diff --git "a/data/dm_maths/full_data_2/1517_11255.jsonl" "b/data/dm_maths/full_data_2/1517_11255.jsonl" new file mode 100644--- /dev/null +++ "b/data/dm_maths/full_data_2/1517_11255.jsonl" @@ -0,0 +1,10000 @@ +{"text":"Question: Suppose 262 = v - 551. Does 5 divide v?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -9 = 3*p - 0*p, 3*c - 5*p - 15 = 0 for c.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -4.1 - -12.5. Let d = l - 4.4. Let f = d + -6. Put f, 0.2, 5, 0.5 in descending order.\nAnswer: 5, 0.5, 0.2, f","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from mhhffhhhrfhbhbhhmbrh. Give prob of picking 3 b.\nAnswer: 1\/1140","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Convert 9.517043 decades to months.\nAnswer: 1142.04516","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in -285, 0.5, -79?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 143 - 128. Suppose 17*l = h*l + 10. Solve -v - l = 3*s + 1, 3*v + 4*s = -3 for v.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 49361322 a multiple of 862?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Are 371 and 6326\/17 equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 141709 to the power of 1\/3, to the nearest integer?\nAnswer: 52","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in -1\/8, -1, 14, 173512?\nAnswer: 173512","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let l(i) = 406*i**2 - 2*i**3 - 405*i**2 + 19 - 7 - 13 + 3*i**3. Let u(k) = 2*k**3 + 6*k**2 + k - 3. Calculate -3*l(g) + u(g).\nAnswer: -g**3 + 3*g**2 + g","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let f(s) = 116*s**4 + 591*s**3 - 12321*s**2. Let q(h) = 67*h**4 + 296*h**3 - 6160*h**2. Let m(i) = 4*f(i) - 7*q(i). Find the third derivative of m(n) wrt n.\nAnswer: -120*n + 1752","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 60 a factor of 2220?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Product of 145.34907 and 0.7.\nAnswer: 101.744349","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Expand 2*k - 3*k - k + k - 2*k - k + (-2 + 2 + 2)*(-34*k + 12134 - 12134).\nAnswer: -72*k","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Work out -0.353932592 + 0.3.\nAnswer: -0.053932592","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is 8345 + -15?\nAnswer: 8330","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let d(i) be the third derivative of 7*i**6\/30 + i**5\/30 + 16*i**3 - 48*i**2. What is the first derivative of d(p) wrt p?\nAnswer: 84*p**2 + 4*p","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(a) = -a**2 + a + 3. Let z be p(0). Suppose 2*g - 5*k - 79 = 0, z*g = 6*g - k - 86. Is 9 a factor of g?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -30, -2, -3 in descending order.\nAnswer: -2, -3, -30","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -6113*a + 3070*a + 3061*a + 236.\nAnswer: 18*a + 236","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 19980.\nAnswer: 2, 3, 5, 37","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let k(m) = 3*m**2 - 113*m - 64. Calculate the remainder when 446 is divided by k(39).\nAnswer: 78","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 82 + -84. Let u(t) = t**3 + 2*t**2 - 2. Calculate u(a).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many hours are there in fourty-three sixths of a week?\nAnswer: 1204","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*w - 4*w + 5*h = -202, 4*w - 3*h = -404. Let g = 349 + w. Calculate the highest common factor of g and 93.\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -2544 - -2540. Which is the second smallest value? (a) 0.3 (b) -0.041 (c) j (d) -2\/3\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is 4 - 3cd?\nAnswer: -3c9","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 77.2 - -17.8. Let w = 95.3 - n. Let y = 20 - 24. What is the third smallest value in y, 11, w?\nAnswer: 11","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 4276 - 2059. Is v a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*b + 90 = -0*b. Let h be 2\/(4\/b*-3). Solve f + h*f = -16 for f.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 555.\nAnswer: 3, 5, 37","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 98 minutes before 6:11 AM?\nAnswer: 4:33 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let y(o) = -o + 1. Let q(s) = 9. Let l(w) = -18*w - 89. Let b be l(-5). What is b*q(c) - 2*y(c)?\nAnswer: 2*c + 7","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 2\/5? (a) 4 (b) 5 (c) -2\/109 (d) -5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3312 + 4263 - 3357)*(-4*b + 0*b + b).\nAnswer: -12654*b","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth biggest value in 1\/18, 26\/15, 0.1, 4, -5, -3?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is (((-975)\/364)\/25)\/(9\/(-24))?\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -1357 - -1366. Let g(z) = z**2 + z. Let n be g(-2). Solve -n*q - l = q for q.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.10986 rounded to 3 dps?\nAnswer: -0.11","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence mm when two letters picked without replacement from plemmoo.\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1, 76, 5 in decreasing order.\nAnswer: 76, 5, 1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let v(p) = -p**3 + 6*p**2 - 3*p + 6. Let l be v(6). What is the tens digit of (-117)\/l + (-2)\/(-8)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 6, 15984, 18.\nAnswer: 6, 18, 15984","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Expand (1 - 2 - 1)*(5 - 2*t - 5) - 2*t + 0*t + t - 16*t + 9 + 9 - 17.\nAnswer: -13*t + 1","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*q**2 - 7*q + 7*q)*(q + q + q)*(1 - 1 + 1).\nAnswer: 6*q**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {z: 16, g: 4}. Give prob of picking 1 z and 1 g.\nAnswer: 32\/95","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 11041 (base 5) in base 12?\nAnswer: 543","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Factor 0 - 2\/19*k**2 + 386\/19*k.\nAnswer: -2*k*(k - 193)\/19","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 27440490 and 43904784.\nAnswer: 219523920","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (-132)\/(-9)*(-27)\/(-36). Calculate the highest common factor of 8 and r.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of -1287, -6665, -16129, -29673, -47291?\n\"Answer: g**3 - 2049*g**2 + 762*g - 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 89 minutes after 6:57 PM?\nAnswer: 8:26 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 25 - -17. Let t be ((-26)\/4)\/((-7)\/r). Suppose -2*f = -5*f + t. What is the units digit of f?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -j - 8 = -2*s, 0 = -2*s - 3*j + 16. Suppose -w - 13 = -r, 11 = -2*w + 3*w + s*r. Does 12 divide ((-12)\/5)\/(w\/270)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 175 minutes after 8:14 PM?\nAnswer: 11:09 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of 46, 37, 24, 7, -14?\n\"Answer: -2*q**2 - 3*q + 51","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let l(o) = 37 - 24*o - 12*o**2 + 2*o**2 - 44 + o**3. Is l(18) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of -71756, -573931, -1936938, -4591193, -8967112, -15495111, -24605606?\n\"Answer: -71736*j**3 - 23*j + 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 2\/601 >= -42551?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (77\/(-143)*68497\/(-1437))\/((-1)\/((-6)\/7))?\nAnswer: 22","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 16 + 30 - 3*t + t + t.\nAnswer: -t + 46","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((q**(-2\/3)\/(((q*q*q\/q**1*q)\/q)\/q))\/((q\/(q*q**(-1\/6)*q))\/q*q*q*q**(1\/3)))\/(q**(-1\/2)\/q**5*q*q\/q**(2\/11)*((q**(-1)\/q)\/q)\/q) assuming q is positive.\nAnswer: q**(182\/33)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_test"},"subset":"dm_maths"} +{"text":"Question: 9142977 divided by 3\nAnswer: 3047659","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 38893650 divided by -1149?\nAnswer: -33850","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*w = 4*h + 16, 6*w - w = -2*h + 27 for h.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let n(x) = -3*x + 9*x**3 - 2 - 8*x**2 + 4*x + 5*x - 10*x**3. List the prime factors of n(-9).\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 114144120 (base 5) to base 16.\nAnswer: 83342","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Expand 2*s + 2*s**3 - 2*s**4 - 2*s + (0*s + 0*s + 2*s**2)*(2*s**2 - 2*s**2 + 6*s**2) + 3*s**4 + 3*s**4 - 3*s**4 + 0*s**3 + 0*s**3 - s**4.\nAnswer: 12*s**4 + 2*s**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -1.465834 + 0.665837. Let y = 0.032 - 0.832. Let s = z - y. Round s to 5 dps.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 271 - -25. Is (-1)\/(-3) - q\/(-3) a multiple of 25?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 4603023421 to the power of 1\/6, to the nearest integer?\nAnswer: 41","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let f(r) = -r**3 - 3*r**2 + 11*r + 6. Let o be f(-5). What is the closest to 0.39 in o, 3, -3?\nAnswer: o","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1664207705 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-20)\/8 - 2)\/(-6)?\nAnswer: 3\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(u) = -29*u - 117. Give l(-4).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 36 + -29 + 35 - 20?\nAnswer: 22","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2698145416?\nAnswer: 2, 337268177","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let a(n) = -2*n**3 + 5*n**2 + 3. Let h = 8 + -7. Let d(j) = j**2. Calculate h*a(k) - 5*d(k).\nAnswer: -2*k**3 + 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let i be -1 - 66\/(3 - (2 + 2)). Let z = 40 - i. Let y = z + 44. What is the tens digit of y?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.0000487316098 to 6 dps.\nAnswer: 0.000049","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let z(i) = -9*i. Let n(v) = -7*v. Suppose -31 = -3*q - 22. Let f(d) = 20*d. Let j(w) = q*f(w) + 8*n(w). What is z(j(o))?\nAnswer: -36*o","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Convert 150150 (base 6) to base 9.\nAnswer: 21573","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Divide -40 by 17784.\nAnswer: -5\/2223","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -1686 + 1677.1. Which is the nearest to 1? (a) -2 (b) y (c) 1\/6\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -23 + ((-76080)\/(-104))\/30?\nAnswer: 18\/13","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) -1351 (b) -40 (c) -15\/44 (d) 3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1075555 is divided by 93?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_test"},"subset":"dm_maths"} +{"text":"Question: Let j = 3 + -3. Let c(h) = 3*h**2 + j*h**2 - 2*h**2. Let w(l) = 2*l**2 + 1 - 1. Determine w(c(f)).\nAnswer: 2*f**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 1017254 to the power of 1\/2, to the nearest integer?\nAnswer: 1009","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 11834058?\nAnswer: 2, 3, 1972343","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -17\/11 and -79\/412125?\nAnswer: 4533375","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let b(f) = -f. Let y(r) = 23*r + 2 + r**2 + 12 - 16*r - 4 - 10*r. Give 3*b(a) - y(a).\nAnswer: -a**2 - 10","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*i - 8 = 42. Let g(c) = -c**2 - 14*c - 14. Let t(f) = -7*f - 7. Let u(n) = -2*g(n) + 5*t(n). Is u(i) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((sqrt(85) - sqrt(85)*-1)*-4 - (sqrt(85) + sqrt(85) + sqrt(85)*1*-3 + sqrt(85)))\/(sqrt(20) + 3*sqrt(80)))**2.\nAnswer: 272\/49","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 2\/25? (a) 1 (b) -21\/29 (c) -1\/5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 1244806 - 11250181\/9. Let u = t - -5221. Calculate the common denominator of u and 13\/96.\nAnswer: 288","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 402 minutes after 1:41 AM?\nAnswer: 8:23 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let n(h) = 13*h**3 + 7*h**2 - 7*h - 5. Let s(k) = -6*k**3 - 3*k**2 + 3*k + 2. Suppose -5*y + 0*y = q - 15, -5*y + 4*q = -15. Give y*n(j) + 7*s(j).\nAnswer: -3*j**3 - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 193229?\nAnswer: 199, 971","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let i be 1\/(-2) + (-30)\/(-12). Let w(f) be the first derivative of 2*f**2 + 2. Determine w(i).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(d) = -8*d - 3. Let w be u(-1). Calculate the greatest common factor of 45 and w.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 49675.969 rounded to the nearest 10?\nAnswer: 49680","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is -1052012 divided by -4?\nAnswer: 263003","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -14095*g**5 + g**4 - 1448*g**3 + g**2 + 138912117?\nAnswer: -845700*g**2 + 24*g - 8688","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*m = 4*j - 2, -9 = 2*m - 5*j - 3. Solve -8 = m*q + 5*x, 0*x = -5*x for q.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 78112799?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let p(y) = 24*y**3 - y**2 + 8*y - 7. Suppose 11 = -t + f + 2*f, 2*t + 3*f = 14. Does 6 divide p(t)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 173490 is divided by 56348?\nAnswer: 4446","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from onxoonosooso. Give prob of sequence os.\nAnswer: 7\/66","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -77.2 - -77.1. Are j and -8 nonequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 11 + -8 + -12 + 6 + -1?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -16\/9 and 6 + -9 - (-149)\/10.\nAnswer: 90","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) 3 (b) 6417 (c) -10730\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -11 - -6. Let q = 168.5 - 165.5. Which is the biggest value? (a) q (b) 3\/17 (c) m\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -36*k**2 + 36*k**2 - 39*k**3.\nAnswer: -39*k**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: How many microseconds are there in 953.1225 seconds?\nAnswer: 953122500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is 220203 - -133?\nAnswer: 221002","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: (9\/(-20))\/(1346\/(-20) + 74 + (-4)\/40)\nAnswer: -3\/44","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Express 587*t + 6*t**2 + 86 - 93 - 586*t as r*t**2 + z + w*t and give r.\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: How many micrometers are there in 754441.2km?\nAnswer: 754441200000000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let q(b) = b**3 - 3*b**2 - b - 2. Let m be q(2). Calculate the remainder when (-698)\/(-26) - (m\/52 + 0) is divided by 14.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(g) = -21*g + 24*g + 8 + 11. Let c be p(-8). Is (-7245)\/(-75) + (-2)\/c a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: 112 * -191\nAnswer: -21392","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1138267.\nAnswer: 13, 87559","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let o(g) = g**3 + 18*g**2 - g + 14. What is o(-18)?\nAnswer: 32","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: -43705 divided by 3\nAnswer: -43705\/3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 14 minus 3391987?\nAnswer: -3391973","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -44131\/710 or -63?\nAnswer: -63","meta":{"dup_signals":{},"source":"comparison__pair_test"},"subset":"dm_maths"} +{"text":"Question: Let t(f) = 2*f - 11. Let z be t(5). Let k = z + 6. What is the second derivative of 27*p**5 - 16*p**k + p**3 + 33*p - p**3 wrt p?\nAnswer: 220*p**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is -1040343 - -4?\nAnswer: -1040335","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -30734 or -16959?\nAnswer: -16959","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let f(o) = -o + 8. Let b be f(-3). Suppose -b*t + 32615 = -0*t. Is t prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(r) be the second derivative of 2*r**6\/15 + r**5 + 3*r**4 + 14*r**3\/3 + 4*r**2 - 6*r. Factor m(c).\nAnswer: 4*(c + 1)**3*(c + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1257806269 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let u(s) = -s**2 + 9*s + 1. Let f be u(8). Suppose -3 - f = -3*x. Let l = -9 - -13. What is the least common multiple of l and x?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is -311 + -23?\nAnswer: -334","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8*q = -604 - 484. Let n = -96 + q. Let l be n\/6 - 7\/(-21). What is the highest common factor of 7 and l?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 8467.947l?\nAnswer: 8467947","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 28288\/387 - 3124\/43. Factor 0 + 8\/9*u**2 + 4\/9*u**3 + m*u.\nAnswer: 4*u*(u + 1)**2\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(440)\/sqrt(44))\/sqrt(8)*-3 + -1.\nAnswer: -3*sqrt(5)\/2 - 1","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 z and 1 c when two letters picked without replacement from mmmccizczmfmicim.\nAnswer: 1\/15","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 5.7 + -0.5. Let k = v + -4.9. Which is the third smallest value? (a) k (b) -3\/2 (c) 13\/3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -1\/12 - -1\/3. Let c = -17 + 3. Let r be 2\/(-4) + c\/(-4). Sort z, r, 5 in decreasing order.\nAnswer: 5, r, z","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3*h + 0*h + 9*h)*(21 - 3*h**2 - 21) + h**3 + 4*h**3 - h**3.\nAnswer: -14*h**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: -0.4+-180662\nAnswer: -180662.4","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 65\/6 and 43\/70.\nAnswer: 210","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Add together 2 and -0.011352.\nAnswer: 1.988648","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let f(p) = -246*p - 34722. Let y(c) = -15*c - 2171. Calculate 2*f(k) - 33*y(k).\nAnswer: 3*k + 2199","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-4*sqrt(720))**2*2.\nAnswer: 23040","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Does 44 divide 28046964?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*c - 7 = 3*q, -2*q + c + 9 = -3*q. Does 11 divide (-111)\/(-4)*q\/(90\/(-48))?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: -30.44*-7.1\nAnswer: 216.124","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*p + 808 = 4*i, 16*i = 12*i + 4*p + 808. What is the remainder when 8279 is divided by i?\nAnswer: 199","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 21 - 205 - 644 + 211*u**2 + 15333*u - 826*u**2 - 21*u**3 - 18405*u.\nAnswer: -3*(u + 6)*(u + 23)*(7*u + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: 1.6 * -6046.1\nAnswer: -9673.76","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ii when two letters picked without replacement from {r: 3, i: 2, w: 1, f: 1, b: 3}?\nAnswer: 1\/45","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose m - 1660 = 229. Is m a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*i + 6*i - 5*u = -10, 9*i + 3408 = -u + 3410 for i.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is -2*1*114\/3420*-645?\nAnswer: 43","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*f = -2, -3*c + 95 - 27 = -f. Solve 4 = c*m - 25*m for m.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(n) = 3*n + 295. Give l(-44).\nAnswer: 163","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (v\/(v*v**(-5)*v)*v**15)**37 assuming v is positive.\nAnswer: v**703","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 723 + 724 = -15*g + 1402. Let f = -2 + 2. Let d(h) = -h**2 - 2*h + 4 - h**3 + f - 4*h**2. Determine d(g).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {t: 7, c: 2}. What is prob of sequence tctc?\nAnswer: 1\/36","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -5? (a) -1 (b) -6\/23 (c) -73\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 13271?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 2574 and 66?\nAnswer: 66","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let j(w) = w**3 + 10*w**2 + 17*w + 11. Let i be j(-8). Suppose -5*z + 12 + i = 0. Find the third derivative of -g - z*g**2 + g + 10*g**4 wrt g.\nAnswer: 240*g","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 436879 to the nearest integer?\nAnswer: 76","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 1466 + -952. What is the tens digit of u?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 436573705 a multiple of 5603?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:47 AM and 2:12 PM?\nAnswer: 445","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -14 - ((-29 - -13) + 7).\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: -0.10881*46.02\nAnswer: -5.0074362","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 63 + -71. Let p(c) = -c**3 - 9*c**2 - 10*c + 4. Let b be p(j). Solve 2*s - b = 6*s for s.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -26, 68, 7, -472.\nAnswer: -472, -26, 7, 68","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is 45164384981 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((f\/f**(4\/5))\/((f*(f*f*f*f**8\/f)\/f)\/f))**0 assuming f is positive.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Express -5*f + 2 + 9 + 2*f**4 - 7 + 41*f**2 - 4*f**4 + 33*f**2 in the form c + s*f**2 + p*f**3 + l*f**4 + v*f and give c.\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 e when two letters picked without replacement from {e: 14, j: 4}.\nAnswer: 91\/153","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 24703410.\nAnswer: 2, 3, 5, 823447","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 941.3 - 941. What is the nearest to -1.7 in -1, f, 4?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-5*(-4 + sqrt(833)*-3 + -5 + -3))**2.\nAnswer: 12600*sqrt(17) + 191025","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.09308564 to 2 dps.\nAnswer: -0.09","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Round 24003.3229 to the nearest ten.\nAnswer: 24000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is (18\/(-72))\/((-2)\/(-40))?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0.878607 + -15331.\nAnswer: -15330.121393","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 51861 is divided by 17066?\nAnswer: 663","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 3220102?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in 1, 2, 7.22, 1.7, 200?\nAnswer: 200","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: 1708 (base 10) to base 6\nAnswer: 11524","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -15 + 3. Let k = r + 30. List the prime factors of k.\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 12 + 8 + (-15 - -3)?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let l(o) = o - 2. Suppose x = 2*x - 3, -x + 11 = 4*g. Let u be l(g). Let y be (-2)\/7*(-2)\/(-4). Which is the nearest to u? (a) -0.3 (b) 5 (c) y\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 6463110 and 31669239.\nAnswer: 316692390","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 1 + 1. Let x(r) = r + 7. Let v be x(-5). Let h(f) = 2*f**v - f - 6*f**2 + 5*f**2 + 2. Give h(q).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*r - 2*b + 74 = 0, -b - 3*b = 4*r - 64. Let g be (-4)\/14 + (-486)\/r. Let j = g + 61. Is j composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-6 + 0 - 2)*(0 - 7*l**3 - 2*l**3 + 1) to c*l**3 + z + h*l + w*l**2 and give c.\nAnswer: 72","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 107, 69, 29, -13, -57, -103, -151?\nAnswer: -201","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Put -1143, 2, 1 in descending order.\nAnswer: 2, 1, -1143","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 2187, 3773, 5359?\nAnswer: 6945","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -11.3 + 12. Let q = -1.3 - i. Which is the third smallest value? (a) q (b) 2 (c) 1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (r + r + 5*r)*(10 + 15 - 4) in the form i + u*r and give u.\nAnswer: 147","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(2299) - -4*-2*sqrt(2299).\nAnswer: -77*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let n(h) = h**2 - 2*h + 10. What is n(7)?\nAnswer: 45","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let k(m) = -7*m - 56. Let n be k(-8). Which is bigger: -5\/24 or n?\nAnswer: n","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -0.2, -1\/6, -21.14, 680 in ascending order.\nAnswer: -21.14, -0.2, -1\/6, 680","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let n(t) = 4*t**2 - 9*t + 15. Let v be n(6). Let z(j) = -j + 54 + 52 - v. Let m(u) = -5*u**2 - 3*u + 5. Determine m(y) - 3*z(y).\nAnswer: -5*y**2 + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Work out 42.523 - 654882.\nAnswer: -654839.477","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is 28010993 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is 60439163 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of 389, 789, 1175, 1541, 1881?\n\"Answer: -i**3 - i**2 + 410*i - 19","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let p(v) = 7*v. Let s be p(4). Suppose 3*h + 4*h - s = 0. Suppose 4*r - 2*x = 148 + 84, x = -h*r + 220. What are the prime factors of r?\nAnswer: 2, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(24) + (sqrt(240)*2)\/sqrt(10) - 3*sqrt(1536))\/(sqrt(12) + sqrt(24)\/(sqrt(4)\/sqrt(2)) + (sqrt(72)\/sqrt(6)*-3 - sqrt(12))).\nAnswer: 21*sqrt(2)\/2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is 8 a factor of 1192?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let 2*d**3 - 1738432*d**2 + 6953672*d + 20861088 = 0. What is d?\nAnswer: -2, 6, 869212","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let n(a) = a**2 - 31*a - 151. Let m be n(44). Suppose 0 = -423*r + m*r + 4118. Is r prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 4442 a factor of 141602076?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is -23 + -1000132?\nAnswer: -1000221","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is -1378 - -803?\nAnswer: -475","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -t + 0*t = 3*g - 14953, -2*g + 9965 = -3*t. What are the prime factors of g?\nAnswer: 2, 7, 89","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(t) = t**2 - 13*t + 24. Let b be r(3). Let m be -9*2*b\/12. Let s(l) = -l**3 - l**2 + 3*l + 2. Let g be s(-3). Is m greater than or equal to g?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(m) = 10*m**2 - 2*m + 2. Let t be (-9)\/(-15) + (-65)\/25. Let c(f) = -11*f**2 + 3*f - 3. Give t*c(d) - 3*g(d).\nAnswer: -8*d**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve 158*s - 319*s + 373 + 432 = 0 for s.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let v(z) = 2 - z**3 - 4 - 2 - 2*z**2. Let u = -59 - -56. Calculate the remainder when 14 is divided by v(u).\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 828251 to the power of 1\/2, to the nearest integer?\nAnswer: 910","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let l(p) be the third derivative of 0 - 1\/15*p**5 + 0*p + 0*p**4 - 95*p**2 - 101\/120*p**6 - 1\/3*p**3. What is the third derivative of l(d) wrt d?\nAnswer: -606","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -139*k + 138*k - 4*j = -4, 4*k - 20 = -k + j for k.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -5737, -22940, -51605, -91726, -143297, -206312, -280765, -366650?\nAnswer: -463961","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Factor -4*o**2 - 3608*o - 813604.\nAnswer: -4*(o + 451)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 14 and 17420.\nAnswer: 121940","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 79051 to the power of 1\/2, to the nearest integer?\nAnswer: 281","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let z(x) = x**3 + 13*x**2 - 11*x - 2. List the prime factors of z(-13).\nAnswer: 3, 47","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -31 + 50. Let s(v) = -v**3 + 18*v**2 + 15*v + 78. Let p be s(l). Which is the smallest value? (a) -40\/3 (b) 0.2 (c) p\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in -2\/15, -0.3, 11590, 1.9?\nAnswer: -2\/15","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 11172139.\nAnswer: 11, 73, 13913","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*t - 13 = -s - 61, -2*t = -3*s - 39. Suppose -g - 3 = -5*o + t, -14 = -g - 3*o. Find a such that -15*a**4 + 13*a**4 + a**3 + 3*a**3 - 2*a**g = 0.\nAnswer: 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -1935, -1936, -1937, -1938, -1939?\nAnswer: -1940","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -3*m + 0*m**2 - 32186 - 3*m**2 + 2*m**2.\nAnswer: -m**2 - 3*m - 32186","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 64832 and 40.\nAnswer: 324160","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -23 - -40. Let i be m\/(-3) - 8\/(-12). Let v = -8.8 - -9. Which is the closest to -1\/3? (a) v (b) 3\/5 (c) i\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 126.5 - -20.5. Let o = 145.78 - m. Let t = -4.72 - o. Is t at least 1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*v = 5*r - 20, 22 = -r + 4*r - 2*v. Suppose 3*t + 1725 = r*t. What is the units digit of t?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (268\/5)\/((-238)\/(-1105)). Let d = 248 - z. Which is greater: -2 or d?\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -463*b + 448*b for b.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let g(s) be the second derivative of -2*s**3\/3 - 1746*s. Let k(y) = 0*y + 0*y - y. Let i(n) = 5*n. Let r(f) = i(f) + 6*k(f). Give g(r(x)).\nAnswer: 4*x","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 13*g - 12*g - 353000. What is g rounded to the nearest 10000?\nAnswer: 350000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*v - 5*k = -0*v + 494, 5*k = -3*v - 368. Let r = v + 262. Calculate the greatest common divisor of 17 and r.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 1463\/3 + -488. Let d be (1 + 0)\/1 - -7. Suppose 3*h + 2*x - d = 0, -2*h - 20 = -7*h - 5*x. Put 2, m, h in increasing order.\nAnswer: m, h, 2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 33 - 7*f**3 + 19 + 53*f**3 + 5*f**3 - 49.\nAnswer: 51*f**3 + 3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is 11 a factor of 2761?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 2? (a) -2\/5 (b) -3 (c) -136\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*l - 6 = 2. Let a(b) be the first derivative of 2*b**3\/3 + b**2\/2 + b + 1. Let r be a(-1). Is l less than or equal to r?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(c) = c**3 + 7*c**2 + 6*c - 5. Suppose 0*w - 16 = 4*w. Let p(n) = -n**2 - 6*n - 3. Let k be p(w). Suppose -4*g = k*m + 46, 2*m = 4*g - g. Give i(m).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 10*a - 55 = -25. Suppose -g + 1847 = -a*u, -4*g = -4*u + 2146 - 9502. Is g a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 154266308?\nAnswer: 2, 7, 229, 491","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let j(s) = s**2 + 4*s - 3. Let l be j(-5). Let z = 6 + l. Let o = 43 - 31. Solve -4*b - o = -z*b for b.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let -484*h**4\/9 + 46640*h**3\/3 - 1123600*h**2 = 0. Calculate h.\nAnswer: 0, 1590\/11","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -461.57545448 - -10.57525348. Let w = g + 451. What is w rounded to five dps?\nAnswer: -0.0002","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(k) = -351876*k + 20. Let d be q(-18). Suppose -7*n = -d - 9976212. Round n to the nearest one hundred thousand.\nAnswer: 2300000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d be 1 - (72\/(-16) - 2\/(-4)). Suppose -5*m + 0*r - 6 = 3*r, 3*r = 3*m - 6. Suppose 5*s - s - 1486 = -k, -d*s - k + 1857 = m. Is s a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 10*b**2*r**3 + 2*b**2*r**2 + 2*b - 5*r**3 - 20*r**2 wrt r.\nAnswer: 60*b**2 - 30","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 488 and 8?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 12571405 and 39510130.\nAnswer: 276570910","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let b(k) = 1. Let g(v) = -7. Let u(z) = 6*b(z) + g(z). Let t(h) = -h - 3. Let m(a) = -a**3 - 2*a**2 + 4*a + 6. Let l be m(-2). Calculate l*t(y) + 5*u(y).\nAnswer: 2*y + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 6344970 and 6.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-4*u + 2*u + u)*((1 - 1 + u)*(2*u**2 + u - u) - u**3 + 2*u**3 + u**3 - 3*u**2 + 3*u**2 + 2*u**3 - 3*u**3 - 4*u + 4*u).\nAnswer: -3*u**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: How many micrograms are there in 23\/8 of a milligram?\nAnswer: 2875","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 4733 is divided by 105?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 15925 is divided by 4?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -97, -97, -101, -109?\nAnswer: -121","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*r + 4 = -2. Let t(k) = -7*k**2 + k + 12*k**3 + 10*k**2 - 13*k**3. Let w be t(r). Solve 5*h + 8 = -4*x - 8, 0 = 3*h - w*x - 12 for h.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-2*sqrt(162) + sqrt(162))*6 + (sqrt(162) + 0 - sqrt(162)) + 2)**2.\nAnswer: -216*sqrt(2) + 5836","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Expand (1 + q - 1)*(q + 13*q - 2*q) + (2 - q - 2)*(-q + 0 + 0).\nAnswer: 13*q**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let u(z) = -465*z**2 + 8*z - 8. Let v be u(4). Let p be v\/34 - (1 + 1) - -3. Let n = p - -217. Which is smaller: 4\/13 or n?\nAnswer: n","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {s: 5, f: 4, l: 1}. What is prob of picking 2 f and 1 l?\nAnswer: 1\/20","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 33*t**2 - 11*t**2 - 8*t**2 + 2*t + 574*t**3 - 13*t**2 + t**2 to q*t + w + b*t**3 + v*t**2 and give v.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 7 - ((0 - -1) + 19 + -15 + 4)?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is -1187734783 less than 0.1?\nAnswer: 1187734783.1","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -3186 or 0.2?\nAnswer: -3186","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -82 + 78. Let b = m + 6. Let q(u) = -u**3 + 9*u**2 + u + 12. Let o be q(9). Solve 0*w - v = b*w + 13, -4*w = v + o for w.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 8\/25 of a litre?\nAnswer: 320","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (2 + -2 + sqrt(272) + sqrt(272) - 2*sqrt(272)*-3)**2 - (-4 + sqrt(272) + 2 - (-5 + -3*sqrt(272)))**2.\nAnswer: -96*sqrt(17) + 13047","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -12*a**5 - 969195*a**3 - a**2 + 1948733*a wrt a.\nAnswer: -720*a**2 - 5815170","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let u be ((-16)\/(-6))\/((-4)\/(-114)) + 2. Suppose -4*h + u - 58 = 0. Solve 21 = -3*g - c + h, -2 = 2*c for g.