 0*i**2 + 0*i**2 - 112282375*i - 10*i**3.\nAnswer: -10*i**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let z be ((-14)\/(-21))\/(7\/(-3)). Let v = -9\/31 - 181\/124. Which is the third biggest value? (a) z (b) 0 (c) v\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -r + 2*k + 7, -5*r + 4*k + 55 = -4. Let j = r - 14. Let g be 21\/9*(j - -2). Solve 4 = -2*i, 4*i + g = -4*a - 5 for a.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -28 + 25. Suppose -r - 4 - 1 = 0. Let m(g) = -2*g**3 + g**2 + 4*g + 11. Let u(j) = -3*j**3 + 2*j**2 + 6*j + 17. Let f(o) = r*u(o) + 8*m(o). Give f(q).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is twenty-five halves of a gram in milligrams?\nAnswer: 12500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 58 = 3*v - g, 5*g + 74 = 6*v - 3*v. Suppose -5*i - 828 = -17*i - 11*i. What is the greatest common divisor of i and v?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify p\/((p**(4\/17)\/p)\/p*p)*p**(-1\/24)\/p assuming p is positive.\nAnswer: p**(295\/408)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let x(k) = -27 - 12 - 2*k + 13. Let s be x(-13). Suppose s = 2*g + g - 84. Is 7 a factor of g?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 946?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: -50309 * -0.09\nAnswer: 4527.81","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: -144 + 0 - (-7169 + 7049)\nAnswer: -24","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -15*u**2 - 5272056*u - 192324196 wrt u?\nAnswer: -30*u - 5272056","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is 2289895 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Factor 150 + 3\/2*i**2 - 226*i.\nAnswer: (i - 150)*(3*i - 2)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 2879\/940 - 57\/47. Calculate the common denominator of (-2)\/8*162\/(-4) and r.\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is 101243 + 0?\nAnswer: 101243","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in 1, -0.041, -0.8?\nAnswer: -0.041","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Express 10 - p + 110 - 7 + 28 as q*p + t and give t.\nAnswer: 141","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 5189 to the power of 1\/2, to the nearest integer?\nAnswer: 72","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -4058*f + 28*f**3 - 4012*f + 8070*f.\nAnswer: 28*f**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -2*b*d*l*q + 9*b*d*q - 7*b*d + 2*b*l*q + 2*b*q - 2*b + 95*d*l wrt l?\nAnswer: -2*b*d*q + 2*b*q + 95*d","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-36 + 28 - (1 + -8)) + 6.\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: How many months are there in 27\/4 of a century?\nAnswer: 8100","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 1784840 to the nearest integer?\nAnswer: 121","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*p - 8270 = -1642. Is p prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*n + l - 3 = 0, -3*n + 2*l + l = -3 for n.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -12 - -13. Let t = y + 2. Suppose 3*u + i = 4*i + 62991, -t*i = -u + 20991. What is u rounded to the nearest ten thousand?\nAnswer: 20000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: -2 + -12783\nAnswer: -12785","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 4\/(-47 - 17) - (-3 - (-955)\/80).\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 4146 to the nearest integer?\nAnswer: 64","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let f(h) = h + 5. Let u be f(0). Let z(v) = 5*v**2 + u - v**3 - 3*v**2 + 0*v**2 + v**2 + 4*v. Give z(4).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 1979*u**3 + 65*u**2 + 4*u wrt u?\nAnswer: 11874","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {k: 1, z: 2, n: 1, m: 1}. What is prob of picking 1 k and 1 n?\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let f(a) = -4*a + 230. Calculate the smallest common multiple of 14 and f(21).\nAnswer: 1022","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(o) = -5765*o**2 - 2125. Let z(c) = -5764*c**2 - 2123. Let f(w) = -3*g(w) + 4*z(w). What is the derivative of f(t) wrt t?\nAnswer: -11522*t","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(v) = v**3 + 52*v**2 - 109*v - 253. What are the prime factors of y(-52)?\nAnswer: 3, 5, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 1322253 and 63.\nAnswer: 9255771","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 14 + 10 + 7*v**3 - 9 - 27*v**3.\nAnswer: -20*v**3 + 15","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Work out 0.65561 * -981.\nAnswer: -643.15341","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 18, 39, 60?\nAnswer: 81","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*n - 7 = -3*l, n - 5 = -11*l + 14*l for l.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 29181 or 29173?\nAnswer: 29173","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -49*s = -22*s - 108. Determine m, given that -1\/2*m**2 + 5\/2*m**3 + 0*m + 0 - 2*m**s = 0.\nAnswer: 0, 1\/4, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w be 1 - -2 - ((-4 - 1) + 3). Solve 3*d - 17 = -5*y, -7 = -7*y + w*y - d for y.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -14 - 13 = 3*h. Let n be (h\/3 - -2)*-3. Solve -s + g - 7 = -0*s, 2*g = n*s + 18 for s.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) -963 (b) 5 (c) -0.3 (d) 2\/5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let c(u) = 11*u**3 - 18*u**2 - 48*u + 20. Let p(g) = 13*g**3 - 19*g**2 - 56*g + 23. Give 6*c(f) - 5*p(f).\nAnswer: f**3 - 13*f**2 - 8*f + 5","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -88 - -147. What is the units digit of q?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 141191485*s*u**3 + 2442996*s - 28*u**2 wrt u.\nAnswer: 847148910*s","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2, -284, 0, -4\/11, 0.3, 0.1.\nAnswer: -284, -4\/11, 0, 0.1, 0.3, 2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 818 and 144?\nAnswer: 58896","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is 22180061 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*l = -3*l + 6. Let u(s) = -l*s**2 - s**2 + 6*s**2. Let g(f) = 4*f. Calculate u(g(c)).\nAnswer: 48*c**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 875 to the nearest integer?\nAnswer: 30","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let s(c) = -431*c + 17940. Determine s(40).\nAnswer: 700","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of -691639, -691649, -691671, -691711, -691775, -691869?\n\"Answer: -y**3 - 3*y - 691635","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 178*m - m**3 + 8*m**2 - 178*m - 2 to p*m**2 + h*m + s + k*m**3 and give k.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Does 45 divide 15585?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 185 is divided by 8?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Expand -5*i**5 - 2*i**5 + 3*i - 6*i**5 + (0*i**3 + 0*i**3 + 2*i**3)*(-i + i - i**2) + (-4*i**3 + 3*i**3 - 4*i**3)*(2 + i**2 - 2).\nAnswer: -20*i**5 + 3*i","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -935 divided by 11.\nAnswer: -85","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify i\/(i**(-17\/4)*i)*i**22*(i\/i**(-4\/11))**(-46) assuming i is positive.\nAnswer: i**(-1605\/44)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence rjj when three letters picked without replacement from rjalaaralvlajlava.\nAnswer: 1\/1020","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let g(p) = 277*p**2 - 15794*p - 97. What is g(57)?\nAnswer: -382","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Find c, given that 5*c**3\/2 - 645*c**2\/2 + 10665*c - 29160 = 0.\nAnswer: 3, 54, 72","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 379 is divided by 29?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (-2)\/15 - 472\/60. Let k be (-10)\/v*(-3 + (-32)\/(-10)). Which is smaller: -1 or k?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1\/5 of a microgram in nanograms?\nAnswer: 200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -14*h + 98 - 28 = 0. Solve -h*j + 7 = 2*x, 5*j - 2 = -x + 4*j for x.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(b) = -5*b**2 + 5*b + 10. Let y(c) = -27*c**2 + 25*c + 52. Let l(a) = 11*f(a) - 2*y(a). Let q(p) = p**2 - 4*p - 5. Calculate -4*l(r) - 5*q(r).\nAnswer: -r**2 + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let k(v) = v**3 - 9*v**2 - v + 4. Let h be k(9). Let o(z) be the first derivative of -1 - 3*z**2 - 1\/3*z**3 + z. What is o(h)?\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 7 + -7. Let g = -3 - -2.94. What is the biggest value in y, g, -1\/10?\nAnswer: y","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is 13b - 8?\nAnswer: 133","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is -20633266 - -1002?\nAnswer: -20632264","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 536 + -271. Let b(d) = -267*d + 0 + f*d + 0. Let r(y) = -4*y. Give r(b(z)).\nAnswer: 8*z","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is 572281 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (2 - 16\/10)*(-325)\/(-26). Suppose -w*c = -4*s + 2932, -5*s + 3628 = 11*c - 8*c. List the prime factors of s.\nAnswer: 2, 7, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*h + 0*q - 46 = 2*q, -2*h - 5*q = -5. Suppose p = -h*p + 440. What is the units digit of p?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -99*g + 144 + 18*g**2 - 1\/3*g**3.\nAnswer: -(g - 48)*(g - 3)**2\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 31 - 27. What is the derivative of 6 - 18 + x + d wrt x?\nAnswer: 1","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -m**2\/4 + 89223*m\/4 - 7213941\/2.\nAnswer: -(m - 89061)*(m - 162)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 59 + -8. Let n = -0.0276 - -50.8276. Let j = n - q. Which is the closest to 0.1? (a) 0 (b) j (c) -1\/3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Do 1 and 1\/3089 have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let l(y) = 4*y**2 - 30*y + 37. What is the units digit of l(12)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -4367*r + 48*r**2 + 4367*r.\nAnswer: 48*r**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (3*sqrt(132)*-2 - sqrt(132))\/(sqrt(192) - 2*sqrt(192)) + -5 + (1*(sqrt(99) + sqrt(99) + 1*sqrt(99)))**2 + 2.\nAnswer: 7*sqrt(11)\/4 + 888","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 20847 is divided by 10.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -40 - -37. Is (-4 - d - 0) + 15 a multiple of 7?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 4, -1447208, 0.4 in descending order.\nAnswer: 4, 0.4, -1447208","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (g**(-2\/3))**12*g\/(g*g\/g**2)*g**(-2\/13) assuming g is positive.\nAnswer: g**(-93\/13)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let r(g) = 196*g**2 + 8*g + 101. Is r(-7) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (3\/7)\/(34 - 35). Which is the biggest value? (a) p (b) -4 (c) 1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 3012 in 0.2, -3, -1, -2, 0.05?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -826*b**2 - 2*b**4 + 8*b**4 + b + 845*b**2 to p + g*b**4 + r*b + u*b**2 + w*b**3 and give u.\nAnswer: 19","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 17891123?\nAnswer: 17, 31, 1997","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 6417 or 6416?\nAnswer: 6417","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 854133 to the power of 1\/9, to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*z + 19*h + 28 = 0, z = -h - 272 + 543 - 275 for z.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Round 22772.0869 to 0 dps.\nAnswer: 22772","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let k be ((-2484)\/24)\/((1 + 0)\/(-6)). Suppose -217 = -2*r + k. Is r a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -d - 58 = d. Let z = d - 15. List the prime factors of z\/(-10) - 12\/30.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 228 a factor of 3623778?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*d + 8 - 2 = 0. Suppose 7*j - 9 = 6*j. What is the greatest common factor of j and d?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -92*y + 1453 = 63*y - 1957. Solve 0 = d + 16 - y for d.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -0.4 + 0.34. Let o = d + 0.06000032. What is o rounded to seven decimal places?\nAnswer: 0.0000003","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1341442 (base 6) in base 10?\nAnswer: 75554","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 10672109.96354 - 10672352. Let b = n - -242. What is b rounded to three decimal places?\nAnswer: -0.036","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 370949700 divided by -92737425.\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 561047 is divided by 7.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7 = -p - 3. Suppose s = -t + 3*s - 7, 0 = 4*t - s - 7. Suppose t*b - 21 = -p*a - 6, -2*a - 2*b + 6 = 0. What is the lowest common multiple of 10 and a?\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -124 - -196. Let c = d - 51. List the prime factors of 72\/7 + (-6)\/c.\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j be 27*(2 - 20\/12)*1. Let l(n) = -15*n + j*n - 3 + 0. Give l(-2).\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 105445?\nAnswer: 5, 21089","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is -27190000 rounded to the nearest one million?\nAnswer: -27000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*j + 4*q = 7*j - 197, -q = -4*j + 818. Does 41 divide j?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 23066198 by -5.\nAnswer: -23066198\/5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-4*v - 4 + 4)*(1 - 6 + 0)*(2 + 3 + 0)*(2 - 1 - 3).\nAnswer: -200*v","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 + 4 = -o, 4*f + 2*o = -128. Suppose 2*u - 81 = -5*z, 0 = 2*z + z + 5*u - 41. What is the remainder when z is divided by (4\/(-10))\/(2\/f)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-6 - (11 - -2)) + (7 - (6 - 5))?\nAnswer: -13","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 9637311.\nAnswer: 3, 31, 173, 599","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 34 - 65 - 5*x + 31.\nAnswer: -5*x","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 2436 is divided by 313?\nAnswer: 245","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Find q, given that -7*q**5\/6 - 103*q**4\/3 + 184*q**3\/3 + 141*q**2 + 93*q\/2 = 0.\nAnswer: -31, -1, -3\/7, 0, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -3 + 7. Let r(j) = -7 - 3*j**2 + u*j**2 - 7*j - 2*j**2. Suppose -f - 14 = f + 4*o, 2*o - 8 = 2*f. Give r(f).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is x in 4*x**3 - 112608*x**2 + 792872820*x - 4753183896 = 0?\nAnswer: 6, 14073","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -1? (a) -3 (b) -0.4 (c) 236 (d) 3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Sort 5, -7, 4, -917 in increasing order.\nAnswer: -917, -7, 4, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 4 + -6 - 5 - (-10 - -12)?\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose l - 3 = -0*l, -78 = -4*p + 2*l. Let n(r) = 91*r**2 + 21*r + 21. Let b(g) = -9*g**2 - 2*g - 2. Let x(q) = p*b(q) + 2*n(q). Calculate x(1).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*t = -6*t - 12. Let x = 2.4 + -2.4. What is the biggest value in -0.5, x, t?\nAnswer: x","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 126 and 18?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let v(f) = -25*f - 354. Calculate the remainder when 367 is divided by v(-20).\nAnswer: 75","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth biggest value? (a) 2 (b) -0.1 (c) 1\/9 (d) -14\/45 (e) 1\/98 (f) -0.2\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) 5 (b) -4 (c) 0.3 (d) -0.48 (e) -1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*m + 2*n = -2*n - 20, 3*m + n = -5. Solve -2*j - 16 = 3*r - r, 3*j - 4*r - 11 = m for j.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(r) = 11*r**2 - 24*r - 129. Let g be n(-6). Let u = g + -408. Solve -u*b + 10 = -c, 2*b = c + 3*c for c.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 47*b - 6173 = 44*b + 2*z, -4*b = -z - 8229. What are the prime factors of b?\nAnswer: 11, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(m) = 2*m**3 - m**2 - 3*m + 2. Let j be ((-86)\/4)\/((-2)\/4). Suppose -5*q + 17 + j = 0. Let w be (3\/(45\/q))\/((-2)\/(-5)). Determine a(w).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -5*g**3*h**3 - 13154*g**3*h**2 - 3*g**2*h + 2*g*h**3 + 6714*h**3 wrt g?\nAnswer: -30*h**3 - 78924*h**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of (-8)\/(-14) + (-1094)\/(-560) and -94\/45?\nAnswer: 360","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 949?\nAnswer: 13, 73","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 71\/35 and (-4)\/(-12)*429\/(-6).\nAnswer: 210","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of 69, 463, 857, 1251, 1645, 2039?\n\"Answer: 394*u - 325","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: 1\/(-7) - (-4 - 48\/(-7))\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 15098689 is divided by 118?\nAnswer: 117","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 20080 is divided by 20078?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((i**16\/(i*i**(5\/4)))**(-24))**22)**(3\/7) assuming i is positive.\nAnswer: i**(-21780\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Expand 3 - 3 + y + (-5 + 3 + 0)*(-1 - 2*y + 1) + 3*y - 4*y - y.\nAnswer: 3*y","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 7428?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((u\/(u**(-1)\/u))**31\/(u*u*u*(u*u\/(u**(5\/6)\/u))\/u*u*u*u)**12)**(-8) assuming u is positive.\nAnswer: u**(-56)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Divide 338518 by 5.\nAnswer: 338518\/5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is 5909 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve 148 = -216*o + 253*o for o.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is dc352 (base 15) in base 10?\nAnswer: 699377","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 60429 + 600892. Is k a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(x) = -4*x**3 + 8*x**2 - 47*x + 170. Let t(i) = 23*i**3 - 50*i**2 + 279*i - 1019. Let y(o) = 3*t(o) + 17*u(o). What is y(12)?\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*u + l + 35, -38 = 5*u - l + 7. Let j be (4\/8)\/(u\/(-8)). Put 1\/2, 5, j in descending order.\nAnswer: 5, 1\/2, j","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find h, given that -2\/17*h - 840\/17 + 2\/17*h**2 = 0.\nAnswer: -20, 21","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (-2)\/8 - 29\/(-4). Let f(b) = -b**2 + 6*b + 7. Let m be f(k). Factor -a**4 - 3*a**3 + 3 + m*a**2 + 7*a**3 - a**2 - 4*a - a**2.\nAnswer: -(a - 3)*(a - 1)**2*(a + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3 + 8*r - 2 + 0)*(2 - 2 + r).\nAnswer: 8*r**2 + r","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7*o = -3*o + 24. Let z(k) be the third derivative of 0 - 103*k**2 + 17\/24*k**4 + 0*k + 1\/3*k**3. Let c(a) = 9*a + 1. Determine o*z(y) + 11*c(y).\nAnswer: -3*y - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the eighth root of 300 to the nearest integer?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -1705 + 1706. Sort -18, 5, f, -1 in decreasing order.\nAnswer: 5, f, -1, -18","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -6924 divided by 1193?\nAnswer: -6924\/1193","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -26*q**3 + 3*q**2 - 93*q + 4.\nAnswer: -156*q + 6","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in -105\/11, 5, 2.6, 4, 1\/9, -2\/11?\nAnswer: 1\/9","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Work out -0.46 * 21926298.\nAnswer: -10086097.08","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of -5106, -9812, -14472, -19062, -23558, -27936?\n\"Answer: 4*p**3 - p**2 - 4731*p - 378","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Work out -5 - 21860817670.\nAnswer: -21860817675","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 10 + -8. Which is the second smallest value? (a) r (b) 3\/4 (c) 4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(m) = m**3 + 5*m**2 + 4*m - 1. Let k be i(-3). Solve -k*x = 2*b - 31 + 8, 0 = -3*x + 9 for b.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -176*o = -181*o - 25 for o.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 8\/25 of a millennium in months?\nAnswer: 3840","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*n + 5 = -4. Suppose 4*q = -0*q - o + 7, 0 = q - n*o + 8. Let h = 135 - 943\/7. Is q at least h?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*s = -2*p + 8, 27*p = 5*s + 29*p - 11 for s.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 6173902 or 6173901?\nAnswer: 6173901","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Express (-1102*g + 1104*g + 15*g**2 + g**2 - 3)*((g + g + 0*g)*(4 - 2 - 3) + g + 8*g - g) as p*g**3 + a*g + q + w*g**2 and give p.\nAnswer: 96","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the tenth root of 81971563 to the nearest integer?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose v - 2*s = -17, 2*s - 27 = 3*v + 4. Which is the third smallest value? (a) 0.2 (b) 2 (c) v\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (5*o - 3*o - 3*o)*(-o**2 + 2*o**2 + o**2) - o**3 + o**3 - o**3 + (4*o - 2*o - o)*(4*o**2 + 0*o**2 + o**2).\nAnswer: 2*o**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is -30230301 + 10?\nAnswer: -30230231","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is -3744 divided by 18?\nAnswer: -208","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is 827501 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0.5*30570.\nAnswer: 15285","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 2*h*j*t**3 - 10*h*t**3 + 3*h*t**2 - 86*j*t**3 + 2 wrt j.\nAnswer: 2*h*t**3 - 86*t**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 3037218 and 212?\nAnswer: 106","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is 1\/3 at least as big as -25?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let b(w) = -80*w - 81*w + 1 + 165*w. Let g = 193 + -199. Suppose 3*k + 14 = k + 4*u, 0 = -5*k + 2*u - 51. Let n(d) = -7*d - 2. Calculate g*n(a) + k*b(a).\nAnswer: -2*a + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 14 - 2. Let b = 42 + s. Calculate the greatest common factor of 36 and b.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (1358*u**4 + 180*u**4 - 168*u**4)*(-u + 3*u - u) + (2*u + 2*u - 2*u)*(-u**4 + u**4 - u**4).\nAnswer: 1368*u**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(121)\/(sqrt(11) + sqrt(275)*1) - ((sqrt(22)\/sqrt(2)*-1)**2 - (1*sqrt(704) + sqrt(11))).\nAnswer: -11 + 55*sqrt(11)\/6","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 120 and 9712.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -5*(sqrt(704)*1*-3 + sqrt(704))**2 + 0 + -2.\nAnswer: -14082","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -9 + 9.3. What is the nearest to 1 in 1\/6, 0, y?\nAnswer: y","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -284 + 283. Put -5, b, 13, 1 in decreasing order.\nAnswer: 13, 1, b, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((s**(-1\/4)\/(s\/(((s*(s*(s*s*s*s**5*s*s*s)\/s)\/s)\/s)\/s*s)))\/(s\/((s**(-2\/3)\/s)\/s))**(-47))\/((s**0\/s*s)\/(s**(-3)\/s*s))**(-3\/47) assuming s is positive.\nAnswer: s**(102239\/564)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let -10*p**5 + 134*p**4 + 2288*p**3 + 6264*p**2 - 2880*p = 0. What is p?\nAnswer: -6, -5, 0, 2\/5, 24","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let a(z) = 9*z. Let u(c) = 1174*c**2. Calculate u(a(i)).\nAnswer: 95094*i**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let c(o) = o**3 - 29*o**2 + 118*o + 97. Let l be c(24). Solve 22*h - 27 + l = 0 for h.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 45761983.\nAnswer: 31, 1476193","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the eighth root of 2555 to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 4250 divided by -2125.\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*w**2 - 2*w**4 - 2*w**2)*(25 + 16 - 32) + 2*w**4 + 0*w**4 - w**4 + 0 + 0 - w**4 - 7*w**2 + w**4 + 9*w**2 - 4*w**2.\nAnswer: -17*w**4 - 2*w**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0 + -8 + 21 + -7.\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let u(n) = -26*n - 5. Let o(w) = 13*w + 3. Calculate -7*o(g) - 4*u(g).\nAnswer: 13*g - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Find u such that 18*u**4\/13 + 2274*u**3\/13 - 22534*u**2\/13 - 878666*u\/13 - 575092\/13 = 0.\nAnswer: -133, -47\/3, -2\/3, 23","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -276, -214, -152, -90?\nAnswer: -28","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 38902 and 2226?\nAnswer: 106","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 6*r**2 - 4*r**2 - 866051*r + 866051*r + 0*r**2.\nAnswer: 2*r**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -10 in 2\/11, -5\/4, 109?\nAnswer: -5\/4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from kkkkkkkkkkkkkkkdkdk. What is prob of sequence dd?\nAnswer: 1\/171","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 25 = 2*n - 4*s + 31, 5*s - 14 = -4*n. Put n, 3, -3, 70 in decreasing order.\nAnswer: 70, 3, n, -3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 856893 to the power of 1\/3, to the nearest integer?\nAnswer: 95","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 q and 3 n when four letters picked without replacement from {n: 5, q: 14}?\nAnswer: 35\/969","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -6 - -5.6. Let r = 3622 + -3626. What is the closest to -1 in n, 3, r?\nAnswer: n","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 29.29 rounded to zero decimal places?\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*k = -177 - 373. Calculate the remainder when k is divided by 42.\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(l) = l**3 + 11*l**2 + 19*l + 441. Determine c(-12).\nAnswer: 69","meta":{"dup_signals":{},"source":"polynomials__evaluate_test"},"subset":"dm_maths"} +{"text":"Question: What is 2 + (4 - (5 + -4))?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 100419816 or 100419828?\nAnswer: 100419828","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve -10 = t + 3*m, -119 = -5*t + 4*m - 169 for t.\nAnswer: -10","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in 0.1, 1\/6, 1772696?\nAnswer: 1772696","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*t + 30 = 2*n, -4*t - 8*n = -4*n + 28 for t.\nAnswer: -11","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is 4874 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let w(k) = k**3 - 24*k**2 + 455*k - 13198. What is w(26)?\nAnswer: -16","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: (((-34608)\/64)\/(-7) - 9)*20\/15\nAnswer: 91","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(y) = -y**3 - y**2 + y + 1. Let v(q) = 4*q**3 - 40*q**2 - 27*q - 17. Let k(j) = -v(j) - 2*z(j). Is k(21) a multiple of 27?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 28694.196s to minutes.\nAnswer: 478.2366","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let s(l) = -1683*l + 326429. Give s(194).\nAnswer: -73","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Add together 41 and 0.008199.\nAnswer: 41.008199","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 117782168.\nAnswer: 2, 7, 643, 3271","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1182 = f - 143*h + 11*h - 818, -3 = -h for f.\nAnswer: 32","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) 0.06 (b) -75 (c) 0.5 (d) 5 (e) -0.4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let n(f) = -f**2 - 5*f - 1. Suppose 0 = -18*b + 24*b + 24. Determine n(b).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(n) = -n**3 - 6*n**2 - 119*n - 12. Calculate g(-12).\nAnswer: 2280","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -1010 - -178. Let j = u + 376. Let d = j + 509.9. Round d to zero decimal places.\nAnswer: 54","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 15 divide 15768960?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 5*d - 3*d**2 - 152*d**2 - 31*d**2.\nAnswer: -186*d**2 + 5*d","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve -l + 4*j + 26 = 41, l = j for l.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 1693? (a) -4 (b) -2668 (c) -2 (d) 2\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let j be 5\/(-10)*(-12)\/2. Suppose 0 = -2*c + g + 19, -j*c - c - 2*g = -26. Suppose -c = -2*z - 4*m, -z - 2*m = -2*z + 4. What are the prime factors of z?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 191*j = 189*j + 14. Let f(x) be the third derivative of 1\/42*x**4 - 1\/210*x**6 + 1\/21*x**3 + 0*x + 0 + 0*x**5 - 4*x**2 - 1\/735*x**j. Factor f(i).\nAnswer: -2*(i - 1)*(i + 1)**3\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (0 - -1)*-7 - -11. Let c(p) be the first derivative of 0*p**2 - 1\/4*p**y + 0*p + 7 + 1\/3*p**3. Let c(r) = 0. Calculate r.\nAnswer: 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: 5 - 0.02618\nAnswer: 4.97382","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -0.3 and -13?\nAnswer: 3.9","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve 215*l + 15 = 218*l for l.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Total of 4 and -2278780044.\nAnswer: -2278780040","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -211*g**5*p**3 - g**5*p + 545*g**2*p**2 + g*p**3 wrt g.\nAnswer: -12660*g**2*p**3 - 60*g**2*p","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is -20 - -1053430300?\nAnswer: 1053430240","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is -667\/1088 bigger than -1?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -3*f**3*h**2 - 8*f**3*h + 2*f**3 + 4*f*h**2 - 2*h + 334 wrt h?\nAnswer: -6*f**3*h - 8*f**3 + 8*f*h - 2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is thirty-two fifths of a kilometer in meters?\nAnswer: 6400","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: -0.8 times -268\nAnswer: 214.4","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(294)\/((sqrt(56)*-3)\/sqrt(8)))\/((sqrt(6) + sqrt(12)\/(sqrt(2)*-2))*1).\nAnswer: -2*sqrt(7)\/3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let x(p) be the second derivative of 10*p**3\/3 + 15*p**2\/2 + 20*p. Let v(m) = -5*m - 4. What is 15*v(n) + 4*x(n)?\nAnswer: 5*n","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 504 minutes before 6:52 AM?\nAnswer: 10:28 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 5*(4*sqrt(3456) + sqrt(3456) - sqrt(3456))\/(-1*1*sqrt(8)).\nAnswer: -240*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 3 + 0 - (5 + -8 - -6).\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is -114 - -4?\nAnswer: -110","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is b8 + 100?\nAnswer: 1b8","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let l(b) = b**3 + 6*b**2 + b + 6. Let m be 1*(-16 - -1 - -3). Let w be -10 - m\/(6\/2). What is l(w)?\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(d) = -51*d - 10. Let h(g) = -g. What is l(h(q))?\nAnswer: 51*q - 10","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 48523 to the power of 1\/3, to the nearest integer?\nAnswer: 36","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 3*(4 + 1*(sqrt(1100)*-2 + 5 + 5))**2.\nAnswer: -1680*sqrt(11) + 13788","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of -9*(-25)\/3150 - (-126026)\/28.\nAnswer: 7, 643","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -5.05395 - -0.05395. What is the third smallest value in r, 3, -94?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 30400 to the nearest 1000.\nAnswer: 30000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is 3239839 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -3*l**3 - 8*l**3 + 4 - 11*l**3 + 18*l**3 to o*l**3 + n*l + a*l**2 + g and give g.\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is 10433 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth smallest value in 3, 2, -28, 0.2, -4, 18?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 12 + -7. Let i = -1903\/51 + 5675\/153. Which is the second biggest value? (a) i (b) q (c) 2\/5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (5 + 4*u - 5)*(5 - 1 - 6 + (-6 + 0 + 5)*(-2 + 0 + 1) - 1 + 3 + 0) as l + a*u and give a.\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let c be 1\/((-2)\/1060*-5). Suppose 105*x + 4 = c*x. Solve 2*f + 35 = 3*i - 8*i, -x*f - 25 = i for f.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 5568622 and 121057?\nAnswer: 5568622","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let n(a) be the second derivative of 5 - 1\/56*a**7 - 3\/2*a**2 + 3\/10*a**5 - 2*a + 1\/20*a**6 + 1\/8*a**4 - 7\/8*a**3. Determine w, given that n(w) = 0.\nAnswer: -1, 1, 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -23 = 3*y - 5*j, 0 = -j - j + 8. Let t(l) = l + 1. Let b be t(y). Let a(g) = b*g**2 - 2*g**2 + 0*g**2 + 5*g**2. Let m(i) = -i**2. Determine a(m(k)).\nAnswer: 3*k**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.0001328332 rounded to six decimal places?\nAnswer: 0.000133","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -8 + (-23 - (-100 - -18)) - 34.\nAnswer: 17","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 1862 = 4*m - 3*s, -5*s + 424 = -2*m + 1334. Calculate the highest common factor of m and 80.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence vvvq when four letters picked without replacement from pqvvqvpvpddpdvdwv.\nAnswer: 1\/238","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(2016) - (sqrt(2016) + (-4*sqrt(2016) - sqrt(2016))))\/((sqrt(40)\/sqrt(5))\/sqrt(4)).\nAnswer: 60*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-26 - -3) + (48 - 47) - -7 - 11.\nAnswer: -26","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 41655257 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Does 133 divide 2696683741?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let z(c) = -97*c**2 - 68*c. Let p(f) = 95*f**2 - 187*f - 152*f + 408*f. Let o(j) = 4*p(j) + 5*z(j). What is the second derivative of o(m) wrt m?\nAnswer: -210","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(i) = -18*i. Let f(c) = -c - 3. Let r(g) = 5*g + 4. Let j(n) = n. Let l(x) = -4*j(x) + r(x). Let s(d) = 4*f(d) + 3*l(d). Give b(s(q)).\nAnswer: 18*q","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let j(d) be the second derivative of -d**5\/20 + 19*d**4\/6 - 50*d**3\/3 - 51*d**2\/2 + 3*d + 18. Calculate the remainder when j(35) is divided by 21.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 2 - 8 - (29 + (-10 - 7))?\nAnswer: -18","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {m: 1, q: 1, d: 4, o: 4, h: 7}. Give prob of picking 1 h, 1 q, and 1 m.\nAnswer: 7\/680","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let w(g) be the first derivative of 16 - 9*g**3 + 0*g**2 - 1\/90*g**6 + 0*g + 0*g**4 - 1\/10*g**5. Let q(y) be the third derivative of w(y). Factor q(c).\nAnswer: -4*c*(c + 3)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: 0.1 times -1.61\nAnswer: -0.161","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: 3377 times 249.2\nAnswer: 841548.4","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Convert 57 (base 15) to base 2.\nAnswer: 1010010","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: -2 - (-4 - (-1 - (7 + -4)))\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: 9145 divided by 5\nAnswer: 1829","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -136*r - 60*r**3 + 68*r**3 + 271*r - 137*r.\nAnswer: 8*r**3 - 2*r","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -0.1 in -4\/11, 2\/13, 4, -3?\nAnswer: 2\/13","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let i(v) = -3*v**2. Suppose -28*x = -x. Let d(h) be the third derivative of 0 + x*h + 0*h**3 + 1\/3*h**4 + 18*h**2. What is d(i(m))?\nAnswer: -24*m**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 601 divided by 601.\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {t: 2, c: 5}. What is prob of sequence tc?\nAnswer: 5\/21","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let o(p) = 3*p**3 - p**2 + 22*p + 46. Give o(-3).\nAnswer: -110","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*y**3 - 273060*y**2 + 9319947384*y + 18640987024 = 0. What is y?\nAnswer: -2, 68266","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is -22c98 (base 15) in base 10?\nAnswer: -110843","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let u(b) = -b**3 + b**2 - b - 2. Let k(w) = 14*w**3 - 62*w**2 + 10*w + 20. Calculate -2*k(a) - 20*u(a).\nAnswer: -8*a**3 + 104*a**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 35602 is divided by 172.\nAnswer: 170","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: 111123012220 (base 4) to base 5\nAnswer: 2414203130","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (((-8)\/22)\/(82\/(-7667)))\/(3 + -1)?\nAnswer: 17","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -78020 divided by 94.\nAnswer: -830","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is 63890160 a multiple of 380?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -0.23 - -0.23. What is the nearest to w in -5, -3, -0.5?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 40 + 1034 = 6*x. Suppose 2*m = 519 - x. Suppose -2*v + m + 148 = 0. List the prime factors of v.\nAnswer: 3, 53","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(o) = -o**3 - 1. Let v be (-1)\/2*0 - -3. Let u = 2 - -27. Let p(r) = -10 + u - 16. What is v*n(z) + p(z)?\nAnswer: -3*z**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let z(d) = 4*d**2 + d - 1. Let v be z(1). Suppose -s - 12 = -2*a - 0*a, -4*s = 5*a - v. Let i(m) = m**3 - 4*m**2 + m + 4. Determine i(a).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 2, 1\/5, 6, 0.6, -4, 1 in descending order.\nAnswer: 6, 2, 1, 0.6, 1\/5, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let y(j) = -j**3 + 12*j**2 - 29*j - 9. What is the tens digit of y(6)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 773 is divided by 24\/(2 - -6) - -30.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(48)*-5 + (-5*(sqrt(3) + 1))**2 - ((sqrt(12)*-2)**2 - (sqrt(192) + -2)).\nAnswer: 50 + 38*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:58 PM and 1:00 PM?\nAnswer: 2","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-67)\/(70752\/336)*(-4)\/(56\/(-6))?\nAnswer: -3\/22","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Work out -6056.22 * 0.065.\nAnswer: -393.6543","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 21952\/(-406) - 12 - 7\/(-812)*8.\nAnswer: -66","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose d = 5 - 2. Let u be (0 - -2) + (-6)\/d. Let k be 2 - 4 - (-5)\/2. Is u at most as big as k?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(b) = b**3 - 8*b**2 + 6*b + 2. Determine l(7).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Expand 90*y**2 - 3666*y**3 - 937*y**3 - 93*y**2 + (-2*y + 2*y**2 + 2*y)*(-2*y + 3*y - 3*y).