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(y) = 46*y**2 - 1290*y - 69. Give v(28).\nAnswer: -125","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3 = -4*x - 23 for x.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -60*m**2 - m**3 + 0*m**3 + 40*m**2.\nAnswer: -m**3 - 20*m**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is -202220221 - 11?\nAnswer: -202221002","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence mrm when three letters picked without replacement from mamra?\nAnswer: 1\/30","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: 76 times -1.3\nAnswer: -98.8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 61\/4 of a meter in centimeters?\nAnswer: 1525","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 5842718?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 761542, 1523087, 2284632, 3046177, 3807722, 4569267?\nAnswer: 5330812","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let o(s) = -s**3 - 6*s**2 - s + 1. Let n be o(-6). Let g(w) = -w**2 + 8*w - 3. Let v be g(n). Is v smaller than 2\/3?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:16 AM and 9:22 AM?\nAnswer: 126","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Expand (12*y**2 - 4*y**2 + 8 - 5*y**2)*(-y**3 + 7*y**3 + 4*y**3).\nAnswer: 30*y**5 + 80*y**3","meta":{"dup_signals":{},"source":"polynomials__expand_test"},"subset":"dm_maths"} +{"text":"Question: Factor 0*i + 2\/7*i**2 - 2\/7*i**3 + 0.\nAnswer: -2*i**2*(i - 1)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 18955078 and -4.\nAnswer: -75820312","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (f**(-5)*f**(3\/2))\/(f*f*f\/(f**(-4\/5)*f)*(f**(2\/67)\/f*f)\/f) assuming f is positive.\nAnswer: f**(-3571\/670)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: -0.053 times 33\nAnswer: -1.749","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from tpi. Give prob of picking 1 i and 1 p.\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let t(l) = -l**2 + 2*l**2 + 226 - 447 + 246. Let z(v) = -v**3 + 6*v**2. Let p be z(6). What is the remainder when 74 is divided by t(p)?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(x) = x**3 + 19*x**2 + 117*x + 4. Let w be n(-10). Let u = 359 + w. Calculate the remainder when u is divided by 30.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 498 is divided by 129.\nAnswer: 111","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let i(p) = p**2. Let b(z) be the third derivative of -z**7\/504 - 17*z**5\/15 + 52*z**2. Let s(j) be the third derivative of b(j). What is i(s(f))?\nAnswer: 100*f**2","meta":{"dup_signals":{},"source":"polynomials__compose_test"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is 29a325 - -8b?\nAnswer: 29a3b4","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let n be 3 + -4 + 2 - -3. Let y(u) = u - 8. Let s be y(8). Let a be (s + -1)\/(8\/16). Sort n, a, 3 in descending order.\nAnswer: n, 3, a","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1294643617 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*d - 5*h = -762, -139 - 364 = -2*d - 5*h. Is d composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 q and 2 h when four letters picked without replacement from ghggqggghqhhhg?\nAnswer: 10\/1001","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 6606245, 13212494, 19818743, 26424992, 33031241, 39637490?\nAnswer: 46243739","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -468 divided by -39.\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is 5833537 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 2249 (base 12) in base 13?\nAnswer: 1965","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*n = -3*v + 9, -1 = -3*v - n + 8. Let o(y) = 2*y**3 - 3*y**2 + 2*y - 5. Let t be o(v). Let l(w) = 21*w + 88. Let c be l(-3). Which is bigger: c or t?\nAnswer: t","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -5075 + 253751\/50. Which is the biggest value? (a) -5 (b) 32 (c) k\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(d) = 17*d**3 + 11. Let f(j) = -6*j**3 + 3*j**2 + 3*j - 2. Let z(i) = 5*i**3 - 2*i**2 - 2*i + 2. Let g(h) = 4*f(h) + 6*z(h). Give -11*g(b) + 4*w(b).\nAnswer: 2*b**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:07 AM and 7:16 AM?\nAnswer: 249","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Does 11 divide 22410?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 13*u + 12*u + u - 36*u - 391*u**3 + 11*u + 88*u**3.\nAnswer: -303*u**3 + u","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 7 + -7.6. Let h = -0.3 - f. Which is the second smallest value? (a) h (b) -0.1 (c) 3\/8\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -5*l + 10, 28 = 4*z + l - 50. Suppose 0 = 4*d - 163 + z. What is the tens digit of d?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(p) = 2*p**2 + 3*p - 19. Let g be r(3). Suppose 19 = -3*a + 4*q, -2*a - 6*q + g*q = 10. Put 6, a, 18 in increasing order.\nAnswer: a, 6, 18","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (i**(-4)*i**(2\/25)*(i**(-4)\/i)\/(i*(i**(4\/5)*i)\/i))\/((i*i**2\/i*i)**(-31)*(i**(1\/2))**(-14)) assuming i is positive.\nAnswer: i**(2232\/25)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: How many hours are there in two sevenths of a week?\nAnswer: 48","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 366*k + 1010 + 21682 = 0 for k.\nAnswer: -62","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is 20 a factor of 4226?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 14458002*t + 27153630.\nAnswer: 14458002","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -49 - (-22 + 40 + 11 + 1).\nAnswer: -79","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.00002935669 rounded to five dps?\nAnswer: -0.00003","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 11746.46016683 + -11603.460165. Let f = 143 - k. What is f rounded to seven decimal places?\nAnswer: -0.0000018","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0\/(((-330)\/45 + 6)\/(2\/(-3))).\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (24*z - 24*z + 8*z**2)*(23 + 3*z - 23 + (0 - z + 0)*(5 + 0 - 3)).\nAnswer: 8*z**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: How many kilograms are there in seventeen halves of a tonne?\nAnswer: 8500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: -12487943 divided by 2\nAnswer: -12487943\/2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 47012, 47020, 47034, 47054?\nAnswer: 47080","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1918768 is divided by 26?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Sum -101554 and -9.\nAnswer: -101563","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -17*x + 1068 = -5*x. What is the units digit of x?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is -1430 + -32?\nAnswer: -2012","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of (20\/(-105))\/(1656\/18676) and 1\/(-4)*(-86)\/(-12).\nAnswer: 216","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many nanometers are there in 0.8758147 centimeters?\nAnswer: 8758147","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (-6)\/2*(-2 - -1). Let c = p - 0. Let l(n) = 7*n - 17. What is the remainder when l(4) is divided by c?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 5 and 13?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (r\/r**(-18)*r**(-14))\/(r**(-2\/9)*r**(-2\/13)) assuming r is positive.\nAnswer: r**(629\/117)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let v(h) = 0*h + 3*h + 0*h. Let c = -8 - -12. Let t(i) = 4*i - 7*i + c*i. Calculate t(v(y)).\nAnswer: 3*y","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let g(k) = -9*k - 10. Is 22 a factor of g(-8)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -10*j + 32*j + 28392 - 88870 = 0. Does 161 divide j?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 7462?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {v: 17, t: 3}. Give prob of sequence vt.\nAnswer: 51\/380","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 1230 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: What is the next term in -2281, -2170, -2059?\nAnswer: -1948","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (45\/180)\/((175\/(-224))\/25).\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of (-15)\/(-18) + 55\/6 and 502.\nAnswer: 2510","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 39.086 - 0.086. Let s = 66636214.999967 + -66636176. Let d = s - f. Round d to 5 dps.\nAnswer: -0.00003","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -139 - 2*j**2 - 86 + 78*j + 54*j.\nAnswer: -2*j**2 + 132*j - 225","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -52.03 + 63. Let g = 0.03 + u. Let v = g + -10.84. Round v to one decimal place.\nAnswer: 0.2","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence vuu when three letters picked without replacement from {i: 6, n: 4, m: 2, u: 3, p: 1, v: 4}.\nAnswer: 1\/285","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 769693552.\nAnswer: 2, 48105847","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*p = 7*v - 5*v - 40, 10*p - 6*p - 76 = -2*v for p.\nAnswer: 18","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.0044802615 rounded to 3 dps?\nAnswer: 0.004","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Sort -4, 31, 10, -14, -3, -12.\nAnswer: -14, -12, -4, -3, 10, 31","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of 1579050, 3158081, 4737130, 6316203, 7895306, 9474445, 11053626?\n\"Answer: o**3 + 3*o**2 + 1579015*o + 31","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -11*d + 6*d - 5*s - 10, -2*d + 4*s = -14 for d.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-4)\/(-432)*12*-6.\nAnswer: -2\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -71\/32580100 and 75\/16786.\nAnswer: 358381100","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: 2248937 times 2\nAnswer: 4497874","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {f: 18, m: 1}. What is prob of sequence mmm?\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 2 and -0.03?\nAnswer: -0.06","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (-4 - (-21)\/6)*114. Let v = z - -310. Is v composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: ((-28)\/16)\/((-11)\/(-44))\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 935 = 5*y - 1000. Let r = y - 252. What is the hundreds digit of r?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -2 + -4 - (20 + (2 - 15)).\nAnswer: -13","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:10 PM and 7:33 AM?\nAnswer: 503","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let o(y) = -3*y**3 - 2*y**2 + 9*y + 31. Calculate the remainder when 261 is divided by o(-3).\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 8, -10, -25, -5, -722, 4 in ascending order.\nAnswer: -722, -25, -10, -5, 4, 8","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.00604189738 to three dps.\nAnswer: -0.006","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (s*(s*s**(2\/61)*s*s)\/s*s*s)\/s*s**15*s assuming s is positive.\nAnswer: s**(1222\/61)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-18 + 11*v + 18)*(-7*v + 78*v + 188*v) to the form o + j*v**2 + w*v and give j.\nAnswer: 2849","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let b(q) = q**4 - 3*q**3 + q**2 - q. Let h(n) = -3709*n**4 - 6*n**3 + 2*n**2 + 4968*n. Let o(w) = -2*b(w) + h(w). What is the second derivative of o(d) wrt d?\nAnswer: -44532*d**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of -69, -65, -59, -51, -41, -29, -15?\n\"Answer: v**2 + v - 71","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is c in -5*c**4 + 715*c**3 - 21060*c**2 + 28340*c + 1961120 = 0?\nAnswer: -8, 14, 34, 103","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let b(n) = -2*n**2 + 63*n - 391. Give b(11).\nAnswer: 60","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) -3 (b) 7 (c) -0.5 (d) -9 (e) 2\/9\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 418 = 6*z - 4*w, 0 = 20*z - 16*z + 9*w - 6*w - 273 for z.\nAnswer: 69","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 12538265 and 10115.\nAnswer: 1445","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 20*y**3 - y**2 - 19*y**3 + 0*y - 2*y + 1 - 2 to g*y**3 + x*y**2 + i + t*y and give i.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -450*k**4 + 7*k**3*m + 7292*m wrt k?\nAnswer: -1800*k**3 + 21*k**2*m","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is (-1)\/4*1472\/276?\nAnswer: -4\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -102, -279, -422, -531?\nAnswer: -606","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let o(u) be the first derivative of u**2\/2 + 3*u - 116. Let f(z) = -z. What is f(o(q))?\nAnswer: -q - 3","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Does 5885 divide 94740379?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 106 and 95930?\nAnswer: 106","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((1 + 3 - 3)*(-3 - 2 + 2) + (1 - 2 + 6)*(-1 + 3 + 0))*(-3*z - z + 2*z) + (3 - 2 + 1)*(z - 2*z + 3*z).\nAnswer: -10*z","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 3181501 is divided by 1256.\nAnswer: 53","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is -19 + -18907?\nAnswer: -18925","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let n(u) = -70*u - 1. Let q(c) = 28*c**2. Calculate q(n(o)).\nAnswer: 137200*o**2 + 3920*o + 28","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 1417061395?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose s + 0*s = 9. Suppose -y + s = 1. Suppose y = -2*n + 34. What is the tens digit of n?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 102101022 (base 4) to base 12.\nAnswer: 37376","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 2065257147 to the power of 1\/2, to the nearest integer?\nAnswer: 45445","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let z be 6 - 1 - (-35775)\/(-5). Let m = -3515 - z. Is m composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*v - 9*v + 4374 = 0. Suppose -8*o = o + v. Let x be (2\/(-9) - 30\/o)*9. Solve -x*m + 11 = 2*n - 6*m, 5*m = -25 for n.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -303 - -331. Calculate the remainder when 111 is divided by c.\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -0.5*7.16.\nAnswer: -3.58","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 93 + -66. Let w = 1 + 2. Calculate the highest common factor of i and w.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (3\/((-30)\/4))\/((-6)\/(-9)).\nAnswer: -3\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 3016734 and 558.\nAnswer: 186","meta":{"dup_signals":{},"source":"numbers__gcd_test"},"subset":"dm_maths"} +{"text":"Question: What is 2578 (base 15) in base 2?\nAnswer: 1111100110100","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of 78, 223, 374, 531, 694, 863?\n\"Answer: 3*q**2 + 136*q - 61","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Divide 251325951 by 2.\nAnswer: 251325951\/2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of (-58234)\/(-9) + (-144)\/324 + 3?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -x - 14 = -5*y, 5*y - 5*x - 15 = 15. Let f be -3*4\/y*-2. Let o be 2\/4*f\/(-27). Is 2\/5 <= o?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*y + 38116 = 2*k, -4*y + 0*y = 4*k - 76220. Suppose -k = -4*w - 2*f, w - 3*f - 4771 = -0*w. Is w a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -92, -0.4, 0.2 in ascending order.\nAnswer: -92, -0.4, 0.2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -26 = v + 14. Let h = 28 + v. Let x be (8\/h)\/(2\/(-9)). Solve -2*i + 1 = x*g + 10, 0 = -i - g - 2 for i.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*v = -2*g + 54, -4*g + 3*v + 29 = -123. Calculate the remainder when g is divided by 25.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find y such that -y**3\/8 - 3*y**2\/2 + 13*y\/8 = 0.\nAnswer: -13, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 1 or -2\/2461?\nAnswer: -2\/2461","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -938 + 943. Solve 5 = -i, -y*l - 22 = -8*l + 2*i for l.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -18697, -18716, -18743, -18778, -18821?\nAnswer: -18872","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let s(n) = 308*n**2 - 6*n + 1. Let w(g) = 308*g**2 - 5*g + 1. Let a(k) = -3*s(k) + 4*w(k). Is a(1) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 759.7989 centuries to millennia.\nAnswer: 75.97989","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 101 is divided by 57.\nAnswer: 44","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (-13)\/(-52) + (1 - (-6)\/8). Let g be (1 - d) + 3 + 2. What is the lowest common multiple of 27 and 2\/(g\/38) + -1?\nAnswer: 54","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 25*f**3 - 1 + 16*f**3 + 0 - 6.\nAnswer: 41*f**3 - 7","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*i = 3*q - 20, -19*q = 3*i + 112 - 200 for q.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 50*f - 72 = 46*f. Let w(r) = 7*r - 66. Calculate the remainder when w(f) is divided by 31.\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (-141)\/(-27) + (-2)\/9. Suppose -2*a = -d - 5. What is the third derivative of k**a + 4*k**2 + 2*k**2 - 3*k**5 wrt k?\nAnswer: -120*k**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when ((-3201)\/66)\/(1\/(-2)*1) is divided by 32.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 347 + -38. What is the hundreds digit of g?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does -2\/63 = -64?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 89\/24 and (-6)\/(-8)*(1 + (-981)\/972).\nAnswer: 144","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -8\/11 + -1\/44. Suppose 1 - 31 = -6*r. Suppose 5*w - r*d - 11 = -d, -17 = w + 4*d. Are w and n non-equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 87 + -151. Let u = 85 + y. Let j be (-14)\/u + 17\/3. Solve 4 + 11 = -j*p for p.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z be 23 + -21 + 1\/(1 - 0). Suppose 0 = -5*u - 2*r + z, 7 = 3*u - r - 3*r. Let b(o) = 308*o - 1. Is b(u) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in -8, 0.27, 5?\nAnswer: 0.27","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 252 - -37.\nAnswer: 289","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:27 AM and 6:38 AM?\nAnswer: 371","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is 33410 - 37522?\nAnswer: -4112","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve -y - 28 = 11*v - 6*v, -3*y + 1 = -2*v for y.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0 in -6.057, -3, 4, 5, -6?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 2116 and 155917?\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -8 + 10. Suppose 0*b - p*b = -2. Let t(o) = -2*o**2 + 2*o + 0*o**2 - 3 - 2*o**3 + 2. Determine t(b).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(l) = -l**3 - l**2 + l - 2. Suppose -24 = 2*v - o - 1, -31 = 4*v + 3*o. Let k be 2\/v + 54\/(-30). Let c be q(k). Solve 2*i - 10 = -c*i for i.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(c) = -4*c**3 - 560*c**2 - 3722*c + 249. Calculate v(-133).\nAnswer: -17","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*o**5 + 4*o**4 - 30*o**3 - 80*o**2 + 8*o + 96 = 0. What is o?\nAnswer: -3, -2, 1, 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0.6 in -1\/5, -0.1, 2\/23, -76?\nAnswer: 2\/23","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let l(k) = 2*k + 54. Let y be l(0). Factor 5*d**3 - y - 222 + 85*d**2 + 400*d + 10*d**2 - 224.\nAnswer: 5*(d - 1)*(d + 10)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -63*a*k*w**2 + 432*a*w**3 - 10*k*w**3 - k*w - 146*w**3 wrt k?\nAnswer: -63*a*w**2 - 10*w**3 - w","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 10754 is divided by 41.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -54*h**2 - h**3 - 1477*h - 56*h**2 + 109*h**2 + 202*h**4 - 16*h**4 wrt h?\nAnswer: 2232*h**2 - 6*h - 2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(o) = o. Let u(c) = -2*c. Let j(l) = 5*h(l) + 2*u(l). Let m(b) = 44*b - 38. Let g(s) = 4*s - 6. Let i(p) = -6*g(p) + m(p). Calculate i(j(d)).\nAnswer: 20*d - 2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:00 PM and 10:46 PM?\nAnswer: 646","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Express -11 - 12*a**3 - a - a**2 + 31 + 2*a**3 + 110 + a**4 in the form x*a**4 + k + s*a**2 + m*a**3 + u*a and give k.\nAnswer: 130","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-78*m**3 - 27*m**3 - 7*m**3 - 130*m**3 - 27*m**3)*(-m**2 + 3*m**2 - 4*m**2) + (-7 - 8 + 25)*(2*m**5 - m**2 + m**2).\nAnswer: 558*m**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*z + 4*s = -364, 9*z - 4*z - 4*s - 620 = 0. Suppose -4*w + 17 = j, 3*j - 121 = 4*w - 38. Let h = j + z. Is h a multiple of 17?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 4 and 294242?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 40 and 78*1\/8 + (-4)\/(-16)?\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 602 - 598. Suppose -4*y - 15*k - 4 = -17*k, 3*y = w*k - 8. Suppose 0 = -r + 2*c + 12, 88 - 8 = 5*r - 5*c. Solve r = 5*t - y*t for t.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 107, 159, 253, 389, 567, 787, 1049?\nAnswer: 1353","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let d(r) = -23*r**3 + 4*r**2 + 4. Let y(f) = 47*f**3 - 9*f**2 - 9. Determine 9*d(n) + 4*y(n).\nAnswer: -19*n**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let f be ((-1)\/3)\/((-2)\/12). Suppose 0*w = j - f*w - 9, 4*j + 5*w - 10 = 0. Solve -5*c + 4*c - j = 0 for c.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3 + 1 - 2)*(-9*n**4 + 2*n**4 + n**4).\nAnswer: -12*n**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of -15138, -15152, -15182, -15234, -15314?\n\"Answer: -c**3 - 2*c**2 - c - 15134","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let s be -5 + (-3 - (-32 + 3)). Suppose -19*a + s = -12*a. Solve -y = -a*y - 4 for y.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 244032 - -4.\nAnswer: 244036","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -53*j - 48*j + 101*j + 753350*j**2.\nAnswer: 753350*j**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 27560694 and 27560694?\nAnswer: 27560694","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*q = -1219 + 12187. Is q a multiple of 151?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: 11065 (base 9) to base 6\nAnswer: 54005","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Sort 3\/2, -315, 0.0673 in descending order.\nAnswer: 3\/2, 0.0673, -315","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve 66*o + 346 = 115*o - 1026 for o.\nAnswer: 28","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is (-2)\/(-4)*(11 - 136\/12)?\nAnswer: -1\/6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(a) = -a. Let s(n) = n + 1. Let m(p) = -15*p - 10 - 7 - 3. Let i = -233 + 173. Let c(d) = i*s(d) - 3*m(d). Determine c(k(t)).\nAnswer: 15*t","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Round -5.78655806 to 1 dp.\nAnswer: -5.8","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (51\/(-12))\/(2\/(-8)). Let l = -3 - -3. Suppose i - 3*d = 2, 3*i + 2*d + l*d = j. What is the units digit of i?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(i) = 2*i**3 - 2*i**2 + 74*i - 455. Let j be l(7). What is the greatest common divisor of 279 and j?\nAnswer: 93","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -82 and -6?\nAnswer: 492","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 155385 and 135.\nAnswer: 135","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*s = -2*i + 25 + 17, 0 = 4*s + 4*i + 56 for s.\nAnswer: -14","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 23\/363 and 83\/10.\nAnswer: 3630","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Put 0.05, -8, -0.3, -14 in decreasing order.\nAnswer: 0.05, -0.3, -8, -14","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 1854429?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*w + 46 = 14. Let a(r) = 7*r + 212. Let s be a(-28). Calculate the greatest common factor of w and s.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-121*z + 36*z + 34*z + (2 + 0 - 4)*(-z + 7*z - 4*z) + z - z + 3*z)*(-14*z - z**2 + 14*z).\nAnswer: 52*z**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let -4*z**4 - 1688*z**3 + 35104*z**2 - 113152*z = 0. What is z?\nAnswer: -442, 0, 4, 16","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is 699476 a multiple of 389?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 226139.\nAnswer: 101, 2239","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in fourty-three halves of a litre?\nAnswer: 21500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 0*c**3 - 4*c - c**3 - 2597715*c**2 + 2597715*c**2.\nAnswer: -c**3 - 4*c","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 214164 or 214035?\nAnswer: 214035","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 14*v - 2 + 2. Let u(h) = -2*h**2 + h - 34500. Let b be u(v). What is b rounded to the nearest one thousand?\nAnswer: -35000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -471, -6, 2, 3, 5 in increasing order.\nAnswer: -471, -6, 2, 3, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 66.99999919 + -67. Round g to seven dps.\nAnswer: -0.0000008","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -1419 + 1419.1079. Let c = -0.09939 + r. What is c rounded to 4 dps?\nAnswer: 0.0085","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 20359?\nAnswer: 20359","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 11\/1796 or 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*m + 3 = 2*i - 24, 0 = 2*m - i + 12. Let c(g) = -g**3 - 3*g**2 - 12*g - 19. Calculate c(m).\nAnswer: 17","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out 303013796 * 0.5.\nAnswer: 151506898","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7*o + 3*o + 20 = 2*v, -3*o - v + 15 = 0. Suppose 5*p + 1 = 2*n, 2*n + 2*p - o = 3*p. Solve n*l - 20 = -l for l.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(o) = o**2 + 28*o + 39. Let a be l(-30). Let p = a + -6. What is the tens digit of p?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(t) = -547*t + 5404. What is k(11)?\nAnswer: -613","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:43 PM and 8:07 PM?\nAnswer: 264","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Sum 352809 and -198933.\nAnswer: 153876","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -54209700 divided by -1798.\nAnswer: 30150","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is -106201032 (base 7) in base 13?\nAnswer: -1469928","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: 2 * 1.9\nAnswer: 3.8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -13 + 21. Suppose 20 = z*p - 3*p. Is 287 - (1\/2*p - 2) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (g\/((g**14\/g)\/g))**14*(g\/(g\/((g\/g**(-6\/25))\/g))*g)\/g**(-34) assuming g is positive.\nAnswer: g**(-2969\/25)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is -6 + (7 + -9 - -2)?\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence pzz when three letters picked without replacement from zzppppz?\nAnswer: 4\/35","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 7440 + -7440.1. Sort u, 10, -4, 3\/7, 0.1 in decreasing order.\nAnswer: 10, 3\/7, 0.1, u, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*g - h - 14 = 0, 4 = g - 4*h + 3. Solve -g*l + 5 = -10*l for l.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 5039825 and 4340?\nAnswer: 1085","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Expand 0*l - 12*l**4 + 32*l**4 + l + (-2 + 0 + 0)*(-l**3 - l**4 + l**3) + 0*l**4 + l**4 + l**4.\nAnswer: 24*l**4 + l","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((2*sqrt(130) + sqrt(130) + sqrt(130))*4 + sqrt(130) - 2*sqrt(130)*-1)\/(sqrt(1440)*1 - (sqrt(450) + sqrt(50))\/sqrt(5)))**2.\nAnswer: 4693\/64","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -5181 + 5228. Which is smaller: z or -2\/105?\nAnswer: -2\/105","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.6030439 rounded to 1 dp?\nAnswer: 0.6","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Factor -n**3 + 332*n**2 + 1003*n + 670.\nAnswer: -(n - 335)*(n + 1)*(n + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of 4102, 8201, 12300, 16399, 20498?\n\"Answer: 4099*t + 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*j = 3*u + 15, -2*j + u + 0 = -25. Solve s - j*s = 14 for s.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 61234 plus -0.5?\nAnswer: 61233.5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 i when two letters picked without replacement from {v: 1, z: 4, i: 6}.\nAnswer: 3\/11","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -1 divided by -184560903.\nAnswer: 1\/184560903","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let r(o) = 1576276*o**2. Let i(x) = x**2. Determine i(r(z)).\nAnswer: 2484646028176*z**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let d(k) be the first derivative of -5 - 5\/16*k**4 - 1\/4*k**2 + 0*k + 7\/12*k**3. Determine g, given that d(g) = 0.\nAnswer: 0, 2\/5, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t be 2936\/48 - 1*2. Let o = t + -59. Let h be 1\/(-15)*(-11 - -2). Which is the third smallest value? (a) o (b) 0.4 (c) h\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 5*n**4 + 30*n**3 + 60*n**2 + 40*n.\nAnswer: 5*n*(n + 2)**3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let t(b) = -b**2 - 6*b - 6. Let m be t(-2). Suppose -m*c + 6*c = 416. What are the prime factors of c?\nAnswer: 2, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -10588 - 10599 + 31783 + 2*v - 10596 - 19*v - 11*v.\nAnswer: -28*v","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is 36353 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 155457 and 141795?\nAnswer: 207","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let c(i) = 8*i**2 + 6*i - 5. Let n(k) = -k**2 - k + 1. Suppose 63 - 15 = 2*t. Let j = -17 + t. Suppose -4*o + j*o = 18. Give o*n(l) + c(l).\nAnswer: 2*l**2 + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (4 - (-15 + 12) - 8) + -51 + -5 + 4.\nAnswer: -53","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -r**2 - 18*r**3 + 0*r**2 + r**2 - 57*r**3.\nAnswer: -75*r**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is -63a3 + 14?\nAnswer: -638d","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (-9422)\/(-4) + (-2)\/4. Suppose r + 585 + p = 2*a, 2934 = 2*a - 4*r. Is a a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from ggbggbggbggggggggggb. Give prob of sequence gbbb.\nAnswer: 16\/4845","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 11 + -7. Let q = -22 - -27. Suppose 4*r - v*o = 45 + 39, -2*o = q*r - 91. Is r a multiple of 11?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 4230381?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 153035 to the nearest integer?\nAnswer: 53","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 78 - 73. What is the closest to -0.3 in 1, 2, i?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is one tenth of a litre in millilitres?\nAnswer: 100","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 2241708701 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 31 - 7. Suppose 2*n - 21 = -g + o, -3*n = 3*g - 69. What is the greatest common divisor of n and 2?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2, 84, 5, -2 in descending order.\nAnswer: 84, 5, 2, -2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Expand (4*m**2 + 6*m**2 + 155*m**2)*(0*m - 2*m + m) + (m - 3*m + 3*m)*(2 - 2 - 4*m**2).\nAnswer: -169*m**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let h(y) = y**2 - 21. Let c be h(-12). Let l = 127 - c. What is the remainder when 10 is divided by l?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -38123 and -0.2.\nAnswer: 7624.6","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is 23408112 a multiple of 182?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*o - 7*o. Let w = 1 - 6. Put w, o, -2 in ascending order.\nAnswer: w, -2, o","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -16*j**2 + j**4 - 2*j**3 - 3*j**2 - 2 + 2*j**2 to a*j**4 + h*j**3 + z + o*j**2 + d*j and give o.\nAnswer: -17","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -11134*d - d**3 + 11134*d + 2 + 5 + 0*d**3.\nAnswer: -d**3 + 7","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of 7665, 30733, 69187, 123033, 192277, 276925, 376983?\n\"Answer: a**3 + 7687*a**2 - 23","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((x\/(x*x**1)*x*x)\/x)**(-43)\/(x\/(x\/(x**(-6\/7)\/x))*x**7) assuming x is positive.\nAnswer: x**(-36\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let z(g) be the third derivative of 0*g + g**2 + 0*g**4 + 0*g**5 + 0 - 1\/3*g**3 - 1\/60*g**6. Find the first derivative of z(u) wrt u.\nAnswer: -6*u**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(v) be the first derivative of 0*v**3 + 22 - v - 1\/8*v**4 + 3\/4*v**2. Factor w(z).\nAnswer: -(z - 1)**2*(z + 2)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -y + 1 = 2*k, 29*y + 3*k = 34*y + 8 for y.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 11*g + 99 = 14*g. Is g composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 4, -25, -1, 2, -5, -0.02093 in decreasing order.\nAnswer: 4, 2, -0.02093, -1, -5, -25","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 11.5 + -11. Suppose 29 = -4*s + 9, j + 11 = -2*s. Let l = -1 + 0.8. Which is the closest to -1? (a) g (b) l (c) j\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 4380 is divided by 291.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 80, 81, 82?\nAnswer: 83","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the tenth root of 1921 to the nearest integer?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Expand (a - 4 + 4)*(2*a + 213*a**2 - 170*a**2 + 318*a**2).\nAnswer: 361*a**3 + 2*a**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is -361406 - -2?\nAnswer: -361404","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -13*s = -8 + 21. Let w be (-5)\/(-6) + s + (-111)\/(-18). What is the second derivative of 14*g**2 + w*g**2 - 11*g - 2*g**2 - 5*g**2 wrt g?\nAnswer: 26","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of -167, -209, -251, -293, -335, -377?\n\"Answer: -42*z - 125","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.000001406904 to 7 dps.\nAnswer: -0.0000014","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 1 + -1.4. Let s = 0.36 + u. Let n = -0.44 - s. Which is the closest to -0.1? (a) -5 (b) n (c) 4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 50488 and 25244?\nAnswer: 50488","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: -0.63*-75.766\nAnswer: 47.73258","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Put 0.64, 0.155, -2, 7, -1, 6 in increasing order.\nAnswer: -2, -1, 0.155, 0.64, 6, 7","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-4)\/(7\/(168\/(-32))))\/((-7)\/21)?\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 14\/3 bigger than 4?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the seventh root of 8061776 to the nearest integer?\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Expand (684*s**4 - 58*s**4 + 257*s**4)*(-7*s + 10*s + 3*s).\nAnswer: 5298*s**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 288693 is divided by 55.\nAnswer: 53","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 56 - 21. Suppose -3*v + 5*i + 22 = 0, v - i = -2*v + 38. Calculate the greatest common factor of t and v.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose z + 4*x + 2 = 1, -5 = 5*z - x. Let j(m) = -3*m**2 - m. Let p be j(z). Let v be (-9)\/(-2)*p - -2. What is v rounded to the nearest integer?\nAnswer: -7","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 56*p*r*y + 105*p*r + p*y + 262*r*y + 16431*r - 2*y with respect to y.\nAnswer: 56*p*r + p + 262*r - 2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: (-110)\/22 - (-152)\/28\nAnswer: 3\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1793 to the power of 1\/2, to the nearest integer?\nAnswer: 42","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: 5 times 9.5\nAnswer: 47.5","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Does 30 divide 128310?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 3204750.\nAnswer: 2, 3, 5, 4273","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let d(l) = -2*l - 72. Let h be d(-34). Let z(c) = 2*c**2 + 4*c + 5. Let g be z(h). Let q = -2 - -9. What is the greatest common factor of g and q?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 35 and 726565.\nAnswer: 35","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -3589 - -3756.1. Let h = a + -167. What is the second smallest value in h, -0.008, -5?\nAnswer: -0.008","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of -35, -171, -389, -683, -1047, -1475, -1961, -2499?\n\"Answer: f**3 - 47*f**2 - 2*f + 13","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -1 + -1. Suppose 0 = -4*z - s + 7, 3*s = -6*z + z. Suppose z*p - 2*p + 1 = 0. Put t, p, -5 in increasing order.\nAnswer: -5, t, p","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*g = i + 3*g - 4, 4*i - 16 = -4*g. Solve -3*f + 4 = -2*w, -5*f + i = -6*f - 2*w for f.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(r) = 32*r + 3. Give t(-1).\nAnswer: -29","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 100 and 4220.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: How many millimeters are there in 86.36485m?\nAnswer: 86364.85","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Put -53\/4, -1\/3, 0.2, 5, 8, -3 in decreasing order.\nAnswer: 8, 5, 0.2, -1\/3, -3, -53\/4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let a(g) = -2*g**2 - 8*g - 4. Let n be a(-3). Let x(u) = u - 4. Let r(z) = 1. Give n*x(y) + 9*r(y).\nAnswer: 2*y + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) -2\/7 (b) 4 (c) -481 (d) -0.4 (e) 1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (k**(-7)*k)\/(k\/(k*k**23))*k*k\/(k**(3\/20)\/k)*k\/k**(9\/4) assuming k is positive.\nAnswer: k**(93\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let j(v) = 4*v**3 + 3*v - 11. Let g(u) = 11*u**3 + 8*u - 32. Let o(y) = -3*g(y) + 8*j(y). Calculate o(0).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -541278*p*w**3 + 693382*w**3 wrt p?\nAnswer: -541278*w**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*r + 23 = -7*n, -r - 77 = n - 74 for n.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: (3\/(-7))\/(124\/(-217))\nAnswer: 3\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 148999961.\nAnswer: 11, 71, 107, 1783","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let t(g) be the second derivative of g**5\/20 + g**4\/3 + g**3\/3 - 5*g**2\/2 + 5*g. Calculate t(-4).\nAnswer: -13","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out 202433895.39 + 0.1.\nAnswer: 202433895.49","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (b\/(b**5*b))**(2\/139)\/(b**(-13\/2)*(b\/(b**(-7)\/b))\/b*b) assuming b is positive.\nAnswer: b**(-715\/278)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (-5)\/10*(-2)\/(-4). Let s = 22.9 + 81.1. Let i = -104.1 + s. What is the nearest to i in o, 4\/3, -1?\nAnswer: o","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 21688267 to the power of 1\/2, to the nearest integer?\nAnswer: 4657","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is 11190047941 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 38664100 rounded to the nearest 100000?\nAnswer: 38700000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (-3)\/(((-18)\/4)\/(-3)). Let t = 0 + z. Let m be (t\/(-10))\/(-1 + 2). Which is the smallest value? (a) 0.4 (b) m (c) -4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 3440 a factor of 293095550?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (-2)\/4*(-5)\/(-4). Let i(h) = 67*h + 870. Let w be i(-13). Which is smaller: g or w?\nAnswer: w","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 23 + 5*x**3 + 7*x**3 + 3*x - 9*x**3.\nAnswer: 3*x**3 + 3*x + 23","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from ssppspp. What is prob of picking 1 s and 1 p?\nAnswer: 4\/7","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*v = -g + 7867 + 24379, 4*g + 32241 = 5*v. Is v prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 267 and 3?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is 0 - 111?\nAnswer: -111","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 61977155?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let p be 844\/438*96\/128. Let s = p + 4\/73. What is v in -1\/2*v**4 - s*v**2 + 2*v**3 + 0*v + 0 = 0?\nAnswer: 0, 1, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_test"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 19057.\nAnswer: 17, 19, 59","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify o**0\/o*(o\/(o*o\/(o\/o**(-5)*o)))\/o*(o\/o**(-2\/3))\/(o**(2\/11)\/o) assuming o is positive.\nAnswer: o**(214\/33)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 691 minutes after 2:02 PM?\nAnswer: 1:33 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve r + 25 = -4*y, -34*r - 55 = -24*r + y for r.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*w - 72 = -w. Is w\/(-4)*(-22)\/(-4) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(d) be the first derivative of d**4\/4 - 5*d**3\/3 + 2*d**2 - 5*d + 3. Let x be l(4). Suppose -4*f + 5*s - 10 = -1, -4*s = -4*f - 8. Sort f, 2, x.\nAnswer: x, f, 2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence iz when two letters picked without replacement from {i: 6, m: 2, e: 10, z: 2}?\nAnswer: 3\/95","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 791, 1590, 2405, 3236, 4083, 4946, 5825?\nAnswer: 6720","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 87*a**3*u**3 + 468*u**3 - 2 with respect to a.\nAnswer: 261*a**2*u**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (15\/5)\/3*(-28)\/(-154). Solve 6\/11*k + 0 - 8\/11*k**2 + n*k**3 = 0.\nAnswer: 0, 1, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 523558 or 523557?\nAnswer: 523558","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Express 1134*z + 93*z + 945*z + 1312*z as d*z + c and give c.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let r(l) = -2*l - 14. Let o be r(-8). Suppose o*s = 5*s - 138. Is s a multiple of 14?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Total of -8734085 and 0.3.\nAnswer: -8734084.7","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((t*t*t*t**1\/t*t*t**(-4\/3))**48)**(4\/5) assuming t is positive.\nAnswer: t**(512\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let r(v) = v**2 - 8*v + 10. Let h be r(7). Suppose -48 = h*o - u, -4*o - 4*u - 55 = -7. Let f = -6 - o. Is f a multiple of 9?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2*z + 11583*z**3 + 622*z**3 - 2*z.\nAnswer: 12205*z**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.00138371 rounded to 4 decimal places?\nAnswer: -0.0014","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of -4, 40, 112, 206, 316, 436, 560, 682?\n\"Answer: -d**3 + 20*d**2 - 9*d - 14","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let y(q) = -q - 2. Let x = -4 - 6. What is the units digit of y(x)?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -7 + -5 + -7 + (-36 - -39)?\nAnswer: -16","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 i when two letters picked without replacement from {i: 5, z: 11}.\nAnswer: 1\/12","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of 27970, 107644, 240432, 426334, 665350, 957480?\n\"Answer: 26557*o**2 + 3*o + 1410","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: -54*-33566\nAnswer: 1812564","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from kxhgggxxoxlgxgkxo. What is prob of picking 4 h?\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is -51 < -17553\/346?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of 399, 787, 1189, 1611, 2059, 2539, 3057, 3619?\n\"Answer: u**3 + u**2 + 378*u + 19","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 224?\nAnswer: 2, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let i(y) = y**3 + 76*y**2 - 28*y - 5853. What is i(-76)?\nAnswer: -3725","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*a + 2 - 4. Does 15 divide (-46)\/(-3) - a\/3?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 69633*m + 69655*m - 139317*m + 4 - 4.\nAnswer: -29*m","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Expand 655*q + 2*q**3 - 98 - 187*q + 100 + (-4*q + 2*q + 0*q)*(-3*q**2 + 5*q**2 - 3*q**2).\nAnswer: 4*q**3 + 468*q + 2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (10\/(-8))\/(5*(-3)\/6540). Let d = c - 330. What is the hundreds digit of d?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 42845 and 811800.\nAnswer: 15424200","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 99\/52 - 15\/13. What is the third smallest value in x, -2, 0.2?\nAnswer: x","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is seventeen quarters of a kilogram in grams?\nAnswer: 4250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = f + 4*f. Suppose -3*g = -45 - 33. Suppose f = 2*b - 4*b + g. What is the tens digit of b?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in 2, 7, -2, -0.1, -5\/2?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*n**4 - 5344*n**3 - 81592*n**2 + 718144*n + 794388 = 0.\nAnswer: -21, -1, 7, 1351","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*o - 175 = o. Let g = o + 36. Solve 5*l + g = 1 for l.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1 + 0 + 0 + 8 + -9.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: How many centimeters are there in 3\/8 of a kilometer?\nAnswer: 37500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Factor 310472\/11 + 2\/11*k**2 + 1576\/11*k.\nAnswer: 2*(k + 394)**2\/11","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 61\/9 and (-1244)\/(-112) + 3 - 1\/(-7)?\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 32625 a multiple of 87?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Work out -0.1664 - 4.054.\nAnswer: -4.2204","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*s = 3*k - 0*k - 16, 3*k = 3*s. Let n be (0\/k)\/(-2 - 0). Suppose 3*w + n*w + 3 = -3*z, 10 = -3*w + 4*z. Is -2 greater than w?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*w - 11 = 3*s + 7*w, -3*w = s + 7. Which is the third biggest value? (a) -3\/5 (b) s (c) -0.05 (d) -0.1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(y) = 106*y**2 - 7*y + 32. Let a be c(-24). Let k = 27744 + a. What is k rounded to the nearest ten thousand?\nAnswer: 90000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 15 bigger than -3355285?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Put together -689.018 and 2.\nAnswer: -687.018","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 0.17 - -0.33. What is the nearest to -2\/3 in -1, o, -3?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -89 - -124. Let h = -35 + p. Solve -2*y + h - 2 = 0 for y.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(i) = -2*i + 29. Let l be b(15). What is the closest to -2\/3 in l, 2\/13, -1\/2?\nAnswer: -1\/2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(t) = 5*t**3. Let x(s) = -24*s**3. Let h(f) = 3*f**3 - 6. Let y be h(-3). Let q = -83 - y. Suppose -q*g + 2 = -10. Calculate g*x(m) + 14*p(m).\nAnswer: -2*m**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 3068?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is -296 + 63?\nAnswer: -233","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is 1556506703 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -29\/3605508 and 149\/1802754.\nAnswer: 3605508","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in 0.08, 6, -19\/2?\nAnswer: 0.08","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is twenty-nine halves of a day in hours?\nAnswer: 348","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let r(p) be the second derivative of p**7\/21 + 2*p**6\/5 - 19*p**5\/10 - 4*p**4 + 484*p. Determine i so that r(i) = 0.\nAnswer: -8, -1, 0, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -26.7 in -12, 0.6, -11?\nAnswer: -12","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let f(p) be the third derivative of 3*p**5\/2 - 2*p**4\/3 - 4*p**3\/3 - 4*p**2. Factor f(q).\nAnswer: 2*(5*q - 2)*(9*q + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(w) be the first derivative of -w**2\/2 + 1. Let c be n(1). Let s be -2*-2*c\/2. Put 1, s, 2 in increasing order.\nAnswer: s, 1, 2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(d) = 9*d - 3. Let h(k) = -10*k + 4. What is -3*h(o) - 4*i(o)?\nAnswer: -6*o","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose i = -3 + 2. Let s(p) = -p**3 + 9*p**2 + 8*p + 8. Let l be s(10). Let w be (-1)\/2 + (-2)\/l. What is the second biggest value in 1\/2, i, w?\nAnswer: w","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose p = -i + 83 - 67, i = p + 24. Solve 2*u = i*u - 13*u for u.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 7299790543 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 55*c = 54*c + 4949. Is 11 a factor of c?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -530\/3 or -178?\nAnswer: -178","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 57041 or 56896?\nAnswer: 56896","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is 11 a factor of 50974?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose h - 284 = 4*r, 3*h = 4*h - 3*r - 287. What is the greatest common divisor of 11248 and h?\nAnswer: 296","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -718 + 717. Which is the fourth biggest value? (a) -13 (b) 0.2 (c) o (d) 4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 2732?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 578 - 305. Calculate the remainder when p is divided by 11.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 0.97 + -0.77. Which is the fourth biggest value? (a) 2 (b) y (c) 46 (d) 3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine w, given that 3*w**2\/5 + 78*w\/5 + 399\/5 = 0.\nAnswer: -19, -7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*h**4 - 222*h**3 - 6028*h**2 - 5808*h.\nAnswer: -2*h*(h + 1)*(h + 44)*(h + 66)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let r(p) = 13*p**2 + 28*p + 17. Let h be r(-8). Let u = -84 + h. Does 25 divide u?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:36 AM and 3:40 PM?\nAnswer: 424","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -8.8? (a) 5 (b) 2 (c) 45 (d) -12\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 83641554 is divided by 6176?\nAnswer: 6162","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 5130083?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 11 + -10.89. Let u = s + -0.41. Let y = -0.146 + 1.146. Which is the nearest to 2\/7? (a) y (b) u (c) -2\/13\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of -171, -446, -909, -1566, -2423, -3486, -4761?\n\"Answer: -s**3 - 88*s**2 - 4*s - 78","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 17476 is divided by 350.\nAnswer: 326","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 7 is divided by 4.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (a*(a*a**(-1\/15))\/a*a\/((a*((a\/(a\/(a**(5\/3)\/a)))\/a)\/a)\/a))**(-35) assuming a is positive.\nAnswer: a**(-343\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 3? (a) 2\/11 (b) -2013\/766 (c) -3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: ((-84)\/(-182))\/((-10)\/(-65))\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Factor 4*c**4\/7 - 1812*c**3\/7 - 3636*c**2\/7 - 260*c.\nAnswer: 4*c*(c - 455)*(c + 1)**2\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (-27)\/(-3)*(2 + -3). Let j = -8 - r. Let k be (8 - 0)\/(j - -1). Solve k*t - 8 = 4 for t.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2 - 3 + 4)*(-5 + 5 - 4*x).\nAnswer: -12*x","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 11393 is divided by 31.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:01 AM and 3:41 AM?\nAnswer: 160","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is 4873 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is 1999511 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 104112115 to the nearest integer?\nAnswer: 470","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -g = -5*g - 104. Round g to the nearest 10.\nAnswer: -30","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -1.06 - -0.2. Let x = y - 0.14. Let n = 2\/943 + -1916\/14145. Which is the second smallest value? (a) 0.1 (b) n (c) x\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (6 + -4 + 3)\/(-1*4). Which is the nearest to 1? (a) -0.4 (b) 5 (c) j\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-343)\/2058)\/((-772)\/(-48))?\nAnswer: -2\/193","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 1084482175?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.0000009722329534 to 7 dps.\nAnswer: -0.000001","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let x(y) = 324*y**2. Let i(n) = -14393*n**2. Let a(j) = 5*i(j) + 222*x(j). Let z(f) = 5*f - 10. What is a(z(k))?\nAnswer: -925*k**2 + 3700*k - 3700","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence wva when three letters picked without replacement from vvwvawv?\nAnswer: 4\/105","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Expand -3*t**3 - 3*t**3 + 4*t**3 + (-t**2 + t**2 + 2*t**2)*(2*t - 6*t + 2*t) + 2*t**2 - 2*t**2 - 3*t**3 + 2*t**3 + 0*t**3 + 4813*t - 4816*t.\nAnswer: -7*t**3 - 3*t","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -3.03*-30.\nAnswer: 90.9","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is 12231539 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Put -3, 20, -11 in descending order.\nAnswer: 20, -3, -11","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is 14534 - -3?\nAnswer: 14537","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 70\/121 - -14183\/1210. Let u = 2\/4419 - 57475\/61866. Calculate the common denominator of u and w.\nAnswer: 70","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 888963 (base 10) to base 2.\nAnswer: 11011001000010000011","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let z(r) = 5*r + 3. Let j(p) = 16*p - 251. Let n be j(15). Let t(o) = -14*o - 8. What is n*z(i) - 4*t(i)?\nAnswer: i - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -16415 + 16415. Factor 0 - 4\/9*n**3 + 0*n + z*n**2 + 2\/9*n**4.\nAnswer: 2*n**3*(n - 2)\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0*m**3 + 0*m**3 + 2*m**3 + (2*m**2 + 3*m**2 - 3*m**2)*(2*m - 2*m - 2*m))*(-9 - 277*m - 19 + 275*m).\nAnswer: 4*m**4 + 56*m**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*b + 1270 = 4*t, -b + t - 87 = -707. Does 5 divide b?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is 55 - -242312?\nAnswer: 242400","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let k(c) = -c**3 - 12*c**2 - 34*c - 2. Let j be k(-8). Which is greater: j or 5?\nAnswer: j","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -469587 = -161*o - 293661 + 1385613. Is o a multiple of 125?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify k**(-32)\/(k\/k**(-25))*k**(2\/73)*k**(25\/2) assuming k is positive.\nAnswer: k**(-6639\/146)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let h(b) = 3*b**3 - b**2 + b + 2. Let k be h(2). Suppose 10*n - k = 2*n. Suppose 0 = -j + 49 - n. What is the least common multiple of 22 and j?\nAnswer: 506","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 2\/18*(-285)\/380?\nAnswer: -1\/12","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let d(p) = 40*p**3 - 3*p**2 - 4*p - 3. Let f be d(-2). Let u = -140 - f. Is u a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -3*u - u, t - 1 = 4*u for t.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose g = 6*g - 4*t - 4414, -2*t = -5*g + 4422. Suppose -364 = 3*d - g. What are the prime factors of d?\nAnswer: 2, 3, 29","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -613\/3 + 204. Which is the third biggest value? (a) f (b) 1 (c) 5 (d) 19\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tenth root of 1003300067 to the nearest integer?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {o: 5, h: 4, x: 1, a: 1}. Give prob of sequence hxoh.\nAnswer: 1\/132","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let p(v) = 6*v - 5. Let d be p(6). Let m(y) = -y**2 - 10*y + 6. Let o be m(-8). Let a = d - o. What are the prime factors of a?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: 9 + (3 - 2) - 4\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is fourty-eight fifths of a millennium in centuries?\nAnswer: 96","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is -29 + 30 - (3 + 0)?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Work out -0.07 - 1315378890.07.\nAnswer: -1315378890.14","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -5? (a) -1 (b) 2100 (c) 5 (d) 4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Round -142.2295033 to 1 decimal place.\nAnswer: -142.2","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve 11*g + 27 = 2*g for g.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth biggest value? (a) -0.7 (b) -93 (c) -0.5 (d) 3\/2 (e) -870\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.00143789054 to 5 dps.\nAnswer: -0.00144","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Work out 441.43 + -6591.5.\nAnswer: -6150.07","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 1660*l - 32 - 1660*l - 4*l**2 to the form j*l + z*l**2 + g and give g.\nAnswer: -32","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let f(l) = -3*l - 3. Let w be f(-1). Let n be w\/(-1 - 0) - -362. Is n\/1*(-35)\/(-10) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((q**(2\/5)\/q**(-1))**43)**(-13))**(-5) assuming q is positive.\nAnswer: q**3913","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let t be -1*(3 - (-4 + -1)). Let n(c) = -c - 5. Let d be n(t). Suppose 9 + 27 = d*y. Is 12 a factor of y?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -u + 65 = 5*j + 4*u, 0 = 5*u + 25. Suppose 3*y + 3 = j. Suppose 4*g = 5*k + 101, y*k - 1 = -g - 7. Is g composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-1 + 4*p + 1)*(-2*p + 3*p - 2*p) + (p + 0*p + 0*p)*(0*p + 4*p - 3*p) + 0*p**2 + 0*p**2 + 2*p**2 - 5*p**2 + 6*p**2 - 3*p**2 + p**2 + 2 - 2.\nAnswer: -2*p**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 5561281 a multiple of 451?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Express 11 + 180*n + 253*n - 11 as z*n + i and give z.\nAnswer: 433","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 11\/2 of a litre?\nAnswer: 5500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 3374*d - 205*d**2 + 42*d**2 - 3374*d - 19*d**2.\nAnswer: -182*d**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*d + 0*d + 64 = 0. Let o be (-4)\/d + (-32799998)\/(-8). Round o to the nearest one million.\nAnswer: 4000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(t) = 16*t**2 - 3*t - 4. Let d be c(-1). Suppose -630 = -u - 10*y + d*y, 0 = -3*u + y + 1876. What is the hundreds digit of u?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 10784, 10775, 10764, 10751, 10736?\nAnswer: 10719","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 492*a**2*u**2 - 2*a**2*u + a*u**2 + 1062*a*u - 4*u wrt a.\nAnswer: 984*u**2 - 4*u","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Factor 3*t**3 + 1260*t**2 - 2532*t.\nAnswer: 3*t*(t - 2)*(t + 422)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is 39977 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let 2*z**2\/9 - 32*z\/9 - 160\/9 = 0. Calculate z.\nAnswer: -4, 20","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -9*o + 5*o + 2*o - 13.\nAnswer: -2*o - 13","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1\/3, -2\/7, 0.9, 1\/5, 0.5.\nAnswer: -2\/7, 1\/5, 1\/3, 0.5, 0.9","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.862 + -48976?\nAnswer: -48976.862","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 112881079 to the power of 1\/2, to the nearest integer?\nAnswer: 10625","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 7163 to the nearest integer?\nAnswer: 19","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -42\/1675 or -16?\nAnswer: -16","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (34\/7)\/(45\/(-35)). Let k = y - -4. Suppose -2\/3*x**4 + 4\/9*x**3 + 2\/9*x**5 + k + 4\/9*x**2 - 2\/3*x = 0. Calculate x.\nAnswer: -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(v) = 2*v**2 + 2. Let b be d(2). Suppose 2*z + 0*z - b = 0. What is the units digit of z?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Subtract -45.2 from -206.\nAnswer: -160.8","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0, -11, -1, 14, 8 in ascending order.\nAnswer: -11, -1, 0, 8, 14","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -47*z = -49*z + 8. Suppose i - 3 = -5*h, 2*i + 6 = z*i - 3*h. Let b(q) = -9*q + 2. What is the smallest common multiple of i and b(-1)?\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 118202431 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve -i + 3*z = -11, -46*i - 5*z + 250 = -36*i for i.\nAnswer: 23","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is 11 + -1101001010101010100011011?\nAnswer: -1101001010101010100011000","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let c(r) = -7*r - 52. Let l be c(-4). Let i be 8\/((12\/(-248))\/(18\/l)). What is the highest common factor of 4 and i?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 1 and -3?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 2 + (-11 + 6 - 2)?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 2693*d*t + 123475849*d + 71746*t**3 + 4 wrt t?\nAnswer: 2693*d + 215238*t**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let t(q) = -q**2. Suppose -4 = 4*l + 4. Let h(x) = 4*x**2 - 2. Let n(z) = l*t(z) - h(z). Factor n(p).\nAnswer: -2*(p - 1)*(p + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 i and 1 o when two letters picked without replacement from {o: 1, q: 1, l: 1, b: 1, r: 2, i: 1}?\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 166 minutes after 4:24 AM?\nAnswer: 7:10 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let m(g) be the second derivative of 1\/6*g**3 + 14 - 3*g - 5*g**2. Give m(9).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -202 - -112. Let i = x - -208. Does 59 divide i?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-1)\/16)\/((180\/15)\/24)?\nAnswer: -1\/8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (45\/(-6))\/15*(-2)\/(-5)*115.\nAnswer: -23","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 1 or 0.158972?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8 - 1 = -3*q. Let t be (-40)\/(-72) + (-2)\/q. Let i = -3.98 + 0.98. Which is the nearest to -1\/3? (a) t (b) 2 (c) i\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-6 - -19) + -2 - 5) + -13?\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 51 - -14. What is the tens digit of x?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*x - 26 - 20. Let k = x + -45\/2. Factor -1\/4*l**5 + 0*l**2 + 0*l**4 + k*l**3 + 0 - 1\/4*l.\nAnswer: -l*(l - 1)**2*(l + 1)**2\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(n) = -60515*n - 60490*n + 121038*n. Let u(v) be the second derivative of 2*v**3\/3 - v. Determine u(m(b)).\nAnswer: 132*b","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*b = -4*l - 34, b + 4*l - 2 = -0*b. Let a be (-1 + 1)\/(b\/(-3)). Let q be a\/1 + 48\/21 - 2. Sort 1, -4, q in decreasing order.\nAnswer: 1, q, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 a, 1 x, 1 l, and 1 n when four letters picked without replacement from lnaoxob.\nAnswer: 1\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(405) - (sqrt(405) + -1)) + 5 + (sqrt(405) - sqrt(405)*3)*4)**2 - (sqrt(2205)*-1*6 + -4*(-1 + sqrt(2205)))**2.\nAnswer: -194560 + 816*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -7 - -5. What is the units digit of (6\/(-24))\/(l\/56)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many centimeters are there in seven eighths of a kilometer?\nAnswer: 87500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*b + 10*f - 46 = 5*f - 74, 0 = 4*b + 10*f + 38 - 6 for b.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*n - 21 = -3*f, 4*f - 5 - 13 = -2*n. Let d(j) = -2 + 1 + 0 + 2 - n*j. Let p(u) = -3*u + 1. Determine 6*d(r) - 7*p(r).\nAnswer: 3*r - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 11936 to the power of 1\/8, to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let k(u) = -u + 1. Let y be k(3). Let l(h) = -3*h - 3. Let s be l(y). Suppose 2 = -s*r + 5*r. Which is smaller: r or -1\/4?\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0.1 in -0.2, -2, -0.047, 0.1?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Factor 1193 + 50*o**3 - 228*o**2 - 7*o + 33*o**4 - 68*o**4 + 33*o**4 + 23 - 57*o.\nAnswer: -2*(o - 19)*(o - 4)**2*(o + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth smallest value? (a) 0.3 (b) -82 (c) 0.7 (d) 2\/31 (e) -36.1 (f) 5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (l**5*l*l*l\/(l**32*l*l))**17 assuming l is positive.\nAnswer: l**(-442)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) -3\/7 (b) -2 (c) -1 (d) 3 (e) 561 (f) 1.11\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let k(x) = -44*x - 1007. Calculate k(-23).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*c = -1 + 11 for c.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let n(x) = 57*x + 33. Let v(t) = -7*t + 3 - 3 - 4. Let l(s) = 4*n(s) + 33*v(s). Let o(w) = 2*w**2. What is l(o(b))?\nAnswer: -6*b**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Does 5478 divide 978406081?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -4*((6*(sqrt(176) + 1) - sqrt(176))**2 + sqrt(176)) + -1*(sqrt(176) + -2)*-5.\nAnswer: -17754 - 956*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -194 + 228. Solve 0 = 3*d - 5*q - y, -4*d = q - 9 + 2 for d.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in 0.3, 0.73, 4.2?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 80*15\/750 + (-63)\/(-5)*-6.\nAnswer: -74","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is 8541 a multiple of 73?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let v(g) = g**3 - 22*g**2 + 20*g + 27. Determine v(21).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*n + 2 = a, -2*n + 6*n = a + 12. Let x(j) = -2*j**2 + 2 - 23*j + j**2 + 26*j. Give x(n).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0*v - 3*v + 2*v)*(-10*v**2 - 8*v**2 + 19*v**2 + 15*v).\nAnswer: -v**3 - 15*v**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is -1a20788 (base 12) in base 9?\nAnswer: -11337665","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of 262374, 524690, 787006, 1049322, 1311638?\n\"Answer: 262316*s + 58","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Put -2, 5\/12, -5, 191, -3 in decreasing order.\nAnswer: 191, 5\/12, -2, -3, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -5\/56236 and -103\/288.\nAnswer: 4048992","meta":{"dup_signals":{},"source":"numbers__lcm_test"},"subset":"dm_maths"} +{"text":"Question: What is 217 minutes before 11:15 PM?\nAnswer: 7:38 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*p + 1184 = 2*w, 1156 = 3*p - 159*w + 157*w. Calculate the highest common divisor of 1248 and p.\nAnswer: 78","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -83884*p**5 + 954*p - 16 wrt p.\nAnswer: -1677680*p**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Does 440 divide 199352?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Sort -44, -4, -2, 32, 47 in ascending order.\nAnswer: -44, -4, -2, 32, 47","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2388?\nAnswer: 2, 3, 199","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: 1 + -5 - (-1 - 0 - 0)\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of -8062, -19788, -35184, -54250, -76986, -103392?\n\"Answer: -1835*m**2 - 6221*m - 6","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -42 + 42 - (3 + -9).\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Express -3*t**3 - 2*t**2 + 2*t + t**3 - 20*t in the form o*t + b*t**3 + n + h*t**2 and give b.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 5.2 - -0.8. Let n = 3926 + -3930. What is the third biggest value in 4, k, n?\nAnswer: n","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -121\/708 and -127\/18522.\nAnswer: 2185596","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (m**(3\/2)\/((m**(-7)*m)\/m))**(5\/4)\/((m*m**2\/m)**(-4\/25)\/(m*m**(-2\/5)\/m)**(-17)) assuming m is positive.\nAnswer: m**(3549\/200)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0, -321, 4, 2\/9, 27 in descending order.\nAnswer: 27, 4, 2\/9, 0, -321","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 11274?\nAnswer: 2, 3, 1879","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 50050?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is -20 + -10333?\nAnswer: -11013","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of (32 - -4)*(-38)\/(-3)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -10 - -15. Suppose -2*d = 3*d, -4*l = -5*d - 12. Let h = b - l. Calculate the highest common divisor of h and 2.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(s) = -2056*s - 276870. Give l(-135).\nAnswer: 690","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from vbbvvbbbvvbvvbvvbvbv. Give prob of picking 2 b.\nAnswer: 18\/95","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 454081?\nAnswer: 19, 23899","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is 47 a factor of 7935?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 106 (base 10) in base 2?\nAnswer: 1101010","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:04 AM and 6:43 PM?\nAnswer: 459","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 24 = -3*p - p. Let a(j) = j + 2. Give a(p).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: 3 times -125.3671\nAnswer: -376.1013","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Find u, given that -2*u**5\/7 - 104*u**4\/7 - 1350*u**3\/7 + 104*u**2\/7 + 1352*u\/7 = 0.