\nAnswer: -4607*y**3 - 3*y**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -6225, -25781, -58389, -104061, -162809, -234645, -319581?\nAnswer: -417629","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 195 - -47. Calculate the remainder when x is divided by 41.\nAnswer: 37","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 16078384 to the nearest integer?\nAnswer: 252","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve 10*d - 7*d + 2 = 2*f, 4*d = 4*f for d.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-16)\/(-20))\/(-2)*(2\/3)\/((-39)\/12870).\nAnswer: 88","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -5668 + 16674. What is the thousands digit of d?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 8884 - 5035. Suppose 8*s - o - 767 = 0. Suppose 5*f + 2*i + 0*i = s, 3*i - 339 = -3*f. List the prime factors of f.\nAnswer: 3, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((2 - 1 + 1)*(-4*g + 4*g + g) + 4 - 4 + g)*(-5 - 14 + 4)*(-18 - 6 - 8).\nAnswer: 1440*g","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let s(x) be the third derivative of -51*x**2 - 20\/3*x**3 - 4\/15*x**5 + 0*x + 1\/12*x**4 + 0. What is the second derivative of s(v) wrt v?\nAnswer: -32","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(r) be the first derivative of -2*r**3 - 241. Let o(x) = -2*x**2. Calculate -3*i(b) + 10*o(b).\nAnswer: -2*b**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let t be ((-87)\/(-9) + -7)*3. Suppose -t*r = -28 - 60. Are 12 and r nonequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -35 - -37. Find the second derivative of -7*w**z + 2*w + 4*w**2 + 3*w**2 + 16*w**4 wrt w.\nAnswer: 192*w**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1\/18 of a hour in seconds?\nAnswer: 200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) -4\/3 (b) 281 (c) 11\/146\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 241353176 is divided by 120676585?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let j be 2*(21\/(-6))\/(-1). Suppose p = -3*i + j, -2*p = -5*i - 0*i + 8. Suppose i*x = 5*x - 204. Does 18 divide x?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -40 + 45. Suppose -5*l - 154 = -4*g, -g - t*l + 38 = -6*l. Let n = -33 + g. Solve 0 = -n*c + 2*c + 4 for c.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 11955000 to the nearest 1000000.\nAnswer: 12000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let r(p) be the first derivative of p**4\/4 - 2*p**3 + 5*p**2\/2 + 3*p + 1. Let g be r(5). Suppose -g*l + 1 = d - 8, -8 = -d - 4*l. List the prime factors of d.\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -0.033 - -0.133. Is 21 < b?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of 77, 314, 719, 1298, 2057, 3002, 4139?\n\"Answer: m**3 + 78*m**2 - 4*m + 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 35.17799 centuries in months?\nAnswer: 42213.588","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 235319829.\nAnswer: 3, 797, 98419","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 48 and 2277.\nAnswer: 109296","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve 7 = -2*h - y, -3*h = 4*y + 67 - 44 for h.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let u(n) = 21*n + 315. Calculate u(-34).\nAnswer: -399","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: -4592+-682713800.1\nAnswer: -682718392.1","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is 55373 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.042371094 less than -0.057117?\nAnswer: -0.099488094","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is (31 + 3)\/(45\/75*30\/27)?\nAnswer: 51","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -26 - -32. Factor 28*q**2 - 8 - z - 24*q**3 + 18 - 8.\nAnswer: -4*(q - 1)*(2*q - 1)*(3*q + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-30 + 17 - 16)*(-6 - 59393*w - 2*w**2 + 59398*w + w**2) to the form s*w**2 + m + r*w and give r.\nAnswer: -145","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 51 + -41. List the prime factors of z.\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 121880, 243836, 365796, 487760?\nAnswer: 609728","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 51 = -0*q + q. Calculate the remainder when q is divided by 18.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 82*r = -7014 - 4712. Is -157 smaller than r?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3*w - 2*w + 5 + 0)*(7*w - 3 - 9 + 11 - 4*w + 0*w + 5*w + 0 - w + 0 + 5 + w - 5 + (3 - 3 - 2*w)*(-2 - 1 + 4) + w + w - 4*w + 3*w - w - 3*w).\nAnswer: 3*w**2 + 14*w - 5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let o(g) be the first derivative of g**4\/2 - 2*g**3 + 8*g + 113. Let o(k) = 0. Calculate k.\nAnswer: -1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h be 28 + -15*12\/(-54)*-3. Calculate the greatest common divisor of 75150 and h.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: 98957 * 0.2\nAnswer: 19791.4","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve 94 - 114 = 5*m for m.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Round -835.5 to the nearest 100.\nAnswer: -800","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is 77711 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 9504 and 12771?\nAnswer: 297","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (1 + -4*(1*(1 + sqrt(425)) + (1 + sqrt(425) - sqrt(425)) + 0)*1 + -4)**2.\nAnswer: 440*sqrt(17) + 6921","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -9067 + 9165. Solve 0 = -f*d + 87*d - 33 for d.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.0193911294 to 4 decimal places.\nAnswer: -0.0194","meta":{"dup_signals":{},"source":"numbers__round_number_test"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1218227228?\nAnswer: 2, 304556807","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: -1002343 (base 5) to base 9\nAnswer: -23817","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let d(l) = 553*l**3 - 3878*l**2 + 51*l - 13. What is d(7)?\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Does 137 divide 180018?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (i**(-5\/2)*i\/i**(-5))**(2\/45)*((i*i*i*i**(-2\/9))\/i)**(2\/29)\/(i**(2\/3)\/i)**(-1\/18) assuming i is positive.\nAnswer: i**(2033\/7830)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (5*2*3*-6*4*((sqrt(405) + -6*-1*sqrt(405) - sqrt(405)) + (1 + sqrt(405))*-4))**2.\nAnswer: -74649600*sqrt(5) + 848102400","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -7 + (8 - (3 + (15 - 3)) - -24)?\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 281312551?\nAnswer: 13, 21639427","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -43558 - -43557.9. Which is the nearest to w? (a) 8 (b) -5 (c) -21 (d) 1\/3\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:07 AM and 10:37 PM?\nAnswer: 690","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 4 t when four letters picked without replacement from tttttt.\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) 105 (b) -232 (c) 2\/9 (d) 169\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -130\/177 + 5780\/8673. Let z = -1088\/147 - s. Calculate the common denominator of z and -113\/6.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7 = -4*c - 3. Put c, -5, -8 in increasing order.\nAnswer: -8, -5, c","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: (4 - -2) + -2 - (-7 + 12)\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -5*(3*(sqrt(252)\/sqrt(4))**2*-5 + sqrt(448) + 0 + 0 + (sqrt(448)*-2*4 + sqrt(448))**2).\nAnswer: -105035 - 40*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose x - 40 = 3*z, 5*x + 8*z = 12*z + 189. Calculate the remainder when 293 is divided by x.\nAnswer: 34","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (4*2)\/((114 - 115)\/(2\/44))?\nAnswer: -4\/11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Work out -4306268 * -235.\nAnswer: 1011972980","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 34683?\nAnswer: 3, 11, 1051","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -245.0066 - -0.0066. Which is greater: 0.1 or q?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (-2 + 1)\/(4\/(-12)). Suppose -i = q*i - 24. Is i a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (4*j**2 - 4*j**2 - j**2)*(-24 + 15 + 13 + 14*j**2).\nAnswer: -14*j**4 - 4*j**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Subtract -102113.58997 from 699.\nAnswer: 102812.58997","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let f(n) be the first derivative of 2*n**2 + 19*n - 3. What is the remainder when 14 is divided by f(-4)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*b + 8 = -3*l + 18, 4*l - 26 = b. Suppose -l = -3*c - 0*c. Put -3, c, -2 in decreasing order.\nAnswer: c, -2, -3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-13)\/(572\/957))\/(282\/752).\nAnswer: -58","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 39040 and 8784.\nAnswer: 976","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let m(f) be the first derivative of 2*f**3\/9 - 69*f**2 + 820*f\/3 + 402. Find a such that m(a) = 0.\nAnswer: 2, 205","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -895592 by -111949.\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*a - a + 5*a)*(-2*a**2 - 2 + 4*a**2 + a**2) - 4*a**3 + 2*a**3 + 4*a**3.\nAnswer: 8*a**3 - 4*a","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: 0.03*0.2296327\nAnswer: 0.006888981","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Find m, given that -3*m**4 - 10073937*m**3 - 11276026322418*m**2 - 4207190663799782412*m - 4207179387783533928 = 0.\nAnswer: -1119326, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -5, -9, -13, -17?\nAnswer: -21","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Express (5*s**2 - 5*s**2 + 2*s**3)*(-s - 1 + 1) + 3*s**4 + 888*s**3 + 8*s - 204*s**3 - 7*s as a*s + z*s**2 + j + n*s**3 + h*s**4 and give n.\nAnswer: 684","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1190.\nAnswer: 2, 5, 7, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let a(q) = -q + 24. Let u(v) = -v + 49. What is 5*a(l) - 3*u(l)?\nAnswer: -2*l - 27","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*m - 2*h + 16 = 0, 4*h - 52 + 83 = -m + 63 for m.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 2898534 and 17.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is -74 - ((17 - -10) + (67 - 92))?\nAnswer: -76","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 2*-13.\nAnswer: -26","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let x(f) = 28*f**3 - 8*f**2 - 3*f + 10. Let n be x(5). Let c = -36199\/11 + n. Calculate the common denominator of c and 33\/4.\nAnswer: 44","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: 40.2*-0.148\nAnswer: -5.9496","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let s(r) = -6*r + 2. Let w(u) = 174*u**2 + 4*u - 44. Determine s(w(v)).\nAnswer: -1044*v**2 - 24*v + 266","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 21 in 2, 3, -1\/5, -0.04, 20?\nAnswer: 20","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -4 - -7. Suppose 2*q - 3*z = 8, 0 + l = 5*q + z. Let y(v) = -v**3 + 1. What is y(q)?\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2334?\nAnswer: 2, 3, 389","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 44 minutes after 2:46 AM?\nAnswer: 3:30 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is nine sixteenths of a minute in milliseconds?\nAnswer: 33750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is -12a4ce + 26?\nAnswer: -12a4a8","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 566 - 126. What is the highest common divisor of p and 720?\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 8842287.\nAnswer: 3, 2947429","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {k: 5, f: 2, i: 8, a: 1, h: 1, l: 3}. What is prob of sequence lk?\nAnswer: 3\/76","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 667 minutes before 10:49 PM?\nAnswer: 11:42 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 38540780?\nAnswer: 2, 5, 307, 6277","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is 100 - 1110001100001010000?\nAnswer: -1110001100001001100","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Expand (1 + 3 - 2)*(-836 - 412 + 858)*(39 - 39 + 9*o**2).\nAnswer: -7020*o**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 3\/16 or -252?\nAnswer: -252","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 3335*f*k*o + 5*f*o + 326*k*o + 422089*o with respect to k.\nAnswer: 3335*f*o + 326*o","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -55\/17 + 261\/170. Calculate the common denominator of u and ((-5)\/32 - -1)\/(33\/44).\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i be 2786\/12*2 + (-20)\/(-30). What is the greatest common divisor of i and 15?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 10 divide 2745?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Find p such that 6*p**4 + 177*p**3 - 543*p**2 - 34713*p - 17199 = 0.\nAnswer: -21, -1\/2, 13","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: (-14)\/36*(918\/63 - 14)\nAnswer: -2\/9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of 18, 12, 6?\n\"Answer: -6*f + 24","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*a + 3*d = -3, 2*a - 3*a - 2 = d. Let o be ((0\/a)\/(-1))\/2. Suppose o = -3*g - 74 + 311. Is g a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (u**(2\/7))**47\/(u**(1\/5))**(-34) assuming u is positive.\nAnswer: u**(708\/35)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 31102 (base 4) in base 13?\nAnswer: 505","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((sqrt(65) + (sqrt(65) - (2*sqrt(65) + sqrt(65))))*-3)\/(sqrt(320)*2 + sqrt(320) + sqrt(320)))**2.\nAnswer: 117\/1024","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (1*(1*(-4*sqrt(88)*1 - (sqrt(88)*2*-5 - sqrt(88) - sqrt(88))))\/((sqrt(112)\/sqrt(32))\/((-6*-1*sqrt(7) - sqrt(7)) + sqrt(7))))**2.\nAnswer: 405504","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 1028 and 3341?\nAnswer: 257","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -6645 - k + 6645.\nAnswer: -k","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let h(b) = 2*b**3 - 11*b**2 + 5*b + 1. Let w be h(5). Put 2, -1, 3, w in decreasing order.\nAnswer: 3, 2, w, -1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 160328 to the power of 1\/2, to the nearest integer?\nAnswer: 400","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Divide 417627 by 46403.\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: 12 * 493175\nAnswer: 5918100","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is (4\/8*(-19)\/(-38))\/(9\/84)?\nAnswer: 7\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 2967 and 1290.\nAnswer: 29670","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -6 - -8. Suppose -4*l + 0*z + a = -5*z, -z - 4 = -2*l. Suppose 0 = l*c - 0*t + 3*t + 21, 4*c - 3*t = -14. Which is smaller: c or -4?\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -2006, -4215, -6632, -9257, -12090, -15131, -18380?\nAnswer: -21837","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 0.083 + 10.917. Sort -0.4, 1, y, -3 in increasing order.\nAnswer: -3, -0.4, 1, y","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:45 PM and 1:17 AM?\nAnswer: 692","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: How many millimeters are there in 7\/2 of a centimeter?\nAnswer: 35","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 4003?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -2178 - -2177. Let j(p) = -p**3 + 2*p**2 + p. Give j(z).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 4076?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 282, 538, 794, 1050?\nAnswer: 1306","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 210 - 125. Let t be 3\/(-7) - s\/(-35). Let z be (t - 6)*-1 + -1. Solve 0 = 3*y + b + 2*b - z, 2*y + 5*b = 5 for y.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: -11002221 (base 5) to base 6\nAnswer: -2003245","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Divide 1 by 408057.\nAnswer: 1\/408057","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -42 + 45 - (-15 + 7).\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Do 980\/561819 and -1 have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let t(i) = 2*i**3 + 3*i**2 + 3. Suppose -4*r + 7*r = 6. Suppose r*g = -0*g + 16. Let k(c) = -2 + 8*c**2 + 0 + 6*c**3 + 10. Determine g*t(v) - 3*k(v).\nAnswer: -2*v**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let p be 24\/(-30)*245\/1. Let t = -5 - -10. Calculate the remainder when (t + -2)*p\/(-12) is divided by 17.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(u) = -u**3 + 14*u**2 + 7*u - 54. Calculate f(14).\nAnswer: 44","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is 1479\/27 + (-4)\/(-18) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 21283 is divided by 374?\nAnswer: 339","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 956487 divided by -7.\nAnswer: -136641","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -0.1679 + 25.1679. Which is the smallest value? (a) -1\/2 (b) y (c) 6\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -g + 14 = -3. Let y(w) be the first derivative of -w**2 - w**3 + 8*w - 13*w + 4*w**2 - 18*w + 3. Let f(s) = -s**2 + 2*s - 8. What is g*f(o) - 6*y(o)?\nAnswer: o**2 - 2*o + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 1878 and 103290?\nAnswer: 103290","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is -71 not equal to -71?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 d and 1 b when three letters picked without replacement from kkmkmbdcbvdbm?\nAnswer: 3\/286","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is t in -3*t**4 - 42639*t**3 - 170508*t**2 = 0?\nAnswer: -14209, -4, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is -2 + -101121000222221?\nAnswer: -101121001000000","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 186*a**3 + 76*a + 146713?\nAnswer: 558*a**2 + 76","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let b(s) = -s**3 - 2*s**2 - s - 1. Let p be b(-2). Suppose 2*c - p = -2*m - 7, -3*c - 13 = 5*m. Let w = -10 + 9. Which is smaller: m or w?\nAnswer: m","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(u) = u**3 - 7*u**2 + 8*u - 11. Let k be m(8). What is the highest common divisor of 13 and k?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 71 and 71.\nAnswer: 71","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in 4, 10, -2128629?\nAnswer: -2128629","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let n(a) = 4*a + 17. Suppose 69*g - 76*g = 119*g - 630. Let m(v) = 3*v + 16. Calculate g*n(y) - 6*m(y).\nAnswer: 2*y - 11","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 10179 divided by -783?\nAnswer: -13","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let t(y) = -87*y + 11407. Does 23 divide t(-78)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 7.84982l in millilitres?\nAnswer: 7849.82","meta":{"dup_signals":{},"source":"measurement__conversion_test"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 3? (a) -20 (b) -176 (c) 2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 16887545?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let q(o) = o**3 + 9*o**2 - 13*o - 8. Determine q(-10).\nAnswer: 22","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 1806 and 12?\nAnswer: 3612","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 55 - -479. Does 42 divide l?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(t) = -60201*t**2 + 2. Let a(i) = 3*i. Give a(h(u)).\nAnswer: -180603*u**2 + 6","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 3 z when three letters picked without replacement from zzzzz?\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 5*(sqrt(24)\/(sqrt(36)\/sqrt(3)) + -3 + sqrt(2) + -2)*-5*3.\nAnswer: -150*sqrt(2) + 375","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((f\/f**(-2\/9))\/((f*(f\/(((f*f**6\/f*f)\/f)\/f)*f)\/f)\/f))\/(((f\/f**(-3\/5))\/f*f)\/f**(1\/4)) assuming f is positive.\nAnswer: f**(697\/180)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 186 and 496.\nAnswer: 62","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*n + 70 = -5*g + 3*n, 30 = -g - 3*n. Suppose -19*w + 1366 + 298 = -123*w. Is g < w?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -4*1.8.\nAnswer: -7.2","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Round 17385000 to the nearest one hundred thousand.\nAnswer: 17400000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 365.41 - 363. Round g to one dp.\nAnswer: 2.4","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 15214 + -15212. Sort -20, 6, w in increasing order.\nAnswer: -20, w, 6","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 2381?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3335\/4*f**3 + 24565 + 8245\/4*f**2 + 235\/4*f**4 - 5\/4*f**5 + 20230*f = 0 for f.\nAnswer: -2, 17","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*y + 4*y + 80 = 0. Let o be 12\/y - (-84)\/15. Solve 4*t = 3*q - 10, -q - 3 = -0*t + o*t for q.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -163*q**3 - 2*q**2 - 3*q - 6416.\nAnswer: -489*q**2 - 4*q - 3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let l(s) = -s**3 - 4*s**2 + 2*s - 11. Let w be l(-5). Calculate the common denominator of 1*w\/(-6)*(-714)\/(-680) and (-5)\/(-240)*290\/4.\nAnswer: 480","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 128541 a multiple of 216?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 6293 and 1736.\nAnswer: 217","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 51 - 15 - 3 - 38.\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is (12\/54)\/(2*(-4)\/(-12))*-3?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 765?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:38 AM and 3:10 AM?\nAnswer: 92","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-16)\/(-5))\/((-402880)\/(-10072))?\nAnswer: 2\/25","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 12*q = -y + 13*q + 577, 3*y + 5*q = 1747. Solve 7*k = y - 544 for k.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(x) = 4*x + 294*x**3 - x - 292*x**3 - 2 - 5*x. Let h be l(-1). Let z(u) = 95*u**2 + 1. Is z(h) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*l - 4*i - i = 5, 4 = 3*l - 4*i. Is l greater than or equal to -2\/21?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(608) - ((-1*sqrt(608) - sqrt(608) - sqrt(608)) + sqrt(608)))\/(-1*sqrt(2)*-4))**2.\nAnswer: 171","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -2 - (288\/16 - 31).\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(c) = c**2 - 11*c + 19. Let h be i(22). Suppose -h = -8*d + 51. What are the prime factors of d?\nAnswer: 3, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(n) = 56*n - 479. Let c be f(9). Solve -c*p - 19 = 6 for p.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*p = -2*j + 6*j - 9, -3 = -p + j. Let g(r) = -r**3 - 15*r**2 + 16*r + 45. Let y be g(-16). Factor -z**2 + 47*z**4 + 4*z**p - y*z**4 + 3*z**2.\nAnswer: 2*z**2*(z + 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 3465 by 33.\nAnswer: 105","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve 56 + 64 = -40*x for x.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let v(j) = -16*j + 285. Let p be v(17). Which is smaller: p or -11?\nAnswer: -11","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -325 + 329. Let v(c) be the first derivative of 8\/3*c**3 + 3\/2*c**2 + 3\/4*c**p + 6 - 2*c. Factor v(o).\nAnswer: (o + 1)*(o + 2)*(3*o - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(x) = -2*x**3 + x**2 - 3. Let f(u) = 4*u**3 - 3*u**2 - u + 4. Determine 2*f(j) + 5*y(j).\nAnswer: -2*j**3 - j**2 - 2*j - 7","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let f(j) = 8*j**2. Let t(r) = -11*r + 8*r + 4*r. Give f(t(m)).\nAnswer: 8*m**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -n + 4*n - 2*c - 8 = 0, -c = 2*n - 10. Suppose n*k - 745 = -k. Is k a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence vvb when three letters picked without replacement from {v: 7, b: 5}?\nAnswer: 7\/44","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 99\/21742 and -19\/2354348?\nAnswer: 16480436","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (r*r**(-1))\/r**(-1\/4)*r**(-5)*r*r**(-2)*(r\/(r*r**(-1)*r*r)*r*r)**(10\/11)\/(r*r*r*r*r**(-2\/3)*(r*r**(2\/5)*r)\/r) assuming r is positive.\nAnswer: r**(-6319\/660)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-6)\/(-4))\/((-34)\/408)?\nAnswer: -18","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 y and 3 v when four letters picked without replacement from {y: 1, h: 6, v: 4}.\nAnswer: 2\/165","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let g(d) = 779*d**2 - 17*d. Let i(q) = -2338*q**2 + 51*q - 1. Let v(l) = -7*g(l) - 2*i(l). Let x be v(-6). What are the prime factors of x\/(-165) + 4\/(-30)?\nAnswer: 2, 5, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-1*(-2 + (sqrt(1900) - -1*sqrt(1900)) + 5 + 5))**2*-5 + -1.\nAnswer: -38321 - 1600*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is 5eb0 + -c?\nAnswer: 5ea4","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 126 is divided by 27?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {t: 2, q: 2, r: 5, s: 4, o: 1}. What is prob of picking 2 s?\nAnswer: 6\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Divide -170170 by -12155.\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*u**4\/13 - 14*u**3\/13 + 36*u**2\/13.\nAnswer: -2*u**2*(u - 2)*(u + 9)\/13","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(735) + (sqrt(735) - -1*sqrt(735)*-6) + sqrt(735) + (sqrt(735) - -2*-1*sqrt(735) - sqrt(735)))\/((-4*sqrt(21)*-1)\/(sqrt(567)*1 + sqrt(567))))**2.\nAnswer: 496125\/4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Round 2.264 to one decimal place.\nAnswer: 2.3","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 1538772*r**2 + 2*r - 2185060?\nAnswer: 3077544","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Add 866 and 18925.2.\nAnswer: 19791.2","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (1 + -1)*1\/(-2). Suppose 5*n - 65 = -l*n - 4*v, 0 = n + 2*v - 19. What is the greatest common divisor of n and 72?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is f in 2*f**3 - 418*f**2 + 3216*f = 0?\nAnswer: 0, 8, 201","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) -3\/4 (b) 203 (c) 32\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -686 = -8*s + 66. Suppose -10 = -j + 4. What is the remainder when s is divided by j?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 152123229 a multiple of 5216?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*b = b + 136. Suppose -3*m = m - b. Does 16 divide m?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (0 + 7 - 3)*(88 - 130*g - 88) + 1 + 2*g - 1 + 0*g - 5*g + 2*g + (-5 + 5 + 2)*(-2*g + 2*g - g) to t*g + k and give t.\nAnswer: -523","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -587 - -4417794.7903.\nAnswer: 4417207.7903","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose a = -2*a + 9. Calculate the common denominator of ((-103)\/8)\/(a\/(-4)) and 978\/140 + (-4)\/14.\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -2*l**3 - 8*l**3 - 4*l**3 - 52*l + 17*l**3 + 0*l**3 - 2 in the form f*l**3 + q + k*l**2 + m*l and give m.\nAnswer: -52","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -11226052, -22452107, -33678156, -44904199, -56130236, -67356267, -78582292?\nAnswer: -89808311","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Product of -646 and -16.8242.\nAnswer: 10868.4332","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is -7 times 140.6?\nAnswer: -984.2","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 2194591532 + -794174153. Let a = w + -1400417590.9999023. Let n = -212 - a. What is n rounded to five dps?\nAnswer: -0.0001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 406 - 280. Is 127 at least r?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-47 - -53) + 0 + 1.\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1706 is divided by 457?\nAnswer: 335","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is (-2 - -2) + (-3 - 0)?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 325495?\nAnswer: 5, 65099","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 1315123?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -0.05533 + 1.55673. Let m = 1.52 - k. Round m to three decimal places.\nAnswer: 0.019","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 5*a - 2*d + 527, 3*a + 2*d + 329 = -0*a. Let u be a\/(-4) - 4\/(-16). Suppose 4*j - u = 1. What is the units digit of j?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 17 - -33. Suppose 66 = 3*o - 2*t, 4*o + 3*t - 138 = -m. Let v = o + -1. Does 7 divide v?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(m) be the third derivative of m**7\/7560 - m**4\/8 - m**2. Let k(s) be the second derivative of p(s). Suppose k(l) = 0. Calculate l.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*k = -9*k + 45. What is the tens digit of k?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -865119, -865104, -865089?\nAnswer: -865074","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Work out -2.812 - 0.4.\nAnswer: -3.212","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let q(s) be the first derivative of 3 - 1\/2*s**3 + s + 1\/10*s**5 + 1\/4*s**2 - 1\/8*s**4. Suppose q(h) = 0. What is h?\nAnswer: -1, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in -75, 0.5, -4\/24677?\nAnswer: -4\/24677","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let a(y) = -11*y - 2. Calculate a(-5).\nAnswer: 53","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth root of 336914359 to the nearest integer?\nAnswer: 51","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Put 44\/9, -0.2, 175 in descending order.\nAnswer: 175, 44\/9, -0.2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Sort -19, -2, 1, -80556 in descending order.\nAnswer: 1, -2, -19, -80556","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let j be ((-170)\/(-4) - 1)*(0 - 2). Let s = 17 - j. What is the hundreds digit of s?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(m) be the second derivative of -m**6\/30 - 11*m**5\/20 - 7*m**4\/2 - 32*m**3\/3 - 16*m**2 + 19*m. Factor f(y).\nAnswer: -(y + 1)*(y + 2)*(y + 4)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 2\/3? (a) 1\/2 (b) -2\/9 (c) 5 (d) 2\/9\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 3543.\nAnswer: 3, 1181","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 14*l*u**2 + 561718*l*u + 11831224*u**2 with respect to l.\nAnswer: 14*u**2 + 561718*u","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let k be -11*(-11 - (-1 + 2)). Suppose 0 = -s + 6*s - 60. What is the highest common divisor of k and s?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 62102203?\nAnswer: 19, 3268537","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is -38 - (168 + (-169 - -103))?\nAnswer: -140","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-1 + 2 - 8)*(-6*v + 2*v + v).\nAnswer: 21*v","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(14)\/(sqrt(4)\/sqrt(2)) - (-3*sqrt(28)\/sqrt(4) + sqrt(7))) + (sqrt(7) + -3 + -3 - (3 + sqrt(7) + 3)))**2.\nAnswer: -72*sqrt(7) + 207","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is -440103423 (base 5) in base 9?\nAnswer: -3472867","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Express (d + 2*d + 0*d)*(0 + 11 + 5 - 42 - 19 + 12) in the form x + f*d and give f.\nAnswer: -99","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (5*sqrt(6)\/sqrt(2) + -2 + 5 + (-2*sqrt(24))\/sqrt(8) + sqrt(3) + 2 + (-2*sqrt(3)*-1 - (5 + sqrt(9)\/sqrt(3))) + -4)**2.\nAnswer: -40*sqrt(3) + 91","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 10.3 - 5.3. Sort 0, 1, -2\/11, c in ascending order.\nAnswer: -2\/11, 0, 1, c","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(x) = 29*x**4 - x**3 - 2*x**2 + 11. Let k(t) = -116*t**4 + 5*t**3 + 9*t**2 - 43. Let z(h) = 2*k(h) + 9*l(h). Differentiate z(a) wrt a.\nAnswer: 116*a**3 + 3*a**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 15*g**3 + g**2 - 28*g**3 + 2*g**4 + 11*g**3 + 0*g**4 - g to the form j*g**2 + u*g**3 + o + r*g**4 + q*g and give r.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let m be -1*0*3\/(-15). Suppose -5*z - 6 + 101 = m. What is the units digit of z?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 35 - 31. Suppose 0 = 3*q - 8 - 46. Let l = q - f. Solve -3*z - 2 = -l for z.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(f) = 6*f - 1. Let d(o) = -7*o + 2. Suppose -8*h + 76 - 28 = 0. What is h*x(u) + 5*d(u)?\nAnswer: u + 4","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0.3? (a) 2 (b) 1\/12 (c) 5 (d) 1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (-6 - -2)\/4*-3. Let c(m) be the first derivative of 0*m + 2\/3*m**s + m**2 - 1. Factor c(j).\nAnswer: 2*j*(j + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 25294 is divided by 12641?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 1496 + -1456. Calculate the smallest common multiple of a and 265.\nAnswer: 2120","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: 312 (base 5) to base 3\nAnswer: 10001","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 8270862?\nAnswer: 2, 3, 31, 53, 839","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 405 minutes before 3:47 AM?\nAnswer: 9:02 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 4*q + 2415123439*q**2 - 2415123436*q**2 - 3*q - q.\nAnswer: 3*q**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 39684 is divided by 211.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is 78479 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is 441198629 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(171)*-2 + 1)**2 - 1*sqrt(1539)*1 - (1*sqrt(228)*5)\/(sqrt(48)\/(-3*sqrt(4))).\nAnswer: -6*sqrt(19) + 685","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 99647093 - 99647093 - 2011*k**3.\nAnswer: -2011*k**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let i(d) = -2*d. Let f be i(-2). Let j = 4.1 - 4. What is the second biggest value in 2, f, j?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 2159533 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2060?\nAnswer: 2, 5, 103","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let w(x) = 207*x - 6827. Let s be w(33). Let c(q) = 6*q**2 + 2*q - 2. Let j be c(-3). Suppose -j = -5*r + 134. Calculate the highest common factor of s and r.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(t) = 13*t + 143. Let j be u(-12). Calculate the remainder when 36 is divided by (-6)\/3*j + -3.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(m) = -m**2 + 8*m + 11. Let r be g(9). Differentiate -2*d**2 - d**r + 2 + 4*d**2 + 6*d**2 with respect to d.\nAnswer: 14*d","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*s = -3*s - 6. Suppose -s*n - 4*j + 36 = 0, -j - 4 - 7 = -2*n. Solve 4*a - b = 4*b + 8, -2*b - n = 0 for a.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(x) = -x**3 + 39*x**2 + 75*x + 426. Determine s(0).\nAnswer: 426","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Put 0, -0.2, -5, 1\/3, 0.5 in increasing order.\nAnswer: -5, -0.2, 0, 1\/3, 0.5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 46094 + -15140. What is the tens digit of r?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*l = 3*a - 5, -12*l - 69 = 2*a - 19 for a.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let y(a) = 2*a**2 - 48*a + 18. What is y(24)?\nAnswer: 18","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (21\/(-2))\/((-39)\/26)*(-10)\/7.\nAnswer: -10","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -16, 4, 20 in descending order.\nAnswer: 20, 4, -16","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Put 0, -10, 3, -4, 1 in decreasing order.\nAnswer: 3, 1, 0, -4, -10","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*u = 8, -4*b = 3*u + 54 - 64 for b.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let l(z) be the third derivative of z**5\/15 + z**4\/6 - 5*z**3\/6 + 15*z**2. Let c be l(2). Suppose c*d = 10*d + 4509. Is d a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -2274\/37? (a) 1 (b) -3\/5 (c) 30\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is -2*(-2)\/(-84)*(-9 - 0)?\nAnswer: 3\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3946 = -12*w + 17642. Let m = w + -10943\/6. What is the common denominator of -67\/105 and m?\nAnswer: 210","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: -110010010111111101001 (base 2) to base 3\nAnswer: -10002212021202","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 152221862 divided by -65783.\nAnswer: -2314","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let m(b) = -b**3 - 9*b**2 - 9*b - 4. Let g(i) = -10*i + 23. Calculate the remainder when g(1) is divided by m(-8).\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*o + 2*x = -2*x - 57, -2*x - 12 = 10*o - 38 + 12 for o.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 42 is divided by 4.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 49.9 + -49.9. Which is the fourth smallest value? (a) -3 (b) i (c) 0.2 (d) -2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine k, given that 0*k**2 - 8*k**2 + 103*k**3 - 107*k**3 + 4*k + 8 = 0.\nAnswer: -2, -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -5*z**2 + 5*z**2 + 2*z**2 + (-4*z - z - 16*z)*(-2*z - 2*z + 2*z).\nAnswer: 44*z**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (2 - 18) + -1 + -3 + (41 - 47).\nAnswer: -26","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -690 - 753 - 714 + 4*a**2 + 2157.\nAnswer: 4*a**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: ((-1)\/(-2))\/(-16 + (-4154)\/155 + 45)\nAnswer: 5\/22","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -4*d**2 - 2133*d - 5*d**2 + 2133*d.\nAnswer: -9*d**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Does 429 divide 516516?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Put 0, -2, 17, 7, 5 in decreasing order.\nAnswer: 17, 7, 5, 0, -2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*y = -5*l - 5, 17*y - 6*l = 13*y + 8 for y.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 912 - 538. Does 34 divide b?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(v) = v**2 + 7*v - 26. Let f be l(-10). Suppose 2*r - 3 = 7*j - f*j, 5*r = -2*j + 36. What is the highest common factor of r and 48?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 40\/16*(-1 - (-6)\/(-10))?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(1176) - (sqrt(1176) - (sqrt(1176)*-1 - sqrt(1176))*4))\/(sqrt(1200) + 2*sqrt(1200) + -1*sqrt(48)).\nAnswer: -2*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is 1090330573 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Expand 6131 - 12311 - 11*z**2 + 6039 + (2 - 1 - 3)*(2*z**2 - 3*z**2 + 2*z**2).\nAnswer: -13*z**2 - 141","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let -208*k + 8*k**3 - 160 + 2*k**4 + 403*k**2 + 404*k**2 - 849*k**2 = 0. What is k?\nAnswer: -4, -1, 5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 859 divide 8964524?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 k and 1 u when three letters picked without replacement from {k: 6, u: 4, t: 3}.\nAnswer: 30\/143","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 2147 + -2154. Let p = -49\/4 + 27\/4. Which is smaller: p or w?\nAnswer: w","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(a) = a**2 + 5*a - 8. List the prime factors of z(-8).\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -3.1 + -0.9. Let k = w + 27. Let v = -22.9984 + k. Round v to 3 decimal places.\nAnswer: 0.002","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(m) = 1. Let y(x) = -3*x + 9. Let q = 108 - 103. Let k be 4\/4*(2 - 3). Let h(c) = k*y(c) + q*r(c). Give h(-3).\nAnswer: -13","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) 3 (b) -2 (c) 1\/17 (d) -5 (e) 4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Add together 0.2 and 348937430650.\nAnswer: 348937430650.2","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 692 minutes after 9:23 AM?\nAnswer: 8:55 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -23367\/2 - -11644. What is the third biggest value in -0.4, -3\/5, r, 0.5, 1\/4?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) 41 (b) 4 (c) -2\/11 (d) 15 (e) -198\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (b**(3\/8)\/b)\/(b\/b**(4\/3))*(b\/b**(-3))\/(b*b**(2\/11)*b) assuming b is positive.\nAnswer: b**(403\/264)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 63*b**2 + 2*b - 2*b + 2.\nAnswer: 63*b**2 + 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of -1334, -2662, -3990, -5318, -6646?\n\"Answer: -1328*x - 6","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Put 2\/5, 0.1, -3 in descending order.\nAnswer: 2\/5, 0.1, -3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is 4072346693 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*g - 6*g = -12, 2*t = -4*g + 10 for t.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: 0.05 * -233443\nAnswer: -11672.15","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Express (-o**2 + 5*o - 9*o + o - 10)*(-1 + 4 - 2) as m*o**2 + j + u*o and give u.\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Round -31.44735662 to 1 decimal place.\nAnswer: -31.4","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 1274 to the power of 1\/3, to the nearest integer?\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*v + 3*f + 21 = -21, 3*f - 28 = -2*v. Let y be 100\/56 - 4\/v. Let r = -5564.7 - -5565. Which is the nearest to -0.1? (a) y (b) r (c) -0.01\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of 96650919, 96650932, 96650959, 96651006, 96651079, 96651184?\n\"Answer: v**3 + v**2 + 3*v + 96650914","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Round -4274.15 to the nearest one thousand.\nAnswer: -4000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 962376 to the nearest integer?\nAnswer: 981","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -181\/5640 and -83\/705.\nAnswer: 5640","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 52\/(-36)*33\/2 and -7?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-51)\/102)\/((-1)\/(-14))?\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*o - 17*q = 2553, 11*q - 2964 = -5*o + 7*q. What is the least common multiple of 24 and o?\nAnswer: 600","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -19995 - -30517. What are the prime factors of w?\nAnswer: 2, 5261","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(i) be the first derivative of -i**4\/4 - i**2\/2 - 16. Calculate o(-2).\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of -436199, -872391, -1308577, -1744757?\n\"Answer: 3*h**2 - 436201*h - 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -10862 and 432?\nAnswer: -4692384","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 8 and 1632?\nAnswer: 1632","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let d(s) = 7*s**2 - 5. Let m = -6 - -6. Suppose 5*f - 23 = -4*p, -3*f + m*f + 12 = 3*p. Let h(i) = -10*i**2 + 7. What is f*d(r) + 5*h(r)?\nAnswer: -r**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from vqndwndngqd. Give prob of sequence gdnw.\nAnswer: 1\/880","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is 503518023 bigger than 503518021?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is one fifth of a minute in milliseconds?\nAnswer: 12000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (11 - 12)*(-7 - 0). Suppose -556 = -n*j + 480. Let x = 234 - j. List the prime factors of x.\nAnswer: 2, 43","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -2379 by -5.\nAnswer: 2379\/5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*l + 13263 = -5*f, -5*l - 3*f - 1289 + 17914 = 0. What is the units digit of l?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(t) = -11*t - 1. Let a be k(1). Let x = a - -23. What are the prime factors of x?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*s = 11 - 6. Is s >= -10\/21?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*g**4 + 1585*g**3 - 6405*g**2 + 4815*g = 0.\nAnswer: -321, 0, 1, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let g(s) = -2*s - 20. Let b be g(-11). Suppose -4*a - p + 46 = -b*p, 4*a = -3*p + 54. What is the remainder when 21 is divided by a?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence zz when two letters picked without replacement from {z: 12, v: 3}.\nAnswer: 22\/35","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 12*w = 16*w + 12. Does 10 divide 1 + 13 + (w - 1)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (366*m - 212*m - 153*m + 98)*(2 - 1 - 2)*(-2*m - 2*m + 3*m) to the form r*m + g*m**2 + t and give g.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (-4 + (-1978)\/(-558))\/(6\/(-36)). Let j = -2\/31 + i. Which is smaller: 4 or j?\nAnswer: j","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 0.3 - 0.4. Let t = -0.69 - 0.21. Let m = 0.1 - t. What is the nearest to n in -0.1, -4, m?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 27\/5 of a litre in millilitres?\nAnswer: 5400","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is -50530243 (base 6) in base 3?\nAnswer: -2201021210200","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let l be -5*1*(-10)\/5. Suppose 0 = 16*t - 6*t + 220. Let x be t\/(-6) + 26\/(-39). Solve 0 = -x*h - l - 5 for h.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*j = -6, 4*z - 3*j = -z + 69. Suppose -4*w = 2*r - 32, -5*r - 2*w + 22 = -18. Suppose -11*v = -r*v + z. Sort 3, v, -1 in increasing order.\nAnswer: v, -1, 3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is -1b4 + 3?\nAnswer: -1b1","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2 + 115*l**2 + 113*l**2 + 10*l**3 - 228*l**2 - 45*l**3.\nAnswer: -35*l**3 + 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*s = -3*j - 200, 0*j + 3*j - 3*s = -180. Let y be -4 + (-3 - -3) + j. Let a = 97 + y. What are the prime factors of a?\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(j) = 5*j**3 + 8*j**2 - 15*j - 53. Let g(p) = p**3 + p**2 - p + 1. Let s(d) = 4*g(d) - l(d). Let a be s(-5). Sort a, -5, 4 in decreasing order.\nAnswer: a, 4, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 366262309?\nAnswer: 7, 1021, 7321","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let b(r) = -2*r**3 - 154*r**2 + 4. Determine b(-77).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:16 AM and 2:08 PM?\nAnswer: 292","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is 1\/8 != 1889442?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (2 + -4)*(-3)\/2. Let q = g + 2. Suppose q*u - 36 = 59. Is u composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 226594.7 millennia to decades.\nAnswer: 22659470","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 264 minutes after 2:33 PM?\nAnswer: 6:57 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let r(c) = -4*c + 3. Let b be r(-2). Let t(z) = b*z - 1 - 5 - 5*z. Let y(l) = -5*l + 5. Give 4*t(u) + 5*y(u).\nAnswer: -u + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of 22, 47, 72, 97, 122?\n\"Answer: 25*f - 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Sort 21, 67.38, -1\/10 in decreasing order.\nAnswer: 67.38, 21, -1\/10","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is -4 - 8cbc555?\nAnswer: -8cbc559","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) 3 (b) 2\/115 (c) -11.55\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (z\/z**(-1)*z**(3\/5)*(z**(1\/2))**(-1\/32))\/(z**0*z**(2\/15)\/z*(z\/z**(-1\/2)*z)\/z*z\/(z\/(z*z**(-4\/3)*z))) assuming z is positive.\nAnswer: z**(411\/320)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let f(s) = -12*s**2 + 8*s + 8. Let v(k) = -k**2 + k + 1. Let g(p) = f(p) - 8*v(p). Let j(r) be the second derivative of -r**4\/6 - 7*r. Determine j(g(q)).\nAnswer: -32*q**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is -10221221 + 313103?\nAnswer: -3302112","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-835)\/(-10) + -13)\/(14\/(-56)*6).\nAnswer: -47","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(b) = -b**3 - 24*b**2 + 57*b + 801. What is r(-25)?\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 2 minutes before 6:40 PM?\nAnswer: 6:38 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let u(b) = b**2 + 8*b + 5. Let c be u(-6). Let o(r) = -r - 6. Let a be o(c). Solve 4 = -g + a for g.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 273 and 1596.\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 17 - 6. Let t = -10 + r. Let o(g) = 18*g**2 + 1. What is the tens digit of o(t)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 117 a factor of 245115?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of -24114, -23685, -22964, -21945, -20622, -18989, -17040, -14769?\n\"Answer: q**3 + 140*q**2 + 2*q - 24257","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 5*u**3 - 303647770*u**2 + 303647770*u**2.\nAnswer: 5*u**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let m(h) = -5*h - 7. Let p be m(-2). Suppose -3*u - 4*q + 3*q = -6, p*u = 2*q + 15. Let y = 71.1 - 71. Which is the nearest to y? (a) u (b) -1 (c) -0.2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ww when two letters picked without replacement from wzww?\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*h + 4 = -k, -12 = -2*h - 3*h + 3*k. Suppose 4*d - 10 + 2 = h. Is -7 - -5 - (d - 15) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 2 - 5*j**2 - 6*j**2 - 6*j**2 - j**2 as f + g*j + i*j**2 and give f.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -0.1 - -0.1. Suppose 21 = -36*h + 39*h. Which is the biggest value? (a) j (b) h (c) 5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 219655808 to the nearest integer?\nAnswer: 603","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (2*(sqrt(17) + -1) + 3)**2*-4 + -2.\nAnswer: -278 - 16*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let t(f) be the first derivative of -8\/3*f**3 - 7 + 4\/3*f**4 + 0*f**2 - 1\/5*f**5 - 16*f. Let j(n) be the first derivative of t(n). Factor j(y).\nAnswer: -4*y*(y - 2)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 10130 and 2026?\nAnswer: 10130","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 7716421 is divided by 143.\nAnswer: 141","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Does 25 divide 3238714?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let b(y) be the second derivative of 0 + 13\/12*y**4 + 0*y**2 + 0*y**3 + 4\/5*y**6 + 0*y**5 + 10*y. Find the third derivative of b(j) wrt j.\nAnswer: 576*j","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2135*p - 1380*p - 748*p.\nAnswer: 7*p","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -59 in 0.08, 3, 2, 6?\nAnswer: 0.08","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*g = 5*y - 587, 3*y + g = 4*g + 354. What is the hundreds digit of y?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (4*sqrt(60)\/sqrt(24)*-3)\/((2*sqrt(1815))\/(6*sqrt(12)\/sqrt(4))).\nAnswer: -18*sqrt(2)\/11","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let g be ((-21)\/(-322))\/((-44)\/8)*3965. Let l = g - -510\/11. Is l < -1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 1375064?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*b = -0*m + 5*m + 8, -3*m - 3*b - 6 = 0. Let x = m - -2. Let w(t) = t**x - t**2 - t**2. Let f(r) = -4*r. Give w(f(i)).\nAnswer: -16*i**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in 0.013, 1\/7, 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) -3\/7 (b) -4 (c) 0.5 (d) 656 (e) 1\/3 (f) 2\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -23\/558586 and -67\/68.\nAnswer: 1117172","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let v be -1*(-18)\/15 + 1085148\/(-215) + 1. Round v to the nearest 100.\nAnswer: -5000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose t - 4*f = 1, -4*f = -2*t - 7*f + 13. Let g = 15 - 18. Sort t, 3, g in decreasing order.\nAnswer: t, 3, g","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: -13 + (-702)\/(-102) + (-4)\/(-34)\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: -11464 (base 7) to base 14\nAnswer: -1134","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 116 - 112. Solve 6*x**4 + 16*x**5 + 9*x**5 + b*x**4 + 23*x**3 + 30*x**2 - 88*x**3 = 0.\nAnswer: -2, 0, 3\/5, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -982129 (base 11) to base 16.\nAnswer: -17f279","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 4 minutes before 11:27 AM?\nAnswer: 11:23 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -299, -317, -355, -419, -515, -649, -827?\nAnswer: -1055","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*m**5\/5 + 62*m**4 + 1124*m**3\/5 - 12612*m**2\/5 + 11034*m\/5 + 24462\/5 = 0 for m.\nAnswer: -151, -9, -1, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 71492214*o - 21862454 wrt o?\nAnswer: 71492214","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 90*g - 42 = -2*q + 86*g, 5*q + 30 = 5*g for q.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 164*i**5*x**2 + i**5 + 109*i**2*x + 2*x**2 wrt i?\nAnswer: 9840*i**2*x**2 + 60*i**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 345*b - 4 = -2*l + 347*b, 0 = -45*l - 5*b - 10 for l.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -0.3 in -2, 3, -0.2, 5?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 6 - 4. Let b(i) = k*i - 4 + 7*i - i**2 - 2*i + i. Determine b(6).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 671575*q*r**3 + q*r**2 + 10468*q + r**2 - 2*r wrt r?\nAnswer: 4029450*q","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -36936 - -36941. Let x(c) be the first derivative of 18 + 1\/9*c**6 - 1\/3*c**4 - 8\/9*c**3 + 4\/15*c**h + 4\/3*c + 1\/3*c**2. Suppose x(k) = 0. What is k?\nAnswer: -2, -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*j + 48 = -6*j. Let d be -1 + 1 + j\/15. Let v = 7.0121 - 6.9121. Which is the nearest to v? (a) d (b) -5 (c) -2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (o + 2*o - o)*(0*o**3 + 0*o**3 - 3*o**3) + 3461*o**4 + 0 - 3429*o**4 - 8 + 5*o**4 - 4*o**4 + 0*o**4.\nAnswer: 27*o**4 - 8","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let x(b) = 4*b - 5. Let o(j) = -7*j + 9. Suppose 17*a = 15*a + 12. What is a*o(s) + 11*x(s)?\nAnswer: 2*s - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 476329787 to the power of 1\/2, to the nearest integer?\nAnswer: 21825","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) 5 (b) 4 (c) -2\/3 (d) 0.5 (e) 70 (f) 2\/9\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let o be 402 + 6*4\/(-8). Let d be ((-1)\/3)\/((-7)\/o). Let v = 390 - 219. Calculate the greatest common divisor of v and d.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 5 and -0.074.\nAnswer: -0.37","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 204 + -336. Let o = i + 271. Let b = 391 - o. What is the highest common divisor of 28 and b?\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 1382\/7 - 196. Which is smaller: 1 or s?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 31 = 4*q - 9. What is the common denominator of 181\/90 and q\/(-4) + 1830\/450?\nAnswer: 90","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(o) = o**3 + 27*o**2 + 117*o + 18. Determine p(-9).\nAnswer: 423","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of 704, 703, 702?\n\"Answer: -g + 705","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 0.5 - 0.8. Let k = 4.2 - 0.2. What is the second biggest value in r, 3, k?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 15182.\nAnswer: 2, 7591","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -5\/1272152 and 33\/90868.\nAnswer: 1272152","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -12 = b - 5*b. Suppose b*k + 5*v - 1 = 0, 2 = -3*k + 5*k + 2*v. Suppose -4*r + 26 = -k*r. What is the highest common divisor of 117 and r?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(f) = -4*f**2 + 11888*f - 630282. Determine a(54).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from xexx. Give prob of picking 2 x and 1 e.\nAnswer: 3\/4","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is -103 - 1?\nAnswer: -104","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: 22725 times 2\nAnswer: 45450","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (d*d\/d**(-4)*d*d*d\/(d\/((d**(1\/3)\/d)\/d)))**(-45)\/((d\/d**(-1)*d*d)**(6\/7)\/(d**(5\/3)\/((d*d**2*d*d*d)\/d))) assuming d is positive.\nAnswer: d**(-6127\/21)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is -22031 (base 4) in base 5?\nAnswer: -10103","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 544 and 22236.\nAnswer: 177888","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 6134 - 122561\/20. Find the common denominator of o and 81\/1060.\nAnswer: 1060","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*c = -9, -2*c - 19 = -2*u + 9. Suppose 0*d + 2 = -2*d. Calculate the remainder when d - 0 - -22 - 0 is divided by u.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -15*b + 11*b + 44000 = 0. Round b to the nearest ten thousand.\nAnswer: 10000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 0.4, 3, 24 in decreasing order.\nAnswer: 24, 3, 0.4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 296640795?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let j(b) = 2*b + 14. Let g be j(-11). Which is smaller: -7 or g?\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 1183.6003 and -36.\nAnswer: -42609.6108","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: How many nanoseconds are there in sixty-one halves of a microsecond?\nAnswer: 30500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is (10\/(-4))\/(90\/27)?\nAnswer: -3\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in 0.021, -2\/5, -0.2?\nAnswer: -2\/5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0 + (-9)\/28 + 63\/84.\nAnswer: 3\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let b be 2\/7 - 6\/21. Suppose b = 3*f - 8 - 1. Suppose 4*q + 3*q = 56. Calculate the lowest common multiple of q and f.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 4934 - 19739\/4. Put a, 419, 0.06 in ascending order.\nAnswer: a, 0.06, 419","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 183 is divided by 56?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 3942?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of 143157, 286317, 429477, 572637?\n\"Answer: 143160*q - 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 10 divided by 2024?\nAnswer: 5\/1012","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let f(b) = b**2 + 6*b + 9. Let i(g) = 3*g + 246. Let k be i(-84). Determine f(k).\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put together 5 and 0.11703812.\nAnswer: 5.11703812","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let t be 316\/(-10) - (704\/80)\/22. Let w = -79 + -535. Is (-4)\/t*w*(-7 + 3) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between 25590058557 and 2?\nAnswer: 25590058555","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 45 + 39 - n - 31.\nAnswer: -n + 53","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let v(b) = b**3 - 4*b**2 - 10*b - 7. Let r be v(6). Solve r = -5*d + 15 for d.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-13 - -22 - 29 - 4) + 89.\nAnswer: 65","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is (-60)\/(-105)*385\/(-7920)?\nAnswer: -1\/36","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 26*j - 6*j + 480 = 0. Which is the fifth smallest value? (a) 4 (b) -4\/9 (c) 0.5 (d) j (e) -0.3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: 8 + -8 + -2 - 3\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve -622*c - 4897 = 79 for c.\nAnswer: -8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 2 + 3. Let r = 56 + -55. Let i be (2\/2*-5)\/r. Sort 1, i, c, 0.\nAnswer: i, 0, 1, c","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -6872437*s + 4706892?\nAnswer: -6872437","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let i(o) = -2*o**3 + 25*o**2 + 86*o - 949. Determine i(13).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -2*a**4 + 2 - 1780*a**3 + 3*a**4 - 3*a + 0*a**4 + 1708*a**3 to o + v*a**4 + s*a**3 + f*a + u*a**2 and give f.\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 14109434.3 rounded to the nearest one hundred thousand?\nAnswer: 14100000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((((u**4*u)\/u)\/u*u\/(u\/(u\/((((u*u**(5\/4))\/u)\/u)\/u)*u))*((u*u**5)\/u*u)**(-7\/2))**(-2\/5))**(-25) assuming u is positive.\nAnswer: u**(-305\/2)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 284, 294, 306, 320?\nAnswer: 336","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify b**(1\/9)*b**(-7) assuming b is positive.\nAnswer: b**(-62\/9)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 47537 to the power of 1\/2, to the nearest integer?\nAnswer: 218","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:58 PM and 2:11 AM?\nAnswer: 253","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let v be 1482\/10 - (-4)\/(-20). Suppose -v = -3*m - 7. Calculate the remainder when m is divided by 24.\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 238 + -178. Let n be (27\/(-6) + 0)*6\/(-9). Suppose n*k + 0*k = -3*y + 1434, -2*k + 958 = y. What is the highest common divisor of k and q?\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*h + 12 = -2*h. Let s = 2354 - 2348. What is the least common multiple of s and (20\/(-6))\/(2\/h)?\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((u\/(u\/(u*u**(-9)*u))*u)\/u)\/u*u*u**(4\/11)\/u*(u\/u**7)**(-9\/7) assuming u is positive.\nAnswer: u**(6\/77)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 86 + -168. Let m = -315 - -239. Let v = m - o. Which is greater: v or -2?\nAnswer: v","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 1 + 3. Let g(q) = 2*q. Let l be g(0). Solve y - 2*y - c = l for y.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -941817496 + -1?\nAnswer: -941817497","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let j(b) = -b + 5. Let t be j(6). Let k be 1 + (-3 - -2)*t. Let z(m) be the first derivative of -m**2\/2 + m + 3. Give z(k).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 2090219?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let l(t) be the first derivative of 331*t**6\/6 - 3*t**4\/2 - 32*t**3\/3 - 4*t - 534. Find the third derivative of l(c) wrt c.\nAnswer: 19860*c**2 - 36","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(d) be the second derivative of d**4\/12 - d**3\/3 - 22*d**2 - 115*d. Let v be y(8). Solve v*q - 7*q - 3 = 0 for q.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(o) = -o**3 + 5*o**2 + 5*o + 3. Let m be q(6). Let l(r) = 14*r**2 + 2 - 4*r**2 + 1 - 12*r**2. Let c be l(2). Sort m, c, 5 in decreasing order.\nAnswer: 5, m, c","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -40 - -62. Let v be 165\/d*(-4)\/(-6). Is 13 a factor of 3\/9*(8 - v) + 63?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -28952 - -28954. Solve 20*t - 25*t + 16 = 3*u, n*u + 6 = 0 for t.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 1046830?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 3561 + 1067 - 2*w - w + 4*w.\nAnswer: w + 4628","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:35 AM and 4:06 PM?\nAnswer: 631","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 8\/10*(-145 + 135) + 5284\/588 + -1.\nAnswer: -2\/147","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 6*o + 1144 = 42*n + o, -n + 20*o = 23*o - 21 for n.\nAnswer: 27","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Find y such that -y**3\/2 - 4325*y**2\/2 - 1838067*y\/2 - 206133543\/2 = 0.\nAnswer: -3863, -231","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let q(l) = -9*l. Let y(n) = -n. Give y(q(j)).\nAnswer: 9*j","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:08 AM and 2:02 PM?\nAnswer: 714","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Does 72 divide 12580896?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let w(l) = 2*l**2 - l - 1. Let d be w(-1). Suppose -d*q - q = 0. Suppose q = -0*u - 4*u + 4. Is 1\/2 != u?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 z and 1 h when two letters picked without replacement from {h: 4, n: 6, z: 4}.\nAnswer: 16\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -1\/4 in 4\/11, -670, 2\/21, 3, -608?\nAnswer: 2\/21","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -13\/7 + 213\/28. Let p be ((2 + -1)*(-35 + 33))\/(-7). Does p = f?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 1667863?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let j(y) = 139*y**3 + y**2 + 2*y. What is the units digit of j(2)?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 g, 2 y, and 1 f when four letters picked without replacement from gqqgqqtfyqyny?\nAnswer: 6\/715","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from cuxcuqhuxccqxxhcc. What is prob of sequence qh?\nAnswer: 1\/68","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: 0.034269 times -0.05\nAnswer: -0.00171345","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of 5843, 11683, 17523, 23363, 29203?\n\"Answer: 5840*f + 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 19 - -12307.11.\nAnswer: 12326.11","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve -43227*h = -43208*h - 399 for h.\nAnswer: 21","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve -7*m = -3*m - 5*h - 15, h = 5*m - 3 for m.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let p(n) be the first derivative of -n**6\/20 - n**5\/20 - 7*n**2\/2 + 3. Let d(h) be the second derivative of p(h). Find the third derivative of d(u) wrt u.\nAnswer: -36","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find f, given that -2*f**3\/23 - 3262930*f**2\/23 - 189244894*f\/23 - 2744026574\/23 = 0.\nAnswer: -1631407, -29","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence dud when three letters picked without replacement from {g: 1, u: 1, d: 3}?\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of -689, 232, 1759, 3886, 6607, 9916?\n\"Answer: -g**3 + 309*g**2 + g - 998","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*f - 13 = -g, 2*f - g + 6*g - 19 = 0. Let q(c) = 0*c**2 - c**3 + c - 4*c**f - c**2 + 0*c**2 + 5. What is q(-5)?\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is 20301022113 + 0?\nAnswer: 20301022113","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (0 + 2)*-3 - -3. Put 5, 0, v, 2 in descending order.\nAnswer: 5, 2, 0, v","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (-6)\/33 + 780\/(-66). Let l = a - -17. Which is bigger: 3 or l?\nAnswer: l","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 1\/4 in 3\/7, 0.4, 1.1?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) 4 (b) -1\/7 (c) 9 (d) -4\/13\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: -10102 (base 4) to base 9\nAnswer: -334","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Work out -614283 - -0.3.\nAnswer: -614282.7","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 4472 and 860?\nAnswer: 172","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let x(g) be the third derivative of -5*g**8\/336 + g**7\/7 + 2*g**6\/3 + g**5\/6 - 25*g**4\/8 - 20*g**3\/3 + 39*g**2. Find r such that x(r) = 0.\nAnswer: -1, 1, 8","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: 32\/240*-20*9\/3\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 3 + -3. Solve k = -4*o - 18 + 2 for o.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -3*n + 21*n - 57*n - 60*n - 8*n to the form v + r*n and give v.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let n(z) = -2*z + 64. Let y be n(15). Let q(m) = 4*m + 42. Let g be q(-2). What is the highest common factor of y and g?\nAnswer: 34","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is c in -3*c**4 - 17*c**3 - 34*c**2 - 28*c - 8 = 0?\nAnswer: -2, -1, -2\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: 9 + (-18 - (1 + -8)) + -30\nAnswer: -32","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -7 + 10. What is the closest to 0.1 in 0.04, z, -5?\nAnswer: 0.04","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: 268 (base 13) to base 11\nAnswer: 356","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 7021421801 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Find i, given that -3*i**5 - 171840*i**4 - 2458857954*i**3 + 54150391176*i**2 - 396417556731*i + 965354645976 = 0.\nAnswer: -28651, 7, 8","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 17 in -30, -0.02, 1, -2?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(17) + -5*sqrt(425) + 3.\nAnswer: -24*sqrt(17) + 3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 2 - (-14 - -13) - 2026\/(-4)*34?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(v) = -2220*v - 2. Let r(n) = -285*n**2. Give p(r(w)).\nAnswer: 632700*w**2 - 2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: (-22)\/(-110) + 4*3\/15\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (2200\/350)\/(-11)*(-35)\/(-22)?\nAnswer: -10\/11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let i be 4\/50*(-7 - -2). Let u = 0.2 - 0.1. What is the nearest to u in i, 3\/4, 1?\nAnswer: i","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 2.67 + -2.79. What is the closest to 0.1 in -1, 0.5, d?\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 105877 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -1\/2? (a) -64 (b) 1 (c) 1162.9 (d) 19 (e) 3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 4586223 and 69?\nAnswer: 69","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(7) + 2 + 0)*5.\nAnswer: 10 + 5*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 704 and 44?\nAnswer: 44","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 76397 and 241.\nAnswer: 241","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 36 - 38. Sort x, -10, 5 in ascending order.\nAnswer: -10, x, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 57782691?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let f(h) = 2211*h + 145. Let c be f(7). Suppose 13*p - c = 11*p. Is p prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -12\/30475 and -111\/85330.\nAnswer: 426650","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -39084 or -39190?\nAnswer: -39190","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 19 to the power of 1\/3, to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let r(m) = 2*m**2 - 309*m + 11577. What is r(62)?\nAnswer: 107","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*c + 23 = -73. Let r = c + -14. What is the tens digit of r?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 17781010, 35562017, 53343024, 71124031, 88905038?\nAnswer: 106686045","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(200) - (sqrt(200) + 0 + sqrt(200))) + -1 + 3 + sqrt(200) + sqrt(200) + sqrt(200) + 0 - (6*sqrt(200)*6 - -3*(2 + sqrt(200))))**2.\nAnswer: 2960*sqrt(2) + 273816","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(1100)*5 + (sqrt(11)*6 - sqrt(11)) + -1.\nAnswer: -1 + 55*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is 1319 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is -375 + -178?\nAnswer: -50d","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 135 and 4260.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 61*b - 60*b + 28315. List the prime factors of 2\/11 + b\/(-55).\nAnswer: 5, 103","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (-2)\/(88\/228) + 2 + 17 + -14. Sort -2, 1\/9, -2\/5, 4, b in ascending order.\nAnswer: -2, -2\/5, b, 1\/9, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:01 PM and 5:10 AM?\nAnswer: 429","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 581 and 29963?\nAnswer: 83","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let i(r) = r**2 + r + 13. Let x(m) = m**2 - 3*m + 4. Let k be x(0). Suppose k*a - 156 = -8. What is the remainder when a is divided by i(0)?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is t in 2*t**4 - 2*t**3 - 8*t**2 + 8*t = 0?\nAnswer: -2, 0, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:55 PM and 2:50 AM?\nAnswer: 175","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 2633 + -2630. Solve -4 = -2*b - 3*k, j*k + 6 = 3*b - 0 for b.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 4 - (5 - (7 + -6)).\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 61*b**2*q**2 + 161*b**2 + 4*b*q*y**3 - 4*q**2*y + y**3 wrt q.\nAnswer: 122*b**2*q + 4*b*y**3 - 8*q*y","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5 = -7*p + 2*p. Let z = 154 + -153.6. What is the nearest to p in 1, z, 2\/7?\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -110 + 223. Let a(g) = -g - g**2 + 113 - g**3 - s. Let w(x) = -2*x**3 - 3*x**2 - 2*x - 1. Let n = -30 - -29. Determine n*w(c) + 3*a(c).\nAnswer: -c**3 - c + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 5442215.125701 + -12.125701. Let u = l - 5442174.00059. Let g = 29 - u. Round g to four dps.\nAnswer: 0.0006","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 6*z = -4 - 8 for z.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 89239058, 178478116, 267717174, 356956232?\nAnswer: 446195290","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: -1011111 (base 2) to base 10\nAnswer: -95","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 291\/2 + -146. Which is the nearest to y? (a) -3\/2 (b) 2\/5 (c) -2\/17\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*j + 22 = -3*z, 2*z = -49*j + 51*j - 8 for j.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of -8542, -17075, -25608, -34141, -42674, -51207?\n\"Answer: -8533*y - 9","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*o - 2*l - 10 = 3*l, 3*o = l - 17. Let f = o - -8. Solve -13 = -f*m + v, m - 5 = -v + 2 for m.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 57 is divided by 21?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Express (-10*v**3 + 5*v**3 - 7*v**3)*(-36 + 27 + 67) + 2*v**2 - 2*v**2 - 3*v**3 in the form i*v**3 + r + k*v**2 + s*v and give i.\nAnswer: -699","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1275741?\nAnswer: 3, 23, 6163","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 704216 divided by 4?\nAnswer: 176054","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let c(r) = -4*r. Let m be (-1 - 59)*(-8)\/16. Suppose m = -l + 84. Let w(j) = -54 + l + 9*j**2. What is w(c(a))?\nAnswer: 144*a**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Does 16 divide 9082?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 29 + -23. Suppose -3*y = s - 5, -2*s + x = s. Let g be y\/(-2)*(-4 + 5). Which is the smallest value? (a) g (b) 5 (c) 2\/7\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor x**2 + 9784*x - 19572.\nAnswer: (x - 2)*(x + 9786)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.00517282 to 3 dps.\nAnswer: 0.005","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 2231 is divided by 377.\nAnswer: 346","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of -150, -129, -90, -33, 42, 135, 246?\n\"Answer: 9*i**2 - 6*i - 153","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 3075 smaller than -15?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 2137 + -2107. Let a(m) = 12*m - 15. What is the remainder when a(5) is divided by b?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k be 1\/(-1) - (-5 - (-32)\/8). Differentiate -2*o**3 + k*o**3 - 9*o - 667 + 572 wrt o.\nAnswer: -6*o**2 - 9","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -1612987 divided by 35?\nAnswer: -1612987\/35","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 120*m**3 + 36*m**2 - 36*m**2 + 360*m**3 - 87*m**3.\nAnswer: 393*m**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from llcjflcgl. What is prob of picking 1 f, 1 c, and 1 l?\nAnswer: 2\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 1.5 in 1\/4, 4, 0.5, 8.1, -584?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Expand -99*l**3 - 96*l**3 + 207*l**3 + 2*l**3 + 2*l**3 - 2*l**3 + (-l + l - 2*l**2)*(0*l - l - l) - l**3 - 5*l**2 + 5*l**2 + 5*l**3 - 2*l**3 + 0*l**3.\nAnswer: 20*l**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 8974798?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 172 + -170. Suppose 5*x = a*x + 342. Does 8 divide x?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 9\/3*(2618\/51)\/(-22)?\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the sixth biggest value? (a) 23 (b) 1\/2 (c) -163\/4 (d) 4 (e) -0.16 (f) 2.7\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 18 and 96960?\nAnswer: 290880","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 231461 is divided by 167?\nAnswer: 166","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -84 - -90. Sort u, -0.1, -2\/9 in descending order.\nAnswer: u, -0.1, -2\/9","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 101 - 14 = -29*j for j.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let n(v) be the third derivative of v**6\/120 + 19*v**5\/60 - v**4\/12 - v**3 + 12*v**2. What is the tens digit of n(-19)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*o**2\/5 + 1548*o\/5 + 146302.\nAnswer: -2*(o - 1105)*(o + 331)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve -131*z = 408*z + 779*z - 19770 for z.\nAnswer: 15","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: 7ac4 (base 13) to base 2\nAnswer: 100001101001101","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Round -71212.3757 to the nearest 100.\nAnswer: -71200","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let s(d) be the third derivative of -d**6\/720 - d**4\/12 + d**2. Let b(h) be the second derivative of s(h). Determine b(-3).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the eighth root of 85333274 to the nearest integer?\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 262 + -257. Solve -f = -4*n - 12, 3*f + 22 = -y*n + 7 for f.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: 566721 (base 9) to base 3\nAnswer: 122020210201","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is -2 + -6262154?\nAnswer: -6262156","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let k**2 + 59322106*k + 879778065068809 = 0. Calculate k.\nAnswer: -29661053","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) -4 (b) 3 (c) -1.4 (d) -6\/5 (e) -7 (f) 0.05\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (r*r**(-15)*r)**3 assuming r is positive.