\nAnswer: -26, -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*n = 61 + 29. Let g = -103 - -52. Let z = n - g. List the prime factors of z.\nAnswer: 3, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -71\/12 and -95\/126?\nAnswer: 252","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: 3030 (base 7) to base 8\nAnswer: 2032","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 3 s when three letters picked without replacement from {m: 3, j: 4, s: 4}.\nAnswer: 4\/165","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-83160)\/(-6006) + (-3)\/((-78)\/4).\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -141 + p - 128 - 118 + 510 - 123.\nAnswer: p","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let q(r) = r**3 - 2*r**2 - r - 2. Let k be q(3). Let m be k\/20 - (-198)\/10. List the prime factors of (-12)\/8*m\/(-3).\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 10*p**4 + 27*p**3 - 2276*p**2 - 5350750*p wrt p.\nAnswer: 120*p**2 + 162*p - 4552","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let o(c) = -5*c**2 + c + 3. Let s be o(3). Let u = -19 + 10. Let b = u - s. List the prime factors of b.\nAnswer: 2, 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 432264 and 65968?\nAnswer: 16426032","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let x(w) be the second derivative of 3*w**2 + 0*w**4 + 1\/10*w**5 + 6*w + 0*w**3 + 0. Differentiate x(v) with respect to v.\nAnswer: 6*v**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(d) = -d - 2. Let k be n(-2). Let s = 112 - 253. Let j = -138 - s. Solve j*z - z = k for z.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 15199 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: In base 16, what is -a + 2e6c?\nAnswer: 2e62","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -49, -19, 69, 245, 539, 981, 1601?\nAnswer: 2429","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let q(c) = 6*c**2 + 3*c + 2. Let u(o) = -3*o**2 - o - 1. Calculate 2*q(s) + 5*u(s).\nAnswer: -3*s**2 + s - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 289\/(-578)*(-116)\/1?\nAnswer: 58","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 11491?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let w(z) = -4*z**3 - 2*z + 1. Let s be w(-3). Let n be s*(0 + (-1 - -2)). What is the greatest common divisor of n and 23?\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve d = -2*i + 3, 125*i - 127*i = 2*d for d.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in -0.5, -0.52, 1, -2?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let c(l) = 7*l**2 + 17*l + 3. Let n be c(-5). Suppose -6 = n*t - 95*t. Solve t*q = -q - 4 for q.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 20650 and 16460.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Expand (1 + 3 - 2)*(-3*t + 2*t - 3*t)*(10*t + 3*t + 37*t).\nAnswer: -400*t**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve 37*d = -42*d + 237 for d.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 0*f**3 + 3 + 26 - 7 - 4*f**3 with respect to f.\nAnswer: -12*f**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 82275451 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Put -3, -1, 417 in increasing order.\nAnswer: -3, -1, 417","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 129 + 75 + 43 + -322?\nAnswer: -75","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Divide -5 by -206.\nAnswer: 5\/206","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-1 - 1 + 8*a + 6*a)*(-158428*a + 320*a**2 + 158428*a) to d*a**2 + i*a + r*a**3 + p and give r.\nAnswer: 4480","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-636)\/(-53)*-2*3\/12.\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 173*j - 173*j + 325*j**2 + 415*j**2 - 186*j**2.\nAnswer: 554*j**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 1829\/2 - 23761\/26. Factor -g - 578\/13*k**2 - 136\/13*k.\nAnswer: -2*(17*k + 2)**2\/13","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is 2 + 38ab1c?\nAnswer: 38ab20","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 1920050 and 550?\nAnswer: 550","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0.3, -3\/2, 278, -3, -5 in increasing order.\nAnswer: -5, -3, -3\/2, 0.3, 278","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 4 + (1*sqrt(100))\/(sqrt(5) + sqrt(15)\/sqrt(3)*2).\nAnswer: 2*sqrt(5)\/3 + 4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of -21811, -43638, -65465, -87292, -109119?\n\"Answer: -21827*n + 16","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let d(p) = 144441*p**2. Let r(f) = -6*f**2. Determine d(r(j)).\nAnswer: 5199876*j**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Put -3, 45, -4342 in decreasing order.\nAnswer: 45, -3, -4342","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 19371474 is divided by 82?\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 1220265?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: -172292 (base 15) to base 4\nAnswer: -10101230333","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 186 and 62.\nAnswer: 62","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 586 minutes after 10:19 AM?\nAnswer: 8:05 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 b and 1 v when two letters picked without replacement from tvhuybb.\nAnswer: 2\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*k - k + 7 = 2*w, 4*w = 2*k + 6. Suppose -3*p + w*p = 3*p. Put 1, -1, p in ascending order.\nAnswer: -1, p, 1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 3062021 divided by 5?\nAnswer: 3062021\/5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 17180 - 9136. What is the tens digit of s?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of -1355, -1638, -2103, -2744, -3555, -4530?\n\"Answer: u**3 - 97*u**2 + u - 1260","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (39 + -33)\/((-4)\/(-14)). Suppose -2*y = q - 16, 0 = 2*q + 5*y + u - 53. Solve 5*r + 4*t = -33, 5*r + q = 3*r - 3*t for r.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the eighth root of 3620 to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 611 minutes after 9:40 PM?\nAnswer: 7:51 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 2*((sqrt(52) - -2*sqrt(6292))\/sqrt(4) + 2 - (1 + sqrt(832) + sqrt(13) + -3 + 1))*6.\nAnswer: 36 + 168*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1336165 is divided by 1169.\nAnswer: 1167","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 2447*i**4 - 662*i**2*j + i + j + 809129 wrt i.\nAnswer: 29364*i**2 - 1324*j","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let w(n) = 2*n**2 - 25*n - 39. Let r be w(14). Suppose -3*a + 3*g = -r, -3*g + 5*g = -3*a - 2. Solve -4*m + 2*x - 12 - 10 = a, 0 = -4*m - 4*x + 8 for m.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tenth root of 49343 to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 4502111 to the power of 1\/2, to the nearest integer?\nAnswer: 2122","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let u be 2*(15\/(-2))\/(-3). Suppose 2*b - u*r + 69240 = 0, -2*b + 5*r - 3*r = 69234. Let a = b - 5385. What is a rounded to the nearest 100000?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (14\/(-21))\/(2132\/156)?\nAnswer: -2\/41","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 647 minutes before 1:30 PM?\nAnswer: 2:43 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let v be 0 + 1 + 18\/(-21). Let w = -1.226 + 1.026. Which is the smallest value? (a) v (b) -0.4 (c) 1.3 (d) w\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: 71 divided by 5\nAnswer: 71\/5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let a(m) = -m**2 + 402*m + 11032. Calculate a(-24).\nAnswer: 808","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -35*i**3 - 78*i**2 - 26*i + 107767 with respect to i.\nAnswer: -105*i**2 - 156*i - 26","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 0.49 + -0.4898. Round a to 4 dps.\nAnswer: 0.0002","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 4 s when four letters picked without replacement from {t: 9, o: 2, s: 5}?\nAnswer: 1\/364","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 w and 3 g when four letters picked without replacement from {w: 2, g: 7}.\nAnswer: 5\/9","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is 20 a factor of 1430?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is two ninths of a day in seconds?\nAnswer: 19200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let z be 108\/21 + (-3)\/21. Suppose -116 = z*y - 951. List the prime factors of y.\nAnswer: 167","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: 13524\/37191*22\/56*7*(2 - -93)\nAnswer: 95","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = j - 2*m - 1284, 5045 = -80*j + 84*j + 5*m. Is j > 1270?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 4734983 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 21.9 - 23.7. Let h = g - -3.8. What is the second smallest value in 18, -0.5, h, -0.4?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 355 minutes before 9:41 AM?\nAnswer: 3:46 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 231 plus -0.11?\nAnswer: 230.89","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -820*z + 153*z - 245*z.\nAnswer: -912*z","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 30722619.\nAnswer: 3, 661, 15493","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let h(u) = -22*u**2 + 6*u + 4. Let q(a) be the second derivative of 7*a**4\/12 - a**3\/3 - a**2\/2 + 5*a - 11. Calculate -3*h(s) - 10*q(s).\nAnswer: -4*s**2 + 2*s - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let y(h) = 6*h**2 + 11. Let q(w) = -w**2. Let z(o) = 1. Let g(r) = q(r) - 2*z(r). Let j(b) = -11*g(b) - 2*y(b). Let f(u) = 5*u**2. What is f(j(l))?\nAnswer: 5*l**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (m\/((m\/(m\/(m*m**2\/m)))\/m)*m*m)**(-10\/3)*(m*m\/m**(-5))\/(m*m*m**(-2\/13)) assuming m is positive.\nAnswer: m**(-59\/39)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Express 4041 - 1002*v**2 + 75 + 1005*v**2 in the form w + k*v**2 + t*v and give w.\nAnswer: 4116","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 4512 and 13480352.\nAnswer: 1504","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in 0.5, -1\/2, 2\/9, 209, 0.054?\nAnswer: 0.054","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let p(i) = 7*i + 118. Determine p(-16).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: -0.06 times -3567358\nAnswer: 214041.48","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 42 and 118823859.\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*d - 16 = -2*r, -r = -113*d + 115*d for r.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:42 AM and 4:25 AM?\nAnswer: 103","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is 5918307 a multiple of 2?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 442 is divided by 116.\nAnswer: 94","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (-774)\/548 + (-4 - (-44)\/8). Let w = d + -723\/3562. Which is greater: 1 or w?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is -17b0 + -625?\nAnswer: -2105","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let c(i) = 31*i + 163. Let u be c(-5). Let k be (u\/14)\/(6\/21). Solve 11 = -k*l + 3 for l.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 494253642?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 466813270.\nAnswer: 2, 5, 7, 11, 606251","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*j + 485 = 2*j. Suppose -j*q + 10 = -92*q. Solve -b - 5*h + q = 0, 2*b - h + 1 = -6 for b.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(l) = -2*l + 12. Suppose 5*j - q = q - 17, -5*j - 5*q = 10. Let t be -1*(0 - j)*-2. Let x be r(t). Solve -3*f + 2*f - 5 = x for f.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Are -0.06 and -11918\/7 equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is 369551635 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -q + 5*w + 19 = 0, -q + w - 2 + 1 = 0. Let c be (-3)\/q + (-7)\/(-2). Let f(t) = t - 2. Let a(x) = x - 1. Let z(d) = 3*a(d) - 2*f(d). Calculate z(c).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 1462070?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 3589675.\nAnswer: 5, 139, 1033","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 5\/6 of a century in months?\nAnswer: 1000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let m be 10\/((-50)\/((-50)\/5)). Let p(j) be the second derivative of 3\/140*j**5 + 1\/70*j**6 + 0*j**m + 0*j**3 - 1\/98*j**7 - 3*j - 1\/28*j**4 + 0. Solve p(a) = 0.\nAnswer: -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve q + 5*a - 8 = -q, 0 = 5*q - 4*a + 13 for q.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is 581 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (6\/234)\/(1\/6). Let p be (4 + -6 + 90\/44)*4. What is the third smallest value in p, s, 3\/8?\nAnswer: 3\/8","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -9 times -42095?\nAnswer: 378855","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between 17795 and 0.01124?\nAnswer: 17794.98876","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Divide 26 by 2219.\nAnswer: 26\/2219","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 1860586 to the power of 1\/2, to the nearest integer?\nAnswer: 1364","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let g(z) = 4*z + 4. Let t(b) = -b. What is 2*g(r) + 10*t(r)?\nAnswer: -2*r + 8","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 240 minutes after 1:09 PM?\nAnswer: 5:09 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Sort -2, 13, -4, -21, -38, 7, -3.\nAnswer: -38, -21, -4, -3, -2, 7, 13","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let q(y) = 2*y**2 + 481. Let a(l) = 191*l + 41. Calculate a(q(v)).\nAnswer: 382*v**2 + 91912","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -277 - -277. Let m = 101 + -102. Sort 15, m, v in decreasing order.\nAnswer: 15, v, m","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 68930412527 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 24759?\nAnswer: 3, 7, 131","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Factor 0 + 27\/8*h + 15\/4*h**2 + 3\/8*h**3.\nAnswer: 3*h*(h + 1)*(h + 9)\/8","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 2277809176 to the power of 1\/2, to the nearest integer?\nAnswer: 47726","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 16737219 is divided by 59563?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*u = 4*u + 50. Let n be u\/3*(-3)\/(-2). Solve 5*v + 0*v + n = 0 for v.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 399 by -204.\nAnswer: -133\/68","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 250 minutes before 2:26 PM?\nAnswer: 10:16 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) -2 (b) -1 (c) -0.3 (d) -5\/4 (e) 2 (f) 27\/316 (g) -3\/4\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let h(d) = 3*d**2 - 112*d + 90. Let p be h(37). Suppose -34*l = -p*l - 456. Put -2, -1, l in ascending order.\nAnswer: l, -2, -1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 61*d - 62*d = -75. Let p = -74 + d. Solve -i + p = -0*i + z, 5*z + 15 = -i for i.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -113599\/5 or 3?\nAnswer: -113599\/5","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 10 + -6. What is the units digit of w?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -8378 - -8389. Solve -b*p = 421 - 377 for p.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*c = 16 + 14. Solve 21 = c*i + 3*y, -2*i + 5*y + 1 = 5 for i.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -50636 - 4241 = -11*o - 10767. What is the tens digit of o?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -47 + 55. What is the least common multiple of c and 18\/4 + (-1)\/(-2)?\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 273503 is divided by 1647.\nAnswer: 101","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*n + 2*n = -8. Let r be (-14)\/n - (-4)\/8. Find the third derivative of -5*l**2 - l**6 + 0*l**2 + r*l**2 wrt l.\nAnswer: -120*l**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 22 + 3 = 5*n, 0 = 3*b - n + 5. Suppose b*x = -x + 1. Calculate the highest common divisor of 1 and x.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 73223.\nAnswer: 37, 1979","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -838\/9 - -93. Let v be (-7)\/(-14)*16\/6. What is the third smallest value in g, v, 1?\nAnswer: v","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (2 - 0 - -4) + -1?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-6*o**5 - 10*o**5 - o**5)*(5 + 5 - 6)*(0 - 2 + 7)*(2 - 2 - 1).\nAnswer: 340*o**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from ddubysbbyyduyybbb. Give prob of sequence dy.\nAnswer: 15\/272","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let k(v) = -v**3 + 7*v**2 + 10*v + 7. Suppose -91 + 46 = -5*m. Let r be k(m). Let d = 210 + r. Is d a multiple of 29?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:31 AM and 5:21 AM?\nAnswer: 170","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is -2\/3 less than or equal to -2\/5313961?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 1674 + 1209 = 31*o. Suppose -3*h - 2*h + 169 = -2*f, -3*h + 4*f = -o. Let g be 6\/(-4)*(-1120)\/6. Calculate the highest common divisor of h and g.\nAnswer: 35","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-2*sqrt(104))\/sqrt(2))\/(sqrt(36)\/(sqrt(324) + sqrt(9))).\nAnswer: -14*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let w be -269 + -1 - (1 - 6). Let i = w + 270. Solve -i*y = 12 + 8 for y.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -1 + 4. Suppose 3*g = -2*q + 225 - w, -5*q = 15. Suppose -3*d - 4 = n - g, n = -3. Is d composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*m = -3*v + 818150 - 218147, -3*m + 4*v = -599996. What is m rounded to the nearest 100000?\nAnswer: 200000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 1906\/63 - 262\/9. Suppose r*d - 2\/7*d**4 + 8\/7*d**3 - 2\/7 - 12\/7*d**2 = 0. Calculate d.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 14\/(-70)*17\/(-6324)*-60?\nAnswer: -1\/31","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 1 - 16 - (239 - 213) - (-4 + 1).\nAnswer: -38","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -412\/5 + 2879\/35. Which is the second smallest value? (a) h (b) -1 (c) 0.005 (d) 2 (e) 3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (p**3)**33\/(p**(1\/21)*p**(-1\/2)) assuming p is positive.\nAnswer: p**(4177\/42)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from fqqgf. What is prob of picking 1 f and 1 g?\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is 12 - 10120?\nAnswer: -10101","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 43 - 39. Let b = m - 3. Let h(c) = 6*c**2 + c + 1. Let v(a) = 13*a**2 + 2*a + 3. Let o(u) = 5*h(u) - 2*v(u). Give o(b).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (1 + -3)\/(-3*8\/300). Suppose -2*w = -v*w - 3*w. Solve w = b - 2*b - 5 for b.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(r) be the first derivative of -r**4\/4 - r**3 + r**2\/2 - 6*r - 139. Calculate f(-4).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(136) + 5*-2*sqrt(136))\/(sqrt(128)\/sqrt(4)).\nAnswer: -9*sqrt(17)\/2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let r(i) = i**2 - 10*i + 3. Let y(l) = -11*l + 1. Let w be y(-1). Suppose -3*z + 43 = -5*c, -5*c = z + z - w. Is r(z) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:05 PM and 7:32 PM?\nAnswer: 387","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is -10300 + -221?\nAnswer: -11121","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 263.3 + -263. Which is the third smallest value? (a) 5 (b) l (c) 0.1 (d) -0.5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*c + 1332 = 5*z - z, 0 = 3*c - 4*z - 1020. Let g = c + -123. Does 11 divide (g\/4)\/(-4*4\/(-64))?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of -27, -44, -61, -78, -95?\n\"Answer: -17*i - 10","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((s\/s**(-2))\/(s*s**(-3\/5)))**(-3\/25)*s**3*s*s**(-3\/5)*(s**(1\/2))**(1\/3) assuming s is positive.\nAnswer: s**(2441\/750)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -9*o + 20 + 16 = 0. Is o a multiple of 3?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -4*y**2 - 495608*y + 2478140.\nAnswer: -4*(y - 5)*(y + 123907)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 636 minutes after 7:08 AM?\nAnswer: 5:44 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -4*y**2 - 5*y**2 + y**2.\nAnswer: -8*y**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 68, 184, 290, 380, 448, 488, 494?\nAnswer: 460","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*p + 140 = -2*p. Let f = 3 - 1. Suppose j = -f + p. What is the tens digit of j?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: 831 - 879 - (-24 + -3)\nAnswer: -21","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 32 = 2*v + 3*l - 5, -3*l + 9 = 0. Suppose -f + 37 = 33. Calculate the remainder when v is divided by f.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-27*c**3 + 3*c**2 - 5*c**2 - 34*c**3)*(0 + 1 + 4 - c) to k*c**3 + l*c + h*c**2 + w*c**4 + r and give l.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8*t + 5*t + m = 102, -3*t + 5*m - 90 = 0. Let j = t + 39. Put j, 3, 7.3, -0.1 in ascending order.\nAnswer: -0.1, 3, j, 7.3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(o) be the second derivative of -o**5\/5 + o**4\/3 - 7*o**3\/3 - o**2 - 41*o. What are the prime factors of m(-5)?\nAnswer: 2, 167","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0? (a) 0 (b) 2 (c) -2\/49 (d) 0.7\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let c(m) be the second derivative of -m**8\/84 - m**5\/30 + 3*m**2\/2 + 2*m. Let b(q) be the first derivative of c(q). Find the third derivative of b(f) wrt f.\nAnswer: -240*f**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose y = -x - 5, -5*x + 3*y + 0*y = -7. What is the common denominator of (-414)\/(-60) - x\/(-1) and -38\/11?\nAnswer: 110","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 155 and 40331?\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Put 2, 5, 18, -12 in descending order.\nAnswer: 18, 5, 2, -12","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Work out -697 * 3.\nAnswer: -2091","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is -683160 + -222?\nAnswer: -683382","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is -94132.06562 plus 44?\nAnswer: -94088.06562","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 31070*k**4*o - 3*k**4 + 468403*k*o wrt k?\nAnswer: 372840*k**2*o - 36*k**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-39)\/(-3) - (-10374)\/(-858).\nAnswer: 10\/11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*t - 26 = 3*m, -2*m - 3*t + 0*t = 24. Let c be (-20)\/(-8) - 9\/m. Suppose -c*o + 7*o + 3*s - 342 = 0, -3*o + 326 = -5*s. Is o a multiple of 16?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-781*d - 33476 + 33476)*(1 + 2 - 4).\nAnswer: 781*d","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let h(u) = 5*u**2 + 15*u + 1. Let x(n) = 5*n**2 + 14*n. What is 2*h(p) - 3*x(p)?\nAnswer: -5*p**2 - 12*p + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Put 0, 5, -75 in descending order.\nAnswer: 5, 0, -75","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 161\/608700 and -127\/7791360?\nAnswer: 38956800","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*t - 6590 = -5*c, 28*c - 5*t - 1288 = 27*c. Is 1313 != c?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence np when two letters picked without replacement from {n: 1, p: 1, e: 2}?\nAnswer: 1\/12","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*z + 30 = 5*y, -4*z + 6*z - 8 = -y. Solve -2*f = -y*f - 6 for f.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2325321.\nAnswer: 3, 71, 1213","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*l = -4*j + 48, 0 = -4*j - l - 4 + 42. Suppose i - 4 - j = 0. Suppose -2 = -x - a, 0 = -x + 2*a + 3*a + i. Does 3 divide x?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 4389 and 198.\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of 412, 400, 364, 292, 172, -8, -260?\n\"Answer: -2*g**3 + 2*g + 412","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 58, 56, 64, 88, 134, 208?\nAnswer: 316","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let p(f) = f**3 + 36*f**2 - 23*f - 241. Is p(-32) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 2 + -2.2. Let k = h + 1.8. Let z = k - 1.59924. What is z rounded to 4 decimal places?\nAnswer: 0.0008","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(t) = 67*t**2. Let m(f) be the first derivative of f**4\/12 - 52*f + 65. Let i(r) be the first derivative of m(r). Determine i(d(z)).\nAnswer: 4489*z**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 9*r - q + 1 = 4*r, 4*r + 4*q = -20. Let c(f) = -2*f**2 - 7*f - 6. Let t be c(-4). Let v = r - t. Calculate the remainder when 16 is divided by v.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 37805?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (b\/((((b\/(b\/((b\/(b*b**(-1\/2)\/b))\/b)))\/b)\/b)\/b))**(-2\/129)\/((b\/(b*b**18))\/(b\/b**(-10\/9))) assuming b is positive.\nAnswer: b**(7762\/387)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -7 - -6.9. Let f = -6.81 + -0.12. Let k = f - 0.07. Which is the closest to l? (a) 5 (b) -2\/7 (c) k\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0.1? (a) -1611 (b) 3\/4 (c) -2\/12753\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*s + 3*a = -6*s + 9, 3*s + 4*a = 5. Suppose 0 = -s*z - 4 + 13. Find the third derivative of x**3 + 2*x**6 + z*x**6 - x**3 + 12*x**2 wrt x.\nAnswer: 600*x**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:06 AM and 6:30 AM?\nAnswer: 144","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: How many litres are there in 325.8858ml?\nAnswer: 0.3258858","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((o*o**18*o)**(7\/5))**(-2\/39) assuming o is positive.\nAnswer: o**(-56\/39)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let c(s) = -2*s**3 + 99*s**2 - 44*s - 242. Determine c(49).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Work out -30077 + 0.29.\nAnswer: -30076.71","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let v(y) = -9*y + 6. Let n(j) = -8*j + 5. Let f(c) = -6*n(c) + 5*v(c). Determine f(2).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: -903 (base 15) to base 3\nAnswer: -2210010","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 120455626933 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 635 and 33401.\nAnswer: 127","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 62076785*z**2 - 35264117.\nAnswer: 124153570*z","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let n be 702\/144 - (-1)\/8. Suppose 3*u + g + 0*g = -14, n*u + 26 = -3*g. Let b(f) = -f + 3. Let p be b(-3). Put u, 5, p in decreasing order.\nAnswer: p, 5, u","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -5*k**3 + 4*k**3 + 3 + k**4 + 4*k**2 - 6*k**2 to r*k + b*k**2 + x*k**3 + g + j*k**4 and give x.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is -7bb0 - 48?\nAnswer: -7c18","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 2 - -4. Let p(j) = -j**3 + 7*j**2 - 5*j - 7. Let k be p(s). Let f be 2*1\/(k*2). Which is bigger: f or 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 13 = w + 2*p, 3*w - 2*p = -6*p + 29. Suppose -5*g + 29 = w*d, -2*d + 9 = g - 3*d. Calculate the greatest common divisor of 77 and g.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -e (base 15) to base 14.\nAnswer: -10","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let z(i) = -7*i**3 - 8*i**2 - 4*i + 4. Let h(x) = -6*x**3 - 9*x**2 - 5*x + 3. Suppose w + 0*w - 5 = 0. Let c(k) = w*h(k) - 4*z(k). Is c(-8) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 303033 (base 4) in base 5?\nAnswer: 101104","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Work out -6.4793 + 50.4956273.\nAnswer: 44.0163273","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: 1.9 times 0.0532\nAnswer: 0.10108","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is 377c - 4?\nAnswer: 3778","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Express (0 - y**2 + 0)*((3 - 9 - 1)*(5 - 3 + y - 1) - 4*y + 4*y - y) as f*y**3 + o + l*y + r*y**2 and give r.\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: -0.093 * -7\nAnswer: 0.651","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*g - 5*f = -g, -g + f = 0. Let w = 5.4 + -5. What is the closest to g in -5, -2\/3, w?\nAnswer: w","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 14, -3\/22, -21.51 in descending order.\nAnswer: 14, -3\/22, -21.51","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 11414000 rounded to the nearest 100000?\nAnswer: 11400000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in -3, 2\/9, 22\/9, -1\/3, -3.9?\nAnswer: 2\/9","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let r(j) = j**3 + 40*j**2 - 177*j + 20. Let o be r(-44). Solve 0 = 48*x - o*x + 32 for x.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3183*p + 1541*p + 66955 = 819 for p.\nAnswer: -14","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Product of 0.04 and -0.04.\nAnswer: -0.0016","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (o**(-21))**(-46)*o**(3\/19)\/o**(10\/9) assuming o is positive.\nAnswer: o**(165023\/171)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-5*(sqrt(11)*2 + -3) + (1 + sqrt(1584) - (4*(sqrt(11) + 2) + sqrt(11))))**2.\nAnswer: -48*sqrt(11) + 163","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 15 = 213*h - 218*h for h.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {s: 3, n: 6, y: 1, m: 3, h: 3}. Give prob of picking 3 n and 1 m.\nAnswer: 3\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 123 + -4. Is j prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -1084*r - 687*r - 644*r + 2.\nAnswer: -2415*r + 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: -13 divided by 18446358\nAnswer: -13\/18446358","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 483017 is divided by 348.\nAnswer: 341","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (176\/440)\/((-6)\/105*-1)?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 l when two letters picked without replacement from {l: 7, j: 4, p: 4}.\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 7799.719us in seconds?\nAnswer: 0.007799719","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-11 - 2 + 6)*(-4*a + 4*a - 4*a)*(-53*a**3 + a**2 - 5 + a**2 + 49*a**3).\nAnswer: -112*a**4 + 56*a**3 - 140*a","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 7056 a multiple of 49?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let z(d) = d**2 + 8*d + 40. Is 12 a factor of z(-10)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*t + 10 = -2. Let j = 8 - 8. Suppose j + 5 = -5*m. Sort t, m, 5.\nAnswer: m, t, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 359291 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of 1196, 9606, 32466, 77006, 150456, 260046, 413006?\n\"Answer: 1205*u**3 - 5*u**2 - 10*u + 6","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand 0*b - b + 2*b - 3*b + 2*b + 0*b + (-2 + 1 - 1)*(b + b - b) + 63*b + 10*b - 20*b.\nAnswer: 51*b","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (1 + 0)\/((-6)\/(-12)). Let f(i) be the third derivative of 1\/48*i**4 + 1\/840*i**7 - 1\/240*i**6 - 1\/240*i**5 + 0*i + 0 - i**b + 0*i**3. Factor f(w).\nAnswer: w*(w - 2)*(w - 1)*(w + 1)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of (399\/(-70))\/((-48)\/10) and 97\/16?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 3740 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: Let x(y) = 7*y**2 - 3*y + 9. Let o(c) = 11*c**2 - 5*c + 14. Let m(d) = -5*o(d) + 8*x(d). What are the prime factors of m(-6)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth biggest value in 2, 0, -4, -1, 0.01, 31, 0.05?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -776*w**2 - 477*w**2 - 3*w + 3*w - 97*w**2.\nAnswer: -1350*w**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*w - 3*s, w + 4*s - 1 = 2. Let m be 616\/32 - (-3)\/4. Let d = m - 20. Is w equal to d?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ys when two letters picked without replacement from {g: 1, s: 1, y: 1, j: 2}.\nAnswer: 1\/20","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let r be 2\/(-4)*(16 - 30). Is r at most as big as 7?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: 144 divided by -4\nAnswer: -36","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in -0.1, 5\/11, -2, -4, 0.5?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-32*h - 82*h - 79*h + 39*h)*((5*h + 9*h - 10*h)*(-3 + 2 - 6) - 1 - 2*h + 1).\nAnswer: 4620*h**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) -8 (b) 6 (c) -4 (d) 18\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 125 is divided by 8.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let w be ((-3)\/216)\/(3\/(-6)). Let f = 46005 + -11593195\/252. Let r = f + w. Which is the second smallest value? (a) -0.4 (b) r (c) -2\/3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -s**3 + 4193039*s**2 - 29351234*s + 41930320 = 0. Calculate s.\nAnswer: 2, 5, 4193032","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1874104 is divided by 624539?\nAnswer: 487","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -1 in -3, -1, -0.5, -27?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 175*k**2 - 6*k**3 + 5*k**3 + k**3 + 2*k**3.\nAnswer: 2*k**3 + 175*k**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let v(g) = -g**2 + 11*g + 25. Let o be v(-2). Let w be ((-2)\/(-2))\/(19\/(-2)). Which is the second smallest value? (a) w (b) o (c) 1\/3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*r + r - 125. Let m = r - -13. Let p(s) = -s**2 - 19*s + 5. Let k be p(-10). What is the highest common divisor of k and m?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 10 + -6. What is the units digit of (r\/(-10))\/(1\/(-10))?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(252) + -4 + -4 + sqrt(252) - sqrt(252))**2 - 4*(2 + sqrt(252))) + 1.\nAnswer: -120*sqrt(7) + 309","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 12299418?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*o - 3 = o. Let g be o\/(-6) + 36\/8. Suppose -3*d - 2*u = -0*d - 75, 3*u + 100 = g*d. Calculate the highest common factor of 250 and d.\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -5, -3, 13, 27, 4, 7 in ascending order.\nAnswer: -5, -3, 4, 7, 13, 27","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Put 0, 5472, 157, -5 in decreasing order.\nAnswer: 5472, 157, 0, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve 6*v - 4*d = -8, 2*v + 9288*d - 9284*d - 8 = 0 for v.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let w(k) be the third derivative of -83*k**4\/8 - 2*k**2 - 43*k. Let u(o) = o**2. Calculate u(w(g)).\nAnswer: 62001*g**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the seventh smallest value in -3, 350\/27, -1, 2\/29, 16, 5, -0.2?