\nAnswer: r**(-39)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let p(z) = z**2 + 37*z - 33. Let s be p(-38). Sort -1\/5, 0, s.\nAnswer: -1\/5, 0, s","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -6*i = -1232 + 1208 for i.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Find n such that -5*n**2 + 0 - 20*n - 1 + 1 = 0.\nAnswer: -4, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*h - 0*x + 5*x - 26, -2*x = -5*h + 36. Suppose 4 = -4*v, 5*f - h*f = v - 1226. Is f composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(o) = 2*o**3 + 1. Let l be x(-1). What is the nearest to 1\/2 in -0.5, l, -5\/2?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 104.96 times 11?\nAnswer: 1154.56","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in 0.3, -5, -0.081, -0.05, 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is 328026792 a multiple of 206?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let b be 14 - (-3 + 801\/45). What is the closest to 6 in b, -0.3, 0, -5\/4?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 256 is divided by 71?\nAnswer: 43","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0.2? (a) -1 (b) -5 (c) 0.5 (d) -4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let d(r) = 1365 - 9*r**2 - 7*r**2 - 1365. Let l(w) = -2*w**2. Determine d(l(q)).\nAnswer: -64*q**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: 51.5 * 1\nAnswer: 51.5","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Work out 3 * -296.13.\nAnswer: -888.39","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 322597077?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let b(m) = m**3 - m**2 - 2*m - 36. Let r(u) = 2*u**2 - 3*u + 1. Let j be r(5). Let v(f) = -4. Let t(g) = j*v(g) - 4*b(g). Factor t(z).\nAnswer: -4*z*(z - 2)*(z + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (l**0)**(-19)*(l\/l**(-2\/27))\/(l\/l**(-2)) assuming l is positive.\nAnswer: l**(-52\/27)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 12 - 8. Solve m*c - 5*c - 4 = 0 for c.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 52 + 11 = -9*b. Let s be 8*((-34)\/(-8) + 10 + b). Suppose 320 = -5*v + 5*y, v - s = 2*v + y. What is v rounded to the nearest ten?\nAnswer: -60","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:37 AM and 7:10 AM?\nAnswer: 153","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*z - 5*l = -7, 7*l - 2*l - 43 = -3*z. Suppose 13*o = z*o + 56. Suppose o*x = 13*x - 550. What is the hundreds digit of x?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 4104 by -1368.\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let b(n) be the second derivative of n**3\/3 - 9*n**2\/2 + 55*n - 2. Let r(z) = 3*z + 4*z - 8*z. Determine r(b(x)).\nAnswer: -2*x + 9","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -1629 - 1615 = -4*v. List the prime factors of v.\nAnswer: 811","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine k, given that -45*k**3 - 132830*k**2 + 29520*k = 0.\nAnswer: -2952, 0, 2\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 0*x**4 + 2*x**3 + 0*x**4 - 2*x + 2*x**4 + (2*x**4 + 2*x**4 - x**4)*(-1 - 4 + 0) to the form d*x**3 + p + l*x**4 + t*x**2 + y*x and give t.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*n**3 + 778*n**2 - 59878*n + 1303310.\nAnswer: -2*(n - 295)*(n - 47)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -a + 74 = 10. Is 4 a factor of a?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 54 - 105. Let k = 46 + q. Let w = -4 + 7. Which is the nearest to k? (a) w (b) -2\/3 (c) -2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 57 divide 368974?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -1 + 3. Suppose 6 = d + 2. Suppose d*q = q - v + 5, 4*q + 5*v = -8. Sort -3, k, q in decreasing order.\nAnswer: q, k, -3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -92 + 95. Let b(l) = 2*l**2 + 2*l - 12. Let z be b(t). Solve -13 - z = 5*h for h.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many days are there in 13636.8 hours?\nAnswer: 568.2","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is six fifths of a milligram in micrograms?\nAnswer: 1200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let t(k) = k + 4. Let r be t(-4). Let v be 0\/((-1)\/(-2)*-2). Suppose 4*w + 5*j = 141, r = w - v*j + j - 36. What is the common denominator of 7\/3 and w?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 806175.\nAnswer: 3, 5, 3583","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: How many micrometers are there in 21\/8 of a millimeter?\nAnswer: 2625","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {w: 4, x: 4, i: 3, c: 1, m: 1}. What is prob of sequence mw?\nAnswer: 1\/39","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 3288.\nAnswer: 2, 3, 137","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 387 - 221. What are the prime factors of z?\nAnswer: 2, 83","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 158 divide 7217124?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 480448887?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 96 is divided by 53.\nAnswer: 43","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: 24 (base 12) to base 14\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.9378530152 plus 85939?\nAnswer: 85938.0621469848","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Put 1\/8, -197\/2, -0.5, -2\/23, -0.2 in decreasing order.\nAnswer: 1\/8, -2\/23, -0.2, -0.5, -197\/2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Does 3 divide 72?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let o(d) = -104*d - 131. Let i(n) = -847*n - 1048. What is -2*i(w) + 17*o(w)?\nAnswer: -74*w - 131","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (-7)\/(1 - (3 - 1)). Let f(o) = o**2 - 4*o + 7. Let z be f(4). Is z not equal to s?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 197602?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-9)\/2*(256\/24 - 10)?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((((p\/p**(3\/8))\/(p\/((p*p**(-3\/2))\/p*p*p)))**(-2\/67))**(-39\/5))**15 assuming p is positive.\nAnswer: p**(117\/268)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Convert -1244401 (base 8) to base 14.\nAnswer: -90329","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let v be 0\/(-1 + -1 + 0). Suppose 3*q = -4*w + q + 98, -3*q + 3 = v. What is the remainder when w is divided by 9?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 8 a factor of 1664?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7 + 9 = c + 2*f, -2*c = 5*f - 34. Let u = -18 + c. List the prime factors of (-2)\/(u\/(-3)) - -3.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(f) = -3*f + 8. Let t be h(-2). What is the highest common factor of t and 203?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {q: 7}. What is prob of sequence qq?\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Work out -0.2433457 + 1.653.\nAnswer: 1.4096543","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*a - 190 = 3*w, -a - 2*a = -4*w - 146. Suppose -2*m - 18 = -a. Calculate the remainder when 27 is divided by m.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 17380 to the nearest integer?\nAnswer: 132","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: -12193 divided by 3\nAnswer: -12193\/3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-153*x**3 + 5*x**3 - 105*x**3 - x**2 + x**2)*(-11*x - 20*x + 7*x).\nAnswer: 6072*x**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let l(y) = 508*y**2 - y - 8. Is l(3) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*o - 3 - 17. What is the nearest to -0.1 in o, 5, 0.02?\nAnswer: 0.02","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -0.028, -3, 0, 4 in increasing order.\nAnswer: -3, -0.028, 0, 4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Express (-2 - 80*r + 139*r - 74*r)*(-250*r + 173*r + 163*r + 4) - 5*r**2 + 5*r**2 - r**2 as l + n*r + z*r**2 and give n.\nAnswer: -232","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Factor 4*o**2 + 2756*o.\nAnswer: 4*o*(o + 689)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in -0.3, -3.1, 0.5?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is -1 - 32?\nAnswer: -33","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*o + 0*x + 30 = x, -24 = -4*o - 4*x. Suppose -12 = 2*y - o*y. Let j(h) = 42*h + 46. What is the remainder when j(-1) is divided by y?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of 696, 2057, 4020, 6585?\n\"Answer: 301*h**2 + 458*h - 63","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 0.3 + -0.42. Is f greater than -3\/4?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is 12 + -5633136?\nAnswer: -5633124","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (-2 + 4)*7*(-17)\/1785. What is the nearest to -3\/2 in 2\/3, -8, n?\nAnswer: n","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: -30121022222 (base 4) to base 16\nAnswer: -3192aa","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there in seven thirds of a hour?\nAnswer: 140","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let q(l) = 2*l**3 + 52*l**2 - 68*l - 13. What is the remainder when q(-27) is divided by 61?\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -211*n - 197*n - 38*n + 5798 for n.\nAnswer: 13","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*m + 28 + 2. Solve -8*a = -m*a - 4 for a.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -95 or -99?\nAnswer: -99","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 25770 (base 9) in base 12?\nAnswer: a099","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {v: 7, i: 3}. What is prob of sequence vivi?\nAnswer: 1\/20","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*x - 21 = 3*b, 3*b = -5*x - 2*b. Suppose 4*p + 2*g = 144, -x*p + 77 = -2*g - 17. Let y = p - -26. List the prime factors of y.\nAnswer: 2, 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -5, -4, -1, 0.\nAnswer: -5, -4, -1, 0","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is 15 a factor of 370964490?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(637)*2 - sqrt(637))*3 - (2*(sqrt(78)*-2 + sqrt(78)))\/sqrt(6)) + -2.\nAnswer: -2 + 23*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 23174 is divided by 978.\nAnswer: 680","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -1.741 + 3.741. Sort -1\/7, -0.2, h, 5, 7 in increasing order.\nAnswer: -0.2, -1\/7, h, 5, 7","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*p = -17 - 7. Is 5 a factor of (-2 - -8)*(-38)\/p?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is -3 + -10412442?\nAnswer: -10413000","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -260927, -260958, -261007, -261074, -261159, -261262, -261383?\nAnswer: -261522","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 11889 divided by -11.\nAnswer: -11889\/11","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of 201, 205, 217, 243, 289, 361?\n\"Answer: b**3 - 2*b**2 + 3*b + 199","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 87927, 88220, 88709, 89394?\nAnswer: 90275","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((d**9*d*d**(-2\/7))\/(d**7\/d)**(-11))**(-28) assuming d is positive.\nAnswer: d**(-2120)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let y(k) = -11*k**2. Let d(r) = 26*r**2. Give d(y(s)).\nAnswer: 3146*s**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is -24fc + -bc?\nAnswer: -25b8","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let q(p) be the first derivative of -8*p**3 + 81. Let c(g) = 1 - g - 1. Determine q(c(r)).\nAnswer: -24*r**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -25\/2352 and -55\/112.\nAnswer: 2352","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in i - 938 - 2*i - 965 + 1903.\nAnswer: -i","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose x + 3 = 0, -4*c - 14 = -3*c + x. Let n = c + 17. Let p = 10 + -5. Solve -p = n*g - g for g.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 178 is divided by 91?\nAnswer: 87","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {p: 15, n: 3}. What is prob of sequence npnp?\nAnswer: 7\/408","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let u be ((-2)\/6)\/(3\/(-9)). Let i be 10*(2 - u)\/2. What is the greatest common factor of i and 10?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (a**(3\/13)\/a)\/(a**(2\/9)\/a)*(a**(-7)*a)\/(a*a*a\/(a\/(a**13*a))) assuming a is positive.\nAnswer: a**(-2573\/117)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let y(j) = -j**2 - j. Let o(g) = 2*g**2 + g. Let k(z) = -z**2 + 3*z - 6. Let a be k(2). What is a*y(q) - o(q)?\nAnswer: 2*q**2 + 3*q","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 0 or -2286\/2431?\nAnswer: -2286\/2431","meta":{"dup_signals":{},"source":"comparison__pair_test"},"subset":"dm_maths"} +{"text":"Question: Is 630 a multiple of 7?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let j be 1230\/328 + (-11)\/4. What is the fifth biggest value in j, -2, -5, -2\/5, 2?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -33, -53, -63, -57, -29, 27, 117, 247?\nAnswer: 423","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 1897 and 7?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 24022260 to the power of 1\/10, to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*v = h + 7 - 0, v - 4*h - 14 = 0. Let a = -2.3 - -0.8. Let r = a + 1. What is the nearest to -3 in r, v, -4?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 795.9982ml in litres?\nAnswer: 0.7959982","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1474539 is divided by 86.\nAnswer: 69","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 431528 and 2052.\nAnswer: 76","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -20909, -20893, -20875, -20855, -20833, -20809?\nAnswer: -20783","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let o be -2 + (0 - (-26)\/10). Let f = 4 - 4.07. Let g = 0.37 + f. What is the third smallest value in g, -2\/17, o?\nAnswer: o","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (2*r**2 - 3 + 3)*(-1 - 1 + 0) - 9*r**2 - 7*r**2 - r**2 in the form j*r**2 + t*r + o and give j.\nAnswer: -21","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 50402 divided by 6?\nAnswer: 25201\/3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (r**14\/r*r*(r**(-2\/11)*r*r)\/r*(r\/r**(2\/33))\/(r\/(r*r*r**(1\/2)*r)))**(-49) assuming r is positive.\nAnswer: r**(-59045\/66)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let c(v) = 2*v**3 - 2*v**2 - 4*v**3 + 3*v**2 - 4. Let l(x) = 2*x**3 - x**2 + 3. Let g(h) = 3*c(h) + 4*l(h). Find the third derivative of g(p) wrt p.\nAnswer: 12","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v be -8*(-15)\/(-180)*1*-3. Suppose v*l - 24 = -r, 13*l = 10*l + r + 36. Calculate the highest common divisor of l and 60.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(w) = -12*w**3 - 15*w**2 + 16*w - 13. Let r(i) = -22*i**3 - 32*i**2 + 32*i - 27. Let g(b) = 3*r(b) - 7*y(b). What is the tens digit of g(4)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -1.507 - -3.0332. Let q = d - 23.5282. Let r = 0.002 + q. Is r > -2?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(n) = -7*n**2 + 127*n - 44. Determine q(0).\nAnswer: -44","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -4 + (sqrt(637) + 3)**2 + sqrt(637) - ((sqrt(637) + -2 + sqrt(637))**2 + -1).\nAnswer: -1909 + 105*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let p(t) = -5*t - 4. Let l be ((-2 - -2) + -1)\/(4\/(-12)). Let n(u) = -48*u + 1 - 1 + 44*u - l. Let m = 290 - 296. Calculate m*n(g) + 5*p(g).\nAnswer: -g - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -p + 6 = 2*i, 4*p + 0*p - 2 = 3*i. Let q(n) = n**3 - 6*n**2 + 7*n - 6. What is the remainder when (6\/9)\/p*45 is divided by q(5)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -8*c - 3*r + 46, 0 = 1744*c - 1743*c - 4*r + 3 for c.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: 2 divided by -593466\nAnswer: -1\/296733","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*u = 85 + 164. Is u a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 3859893 a multiple of 27?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2 + 3 + 1)*(7*v + v**2 - 14*v + v**2).\nAnswer: 4*v**2 - 14*v","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 103141454?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-4 + -1*sqrt(153) + 4 + sqrt(153) + 1 + -5 + -4)**2.\nAnswer: 64","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 41 and 22878.\nAnswer: 22878","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) 26 (b) 0 (c) 0.3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Do -1 and -2\/212205 have different values?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: 0.12 + 72025\nAnswer: 72025.12","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of a*k**2 + 3327*a + 39102*k**2 wrt k?\nAnswer: 2*a*k + 78204*k","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let s(f) = 2*f**2 + 5*f - 4. Let n be s(3). Solve 4*i - 9 = -g, -n + 8 = -5*g + 4*i for g.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d be ((-156)\/(-5))\/(-3) + 22\/55. Sort d, 3, 5, -1.\nAnswer: d, -1, 3, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -6 - ((3 - 0) + -3 - 2).\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let b(i) = -3 - i - 2*i - i. Suppose -5*w - 44 = -3*z - 53, 5*w + 12 = -4*z. Give b(z).\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 7*z - 8*z**3 - 2*z**2 - 18*z**2 + z + 18*z**4 + 2*z**4.\nAnswer: 4*z*(z - 1)*(z + 1)*(5*z - 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0.04, -2.4, -1633850 in ascending order.\nAnswer: -1633850, -2.4, 0.04","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Expand (9*z - 18*z + 14*z)*(-11*z**3 - 12*z**3 + 6*z**3).\nAnswer: -85*z**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (c\/(c*c\/(c*c*c**(-2\/7))))**33*c**(9\/7)\/c**(2\/11) assuming c is positive.\nAnswer: c**(1900\/77)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let i(f) = -f**3 + 15*f**2 + 17*f + 19. Let x be i(16). Suppose 2*w + 5 = x. Solve h - 4*h = -w for h.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(s) = 6*s**2 + 133*s + 560. Let m be j(-35). Do 3254 and m have different values?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 799755155 to the nearest integer?\nAnswer: 28280","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Convert a4bd (base 14) to base 5.\nAnswer: 1402031","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is -1 equal to 5\/1282?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 153297.\nAnswer: 3, 17033","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 20980 is divided by 725?\nAnswer: 680","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {b: 2, u: 4, n: 2, f: 2, y: 2}. What is prob of sequence yy?\nAnswer: 1\/66","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 4611*m**2 + 4616*m**2 + 4577*m**2 + 4603*m**2 - 18397*m**2.\nAnswer: 10*m**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -4174 + 4198. Is g >= 308\/13?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -19 - -36. What is the units digit of d?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 4880*x - 1181*x + 8843*x - 1 + 333*x.\nAnswer: 12875*x - 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is 534723 a multiple of 1270?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let c(f) = f**2. Suppose j = 2*g + 10, 7*j - g = 2*j + 14. Let t(w) = -w**3 - 2*w**2. Calculate j*t(a) + 3*c(a).\nAnswer: -2*a**3 - a**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 206978 to the nearest integer?\nAnswer: 59","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((z**(-6)\/z**(-7))\/(z**0\/(z\/(z*z**(-4)))))**(-48) assuming z is positive.\nAnswer: z**(-240)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 61 - 5 - (706 - 645).\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 0.05 - -0.95. Let u = -69 + 36. Let b be u\/24*2 - -2. Which is smaller: c or b?\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 1361 divide 13026131?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 13703432.8502 + -13701695. Let g = o + -1738. What is g rounded to two dps?\nAnswer: -0.15","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 10138 is divided by 53.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Product of 23.161616 and -0.4.\nAnswer: -9.2646464","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Express (83*v**2 + 87*v**2 - 159*v**2)*(1 - 10 + 6) as k*v**2 + j*v + n and give k.\nAnswer: -33","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is 203181 a multiple of 10?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let -3*m**3\/2 + 192*m**2 + 426*m - 4680 = 0. What is m?\nAnswer: -6, 4, 130","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 3 y and 1 m when four letters picked without replacement from smzyzymzqzzqyamzamm.\nAnswer: 5\/3876","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 43.73679 rounded to the nearest integer?\nAnswer: 44","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: 4782*-0.2\nAnswer: -956.4","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 1\/218 + 54\/109. Let m = 51 - 89. Let r be (6\/12)\/(m\/8). Which is the nearest to d? (a) -2 (b) r (c) -3\/5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h be ((-18)\/27)\/((-8)\/(-2)). Let w = 0.823 + 4.177. Sort 0.04, h, w, -14 in descending order.\nAnswer: w, 0.04, h, -14","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 19056547 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-4*1*(sqrt(228) + -6*sqrt(228)*1))\/((sqrt(432) + sqrt(432) + 2*sqrt(432)*3 + sqrt(432) + sqrt(432) - sqrt(432))*-4)*2.\nAnswer: -5*sqrt(19)\/27","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*i - 2*i + i = 0. Let n be (0 - i\/3)\/(-2). Suppose -2*h - h + v + 47 = 0, -4 = -4*v. Solve -4*r = -h - n for r.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of 19646, 19644, 19638, 19628, 19614, 19596, 19574?\n\"Answer: -2*p**2 + 4*p + 19644","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 338493 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 c and 1 u when two letters picked without replacement from {c: 3, u: 1}?\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -4? (a) -7 (b) -16 (c) 23\/2 (d) 15 (e) -5\/8\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let h be 270\/3 - 1 - -1. Let s be ((-24)\/28)\/(8\/(-28)) - -15. Calculate the highest common divisor of h and s.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 12164779*-3.\nAnswer: -36494337","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -676 + 678. Calculate the least common multiple of w and 96.\nAnswer: 96","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 19875321 divided by -11.\nAnswer: -19875321\/11","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 205712 divided by 3.\nAnswer: 205712\/3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let f(a) = 127*a + 114. Is f(9) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-6*(-11)\/(77\/7))\/((-6)\/312*6).\nAnswer: -52","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 30504*g - 29910*g + 29700 = 0 for g.\nAnswer: -50","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 1791152025 to the nearest integer?\nAnswer: 1214","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2367172?\nAnswer: 2, 19, 31147","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {u: 3, l: 1, f: 4, h: 1, t: 2, g: 1}. What is prob of sequence fhh?\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 66 - 66. Suppose 10*v + 34 - 274 = d. What is the highest common divisor of 12 and v?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.79 + -709534?\nAnswer: -709533.21","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of -415, -418, -423, -430, -439, -450?\n\"Answer: -n**2 - 414","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.00014796211 rounded to 7 decimal places?\nAnswer: 0.000148","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 6258 is divided by 573?\nAnswer: 528","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*c = -5*m - 37965, 0 = -2*c + m + 1147 + 14034. Calculate the remainder when c is divided by 30.\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 3618 + 0.06532259868?\nAnswer: 3618.06532259868","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-2*sqrt(1215))\/(sqrt(12)\/sqrt(4)*-6).\nAnswer: 3*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is -5 - 1440?\nAnswer: -1445","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 425856*f**3 - 25 - f - 2*f**2 - 425854*f**3 - f**4 - 6*f to l + z*f + r*f**2 + y*f**3 + u*f**4 and give y.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 75380355 is divided by 161.\nAnswer: 155","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 7 + -5. Suppose -2*j - q + 3*q = 12, -m*q = -6. Suppose -3*b - 11 = -0*v + 5*v, -4*b + 3*v - 5 = 0. Which is greater: b or j?\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of (-474)\/(-176)*17\/(-51) and -31\/16.\nAnswer: 176","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -16669788 or -16669797?\nAnswer: -16669797","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -4*l**4 + 178*l**3 - 777 wrt l?\nAnswer: -16*l**3 + 534*l**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Factor m**3 + 1056*m**2 + 79055*m + 78000.\nAnswer: (m + 1)*(m + 80)*(m + 975)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 43\/70 + -3\/14. Let l = 104 - 118. Which is smaller: l or d?\nAnswer: l","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-2*-1*sqrt(224))\/(sqrt(63)\/(sqrt(18)\/sqrt(2))).\nAnswer: 8*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of (-2680)\/(-35) - 16\/28?\nAnswer: 2, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 643 + 704 = w. Suppose 0 = -5*g + w - 527. What is the hundreds digit of g?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*c + 91 = 4*y - 29, 3*c = 5*y + 98. Solve 13*s + 18*s = c for s.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_test"},"subset":"dm_maths"} +{"text":"Question: Let g(c) = -5*c**3 - 6*c**2 - 4*c - 3. Let o be (-20)\/(-190) - (-1350)\/171. Let f(a) = 14*a**3 + 17*a**2 + 11*a + 8. What is o*g(h) + 3*f(h)?\nAnswer: 2*h**3 + 3*h**2 + h","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -0.1? (a) 3 (b) -2 (c) 7218 (d) -1\/7 (e) -4\/7\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (4 + sqrt(153) + 1 + sqrt(153) + sqrt(153) - sqrt(153)*5*-1)**2.\nAnswer: 240*sqrt(17) + 9817","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -3? (a) 1\/64 (b) -4 (c) 1 (d) 0.6 (e) -0.5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0, 5, -0.16, -2 in ascending order.\nAnswer: -2, -0.16, 0, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 20678000 rounded to the nearest one hundred thousand?\nAnswer: 20700000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve 155*p + 112*p - 341*p = -251*p - 18054 for p.\nAnswer: -102","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -12\/7 in 2, -19, 1, 4, 0.8?\nAnswer: 0.8","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: -d9938 (base 16) to base 13\nAnswer: -252843","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 405828 to the nearest integer?\nAnswer: 74","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7*f + 29 = 8. What are the prime factors of ((-6)\/9*-1)\/(f\/270)?\nAnswer: 2, 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((v\/(v\/(v*v**11*v)*v))\/v*(v*v\/(v*v**21))\/v)\/((v**(2\/31)*v)\/((v**(1\/10)\/v)\/v)) assuming v is positive.\nAnswer: v**(-4019\/310)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is 38 a factor of 2888?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: (3 - 38) + 37 + -34\nAnswer: -32","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Work out 0.07 * -56.2.\nAnswer: -3.934","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*b + 134 = 2*b - 2*t, -5*t + 5 = 0. What is the greatest common divisor of 51 and b?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*f - y - 7 = 0, 0 = -f + y - 3*y + 11. Let t(v) be the third derivative of -v**5\/60 + 5*v**4\/24 + v**3\/3 - 4*v**2 + 3. What is t(f)?\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -26 = -350*s + 352*s. Sort s, -3, 2, 4 in decreasing order.\nAnswer: 4, 2, -3, s","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0? (a) 0.15 (b) 2\/33 (c) 52 (d) -1 (e) -1\/2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: How many centuries are there in 21\/2 of a millennium?\nAnswer: 105","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 11384499?\nAnswer: 3, 7, 542119","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Sort -47, 1, -23, -8, 3, -6 in ascending order.\nAnswer: -47, -23, -8, -6, 1, 3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((b\/((b**(4\/3)*b)\/b))\/b*b**(3\/8))\/((b\/(b*b**(-2\/11)))\/(b\/b**5)) assuming b is positive.\nAnswer: b**(-1357\/264)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is 13285 at least as big as 13264?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 47440 divided by 2209?\nAnswer: 47440\/2209","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let u(x) = -13*x + 74. Let z(b) = 9*b - 50. Give -5*u(c) - 7*z(c).\nAnswer: 2*c - 20","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*f + 2*f + 90. Suppose -4*a - 66 = -5*a. Let p be (-56)\/a - f\/27. Is 0 >= p?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(g) be the first derivative of 7*g**3 + 62*g - 53. Differentiate w(o) wrt o.\nAnswer: 42*o","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-6)\/(-2))\/(72\/(-16))?\nAnswer: -2\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 1289092414?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 81745583?\nAnswer: 81745583","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: -28 + (-16694)\/(-306) + -25\nAnswer: 14\/9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is 490829 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let 58*h**3\/3 + 362504*h**2 - 862546*h\/3 = 0. What is h?\nAnswer: -18751, 0, 23\/29","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 22348180?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Express -269*p**4 - 3*p**2 - 11 - 270*p**4 - 270*p**4 + 2*p**3 - 274*p**4 + 1097*p**4 in the form i + u*p**3 + z*p**4 + v*p + j*p**2 and give i.\nAnswer: -11","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 193850721\/650 + -298232. Find the common denominator of l and -95\/4.\nAnswer: 1300","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -3*h**2 + 25*h**3 + 16*h**2 - 3*h**2 + 4 - 13*h**2 - 20*h wrt h?\nAnswer: 150*h - 6","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 19796 to the power of 1\/4, to the nearest integer?\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*f - 15 = 5*t + 3*f, f - 1 = 3*t. Let y be (-3 + 0)\/t + 24. Let o = y - 10. What are the prime factors of o?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 121477 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from yvvyyyyyvyyyyyyvyvyy. Give prob of picking 2 v and 2 y.\nAnswer: 70\/323","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((b*b\/((b*(b\/(b**2*b))\/b*b*b)\/b))\/b**6)**(-9) assuming b is positive.\nAnswer: b**27","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is f in 4*f**4 + 432*f**3 + 17496*f**2 + 314928*f + 2125764 = 0?\nAnswer: -27","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (w*w**(-6)*w*w\/w**(-6))**(1\/31) assuming w is positive.\nAnswer: w**(3\/31)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 6\/(-2)*(18\/15)\/(20\/(-50)).\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Work out 70 * 13.\nAnswer: 910","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -129, -127, -115, -87, -37, 41?\nAnswer: 153","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the ninth root of 349461 to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -244 - -497\/2. Which is smaller: z or 5?\nAnswer: z","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -105*h + 104*h + 832 = 0. Suppose 7*v - 505 - h = 0. Does 10 divide v?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -9*h**5 - h**4 - 953*h**3 + 20*h**2 - 103 wrt h.\nAnswer: -540*h**2 - 24*h - 5718","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(539)*-2 + -1)**2 + -2)*-1 - (-1 + (((1 + sqrt(539))**2 - sqrt(539)) + sqrt(539) + -4 - sqrt(539)) + 1).\nAnswer: -2691 - 35*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is 57073 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in -1\/3, -1, -0.5, -0.08?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1532303?\nAnswer: 1532303","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1\/2*h**5 - 33*h**3 + 48 + 28*h - 34*h**2 - 17\/2*h**4 = 0 for h.\nAnswer: -12, -2, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 4487 a factor of 2334146374?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 208 divided by -5268.\nAnswer: -52\/1317","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -s = 4*d - 3*s, 0 = -4*d - 5*s + 28. Suppose -4*y + 8551 = -5*k - 7286, d*y + 4*k - 7886 = 0. Is y prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 2\/(-24)*(2 - (-112)\/(-24)).\nAnswer: 2\/9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 168282 - 73397 = -2711*w for w.\nAnswer: -35","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in 6\/13, 1.11, 2\/9, 5, -5, 0.23?\nAnswer: 6\/13","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -45912, -45891, -45870, -45849?\nAnswer: -45828","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*i + 2*i - 8. Which is greater: -1\/5 or i?\nAnswer: i","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 2694?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let o be 5\/(-25)*(2\/16)\/((-36)\/(-720)). Which is the nearest to -2? (a) -0.1 (b) -1 (c) 22 (d) o\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 1183.8 + 6687.2. Let s = h - 7870.5993. Let c = s + -0.4. What is c rounded to 4 decimal places?\nAnswer: 0.0007","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -t + 2*k - 13 = 0, -27*k = -t - 29*k + 3 for t.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 52*d = 48*d + 540. What are the prime factors of 1\/(-5) - (-3879)\/d*3?\nAnswer: 2, 43","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 8567038 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1008*v - 13*i = -1005*v + 51, 7*v + 19 = 3*i for v.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve -7*w + 608239 = 608099 for w.\nAnswer: 20","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*u**3\/15 - 16*u**2\/15 - 8*u\/5 + 96\/5.\nAnswer: 2*(u - 6)**2*(u + 4)\/15","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 123*y - 36*y**3 - 123*y + 208*y**2 + 27*y**2 + 40*y**3 to h*y + r*y**2 + g + m*y**3 and give r.\nAnswer: 235","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 12306.\nAnswer: 2, 3, 7, 293","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -23 - -48. Let y(z) = -3*z**2 + 22. Let w(j) = 35*j**2 - 265. Let u(k) = m*y(k) + 2*w(k). Factor u(l).\nAnswer: -5*(l - 2)*(l + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -10 = -24*v - 82 for v.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: How many hours are there in 12\/7 of a week?\nAnswer: 288","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let c(w) = 2*w**2 + 5*w - 4. Let p(n) = -n**2 - 3*n + 2. Determine 3*c(a) + 5*p(a).\nAnswer: a**2 - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 4?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let a(z) = -z**3 + 12*z**2. Let i be a(12). Let c = i + -2. Put c, 5, 4 in ascending order.\nAnswer: c, 4, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -3*a + a + 2*n - 2, -4*n = -2*a + 2 for a.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-6)\/(24\/20)*(-3)\/(-3).\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let b(o) = -13*o**3 - 1923*o**2 - 5*o + 5. Let s(i) = -20*i**3 - 2885*i**2 - 8*i + 8. Determine -8*b(u) + 5*s(u).\nAnswer: 4*u**3 + 959*u**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: (-31)\/(-93)*(-1 + 1)\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*f - 5*a - 8 = 6*f, -4*f = -5*a - 1. Sort 4, -2, f, 3 in ascending order.\nAnswer: -2, f, 3, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from kkccckkk. Give prob of picking 2 c and 2 k.\nAnswer: 3\/7","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is 3 + 12103310?\nAnswer: 12103313","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is 1114 + 4?\nAnswer: 1123","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 3660935?\nAnswer: 5, 732187","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((l\/(l\/((l\/l**7*l)\/l)*l))\/(l*l**8))\/((l*l*l**(-2\/21))\/l**(-5)) assuming l is positive.\nAnswer: l**(-481\/21)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 141 minutes before 6:13 PM?\nAnswer: 3:52 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 810 and 93440.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: How many meters are there in 50319.17nm?\nAnswer: 0.00005031917","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 25780291*z - 4744649?\nAnswer: 25780291","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: How many centuries are there in 0.0297185 years?\nAnswer: 0.000297185","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let z(q) be the third derivative of -31*q**7\/10 - 1066*q**3\/3 + 33*q**2 + 2. What is the first derivative of z(j) wrt j?\nAnswer: -2604*j**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -3393 divided by -1.\nAnswer: 3393","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -900 - -907. Let x = -2 - -3. Sort x, -4, 4, w in increasing order.\nAnswer: -4, x, 4, w","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor r**3\/2 - 66917*r**2\/2 + 607256944*r - 1554655152722.\nAnswer: (r - 31934)**2*(r - 3049)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 i and 1 f when two letters picked without replacement from iicffifccci?\nAnswer: 12\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 341 + -350. Which is the second biggest value? (a) -4 (b) n (c) 0.3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-8)\/1*11*(-54)\/7128?\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of -1175, -1176, -1177?\n\"Answer: -w - 1174","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.4157 plus 0.3?\nAnswer: 0.7157","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) 2 (b) 57 (c) -1.2 (d) -727\/6\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 33, 108, 239, 432, 693, 1028?\nAnswer: 1443","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) 1 (b) 2 (c) -7\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1953460 is divided by 1953456.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 g and 1 f when three letters picked without replacement from {f: 3, g: 2}.\nAnswer: 3\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when (-5*1)\/(421\/(-3368)) is divided by 0 + -3 + 4 + 6.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-27)\/18 + 2)*(-99 - -47)?\nAnswer: -26","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*v + 9 = -0*v. Let q = 5 + v. What is the units digit of q?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is 4 + -97a4?\nAnswer: -97a0","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 23577715?\nAnswer: 5, 7, 673649","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -19\/35929026 and -95\/61592616.\nAnswer: 431148312","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) -10 (b) -7\/312 (c) 6\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of -14373, -14405, -14437, -14469?\n\"Answer: -32*s - 14341","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Round -25443.907 to the nearest one hundred.\nAnswer: -25400","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 20 = 6*c - c. Suppose c = t + t. What are the prime factors of t?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 5426611994?\nAnswer: 2, 13241, 204917","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in -2, 5, -1, -0.4, -38.16?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Sort 5, 596, -2, 3 in decreasing order.\nAnswer: 596, 5, 3, -2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (2*(sqrt(11) - (sqrt(11) - sqrt(1375)\/sqrt(5))) - (2 + sqrt(99) + 2 + sqrt(99)))**2.\nAnswer: -32*sqrt(11) + 192","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*s = 2*c - 281, -4005*s + 151 = c - 4006*s. Calculate the remainder when 594 is divided by c.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: 40612479 - -4239679\nAnswer: 44852158","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (x\/x**(-3\/7)*x**(-12)*(x**0*x)\/(x**(6\/11)*x*x))**(-2\/15) assuming x is positive.\nAnswer: x**(622\/385)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 165438 divided by -14?\nAnswer: -11817","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 36 (base 16) in base 15?\nAnswer: 39","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: How many years are there in twenty-one fifths of a millennium?\nAnswer: 4200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let o(p) = p**2 + 2*p. Let a be o(-3). Let m be -1 + (2\/2 - a). Is 2\/m + 472\/24 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is 218 - 1182102?\nAnswer: -1181884","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -1611 + 8.49734.\nAnswer: -1602.50266","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in 37\/2, 0.01, -3?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -0.061 + 26.061. Let g = -37 + m. Let j = 0 + -0.1. Which is bigger: g or j?\nAnswer: j","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -1, 3.23, 10, 5, 8\/9 in decreasing order.\nAnswer: 10, 5, 3.23, 8\/9, -1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*a = -12 + 8 for a.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of 651, 5159, 17195, 40461, 78659, 135491, 214659, 319865?\n\"Answer: 617*o**3 + 62*o**2 + 3*o - 31","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: How many grams are there in 18.46675 milligrams?\nAnswer: 0.01846675","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*b**3 + 387*b**2 - 584*b + 195 = 0. What is b?\nAnswer: -195, 1\/2, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:52 AM and 6:30 PM?\nAnswer: 458","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1, 17, -5, 7, -11 in increasing order.\nAnswer: -11, -5, 1, 7, 17","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Total of -13.18316 and 507149.\nAnswer: 507135.81684","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is 322178861 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 1874645202?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0.1 in -2\/3, -103, 3, -3?\nAnswer: -2\/3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of -784, -657, -482, -235, 108, 571, 1178, 1953?\n\"Answer: 4*n**3 + 99*n - 887","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let n(a) = 2*a - 17. Let q be n(11). Suppose q*x - 11 = o - 27, -5*x = 5*o + 40. What is the closest to 0.2 in -0.5, 0.4, x?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 26 a factor of 92?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let a be 8\/(-16) + (-2175)\/4. Let g = 547 + a. Is 4 greater than g?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 2769557168?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 107519 is divided by 58?\nAnswer: 45","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -6.4 + -1.6. Let f = o + 3. Which is the third biggest value? (a) f (b) 1\/4 (c) -2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 240 minutes after 1:28 PM?\nAnswer: 5:28 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let t(i) = -2*i**2 + 123*i - 809. Determine t(52).\nAnswer: 179","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 1\/20 of a litre?\nAnswer: 50","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is 34 + -33655?\nAnswer: -33621","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: -2*44\nAnswer: -88","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 164730463 is divided by 170?\nAnswer: 123","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 10.\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: 110 (base 2) to base 11\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let p be 0 + (-7 + 15 - -616992). Round p to the nearest one hundred thousand.\nAnswer: 600000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -77877679.3 to the nearest 10000.\nAnswer: -77880000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is ((13\/6)\/13)\/(-14 + 2095\/150)?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -t**3 - 19*t**2 + 88*t - 92 = 0. What is t?\nAnswer: -23, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 2284 and 1991077.\nAnswer: 571","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Factor -s**4\/4 - 34*s**3 + 1435*s**2\/4 - 1825*s\/2.\nAnswer: -s*(s - 5)**2*(s + 146)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -1.2 - -28.2. Let y = g - 31. Which is the nearest to -2\/7? (a) -2 (b) 2\/19 (c) y\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -4*c**2*f**3*z - 59545*c**2*z - c*f**3*z + 2154060*f**2 wrt c.\nAnswer: -8*f**3*z - 119090*z","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-5 + sqrt(1008) + 1 + sqrt(1008)*-2*1)*6 + 5)**2.\nAnswer: 2736*sqrt(7) + 36649","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let u be 3\/6*-1*-10. Suppose -15 = -u*c + 100. What is the remainder when 44 is divided by c?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*v - 3*t = 57, 2*v + 9 = 3*t + 49. Suppose 3*u = 5*u - p + 29, -u + p - v = 0. Does 17 divide ((-85)\/(-15))\/((-1)\/u)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is 2100 + -13111?\nAnswer: -11011","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6 = -4*a - 2*a. Let j(v) = 529*v - 10. Let g be j(a). Let u = g + 821. What is the hundreds digit of u?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -1 - 7*p**2 + 3*p**3 + 4*p**2 - 3*p + 3 in the form z*p**3 + w*p**2 + x*p + h and give w.\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 50369.51cm in meters?\nAnswer: 503.6951","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let i be 6*-2*3\/(-12). Let x(t) = 3*t - 36. Let k be x(14). Let b be (k\/(-6))\/((-3)\/9). Solve -5*s + i = 18, a = -s - b for a.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from cmmccc. What is prob of picking 2 m?\nAnswer: 1\/15","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve -40 + 39 = z for z.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is 2\/757 <= -1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: -0.1 * -10.58\nAnswer: 1.058","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -95 + 97. Calculate the greatest common divisor of 9 and t.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g be -3*1 - (2 + (-5)\/1). Suppose -6*w - w + 693 = g. What is the units digit of w?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (-2)\/3 - (-10)\/(-3). Let z = m + 6. Solve 0 = f + 2*r + 1 - z, 4*f + r - 18 = 0 for f.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 15801 is divided by 5256.\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let z(q) = -266*q. Let g(h) = -11*h. Let o(k) = 95*g(k) - 4*z(k). Let n(f) = -5*f**2. Determine n(o(l)).\nAnswer: -1805*l**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -138 - -53. Which is smaller: b or -86?\nAnswer: -86","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 1363588.884 to the nearest ten thousand.\nAnswer: 1360000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 304 + -300. Solve 5*r + 3*m + 21 = 3, -7 = r + p*m for r.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*p**2\/5 - 1556*p\/5 + 358902.\nAnswer: -2*(p - 635)*(p + 1413)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let d(g) = -g**3 - 5*g**2 + 7*g - 6. Let c be d(-6). Let z be 9*(-4)\/(16\/c). Suppose 3*u + 76 = 4*o, -73 = -5*o + 5*u + z. What are the prime factors of o?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 5090.5701 minutes in weeks?\nAnswer: 0.505016875","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let v(u) be the second derivative of -445*u**4\/4 + 1330*u**3\/3 + 10*u**2 - 3482*u. Factor v(p).\nAnswer: -5*(p - 2)*(267*p + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 47*p + 10*p**3 - 90*p + 43*p.\nAnswer: 10*p**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {s: 2, w: 4, i: 1, j: 2, e: 5, p: 1}. What is prob of sequence piwe?\nAnswer: 1\/1638","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: -7 + (2 - 1) - (-8164 + 8126)\nAnswer: 32","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -53*s = 65*s. Solve -5*b = -5*i - 50, s = -4*b + 5*i - 2*i + 35 for b.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(r) be the third derivative of -2*r**7\/105 - 17*r**6\/15 - 128*r**5\/5 - 767*r**4\/3 - 2366*r**3\/3 - 38*r**2 + 12. Factor s(u).\nAnswer: -4*(u + 1)*(u + 7)*(u + 13)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 2671 to the nearest integer?\nAnswer: 52","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 2 - -6 - 6 - 7 - -1?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let z(r) = 3*r**3 - 242*r**2 - 70*r - 766. Give z(81).\nAnswer: 125","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 27103 + -26317. What is the highest common divisor of 204 and v?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -336 = -2*k + n + 1233, 4*k - 3141 = -n. What is the hundreds digit of k?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of 2, -6, -18, -34, -54, -78?\n\"Answer: -2*s**2 - 2*s + 6","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (-8 + 11)\/(2\/18). Let v = -25 + w. Solve -d + 9 = -3*o, 3*o + 0*d = -v*d for o.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_test"},"subset":"dm_maths"} +{"text":"Question: What is 280863.41233 + -0.02?\nAnswer: 280863.39233","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is 5 + -45?\nAnswer: -40","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let x(s) = -2*s**3 + 46*s**2 - 133*s - 630. What is x(7)?\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -288 - -287.8. Which is greater: d or -20\/9?\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 7 a factor of (28\/3)\/((-14)\/(-21))?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -18c6 (base 13) in base 10?\nAnswer: -3711","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 41*m**5 + 79*m**3 - 7*m**2 + 409*m?\nAnswer: 2460*m**2 + 474","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of 743, 1487, 2231, 2975, 3719, 4463?\n\"Answer: 744*v - 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -1.1 + 1. Let d = 26151 - 26146. What is the closest to b in -3, d, -0.34, 1?\nAnswer: -0.34","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 551 - 302. What is the tens digit of f?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put together 160085352306 and -0.06.\nAnswer: 160085352305.94","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in -2, -370, 0.1, 0.747, 0?\nAnswer: 0.747","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (2\/4)\/(12\/(-168)).\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 321 minutes after 9:28 AM?\nAnswer: 2:49 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 286 minutes after 1:47 PM?\nAnswer: 6:33 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth smallest value in 0.3, -61\/3, -3\/5, 0.1, 4, 0.2, -9?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 0.0236 and -0.1?\nAnswer: -0.00236","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 15\/(-3)*-1 - 59\/13?\nAnswer: 6\/13","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let u be 2\/((-8)\/(-3732)) + 0. Let v be -1 + (-1 + 0)\/(40\/(-120)). Suppose 5*n - v*n - u = 0. What is the tens digit of n?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many years are there in twenty-seven quarters of a century?\nAnswer: 675","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 11 in 0.5, 4, -7, 956?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred millions digit of 777452733?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (4*sqrt(18)*-4)\/(-1*sqrt(81) + sqrt(9)).\nAnswer: 8*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is fourty-four fifths of a kilometer in meters?\nAnswer: 8800","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve -553 + 1945 = 2486*f - 2438*f for f.\nAnswer: 29","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*t - 9*q + 1107 = 1094, -3*t - 2 = q for t.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of 5149980, 10299948, 15449904, 20599842, 25749756?\n\"Answer: -r**3 + 5149975*r + 6","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (2\/(-8))\/((-9)\/(-36)). Let m(v) = v**2 - 1. Let r be m(y). Suppose 9*w - 14*w - 5 = r. Sort -4, w, 4 in decreasing order.\nAnswer: 4, w, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 348946 and 130.\nAnswer: 1744730","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 33322021 (base 4) in base 3?\nAnswer: 10022101101","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let i(h) = 2*h. Let u = -23 - -26. Suppose z = u*z - 896. Let o(n) = -z - 2*n + 448. Give i(o(f)).\nAnswer: -4*f","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*n + 373 = -2*b + 37, 0 = 4*b. Suppose 12 = 12*x + n. Let g(v) = 6*v**2 + v**3 + 0 + 3 + v**2 + 8*v. Calculate g(x).\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(152)*-1*6)\/(sqrt(8) + sqrt(8) + sqrt(8) + (sqrt(72)*-1)\/sqrt(9)).\nAnswer: -3*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 27 - 11. Suppose 5*u - 5*v = -0*u + 20, -4*u + 12 = -2*v. Suppose -u*b = 3*g - 22, 3 + 1 = g - b. What is the remainder when x is divided by g?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(x) = 60209*x + 361258. Determine a(-6).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Expand 35*j**4 - 2189*j**2 + 2189*j**2 + 0*j**4 - 2*j**4 + j**4 + (3*j**2 + 3*j**3 - 3*j**2)*(-4*j + 3*j + 3*j).\nAnswer: 40*j**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 0 - 10*s**3 + 5 + 6*s**3 - 5.\nAnswer: -4*s**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 449342462*g**4 + 775341248*g**2?\nAnswer: 10784219088*g","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*x**4\/5 + 1396064*x**3\/5 - 324846873396*x**2\/5 + 5040085687697456*x - 780901145336067706\/5.\nAnswer: -2*(x - 232667)**3*(x - 31)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: -14 (base 6) to base 8\nAnswer: -12","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Express 7 - 53*j - 2 + 675*j - 5*j as t*j + g and give t.\nAnswer: 617","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: How many micrometers are there in 427.8257mm?\nAnswer: 427825.7","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is -11 - -11320330?\nAnswer: 11320313","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_test"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in a**2 - 2321*a**3 - 2*a**2 + 2679*a**3 + 2*a**2.\nAnswer: 358*a**3 + a**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1, 5, -22.\nAnswer: -22, -1, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*w + 26 - 1 = -4*o, o - 5*w = 0. What is the second smallest value in o, 0, 0.2?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*f**5 - 24*f**4 - 64*f**3.\nAnswer: -2*f**3*(f + 4)*(f + 8)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let a(x) = -2*x - 11. Let y be a(-8). Suppose -5 - 15 = y*b. Is 91\/(-4)*(b + 0) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -195 - 974 = -7*b. Calculate the remainder when b is divided by 57.\nAnswer: 53","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) 4\/9 (b) 32.1 (c) -1\/7 (d) 1183\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 171 + -37. List the prime factors of n.\nAnswer: 2, 67","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*a + 29 - 2 = 0. Let t = a - -3. Suppose l = -0*l + 4, t = 4*m - l. What is the remainder when 11 is divided by m?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -2\/3? (a) 2\/3 (b) 59.29 (c) 315 (d) 0.4\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is 209 a factor of 135251621?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8 = -3*q - 20, 2*p + 52 = 4*q. Let o = p - -70. Is 18 a factor of o?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -1 - (4 + (0 - 2))?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -18*k + 85 = -167. Solve -k*q - 66 = -10 for q.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -1 - 5. Let c be (-4 + (-72)\/(-20))*5. What is the units digit of -3 + 2 - c - a?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(t) = 8*t + 66. Determine n(-8).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let q(d) = -10586*d**3 - d + 2. Is q(-1) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out 1.4 * 0.2.\nAnswer: 0.28","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 e and 1 m when three letters picked without replacement from lelmrereemmem?\nAnswer: 20\/143","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-6*q**2 - 3*q**2 + 3*q**2)*(2*q + 2*q - 5*q)*(0 + 4 - 2)*(-3 + 3 - 2).\nAnswer: -24*q**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of 43, 43, 47, 55, 67?\n\"Answer: 2*i**2 - 6*i + 47","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let l(f) = -f + 9. Let u be (-1)\/4 - 99\/36. Let p(j) = 2*j**2 + 3*j - 4. Let d be p(u). Let n be l(d). Solve 5*v + 3*m = -30, -2*v + n*m + 14 = -0*v for v.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sum 1837 and -605870991.\nAnswer: -605869154","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from ffkkn. What is prob of sequence nk?\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 3228248970.\nAnswer: 2, 3, 5, 29, 503, 2459","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the eighth root of 5760798 to the nearest integer?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is 2091796363 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Divide -5445 by 5.\nAnswer: -1089","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (-7)\/((-63)\/2) + 64\/(-288). Solve k = x - 2*s - 1, 384*s = 2*x + 381*s - 1 for x.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -l + 16 = l. Calculate the least common multiple of 11 and l.\nAnswer: 88","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 82 or 146?\nAnswer: 82","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Sum -13737190 and -0.016096.\nAnswer: -13737190.016096","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -9.4 - -0.4. Let o = f + 13. Which is the biggest value? (a) 1\/2 (b) -0.5 (c) o\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s be -4 + (-13)\/78 + 5\/(-6). What is the fourth biggest value in 5, 2, -32, s?\nAnswer: -32","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 64964.1352 rounded to the nearest ten?\nAnswer: 64960","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is (382\/10)\/(9\/45) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(x) = -x**2 + 4*x + 7. What is f(7)?\nAnswer: -14","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*u = -4, 5*u + 13 = 2*b + 2*b. Suppose -2*a - b = -4*l - 6, 0 = 3*a - 3*l - 6. Solve 0 = a*s - 0*s - 8 for s.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(i) = -60*i**3 + 302*i**2 - 15*i + 27. Let h be w(5). Factor h - 3\/4*k - 1\/8*k**2.\nAnswer: -(k - 2)*(k + 8)\/8","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -46, -96, -160, -244, -354?\nAnswer: -496","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 12*x - 18*x + 12 for x.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Work out -26.51 * -1.2.\nAnswer: 31.812","meta":{"dup_signals":{},"source":"arithmetic__mul_test"},"subset":"dm_maths"} +{"text":"Question: What is next in -9296, -8863, -8430, -7997, -7564, -7131?\nAnswer: -6698","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 2080*f**2 + 3*f + 1285.\nAnswer: 4160","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is 317314343 - 1?\nAnswer: 317314342","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 815328 and 304?\nAnswer: 815328","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 3 + 160433*h - 81147*h - 3 - 79289*h.\nAnswer: -3*h","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let a(b) = -11*b + 1. Let o(c) = -55384*c + 4945. Determine -4945*a(z) + o(z).\nAnswer: -989*z","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: -28681*122\nAnswer: -3499082","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let k(s) = 117*s**3 + 2*s**2 - 2*s + 1. Let u be k(1). Let v be (-5)\/((-5)\/u) - -3. Is -5 + v - (1 - 4) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(m) = -8*m - 54. Let r be w(-7). Let q be r\/(-14) + 5093\/77. Let x = q + -11. What is the highest common factor of 22 and x?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is z in -2*z**2\/9 - 81842*z\/3 + 409260 = 0?\nAnswer: -122778, 15","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 9458.\nAnswer: 2, 4729","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (0*(-3)\/(-6))\/2. Let b(q) be the second derivative of -1\/30*q**4 + 2*q + 0*q**2 + a*q**3 + 0. Suppose b(g) = 0. Calculate g.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(h) = 3*h. Let l(v) = -v**2 - 1810564*v + 3. What is l(k(p))?\nAnswer: -9*p**2 - 5431692*p + 3","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (152\/(-16) - -9) + -2?\nAnswer: -5\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 10860550*n**2 - 9577481.\nAnswer: 21721100*n","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 3 in 130, 1\/5, -1, 41\/4, -1\/3?\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -7*s + 8*s. Factor s + 1\/4*w**5 - 1\/2*w**2 + 1\/2*w**4 - 1\/4*w + 0*w**3.\nAnswer: w*(w - 1)*(w + 1)**3\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(b) = -16*b - 1582. Calculate a(-81).\nAnswer: -286","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -92*m**3*o**3*z**2 + 6*m**3*z**2 - 4*m*o**3*z**3 - 5*m*o*z + m*z**3 + o**2 wrt o?\nAnswer: -552*m**3*z**2 - 24*m*z**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*j - 520 = 1262. Suppose -871 = -5*b + j. Is b a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 8.142059 kilometers to nanometers.\nAnswer: 8142059000000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-6506 - 10*t + 6506)*(0 - 2*t + 0) to the form d*t + w*t**2 + n and give w.\nAnswer: 20","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 13142 is divided by 39.\nAnswer: 38","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.0200134 to four decimal places.\nAnswer: 0.02","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is -575673 smaller than -575669?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is -51226 + 60?\nAnswer: -51136","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -0.2 and 21.7977?\nAnswer: -4.35954","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*a**5\/8 - 15*a**4\/2 + 681*a**3\/8 - 63*a**2\/4 - 1242*a + 2268 = 0. What is a?\nAnswer: -28, -4, 3, 6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 210 and 14?\nAnswer: 210","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of -21761, -43630, -65605, -87680, -109849, -132106, -154445?\n\"Answer: q**3 - 59*q**2 - 21699*q - 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -2.53 + 2. Let u = -0.5 - c. Round u to 1 decimal place.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(b) = -9*b**3 - 4*b**2 - 4*b - 3. Let h be v(-4). Let a(i) = -5*i + 46. Let m be a(8). What is the remainder when (m\/(-10))\/((-7)\/h) is divided by 12?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose i = 5*i. Suppose 3*k - 27 = -i*k. What is the remainder when k is divided by 3?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m be ((-3)\/2 - -1)*58. Let v(w) = -2*w + 13. Let c be v(-12). Let r = m + c. Calculate the lowest common multiple of 3 and r.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(m) = -4*m + 0*m + 5*m - 6. Let b(i) = -1. Let f(c) = -1. Let p(x) = 2*b(x) - f(x). Determine -g(s) + 3*p(s).\nAnswer: -s + 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is 2 - 58dd6?\nAnswer: -58dd4","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 7*30.\nAnswer: 210","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Sort 5, 0, 4, -179, -7, -5.\nAnswer: -179, -7, -5, 0, 4, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let b(f) = -f - 4. Let j be b(-6). Suppose -j*q + 28 = 2*q. Suppose 4*x = -x, -2*x = n - q. Calculate the remainder when 13 is divided by n.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 i and 1 h when three letters picked without replacement from {v: 2, s: 1, h: 3, i: 4, b: 1}.\nAnswer: 6\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve 701*f - 356*f - 369*f = 96 for f.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 2*((-2 + sqrt(1539) + sqrt(1539) - sqrt(1539))**2 + 5) - (sqrt(76)*1*-3)\/(1*sqrt(100)).\nAnswer: -357*sqrt(19)\/5 + 3096","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is 20474 a multiple of 29?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 131608626 to the power of 1\/2, to the nearest integer?\nAnswer: 11472","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (4\/(-8))\/((-4)\/16). Is 4 a factor of 721\/28 + f\/8?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:53 PM and 6:44 PM?\nAnswer: 171","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is o in -13*o**5\/7 + 2927*o**4\/7 - 411*o**3\/7 - 8755*o**2\/7 - 4504*o\/7 + 900\/7 = 0?\nAnswer: -1, 2\/13, 2, 225","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 12 + 16*v - v - 10 wrt v.\nAnswer: 15","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) 2 (b) -0.7 (c) 14 (d) 1731 (e) -0.2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let x(i) = -1658*i - 24942. Determine x(-15).\nAnswer: -72","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: -16 - (-6 + 1 + -1) - (-2 + 32)\nAnswer: -40","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 144 - 140. Suppose -l*z - 40 = -b, -3*b + 8*b - 2*z = 146. Sort b, 4, 3.\nAnswer: 3, 4, b","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is -1101011 - 110011010100001011100011?\nAnswer: -110011010100001101001110","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Divide 2 by 1127.\nAnswer: 2\/1127","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -838, -3094, -6854, -12118, -18886, -27158, -36934?\nAnswer: -48214","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:49 PM and 4:24 PM?\nAnswer: 155","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Round 13.79217 to 0 decimal places.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when ((-4)\/(-3))\/(2\/123) is divided by 29.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (2*-2*sqrt(2268))\/((1*sqrt(225) - sqrt(225)) + sqrt(27)\/sqrt(27)).\nAnswer: -72*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Put 2, -3973, -1, -2, -34 in increasing order.\nAnswer: -3973, -34, -2, -1, 2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: -2 - (3 - 5) - -1 - -3\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 2.4 - 0.4. Let w = 11.83 + -9.817. Let o = z - w. What is o rounded to two decimal places?\nAnswer: -0.01","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find p such that -4*p**2 + 128*p - 348 = 0.\nAnswer: 3, 29","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:34 AM and 5:13 AM?\nAnswer: 159","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Do -1 and -1\/603 have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -1325 + 7513. What is the tens digit of f?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_test"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(931) + sqrt(931)*-2*5)**2 - (-5*2*sqrt(931) + sqrt(931))**2)*3.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 158 minutes after 2:03 PM?\nAnswer: 4:41 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -7 in -3\/5, -28970, 5, -4?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -17.4 - -17. Let l = -1.7 + -5.3. Which is the smallest value? (a) l (b) w (c) -2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of 426, 932, 1518, 2178, 2906?\n\"Answer: -n**3 + 46*n**2 + 375*n + 6","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 4 r when four letters picked without replacement from {r: 5, n: 13}?\nAnswer: 1\/612","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve -162*r**5\/5 + 144*r**4 + 2134*r**3\/5 - 3964*r**2\/5 + 1416*r\/5 - 144\/5 = 0.\nAnswer: -3, 2\/9, 1, 6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 18 + f - 32 + 17 + 7.\nAnswer: f + 10","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -96 - -98. Sort -8, s, -3\/7, -1 in decreasing order.\nAnswer: s, -3\/7, -1, -8","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(z) = 39*z**2 - 1355*z. Determine i(38).\nAnswer: 4826","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let u(r) = -2*r**3 - 681*r**2 + 346*r + 1725. What is u(-341)?\nAnswer: 20","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is 4561 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 3 g when three letters picked without replacement from {g: 4}?\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from arrwrarrw. Give prob of picking 4 r.\nAnswer: 5\/126","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.071288 + 6358?\nAnswer: 6358.071288","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let j(c) = 68*c**2 + 232*c + 123. Determine j(-2).\nAnswer: -69","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 1? (a) 18 (b) -1\/8 (c) 2\/13 (d) 0.2\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 43 - 43.1. Is h < 1\/258?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -547*p - x + 29 = -548*p - 2*x, 5 - 8 = -3*x for p.\nAnswer: -30","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is -5 times -706.847?\nAnswer: 3534.235","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -55 - -56. Solve 5*v = m - 21 for v.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -x**4 + 128*x**3 - 209*x.\nAnswer: -12*x**2 + 768*x","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the eighth root of 7200 to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -19, -35, -49, -61, -71?\nAnswer: -79","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let p(f) be the second derivative of 7*f**5\/120 - f**3 - 5*f. Let l(g) be the second derivative of p(g). Let u(v) = v - 2*v + 3*v. Give u(l(m)).\nAnswer: 14*m","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Convert 8.85815ml to litres.\nAnswer: 0.00885815","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is 647 - -3?\nAnswer: 650","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -165*a**2 + 218*a**2 + a + 281*a**2 + 2*a - 4*a.\nAnswer: 334*a**2 - a","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -8*a + 5*a + a - 6*a**3 + 797 - 805 to the form s*a + t + o*a**3 + r*a**2 and give t.\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is -7.8482 rounded to 2 dps?\nAnswer: -7.85","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let g(h) = -38*h**2 - 11*h. Let s(t) = -25*t**2 - 7*t. Calculate 5*g(v) - 8*s(v).\nAnswer: 10*v**2 + v","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let i(v) = -9*v - 28. Let g be i(-4). Which is smaller: 47\/7 or g?\nAnswer: 47\/7","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 264*1 - (-7 + 2)\/1?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth root of 6563857 to the nearest integer?\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 4974816?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -0.3 + -0.8. Let p = 11.1 + d. Let m = -10.0042 + p. Round m to 3 decimal places.\nAnswer: -0.004","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find i, given that -i**2\/2 - 1010*i + 6078 = 0.\nAnswer: -2026, 6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1407 is divided by 130.\nAnswer: 107","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (21 - 25) + 2 + -1?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Express k + 8*k - 9*k - 12*k**2 + 1 as q*k**2 + h + f*k and give h.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let j(n) = -3*n - 7. What is the units digit of j(-9)?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of -156, -312, -468, -624?\n\"Answer: -156*d","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand 0*g**3 + 3*g**3 + g**5 - 5*g**3 + (2 + 3 - 4)*(0*g**3 + 0*g**3 - 2*g**5) + (4*g**3 - 3*g**3 + 0*g**3)*(0*g**2 + 2*g**2 - 4*g**2).\nAnswer: -3*g**5 - 2*g**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 5925 to the power of 1\/2, to the nearest integer?\nAnswer: 77","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 1? (a) 12\/7 (b) -151 (c) -0.2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 3 - 377*s - 2 + 378*s.\nAnswer: s + 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -8 - (-6 + (2 - 2))?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: 12\/30 + (-676)\/2240 + (-360)\/1260\nAnswer: -3\/16","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is -5 + 5589?\nAnswer: 5584","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve -239*m - 6700 = 431*m for m.\nAnswer: -10","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 z when two letters picked without replacement from zzzzzzzzzz.\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose f + 41 = l, 4*l - 196 = -l - 4*f. Calculate the greatest common divisor of 140 and l.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: ((-3157)\/35)\/(-11) + (-8 - -7) + -5\nAnswer: 11\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(u) = -2*u**2 + 7*u + 225. Let p be (-16 - -1)*1 + -50 + 56. Let o be k(p). Let n = 1 - -5. Solve o*t = -3*t + n for t.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Are 33861 and 6\/73 nonequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -77*x = -73*x, -10 = -w - 3*x. Let a(f) = 21*f**2 + 4*f - 3. Calculate the remainder when a(2) is divided by w.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 38 and 3382.\nAnswer: 3382","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -1 divided by 18.\nAnswer: -1\/18","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 105027?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is 3001573 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 4666*f - 7394*f + 338272 for f.\nAnswer: 124","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let n be -14710008 + -1 + -29 + 38. Round n to the nearest 1000000.\nAnswer: -15000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(z) be the third derivative of -1\/420*z**6 + 1\/84*z**4 + 0*z**5 + 0*z**3 + 0*z + 0 + 12*z**2. Suppose y(p) = 0. Calculate p.\nAnswer: -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 z when two letters picked without replacement from {z: 2, n: 10}?\nAnswer: 1\/66","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -1483 + 2853. What is the first derivative of 6 + 4 - p*m + 2 + 1574*m wrt m?\nAnswer: 204","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -l - 5*k - 6 = l, -2*k = -4*l + 12 for l.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 155, 322, 493, 668, 847, 1030, 1217?\nAnswer: 1408","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -2*m**3 - 254*m**2 + 592 wrt m?\nAnswer: -6*m**2 - 508*m","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -234\/4685 or -18?\nAnswer: -18","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let f(u) = -u**3 - u**2 - 2*u + 6. Let z = -3 - 7. Let v = z + 14. Calculate the smallest common multiple of v and f(0).\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*k + 4383 + 8805 = 0. Let t = k + -6703. Round t to the nearest 100000.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -11990\/171 or -71?\nAnswer: -11990\/171","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: -128337891 - -7.94\nAnswer: -128337883.06","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 14891 is divided by 98.\nAnswer: 93","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2\/7, 7\/16, -1.\nAnswer: -1, 2\/7, 7\/16","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 2980783 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: Does 13 divide 148375?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 51.5 - 52. Is u at least 1\/2?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of -338, -339, -340?\n\"Answer: -h - 337","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -2200 + 4403. Is y a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j be 2\/(-4)*(-1 + 1). Let w(l) be the second derivative of l**4\/12 - l**3\/6 + 9*l**2\/2 + 3*l. Calculate the remainder when 16 is divided by w(j).\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of -9649, -19277, -28905?\n\"Answer: -9628*y - 21","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3 - 3 + 7)*(-5*u + u + 3*u)*(2*u**2 + 1 - u + 11*u - 16*u).\nAnswer: -14*u**3 + 42*u**2 - 7*u","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve -19*q + 18*q - 10*o = 30, 4*o = -3*q - 12 for q.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*s - 39*s + 3744. What is the smallest common multiple of s and 20?\nAnswer: 520","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in one quarter of a litre?\nAnswer: 250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let s(u) = u**3 + 19*u**2 + 700*u + 10309. Determine s(-16).\nAnswer: -123","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 437404 and 198.\nAnswer: 3936636","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in 2, 0, 20?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: How many days are there in ten sevenths of a week?\nAnswer: 10","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the ninth root of 431771 to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let p(o) = 17*o - 71. Calculate p(4).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 0.0351 + -6.5851. Let g = t - -3.75. Is g at least as big as -2\/25?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 3109 - 2659. Calculate the greatest common divisor of 70 and o.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 o and 1 f when two letters picked without replacement from {y: 2, b: 1, f: 1, o: 1}.\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 4\/3*(-585)\/60.\nAnswer: -13","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2 + 7 - 4 + 2 + 3 - 3 + (2 - 2 - 2)*(2 - 6 + 3) + 1 - 1 - 4)*(2*s**2 + 3*s**2 - s**2).\nAnswer: 4*s**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -39 - -38. What is the biggest value in 1\/7, -4\/3, 0, n?\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(v) = 3*v. Let f be q(1). Factor 0*a**2 - 72*a**5 + 69*a**5 - f*a + 0*a**2 + 6*a**3.\nAnswer: -3*a*(a - 1)**2*(a + 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 518 < 6732\/13?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Round 23070 to the nearest ten thousand.