\nAnswer: 16","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 220 divided by 44.\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve 27*p + 21 = 8*p + 16*p for p.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 5609?\nAnswer: 71, 79","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = y + 6*y + 42. Which is the biggest value? (a) 0.3 (b) -1 (c) y (d) 0\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(m) = -m + 2. Let b(l) = 4*l - 7. Let i(f) = 2*b(f) + 7*o(f). Calculate i(6).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.0001285212 rounded to five decimal places?\nAnswer: 0.00013","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 92737 is divided by 734?\nAnswer: 253","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let w(l) = l**2 - 2. Let n be w(-2). Let a be -1 + -5*(1 - n). Suppose -a*x + 36 = -60. What is the remainder when x is divided by 13?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(i) = i**3 - 28*i**2 + 27*i - 89. Determine y(27).\nAnswer: -89","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -11 - -15. What is the common denominator of o\/(-22) - 9955\/484 and 1\/4?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 14171 - 7717. Does 6 divide w?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of -522, -2172, -4958, -8886, -13962, -20192?\n\"Answer: -v**3 - 562*v**2 + 43*v - 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1, 5, 13, 31 in decreasing order.\nAnswer: 31, 13, 5, 1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 41\/85 + -71141\/147135. Which is smaller: u or 0?\nAnswer: u","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of 18, 29, 26, 3, -46, -127, -246, -409?\n\"Answer: -z**3 - z**2 + 21*z - 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve -20 = o + 3*s, 1243 - 1215 = -5*o + 3*s for o.\nAnswer: -8","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is 27228351 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (-5)\/15*-6 - -17. Let m = o + -52. Let t = m - -35. What is the lowest common multiple of t and 19?\nAnswer: 38","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -75593 != -2\/7?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is 20806485 + 0?\nAnswer: 20806485","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Convert 1 (base 6) to base 14.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 48 = 4*n + 4*o, 0 = -3*n + n + 4*o + 36. Suppose -4*v - n = -146. Is 11 a factor of v?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((2*sqrt(76) + sqrt(76))*6)\/(sqrt(256)\/sqrt(4)).\nAnswer: 9*sqrt(19)\/2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence bm when two letters picked without replacement from sqmuvbqb.\nAnswer: 1\/28","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*s - 10 = -5*r, 4*s + 26 = 8*s - 5*r. Suppose -3*y - h = 4*h, 0 = s*y - 4*h. Suppose -v = -y*g - 4*g, -v = 0. Let d(f) = -f + 3. What is d(g)?\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many milligrams are there in thirteen quarters of a gram?\nAnswer: 3250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the tenth root of 911 to the nearest integer?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from szzzkss. Give prob of picking 1 k and 1 z.\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -27 = -g - 2. Suppose 21*b = -17*b + 8512. Suppose -7*x = 126 - b. What is the remainder when g is divided by x?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 99391.\nAnswer: 99391","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Work out 0.9 * 30.\nAnswer: 27","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Express (4 + 4 - 6)*(-1 + 3*p + 1)*(-9*p**2 + 2*p**3 + 9*p**2 + 6) as d*p**4 + o*p**2 + y + l*p + z*p**3 and give d.\nAnswer: 12","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 23597 to the power of 1\/2, to the nearest integer?\nAnswer: 154","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*g**2 - g + g)*(-2 - 1 + 2)*(4*g - 8*g - g).\nAnswer: -10*g**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 58 - 49. Calculate the remainder when (2 + -19)*-1 - 2 is divided by f.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1809196518 to the power of 1\/2, to the nearest integer?\nAnswer: 42535","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 218923?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let d(o) = -3*o**2 + 2*o - 3. Suppose 2*w - 3*q + 4 - 30 = 0, 0 = -2*w + 4*q + 30. Let b(t) = -311*t**2 + 3*t + 304*t**2 + 2*t - w. Give 2*b(s) - 5*d(s).\nAnswer: s**2 + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is 26 a factor of 460400?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let o(p) = -3*p - p + p. Let w be (533\/(-65) - -9)\/((-4)\/10). What is o(w)?\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Product of -1147 and 33658.\nAnswer: -38605726","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*v = -4*s + 12, 4*v + 5*s - 6 = 3*s. Solve v*c - 16 = 5*l + c, -3*l + 3*c - 24 = 0 for l.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 h when two letters picked without replacement from {e: 8, h: 5}.\nAnswer: 5\/39","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1481*r = -3243*r - 71235 - 2769 for r.\nAnswer: -42","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 8497607.\nAnswer: 8497607","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of -647, -1289, -1931, -2573?\n\"Answer: -642*u - 5","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let f(o) = -o. Suppose 154 = -3*a + 2*c + 42, 3*c + 121 = -4*a. Let t = 31 + a. Let w(q) = 4*q. Give t*f(x) - w(x).\nAnswer: -x","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let q(u) = u + 3. Let x(l) = -1. Calculate q(n) - 2*x(n).\nAnswer: n + 5","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -1.6 in -10, 1\/4, 4\/9, -0.061?\nAnswer: -0.061","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Factor v**3\/5 + 2*v**2 - v\/5 - 2.\nAnswer: (v - 1)*(v + 1)*(v + 10)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let f(p) be the first derivative of -2*p**3\/27 - 2*p**2\/3 - 2*p + 3. Determine l so that f(l) = 0.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -19932\/127 + 66031675\/420624. Find the common denominator of -115\/864 and v.\nAnswer: 19872","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 1533 + -1565 + (127 - -2)?\nAnswer: 97","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -50383*a**2*q**2 - a**2 - 112291*a*q**2 wrt a?\nAnswer: -100766*q**2 - 2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -145*j**5 + 6973*j**2 - 449*j**5 - 137*j**5 - 92*j**5 + 8 - 6966*j**2 wrt j.\nAnswer: -49380*j**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -4*g**3\/7 + 40*g**2\/7 - 64*g\/7.\nAnswer: -4*g*(g - 8)*(g - 2)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -19*w - 2*w = -168. Suppose w*q = 14*q - 30. Solve q*k = 4*m - 5, 5*k - m - 2*m = 0 for k.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 29.95 to the nearest ten.\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -3*t + 2*y - 164, 35 + 761 = t + 9*y - 0 for t.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Work out 0.45 - 0.25198.\nAnswer: 0.19802","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 5133 and 29.\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0.08 in 11, 23, -2, 5\/6, 0.35, 0.4?\nAnswer: 0.35","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let j(m) = -m - 5. Let v be j(-6). Let q be (-6)\/8*(v + 7). Let g(c) be the first derivative of -c**2 - 4*c + 9. Calculate g(q).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 5*p**2 - p**2 - 1 - 488*p + 546*p.\nAnswer: 4*p**2 + 58*p - 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -76\/27 and -17\/22977.\nAnswer: 22977","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((sqrt(90)*-3)\/sqrt(2) - sqrt(45))**2 - (sqrt(450)\/(sqrt(10)*2))\/sqrt(9)) + 0.\nAnswer: -sqrt(5)\/2 + 720","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*r**5 - 8*r**4 + 8*r**2 + 4*r = 0. Calculate r.\nAnswer: -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Divide -1675 by 18.\nAnswer: -1675\/18","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6 = 4*g - 10. Suppose 0 = -4*w - g - 12. Let t(k) = 4*k. Let l be t(1). Put l, w, -3 in ascending order.\nAnswer: w, -3, l","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0.1 in -0.13, -4\/5, 0.5, 2\/5?\nAnswer: -0.13","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -10.6 + 11.37. Let a = -74.23 - m. Let h = a - -75.082. Round h to 2 decimal places.\nAnswer: 0.08","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 9403.498 years in centuries?\nAnswer: 94.03498","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*o = 5*i + 210, -7 = -o - 4*i - 58. Let c = 152 + o. Is c a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((((z*z*z\/z**(-3\/4)*z)\/z)\/z)\/(z*z\/z**(-2\/5)))\/((z*z**(-2\/9))\/(z\/z**(-2\/5))) assuming z is positive.\nAnswer: z**(35\/36)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of 5075, 10136, 15197, 20258, 25319?\n\"Answer: 5061*n + 14","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let k(p) = p**2 - p. Let m(w) = 3*w**2 + w - 1. Calculate 2*k(j) - m(j).\nAnswer: -j**2 - 3*j + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) 103 (b) -3\/7 (c) 4\/3 (d) 3\/34\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let s(a) = -a**2 + 6*a - 3. Let h be s(5). Find the third derivative of -3*d**2 - h*d**2 + 3*d**3 + 3*d**2 wrt d.\nAnswer: 18","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 4\/18 - 16494\/(-2808) - 6\/(-39).\nAnswer: 25\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1060*l + 3109*l - 53611 = -12631 for l.\nAnswer: 20","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let z(a) = -25163*a. Let w(d) = -1595*d. Calculate w(z(j)).\nAnswer: 40134985*j","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-16 - 19 + 18)*(-7 + 3 + 1)*(2 - 3 + 2*x - 1).\nAnswer: 102*x - 102","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -c - 4*j - 11 = -j, c - 29 = 5*j. Suppose a - c*a + 6 = 0. Solve 2*t - 4 = a for t.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:27 AM and 3:39 PM?\nAnswer: 552","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let p(i) be the second derivative of i**3\/6 + i**2 + 3*i. Let x be p(2). Find the second derivative of 10*u - 7*u**4 - 31*u**2 - 6*u**x + 31*u**2 wrt u.\nAnswer: -156*u**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*x = f + 8, 36 = 3*f - 0*f + 3*x. Suppose 0 = m - 3*w - 20, m = 2*m - 2*w - 16. Calculate the greatest common divisor of m and f.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 5.239 - 5.128. Which is the closest to 8? (a) t (b) -2\/15 (c) -2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -81071 - -140071. Is o a multiple of 200?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(v) = 5*v**3 - 3*v**2 + 2*v. Let b(k) = -2*k**2 + 18*k**2 - 19*k**3 - 7*k**3 - 10*k. Suppose 0 = 5*y + 2 - 17. Let d = -28 + 44. Calculate d*w(h) + y*b(h).\nAnswer: 2*h**3 + 2*h","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth smallest value in 0, 1, -3.5, -6, 2?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 721628.\nAnswer: 2, 223, 809","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let n(a) = 24434*a**2 - 3*a. Let g(s) = s**2 + 11*s - 81. Let h be g(5). Is n(h) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -0.2 in -3\/4, 2, -1, -5?\nAnswer: -3\/4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve -310*m - 23451 = -1156*m - 67443 for m.\nAnswer: -52","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 29616343?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.0001041 to 5 dps.\nAnswer: -0.0001","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((2800\/(-7))\/10)\/(116\/58).\nAnswer: -20","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*t - 4*n - 48 = -2*t, -t = 3*n + 12. Let a be (t\/2)\/(6\/39). Let k = 0 - a. Is 15 a factor of k?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 43 - 51. Let u(a) = -a**2 - 3*a + 9. Let z be u(-6). Let n = 12 + z. What is the third biggest value in l, n, 0.5?\nAnswer: l","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-4)\/(-16))\/(3\/3)?\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -17*f**3 + 53*f**3 - 18*f**3 - 76*f**2 - 17*f**3 + 1568*f**2.\nAnswer: f**3 + 1492*f**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -124 - -232. Let g = w + -103. Solve 0 = -x + g*x - 12 for x.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(s) be the third derivative of s**7\/525 + s**6\/60 + s**5\/50 - 3*s**4\/20 - 13*s**2 + 2. What is g in v(g) = 0?\nAnswer: -3, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -11 divided by -901.\nAnswer: 11\/901","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (0 + -7 + 1)*64\/(-128). Solve 2*d + 0*d + 4 = 2*h, -x*h = -5*d - 12 for h.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence oot when three letters picked without replacement from {g: 1, u: 1, p: 3, o: 2, h: 1, t: 3}.\nAnswer: 1\/165","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 538 and 274649.\nAnswer: 269","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is -762 - 1225?\nAnswer: -2207","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -0.3955 and -3?\nAnswer: 1.1865","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from xnuxnuun. What is prob of sequence ux?\nAnswer: 3\/28","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (16 + 2*w - 29 + 25)*(3*w**2 - 2*w**2 + 8*w**2)*(-2 - 4 + 4) to the form m + f*w**3 + h*w**2 + p*w and give h.\nAnswer: -216","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 82480250*z**6 + 64*z**2 + 5173*z - 1 wrt z.\nAnswer: 9897630000*z**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let s(q) = 6*q**2 - 31*q + 63. Let p be -8*(-3)\/(6\/11). Suppose v - p = -0*v. Calculate the least common multiple of s(3) and v.\nAnswer: 264","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -3.1 and 608947.4?\nAnswer: -1887736.94","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 840?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -1.957 + -160.043. Which is the second biggest value? (a) -2\/3 (b) 4 (c) m\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -1 + 1 + q - 2 + 2 + q + 2*q + 2*q - 3*q + (4 - 1 - 2)*(-5*q + 3*q + 0*q) + q - 2*q + 5*q as a*q + l and give a.\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -5*b + 2*b. Suppose 5*a - 65 = -5*n, n - 2*n - 5*a + 29 = 0. Suppose n = j - b. What is the highest common factor of j and 99?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of -37284, -74290, -111296?\n\"Answer: -37006*z - 278","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 4968 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: Multiply 0.29 and 4.\nAnswer: 1.16","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve 380*k - 20*k + 4652 - 4510 = 21382 for k.\nAnswer: 59","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*t = v + 25, 2*t + 10 = -2*v - 2*t. Let g = -11 - v. Solve g*w = -0 - 4 for w.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 301 - 306. What is the nearest to 6 in 0.1, o, -3, 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 151933721 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 10772 to the power of 1\/3, to the nearest integer?\nAnswer: 22","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 126 + (-25 - -16) + (1 - 5) - (0 + 12).\nAnswer: 101","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 3.777235ug in tonnes?\nAnswer: 0.000000000003777235","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 5\/300*(-3)\/(-2)*15\/(-6).\nAnswer: -1\/16","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -23*y - 24*y - 26*y + 14 - 6*y + 83*y.\nAnswer: 4*y + 14","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Convert 8.725453 nanograms to tonnes.\nAnswer: 0.000000000000008725453","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is -3 + 141?\nAnswer: 135","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in -0.8, 7\/3225, 1\/2?\nAnswer: 7\/3225","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Does 92 divide 607?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -41 + 44. Let p(f) = -11*f**2 + 16*f**3 - 9*f - 9 + 18*f**y - 29*f**3. Let t(j) = -2*j**3 + 5*j**2 + 4*j + 4. Determine -4*p(b) - 9*t(b).\nAnswer: -2*b**3 - b**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -2\/3 in -63, 4, -0.27, -2\/5?\nAnswer: -2\/5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 4 - 7. Let u(q) be the second derivative of q**4\/12 + q**3\/3 - q**2 + 2*q. Calculate the remainder when 2 is divided by u(t).\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*k - 3*a = a, 0 = -3*k + 5*a for k.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 23169, 92759, 208765, 371181, 580001, 835219, 1136829, 1484825?\nAnswer: 1879201","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand 4*a**2 - 2*a**2 - a**2 + (3*a + a - 5*a + 2*a - 5*a + a + (1 + 0 - 2)*(a + 0 + 0))*(-7*a + 8*a - 9*a).\nAnswer: 33*a**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Expand -1 + 1 + 2*n + (4*n - 3*n + 0*n)*(-1 + 3 - 1) - 3 - 2*n + 3.\nAnswer: n","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 179*j*t + j - 337*t wrt j?\nAnswer: 179*t + 1","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -26 = h - 30. Is 32\/9 > h?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor k**4\/7 - 56110*k**3\/7 + 10748544*k**2\/7 - 98197504*k + 14658568192\/7.\nAnswer: (k - 55918)*(k - 64)**3\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -2*f**2 - 687*f**3 + 6*f - 84 - 6*f + 686*f**3 to m + o*f**3 + q*f**2 + d*f and give o.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 867?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -855 divided by -285.\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 12563 and 102.\nAnswer: 75378","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: How many centimeters are there in 6034.348 millimeters?\nAnswer: 603.4348","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: (6 - 0) + (14 - 16) + -1\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (-1 - (-26)\/24)\/(5\/20). Let t = 0 + -1. Let j = -1.3 - 1.7. Sort j, t, d in decreasing order.\nAnswer: d, t, j","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 2*w + 2*l - 4, -16 = -2*w - 4*l - l for w.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is -5 + 37 + -22 - 10 - -8?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -6? (a) -0.4 (b) 6\/17 (c) 2\/11\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 4*r - b - 2, 11 = -r + 4*b + 19 for r.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*k**2 + 1\/2*k**3 + 0 + 2*k.\nAnswer: k*(k - 2)**2\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(g) = g**2 - 8*g + 5. Let o be m(8). Let i(a) = -5*a + 2 - a + 34*a + 7. Is 12 a factor of i(o)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from zazazzazaz. Give prob of sequence aza.\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2555971610?\nAnswer: 2, 5, 67, 1361, 2803","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is 64296 a multiple of 19?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*y = b - 0*y + 10, -5*y + 20 = 0. What is the remainder when 35 is divided by ((-2)\/(-6))\/(b\/(-60))?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -73? (a) -2\/19 (b) -4 (c) -1\/7\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 2292.973 litres in millilitres?\nAnswer: 2292973","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 7*c + 3*c + 10*c to the form d + v*c and give v.\nAnswer: 20","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -291842419.99999924 - -291842431. Let a = -11 + g. What is a rounded to seven decimal places?\nAnswer: 0.0000008","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose x = 4*x - 15. Solve 0 = -4*z + 3*z + x for z.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) -0.4 (b) 96 (c) -1\/8 (d) 4\/7 (e) 0.2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 78302 to the nearest integer?\nAnswer: 43","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let f(k) = k + 7. Let r be f(0). Let v = r - 7. Suppose 30 - 22 = 2*p. Solve 4*y = -v*y + p for y.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many kilograms are there in three tenths of a tonne?\nAnswer: 300","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*x = -3*l + 80, 2*l + 4*x = -0*l + 60. Suppose -5*r = -3*k + 34, 2*k - 6 = 4*r + l. Suppose 3*a + 7*h - 2861 = 6*h, -4*a - k*h = -3818. Is a composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: -461 - -490 - (-2 - -1 - (7 + -15))\nAnswer: 22","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 74633340 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: Simplify (m**1)**(3\/5)\/(m**(-2\/9)*m)**(-2\/29) assuming m is positive.\nAnswer: m**(853\/1305)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Expand (h**2 + 0*h**2 - 2*h**2)*(h + h - h) + (-5*h + 4 - 4)*(5*h - 4*h + 0*h)*(-6*h + 37*h - 3*h).\nAnswer: -141*h**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let m(i) be the third derivative of 7\/12*i**5 + 0*i**3 + 39*i**2 - 2*i + 0*i**4 + 0. Let r(b) = -5*b. Calculate r(m(n)).\nAnswer: -175*n**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.04606458 to 4 dps.\nAnswer: 0.0461","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 329510109?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*n - 651 = -86. Let s = 188 - n. Let p = -5 + 20. What is the greatest common factor of p and s?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -29*o - 1583584 = -36*o - 75*o. Is 68 a factor of o?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of (14 + -1)*(1 + 4)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(k) = 6*k + 1. Let u be w(9). Calculate the highest common factor of 5 and u.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: 13770 divided by 73\nAnswer: 13770\/73","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 166 - -3026. List the prime factors of f.\nAnswer: 2, 3, 7, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 576 minutes before 6:29 AM?\nAnswer: 8:53 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -0.5 and 6619.\nAnswer: -3309.5","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (0 - -1)\/((-10)\/290). Let l = -9 - c. Is l a multiple of 10?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (o**(-1\/5))**(-42)*(((o\/(o*o*o**(-8)))\/o)\/o)**(1\/7) assuming o is positive.\nAnswer: o**(319\/35)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 32292, 63954, 95630, 127320, 159024, 190742?\nAnswer: 222474","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve i**2\/6 + 2233*i\/3 + 4986289\/6 = 0 for i.\nAnswer: -2233","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 0 + 44 - (-29 + 39) - 16?\nAnswer: 18","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 10 - 33. Let o be (-416)\/(-9) - 4\/18. Let n = o + y. Is n prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in -0.01, 0.11, 0.08?\nAnswer: -0.01","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*l = l + h + 3422, 2*h - 2561 = -3*l. Suppose 3459 - 69 = 3*g. Suppose 5*u - l = g. Is u a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 15*m = 13*m. Suppose m = 3*r - 4*r + 1. Let n be (-368)\/(-64) + (-4 - (3 - 1)). Which is the closest to r? (a) 1 (b) n (c) -0.4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(b) = -b**3 - b**2 - 3*b + 10. Calculate c(0).\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Does 9 divide 344 - (-8 - -41)\/3?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 5*a + 2 + 83. Is a at most as big as -78\/5?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(h) = -h**3 + 370*h**2 - 3590*h - 109. Determine j(10).\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is 7702046447 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -21 - 3 = -3*p. Let h be 4\/(1\/((-9)\/(-3))). What is the highest common factor of h and p?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 8\/(-28) - (-170)\/154 and 95\/2.\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(d) = -9*d**2 - 6. Let x(v) = -8*v**2 - 5. Let z(q) = -q**2 - 23*q - 83. Let j be z(-18). Calculate j*x(p) - 6*y(p).\nAnswer: -2*p**2 + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 101417037*m**2 - 8363*m + 714.\nAnswer: 202834074","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 2893 is divided by 181?\nAnswer: 178","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: -9617+395\nAnswer: -9222","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 362430523?\nAnswer: 7, 13, 1031, 3863","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let p(h) = -9*h**2 + 47*h - 3. Let x(o) = 9*o**2 - 49*o + 7. Give -3*p(c) - 2*x(c).\nAnswer: 9*c**2 - 43*c - 5","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: ((154\/84)\/11)\/((-8)\/6)\nAnswer: -1\/8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: 1587 divided by -529\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let d(u) = 22*u + 9. Let t(o) = -47*o - 21. Let n(m) = 5*d(m) + 2*t(m). Calculate n(4).\nAnswer: 67","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 48 + -6. Suppose i = 5*k - 113. List the prime factors of k.\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 28 and 35560.\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -1019 + 677. Is d\/(-4)*6\/9 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) -0.3 (b) -4 (c) -4\/135\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of 197, -791, -1769, -2737, -3695, -4643?\n\"Answer: 5*l**2 - 1003*l + 1195","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (-11 - -10)*12\/(-2 + -1). Suppose 5*l - k*i = 21, 5*l = 8*l - 5*i - 10. Solve -5*o + 10 = l for o.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 193*t + 18 - 46 = 200*t for t.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is 15899 >= 15468?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((m\/m**(-1))**(-11)\/((m*m*m**3)\/m**(-2\/11)))**(-5) assuming m is positive.\nAnswer: m**(1495\/11)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 943 and 533697.\nAnswer: 41","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -s = -17*s - 28*s + 1144. What is the remainder when 178 is divided by s?\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -11\/8 and -113\/793764?\nAnswer: 1587528","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let q(r) = -5*r + 7. Give q(0).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Find c, given that -10*c**3 - 2*c**3 + 60 - 244*c**2 + 27 - 81 + 172*c + 78 = 0.\nAnswer: -21, -1\/3, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(v) = 2*v**3 - 11*v**2 - 9*v + 22. Let o be h(6). Solve -o*c = -5*c for c.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 58 + -52 + (-5 - (-1 + 2))?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let z(r) be the second derivative of 1\/3*r**3 - 1\/4*r**4 + 0*r**2 - 8*r + 0. Find the second derivative of z(l) wrt l.\nAnswer: -6","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(r) = r**3 + 18*r**2 - r - 29. Let l(o) = 2*o**3 + 23*o**2 - o - 28. Determine -5*j(y) + 4*l(y).\nAnswer: 3*y**3 + 2*y**2 + y + 33","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in 1\/227, -89, -676\/3?\nAnswer: 1\/227","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 197 minutes after 11:53 PM?\nAnswer: 3:10 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of 28, 97, 228, 451, 796, 1293, 1972?\n\"Answer: 5*v**3 + v**2 + 31*v - 9","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let f(a) = 6*a**2 - 26*a. Let h(g) = -29*g + 2586. Let w be h(89). Let k(r) = -4*r**2 + 17*r. What is w*f(i) + 8*k(i)?\nAnswer: -2*i**2 + 6*i","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 506699314 to the power of 1\/2, to the nearest integer?\nAnswer: 22510","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1950.\nAnswer: 2, 3, 5, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 748\/(-4862) + 1\/((-13)\/6)?\nAnswer: -8\/13","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 164 - 50 = 222*g - 108 for g.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let f(c) = 2*c**2. Suppose 0 = 3*a - 2*a. Let q(p) be the first derivative of -2\/3*p**3 + 1 + a*p + 0*p**2. Give q(f(w)).\nAnswer: -8*w**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let l(j) = 9*j**2 + 91*j + 1484. Let m be l(-16). Calculate the greatest common factor of 22 and m.\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -2611741, -2611734, -2611727, -2611720, -2611713, -2611706?\nAnswer: -2611699","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the sixth biggest value? (a) -2\/3 (b) -0.5 (c) 9\/5 (d) 4 (e) 91 (f) -4\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: 30033 (base 4) to base 14\nAnswer: 3dd","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 15 = 5*i - 4*q, -3 = -2*i - 4*q + 3. Suppose s = 3 - 0. Find the second derivative of -x**3 + 4*x + i*x - 5*x**s wrt x.\nAnswer: -36*x","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -2841410 by 2.\nAnswer: -1420705","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 25887916?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is 242197 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 2540151 is divided by 252.\nAnswer: 243","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 12*y**3 + 80 - 81 + 10*y**3.\nAnswer: 22*y**3 - 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*u - 11 = -9. Calculate the lowest common multiple of u and ((-2)\/3 + 1)*24.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) 0.041 (b) -18.9 (c) 53\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is 7\/6 != -39037?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let n(s) = -s + 6. Let p be n(4). Suppose -7*i - 5*a = -p*i - 15, 2 = 2*a. Find the first derivative of t**4 + 2 + 35*t**i - 35*t**2 wrt t.\nAnswer: 4*t**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 2446 is divided by 351?\nAnswer: 340","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 16573 is divided by 338.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is 750141 + 8?\nAnswer: 750149","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Expand (4*x - 4*x - 2*x)*(-76*x**2 + 36*x**3 + 147*x**2 - 72*x**2) + 4*x**4 - 4*x**4 + 4*x**4.\nAnswer: -68*x**4 + 2*x**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (d - d**2 - d)*(27 + 85 - 11) to z + y*d + r*d**2 and give r.\nAnswer: -101","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let k be 9\/15 + 34\/10. Let y(g) = -44*g - 2. Let m be y(-11). Suppose -3*o + m = -o + k*l, 5*o + 4*l = 1193. Is o a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -21 + 15. Which is the third smallest value? (a) -1\/6 (b) w (c) 2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(b) be the third derivative of -b**5\/30 - 2*b**2. Let l(i) be the first derivative of 14*i**2 - 844. Give l(q(y)).\nAnswer: -56*y**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -1? (a) -2\/3 (b) 1175506 (c) -2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is 986b + -18?\nAnswer: 9853","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Put together 26779973 and -1633242.\nAnswer: 25146731","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -17\/555 and 89\/26019954.\nAnswer: 130099770","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 177\/(127440\/4464)*(-7)\/((-21)\/45).\nAnswer: 93","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (-14)\/(-6) - (-3)\/(-9). Let g(o) = -4*o**2 + 3*o + 3*o + 7*o + w*o**2. Let f(l) = l**2 - 6*l. Calculate -13*f(d) - 6*g(d).\nAnswer: -d**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 8*p**3*w*y**2 - p**3*y**2 + 4*p**3*y + 3*p**2*w*y**2 + 4*w*y + 2*y wrt y?\nAnswer: 16*p**3*w - 2*p**3 + 6*p**2*w","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let q(u) = u - 16. Let a(p) = -2*p + 24. Let k(o) = -5*a(o) - 8*q(o). Calculate the remainder when 37 is divided by k(0).\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 9456\/(-7880)*(20\/(-2*1))\/3.\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -g**3\/10 + 968*g**2\/5 - 387*g\/2 = 0. Calculate g.\nAnswer: 0, 1, 1935","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let a(j) = -14*j**2 - 14*j. Let d(c) = 5*c**2 + 5*c. Let t(w) = 6*a(w) + 17*d(w). Let v(g) = -2*g**3 + 5*g**2 + 4*g - 1. Calculate 4*t(x) - v(x).\nAnswer: 2*x**3 - x**2 + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from naiiiaaaamaiaaiaa. Give prob of picking 1 m and 1 n.\nAnswer: 1\/136","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 9933 and 83468?\nAnswer: 77","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:24 AM and 1:58 PM?\nAnswer: 274","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -h**4 - 791*h**3 + 14004*h**2?\nAnswer: -24*h - 4746","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: -2 + 9 + -6 - ((1 - -5) + -7)\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -30 + 47. Let f = 17 - z. Solve -3*o = -5*o - 2*h, 3*o - 4*h - 35 = f for o.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 116*i - 31 wrt i.\nAnswer: 116","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 184382 and 116?\nAnswer: 368764","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (-18)\/(-30) + (-72)\/(-5). What is the greatest common factor of 135 and n?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 4212 to the power of 1\/3, to the nearest integer?\nAnswer: 16","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((3 - -1*2) + -2)\/(2730\/(-1638)).\nAnswer: -9\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(n) = 2*n**2 + 53*n + 155. What is u(-23)?\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {p: 1, i: 14, y: 1}. Give prob of sequence iiiy.\nAnswer: 1\/20","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 2.899527 - 2.9. Round g to four dps.\nAnswer: -0.0005","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(q) be the second derivative of -q**5\/120 + 25*q**4\/24 - q**3\/6 - 3*q. Let n(d) be the second derivative of i(d). Does 12 divide n(0)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1213*g - 20 - 16 = -1201*g for g.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 2236 - 2234. Solve l*y = 40 - 50 for y.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 2 + (-3 + sqrt(153) + 0 + 5 + -1 - (1 + -2*(-5 + (sqrt(153) - (0 + sqrt(153)))))**2).\nAnswer: -118 + 3*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*w - 19421 = 2*a - 227, 4*a = 3*w + 28812. Round w to the nearest one thousand.\nAnswer: -10000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(l) = -3*l - 1. Suppose -3*h = i - 18, -3*i + 43 - 14 = 4*h. Suppose 3*c = -6 + i. What is r(c)?\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the billions digit of 3465194488?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Expand -13*h**2 + 13*h**2 - 14*h**3 + (6*h**2 + 0*h**2 - 4*h**2)*(-4*h + 4*h - 4*h).\nAnswer: -22*h**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let n(p) = -14*p. Let g(f) = -7*f. Let q(m) = 11*g(m) - 6*n(m). Let b(y) = -5*y. Determine q(b(t)).\nAnswer: -35*t","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Convert -22112212 (base 3) to base 9.\nAnswer: -8485","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose d = -3*g - 13, 0 = -6*g + 3*g - 15. Let p = 2 + 3. Suppose -p*r = 2*f - 7*f - 50, -r + d*f + 14 = 0. What is the units digit of r?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -4 - -1. Let u(c) = -2*c**3 - c**2 - 4*c - 1. Is u(o) a multiple of 14?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 0.493 or -275?\nAnswer: -275","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let m(l) = 18*l. Let b(s) = -7*s + 108. Give m(b(n)).\nAnswer: -126*n + 1944","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is 971268 a multiple of 12?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let s(u) = -u**2 + u - 7. Suppose -15 = 37*n + 207. Give s(n).\nAnswer: -49","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: 33355 (base 6) to base 4\nAnswer: 1021013","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let z(n) = -34*n + 82. Give z(2).\nAnswer: 14","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -4 + 3.8. Let r = 0.8 - f. Let x = 20 + -24. What is the second biggest value in r, x, 1\/2?\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:48 PM and 10:07 PM?\nAnswer: 139","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 113541 is divided by 143.\nAnswer: 142","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is (-12)\/48*(-9 - -9)?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is 614970583 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -5431, -10844, -16235, -21592, -26903?\nAnswer: -32156","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Factor 5*n**3 + 18295*n**2 - 1975580*n + 1957280.\nAnswer: 5*(n - 104)*(n - 1)*(n + 3764)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*r - 346147011 - 81696664 = 0. Suppose 0*k = 5*k + 2*f - r, -4*k + f + 68455001 = 0. Let b = k - 10213749. What is b rounded to the nearest 1000000?\nAnswer: 7000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 236774.1 rounded to the nearest one hundred?\nAnswer: 236800","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 1\/271 in 4, 0.4, 55?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in 14, -75, -2\/5, 0.5?\nAnswer: 14","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 249 is divided by 9?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 1? (a) 5\/4 (b) 13 (c) 1 (d) 0.4 (e) -0.4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Express -11204*i**2 - 93*i**3 + 11204*i**2 + 2*i in the form d*i**2 + r*i + f*i**3 + k and give f.\nAnswer: -93","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let a be ((-620)\/40)\/((-4)\/88). Let g = 84 + -53. Calculate the highest common divisor of g and a.\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -2893490*j**3 - 3*j - 14355760 with respect to j.\nAnswer: -8680470*j**2 - 3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 6*(3 + sqrt(2736)*-1) - (-4*sqrt(2736)*-2 - (-1 + sqrt(2736))*-3).\nAnswer: -204*sqrt(19) + 21","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let l(g) = -6*g**3 - 5*g**2 + 13*g + 12. Let d(z) = 5*z**3 + 5*z**2 - 13*z - 11. Let i(h) = 5*d(h) + 4*l(h). What is the units digit of i(-5)?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 16 = -5*k - 4. Let m = -2\/5 + 26\/15. Find the common denominator of m and 6\/k*402\/(-18).\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(l) = -40*l**2. Let h(z) = -29*z**2 + z**2 + 30*z**2. Determine h(y(r)).\nAnswer: 3200*r**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let g(y) = 6*y**2 - 2*y + 1. Let u(d) = -14*d**2 + d + 1. Let r be u(-1). Suppose 4*h + 0*k - 68 = 2*k, 4*k = -3*h + 62. Let q be 4\/r - h\/(-14). Determine g(q).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-1 - -23) + (-204 - -178)?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of 1037, 1520, 2003?\n\"Answer: 483*v + 554","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-1 + -5*(sqrt(288) + (sqrt(288) + 0 + sqrt(288) - sqrt(288))) + -4*(sqrt(288) - (-1*sqrt(288) - sqrt(288))))**2.\nAnswer: 528*sqrt(2) + 139393","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 198066 is divided by 301?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Put -583, -3, -296, 202 in ascending order.\nAnswer: -583, -296, -3, 202","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth root of 3740343 to the nearest integer?\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is 12760 a multiple of 29?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose y = -3 + 7. Suppose -3*n + 4*x = -226, -3*x - 169 = -2*n - y*x. Is n a multiple of 13?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence yzu when three letters picked without replacement from {u: 3, z: 1, d: 1, c: 5, y: 2}.\nAnswer: 1\/220","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: -23216318455857 - -0.1\nAnswer: -23216318455856.9","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 47321?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 3251416 to the nearest integer?\nAnswer: 148","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let t(u) = 3*u**3 + 2*u**2 - 9*u - 2. Determine t(2).\nAnswer: 12","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2234345?\nAnswer: 5, 89, 5021","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 781250.2kg in nanograms?\nAnswer: 781250200000000000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Does -1654490 = -1654486?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Expand 2*p + p - 4*p - 4*p + 3*p - p + (-p + 0 + 0)*(1 - 2 + 0) - 3*p + 0*p - 2*p - 46 + p + 46.\nAnswer: -6*p","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 3.21 + -0.21. What is the third biggest value in 0.2, 0.3, a?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -262 - -208. Let d = -50 - s. Solve -w + 0 - d = -3*b, -3*b = -3*w + 6 for w.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 280429 - 280429.0000119229. Round l to seven dps.\nAnswer: -0.0000119","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is fifty-one halves of a gram in milligrams?\nAnswer: 25500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -72 - -154. Let p = 81.92 - d. Sort -0.2, -0.1, p in descending order.\nAnswer: p, -0.1, -0.2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-5)\/1650*22 + (6 - 9728\/(-120))?\nAnswer: 87","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(d) = 7897*d - 394956. Determine t(50).\nAnswer: -106","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 12 = 4*i, -3*l + i + 2*i = 21 for l.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 1*((sqrt(13) - ((sqrt(208))**2 + sqrt(52))) + (sqrt(13) - (sqrt(468) + -1)) + -3*sqrt(91)\/sqrt(7)*-4) + -3.\nAnswer: -210 + 6*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 685*x = 669*x + 150112. What are the prime factors of x?\nAnswer: 2, 4691","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 56 minutes after 2:43 AM?\nAnswer: 3:39 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -95.4 - -98. Let w = m + -3. Let q = -0.2 - 5.8. Which is the closest to -1? (a) w (b) -1 (c) q\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 174970, 174971, 174972, 174973, 174974, 174975?\nAnswer: 174976","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -27508068*b**2 - 10444925?\nAnswer: -55016136*b","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 253 and 46.\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose d + 1 = 12. Suppose 3*h + d = -1. Is 25 a factor of (-82)\/h*(-6 - -10)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -20*v**2 + 10*v**2 - 8*v**3 + 8*v**2 + 5 - 4*v - 8 + v as i*v + q*v**2 + p*v**3 + k and give i.\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of 2, 4, 10, 20, 34, 52, 74?\n\"Answer: 2*h**2 - 4*h + 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -34 - -33.9. Let p be (-287)\/820 + 6\/10. What is the third smallest value in -0.3, x, p, 1\/3?\nAnswer: p","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: (8\/(-742))\/(((-5)\/25*-10)\/(-7))\nAnswer: 2\/53","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: (972\/45 - 12) + -8\nAnswer: 8\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((3*((sqrt(1008) + 2 + -4)*1 + 0)*-4 + 0)*4)**2.\nAnswer: -110592*sqrt(7) + 2331648","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is 91 a factor of (-22255)\/(-5) + 6 + -4 + -7?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -6667 divided by 59?\nAnswer: -113","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 35 and 28?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let t(z) = z**3 + 412*z**2 + 299*z + 123191. Calculate t(-412).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 688 minutes before 12:16 AM?\nAnswer: 12:48 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 212055414 and 2.\nAnswer: 212055414","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -0.5 + -1.5. Suppose 1 = -4*c + 29. Let m = -43\/6 + c. Put -0.2, r, m in decreasing order.\nAnswer: m, -0.2, r","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 4828 (base 12) in base 5?\nAnswer: 224341","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 1147396 and 5056.\nAnswer: 316","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 9642 is divided by 231.\nAnswer: 171","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -793960*b**2 + 793960*b**2 + 66 + 3*b**3.\nAnswer: 3*b**3 + 66","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let p be ((-924)\/(-165))\/((-4)\/(-10)). Is 374\/10 + p\/(-35) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n be -193 - (8 - 4 - 4)\/2. Let h = 201 + n. Solve h*f - 13*f = 20 for f.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(t) = -2*t**2 + 5*t**2 + 8*t - 4*t**2 + 6. Let n be q(7). Suppose -m + n = l, -l = 3*m - 59 + 14. What is the units digit of m?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {z: 5, u: 2}. Give prob of picking 1 z and 2 u.\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -82 - 132*f**2 + 258*f**2 + 82.\nAnswer: 126*f**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*v + 0*v = 4*n - 28, -3*v + 20 = 4*n. Suppose 223 = n*i - 145. Suppose 2*m = 5*x - i, x - 3*x - 4*m = -88. Is 19 a factor of x?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -25 = 4*l - 73. Let f = l - 11. Suppose 5*a - 98 = -4*x, -2*a + f = x - 25. Is x a multiple of 8?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 71 a factor of 135905159?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -252*m**5 + 20*m - 5 wrt m?\nAnswer: -5040*m**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Divide 13879100 by -693955.\nAnswer: -20","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 2477968 and 4.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 g, 1 d, and 1 l when three letters picked without replacement from {d: 1, u: 1, k: 1, g: 2, b: 1, l: 1}.\nAnswer: 2\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let h(g) be the second derivative of -1786*g**6\/5 + 2523*g**2\/2 + 63*g - 10. What is the first derivative of h(k) wrt k?\nAnswer: -42864*k**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 9 divide 9?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -9986, -9993, -9998, -10001?\nAnswer: -10002","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*m - 87 = -5*r, 3*m - 3*r = 76 - 13. Let d = 44 + -40. Solve d*t - t - m = -4*h, 0 = -h + 3 for t.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence xi when two letters picked without replacement from mexmixmiexx.\nAnswer: 4\/55","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (2\/(-7))\/((-8425)\/(-2359)).\nAnswer: -2\/25","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 362 - 202. Suppose 0 = 7*g - 2*g + z. Let u be (-32 + 0)\/(g\/48). What is the greatest common factor of u and 6?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(j) = -7*j + 0*j - 19*j. Let f = 99 + -101. What are the prime factors of l(f)?\nAnswer: 2, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from rttttfttttttfttrttft. What is prob of picking 2 t, 1 r, and 1 f?\nAnswer: 42\/323","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -0.6 - 0.4. Suppose -13 = o - 11, -2*o - 19 = 3*i. What is the nearest to -0.3 in y, -4, i?\nAnswer: y","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:51 AM and 4:05 AM?\nAnswer: 14","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -49 - -541\/11. Let v = 0.0715 - -470.9285. Let j = -485 + v. What is the closest to j in h, -1, 1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -711.9647 + 712. Let k = -0.047 + n. What is k rounded to 3 dps?\nAnswer: -0.012","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(x) = x**2 - 26*x + 43. Calculate the remainder when 383 is divided by r(26).\nAnswer: 39","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -0.03 - 1.97. Let i = -7959 + 7954. What is the nearest to 0.3 in g, -1, i?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose n - 3*d = -18, 25*n - 2*d = 27*n - 4. Let v(l) = -l + 2. What is v(n)?\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:42 AM and 4:51 AM?\nAnswer: 69","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Put -1, -11, 19, 0.02, -0.3, -14 in descending order.\nAnswer: 19, 0.02, -0.3, -1, -11, -14","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (4\/3 + -2)*(-9)\/6?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 265*g - 3312 = 133 for g.\nAnswer: 13","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(567) + sqrt(567) + 0)**2*6.\nAnswer: 13608","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the seventh root of 24188 to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Factor 1799114805*y**2 - 379380*y + 20.\nAnswer: 5*(18969*y - 2)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is (-40446)\/(-3852)*(-2)\/(-357)*3\/(9\/24)?\nAnswer: 8\/17","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 6*((sqrt(800) - sqrt(50))\/sqrt(10) + sqrt(5)).\nAnswer: 24*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let s(i) be the second derivative of 1 - 1\/6*i**3 + 0*i**2 + 6*i. Let q(x) = 2*x - 1. Give -q(u) - 4*s(u).\nAnswer: 2*u + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is -19 divided by 8?\nAnswer: -19\/8","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.0007121 rounded to five dps?\nAnswer: -0.00071","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in -0.2, 0, 133644, 4, -6, 0.4?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let t be 1 + -3 + 5 + -1. Solve 0 = b + t*d + 5, -5*d + 0 = -4*b - 20 for b.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 0.06432 + -0.16432. Let p = -11 + 7. Sort 9, z, p in increasing order.\nAnswer: p, z, 9","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: 37\/(592\/24) - (-267)\/(-186)\nAnswer: 2\/31","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(b) = b**3 - 7*b**2 + 7*b - 6. Let p be n(6). Solve 3*f + 15 = p, 5*f = -4*o + o - 40 for o.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of -63, -123, -181, -237, -291?\n\"Answer: l**2 - 63*l - 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let w(s) = -8*s**2 - 3. Let k(t) = 26*t**2 + 10. Let j(u) = -3*k(u) - 10*w(u). Let g(z) = 2*z - 3. Determine g(j(m)).\nAnswer: 4*m**2 - 3","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth root of 33796759 to the nearest integer?\nAnswer: 32","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (116*l**2 - 1001 + 1000 + 716*l**2)*(2*l**2 - 3*l**2 + 3*l**2) to v*l**3 + o*l + h*l**4 + t*l**2 + j and give o.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:44 AM and 3:43 PM?\nAnswer: 419","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let v(l) = -5*l. Let p = -97 + 67. Let f be p\/(-4)*2\/3. Let s(z) = f*z - z - 5*z. Determine s(v(r)).\nAnswer: 5*r","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 35*b = -59*b + 305 - 23. Solve -14*r + 15*r = -5*g + 29, -b*r + 32 = 4*g for g.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(n) = -14*n - 1663. Let h be l(-118). Let w(p) = 2*p**2 + 23*p - 12. What is w(h)?\nAnswer: -23","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: -0.00307+-2.813139941\nAnswer: -2.816209941","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -2*t + 52*s + 1240, 52 = -t + 153*s - 304*s + 149*s for t.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -c**3\/6 + c**2\/6 + 85*c\/6 + 275\/6 = 0. What is c?\nAnswer: -5, 11","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is 20031013297 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -5? (a) -3 (b) -2536 (c) -2\/17 (d) 0.1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {h: 1, a: 1, s: 1, b: 1, l: 1}. Give prob of sequence ab.\nAnswer: 1\/20","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (r*r**(1\/8))**26*r**(8\/7)\/r**10 assuming r is positive.\nAnswer: r**(571\/28)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*c - p + 214 = 0, 2*c = -p - 163 + 17. Let k = c - -101. Suppose 4*r = 160*i - 158*i - 4, 3*i - 9 = 5*r. What is the remainder when k is divided by i?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 659, 1316, 1973?\nAnswer: 2630","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 250713958?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Sort -3, -20830, -24 in ascending order.\nAnswer: -20830, -24, -3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in 0.4, -4\/37, 61?\nAnswer: 61","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve -27*k + 18*k = 27 for k.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -2629, -2705, -2781?\nAnswer: -2857","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: -26536 (base 7) to base 13\nAnswer: -3328","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 7 - -56. Is g\/4 + 3\/(-4) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*b = 5*u - 22603, -3*b + 4531 = -13*u + 14*u. What are the prime factors of u?\nAnswer: 4519","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(56)*-2)\/sqrt(4))\/(-5*sqrt(128) - sqrt(2)).\nAnswer: 2*sqrt(7)\/41","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let f(x) = x - 1. Let u be f(7). Let w be ((-22)\/(-3))\/(2\/u). Let q = 43\/2 - w. What is the second biggest value in -5, q, 2\/7?\nAnswer: q","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose k - 117 = w, 5*w - 255 = 2*k - 4*k. What is the highest common divisor of 8 and k?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 29700.648 milliseconds to hours.\nAnswer: 0.00825018","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*w - 1632 = -w. Let l = w - 5979\/11. Let n = -73\/153 - -10\/17. What is the common denominator of l and n?\nAnswer: 99","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 25 - 30. Let f(p) = 16*p - 2. Let g be f(-4). Let c be g\/14 - 4\/14. Is i > c?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine h, given that 0 - 4\/7*h**2 + 4\/7*h = 0.\nAnswer: 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*r + 0 - 3\/2*r**2 - 3\/4*r**3 + 1\/4*r**4.\nAnswer: r*(r - 4)*(r - 1)*(r + 2)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor g**3\/5 + 2694*g**2\/5 - 31755*g + 2314432\/5.\nAnswer: (g - 29)**2*(g + 2752)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-67)\/67*306\/(-12)*2\/(-3).\nAnswer: -17","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 905*z - 437*z - 446*z.\nAnswer: 22*z","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 62 and 341.\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let s(l) = 3 + 941*l - 467*l + 2*l**3 - 475*l. Let h(o) = 4*o**3 - 3*o + 6. Determine -3*h(t) + 7*s(t).\nAnswer: 2*t**3 + 2*t + 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.0000474 rounded to 6 dps?\nAnswer: 0.000047","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 2485?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is -2732 not equal to -2744?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let h(v) = v - 5. Let z be h(8). Suppose -7 = c + c - i, z*i + 9 = c. Let g be (-28)\/(-9)*c\/(-7). Do g and 4 have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(t) = 2*t - 2. Let y(l) be the first derivative of -35 - 34 - l**3 + 47 - 29. What is x(y(o))?\nAnswer: -6*o**2 - 2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*x = -12 + 82. Does 8 divide 16\/5*x\/14?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -2*m**4 - 3*m**5 + 2*m**4 + (0*m + 0*m - 1 - m**2)*(2*m**3 + 0*m**3 - m**3).\nAnswer: -4*m**5 - m**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) -244 (b) -0.04 (c) -4 (d) 0 (e) 3\/4\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 283647 is divided by 512?\nAnswer: 511","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 24866?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let b(z) = -z**3 - 232*z**2 - 522*z - 121334. Calculate b(-232).\nAnswer: -230","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is (((-1)\/(-3))\/((-21)\/108))\/(76\/(-798))?\nAnswer: 18","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Determine h, given that -h - 3 + 1\/4*h**2 = 0.\nAnswer: -2, 6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of -264, -222, -152, -54, 72, 226?\n\"Answer: 14*h**2 - 278","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {e: 9}. Give prob of sequence eeee.\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 97087859.\nAnswer: 11, 463, 1733","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify q\/(q\/(q**(-1\/6)\/q))*q**(-2\/37)*q*q*q**(-18)\/q*q\/q**4 assuming q is positive.\nAnswer: q**(-4711\/222)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is 25807758637 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) 2 (b) 0.6 (c) -1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 2 - 0. Let p(a) = -a**3 + 8*a**2 - 4*a + 100. Let g be p(9). Sort g, 0, d in ascending order.\nAnswer: g, 0, d","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (7 - 10) + 4\/(-2). Let c(h) = -h - 1. Suppose -14 - 16 = -5*d. Suppose 2 = a - g - 0, 3*a + g = -d. Let f(j) = 7*j + 6. What is a*f(b) + s*c(b)?\nAnswer: -2*b - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -18 - -29. Let s = 61 + -123. Let w = -65 - s. Sort j, 1, w in descending order.\nAnswer: j, 1, w","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*v - 5*d + 1, 13 = 5*v - 5*d + 2*d. Solve 5 = -5*c + 2*c + 2*h, 0 = 2*c + v*h + 10 for c.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 83\/8246 and -57\/98.\nAnswer: 57722","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Does 7 divide 66\/30*-5 - -666?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((i**(-6)\/(i\/((i**(-5\/2)\/i)\/i)))\/(i**(-3\/4)\/i**(-1\/12)))**(-31) assuming i is positive.\nAnswer: i**(2015\/6)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is 27337931 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-698)\/(-349)*(-235)\/(-10) - (-1 - (-3 + -1))?\nAnswer: 44","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-2)\/(((-485)\/(-18))\/97)*(-2)\/32*-4.\nAnswer: -9\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (1 - 4\/(-2)) + 0. Suppose 5*p**4 - p**4 - 2*p**y - p**4 - p**3 = 0. Calculate p.\nAnswer: 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1798989 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*y + 6 = -i, 0 = -4*i - 67 + 31 for y.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let n(g) = 117*g**3 - 402*g - 38*g**2 + 402*g - 3. Let p(c) = -1520*c**3 + 494*c**2 + 38. Let d(x) = 38*n(x) + 3*p(x). Find the third derivative of d(o) wrt o.\nAnswer: -684","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -113176547*b**4 - 34591987*b.\nAnswer: -1358118564*b**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is 38225720 a multiple of 292?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:29 PM and 10:03 AM?\nAnswer: 634","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 14740\/(-410) + 36\/738*-1.\nAnswer: -36","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(h) = -3*h**2 + h + 5. Let r(n) = -6*n**2 + 2*n + 10. Suppose -4*c = -281*f + 286*f - 41, -95 = -5*f + 5*c. Calculate f*w(j) - 6*r(j).\nAnswer: -3*j**2 + j + 5","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from ozzooxnzozo. What is prob of sequence onnz?\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve -9 = -3*m + n, 11*n - 7*n + 22 = 5*m for m.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 34 times 0.1?\nAnswer: 3.4","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 81 is divided by 36.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-14)\/54*75\/(-175)?\nAnswer: 1\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -a - 12 = -4*a. Solve 3*p + 3 = 3*q - 2*q, 2 = -2*p - a*q for p.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -474*p**3\/11 + 940*p**2\/11 + 16*p\/11.\nAnswer: -2*p*(p - 2)*(237*p + 4)\/11","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 2 - (-1)\/7 - 17\/((-1785)\/45)?\nAnswer: 18\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(v) = v - 3. Let n(x) = -x + 3. Let m(a) = 5*n(a) + 4*r(a). Let k(i) be the second derivative of i**3\/3 - 5*i**2\/2 + 5*i. What is -3*k(h) - 5*m(h)?\nAnswer: -h","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -1 - -2. Is ((-4)\/6)\/(n\/(-48)) a multiple of 10?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (2 - 4 + 3 + (0 + 3 - 5)*(-3 + 3 + 2))*(-8 - 3756*d**2 + 8 + 2666*d**2) in the form o*d + h*d**2 + z and give h.\nAnswer: 3270","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let m be 0*((-6)\/3)\/(-4). Suppose m*z = -4*z. Solve -6 = -3*v - z*v for v.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(a) = -a**3 - 5*a**2 + 5*a + 3. Give d(-4).\nAnswer: -33","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Convert 10 (base 3) to base 6.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: (-252)\/42*(49\/98)\/(3\/(-51))\nAnswer: 51","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 540500?\nAnswer: 2, 5, 23, 47","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*c - 155 = -2*i, -5*i + 3*c = -c - 330. Suppose i = x - 0*x. Suppose -4*r - x = -6*r. Is r a multiple of 23?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -374 + 374. Solve 5*x + 10 + 0 = j for x.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 21942 to the power of 1\/3, to the nearest integer?\nAnswer: 28","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 4\/(-10)*(5 + 440\/216*-3).\nAnswer: 4\/9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 1 in 2, 5, 0.045, 0.5?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Does 407 divide 476686?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth smallest value? (a) -5 (b) -1\/2 (c) -1\/6 (d) 516 (e) -8 (f) -1\/8 (g) 64\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let k(a) be the third derivative of -719*a**5\/6 + a**4\/6 + 395*a**3\/6 + a**2 + 28*a - 35. Find the second derivative of k(c) wrt c.\nAnswer: -14380","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many micrograms are there in 45\/2 of a milligram?\nAnswer: 22500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-1 + 0 - 2)*(-4 + 1 + 1)*(4 + 0 - 2)*(0*n**3 + 0*n**3 + 2*n**3).\nAnswer: 24*n**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is 1504 + 53?\nAnswer: 2001","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 4 - 1. Suppose -2*q - h = -9. What is the first derivative of -3 - 2*v - 2*v - v**q + 4*v wrt v?\nAnswer: -3*v**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 7623 and 24563?\nAnswer: 221067","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: -0.0243 times 3\nAnswer: -0.0729","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -1806? (a) -1\/9 (b) -1 (c) -7\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 309 - 299. Solve 27*b - 22*b = u for b.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 166523 and 875?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (6*sqrt(88)\/(sqrt(8)*-1) - (sqrt(11)*-2*-4 + 3))**2.\nAnswer: 84*sqrt(11) + 2165","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 873, 750, 627, 504?\nAnswer: 381","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*b = 2*g - 10, 2*b - 13*g = -8*g - 13 for b.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Convert -6f (base 16) to base 10.\nAnswer: -111","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3 + 5 = -3*u - 4*t + 1, -3*u = t + 13 for u.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let w(t) = -t - 63. Let m(d) = -d - 62. What is -3*m(h) + 4*w(h)?\nAnswer: -h - 66","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is -98140 greater than -98138?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -1 = -k - 0. Let o = k - 0. Solve 4 = -3*n + o for n.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(x) = x + 37. Determine k(5).\nAnswer: 42","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let a(i) be the third derivative of i**7\/1008 + i**6\/360 + i**5\/30 + 4*i**2. Let x(d) be the third derivative of a(d). Differentiate x(y) with respect to y.\nAnswer: 5","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-1 - 3*v - 5*v + 6*v)*(-v**2 - v**2 + 0*v**2)*(-52 - 46 + 117).\nAnswer: 76*v**3 + 38*v**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Put 46\/9, 2\/15, 36, 2, -2, 2\/9, 45 in ascending order.\nAnswer: -2, 2\/15, 2\/9, 2, 46\/9, 36, 45","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 222606 - -3.\nAnswer: 222609","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let a be 60*(2 + -5)\/(-3). Suppose 3*g = -2*g + a. Solve -3*d = -0*d - g for d.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 25*b**3 - 34*b**3 - 8*b**3.\nAnswer: -17*b**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 3729*x - 7040*x - 16990*x + 8346*x - 19899*x.\nAnswer: -31854*x","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 1724167?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (-6)\/(-4 - 18\/(-4)). Let q = c + 14. Suppose -210 = -2*s + 5*f, 5*s = q*f + f + 487. What is the greatest common factor of 19 and s?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -173, -183, -197, -215, -237, -263?\nAnswer: -293","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 6044?\nAnswer: 2, 1511","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let b(r) = 13*r**2 + 6*r + 12. Let g(a) = -28*a**2 - 14*a - 25. Calculate 13*b(s) + 6*g(s).\nAnswer: s**2 - 6*s + 6","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 8351 is divided by 90.\nAnswer: 71","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 121013071 is divided by 2111.\nAnswer: 2107","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) 1\/17 (b) -5 (c) 0.4 (d) -15\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let f(y) = 3*y**2. Suppose -5*l = -100 - 0. Suppose -x + 0 = -4*m + l, 3*x + m - 5 = 0. Let q(v) = x*v**2 - v**2 - v**2. Calculate f(q(z)).\nAnswer: 12*z**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is 17490011323 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:56 AM and 2:28 PM?\nAnswer: 152","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 5968 - 5966. Solve 4*c = j*c - 2*q - 12, -4*q - 6 = -5*c for c.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*n + 0*n = 0. Suppose 4*v = -n*v - 20, -3*v - 16064 = p. Let q = 8349 + p. What is q rounded to the nearest 1000?\nAnswer: -8000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: 10 + (-30 + 38 - -19) + -25\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (14\/4)\/((-3486)\/4980)?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let u be 3 + 16 - 0\/1 - 2. Let m(g) = 2*g + 6. Let w be m(-6). Let c(k) = 3*k**2 + 5*k + 7. Let p be c(w). What is the greatest common divisor of p and u?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 29 and 58.\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let s(g) = -8088*g - 56785. What is s(-7)?\nAnswer: -169","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let q(u) = -4*u + 103. Give q(28).\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:34 PM and 11:19 PM?\nAnswer: 405","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let q(w) be the first derivative of 1\/9*w**3 - 4\/3*w - 25 + 1\/2*w**2. Solve q(i) = 0 for i.\nAnswer: -4, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 2412954 and 18?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (0 - -2) + 1 + (65 - 64)?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 16*c*d**2*h + 6*c*d*h**2 - 4*c + 2*d**2 - d - 2*h**2 wrt h?\nAnswer: 16*c*d**2 + 12*c*d*h - 4*h","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let a(z) = z**2 + z - 42. Let p be (0 - 3)\/(-3) + (-12)\/1. What are the prime factors of a(p)?\nAnswer: 2, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of -23198, -92803, -208812, -371225, -580042?\n\"Answer: -23202*z**2 + z + 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 5400838*g**4 + 3352528*g**2 wrt g.\nAnswer: 129620112*g","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (-22)\/(-2) - (1 + 1). Which is the smallest value? (a) y (b) 0.5 (c) -2\/7\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is 131 - 9658?\nAnswer: -9527","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_test"},"subset":"dm_maths"} +{"text":"Question: Round 112187.1 to the nearest one thousand.\nAnswer: 112000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let v(h) = -3*h + 81. What are the prime factors of v(-21)?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 5*n - j + 18, -4*j = 4*n + 8 + 16 for n.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let q(h) = 2*h - 65. Determine q(21).\nAnswer: -23","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0*s + 4\/5*s**3 + 0 - 4*s**2 = 0.\nAnswer: 0, 5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -8*f**4*l**2 + 4*f**4 - 4*f**2*l + 45*f*l**2 wrt f?\nAnswer: -192*f*l**2 + 96*f","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let r(c) = -19*c + 2. Let z be r(-2). Solve 11 = -5*j - 4*u + z, -2 = -j + 3*u for j.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (-4)\/(-18) - (-1)\/(-18)*4. Suppose 3*l - h + 25 = 5*l, -4*h + 20 = v. Let o(r) = -r**2 + 10*r - 2. What is o(l)?\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 4*z**2 - 1 + 262*z**3 + 4 - 3 - 258*z**3.\nAnswer: 4*z**3 + 4*z**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 546 minutes after 3:53 PM?\nAnswer: 12:59 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5400 = -303*x + 6264 - 2877 for x.\nAnswer: 29","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let y(h) = -8*h**4 + 6*h**3 + 44*h**2 - 6. Let k = -102 - -108. Let x(m) = -m**3 - m**2 + 1. Let q(g) = k*x(g) + y(g). Find the third derivative of q(s) wrt s.\nAnswer: -192*s","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: -1501622897+-22631\nAnswer: -1501645528","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*o = -60 + 50. Is 9\/5 > o?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 11978.0007527 + -11978. What is h rounded to four decimal places?\nAnswer: 0.0008","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 10940?\nAnswer: 2, 5, 547","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in 7.2, 53778, -5?\nAnswer: 7.2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Factor 61 + 39 + 60*l**3 + 4 + 13*l**4 + 9*l**4 - 20*l**4 + 218*l**2 + 264*l.\nAnswer: 2*(l + 1)**2*(l + 2)*(l + 26)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 3803.96 + -3870. Let n = -1272 - -1207. Let h = l - n. What is h rounded to the nearest integer?