\nAnswer: 20000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is (-5179 + (0 - -2))\/(-23 - 5 - -27) a multiple of 7?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(v) = v**3 + v**2 - 6*v + 1. Let w(i) = i**3 - 4*i**2 + 40*i + 5. What is -4*p(n) - w(n)?\nAnswer: -5*n**3 - 16*n - 9","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -243*u**2 + 6*u - 2?\nAnswer: -486","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 3215180049 to the nearest integer?\nAnswer: 1476","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: ((-5)\/(-6))\/((-1086722)\/6552 + 166)\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) 2\/1091 (b) 0.5 (c) 1\/3 (d) 11689\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Does 18 divide 2\/(-5) - (-1094)\/10?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (5*b**2 - 7*b**2 + 12*b**2)*(-2 - 13 - 1)*(-2*b - 3*b + 6*b).\nAnswer: -160*b**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 7045 to the nearest integer?\nAnswer: 84","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Express 6*l**2 - 17*l**2 + l**2 as b + j*l + r*l**2 and give r.\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is (-13 + 0 - (2 + 3)) + 2?\nAnswer: -16","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*d**5\/3 - 4*d**4\/3 + 8*d**3 - 8*d**2\/3 - 20*d\/3 + 4 = 0 for d.\nAnswer: -3, -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 446 minutes after 3:21 PM?\nAnswer: 10:47 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*f + 16 = -f. Let i(d) = 3*d**2 + 11*d + 10. Let r be i(f). Find the second derivative of -h**4 - 28*h + r*h + 13*h - 5*h**4 wrt h.\nAnswer: -72*h**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((z**(3\/14)\/(z*z**21))**36)**29)**(-27) assuming z is positive.\nAnswer: z**(4298670\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*q + 6 = -0*q for q.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 x and 2 f when three letters picked without replacement from infoxfxxfxoxinxn.\nAnswer: 9\/280","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of 4718, 9996, 15274, 20552, 25830?\n\"Answer: 5278*b - 560","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: How many kilograms are there in 0.258562mg?\nAnswer: 0.000000258562","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ebeh when four letters picked without replacement from {b: 7, h: 2, e: 2}?\nAnswer: 7\/1980","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth root of 4311 to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Factor 3*z**4\/2 + 15*z**3 + 54*z**2 + 84*z + 48.\nAnswer: 3*(z + 2)**3*(z + 4)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 6 + -69. Let q = b - 32. What is q rounded to the nearest 10?\nAnswer: -100","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 7935824*g*z + 9752960*z wrt g.\nAnswer: 7935824*z","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 1518340?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth smallest value? (a) -18 (b) -0.4 (c) 1\/6 (d) 2 (e) -3\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let o(l) = 4*l - 9. Let r be o(3). Solve 4*x - 1 = r for x.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*p - p - 2 = 2*t, 0 = -3*t - 5*p - 16. Let b be (-6)\/t*2\/(-8). What is the nearest to -1 in 0.4, -2\/5, b?\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -12*p = -8*p for p.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: 4 divided by -67119217\nAnswer: -4\/67119217","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-7 + 15 - 15) + 5 - -8.\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Put 1\/23, 134\/41, 14 in decreasing order.\nAnswer: 14, 134\/41, 1\/23","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 67844 + -67841. Let k = 12 - 6. Let z = k + -5.4. What is the second biggest value in -2, z, 1\/4, d?\nAnswer: z","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 39 is divided by -8*(25\/2)\/(-5).\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 121381 is divided by 40451?\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -40*x = -76*x - 72. Sort 2, x, 0, 4, 9.\nAnswer: x, 0, 2, 4, 9","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 264.\nAnswer: 2, 3, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 79790833 to the nearest integer?\nAnswer: 8933","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -65 divided by 2763241.\nAnswer: -5\/212557","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose l + 24*x = 29*x + 3645, 10967 = 3*l + x. What is the tens digit of l?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(l) = 6*l**2. Let z be n(-2). Let x be 8\/z + 8\/(-6). Let q be 6100000 - ((-2)\/2 - x). Round q to the nearest 1000000.\nAnswer: 6000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(o) = 3*o - 48. Let x be w(16). Solve 5*q + 0*q + k + 29 = x, -5*q + 5*k = 5 for q.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:20 AM and 3:23 PM?\nAnswer: 423","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 3425906916?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let r(z) = -z**3 - z**2 - 5*z + 331. What are the prime factors of r(0)?\nAnswer: 331","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(f) = f**3 + 71*f**2 - 29*f - 131. What is the hundreds digit of i(-71)?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 2 (base 8) to base 3.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let r(f) = -9*f - 2. Let y be r(-1). Find the common denominator of -50\/9 and -2 + (308\/(-24))\/y.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (-496)\/(-372) - 430\/(-6). Solve 11*a - g = -29 for a.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -11 by -245328.\nAnswer: 11\/245328","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 3*(-688)\/1080*(-9)\/(-12) and -11\/105.\nAnswer: 210","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(h) be the second derivative of h**7\/126 + h**6\/18 + 7*h**5\/60 - h**4\/36 - 4*h**3\/9 - 2*h**2\/3 + 8*h + 2. Solve a(t) = 0.\nAnswer: -2, -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 0 - (2 + -2 + (1 - 1))?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 136\/99 or 2?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of -20, -21, -22, -23, -24?\n\"Answer: -r - 19","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: 1 times -1867244\nAnswer: -1867244","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-9)\/(6480\/150))\/(-3*(-9)\/108)?\nAnswer: -5\/6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let y(c) = -c**2 - c + 1. Let o(m) = 6*m**2 - 2*m - 2. Suppose 0 = -7*q + 6*q - 1. Let w(a) = q*o(a) - 2*y(a). Let w(t) = 0. What is t?\nAnswer: 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is 3416c51 - -1?\nAnswer: 3416c52","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_test"},"subset":"dm_maths"} +{"text":"Question: Sort -15, 472, 4, -4, -5 in increasing order.\nAnswer: -15, -5, -4, 4, 472","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 460 - 387 + 11*c + 437 to x + b*c and give b.\nAnswer: 11","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 t, 1 c, and 1 k when three letters picked without replacement from {t: 5, k: 1, s: 7, c: 2, a: 1}.\nAnswer: 1\/56","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -24*t + 10303 - 10183 for t.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: How many milliseconds are there in 2\/15 of a minute?\nAnswer: 8000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 25*((-27417)\/(-65))\/(-111)?\nAnswer: -95","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 21 - 42. Which is the closest to 1? (a) 4 (b) n (c) 3 (d) 1\/3\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*c + 4 - 30 = -q, -3*q + 2*c + 38 = 0. Suppose 14*z - q*z + 8 = 0. Let s(i) = -i**2 - 2*i - 2. Let g be s(z). Put g, 2, 0 in increasing order.\nAnswer: g, 0, 2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -4 - (-39 + 46 - 30)?\nAnswer: 19","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 11185292711 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Put -4, 3, -14, -3, -29, -2 in decreasing order.\nAnswer: 3, -2, -3, -4, -14, -29","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0, -74\/5, -2 in descending order.\nAnswer: 0, -2, -74\/5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 3851?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-147)\/1274*(3294\/567)\/(-61).\nAnswer: 1\/91","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: 98+40.27\nAnswer: 138.27","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((r\/r**9*r*r**(-4))\/((r*r**(2\/23))\/(r*r**(8\/5)*r)))\/((r\/(r*r**(-1\/2)\/r))**(-1\/3)*r**(-1\/2)\/r**(-2\/21)) assuming r is positive.\nAnswer: r**(-18311\/2415)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let q be 1353\/165 - 4\/(-5). Solve -q*t + 8*t - 2 = 0 for t.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -10*g = -14*g + 8. Suppose -4*s - g*k + 3*k = -100, 3*s + k = 75. What is the third derivative of 0*h - 11*h**2 + 32*h**3 + 0*h - s*h**3 wrt h?\nAnswer: 42","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -1579 - -4735\/3. Which is the second biggest value? (a) 5 (b) -4 (c) i (d) 1.94\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(n) = 2*n + 1. Let u be c(-1). Let o(y) = -5*y**3 + y**2 + y. Let p be o(u). Solve -p*t - 6*k + k - 15 = 0, -2*k + 1 = -5*t for t.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v be 4\/(-24) + (-124)\/(-24). Solve -b + 0 = -5, v*j + 4*b = 30 for j.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(h) = -h**2 - 25*h + 1. Determine c(-25).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 172112.\nAnswer: 2, 31, 347","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 4 + -6 + 16 + (5 - (5 - -4))?\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let o(r) = -2*r. Let d(w) = -7*w**2 - 5. Let u(x) = 7*x**2 - 10 + x**2 + 16. Let c(m) = 6*d(m) + 5*u(m). What is c(o(i))?\nAnswer: -8*i**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Convert 0.8006702ml to litres.\nAnswer: 0.0008006702","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 4 divided by 736.\nAnswer: 1\/184","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -f - 62 + 65, -5*f + 168 = x. Calculate the greatest common divisor of 17 and x.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from yzyzlyycuuyzyrucyzu. Give prob of sequence lzc.\nAnswer: 4\/2907","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Factor -3\/7*h**4 + 11\/7*h**2 + 0 + 1\/7*h**5 - 6\/7*h - 3\/7*h**3.\nAnswer: h*(h - 3)*(h - 1)**2*(h + 2)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -314 + 404. Suppose -354 + z = -12*c. Calculate the highest common divisor of c and 902.\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -153733*n**4 + 530466*n**2 wrt n?\nAnswer: -3689592*n","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let w(u) = 187*u + 5248. Let m be w(-27). What is the highest common divisor of 14129 and m?\nAnswer: 199","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 59 minutes before 8:43 AM?\nAnswer: 7:44 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -1 + 3. Let d = -9 + 13. Solve -d*x + c = -2 for x.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 299063553?\nAnswer: 3, 19, 41, 73, 1753","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Factor -15*b**3 - 54 + 32*b + 33539*b**4 - 33536*b**4 + 31*b + 3*b**2.\nAnswer: 3*(b - 3)**2*(b - 1)*(b + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -13 + 270. Calculate the remainder when n is divided by 7.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -3881 (base 14) to base 7.\nAnswer: -40621","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from dcddgddcgdddcc. What is prob of picking 1 g and 1 c?\nAnswer: 8\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve -29 = 3*j + 4*d, -9*j + 8*j + 4*d = -17 for j.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let l(w) = w**3 + w**2 + 3. Let m be l(0). Let -3*a**3 - 5 - 3*a - 9*a**2 - 1 - 6*a + m = 0. What is a?\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1.0475699 + 2195?\nAnswer: 2196.0475699","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_test"},"subset":"dm_maths"} +{"text":"Question: Let j = -916322 + 1515007. Is j a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of 27961, 27302, 26643?\n\"Answer: -659*f + 28620","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 55 + 10. Let q = -6 - 272. Let l = 342 + q. Do l and z have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 24 - 25. Let y = -130\/927 + 3\/103. Which is the biggest value? (a) y (b) x (c) 5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 641420 and 4.\nAnswer: 641420","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in -2, -5965029, -1, -1\/5?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 18 = -2*l + 4*m, 6*l - 7*l = 5*m - 5. Let s(i) = -5*i + 11. Let j(g) = 2*g - 6. Determine l*j(u) - 3*s(u).\nAnswer: 5*u - 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 14 + -10. Calculate the common denominator of 162\/(-48) - (-1 + -2) and (-274)\/24 - 3\/t.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 1.7? (a) -0.1 (b) -0.4 (c) -3 (d) 1956354\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -29 + 9. Let s be (-41)\/(-5) - (-4)\/q. Suppose 4*n + 3*p = 67, 2*n - 3 = 3*p + s. Is 13 a factor of n?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.016467 to three dps.\nAnswer: 0.016","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*o = -2*v + 17, -3*o - 5 + 43 = 5*v. Suppose -3*j + v*j = 12, 5*j - 79 = -4*q. Calculate the smallest common multiple of 22 and q.\nAnswer: 176","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 9908 is divided by 1?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -7*b**4 - 874*b**3 - b**2 + 13634?\nAnswer: -168*b - 5244","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (15 - 85 - -42) + 18 + 0 + -112 + -1.\nAnswer: -123","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*y = -5*c + 33, 0 = -y - 0*c + 2*c. Suppose -y*j - 2 = -7*j. Suppose -j*b + 1560739 = -1039261. What is b rounded to the nearest one million?\nAnswer: 1000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 2\/3? (a) 0.8 (b) 1067\/12 (c) 5 (d) 9 (e) -2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 4758 and 156.\nAnswer: 78","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is -83544 - -3?\nAnswer: -83541","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 43, 365, 1245, 2965, 5807, 10053?\nAnswer: 15985","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let u(y) = y**2 + 4*y - 9. Calculate u(-5).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 36 and 550062.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let g(f) be the second derivative of 0*f**2 - 1\/48*f**4 + 1\/24*f**6 + 0*f**3 + 1\/80*f**5 + 0 + 8*f + 1\/56*f**7. Find u such that g(u) = 0.\nAnswer: -1, 0, 1\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*u = -2*o - 205 + 219, 4*u - 5*o + 23 = 0 for u.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Expand -104*q - 2 + 5*q**2 + 104*q + (-q + 3*q - 3*q)*(-q - q + 0*q).\nAnswer: 7*q**2 - 2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2 = 3*u - 2*u, 3*o + 3*u = -21. What is the tens digit of (-6)\/(-2) - 2 - o?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -1080789 - -0.3.\nAnswer: -1080788.7","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let g(v) = -898*v**2 + 443*v**2 + 451*v**2. Let c = 35 + -28. Let l(t) = 2 + 5 - c - 2*t. Calculate g(l(a)).\nAnswer: -16*a**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 4 + 28077*a - 28077*a + 2*a**2.\nAnswer: 2*a**2 + 4","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*n**2 - 1740*n + 151380 = 0. What is n?\nAnswer: 174","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Does 1121 divide 35921324?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve -333 = 49*b - 235 for b.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let w(h) = 10*h**2 - 7*h + 5. What is w(-2)?\nAnswer: 59","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 302 - 150 - h**2 - 152.\nAnswer: -h**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let x(s) = s**3 - 9*s**2 + 8*s - 11. Give x(8).\nAnswer: -11","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 3391, 3388, 3385, 3382, 3379, 3376?\nAnswer: 3373","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand 5*h**4 - 2*h**4 - 2*h**4 + (26*h - 14*h - 69*h)*(0*h**3 + 5*h**3 - 3*h**3) + (-h**2 - 2*h**2 + 2*h**2)*(0*h**2 - h**2 + 3*h**2).\nAnswer: -115*h**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 44937 and 63?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 19478?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let m(r) = 7*r**2 - 3*r + 1. Let s be m(-5). Let j = s + -56. Let t be (11 + (-3)\/6*-8)*1. Calculate the highest common divisor of j and t.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Total of 515.236 and 18874.\nAnswer: 19389.236","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -681 + 12942\/19. Let v = 47\/57 - c. Is 2 < v?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (-2*6\/(-28))\/(63\/49 + -1). Which is the biggest value? (a) -1\/567 (b) 1 (c) -2\/5 (d) s\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(d) = 10*d - 3. Determine x(3).\nAnswer: 27","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 3*c - 58*c**2 + 82*c**2 - 24*c**2 - 113*c**2 - 3*c.\nAnswer: -113*c**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-96 + 96 + 6548*c + 6311*c - 348*c)*(-4*c + 2*c + 4*c).\nAnswer: 25022*c**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 2254?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let j(h) be the second derivative of -h**5\/20 - 7*h**4\/12 + h**3\/6 + 2*h**2 + 11*h - 13. Give j(-7).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -q = -3, w + 0*w + 3*q = 41. Calculate the greatest common factor of w and 4.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (f**5 + 0*f**5 - 2*f**5)*(-3 - 1 + 6) + (0*f**4 - 4*f**4 - 2*f**4)*(477 - 3*f - f + 122).\nAnswer: 22*f**5 - 3594*f**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 28 = 2*r - r - 3*j, -3*r = -2*j - 70. Suppose -2*x + 180 = 3*x. Calculate the least common multiple of x and r.\nAnswer: 396","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 106 + -46. Suppose -4*q + y = -2*q. Suppose -5*a = c - 30, -5*a + 6*c + q = 3*c. Solve -2 = -o, -3*x - 5*o + a = -2*x for x.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -k + 2*l - 13874 = l, -41622 = 3*k - l. Let u be k\/(-22) + (2 - 0). Let w = u - 632. Calculate the common denominator of 101\/10 and w.\nAnswer: 110","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -10.0654*0.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 35 and 56.\nAnswer: 280","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is -34\/3 smaller than 2\/13?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -1.6299 + -232.0861. Round c to the nearest 10.\nAnswer: -230","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 11010101 (base 2) to base 13.\nAnswer: 135","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve -7 = -4*g - 23 for g.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -746736 divided by -24.\nAnswer: 31114","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is -248 - c?\nAnswer: -257","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 7 - 7.3. Let i = 0.5 + y. Suppose 5028*k - 4976*k + 104 = 0. What is the second smallest value in i, k, 0.8?\nAnswer: i","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 2 - (-4 + 6 + 3).\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: -6 - (1 + -1 + -3 + -5)\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let j be 1\/(-5) + 160\/50. Let z be (-8060)\/182 + (-2)\/(-21)*j. Let k = z - -179. What is the hundreds digit of k?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (63\/(-532))\/(0 - (-21)\/56). Suppose 2*k = -3*k + 5. Which is bigger: g or k?\nAnswer: k","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*c = 4*l - 209, 0 = 5*l - 5*c - 305. Solve 237 = -l*m - 23*m for m.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -127? (a) 4\/3 (b) -0.0358 (c) 110 (d) 5 (e) -2\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -12*a**2 + 406*a - 16*a**2 - 406*a to q + b*a + k*a**2 and give k.\nAnswer: -28","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (2 + 0)*3\/2. What are the prime factors of -3*14\/(-6) - d?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -46 = -28*g - 4*j + 134, 3*g - 7*g = -8*j - 60 for g.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is 1169314713 a multiple of 21?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let y(u) = -3*u + 39. Let c be y(17). Let h = 10 + c. Let l be (7\/28)\/(h\/(-296)) + 3. What is the greatest common divisor of l and 280?\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1982394478.\nAnswer: 2, 1789, 554051","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 413*t + 77913 = 422*t. Is t composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (u\/(((u\/(u*u\/u**(-4)*u))\/u)\/u)*u*u\/(u*u*(u*(u*u**(-10))\/u*u)\/u))\/(u**(-3\/5)\/(u*u\/((u*u\/(u*u\/u**2*u))\/u)*u*u)) assuming u is positive.\nAnswer: u**(113\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -14426 + 14425.88516. Round c to two decimal places.\nAnswer: -0.11","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 987970 or 987981?\nAnswer: 987970","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: (-4 - 1) + 55 + -56\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 409 divided by 459.\nAnswer: 409\/459","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of -5385990, -5386083, -5386172, -5386257, -5386338, -5386415?\n\"Answer: 2*b**2 - 99*b - 5385893","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from cqdkcdddccc. Give prob of sequence qdk.\nAnswer: 2\/495","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let f(t) = t**2 - 8*t - 4. Give f(4).\nAnswer: -20","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.05 - -133966934852?\nAnswer: 133966934851.95","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -19*q = -259 + 50. Solve -2*w = 5*g + q, 0*w - 5*g + 7 = -4*w for w.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -23 = 8*t + 1 for t.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 110.5 - -2.5. Let w = 112.8 - v. Let x = -0.1 + 1.1. Put 10, 0.4, x, w in increasing order.\nAnswer: w, 0.4, x, 10","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -4.06 + 0.06. Let g(v) = v**3 - 343*v**2 - 2453*v + 1055. Let u be g(350). What is the smallest value in u, 0.02, l, -0.2?\nAnswer: l","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4 = -c, -2*x = -0*x - 4*c + 12. Let b = 150 + -147. What is the third derivative of 3*l**2 - 3*l - x*l**b - 6*l**2 + 3*l wrt l?\nAnswer: -12","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 750 = t - 1098. Let x be (-2)\/(-7) - 864\/t. What is the second biggest value in -2, -4, x?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*m + 3*h = -2*h + 42, -4*m = 4*h - 40. List the prime factors of m.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2*q**2 + 2*q**2 + 5*q**2 - q**2.\nAnswer: 8*q**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Convert 2020721 (base 8) to base 10.\nAnswer: 532945","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let r(u) = -u**3 + 2*u**2 + 3*u + 3. Let p be r(3). Let a be -3*1 + 27\/p. Let c be (a\/4)\/(1\/2). Solve 0 = -c*w + 2*w - 3 for w.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many milliseconds are there in sixty-one halves of a second?\nAnswer: 30500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence hch when three letters picked without replacement from hchh.\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((sqrt(275) + 1)*3 - sqrt(275) - (3*(sqrt(275) - -1*sqrt(275)) + sqrt(275))) + 3)**2.\nAnswer: -300*sqrt(11) + 6911","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is 3396810 > 3396893?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let m(p) be the second derivative of p**3\/6 + p**2\/2 - p. Let h(u) = -u + 0 + 2*u + u**3 + 1. Let v be h(-1). Let i(b) = -b - 2. Calculate v*i(q) - 2*m(q).\nAnswer: -q","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 4\/(-8) + (-150)\/20.\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(b) = -3 - 8*b**2 + b + b**3 - 2 + 0*b**3. Let i be d(8). What are the prime factors of -1 + (-30)\/(-2) - i?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 223 + -200 + 2 + -6.\nAnswer: 19","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 1806091447 to the nearest integer?\nAnswer: 42498","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 k, 1 j, and 1 u when three letters picked without replacement from iquxikj.\nAnswer: 1\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 182602 - 111885. Is h composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (3 + 8 - 1)*(-5*w + 5*w - w) + (26 - 19 - 15)*(0*w - 2*w + 0*w + (-2*w + 0*w + 0*w)*(-1 - 2 + 5) - 2*w + w + 2*w - w - 3 + 3) to c + q*w and give q.\nAnswer: 38","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*u + 0*u = -640. Suppose 0 = 5*o - h - 4*h - u, 0 = -2*o + 3*h + 62. List the prime factors of o.\nAnswer: 2, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(y) = 2*y + 0*y**2 + 2 + 11 - y**2. Suppose -29 = -2*j - 11*l + 16*l, 4*l = -20. Let g(b) = 2*b**2 - 3*b - 14. Let r(v) = j*g(v) + 3*o(v). What is r(0)?\nAnswer: 11","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0 divided by -5270982?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Convert 37937 (base 12) to base 10.\nAnswer: 75643","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let t(p) = 12*p**2 + 35*p. Let a(n) = 11*n**2 + 30*n. Let r(m) = -7*a(m) + 6*t(m). Let u(f) = 2*f + 8. What is r(u(b))?\nAnswer: -20*b**2 - 160*b - 320","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 1505 - 1504.75. Let w = 447.9551 - 448.2. Let q = l + w. What is q rounded to 3 dps?\nAnswer: 0.005","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 32*t = 127437 + 144298 + 26025. What are the prime factors of t?\nAnswer: 5, 1861","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(x) = 264*x - 4936. Determine b(19).\nAnswer: 80","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let w(h) = -52*h + 939. Let i be w(18). Which is the second smallest value? (a) 0.561 (b) i (c) -5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.000033136 to 6 decimal places.\nAnswer: 0.000033","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let o(z) = z**3 + 9*z**2 + 10*z - 1. Let a = -177 + 207. Let m be 42\/(-4) + a\/12. Calculate o(m).\nAnswer: -17","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -4*y**2 - 8*y**3 + 9*y**3 + 7*y - 4*y**2 + 9*y.\nAnswer: y*(y - 4)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 55155 to the nearest integer?\nAnswer: 235","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is 5 a factor of 89530?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Convert -4606449 (base 11) to base 5.\nAnswer: -4030423243","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 784757?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -13*c + 5510 = 25*c. Does 3 divide c?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: 7 * -4\nAnswer: -28","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -2 + 7. Let i = g + -9. Let y = 5 + i. What is the second biggest value in 5, y, -3?\nAnswer: y","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(r) = r**3 - 9*r**2 - 11*r + 12. Let h be t(10). Suppose h = 4*s - 3*s. Factor -4*d - s - 121*d**3 + 4 - 2 + 44*d**2.\nAnswer: -d*(11*d - 2)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 240 = 67*c - 57*c. Solve -4*a + c = -5*f - 1, 5*a = f + 26 for f.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 32092?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 28404130?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 1.2? (a) -5\/3 (b) 1530.1 (c) 14\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let p(j) = -j**4 + j**3 - j**2 - j + 1. Let b(z) = 2*z**4 - 4*z**3 + 12*z**2 + 4*z - 8. Let n(c) = -b(c) - 6*p(c). Factor n(f).\nAnswer: 2*(f - 1)**2*(f + 1)*(2*f + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -8*h - 3*h + 55 for h.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let f(v) = 19*v + 5. Let l(z) = -276*z - 72. What is -72*f(p) - 5*l(p)?\nAnswer: 12*p","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Does 45 divide 267?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 7964445 to the power of 1\/3, to the nearest integer?\nAnswer: 200","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth root of 5740044 to the nearest integer?\nAnswer: 22","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 4088?\nAnswer: 2, 7, 73","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 2100 (base 3) in base 13?\nAnswer: 4b","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-7 - 100*g - 49*g - 107*g)*(71 + 3*g - 71) to the form f*g**2 + a + k*g and give k.\nAnswer: -21","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 2079 divided by 27.\nAnswer: 77","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 73\/20 - 7\/5. Find the common denominator of ((-2)\/4)\/(-4*4\/632) and u.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: 152\/114*(-9)\/(-16)\nAnswer: 3\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -u - 3*a = -12, 6 - 33 = 4*u - 3*a. Suppose -7*n - 16 = -3*n. Is u > n?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from fyfofvyqfyfyyffof. Give prob of picking 1 q and 2 o.\nAnswer: 1\/680","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Factor -8*f**2\/5 - 46*f - 300.\nAnswer: -2*(f + 10)*(4*f + 75)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -35*j + 49*j - 56. Let z(q) = -8*q + 37. Let x be z(j). Let p = -239 - -2149\/9. What is the fourth smallest value in -0.2, -3\/8, x, p?\nAnswer: x","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (2\/7)\/(((-9)\/2)\/((-77)\/22))?\nAnswer: 2\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2554.\nAnswer: 2, 1277","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -78 + 77.7. Which is the closest to v? (a) -2\/9 (b) -0.3 (c) 0.03\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(k) = -13*k - 2. Suppose -11*c + 4 = -7. Let d(t) = -t**2 - t + 2. Let g(o) = c*d(o) + b(o). Solve g(s) = 0.\nAnswer: -14, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 5 + -8. Let z be -5*(-3)\/(i\/(-1)). Suppose z*s - 31 = -3*d, -2*s = -4*d - 5*s + 56. Solve r + l = 4, 1 - d = -3*r + l for r.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -13 + 11. Let f be (i\/(-1) + -2)\/1. Solve 3*q + 0 + 10 = 2*z, -2*z - q + 2 = f for z.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -45630663.8999736 + 45630641. Let y = x - -22.9. What is y rounded to six dps?\nAnswer: 0.000026","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 4831 - 3076. Let u(g) = 2*g - 1755 + r. Let c(t) = -t - 8. Give u(c(n)).\nAnswer: -2*n - 16","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -5 + 7. Let l be (-29)\/(-9) + (-2)\/9. Suppose -24 = -g - l*p, -3*g = 5*p - 12 - 40. Calculate the least common multiple of x and g.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((i\/i**35)\/i)\/i**(-28) assuming i is positive.\nAnswer: i**(-7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-104)\/546*(-1)\/8*3.\nAnswer: 1\/14","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let r(c) = -c**2 + 22*c - 46. What is the remainder when 64 is divided by r(19)?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 2 (base 10) in base 16?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 6260683873 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let j be 61\/(-122)*(1 + 4\/((-28)\/39)). Let -2\/7*x**4 - j*x**3 + 80\/7*x - 12\/7*x**2 - 50\/7 = 0. What is x?\nAnswer: -5, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*d + 3 - 7. Let m(n) = -17 + 0*n**2 - 12*n - 3 - n**d. Calculate the remainder when 19 is divided by m(-9).\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -1215.12 + 1192. Let k = 23.2 + q. Which is the closest to k? (a) -0.2 (b) -1\/7 (c) 5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(y) be the second derivative of -y**5\/240 + 161*y**4\/24 + 215*y**3\/8 + 121*y**2\/3 + y + 105. Factor t(b).\nAnswer: -(b - 968)*(b + 1)**2\/12","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(v) be the second derivative of -1\/3*v**4 + 0*v**2 + 0*v**3 + 0*v**6 + 2\/21*v**7 - 3*v + 0*v**5 + 0. Find the third derivative of x(b) wrt b.\nAnswer: 240*b**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -3899424, -3899419, -3899414, -3899409, -3899404?\nAnswer: -3899399","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -50*o**3 + o - 202 wrt o?\nAnswer: -150*o**2 + 1","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 3a (base 16) in base 15?\nAnswer: 3d","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*q - 28 + 203 = -5*p + 142, 0 = -2*q - 32 for p.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence up when two letters picked without replacement from ihbpauaibibhiubbubii?\nAnswer: 3\/380","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let l(b) = 4*b**3 - b**2 + 2*b - 1. Let z be l(1). Suppose -f = f - z. Suppose 3\/5*h - 2\/5*h**f + 2\/5 - 3\/5*h**3 = 0. Calculate h.\nAnswer: -1, -2\/3, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(y) be the first derivative of -193*y**5\/5 + 41*y**2\/2 + 2*y - 511. Find the second derivative of d(j) wrt j.\nAnswer: -2316*j**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(f) = 2*f + 6. Let t be m(5). Let o be 28\/t - (-2)\/8. What is the remainder when 8 is divided by -3 + 4 - (-8)\/o?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (60\/(-10))\/((-6)\/(-8)).\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Express -4688*v**3 + 48 - 1932*v**3 - 105 + 57 + (-5*v**3 + 3*v**3 + 0*v**3)*(1 - 2 + 2) as i + a*v**3 + o*v + t*v**2 and give a.\nAnswer: -6622","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve -31 = -3*r + 4*i, 0 = -142*r + 133*r + 3*i + 57 for r.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.00032986974 to five dps.\nAnswer: 0.00033","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 1938932542?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 7370656 and 1734?\nAnswer: 578","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 8184641?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2311000037.\nAnswer: 2311000037","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is 195898529 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (1*1*(sqrt(28) + sqrt(7))*3)**2.\nAnswer: 567","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let w(i) = i**3 - 3*i**2 + 2*i - 3. Let t be 44\/(-198) - 382\/(-18). Let o = t - 18. What is w(o)?\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(r) = r**3 + 3*r**2 - 18*r - 12. Let f be z(-6). Let l be 256\/44 - f\/66. Let t be 2\/(-2*(-2)\/l) + 0. Calculate the greatest common divisor of 15 and t.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*s + 2 = 8. Let w(n) = 2*n - 5. Let v be w(4). Solve k + 2*l + 18 = -v*l, -s*k + 3*l = -18 for k.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -119425257*p**3 + 13937717 wrt p?\nAnswer: -358275771*p**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let i(a) = -a**2 + 16*a - 57. Let b be i(6). Sort 4, 2, b in descending order.\nAnswer: 4, b, 2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.524864 to three decimal places.\nAnswer: -0.525","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let y(b) = b**3 + 16*b**2 + 24*b + 13. Let c be y(-13). Let n = 230 - c. Put n, 2, -1, 1 in descending order.\nAnswer: n, 2, 1, -1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -76 at least as big as -84?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 u and 2 i when four letters picked without replacement from {i: 3, r: 15, u: 2}.\nAnswer: 1\/1615","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -10792, -19400, -28008, -36616, -45224?\nAnswer: -53832","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 74667?\nAnswer: 3, 24889","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Subtract -0.2 from -2677006289.\nAnswer: -2677006288.8","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*i - 3 = -2*n, 2*n - 12 = -0*i - 4*i. Let g be 3\/(-2) + (-54)\/(-28). Suppose -8*x + 17*x = 0. Which is the nearest to i? (a) g (b) x (c) 4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -32.6 - -76.4. Let i = b + 11.2. Let p = i - 50. Put 0.4, 3\/5, 1, p in descending order.\nAnswer: p, 1, 3\/5, 0.4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 56 divide 677219256?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*p + 320 = 3*p. Let d(c) be the first derivative of -c**4\/4 - c**3\/3 + 12*c**2 - 14*c + 160. Calculate the remainder when p is divided by d(-6).\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(x) be the first derivative of 58 + 3\/5*x**5 - 3\/2*x**4 + 3*x**2 + 9*x - 4*x**3. Factor t(n).\nAnswer: 3*(n - 3)*(n - 1)*(n + 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 63.62 equal to 18?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 110, 125, 168, 251, 386, 585, 860, 1223?\nAnswer: 1686","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let d(q) = -q**2 - 2*q - 3. Let j be d(-3). Let u(l) = 9*l. Let b be u(-2). Calculate the remainder when 11 is divided by (b\/(-15))\/(j\/(-20)).\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 13, 37, 55, 67, 73, 73?\nAnswer: 67","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 31\/60 and -117\/3230.\nAnswer: 19380","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: 0.3 * 1282\nAnswer: 384.6","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -39*f**4*r**3 + 2*f**4*r + 24*r**3 - 14*r**2 wrt f.\nAnswer: -156*f**3*r**3 + 8*f**3*r","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Put 201, 377, -4, 0, 10 in ascending order.\nAnswer: -4, 0, 10, 201, 377","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (j**(-8)\/(j**3*j))**(-42) assuming j is positive.\nAnswer: j**504","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let l(v) = 14*v**2 + 55*v - 27. Let w(b) = 15*b**2 + 56*b - 18. Determine 2*l(t) - 3*w(t).\nAnswer: -17*t**2 - 58*t","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 21\/4? (a) 0.2 (b) -15 (c) -12\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*v + 2*f = -3*f, 2*f = 0. Which is smaller: v or 3\/185?\nAnswer: v","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(z) = 4*z + 2*z - 3*z. Let b(w) = -6*w. Calculate b(d(u)).\nAnswer: -18*u","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Round -51.6988 to zero dps.\nAnswer: -52","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -0.64 + 0.14. Let l = -0.04 + 0.11. Put l, h, -0.2 in decreasing order.\nAnswer: l, -0.2, h","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -1173 - -1173. Solve -2*h = 7*o - 8*o, 4*h - 8 = x for o.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(w) = -4 + 4 + 6*w**2 - 64*w - w**3 + 59*w. Let f be g(5). Let b(h) = h + 19. Let c be b(-9). Solve u = -4*u, f = 5*i + u - c for i.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: 4425 - 21.3\nAnswer: 4403.7","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 127 minutes after 6:01 PM?\nAnswer: 8:08 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 14484 and 3672?\nAnswer: 204","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Are -3617 and -3617 non-equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 8*n - 8*n + 378*n**3 - 242*n**3 - 187*n**3.\nAnswer: -51*n**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: -1 (base 7) to base 8\nAnswer: -1","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in -1.5, 1\/6, -4?\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let l(k) be the second derivative of -7*k**4\/6 - k. Let r(p) = -7*p**2. Let z(q) = q**2. Let m(j) = 5*r(j) + 30*z(j). Determine -3*l(o) + 8*m(o).\nAnswer: 2*o**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let v(s) = -s**2 - s. Let w(j) = 4*j**2 - j. Suppose -z - 6 = 3*p, 4*z = -2*p - 6 - 8. Calculate p*w(u) + v(u).\nAnswer: -5*u**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Divide 212848537 by -4.\nAnswer: -212848537\/4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-2)\/(-4)*14\/((-12)\/12).\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 0 or 2\/71?\nAnswer: 2\/71","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Convert 208.70247 months to centuries.\nAnswer: 0.173918725","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of (87\/6)\/(((-45)\/1580)\/(-9))?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -w + 40 = 9*w. What is the least common multiple of 2 and w?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 g and 1 h when two letters picked without replacement from {u: 1, h: 2, g: 2}?\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 28617 - 11212. Suppose 5*u + 18610 = -z. Let r = 28303 + u. Round r to the nearest 1000.\nAnswer: 21000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 1\/175497352 or 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 6.88 - 7. Let y = 32.5011 + -32.3811028. Let m = f + y. What is m rounded to six dps?\nAnswer: -0.000003","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 26 a factor of 20982?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) -4\/3 (b) 5 (c) -7.5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*j = 4*j + 2*j. Let m(k) be the second derivative of -1\/12*k**4 + j*k**2 - 3*k + 0*k**3 + 0 + 1\/4*k**5. Find the third derivative of m(s) wrt s.\nAnswer: 30","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sum 28.395459 and -1093.\nAnswer: -1064.604541","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from vhvhvvhvvvhvhv. Give prob of picking 4 h.\nAnswer: 5\/1001","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 1438?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is 724721 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (-1 + 6)*(-3)\/(-5). What is the remainder when -1 + (2 - a)*-32 is divided by 11?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 89152 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: Express -11 - 12 + 25 - 21*s in the form a + t*s and give t.\nAnswer: -21","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 77165 is divided by 76?\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of -3298, -3404, -3510, -3616, -3722, -3828?\n\"Answer: -106*q - 3192","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -38*t**2 + 22*t**2 + 16*t**2 + 4*t**3.\nAnswer: 4*t**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve -21 = 443*g - 436*g for g.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -14*w + 24 = -6*w. Suppose -2*g - g + 534 = 0. Suppose 0 = 16*k - 94 - g. Which is greater: w or k?\nAnswer: k","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(l) = -19*l - 1. Let t be q(1). Let o be t\/90*9\/(-1). Let h(u) = -u**2 - 2*u + 3. Calculate h(o).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 252969?\nAnswer: 3, 37, 43, 53","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Put 28, -271, -3, 2, 0 in increasing order.\nAnswer: -271, -3, 0, 2, 28","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 2.6995 rounded to one dp?\nAnswer: 2.7","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 15 + 40. Let x(f) = -10*f**3 + 8*f**2 + 10*f - 2. Let l be x(-2). Calculate the remainder when n is divided by 30\/l - (-44)\/3.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(u) = -6258*u**2. Let x(z) = -27*z. Calculate x(k(v)).\nAnswer: 168966*v**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is 17 a factor of 24958579?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 p and 1 u when two letters picked without replacement from uqpuuuqqquqzuuqqqp.\nAnswer: 14\/153","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let q(p) = p**3 - 9*p**2 + 9*p - 4. Let v be q(8). Suppose v*s = 10*s + 114. Which is bigger: s or 0.2?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(t) = -t**2 - 6*t + 2. Let w(q) = -q**2 + 5*q - 4. Let a be w(3). Suppose -2*h - g - 7 = 0, -h - 16 = -a*g - 0. Give d(h).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is c in -6*c**5 + 2973*c**4 - 7398*c**3 + 1473*c**2 + 2958*c = 0?\nAnswer: -1\/2, 0, 1, 2, 493","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -61 - -160. Let z = -59 + k. Is z a multiple of 20?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -353, -352, -349, -344, -337, -328, -317?\nAnswer: -304","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is -34 - 231203?\nAnswer: -231242","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let r(c) = 3*c**3 + 5*c**2 - 6*c - 2. Let a(w) = -3*w**3 - 4*w**2 + 5*w + 2. What is -6*a(x) - 5*r(x)?\nAnswer: 3*x**3 - x**2 - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 124608?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Divide 362461 by -1.\nAnswer: -362461","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 73 + -80. Let o = r - -78. Is o composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -41\/10 and ((-3)\/9)\/(208\/468) + (-25682)\/(-33704).\nAnswer: 42130","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(v) = 2*v - 1. Let c be h(8). Let y = c + -12. Solve -l = -y*l - 2 for l.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0, -0.1, 2.75, 12\/7, -1 in ascending order.\nAnswer: -1, -0.1, 0, 12\/7, 2.75","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 1456, 1610, 1764, 1918?\nAnswer: 2072","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 413269*k + 390213*k - 803481*k.\nAnswer: k","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is 14963 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 0.04 - -5.96. Let i = 2 - j. Let r be (-2)\/(-7) + (-20)\/21. Which is the biggest value? (a) i (b) r (c) -5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1 (base 10) in base 9?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 156 and 117.\nAnswer: 39","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let c(p) = p**2 + 17*p + 14. Let q be c(0). Suppose -5*m + 12*d = q*d - 18, -3*m = -3*d - 15. Solve -5*k = -a - 7, 9*k + 5*a - 25 = m*k for k.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(t) be the second derivative of 0*t**2 - 9*t + 0*t**3 + 1\/4*t**4 + 0 + 1\/5*t**5. Find the third derivative of v(n) wrt n.\nAnswer: 24","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 356496 to the nearest integer?\nAnswer: 71","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let i(q) = -3*q**2 + 10*q + 19. Let t be i(-7). Let d = -120 - t. What is the tens digit of d?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from gdgjjdgjhgmjjgdgjgg. What is prob of picking 2 d and 1 j?\nAnswer: 6\/323","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let i be 34*4\/(-480) - 14\/(-42). Which is the second biggest value? (a) -4 (b) -2 (c) -4\/3 (d) -1\/9 (e) i\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -25 + -1 - (381 + -431)?\nAnswer: 24","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -5 - -13. Suppose 1 = 2*v - 5. Let z = 4 + 0. Solve 0*o = z*o - v*m - b, 27 = 3*o + 3*m for o.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(d) = -3*d - 1. Let i(o) = o**2 + o + 1. Suppose 2*q + 2*u - 4 = 0, 2*q - q = 4*u - 13. Let m be i(q). Let h be z(m). Put -2, -1, h in decreasing order.\nAnswer: -1, -2, h","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -28958*r**4 - 9*r**3 - 10533437*r?\nAnswer: -347496*r**2 - 54*r","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 305, 286, 241, 158, 25, -170, -439, -794?\nAnswer: -1247","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 22 - 27. What is the closest to 1\/5 in 4, z, -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(y) = 2*y - 11. Let p be n(5). Let a = 10\/3 + -3. Are p and a equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -9\/43312 and 31\/10817172.\nAnswer: 43268688","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is 264287 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 158 minutes before 6:50 AM?\nAnswer: 4:12 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let q(g) = g**2 + 6*g + 17. What is the smallest common multiple of q(-5) and 42?\nAnswer: 84","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(w) = w**2 - 5*w + 2. Let f be m(3). Let h be (-6)\/(-12) + 2\/f. Solve -2*c + 4*c + 2*t - 8 = 0, 4*c + t - 4 = h for c.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*z - 5*d + 444, 335*z + 5*d + 384 = 337*z. Which is bigger: 205 or z?\nAnswer: z","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -33.96385 to 2 decimal places.\nAnswer: -33.96","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -4.9 - -4.4. Sort o, -0.12, -4.\nAnswer: -4, o, -0.12","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -145 = -2*b - 51. Let p = 70 - b. Calculate the highest common factor of 207 and p.\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(s) = s. Let v(n) = -3*n**3 + 21*n. Calculate 42*c(u) - 2*v(u).\nAnswer: 6*u**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is 84508087 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let p be ((-1)\/10*-16)\/(6\/15). Which is the third biggest value? (a) 0.2 (b) 3 (c) p (d) 2\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 2 - -89 - ((-183 - -376) + -156)?\nAnswer: 54","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 277 - 275. What is the remainder when 54 is divided by p\/9 + (-35)\/36*-8?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 2567 is divided by 285?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 7.031133mm in kilometers?\nAnswer: 0.000007031133","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-5040)\/(-20) + -116 + -86.\nAnswer: 50","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Does 29 divide 437?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is 2622848 less than 2622845?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is -2 - -30?\nAnswer: 27","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -25083*r - 24942*r - 25083*r - 25077*r + 100169*r.\nAnswer: -16*r","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 0 less than 0.040565377?\nAnswer: 0.040565377","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*f = f - 0*f for f.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 9740345 is divided by 541128?\nAnswer: 41","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from ggsgggggkgkggkg. What is prob of picking 3 g and 1 s?\nAnswer: 11\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (10\/(-3))\/((-2)\/3).\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 960 to the power of 1\/7, to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 364*b + 11259 - 38559 = 0. Solve 5*g = b - 50 for g.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*b - 2*b = -20. Let w be 4\/b + 42\/10. Solve 6 + 6 = w*s for s.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -12839 to the nearest ten thousand.\nAnswer: -10000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: 26997408 divided by -187482\nAnswer: -144","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from djuhuuuub. What is prob of picking 1 j, 1 d, and 2 u?\nAnswer: 5\/63","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 x and 2 i when four letters picked without replacement from iifxxxi.\nAnswer: 9\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 5 + -1. Suppose -5*b = -10, -2*d - b = -5*d + 67. Suppose d*v = 31*v - 16. What is the nearest to v in -3, q, -4\/3?\nAnswer: q","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -131 bigger than -124?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*m**2\/11 + 11781868*m\/11 - 11781866\/11.\nAnswer: -2*(m - 5890933)*(m - 1)\/11","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -58 - -114. Let d = w - 28. Find b such that -4*b**5 - 8*b + d*b**2 - 20*b**3 + 0*b**5 - 35*b**3 + 20*b**4 + 19*b**3 = 0.\nAnswer: 0, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -43 - -71. Let g = h - 14. Calculate the remainder when g is divided by 32\/6*6\/4.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {x: 5, s: 2, l: 1, k: 1, u: 8}. Give prob of picking 1 k and 1 x.\nAnswer: 5\/136","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let q(c) be the first derivative of c**4\/22 - 2*c**3\/33 - c**2\/11 + 2*c\/11 - 5. Factor q(u).\nAnswer: 2*(u - 1)**2*(u + 1)\/11","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(c) = 37*c - 1181. Let j be d(32). Let u(k) be the first derivative of 0*k + 19 + 17\/3*k**j + 0*k**2. Let p(z) = -2*z. Determine p(u(q)).\nAnswer: -34*q**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2606*v - 520 = -5322*v + 2676*v. Let a = -33 + 49. Solve v = -3*n + y, -4 + a = 3*y for n.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -418\/197 greater than -3?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -5*o - 19 - 86. Let w = o - -21. Suppose x = 3*x - 4*n - 64, 4*x - n = 107. Solve w = -4*a - 5*k + x, -a + 2*k = a - 4 for a.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: 3 * -3.93743\nAnswer: -11.81229","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 4 + 0 + -2 + (130 - 131) + -35 - 5.\nAnswer: -39","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let t(r) be the second derivative of -r**7\/5880 + r**6\/1260 - 5*r**3\/3 - 14*r. Let p(z) be the second derivative of t(z). Let p(s) = 0. What is s?\nAnswer: 0, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 776 + -753. Is h less than or equal to -1\/5?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(v) = -3*v**2 + 3*v + 9. Suppose 13*a - 6*a + 30*a = 148. Let n(w) = -7*w**2 + 7*w + 19. What is a*n(r) - 9*g(r)?\nAnswer: -r**2 + r - 5","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*b - 13*c + 5238 = -18*c, 12 = -3*c. Is b composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (4 - 2) + -10 + (4 - 1).\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Are -165 and 507 non-equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is -3 - 424343?\nAnswer: -424401","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -1\/27 in -1375, 0.5, -1\/6?\nAnswer: -1\/6","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -38196*r**2 + 18821*r**2 + 18612*r**2.\nAnswer: -763*r**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 s and 3 x when four letters picked without replacement from {x: 9, s: 1, l: 7, m: 2}?\nAnswer: 7\/323","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*k - 8 = -28. Suppose -2*u + k*l - 1744 = 0, -u + 1768 = -3*u - 2*l. What is u rounded to the nearest 100?\nAnswer: -900","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is 1933 + 89?\nAnswer: 19bc","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (-106)\/(-22) - (-4)\/22. Suppose 2*y + n = 4, 4*n + 2 = w*n. Let o(t) = t**3 + 15*t**2 - 15*t + 17. What is the remainder when o(-16) is divided by y?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -20222004 (base 5) to base 2.\nAnswer: -101000000010100100","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 0.0315 + 211.9685. Let c = 211.999867 - m. Round c to five decimal places.\nAnswer: -0.00013","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -37 + 42. Let q be 2\/(-12) - (-50)\/12. Let f(r) = 2 - q*r + r + 0*r. Let a(u) = u. Determine m*a(x) + f(x).\nAnswer: 2*x + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-5*(-4 + 1*sqrt(13) + -4))**2.\nAnswer: -400*sqrt(13) + 1925","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.0000517085 rounded to 7 dps?\nAnswer: -0.0000517","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let z(h) = -h**3 + 20*h**2 + 21*h - 24. Determine z(21).\nAnswer: -24","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*o + 417 = -2*d + d, 3*o - 1275 = 3*d. Let v be 260\/d*(-24)\/(-5). Which is bigger: v or 2?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(176) + 0 - (sqrt(176) + 1))**2.\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*g + 47 = -17. Suppose -y + 14 = 4*p, 5*p + 2*y = -0*p + g. Find the third derivative of -4*v**5 + 2*v**2 + 4*v**5 - 3*v**2 - p*v**5 wrt v.\nAnswer: -240*v**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:38 AM and 3:08 PM?\nAnswer: 690","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -0.815 + -10.185. What is the smallest value in 8\/3, s, -4?\nAnswer: s","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-19)\/10 + 2 - 2\/(-5).\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Work out 15 * 0.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is 12615541 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -52 + 55. What is l in -6*l**3 - 96*l**2 - 64 - 2*l**3 + 128*l + 40*l**t - 4*l**4 = 0?\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 k, 1 o, and 1 f when four letters picked without replacement from {k: 4, y: 5, f: 1, m: 1, o: 1, x: 1}.\nAnswer: 6\/715","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let u(k) = k**2 + k - 7. Calculate u(3).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -52346, -104704, -157078, -209468?\nAnswer: -261874","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let k be 32226\/(-3690) + 1*4\/10. Which is the second biggest value? (a) k (b) 2\/11 (c) -2 (d) 0.2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve x + 2211*z - 14 = 2212*z, -290 = 50*x + 5*z for x.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*t + 4 = -2*v, 7*t - 2*t + 2 = -3*v. Let b be 3\/15 + 208\/10. Suppose -t*d + b = -5*d. Which is smaller: d or -6?\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (4*2*(sqrt(1372) + sqrt(1372) + 1) + (sqrt(1372) - (0 + sqrt(1372))*3)*-6 + -4)**2.\nAnswer: 3136*sqrt(7) + 1075664","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of 6474702, 25898760, 58272182, 103594974, 161867142, 233088692, 317259630?\n\"Answer: i**3 + 6474676*i**2 + 23*i + 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 135139*n**3 - 2*n**2 - 1821?\nAnswer: 810834","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -118.92 - 1.08. Let c = a + 122. Let l be 0 - -2 - 9\/5. Sort c, -2\/11, l in ascending order.\nAnswer: -2\/11, l, c","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 47 and -0.843.\nAnswer: -39.621","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -3 - -3. Let y = -6 + 8. Suppose i = -3*o, -3*u = o + y*o - 60. Is 8 a factor of u?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -456*p**3 - 1086*p**2\/5 - 141*p\/5 - 3\/5 = 0. Calculate p.\nAnswer: -1\/4, -1\/5, -1\/38","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -4 - -9. Let z be 7\/39 + m\/(-15). Which is bigger: 0.1 or z?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 1 or 1733019?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 5*l - 6*l. Solve l*y = -3*y - 12 for y.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -22*t + 5*o = -18*t + 7, -3*o + 12 = -5*t. What is the fourth smallest value in t, 5, 0.1, -9, -0.2?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_test"},"subset":"dm_maths"} +{"text":"Question: 77 divided by 77\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 4? (a) -3 (b) -12.9 (c) 0\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let k(r) = 7*r + 0*r + 6*r + r + 3 + 2*r. Let p(o) = -111*o - 21. Suppose 3*g + 14 = j, 2*j = g + 1 + 7. Let w(t) = j*p(t) + 15*k(t). Differentiate w(s) wrt s.\nAnswer: 18","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 48 divide 1044825853?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: -300 (base 12) to base 8\nAnswer: -660","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -174.5552 and -1?\nAnswer: 174.5552","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 86.21964 milligrams in tonnes?\nAnswer: 0.00000008621964","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Does 10 divide 15266?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 1767 to the nearest integer?\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve 33 = -6*t + 39 for t.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from nnzqnnnnddnqnnndnnqd. What is prob of picking 2 d and 1 q?\nAnswer: 3\/190","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -16103, -64411, -144923, -257639, -402559?\nAnswer: -579683","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (-2)\/(-1)*(-6)\/(-60). What is the closest to 3 in 2\/7, -0.4, q?\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from qjqjuu. What is prob of picking 1 q and 2 u?\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is -124140 - 423?\nAnswer: -130113","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let l(r) = 6*r**3 - r**2 + 5*r - 5. Let h be (-20)\/(6*(-1 - (-6)\/9)). Let o(k) = k**3 + k - 1. Give h*o(s) - 2*l(s).\nAnswer: -2*s**3 + 2*s**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let m(d) = 30*d + 71. Determine m(-7).\nAnswer: -139","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -f + 5*z + 24, 0 = -4*f - f + z. Let b = 2 - f. Suppose 0 = -4*p + w + 8, -4*p - 12 + 28 = w. Is p <= b?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(a) be the third derivative of 0 + 0*a**3 - a**2 + 0*a - 1\/24*a**4. Let i(k) = 0*k + 3*k - 6*k. What is q(i(w))?\nAnswer: 3*w","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 492 minutes before 5:23 AM?\nAnswer: 9:11 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let w(p) = -p**3 + 3*p**2 + 7*p + 3. Let x be w(-1). What is the biggest value in -0.5, 0.92, -3, x?\nAnswer: 0.92","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t be 84\/35 - 3\/(-5). Suppose -m = -t*m + 298. Is m a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u be 6\/8*48\/18. Suppose l = 5*h + 68, -230 = -0*l - 3*l + u*h. Suppose -5*a + 3*c + 129 = 0, -3*a + 0*a + l = -2*c. What is the tens digit of a?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(s) = -2*s - 8. Suppose q = 2*z + 3*z - 13, -3*q = 4*z + 20. Let w be q - (1\/(-2))\/(11\/44). Give n(w).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1455356 is divided by 1854.\nAnswer: 1820","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (1 - 45) + 2 - -3. Let n be 36*(-4 - d\/9). Calculate the greatest common factor of n and 24.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(q) = -2*q**3 + 1 + 16*q**3 + q**2 + 336*q - 335*q. Calculate k(-1).\nAnswer: -13","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 15 divide 555?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0.2 in 0.4, 1\/379, 4\/9, -3?\nAnswer: 1\/379","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 38 + -46. Let r(h) = h**2 + 7*h + 4. Determine r(m).\nAnswer: 12","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) -2\/15 (b) -5 (c) -6\/11 (d) -3\/2 (e) -46\/39\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 66*m - 210823 = -6355. Does 56 divide m?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(u) be the first derivative of 0*u + 0*u**2 - 4 + 1\/3*u**3. Let v(k) = -6*k**2. Calculate v(l(h)).\nAnswer: -6*h**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 4 e when four letters picked without replacement from {x: 2, e: 16}.\nAnswer: 91\/153","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -53\/110 and -49\/10000?\nAnswer: 110000","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 198656587.\nAnswer: 31, 6408277","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is (-1*(-39)\/(-9) + 1)\/(95\/342)?\nAnswer: -12","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -f = -4 + 3. Suppose -f = -2*t + 9. Let x = t - 3. What are the prime factors of x?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 c when two letters picked without replacement from crcdwdx?\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 13\/((-637)\/(-350)) + -6?\nAnswer: 8\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(b) be the second derivative of -b**5\/20 + 11*b**4\/12 + 2*b**3 + 3*b**2 - 12*b. Let i be p(12). Do 6 and i have the same value?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -77*o**5 - 4*o**2 + 1.\nAnswer: -4620*o**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2 = r + 3. Let d be ((-2)\/(-1)*6)\/r. Let o(s) = s + 7. Let y be o(d). Sort y, 2, -1.\nAnswer: y, -1, 2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 1, -3, -2718 in increasing order.\nAnswer: -2718, -3, 1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 162012767, 324025537, 486038307?\nAnswer: 648051077","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 47615594?\nAnswer: 2, 13, 1831369","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Work out -442149 - -14032.6582.\nAnswer: -428116.3418","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*p - 139 = 4*z - 110, -341 = 31*z. Let a = 0.4 + -0.7. Let g be (0\/1 - 0)\/(-1). What is the nearest to g in a, 0.4, p?\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-1017*c + 26 - 102 + 76)*(3 - 6 + 2) + (-3*c + 6*c - 2*c)*(-1 + 3 - 1) + 2 + c - 2.\nAnswer: 1019*c","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (i**(-2\/11)\/i*i*i**(-2\/15)\/i)\/(i**10*i*i**(-3)\/i) assuming i is positive.\nAnswer: i**(-1372\/165)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:38 AM and 6:59 PM?\nAnswer: 501","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -8 - -8.5. Let a = 2 + -7. Let x be (-10)\/4*1\/(-10). What is the closest to x in a, w, -0.2?\nAnswer: w","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -3.1 - -2.8. Let c = -4 - -7. Suppose -4*h = -c*h. What is the second smallest value in 1\/5, h, s?\nAnswer: h","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(d) = d**3 + 3*d**2 - 4*d. Let s be u(-4). Suppose s*h - 3*q = -3*h + 192, 0 = -3*h - 5*q + 208. List the prime factors of h.\nAnswer: 2, 3, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1350903 is divided by 391?\nAnswer: 389","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-2*(sqrt(21)\/sqrt(3)*2 + sqrt(7) + -1 + sqrt(63) + (sqrt(7) - (sqrt(7) + sqrt(70)\/(sqrt(10) + sqrt(40)\/sqrt(4) - sqrt(10)))) + 4 + 4 + 0))**2.\nAnswer: 280*sqrt(7) + 896","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let y(s) = s**2 - 2*s + 13. Calculate the remainder when 63 is divided by y(0).\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: -16106918980+0.05\nAnswer: -16106918979.95","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 4896 and 43887132?\nAnswer: 612","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Determine o so that 27*o**3 + 11*o - 3*o + 7*o + 75*o**2 - 15*o**2 - 3*o = 0.\nAnswer: -2, -2\/9, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 115 + -89. Let g be (1 - 3)\/(r\/(-52)). Suppose g = -7*z + 4. Is 2\/3 less than or equal to z?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 719567?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Sort 17, 16, 1, 2, 1886 in decreasing order.\nAnswer: 1886, 17, 16, 2, 1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: 3932 (base 10) to base 7\nAnswer: 14315","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 17 + -3. Let m = 28 - k. Is 7 a factor of m?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 212232 to the power of 1\/3, to the nearest integer?\nAnswer: 60","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*k = -4*u - 270, -4*k + 24 = -2*u + 214. Is 3\/16 at least k?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -2, 5, -45.\nAnswer: -45, -2, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 7937?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -15*h - h + 112. Suppose h*w + t - 204 = 2*w, 4*w - t = 156. What are the prime factors of w?\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose a - 3 + 0 = 0. Suppose 0 = 3*l, -3*m + m + a*l = -22. Let k = -2 - -4. Calculate the least common multiple of m and k.\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from ggggggzg. What is prob of picking 3 g?\nAnswer: 5\/8","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is -1 - 2003330?\nAnswer: -2003331","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*p = 33 - 63. Solve -6*s - 16 = -p*s for s.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -199 - 24. Let c = 386 + r. What are the prime factors of c?\nAnswer: 163","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -149658.4 rounded to the nearest one thousand?\nAnswer: -150000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {v: 1, s: 1, j: 2, w: 3}. Give prob of sequence vjwj.\nAnswer: 1\/140","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-35784)\/1617 - -22)\/(10\/(-40)*(-8)\/(-14)).\nAnswer: 10\/11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(l) = 9*l. Let k be n(3). Let o be (-296)\/(-36) + (-6)\/k. Suppose 3*i - o = 4*d, -3*i = -2*i - 5*d - 10. Solve -j + 2 + 3 = i for j.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = v - 53 + 54 for v.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3*s - 2*s - 3*s)*(-3 + 3 - s) + 539*s**2 - 64760 + 64760 + (4 - 3 - 4)*(0*s**2 - 4*s**2 + 2*s**2).\nAnswer: 547*s**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let c(z) = z**2 - 4*z - 8. Let m(b) be the third derivative of b**5\/60 - b**4\/8 - 2*b**3\/3 + 5*b**2. Let s be m(-2). Let f be c(s). Solve -5*o + f*o = 5 for o.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -4*d**3*s - 10386263*d**3 - 15*d**2 + 81983*d - 2*s - 4 wrt d.\nAnswer: -24*s - 62317578","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*y + 3*q = 3*y + 3, q = 3*y + 1 for y.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2450 = -11*k + 15*k - q, 4*k + 5*q = 2462. What is the tens digit of k?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: 92032 - 607\nAnswer: 91425","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*x = 20, 0*x - 30 = 2*a + 4*x for a.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let f(z) = -121*z - 1323. Let v be f(-11). Calculate the greatest common divisor of v and 152.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (-5)\/(25\/(-80)) + -2. Let r be 7\/g*(1 - -20). Which is greater: 11 or r?\nAnswer: 11","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: ((-12)\/(-18))\/(((-25)\/5)\/(-30))\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 24279, 22569, 17931, 8901, -5985, -28191, -59181?\nAnswer: -100419","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is fourty-five quarters of a millennium in years?\nAnswer: 11250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of 180, 247, 302, 339, 352, 335, 282?\n\"Answer: -r**3 + 74*r + 107","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve -f = f - 10, -4*q - 5*f = -17 for q.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 667 minutes after 1:28 AM?\nAnswer: 12:35 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: -5 divided by -7981\nAnswer: 5\/7981","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let g(t) = 144*t**3 - 40*t**2 + 191*t + 16. What is the hundreds digit of g(5)?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1553.419517 rounded to the nearest 10?\nAnswer: 1550","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.015 minus 5031810209935?\nAnswer: -5031810209935.015","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 199.41 rounded to the nearest integer?\nAnswer: 199","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: (-4)\/((-5)\/(1 + -6))\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is -107.697 rounded to 0 decimal places?\nAnswer: -108","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 278 - 255. Calculate the remainder when 273 is divided by m.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0*g**2 + 2*g**2 - g**2)*(-10 + 10 + 4 + (69 + 58 - 7)*(1 - 5 + 2) + 3 - 2 + 3).\nAnswer: -232*g**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is -205a3a - -105?\nAnswer: -205935","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-67 + 67 + 6*g)*(-2*g**2 + 4*g - 4*g) + 6*g**3 - 35*g**3 - 27*g**3.\nAnswer: -68*g**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -7610*v**2 - 4*v + 303 wrt v?\nAnswer: -15220","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.00003923 to 6 decimal places.\nAnswer: -0.000039","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is -163525 take away -97?\nAnswer: -163428","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.798 to two dps.\nAnswer: -0.8","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 22555 - 22425.39. Let r = p - 81.38. Let s = r - 48. What is s rounded to 1 decimal place?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 1611080 and 120?\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let w be ((-48)\/22)\/(6\/(-28)). Let s be (-9)\/12*8956\/462. Let n = s + w. Calculate the common denominator of n and 11\/14.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 7 a factor of 196?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Put -5\/2, -7\/4, 5, 0 in decreasing order.\nAnswer: 5, 0, -7\/4, -5\/2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is 1059 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6 = j - 2*b, 2*j - 3*b = 2*b - 13. Let r(m) = -5*m**2. Let p(z) = -z**2. Let i(t) = j*r(t) + 22*p(t). Let c(k) = 84*k**2. What is i(c(q))?\nAnswer: -14112*q**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 270 is divided by 114?\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve -216*d - 5580 = -396 for d.\nAnswer: -24","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -2*f*v**3 - 2*f*v**2 + 3706*f*v - f - 541*v**3 - v**2 - 1 wrt v.\nAnswer: -12*f*v - 4*f - 3246*v - 2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let c(w) be the second derivative of 9*w**6\/70 + 9*w**5\/140 - 31*w**4\/14 - 38*w**3\/7 - 36*w**2\/7 - 9*w - 5. Let c(b) = 0. What is b?\nAnswer: -2, -2\/3, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 8088781, 8088778, 8088775, 8088772?\nAnswer: 8088769","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 53 a factor of 5368308?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 22*d + 14 = 15*d. Let r = -2.8 + 6.6. Let t = 4 - r. Which is the nearest to 0? (a) -0.3 (b) t (c) d\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 4555567429.\nAnswer: 7, 137, 1499, 3169","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = u - 3*u + 8. Find the second derivative of u*c - c**5 + 2*c + 0*c**5 - c wrt c.\nAnswer: -20*c**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -183\/14 - -3139\/238. Which is the closest to -1? (a) h (b) 1\/4 (c) -0.02 (d) 1\/6\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*p - 4*q = -3*p + 20, -5*p - q + 41 = 0. Suppose -3*i + p = -0*d - d, -i = -5*d - 12. Suppose 0 = -i*l - l + 30. Is l a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 3*h**2 - 207321*h + 1451100.\nAnswer: 3*(h - 69100)*(h - 7)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let y(u) = u + 3. Let k be y(-2). Let q = 2 - k. Suppose f + 4*w - 3 = 0, f - 4*w = -1 - 12. Sort q, -2, f.\nAnswer: f, -2, q","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) 1\/6 (b) -0.2 (c) 0.4 (d) 1\/99 (e) 8\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let j(z) = 8*z - 25. Let k(i) = -18*i + 48. Calculate 13*j(d) + 6*k(d).\nAnswer: -4*d - 37","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -0.099 in -3, 143, -0.03?\nAnswer: -0.03","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let u(l) = -l - 5. Let r be u(-5). Suppose 3*a - 13 - 2 = r. Solve 2*b - 6 = 0, -a*y - 31 = -4*b - 4 for y.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(k) = -3*k**3 + k**2 - 1. Let y be m(-1). Let n be -2 + 4 - 4\/y. Put n, 1\/4, 3 in descending order.\nAnswer: 3, n, 1\/4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 133*u = u for u.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 1083?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 10090673*r - 5856173.\nAnswer: 10090673","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -16488, -65623, -147500, -262113, -409456, -589523?\nAnswer: -802308","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (-2313)\/(-153) - 10\/85. Suppose -2*m = 0, 2*d + m = -d + h. Solve 3*y - 6 = d*y for y.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(75) - (sqrt(75)*-2 + -2) - sqrt(75)) + 1)**2.\nAnswer: 60*sqrt(3) + 309","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -382.5 - -381. Which is the biggest value? (a) 2\/9 (b) x (c) -0.8\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*f = 4*f - l, 4*f + 4*l + 16 = 0. Is f\/((-2)\/(-10) - (-171654)\/(-857570)) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*w + 55 = -3*s, 105 = 18*w - 10*w - s for w.\nAnswer: 13","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*r - 1082 = -6*r. Is r composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -924650 to the nearest 100000.\nAnswer: -900000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 66465.\nAnswer: 3, 5, 7, 211","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 4 + -2. Suppose -10 = 3*f + g*f. Let p be 5\/7*f\/5. Which is the biggest value? (a) -7 (b) -2\/3 (c) p\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -168.8139 or -2.71?\nAnswer: -168.8139","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -4901, -9810, -14719, -19628?\nAnswer: -24537","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 16*d + 1002*d**3 - 16*d.\nAnswer: 1002*d**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 18\/(-4) + 54\/18.\nAnswer: -3\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 355083239?\nAnswer: 7, 50726177","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (57 - 53)\/(20\/25). Let 5\/4*t**3 - 5*t**2 + 0*t + k*t**4 + 0 - 5\/4*t**5 = 0. Calculate t.\nAnswer: -1, 0, 1, 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(u) = 37*u - 582. Let x be g(19). Let z(b) = -9*b**3 - 2*b**2 - 2*b. Let w(t) = -539*t**3 - 121*t**2 - 121*t. Give x*z(y) - 2*w(y).\nAnswer: -11*y**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (-7)\/(-2) + (-2)\/4. Suppose 0 = 4*y - 3*z + 13, -4*z = -u*y - 3*z - 6. Let n be (-3 + y)*52\/(-16). Solve p - 3*w + n = -0*p, -p + 2 = 2*w for p.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 129208 is divided by 7150?\nAnswer: 508","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 547 minutes before 4:43 PM?\nAnswer: 7:36 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*r - 13 = -5*u + 3*u, 0 = 5*u + 2*r + 40. Let d be 3 - u\/(-3)*3. Let v(y) = -353*y - 10. Is v(d) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 158771434 to the nearest integer?\nAnswer: 541","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1242712.\nAnswer: 2, 163, 953","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -112 + 37 = -5*s. Suppose y + 2*y = s. Let o = y + 8. What are the prime factors of o?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.642958 centuries in millennia?