\nAnswer: -1","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 5088529 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of -250, -967, -2162, -3835, -5986, -8615?\n\"Answer: -239*k**2 - 11","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 5467 - -18424. Is j a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (-1)\/(-4) + (-6)\/((-72)\/(-543)). What are the prime factors of 15\/i + 931\/3?\nAnswer: 2, 5, 31","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(f) = 139 - 155 + 20*f - f. What are the prime factors of t(3)?\nAnswer: 41","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 11*k + 20 = 12*k. What is the units digit of k?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out 0.081 * 0.29.\nAnswer: 0.02349","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is 4051194109 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 22110?\nAnswer: 2, 3, 5, 11, 67","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 346, 342, 338, 334?\nAnswer: 330","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let k(x) be the third derivative of 37*x**7\/105 - 107*x**5\/60 - 149*x**2. What is the third derivative of k(v) wrt v?\nAnswer: 1776*v","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -15*t + 18*t - 243. List the prime factors of t.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 96.52108 centuries to months.\nAnswer: 115825.296","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let h(k) be the third derivative of -2*k**7\/105 - k**6\/10 + 2*k**5\/5 + 4*k**4\/3 - 2*k**2 - 707*k. Factor h(i).\nAnswer: -4*i*(i - 2)*(i + 1)*(i + 4)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 61\/34 and 67\/10.\nAnswer: 170","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*i - 2 + 8 = 0 for i.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Put -257, 2\/7, -3\/11, 0 in increasing order.\nAnswer: -257, -3\/11, 0, 2\/7","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 277774?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -12*r**4 - 265*r**2 - 12944*r.\nAnswer: -144*r**2 - 530","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let p(d) be the second derivative of 2*d**3 - 57*d**2\/2 + 10*d + 35. Calculate p(6).\nAnswer: 15","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 104 and 72?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 4\/(-6)*((-624)\/(-1820))\/((-6)\/(-21))?\nAnswer: -4\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let k(r) = -r - 5. Suppose -6 + 7 = g. Let m = g + 3. Suppose -5*s = a + m*a - 5, -2*s + 8 = 0. Calculate k(a).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(m) be the second derivative of -277*m**4\/6 + 132*m - 2. Let q(h) = h**2. Give q(c(d)).\nAnswer: 306916*d**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let g(x) = 7*x**2 + 5959*x + 41708. Give g(-7).\nAnswer: 338","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let i(a) = a**2 - 14*a + 24. Let w be i(12). Suppose w = -10*r + 5*r + 740. What is the hundreds digit of r?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 0 + 3. Let i = 381 + -378. Factor a**p - 14*a**2 + 2*a**i + 8*a**2.\nAnswer: 3*a**2*(a - 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -23\/222 + 10\/37. What is the third smallest value in -0.5, q, 0.21, 0.1?\nAnswer: q","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 19\/4 of a meter in centimeters?\nAnswer: 475","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 419.\nAnswer: 419","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8*f = -199 + 207. Suppose 159 - 23 = 4*k. Is 1887\/k + f\/(-2) a multiple of 14?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 0 + (sqrt(208) + sqrt(208)*1 + sqrt(208) + sqrt(208))**2 - (0 + sqrt(208) + 1)**2.\nAnswer: -8*sqrt(13) + 3119","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 12453 and 315.\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let k be 6\/4*(-11)\/(-3). Let l = 2\/77 - -73\/154. Determine s, given that l*s + 25\/2*s**4 + 35\/2*s**3 + 0 + k*s**2 = 0.\nAnswer: -1, -1\/5, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -6 + 10. Suppose 0*i + a*i = -y + 95, y = 2*i - 43. Let v = i - 21. Solve s - v*s = -5 for s.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 3.151016ml to litres.\nAnswer: 0.003151016","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence rrrs when four letters picked without replacement from {s: 3, k: 1, e: 2, j: 1, r: 5}?\nAnswer: 1\/66","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 84184 or 84115?\nAnswer: 84184","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 94169 is divided by 73.\nAnswer: 72","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -63*g + 56*g + 1757. Does 60 divide g?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is 57 + 5270713?\nAnswer: 527076a","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 6579 and 9.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 3\/(-15)*690\/(-69)*(-102)\/(-4)?\nAnswer: 51","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let u(b) = -b**2 + 11*b - 14. Let y be u(9). Let q be (-6)\/y*(-48)\/4. Suppose -q*r = -23*r + 165. What is the remainder when r is divided by 18?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 21732 is divided by 3621.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -11*i = -3*i - 112. Solve -3*v - o = -0*v - i, 5 = o for v.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 0, 54, 69, -1 in descending order.\nAnswer: 69, 54, 0, -1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: 0.7959 * 0.063589\nAnswer: 0.0506104851","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of 396, 413, 444, 495, 572, 681, 828, 1019?\n\"Answer: t**3 + t**2 + 7*t + 387","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let o(t) = -1090*t. Let k(s) = -31*s. Let a(d) = 63*d. Let w(p) = a(p) + 2*k(p). Calculate o(w(c)).\nAnswer: -1090*c","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 2503, 5348, 8361, 11542, 14891?\nAnswer: 18408","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in 0.3, -3\/4, -1\/3, -1359, 2, 3?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let u(o) be the third derivative of o**7\/42 - 7*o**3\/6 + 2*o**2. What is the first derivative of u(a) wrt a?\nAnswer: 20*a**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*r + 2*g + 20 = 0, 5*r + 3 - 13 = -5*g. Let k(y) = -y**2 + 6*y - 4. Let s be k(r). Suppose -4*n = -3*h + 297, 2*n = 4*h + s*n - 374. Is h prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 8\/14*273\/1014.\nAnswer: 2\/13","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -4095221*0.19.\nAnswer: -778091.99","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 143043?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is -3609.80808 rounded to the nearest 1000?\nAnswer: -4000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is -a234 + 4?\nAnswer: -a230","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*z = -0*z - 155. Let k = 34 + z. Suppose 0 = -4*p - k*h + 105, 4*p + 5*h - 111 = -0*p. Does 4 divide p?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*h = -0*h - 3*z + 4, -2*z = 5*h - 18. Suppose 0 = 5*c - 2*u - 4, u - h = -2*c + 5. Suppose 4*b = b. Solve b = 2*t + 10 - c for t.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h be 2\/(-5) + (-22)\/(-5). Let o = 98 + -72. Suppose b + 12*b = -o. Sort b, 2\/9, h in descending order.\nAnswer: h, 2\/9, b","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -62698 - -815072\/13. Let y be (-3)\/(-6)*1*8. Which is the fourth biggest value? (a) 1\/3 (b) y (c) n (d) 1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-7)\/1225*14 + 1602\/3150.\nAnswer: 3\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 0.4 + 0.1. Let c(d) = d**3 + d**2 + 6*d + 2. Let m(p) = -p**2 + p - 1. Let w(k) = -c(k) + 5*m(k). Let y be w(-6). What is the nearest to 2\/5 in 5, y, n?\nAnswer: n","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -23 - (4 + 2 + 6 + -36).\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let i(u) be the first derivative of -3*u**2 - 2*u + 16. Calculate i(-2).\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 46896 is divided by 15629.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*n = -5*j + 16, 5*n = 3*j - 0*j - 17. Is j\/6 - ((-1048)\/6)\/2 a multiple of 11?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -31064, 6\/11, -3, 2\/37 in increasing order.\nAnswer: -31064, -3, 2\/37, 6\/11","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let x(k) = -398*k - 1219. Calculate x(-2).\nAnswer: -423","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -1285, -2232, -3173, -4108, -5037?\nAnswer: -5960","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let x(q) be the first derivative of -q + 1. Let m = 21 + -19. Let u(c) = 0 - m*c - 1 - 2. Determine u(i) - x(i).\nAnswer: -2*i - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence mhl when three letters picked without replacement from {h: 1, n: 3, l: 1, m: 4, j: 4, a: 2}?\nAnswer: 2\/1365","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let n(s) = -2*s**2 - 4*s. Let c = -9 + 26. Let j(g) = -4769*g - 22*g**2 + 17*g**2 + 4758*g. Calculate c*n(u) - 6*j(u).\nAnswer: -4*u**2 - 2*u","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*n + 26 = 5*i, 4*n - 264 = -21*i - 64*i + 21*i for i.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*s - 4 = -28. Let i(x) = -305*x**2 - s*x - 4*x + 306*x**2. Is i(-13) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (180\/270)\/(3\/(9\/(-203))). Is -1 at least as big as z?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*k = i - 4 + 9, i + 2*k = 7 for i.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 8 - 7. What is the highest common divisor of 4 and j?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(v) = 2*v - 5. Let a be c(0). Let i = a - -25. What is the remainder when i is divided by 2*1\/(2\/11)?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 76 and 4066.\nAnswer: 38","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Round -1.921508 to three dps.\nAnswer: -1.922","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: (-3)\/((-11)\/((-22)\/(-6)))\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let s be 7\/21 - 58\/(-6). Let n(o) = 116*o - 350. Let t be n(5). Calculate the highest common divisor of t and s.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -4092297827 - -19.09.\nAnswer: -4092297807.91","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let i be 22\/(-6) + (-1)\/3. Suppose -4*h - 99 = -3*a + 40, -36 = -2*a - 3*h. Put a, i, 0 in increasing order.\nAnswer: i, 0, a","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -55310.40495 less than -0.4?\nAnswer: 55310.00495","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve -388203*t + 388640*t = -41515 for t.\nAnswer: -95","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Round 63463263.5 to the nearest 1000.\nAnswer: 63463000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Work out -0.12 * 709427.\nAnswer: -85131.24","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (-6)\/((42\/4)\/(-7)). Suppose -u = -g - 7, u - 35 = -l*u - 4*g. Suppose 5*n - 32 = 4*o, -2*n - 35 = -u*n + 5*o. Solve 0*z - n*z + 20 = 0 for z.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.0022981879 rounded to 5 dps?\nAnswer: -0.0023","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let w be -2*9*(-1)\/2. Suppose 12 = -3*v, w*v = 5*c + 5*v - 56. Find the common denominator of (-10)\/c*76\/(-110) and 95\/6.\nAnswer: 66","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many hours are there in 29\/3 of a day?\nAnswer: 232","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 88\/51 or 2?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let c(z) = 2*z**2 + 3*z - 2. Let p(d) = d - 1. What is -c(h) + 3*p(h)?\nAnswer: -2*h**2 - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -1\/7? (a) 7 (b) 0.4 (c) 4.2 (d) -4 (e) 0.3 (f) 0.113\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -9 + 19. Let k(i) = -18*i - 718. Calculate the remainder when k(-42) is divided by b.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 5\/8 of a micrometer in nanometers?\nAnswer: 625","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let y(p) = -p**2 - 79*p - 1283. What is y(-23)?\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is 336169 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 102 + -103. Is -1\/19 less than i?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 33 - (-32 + 21 - -21).\nAnswer: 23","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8*v = -316 + 1172. Sort 0, v, 2, -4 in ascending order.\nAnswer: -4, 0, 2, v","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-312)\/(-117))\/(10\/(-3))*(-6)\/(5544\/(-30))?\nAnswer: -2\/77","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7*l = 401608 - 401517. Let b(c) = 2*c - 6 + 24 - 4*c. What is b(l)?\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 42544 + -42501. What is the remainder when 2448 is divided by x?\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when -4*4\/(-8)*57\/3 is divided by 20?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 16 divide 32?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is 136470743 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between 3357541 and 1?\nAnswer: 3357540","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {m: 2, u: 2, o: 4, n: 4, a: 2, l: 6}. What is prob of sequence llo?\nAnswer: 1\/57","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Convert 7.493347 litres to millilitres.\nAnswer: 7493.347","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-33)\/12*303\/9999.\nAnswer: -1\/12","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of 8486, 8417, 8336, 8237, 8114, 7961, 7772?\n\"Answer: -v**3 - 62*v + 8549","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 28484700*a**3*y**3 + 3*a**3*y - 46*a**3 + a**2*y**3 + 5510*a**2*y - 41*y + 1 wrt y?\nAnswer: 170908200*a**3*y + 6*a**2*y","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let y(t) be the third derivative of 41*t**4\/6 + 177*t**2 + 1. Let s(d) = -8*d. Calculate y(s(m)).\nAnswer: -1312*m","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Find t, given that t**4\/2 - 873*t**3\/2 + 34187*t**2\/2 - 62283*t\/2 - 48672 = 0.\nAnswer: -1, 3, 39, 832","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:26 PM and 9:36 PM?\nAnswer: 10","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 171.18 - 171.5. Which is the closest to h? (a) 4 (b) 0.4 (c) 2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is 49 + -407d4d?\nAnswer: -407d04","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let l(d) = -3*d - 24. Let k(m) = -2 + 22 - 4*m - 66 + 22. Determine 5*k(c) - 6*l(c).\nAnswer: -2*c + 24","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let s(v) = 80*v**2 + 3. Let d(y) = -159*y**2 - 5. Determine 3*d(p) + 5*s(p).\nAnswer: -77*p**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: 186 + -41 + -143 - -3*(0 - 31)\nAnswer: -91","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is 24160619 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (1 - 1 + 2*p**2)*(97*p - 218*p + 93*p)*(-4*p + 3*p - 2*p) to b*p**4 + a*p**2 + o + d*p + x*p**3 and give b.\nAnswer: 168","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is 203243348653 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let n(h) = -20*h**2. Let f be (-184)\/(-16) + 6\/(-4). Let l(u) = 2*u - f + 10. Calculate l(n(j)).\nAnswer: -40*j**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is 21270 - -3?\nAnswer: 21273","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 15 and 515.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from oooxxoxsssosxrsxs. Give prob of picking 3 o.\nAnswer: 1\/68","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 4775 + -1354.0032.\nAnswer: 3420.9968","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (-2)\/(-3) + 35\/15. Suppose -p*o - 59 = -8*o + v, -v = 2*o - 25. Is (30\/o)\/(1\/26) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 659*r + 311*r + 6790 for r.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let l(p) = -5*p + 2. Let z(d) = 9*d - 3. Let t(f) = -11*l(f) - 6*z(f). Let y be t(4). Suppose -3*q - 10 + 136 = y. Does 17 divide q?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (-6)\/(0 + 9\/6). Let g(j) = -j**3 - 4*j**2 - j + 5. Calculate g(k).\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (a**(-2\/3)\/a*a*a**6\/a)**(-15\/2) assuming a is positive.\nAnswer: a**(-65\/2)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: How many milligrams are there in 3\/25 of a gram?\nAnswer: 120","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth root of 379795 to the nearest integer?\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -341305*u**3 - 6*u - 31770322?\nAnswer: -1023915*u**2 - 6","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let f be ((-3)\/2)\/(2 + 50\/(-40)). Let d(c) = 15*c + 17. Give d(f).\nAnswer: -13","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(y) = 1. Let h(a) = -7*a + 4. Let x(u) = -h(u) + 5*n(u). Let c = 289 - 283. Calculate the remainder when x(3) is divided by c.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -80 + 165. What is the tens digit of z?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 71\/5 of a litre?\nAnswer: 14200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.028681 rounded to 3 decimal places?\nAnswer: -0.029","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve 8*f**4 + 200084*f**3 - 9122228*f**2 - 46201064*f + 55123200 = 0 for f.\nAnswer: -25056, -11\/2, 1, 50","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Work out 1.1 - 29602076920.\nAnswer: -29602076918.9","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let v(q) = -11*q**2 - 5*q. Let x(k) = -15*k**2 - 7*k. Let n(s) = 4*v(s) - 3*x(s). Let g(p) = -3*p**3 - 5*p**2 - 5*p + 7. Determine -g(y) - 5*n(y).\nAnswer: 3*y**3 - 7","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between -0.4 and -0.0523128?\nAnswer: 0.3476872","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of 318, 639, 958, 1275, 1590, 1903?\n\"Answer: -q**2 + 324*q - 5","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 18831 - 18831 + 75*r - 9*r**3 to the form y*r**2 + x*r**3 + p*r + n and give p.\nAnswer: 75","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 1046301*s**5 - 1997151*s.\nAnswer: 20926020*s**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -3923*a - 3*a**2 + 18 - 28 + 15 - 5.\nAnswer: -3*a**2 - 3923*a","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from jsssjssssssj. Give prob of sequence jsss.\nAnswer: 7\/55","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is -1\/1197577358 less than or equal to -1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 14.57433l in millilitres?\nAnswer: 14574.33","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let j(m) = -m**2 - 10*m + 27. Let p be j(-12). Factor -p*s**4 + 243*s - 237*s + 12*s**3 - 15*s**2 + 0*s**4.\nAnswer: -3*s*(s - 2)*(s - 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(f) be the first derivative of 3*f**2\/2 - f + 7. Let n(j) = -9*j + 2. What is 3*n(k) + 8*q(k)?\nAnswer: -3*k - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let -4*r**3 + 367992*r**2 - 2943744*r + 5887360 = 0. What is r?\nAnswer: 4, 91990","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_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: Let j(r) = -19*r**2 + 50*r + 2. What is j(3)?\nAnswer: -19","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((g**(-2\/9)\/(g*g**0*g))\/(g\/g**(-3)*g*g*g\/(g\/(g*(g\/(((g*g*g**(-6)*g*g*g*g)\/g)\/g))\/g))*g))**(7\/5) assuming g is positive.\nAnswer: g**(-154\/9)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 n and 2 d when four letters picked without replacement from {d: 3, q: 5, p: 1, n: 6}.\nAnswer: 3\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 2*i - 6*u + 22, 4*u + 15 = -5*i + 9*u for i.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (19\/(-4))\/(4\/(-48)*3). Suppose a*i - 10324 = 15*i + n, -4*i + 4*n + 10324 = 0. Is i a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 3*f**2 - 5146671*f + 5146668.\nAnswer: 3*(f - 1715556)*(f - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is 29886 a multiple of 7?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let k(b) = b**2 + 34*b - 6. Let j(c) = c**2 - 12*c - 2. Let m be j(12). Let y be (-147)\/(-6) + 0 + m\/(-4). Is k(y) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -0.2? (a) -4 (b) 24 (c) 2 (d) -2\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (i**(-4))**(-5)*(i*i**4\/i)**(1\/5) assuming i is positive.\nAnswer: i**(104\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let k(s) = 5*s - 14. Let v be k(6). Suppose -m - 4 = -v. Let z be (100\/m)\/(2\/1320000). What is z rounded to the nearest 1000000?\nAnswer: 6000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {f: 2, v: 1, w: 2}. Give prob of sequence vf.\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: 351831.616 times 0.5\nAnswer: 175915.808","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is 2db + 8c?\nAnswer: 367","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 4 plus 42178502?\nAnswer: 42178506","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*i - i - 11 = -5*g, 0 = 4*g - 5*i - 13. Suppose 0 = m - z - g*z - 4, -4*m + z + 16 = 0. Differentiate 3*q**m + 1 + 1 + 1 with respect to q.\nAnswer: 12*q**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 2988463?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 2.24 take away 199862982731?\nAnswer: -199862982728.76","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -1705734 = -l + 4394266. What is l rounded to the nearest 1000000?\nAnswer: 6000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 7608\/1902*(-2)\/(-11)?\nAnswer: 8\/11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -403, -389, -367, -331, -275, -193, -79, 73?\nAnswer: 269","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -1\/4 in 4, -216, -3\/4?\nAnswer: -3\/4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:16 AM and 2:49 PM?\nAnswer: 573","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in 1\/10, 16\/37, -0.3?\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 6.063838kg in milligrams?\nAnswer: 6063838","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 1328756 and 9568.\nAnswer: 1196","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 54 - 28. Suppose 5*u = -2*h + 77, 1040 = -4*h + 2*u + 1230. Calculate the remainder when h is divided by m.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 47559660 divided by -500628?\nAnswer: -95","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of -4060, -4067, -4086, -4123, -4184?\n\"Answer: -t**3 - 4059","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Factor 5*x**2\/2 + x\/4 - 9\/4.\nAnswer: (x + 1)*(10*x - 9)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (-65)\/(-7) - (-4)\/(-14). Let g = r + 0. Suppose 12329*a - 15 = -z + 12326*a, 4*a = 2*z - 30. What is the least common multiple of z and g?\nAnswer: 45","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(u) = -2*u**2 - 11*u. Let b(h) = h. Calculate 44*b(v) + 4*i(v).\nAnswer: -8*v**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let m(q) be the second derivative of -1\/6*q**3 + 0 + 139\/2*q**2 + 12*q. What is the remainder when m(0) is divided by 35?\nAnswer: 34","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -107\/408 and 125\/6936?\nAnswer: 6936","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*j + 183 = -329. Let t = -179 + j. Is t composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(g) = -4*g**2 + 2 + 16*g**2 + g - 1. Does 29 divide j(3)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*c + 264*o - 267*o - 11 = 0, 3*o + 7 = -c for c.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((t\/((t**3\/t)\/t))\/t)**(-24) assuming t is positive.\nAnswer: t**24","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -52*c - 19 + 279 = 0. Suppose 0 = -2*w - c*w + 406. Round w to the nearest 100.\nAnswer: 100","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -11 - (-18 + (-11 - -10)).\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.772 - 12459?\nAnswer: -12459.772","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 23 divided by -73.\nAnswer: -23\/73","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is 36 a factor of 6501384?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the ninth root of 308387 to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-2 - 0) + 8 + (9 - (22 + -9)).\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((h*h**1)**35)**(-10\/7)*((h\/h**(-1))\/(h*h**(-1\/6)))**(-49) assuming h is positive.\nAnswer: h**(-943\/6)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let o(y) = -139*y**2 + 5*y + 9. Let r(j) = 69*j**2 - 3*j - 5. Let m(g) = -4*o(g) - 7*r(g). Let h = 278 - 279. What is the units digit of m(h)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.000127939347 to six decimal places.\nAnswer: 0.000128","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let q be 4\/(4\/11) + 0. Let q*h + 3*h**2 - 12*h - h**2 - h**3 = 0. Calculate h.\nAnswer: 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(w) = 3*w**3 - 97*w**2 + 30*w + 58. Give t(32).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of 354, 5777, 16250, 31773?\n\"Answer: 2525*a**2 - 2152*a - 19","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let c(h) = 10*h**2. Let r be c(-1). Suppose 3*q - r = g, -42 = 3*g + q - 4*q. Does 9 divide (g - -2)\/((-8)\/20)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -6*f + 27*f - 116*f.\nAnswer: -95*f","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let c(i) = i**2 - 11*i + 24. Let l be c(10). Suppose -2*w + 5*p = -6*w - 7, 0 = w + 2*p + 4. Let h be w\/(-1)*l\/28. Let j(r) = -r - 1. Determine j(h).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*c = -3*o + 2*c - 39, 2*o + c = -13. Let d(n) = -n**2 - 10*n - 16. Let u be d(o). Suppose u = -4*a + 68 + 180. What is the units digit of a?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {q: 3, s: 1, z: 1}. What is prob of picking 1 z and 2 q?\nAnswer: 3\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4786*s = -16042 - 204114 for s.\nAnswer: -46","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (-1)\/(4 + -3)*-5. Suppose i - h - 9 = r*i, -h + 1 = -i. What is the remainder when (25 - 0) + i\/2 is divided by 5?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -3*h - 2*h + 4*h + 1 - 1 - 2*h + (6*h - 3*h - 2*h)*(5 - 3 - 3) + 2*h - 2*h - h + (-2 + 3 - 2)*(h + 0*h + 6*h) - h - 2*h + h.\nAnswer: -14*h","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Convert -1406 (base 10) to base 7.\nAnswer: -4046","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 86 a factor of 72410022?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 1 + sqrt(156)\/(sqrt(12) - sqrt(132)\/(sqrt(11) + sqrt(99)\/sqrt(9))) + -4.\nAnswer: -3 + 2*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (-28)\/(-12) - 4 - -1*2. Let x be (-5)\/3 - (-1 + 0). Which is the smallest value? (a) u (b) x (c) 1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(h) be the third derivative of h**6\/120 + h**5\/6 + 5*h**4\/6 + 41*h**3\/6 - 67*h**2. Let a be w(-8). Solve 3*q - 3*n + a = 0, 6 = -3*q + n + 1 for q.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 9101*a**3 + 2*a**2 - 223*a - 21.\nAnswer: 54606","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -83\/1152 and (-897)\/270*5 + 9.\nAnswer: 1152","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: 22 divided by 56\nAnswer: 11\/28","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 375249 is divided by 647.\nAnswer: 636","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*h = -5*c + 968, 8*h - 4*h + 2*c - 1920 = 0. What is the tens digit of h?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (5\/25*9)\/(22902\/(-763400))?\nAnswer: -60","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 17 a factor of 2770082?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*i - 14 = -h, -5*i + 3 = 7*h - 31. Let p = -0.04 + -0.26. Which is the nearest to -28? (a) 5 (b) p (c) i\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(k) be the first derivative of -k**4\/4 - 2*k**3 - 2*k**2 + 6*k - 10. Let w be t(-6). Suppose -3*p = g - w, 0 = -2*p + 3*g + 17 + 14. Does 11 divide p?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.1514 take away 94232685.3?\nAnswer: -94232685.4514","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*x**2\/2 + 5214830*x + 114726865\/2 = 0. What is x?\nAnswer: -11, 2085943","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*n + 156 = 5*z - 0*n, 3*z - 94 = -2*n. Find the second derivative of 3*k**4 + k - z*k**4 + 5*k wrt k.\nAnswer: -348*k**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*m = 4*o + 6, 0*m + m = -o + 3. Suppose -3*j = 3*j - 18. Find z such that -6*z + z**j - 9*z**3 - 4*z**m - 21*z**2 - 3*z**3 = 0.\nAnswer: -1, -2\/5, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(h) be the first derivative of h**5\/20 - 7*h**4\/16 - 17*h**3\/12 - 9*h**2\/8 + 362. What is u in r(u) = 0?\nAnswer: -1, 0, 9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: 0.134 times 0.3\nAnswer: 0.0402","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -171 = -40*v + 189. Calculate the lowest common multiple of v and 1161.\nAnswer: 1161","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 17036099 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0 + 0 - i**2)*(50 + 23 - 27).\nAnswer: -46*i**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 62506?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is 175 at most as big as 177?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*v - 30 = -2*m, -4*v = -0*v - 5*m - 24. Let n be 2*(30\/4 + -1). Let j = n - v. Solve -2*l - 2 = 3*d, j*d + l = -2*d + 4 for d.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 405786674 to the power of 1\/7, to the nearest integer?\nAnswer: 17","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -3 + 2. Let d = v + 1.3. Let n = -51 + 50. Which is the closest to 1? (a) -1\/2 (b) d (c) n\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 1 + -2. Let s = f - -5. Solve 5 = -5*g, 2*h - 2*g = 2*g - s for h.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(q) = -21*q - 13. Let n be -6 + (3 - -9) - 9. Determine p(n).\nAnswer: 50","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(q) = -2*q**2 - 607*q. Let z(g) = 2*g**2. Determine r(z(f)).\nAnswer: -8*f**4 - 1214*f**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 0 + 5*z**3 + 17*z**3 - z**2 + 85*z - 2 - 83*z - 6*z**3 to a*z**3 + c*z**2 + x*z + l and give x.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:17 AM and 5:43 PM?\nAnswer: 446","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8*l = 6*l. Suppose l + 4 = 2*z, 3*x - 17 = -z. Let j = 25 - 23. Solve -j = -x*t + 3*t for t.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*d = c - 8, 2*c - 13 + 5 = -4*d for c.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let t be 8\/(-18) - 10\/(-45). Suppose -p - 2 = -0. Suppose -11 = -4*l + 5. What is the third smallest value in l, p, t?\nAnswer: l","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -10*x - 10*x = -5980. Let r = 285 - x. Is -10 less than r?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 30892.728 + -30829. What is w rounded to the nearest 10?\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 22605941 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 4 + sqrt(432) + 3 + 5 + -3.\nAnswer: 9 + 12*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Does 10 divide 8430?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {r: 1, n: 4, u: 7, v: 1}. What is prob of picking 1 r, 2 n, and 1 v?\nAnswer: 6\/715","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose m + 5 = 12. What are the prime factors of m?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 244*j = 246*j - 690. Does 5 divide j?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 9*s - 5 = 10*s. What is the nearest to 2 in 1\/6, s, 0?\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 2*o**3*q**3 + 8*o**2*q**2 - 3*o**2 - q**3 - 2*q - 33 wrt o.\nAnswer: 6*o**2*q**3 + 16*o*q**2 - 6*o","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let g be 1\/(-5) - (-3)\/(-35). Suppose -4 - 11 = -5*h. Suppose -c = -h*u - u - 13, -u - 17 = -3*c. Is u != g?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 55 - 107\/2. Let v = 0.056 - -5.444. Let h = v + -5.5. What is the third biggest value in h, 0.01, o?\nAnswer: h","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-17)\/((-357)\/(-3)) - (-6)\/(-14)?\nAnswer: -4\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is 34688466 a multiple of 306?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 19*i = -5*i + 24. Factor -5 + 3 - i + g**2 + 2.\nAnswer: (g - 1)*(g + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) 11\/62 (b) 1\/5 (c) 3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 6*(1*sqrt(343) - sqrt(343))**2.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 549 and 99.\nAnswer: 6039","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-4*r + r + r)*(56*r - 124 + 134 - 3*r).\nAnswer: -106*r**2 - 20*r","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let p be 132\/(-10)*(-28)\/612. Let l = -1\/255 + p. Factor -1\/5 - 3\/5*t**2 - l*t - 1\/5*t**3.\nAnswer: -(t + 1)**3\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence tb when two letters picked without replacement from {b: 1, c: 2, t: 2, e: 1}.\nAnswer: 1\/15","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is 1005 a factor of 10314951?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -3 divided by -14005.\nAnswer: 3\/14005","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in -2\/27, 0.1562, 7, -0.4, 4?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 301302456 to the power of 1\/4, to the nearest integer?\nAnswer: 132","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -i**2 + 8*i**6 + 2*i**6 - 3*i**6 wrt i?\nAnswer: 840*i**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -2 (base 9) in base 16?\nAnswer: -2","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 7408 is divided by 1739.\nAnswer: 452","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -14*m + 10*m + 112 = 0. What is the remainder when 165 is divided by m?\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1 > 48\/8143?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-128)\/66 + 536\/(-8844)?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is -1200401 (base 6) in base 3?\nAnswer: -10011112101","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*f + 50 = 6*f. What is the remainder when 27 is divided by ((-12)\/f)\/(6\/(-20))?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine q, given that -25*q**2 - 1 + 11 - 5*q + 0*q - 32*q**3 + 22*q**3 = 0.\nAnswer: -2, -1, 1\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is -1542333 - 1333?\nAnswer: -1544110","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is 243589907 a multiple of 3?