\nAnswer: 0.0642958","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 40 - (-15 + (7 - 18) + 13)?\nAnswer: 53","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is -13960 >= -13961?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-10)\/(-5)*2\/20*640\/(-2496).\nAnswer: -2\/39","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let b(w) be the first derivative of -3*w - 8*w**2 - 4 + 3*w + 7*w**2. Let g(a) = -2*a**2 + a**2 + 2*a**2. What is g(b(i))?\nAnswer: 4*i**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -14*o**2*p**2 + 26766*o**2 + 15*o*p**2 + 2*p**2 - 12*p - 105817 wrt o?\nAnswer: -28*o*p**2 + 53532*o + 15*p**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve h + 2*d = -2, h + 7*d - 4 = 8*d for h.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is 168 a factor of 2075710896?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 73 + -26.4. Let g = -40 + -7. Let x = f + g. What is the third biggest value in x, 12, 2?\nAnswer: x","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -874976, -1749951, -2624926?\nAnswer: -3499901","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth root of 967 to the nearest integer?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 3913156549?\nAnswer: 461, 701, 12109","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -27.29 - 0.11. Let o = -0.6 + t. Let g = -29.8 - o. What is g rounded to zero decimal places?\nAnswer: -2","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3*w**3 - w**3 + 3*w**3)*(51 - 51 + 7*w).\nAnswer: -7*w**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 23 divided by -2790284.\nAnswer: -23\/2790284","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 11.8583 - -0.1417. What is the biggest value in u, 0.9, 0.5?\nAnswer: u","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 5*u, -2*l + 5*u - 14 = 14. Let k = -2 - l. What is the lowest common multiple of 24 and k?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of 3501, 27959, 94333, 223575, 436637, 754471?\n\"Answer: 3492*p**3 + 6*p**2 - 4*p + 7","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth root of 8250 to the nearest integer?\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 2 - -6. Let l be (m\/(-4) + 2)*1. Which is smaller: l or -3\/4?\nAnswer: -3\/4","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 7.26258 millennia in months?\nAnswer: 87150.96","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 634 minutes before 9:48 AM?\nAnswer: 11:14 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 290582557?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*t + 4*t - 71 = 0. What is the remainder when t is divided by 15?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is 4234 + -43541?\nAnswer: -35303","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*n + 3*n = 117. Let s = n + -44. Let j = -257\/4 - -65. Which is the second biggest value? (a) -0.5 (b) j (c) 0.3 (d) s\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_test"},"subset":"dm_maths"} +{"text":"Question: Does 4 divide 7439?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 60573, 121141, 181705, 242265, 302821?\nAnswer: 363373","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -1589 - -1594. What is the biggest value in -1, -6, 3, m?\nAnswer: m","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 15039689 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of -78, -155, -228, -297, -362, -423?\n\"Answer: 2*o**2 - 83*o + 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -29\/15 and 49\/360.\nAnswer: 360","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 47059 divided by -8579?\nAnswer: -47059\/8579","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*f - 5*f + 63. Suppose 2*p + f = r - 0*r, 0 = 4*r - 4. Which is smaller: -30\/11 or p?\nAnswer: p","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*d = n - 184, 4*n + d - 775 = -2*d. Does 28 divide n?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(21)\/(2*sqrt(3)) + 0 + -1.\nAnswer: -1 + sqrt(7)\/2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 1 or -1530\/1601843?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is 1075759957 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*s**5 + 136*s**4 - 1208*s**3 - 76996*s**2 - 220554*s - 144900 = 0. What is s?\nAnswer: -69, -21, -2, -1, 25","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 25325, 25326, 25327, 25328, 25329?\nAnswer: 25330","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 3567620 a multiple of 17?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Convert 22.97403ns to seconds.\nAnswer: 0.00000002297403","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 153aa (base 14) in base 11?\nAnswer: 367a8","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -99\/130 and -7\/104.\nAnswer: 520","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of 600193, 1200385, 1800577?\n\"Answer: 600192*r + 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 66 - 97. Let m = 44 + k. Suppose 0 = -3*l + l - r + m, 4*l - 38 = 2*r. What is the highest common divisor of l and 24?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 13, 46, 93, 148, 205, 258, 301, 328?\nAnswer: 333","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let g(h) = h**2 + 18*h + 9. Let t be g(-16). Let d = t + 8. List the prime factors of (-1397)\/d + (32\/60)\/(-4).\nAnswer: 3, 31","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(k) = 22*k**2 + 100*k - 878. What is t(-9)?\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -8863 + 8865. Put a, -15, -176 in ascending order.\nAnswer: -176, -15, a","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -2.48 - 180338.0722?\nAnswer: -180340.5522","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 1226 - 6103\/5. Is 6 greater than or equal to d?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 1\/8015370 or 0?\nAnswer: 1\/8015370","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 11*y**3 + 1 - 3*y**3 + 3*y**2 - 16*y**3 to the form q*y + j + b*y**3 + w*y**2 and give w.\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 10 and 48?\nAnswer: 240","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 k and 2 l when three letters picked without replacement from hhlhhhlkkhkka?\nAnswer: 2\/143","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*l = -3*q - 104 + 164, -2*q = 3*l - 40 for q.\nAnswer: 20","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Express 125*a + 0 + 0 - 688*a - 145*a in the form x + i*a and give i.\nAnswer: -708","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 44 and 36.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 1\/3? (a) 45 (b) 1\/3 (c) -3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*g + 4*m - 38 = -9*g, 3*g = 2*m - 8 for g.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Factor q**2\/2 - 307171*q - 614343\/2.\nAnswer: (q - 614343)*(q + 1)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 10138.4 times 8?\nAnswer: 81107.2","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -728 + 728. Suppose 92*v - 97*v = c. What is the closest to 0 in v, 4, 1?\nAnswer: v","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -0.1? (a) 0.015 (b) -12 (c) 3 (d) 2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*l + 38 = 10. Let q = 1.04 - 0.04. Let a = -46.6 + 47. Sort a, l, q.\nAnswer: l, a, q","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (64\/6)\/(3\/(-9)). Let l = a + 57. Suppose 6*p + l = p. Sort 2, p, 5.\nAnswer: p, 2, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*z = 2*f + 46, -2*f = -4*z + 2*f - 64. Let i = 9 + z. Let j be 1*1\/(i\/(-8)). What is the nearest to -1 in j, 1\/3, 0.5?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many seconds are there in three fifths of a day?\nAnswer: 51840","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let f(h) be the first derivative of 7*h**3\/3 - 3365. Let t(b) = -2*b + 30. Calculate t(f(l)).\nAnswer: -14*l**2 + 30","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Express -8*g**4 - 16*g**4 + 19 + 4*g**3 - 6*g**3 + 9*g**4 in the form i*g**2 + w*g + k + x*g**3 + b*g**4 and give x.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -4*j + 2024 - 2020 for j.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*z**5\/13 - 2738*z**4\/13 + 101870*z**3\/13 - 951974*z**2\/13 + 2183840*z\/13 - 1331000\/13 = 0. What is z?\nAnswer: 1, 2, 10, 25, 1331","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Add -17279814 and 239.98.\nAnswer: -17279574.02","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 10 + 1 + -25 + 18.\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 107614 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: Suppose 3*h = 4*h - 97. Suppose 5*r + 88 = 3*p - 0*r, 3*r + 84 = 3*p. Let d = h - p. What are the prime factors of d?\nAnswer: 71","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 1681?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let t be ((-6)\/(-21))\/((-6)\/7 - -1). What is the remainder when 9 is divided by t + (4\/(-7))\/(2\/(-14))?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 11 + (-5 - ((-1 - (-14 + 6)) + -16))?\nAnswer: 15","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-37 - -33) + (1 - (-2 - 2))?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 264 and 11781.\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 2\/15 of a century in months?\nAnswer: 160","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 347042730 and 105.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*k**3\/3 + 1850*k**2\/3 + 133508*k\/3 - 45120.\nAnswer: 2*(k - 1)*(k + 80)*(k + 846)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 8*v - 3*v**2 - 2*v**2 + 2*v**2.\nAnswer: -3*v**2 + 8*v","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let g be 1 + -1 + 60\/15. Let c be g\/(-2*2)*0. Suppose c = -2*z + 10 + 6. Calculate the highest common divisor of 32 and z.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(h) = 173*h + 14824. Calculate k(-86).\nAnswer: -54","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1, 0.5, 0.4, 23, -1\/1595.\nAnswer: -1\/1595, 0.4, 0.5, 1, 23","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1.41, -0.01, 1.\nAnswer: -0.01, 1, 1.41","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let d(u) be the third derivative of u**6\/120 - u**4\/12 - 3*u**3\/2 - 46*u**2 - 3. Determine d(0).\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 101985 and 75.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 60038591.\nAnswer: 60038591","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0.79? (a) 21\/11 (b) 7\/3 (c) 2 (d) -1\/6\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 15653*y = 15655*y - 431520. Round y to the nearest 10000.\nAnswer: 220000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of -6462, -13013, -19608, -26247?\n\"Answer: -22*g**2 - 6485*g + 45","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.001784521127 rounded to three dps?\nAnswer: -0.002","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 563*q - 160*q + 2601 = 54991. Calculate the greatest common factor of q and 565.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(a) be the second derivative of a**4\/6 + 39*a + 1. Let p be (2 - 8\/2) + 10. Let t(k) = 23*k**2 + p*k**2 - 19*k**2. Give f(t(b)).\nAnswer: 288*b**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let j(o) = o**3 + 24*o**2 + 34*o + 35. What are the prime factors of j(-22)?\nAnswer: 3, 5, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*p**3\/15 - 1868*p**2\/5 - 59906*p + 1646372480\/3.\nAnswer: 2*(p - 1945)**2*(p + 1088)\/15","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: (-889 - -869) + (-2 - 15)\nAnswer: -37","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from iwwowxoiqowqxowxxxo. What is prob of picking 2 o and 2 w?\nAnswer: 25\/969","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*u = -4*x - 64, 4*u + 2*x - 16 = 3*u. Calculate the greatest common factor of 512 and u.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(m) = 7*m - 31. Let r be s(4). Sort 3, 2, -5, r in descending order.\nAnswer: 3, 2, r, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -1.65? (a) -1\/4 (b) -2 (c) 1\/118 (d) -0.2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 6812 is divided by 6739.\nAnswer: 73","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Determine g, given that 4*g**2 - 576*g + 20736 = 0.\nAnswer: 72","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*g + 3*g = 21. Let y be (-4)\/(-2)*(-3)\/g. What is the nearest to -2\/3 in y, 2\/3, -5?\nAnswer: y","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -1949502, -1949485, -1949462, -1949433?\nAnswer: -1949398","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -10 - -8. Suppose 2*c - 5 = -17. Let p = -9 - c. Which is greater: p or q?\nAnswer: q","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 787185 and 68.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let h(o) be the second derivative of -o**4\/48 + 257*o**3\/12 + 1403*o. Factor h(p).\nAnswer: -p*(p - 514)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -9 - (-2 - 7) - (3 - -1)?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*z = 5*z - 6. Suppose 0 = -3*a + 12, 0 = 4*b - 2*a - z + 7. Suppose -i + 0 = -b. What is the units digit of i?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 112917734?\nAnswer: 2, 56458867","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (i*i\/(i\/i**(5\/4))*i)\/i**(-32) assuming i is positive.\nAnswer: i**(141\/4)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -50292 or -50278?\nAnswer: -50278","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of 127, 70, -75, -350, -797, -1458, -2375?\n\"Answer: -7*c**3 - 2*c**2 - 2*c + 138","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let t(p) = -28*p**2. Let r(i) = 4*i**2 - 14. Determine t(r(s)).\nAnswer: -448*s**4 + 3136*s**2 - 5488","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*f**4\/3 - 15278*f**3\/3 - 12912850*f**2 - 32181261578*f\/3 + 1069971372352\/3.\nAnswer: -2*(f - 32)*(f + 2557)**3\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Convert 775.262ml to litres.\nAnswer: 0.775262","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let n be 3\/2 + -7 + 165\/22. Let l(h) = n*h**2 + 188*h - 188*h. Let u(z) = 3*z - 3. Determine u(l(c)).\nAnswer: 6*c**2 - 3","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -28 + 30. Let a(s) = -30*s**2 - 29*s**w + 3*s**2. Let b(r) = -3*r + 3*r - r**2. Calculate b(a(g)).\nAnswer: -3136*g**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Put 2, -5, 25, 7 in ascending order.\nAnswer: -5, 2, 7, 25","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 m when two letters picked without replacement from gqdbmbqqrggqmggqq?\nAnswer: 1\/136","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is -5 + -8b?\nAnswer: -91","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 9381526 and 0.27.\nAnswer: 2533012.02","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: -2 * -1068\nAnswer: 2136","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 52793, 52782, 52781, 52796, 52833, 52898, 52997?\nAnswer: 53136","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: How many millimeters are there in 68.07727 micrometers?\nAnswer: 0.06807727","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -5*l + 2*s + 21, 0 = -5*l - 5*s + 5 + 30 for l.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*x + 2*x - 48 = 0. Let w = 27 - x. What is the remainder when w is divided by 8?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 228 divide 14575?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Convert 26 (base 13) to base 6.\nAnswer: 52","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 19\/(5\/10*2)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 0.57 - 0.6. Let h = -1439\/7 - -206. What is the second smallest value in t, 5, h?\nAnswer: h","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 26 - 23. Let l = 2 - 2. Suppose l = -4*f + n*f - 5. What is the third smallest value in f, 4\/3, -0.4?\nAnswer: 4\/3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the seventh root of 116216786 to the nearest integer?\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let t(o) = o**3 + 24*o**2 - 33*o - 95. What is the least common multiple of t(-25) and 10?\nAnswer: 210","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (-88)\/(-24) - 5 - 476\/(-6). Find the third derivative of -z*d**4 - 20*d**2 + 78*d**4 - 11*d**2 + 18*d**5 wrt d.\nAnswer: 1080*d**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -6 and 0.03801.\nAnswer: -0.22806","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: -26.5*32.1\nAnswer: -850.65","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 9900 is divided by 25?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*p + 2*g = -1388 + 1398, 0 = 2*p + 5*g + 15 for p.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let n(k) be the second derivative of -k**4\/54 + k**3\/9 - 2*k**2\/9 - 27*k. Find t, given that n(t) = 0.\nAnswer: 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is one sixth of a day in minutes?\nAnswer: 240","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 1458619 to the power of 1\/2, to the nearest integer?\nAnswer: 1208","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Expand q + 10*q - 3*q + 2*q + 0 + 0 + (-2*q + q - q)*(-1 + 1 - 2) + 12*q - 4*q - 4*q.\nAnswer: 18*q","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -77012*z - 76170*z + 149689*z.\nAnswer: -3493*z","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let t(o) be the first derivative of -o**3\/6 + o**2\/2 + 81*o - 185. Let d(i) be the first derivative of t(i). Calculate d(6).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -76 times -11869?\nAnswer: 902044","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let n(r) = -r**3 + 55*r**2 - 85*r - 825. Let q be n(53). Suppose -70 + 22 = -2*v. What is the highest common factor of v and q?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: -0.1*-1804161\nAnswer: 180416.1","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let f be 8\/12 - 28\/6 - -8. Suppose -q - 14 = -10, f*q + 1231 = 5*p. What is the units digit of p?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -32 + 41. Suppose d = 5*c - 16. Solve 1 - c = -i for i.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 97\/11 at least 9?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1\/6, -5\/7, 0.2, 0.4, 0.5 in ascending order.\nAnswer: -5\/7, 1\/6, 0.2, 0.4, 0.5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let k(m) = m**3 + 17*m**2 - 29*m - 16. Let u be k(-16). Is -4 + -4 + u + 4 a multiple of 5?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -104.8 + 105. Which is the second biggest value? (a) 0 (b) f (c) -1\/12\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -5 divided by 1423?\nAnswer: -5\/1423","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Convert 1101001 (base 2) to base 6.\nAnswer: 253","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is -1 - -3362?\nAnswer: 3361","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 3\/25 of a millimeter in micrometers?\nAnswer: 120","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is -2\/49792853 not equal to 1?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there in 4\/21 of a week?\nAnswer: 1920","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:02 PM and 11:53 PM?\nAnswer: 51","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 644 to the power of 1\/2, to the nearest integer?\nAnswer: 25","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-6*2*sqrt(110)*-1*2)\/(3*(-1*sqrt(1440) - sqrt(1440)) + (2*(sqrt(1440)*-2 + sqrt(1440)) - sqrt(1440))).\nAnswer: -2*sqrt(11)\/9","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 1663829 + 18166300?\nAnswer: 19830129","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6 = 18*t - 12*t. Put 156, t, 5, 4 in ascending order.\nAnswer: t, 4, 5, 156","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of -1543495, -1543493, -1543491, -1543489, -1543487?\n\"Answer: 2*c - 1543497","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 228019536 is divided by 121.\nAnswer: 118","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-2)\/(-6) - 119\/(-1197) - (-712)\/(-3204).\nAnswer: 4\/19","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Round 5753.7 to the nearest 10.\nAnswer: 5750","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (12\/5)\/((-42)\/105). Let l(q) = -11*q - 20. Let i be l(r). Let z = i + -38. Calculate the remainder when 60 is divided by z.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(x) be the second derivative of -117*x**5\/20 + 53*x**2 - 4*x + 8. What is the derivative of m(b) wrt b?\nAnswer: -351*b**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify y**(-4)\/((y*y**(3\/4))\/y)*(y*y**(-8)*y*y*y)\/y**(2\/5) assuming y is positive.\nAnswer: y**(-183\/20)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {t: 3, a: 2, o: 9, w: 2}. What is prob of picking 2 a and 1 o?\nAnswer: 9\/560","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1612090.\nAnswer: 2, 5, 37, 4357","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Express (8 + 11*o**2 + 14 - o - 19)*(-2 + 3 + 2) + 3*o + 2*o**2 - 3*o + (3*o + 2*o - 3*o)*(0*o + 0*o + 2*o) as t + l*o**2 + k*o and give k.\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 928 and 58?\nAnswer: 58","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-196)\/294*45\/2.\nAnswer: -15","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 27944 to the nearest integer?\nAnswer: 30","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: -71836385+85634\nAnswer: -71750751","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) 13 (b) 0.3 (c) 0.1 (d) 1\/5\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 261 = 11*s + 371. Let j be -114*((-4)\/s + (-256)\/240). Is j less than or equal to 78?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of ((-63364)\/(-372))\/(5\/1110)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -5, 0.2, 1\/7, 6\/5, -13 in increasing order.\nAnswer: -13, -5, 1\/7, 0.2, 6\/5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let 3*q**3\/8 + 327*q**2\/8 - 1347*q\/8 + 1017\/8 = 0. What is q?\nAnswer: -113, 1, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let x(f) = f**2 - 2*f - 19. Let h be x(-3). Let n be ((-10)\/h + -1)*-4. What are the prime factors of (-48)\/n*((-27)\/(-2) - 2)?\nAnswer: 2, 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 7930026?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1081*r + 1043*r + 152 = 0 for r.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let r(u) be the first derivative of -3*u**4\/4 + 7*u**3 - 45*u**2\/2 + 27*u + 4. Let r(z) = 0. What is z?\nAnswer: 1, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -0.1 + -0.4. Let r = s - -0.3. Let y = 41\/14 - 10\/7. Put r, y, 5 in increasing order.\nAnswer: r, y, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*j - 2*a + 1180, -4*j - 4*a + 1758 = 182. Suppose 3*n = 6, 2*b - 4*n - j - 602 = 0. What is the tens digit of b?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of -2054, -8251, -18580, -33041?\n\"Answer: -2066*a**2 + a + 11","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Put -13, 5, -5, -1, 1 in ascending order.\nAnswer: -13, -5, -1, 1, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between -2 and 571.5?\nAnswer: 573.5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-1001)\/(-364)*(-20)\/12*15\/(-275).\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 36901 greater than 36903?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -2 + (-5*(sqrt(39)\/sqrt(3))**2 - (sqrt(91)*1)\/sqrt(7)) + 1.\nAnswer: -66 - sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ggg when three letters picked without replacement from {r: 1, q: 6, g: 4}.\nAnswer: 4\/165","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let s(y) = -y**3 + y**2 - 7*y + 8. Let j(q) = q**3 - 2*q**2 + 6*q - 8. Let u(i) = 6*j(i) + 5*s(i). What is u(7)?\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 954230662 to the power of 1\/8, to the nearest integer?\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*h + 4*h = 870. Suppose -3*i + h = 2*i. Is i a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of -3, -11, -23, -39, -59?\n\"Answer: -2*u**2 - 2*u + 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 182 and 98.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*m + 15 = 2*w - m, -4*m = 6*m - 9*m - 3 for w.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let h(q) be the second derivative of -q**4\/6 - 5*q**3\/2 + 3*q**2 - q. Let x = 598 + -605. What is the units digit of h(x)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-27 - -1) + 6 + -5 + 7?\nAnswer: -18","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -9 = 4*n - 53. Suppose l = 2*l + 4*p - 104, 5*l = -2*p + 448. Calculate the greatest common divisor of l and n.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 4142233 (base 5) in base 8?\nAnswer: 205533","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 64 = -2*h + 68. Let m be (3 - (5 - 0)) + (4 - h). Solve 5*d + 50 = -5*u, m*d = 3*u - 3*d for u.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: 90636092 divided by 2\nAnswer: 45318046","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: (1 + -1 - -1) + -2\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 13541 to the nearest integer?\nAnswer: 24","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -16*a + f - 6149 = -14*a, 5*a + 15375 = 5*f. Round a to the nearest one thousand.\nAnswer: -3000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 35470651 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let p(a) = -18*a - 5. Let f(u) = -42*u - 3. Let t(v) = -171*v - 8. Let z(l) = -9*f(l) + 2*t(l). Give 7*p(d) + 3*z(d).\nAnswer: -18*d - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Express -202*i**2 - 1 - i + 99*i**2 - 8*i**3 + 101*i**2 in the form d*i**2 + l*i + o + t*i**3 and give l.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence zy when two letters picked without replacement from yyyyyyyfyyyyzyy.\nAnswer: 13\/210","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 5*z - 13 - 12. Suppose -8 = -z*m - 2*a, -5*m + 14 - 3 = -a. Solve -1 = -g - n, 0 = -m*g - 5*n + 1 + 10 for g.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 19\/2 and 339\/(-252)*-4 + (-4)\/6?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -8*z + 3*z + 15. Suppose 0 = -z*k - 3*j + 27, -4*k + 30 = j - 0*j. Let b(q) = -q**2 + 6*q + 29*q**2 - 48*q**2 + 6 + 19*q**2. Calculate b(k).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 29485 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-12*x**2 + 4*x**3 + 12*x**2)*(-1 - 4 - x + 6).\nAnswer: -4*x**4 + 4*x**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: -33 (base 8) to base 14\nAnswer: -1d","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 2*x**4 + 44298*x**2 - x - 1799 wrt x?\nAnswer: 24*x**2 + 88596","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: -0.02142 + -235041271\nAnswer: -235041271.02142","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -14 + -64 + 31 - (77\/55)\/((-3)\/(-15)).\nAnswer: -54","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {a: 4, p: 3, r: 4, w: 2, d: 1, n: 1}. Give prob of picking 1 w, 1 r, and 1 n.\nAnswer: 8\/455","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let z be -69*((-32)\/(-3))\/(-4). What is the greatest common divisor of 23 and z?\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose h - 13 - 57 = -3*k, 0 = 4*k - h - 98. Let s be ((-2)\/(-4))\/((-4)\/k). Let v(n) be the third derivative of n**4\/24 + n**3\/6 - 30*n**2. Calculate v(s).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(h) = 1. Let j(r) = -26*r**2 + 16. Let q(u) = j(u) + p(u). Differentiate q(t) wrt t.\nAnswer: -52*t","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 3162661 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 106, 219, 332, 445, 558, 671?\nAnswer: 784","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 16352644487 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -1? (a) -1\/4 (b) 1\/3 (c) 0.1 (d) 0\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Does 52 divide 3544?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let c(q) = q**2 + 6*q + 3. Let y be c(-4). Let b = 50 - 19. Suppose 11 = -5*m + b. Put m, y, -2 in decreasing order.\nAnswer: m, -2, y","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 14091*t + 14097*t - 28236*t + 624 = 0 for t.\nAnswer: 13","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is -1 + (0 - -2) - 6?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 49872?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((((sqrt(110)*1)\/sqrt(2))\/(3*(sqrt(20)\/sqrt(4) + sqrt(5))))**2 + 5)*6.\nAnswer: 191\/6","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 104353 + 96393 = -189*d - 2017*d for d.\nAnswer: -91","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {u: 2, i: 3, b: 2, e: 1, w: 1}. What is prob of sequence iwi?\nAnswer: 1\/84","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_test"},"subset":"dm_maths"} +{"text":"Question: Let u(o) = o**3 + 14*o**2 + 2*o - 24. Give u(-13).\nAnswer: 119","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (-5 + (-112)\/(-24))\/(2\/(-6)). Let t(g) = 22*g**2 - 19*g + 3. Calculate the remainder when 2\/4 - 53\/(-2) is divided by t(i).\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s be 11 + (0 - 112\/8). Let r(w) = 9*w**3 + 11*w**2 - 2*w + 17. Let f(c) = 8*c**3 + 10*c**2 - c + 16. Let j(p) = -5*f(p) + 4*r(p). Is j(s) a multiple of 8?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Total of 43 and 875982.\nAnswer: 876025","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 100 + -69. What is the tens digit of h?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (4 - 3 - 2)*(-4 - q + 4) + 36*q - 17*q - 2 - 26*q.\nAnswer: -6*q - 2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 51035069 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1581*g - 14150 = -166*g for g.\nAnswer: -10","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let j(f) = 3*f**2 + 9*f - 2. Let z(k) = k**2 + 4*k - 1. Let s(n) = -2*j(n) + 5*z(n). Let c be s(1). Let b = 0 - c. Sort b, -1, 2 in ascending order.\nAnswer: -1, b, 2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 395598 is divided by 524.\nAnswer: 502","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -80*t - 401658 = -1884778. Is t prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*w = 3*l - 8, -4*l - 3*w + 8 = 1 for l.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:47 PM and 1:14 AM?\nAnswer: 687","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let c(z) = 5*z**3 - z**2 - z + 1. Let o be c(1). Let n(g) = -g - 2*g**2 + 1 - 7*g**3 + 2*g + g**2. Let p be n(-1). Solve k - p = o*k for k.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(g) = 28*g**2 + 1789*g - 203. Calculate v(-64).\nAnswer: -11","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence jg when two letters picked without replacement from {t: 1, j: 1, g: 2, w: 3}?\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -19*t**2 - 3*t**3 - 4*t**3 + 0*t**3 - t - 19*t**2 + 39*t**2 to j + y*t**2 + x*t**3 + p*t and give x.\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let u be 0\/(4 - 30\/6). Suppose u = 17*t - 44 - 432. Which is greater: t or 23?\nAnswer: t","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(v) be the third derivative of -v**6\/120 + v**5\/12 - v**4\/6 - 7*v**2. Suppose 0 = 3*g - g - 6. Calculate x(g).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 23 = 5*u + 4*y, -2*y + 7 = u - 0. Suppose l + 6 = -u. What is the lowest common multiple of 9 and 6\/l + 12*(-8)\/(-9)?\nAnswer: 90","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 175\/94 or -4.6137?\nAnswer: 175\/94","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is 0 greater than 8\/116401371?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let p(q) = 7*q**2 + 637*q + 5569. Give p(-81).\nAnswer: -101","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from ppppppppuupppuupppp. What is prob of picking 1 u and 2 p?\nAnswer: 140\/323","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-q**2 + 1 - 1 + (-q + 3 - 3)*(-3*q + 3*q - 2*q) - 2*q**2 + 2*q**2 + 2*q**2 + 3*q**2 - q**2 + 0*q**2)*(-3*q**2 - 21 + 23 + q**2).\nAnswer: -10*q**4 + 10*q**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: How many hours are there in 5977.2321ns?\nAnswer: 0.00000000166034225","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 467267 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 35391 is divided by 199?\nAnswer: 168","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: How many millimeters are there in 1\/10 of a centimeter?\nAnswer: 1","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -91933.1 - -91933. Let d = -2 + 1.94. What is the closest to j in -13, d, -1?\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in -29, -5, 20, -10\/51?\nAnswer: -29","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) -8 (b) 9 (c) 2.7\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -16*b**4*z**2 - 157*b**4*z - 529*b*z + b - 4*z**2 + 2*z wrt b?\nAnswer: -192*b**2*z**2 - 1884*b**2*z","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is -17 - 8?\nAnswer: -26","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 8365 + -6249. What is the greatest common factor of m and 8?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5312 + 1361 = -337*h + 11551 for h.\nAnswer: 46","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1, -3, 92813, 0 in decreasing order.\nAnswer: 92813, 0, -1, -3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 3982 and 20957266.\nAnswer: 20957266","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 697?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 m and 1 q when two letters picked without replacement from {m: 2, d: 4, o: 6, q: 1, w: 7}?\nAnswer: 1\/95","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -0.05 - -4.05. Let v = f - 3.5. What is the third biggest value in v, 1\/3, -0.5?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1146901253 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -25 - -24.7. Which is the biggest value? (a) 0.3 (b) y (c) -0.1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 4 - 4. Sort l, -5, -8 in ascending order.\nAnswer: -8, -5, l","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {i: 2, v: 2, r: 2, j: 5, y: 1, x: 1}. Give prob of sequence rv.\nAnswer: 1\/39","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Add together -97 and 0.3.\nAnswer: -96.7","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*r + 5*w + 4073 = 0, -3*r + 2299 = 4*w - 1792. Is ((-2 - -6) + -3)*r a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2 = 5*k - 6*k. List the prime factors of k.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(v) = 7*v + 1 + 0 - 2 + 0. List the prime factors of p(3).\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {p: 6, q: 1, t: 5, b: 1, e: 3, s: 1}. Give prob of picking 1 b and 1 t.\nAnswer: 5\/136","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) -0.4 (b) 0 (c) 2\/111 (d) -4\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let b(o) be the first derivative of 2*o**2 - 7\/20*o**5 - 1\/4*o**4 + 0*o**3 - 3 + 0*o. Let r(x) be the second derivative of b(x). Factor r(y).\nAnswer: -3*y*(7*y + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-1)\/(2\/24)*(-4)\/6?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 74048759 and 1041.\nAnswer: 347","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 1406170 (base 9) in base 11?\nAnswer: 48814a","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let j(r) = 57*r**2 - 263*r - 2. Give j(5).\nAnswer: 108","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*r + s = -13, -5*s + 4 = -6. Suppose k + r*k = k. What are the prime factors of (35\/20 + (-2 - k))*-604?\nAnswer: 151","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-217)\/(-2604))\/(((-1)\/6)\/((-78)\/(-312)))?\nAnswer: -1\/8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-28)\/(-77)*((-15)\/6)\/(-5))\/1.\nAnswer: 2\/11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let l(s) be the third derivative of s**9\/60480 + s**8\/26880 + s**4\/24 + 2*s**2. Let g(i) be the second derivative of l(i). Factor g(q).\nAnswer: q**3*(q + 1)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (3\/15)\/((-4)\/8)*30\/2.\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 153, 565, 1251, 2211?\nAnswer: 3445","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 5885 a multiple of 13?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Convert 4b (base 15) to base 10.\nAnswer: 71","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 13*g**2 - 3*g - 21913?\nAnswer: 26*g - 3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) 2.06 (b) 0 (c) 4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in a**2 - 3*a**2 + 41*a**3 + 2*a**2.\nAnswer: 41*a**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) 4 (b) -4 (c) -0.128 (d) 0.1 (e) -0.1\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let y(n) = n - 1. Let m be y(1). Let t(u) = u**3 - u**2 - u. Let z be t(m). Suppose 0 = -z*c + c - 2. Solve -c*w = -3*w - 3 for w.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -57 + 61. Suppose -3*q = 3*m - 27, -o*m - q = -21 - 0. Let v be (-2 + 5 - 8)*m\/(-5). Solve 3*g + 7 = -2*t, -v*t = -8*t + 16 for g.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 859799446?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Does 8 divide 280?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let i(l) = -l**3 - 130*l**2 + 267*l + 396. Let k be i(-132). Sort -3, 24, 2, 7, k in ascending order.\nAnswer: -3, k, 2, 7, 24","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-1*1020\/18)\/((-13)\/((-390)\/(-25))).\nAnswer: 68","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 39406 and 5627.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Put -50.4, -5, -0.04, 1 in descending order.\nAnswer: 1, -0.04, -5, -50.4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence hnnt when four letters picked without replacement from {h: 6, t: 4, n: 4}?\nAnswer: 12\/1001","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 16656?\nAnswer: 2, 3, 347","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let a(d) = -d**2 - 10*d. Let n be a(-9). Suppose 64 = -z + n*z. Suppose z*o - 77 = 1107. What is the hundreds digit of o?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -208 = -m - 3*m. Let g(p) = -p + 33. Calculate the smallest common multiple of g(17) and m.\nAnswer: 208","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -16*t = -13*t - 474. Let z = -146 + t. Calculate the greatest common divisor of z and 156.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -61677 or -61778?\nAnswer: -61778","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) -22.4 (b) -115 (c) 3 (d) -10\/7 (e) 0.4 (f) 4\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -195 - -198. Which is the closest to 1\/3? (a) v (b) -2 (c) -0.5 (d) -0.4\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 194 + -193.7. Is p at most as big as 34?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}