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Product of 325.761 and 7.9.\nAnswer: 2573.5119","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 62 - -135. Let c(z) = 390*z - i*z - 197*z. Determine c(2).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -i**4 - 77103714*i + 53671642 with respect to i.\nAnswer: -4*i**3 - 77103714","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let x(i) = -i**2 + 9*i - 3. Let s be x(8). Let v be -4*((-15)\/40)\/1. Let -v*r**s + 9\/2*r**3 + r**4 + 0*r**2 - 2*r + 0 = 0. Calculate r.\nAnswer: -1, 0, 2\/3, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(l) = l**2 - 12*l + 31. Let x be r(9). Suppose k + 17 = 3*c - 2, -4*k + 28 = c. Let i be c*3\/(-6) + 8. Solve p + 3*n = -x, -n - 5 = -i for p.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is 2 + 243c8?\nAnswer: 243ca","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 5 divided by -146?\nAnswer: -5\/146","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-1 + 4 - 2 + (1 + 2 - 1)*(-1 + 0 + 3))*(-6 + 3 - 10)*(-9*o + 9*o + o**2 + 2)*(-o + 3*o - o).\nAnswer: -65*o**3 - 130*o","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 186865198?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of 1253, 1258, 1307, 1400, 1537, 1718, 1943?\n\"Answer: 22*j**2 - 61*j + 1292","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let z(l) = -3*l - 1. Let f be z(-1). Let q = -1 - 2. Let y = q + 2. Which is the biggest value? (a) y (b) 5 (c) f\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -c + 3*l = -150, -5*c + 322 = 5*l - 328. List the prime factors of c.\nAnswer: 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find b such that -22445 + 120*b + 303*b - 125*b - 5*b**2 + 217*b + 155*b = 0.\nAnswer: 67","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -38 = 6*x - 2*s, -4*x - 3*s - 310 = -315 for x.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let r be ((-18)\/(-12))\/((-9)\/(-6)). Let z be (12\/(-10))\/(9\/(-30)). What is the highest common factor of r and z?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of -9054, -4954, -854?\n\"Answer: 4100*u - 13154","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let i be ((-85)\/(-68))\/(2\/8). Sort 0, 8, i.\nAnswer: 0, i, 8","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 91\/136 and 107\/728.\nAnswer: 12376","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let i(z) = 7*z + 11. Suppose 2*w - 24 = -5*v, -3*w + v = -w - 12. Let y(t) = 8*t + 13. Let j(a) = w*i(a) - 6*y(a). Give j(-5).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -3390 + 3394. Which is the second biggest value? (a) z (b) -27 (c) -0.3 (d) -6\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -105.3 times -5?\nAnswer: 526.5","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 1185 and 91182985.\nAnswer: 395","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let d be 46\/(-120) + (-3)\/(-12). Let f(b) = b**3 - b**2 - b + 1. Let j be f(0). Let m be 1\/(3*20\/(-6)). What is the second smallest value in m, d, j?\nAnswer: m","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of -29, -33, -37, -41, -45?\n\"Answer: -4*f - 25","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 722064122?\nAnswer: 2, 13, 27771697","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -166.4375 + 157.33. Round p to 2 decimal places.\nAnswer: -9.11","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 3*z + 0*z - 12*z - z.\nAnswer: -10*z","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let a(h) be the first derivative of 0*h**5 - 3 + 0*h + h**3 + 0*h**4 + 0*h**2 - 1\/2*h**6. What is the third derivative of a(u) wrt u?\nAnswer: -180*u**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -15 minus 0.39257?\nAnswer: -15.39257","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-1 - (25 + -44)) + 2 + 10?\nAnswer: 30","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 991 + (6 - 3) - (10 - 9)?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 830 + -27. Suppose 0 = -5*a + d + 747. What is the greatest common factor of a and 31?\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(x) = x**3 + x**2 + 2. Let y be c(0). Suppose 2*w = y*h + 218, -h - 33 - 46 = 5*w. Let m = -57 - h. Is m composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -105373268 divided by 684242?\nAnswer: -154","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 207 minutes after 9:25 PM?\nAnswer: 12:52 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -20*t + 40*t - 28*t.\nAnswer: -8*t","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let r(n) = 31*n + 14. Let p(b) = -15*b - 8. Let u(o) = -7*p(o) - 4*r(o). Let g(z) be the first derivative of z**2\/2 + 6. Give u(g(l)).\nAnswer: -19*l","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 607 minutes after 7:29 AM?\nAnswer: 5:36 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is 6492025049 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let k be -4*8\/2304*-15. Let d(v) be the third derivative of -k*v**4 + 2*v**2 + 0*v**3 - 11\/60*v**5 + 0 + 0*v. Let h(o) = -39*o**2 - 18*o. Give 18*d(n) - 5*h(n).\nAnswer: -3*n**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is 34127472 a multiple of 24?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -6688 - -6687.9. Sort g, 28, 1\/2.\nAnswer: g, 1\/2, 28","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 298 minutes after 8:46 AM?\nAnswer: 1:44 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (80\/100)\/(32\/27280). Solve -8*u - l = -642 for u.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence xnto when four letters picked without replacement from {o: 2, j: 3, x: 8, t: 5, n: 1}?\nAnswer: 5\/5814","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*v - k = 12, 5*v - 784 + 799 = -4*k for v.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 428 minutes after 5:09 AM?\nAnswer: 12:17 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -679, -677, -675, -673, -671, -669?\nAnswer: -667","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Put -3, 2, -87, -4 in descending order.\nAnswer: 2, -3, -4, -87","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -61 - 1261*m + 27 + 28 + 6 + 2640*m**3 wrt m.\nAnswer: 15840*m","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*x**3\/7 - 8392*x**2\/7 + 3817080*x\/7.\nAnswer: -2*x*(x - 414)*(x + 4610)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of -91768168, -183536331, -275304494, -367072657?\n\"Answer: -91768163*w - 5","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Convert -22330 (base 4) to base 16.\nAnswer: -2bc","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 l and 1 a when two letters picked without replacement from pbapbebpebeblpeb.\nAnswer: 1\/120","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 282614629?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:45 AM and 9:50 PM?\nAnswer: 605","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is 56466467 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 5431416 and 228.\nAnswer: 228","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Does 48 divide 3397632?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 5904 and 16287168?\nAnswer: 48861504","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of 107, 171, 235?\n\"Answer: 64*m + 43","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand 0*g**2 + 0*g**2 + 2*g**2 + (-3 + 7 - 3)*(2 - 2 + g**2) + g**2 + 34*g**2 + 28*g**2.\nAnswer: 66*g**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 6, -40, -124, -240, -382, -544, -720?\nAnswer: -904","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {m: 1, a: 1, e: 2, c: 2, u: 2, w: 5}. What is prob of sequence acu?\nAnswer: 1\/429","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-1 + 0*y + 0*y - 2*y)*((12 + 11 - 10)*(y + 3*y - y) - 4*y + y + y)*(2 - 1 + 0).\nAnswer: -74*y**2 - 37*y","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in -4\/3, 9\/544, 1405?\nAnswer: 9\/544","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-4*((sqrt(110)*2 - sqrt(110))*4 + sqrt(110) - sqrt(110)))\/(2*sqrt(1000)*-2 + sqrt(1000) + sqrt(1000)))**2.\nAnswer: 176\/25","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 1 + 1. Find r such that 4 - 7*r**t + r + 6*r**2 - 2 = 0.\nAnswer: -1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*s + 5*s = -33*s - 40 for s.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ylhh when four letters picked without replacement from hvhlhyhohhvvv.\nAnswer: 1\/572","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(45) + -4 + sqrt(720)*1)**2.\nAnswer: -120*sqrt(5) + 1141","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is -375.703 times 768?\nAnswer: -288539.904","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -39*p = 56*p - 13153768 - 4451917. Is p composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -4 (base 10) in base 15?\nAnswer: -4","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -11616*c**4 + 793*c**2 - 793*c**2 - 68 - 8*c - 12 + 2026*c**4 wrt c?\nAnswer: -115080*c**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence szsi when four letters picked without replacement from {q: 3, z: 3, s: 5, i: 1}?\nAnswer: 1\/198","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Express (-4 + 4 + 2)*(-190*n + 208*n + 277*n)*(-3 + 3 + 4*n) in the form z*n + c*n**2 + r and give c.\nAnswer: 2360","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_test"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) 0.1 (b) 1 (c) -0.255\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let d be -13 + 4 - (9 + -14). Sort 10, 8, d.\nAnswer: d, 8, 10","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g be 72\/(-16)*(-16)\/18. Determine x, given that 7*x**g + 10*x**3 + 5*x**4 + 5*x**2 - 7*x**4 = 0.\nAnswer: -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(j) = -16*j. Let p be a(-2). Suppose 0 = -p*c + 35*c - 48. Is c a multiple of 11?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Product of 1 and 388429.\nAnswer: 388429","meta":{"dup_signals":{},"source":"arithmetic__mul_test"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 6*v**3 + 11 + 1 - v**3.\nAnswer: 5*v**3 + 12","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 50460 and 60?\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 397069?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let w(j) = j - 4. Let g be w(6). Let r be (-4)\/(-3 - -1) - (-10)\/(-2). Let y be 28\/5 - r\/(-5). Sort y, -5, g in descending order.\nAnswer: y, g, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 1673, 2493, 3313, 4133, 4953?\nAnswer: 5773","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -6284, -12585, -18886, -25181, -31464, -37729?\nAnswer: -43970","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(15)\/(-1*sqrt(300)).\nAnswer: -sqrt(5)\/10","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.34392109 to 2 dps.\nAnswer: -0.34","meta":{"dup_signals":{},"source":"numbers__round_number_test"},"subset":"dm_maths"} +{"text":"Question: Simplify ((g**(-2\/3))**(-39)*(g\/(g\/(g\/(g\/g**(-1\/2))*g)))**26)\/(((g**1*g)\/g*g)**(14\/9)\/(g**1\/g*g**(-2\/15))) assuming g is positive.\nAnswer: g**(1609\/45)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-10 - -9) + (-1 - 2) + (21 - -42)?\nAnswer: 59","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -86, -171, -258, -347, -438, -531?\nAnswer: -626","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -406, -127, 338, 989?\nAnswer: 1826","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2874*h - 79468 = 32618 for h.\nAnswer: -39","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 3023.909 grams in micrograms?\nAnswer: 3023909000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 355 + -292 + (0 - (1 - (-4 + 1))) + -5.\nAnswer: 54","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 1146041 to the power of 1\/2, to the nearest integer?\nAnswer: 1071","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Product of -0.03 and 8.\nAnswer: -0.24","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 381 + 979 = 10*b. Suppose 2*y - 112 = b. What is the hundreds digit of y?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_test"},"subset":"dm_maths"} +{"text":"Question: Let q(j) = j**3 - 2*j**2 - 4*j - 30. Calculate q(4).\nAnswer: -14","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 3783 is divided by 32?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Divide 1555 by 631276.\nAnswer: 1555\/631276","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 616702 is divided by 12585?\nAnswer: 37","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Express -7*f**2 + 9*f**2 - 9 + f**2 in the form b*f**2 + m + j*f and give b.\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let b(p) = -p**3 + 4*p**2 + 3*p + 4. Let u be 3 - ((3 - 4) + -1). Calculate b(u).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: -184793 - 0.3\nAnswer: -184793.3","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*r - 3 + 78 = 0. Let k = 59 + -42. Solve -3*m - v = 3*v + r, m - k = 5*v for m.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -24.57 + 18.57. Sort -0.03, 3\/5, -4, s.\nAnswer: s, -4, -0.03, 3\/5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 257709 (base 11) in base 3?\nAnswer: 202121012210","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 5*v - 3*v - 10. Let d be 56\/30*(-15)\/6. Let o = d + v. Which is bigger: 7 or o?\nAnswer: 7","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 269 is divided by 15.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2*d**3 + 1194*d + d**3 - 1194*d.\nAnswer: 3*d**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is 579139 less than 578860?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Convert -1 (base 9) to base 10.\nAnswer: -1","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Express -3*l**3 + 61 - 171*l**4 + 2*l + 197*l**4 + 2*l**3 - 60 as q*l**4 + f*l**3 + k*l + w + h*l**2 and give q.\nAnswer: 26","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Are -86 and -96 non-equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*g = -9*c - 30, 8860*g - 11 = 8857*g + 4*c for g.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*r = 0, 4*r + r + 24 = 2*n. Suppose -39 = 5*z + 2*b - 97, -5*z + 63 = -3*b. Let f = z - n. What is the nearest to f in -3, 5, 2\/5?\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of 81, 88, 95, 102, 109, 116?\n\"Answer: 7*s + 74","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -64, -294, -720, -1366, -2256, -3414, -4864, -6630?\nAnswer: -8736","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is 112002 + 2001?\nAnswer: 121010","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -37\/14310 and 74\/477.\nAnswer: 14310","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 5221869?\nAnswer: 3, 1740623","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: 619 * -24\nAnswer: -14856","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -90 = -15*o - 15. Suppose -o*b - 1759 = -4*p, -6*b + 421 = p - b. What are the prime factors of p?\nAnswer: 2, 109","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 36 and 18?\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 339063711?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*g + 3*t + 29 = 0, 25*g = 16*g - t + 1 for g.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Convert 3063025 (base 7) to base 12.\nAnswer: 159241","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is -16a7661 (base 11) in base 8?\nAnswer: -13025063","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let y be -3 - 3\/(12\/(-32)). Let g(t) = -t - 1. Let c be g(-5). Suppose -2 = l - 3*v + c, -9 = -4*l + v. Solve l*p = 0, -2*p + 10 = -2*u - y*p for u.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of 20603, 41200, 61797, 82394, 102991, 123588?\n\"Answer: 20597*v + 6","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -161\/1674192 and -5\/48.\nAnswer: 1674192","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 3997708.\nAnswer: 2, 11, 13, 29, 241","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let b(y) = 58*y + 2. Determine b(1).\nAnswer: 60","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(15)\/(-5*sqrt(45)).\nAnswer: -sqrt(3)\/15","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let b be 6*(15\/9)\/5. Suppose 12 = 4*q, 0 = -3*n - 2*q - b + 11. Suppose n = -j - 0. Put 4, j, -3 in ascending order.\nAnswer: -3, j, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 3600 + -3597. Solve 2*x - 26*v + 4 = -24*v, y*x - v - 2 = 0 for x.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*t + 12 = -2019*p + 2016*p, 0 = 3*t + 4*p - 13 for t.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 38 minutes before 8:06 PM?\nAnswer: 7:28 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is -6 - -1393?\nAnswer: 138a","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: 2.24 + -55.50960177846\nAnswer: -53.26960177846","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 24880?\nAnswer: 2, 5, 311","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let y(v) = -3*v - 5. Let j = -8 + 10. Suppose -a + j*s + 2 = -3*s, -s - 2 = 0. List the prime factors of y(a).\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -4, 77, -2 in increasing order.\nAnswer: -4, -2, 77","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 396149.1ml in litres?\nAnswer: 396.1491","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -13 - 2*u**3 + 2670549*u + 6*u**3 - 3*u**3 - 2670550*u - 116*u**2 to the form t*u + s + h*u**3 + w*u**2 and give h.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is 1367 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in fifty-three quarters of a litre?\nAnswer: 13250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let y(f) = 2*f + f - 1 - 4*f. Suppose 2*z = 3*m + 2*m - 21, 2*z = 3*m - 15. What are the prime factors of y(z)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 393, 391, 387, 381, 373?\nAnswer: 363","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 3956846 and 3.\nAnswer: 11870538","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -6*n + 2*n + 44. Let k = -10 + n. Solve 2*l + 1 = -k for l.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(z) = 156*z**2 + 3*z + 1. What is q(1)?\nAnswer: 160","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -15\/4? (a) 1.1 (b) -4 (c) -114 (d) -0.2 (e) 5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 270 minutes before 8:30 AM?\nAnswer: 4:00 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -18.2 in -4, -1176, -2?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 18283043.81 - -1.3?\nAnswer: 18283045.11","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0*-62136.6.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -6*s**2 - 3 - 9 + 2*s**2 - 35*s.\nAnswer: -4*s**2 - 35*s - 12","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*z - 15192 = -2*p, -z + 3*z + 4*p - 7584 = 0. Round z to the nearest one thousand.\nAnswer: 4000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2 + 1 - 195*l - 3.\nAnswer: -195*l","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 340735 and 55?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is -681 times 2251?\nAnswer: -1532931","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 1136772602?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 5 - (-2 - -2) - (160 - 168).\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1114200.\nAnswer: 2, 3, 5, 619","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 69\/1708226 and 7\/3.\nAnswer: 5124678","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let y(x) = 574*x - 10834. Determine y(22).\nAnswer: 1794","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 132040503 to the power of 1\/3, to the nearest integer?\nAnswer: 509","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -89*g + 15 = -94*g. Which is the closest to 0.1? (a) 6\/11 (b) -20 (c) g\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*w - 20 = -56. Suppose 0 = 3*f - 0*f - 6. Suppose 0*l + f*l = -b + 7, -3*l + 2*b = -28. What is the remainder when w is divided by l?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -92.303 - -0.1?\nAnswer: -92.203","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of (2\/4*50)\/((-5)\/(-30)).\nAnswer: 2, 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 0 + (2 - 6)\/(-4).\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 938.6493 rounded to the nearest 100?\nAnswer: 900","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Does 10 divide 6130?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((g*(g*((g*g**(-2)\/g*g)\/g*g)\/g*g)\/g)\/(g\/(g\/g**(-5))))**15 assuming g is positive.\nAnswer: g**75","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let t(m) = -m**3 + 58*m**2 - 60*m + 27. Calculate t(56).\nAnswer: 2939","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in -7\/11, 1.4, 126?\nAnswer: -7\/11","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve -6106*i = -12488*i + 6062*i + 20480 for i.\nAnswer: 64","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3336 = -272*t + 9048 for t.\nAnswer: 21","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let j(h) = -2*h**2 + h + 1. Let q(t) = -4*t**2 + 5*t - 1. Let i(v) = v**2 - v. Let n(z) = 6*i(z) + q(z). What is -4*j(r) - 5*n(r)?\nAnswer: -2*r**2 + r + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -269*a - 90.\nAnswer: -269","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Express (5*z**2 - z**2 + z**2)*(0*z - 2*z + z)*(2*z - z + 6*z) as u*z**2 + c*z + v + q*z**4 + f*z**3 and give q.\nAnswer: -35","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 222581, 220724, 215687, 205880, 189713?\nAnswer: 165596","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -9 = -5*s + 21. Let g be (2 - (5 - 2))*-8. Let j = g + 16. What is the highest common factor of j and s?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 2.4374 + 0.5626. Let g be (2 + 1)*(-1)\/(-2). Let f = -0.08 - 4.92. Which is the closest to g? (a) -0.4 (b) f (c) p\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 350385 a multiple of 19?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 632 is divided by 92.\nAnswer: 80","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence tzt when three letters picked without replacement from ztztzz?\nAnswer: 1\/15","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Convert 2811.46 weeks to seconds.\nAnswer: 1700371008","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 10332\/13 - 228357\/286. Suppose 0 = 2*q + 2*q - 2*v + 2096, -q = 3*v + 510. What is the common denominator of 1 + 1 + q\/120 and w?\nAnswer: 220","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d be 0 - (-3 + -2) - 1. Let c(h) = h**3 - 4*h + d - 4 + 1 - 7 + 3*h**2. Let v be ((-4)\/2 - 3) + 1. Calculate c(v).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*d + 5*t = -210, 4*d + t - 116 - 106 = 0. Calculate the greatest common divisor of d and 11.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 975.\nAnswer: 3, 5, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is -1 + -169?\nAnswer: -16a","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let 2*m**4\/9 - 1192*m**3\/9 - 4924*m**2 + 92200*m\/9 - 46694\/9 = 0. What is m?\nAnswer: -37, 1, 631","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: 0.0158 + -20975024\nAnswer: -20975023.9842","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*s - 60 + 4 = 0. Let j be 4\/s - (-58)\/7. Solve 0 = -4*a + t - 4*t - j, 2*a + 3*t + 4 = 0 for a.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(n) = n**3 + 4*n**2 - 4*n + 7. Let k(u) = -u**2 + u - 1. Give 4*k(r) + p(r).\nAnswer: r**3 + 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:16 AM and 5:26 AM?\nAnswer: 130","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let h be 7*1 + -2 + 2. Let t = -52605 + 52610. What is the smallest value in t, h, 4, -3?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: -148 + 156 - ((1 - -1) + (-7 - (-72 + 10)))\nAnswer: -49","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 68\/96195 and 83\/23630.\nAnswer: 454617570","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.000048442373 rounded to five dps?\nAnswer: 0.00005","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*p + 5*y + 12236468 = 3*p, -3*y = -3*p - 18354723. Let t = -2128239 - p. What is t rounded to the nearest 100000?\nAnswer: 4000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (-10)\/(-3) - (-6)\/9. Suppose k*d - 181 = 175. Is d a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 693\/(-126) - (-5)\/(-4) - -7.\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 1257 and 5873961.\nAnswer: 1257","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 o when two letters picked without replacement from {t: 6, o: 5, f: 1, y: 2, l: 1}.\nAnswer: 2\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -1009 + 1 = -84*k. Let v = 6 - 4. Solve k = -v*z + c, z - c - c = -12 for z.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -54 - -144. What is the tens digit of a?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 42 and 4862298?\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -7, 31, 101, 209, 361, 563, 821?\nAnswer: 1141","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 o and 1 b when two letters picked without replacement from {p: 2, r: 1, b: 3, o: 6, f: 1}?\nAnswer: 3\/13","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*d - 65 = i - 54, i = d - 5 for i.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1322.\nAnswer: 2, 661","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: -1.203*0.2\nAnswer: -0.2406","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 118 is divided by 12?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 32\/5 of a millennium in years?\nAnswer: 6400","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: (-4 - -5 - -3) + 1\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (0 - 7 - (-28 - -27)) + 10.\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-1 + (sqrt(495) - (sqrt(495) + (sqrt(495) - sqrt(495)*2)*1 - sqrt(495)))\/(sqrt(22)\/sqrt(8)))**2.\nAnswer: -24*sqrt(5) + 721","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let q(o) be the first derivative of 397*o**2\/2 + 227*o - 5. Let t(s) = 133*s + 75. Let c(i) = 4*q(i) - 11*t(i). Differentiate c(u) wrt u.\nAnswer: 125","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*m - 3*d - 61 = -0*d, 3*m = -3*d - 48. Suppose 2*l - 41 = l - 5*q, -3*l + 63 = -5*q. Let g = l + m. What are the prime factors of g?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*q - 22 = -r, 3*r + 3*q - q - 108 = 0. Let w(b) = -b**3 - 13*b**2 - 10*b - 120. Let g be w(-13). Suppose -g*o - r = -12*o. Is o a multiple of 2?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence xvra when four letters picked without replacement from vvvhrrcvhxra?\nAnswer: 1\/990","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 15 - 16. Let d be (3045\/(-42))\/(s\/2). Suppose -3*i + d = -131. List the prime factors of i.\nAnswer: 2, 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is -6593 - 266?\nAnswer: -6849","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let o(f) = f**2 + 4*f. Let a be o(-5). Suppose v - a*v = -312. Suppose -q - 73 = -3*h + v, -5*h - q = -257. Is h composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*j + 8 + 17 = 0. Suppose 0 = -j*t + 2*t - b, 2*b = 5*t. Is (-1)\/(1 - t)*-7 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is 458 + -25ba?\nAnswer: -2162","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from autuutdu. What is prob of sequence uu?\nAnswer: 3\/14","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*w**3 - 2*w**3 + 3*w**4)*(w - 67 + 64 + 3*w).\nAnswer: 12*w**5 - 9*w**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 70\/(-1365)*(-6)\/(-2)?\nAnswer: -2\/13","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let w be ((-17)\/(-34))\/(((-21)\/(-8))\/3). Sort 3\/8, -0.5, w, 1\/2 in decreasing order.\nAnswer: w, 1\/2, 3\/8, -0.5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 189480, 380072, 570664, 761256, 951848, 1142440?\nAnswer: 1333032","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: ((-4752)\/42240)\/((-2)\/10*3)\nAnswer: 3\/16","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 9409181 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 12 minutes after 5:32 PM?\nAnswer: 5:44 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 251 minutes after 10:01 AM?\nAnswer: 2:12 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*z = 4*p - 26, 93*z - 96*z = 18 for p.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is -1 at least as big as 3932\/36345?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: d990b (base 14) to base 9\nAnswer: 881330","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -37\/56 and -79\/23123128.\nAnswer: 23123128","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Divide 66600 by -3.\nAnswer: -22200","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.8861111 nanoseconds in milliseconds?\nAnswer: 0.0000008861111","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 34 + -33. Solve h - v = -0*h for h.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = r - 12 + 9. Solve -4*u + 5*w + 14 = -r*u, -4*w + 4 = 3*u for u.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor c**2 + 348284338*c + 30325495024024561.\nAnswer: (c + 174142169)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let a(f) = -9589*f - 42. Let o be a(22). Round o to the nearest ten thousand.\nAnswer: -210000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many kilometers are there in 5391.68 nanometers?\nAnswer: 0.00000000539168","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Sort 11, -6, -3, -4 in increasing order.\nAnswer: -6, -4, -3, 11","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let b(a) = a - 6. Let c be b(6). Let q be 18 + 2 - 15 - 412\/82. Are q and c nonequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -84527347.015 - 65.\nAnswer: -84527412.015","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let w(o) = -o**2 + 367*o + 7743. Determine w(-20).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 5771?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -1698 + 1703. Solve 59*l - o = 54*l for l.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:16 PM and 1:30 AM?\nAnswer: 254","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Sort -3\/2, -3.5, -1\/6 in descending order.\nAnswer: -1\/6, -3\/2, -3.5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*b - 1 = -5. Let z(r) = -r**3 + 5*r**2 + 2*r - 6. Let n be z(5). Suppose 44*d - n = 48*d. Is b <= d?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(a) = -2*a**3 + 4*a**2 - 5*a + 4. Let q be d(2). Let b = q + 17. Suppose 3*u = v + 1, 4*v + 3*u - 56 = -0*v. What is the greatest common factor of v and b?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 1523457752?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence pppp when four letters picked without replacement from pppppppppp?\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 123*i - 81*i + 168. Let y(z) = -5*z - 11. Let f(g) = -g - 3. Determine i*y(p) + 18*f(p).\nAnswer: 2*p - 10","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 6489245 and 3.\nAnswer: 19467735","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*u - 4*f = 28, 2826*f - 2830*f + 372 = 22*u for u.\nAnswer: 16","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Express (-550 + 647*j**2 + 550)*(8*j**2 - 14*j**2 - 8*j**2) in the form g*j**4 + b*j + c*j**3 + f + m*j**2 and give g.\nAnswer: -9058","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 1\/20 of a meter in micrometers?\nAnswer: 50000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 10305107 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let u(y) = y**3 + 17*y**2 + 28*y + 7. Calculate the remainder when 155 is divided by u(-15).\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose q + 1 = -5*d + 2, d - 3 = -3*q. Let r be (q\/9)\/(-10 - -9). Suppose 0 = -g + 2*g + 1. Is r != g?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 0 - 1761*p**2 + 10023*p**2 - 8277*p**2 + 0.\nAnswer: -15*p**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 21 - 9. Suppose -16 = -4*r + a. What is the second derivative of r*f**4 - 251 + 3*f + 10*f + 251 wrt f?\nAnswer: 84*f**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 94004772?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Subtract 1 from -6139396316701.\nAnswer: -6139396316702","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let s(b) = -3 + 5 - 1. Let i = 9 - 6. Let g(m) = m - 1. What is i*s(x) + 3*g(x)?\nAnswer: 3*x","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 406175862?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 9 + -108 + -4 + (-36 - (41 - 74)).\nAnswer: -106","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (-37)\/(-3) - ((-35)\/(-15) + -2). Suppose -4*t - 2*t + b = 0. Find the third derivative of -12*x**2 - 15*x**2 - 4*x**3 + 33*x**t wrt x.\nAnswer: -24","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -83747597*c**2 - 80779*c + 247.\nAnswer: -167495194","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 2063.46958 rounded to the nearest 10?\nAnswer: 2060","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 15694718 is divided by 3580?\nAnswer: 3578","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 1548 and 285732?\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 62*v - 34 = 28*v + 32*v for v.\nAnswer: 17","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 42472\/9 or -538?\nAnswer: -538","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 8*h - 8 - 232. What is the highest common factor of 10 and h?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o be 2 - ((-1)\/1 - 2). Is 4*((-380)\/(-8))\/o a multiple of 18?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -3\/130 and 17\/1582984?\nAnswer: 7914920","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8*f - 7*f = 113. Let w(v) = f*v + v**2 - 113*v. Let m(q) = 5*q. Let l(i) = 2*i. Let h(a) = -8*l(a) + 3*m(a). Give w(h(s)).\nAnswer: s**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -0.2 + 0.237. Let v = k + 0.373. Let w = -0.01 + v. What is the nearest to -0.2 in 3, -0.4, w?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(c) = 34*c**2 - 370*c - 41. Determine a(11).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7*s = s + s. Solve -l - 107 + 111 = s for l.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 32 - 14 = a. Solve 8*g + a = -g for g.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -30*w + 14*w = -87376. Is w prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence wu when two letters picked without replacement from qqqwqquqququqquqqqqu?\nAnswer: 1\/76","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.00000337 rounded to six dps?\nAnswer: -0.000003","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -83\/10488 and 5\/72?\nAnswer: 31464","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 15, 51, 111, 195, 303?\nAnswer: 435","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve -12*j = 13*p + 14, -5*j = -3*p + 9*j - 18*j - 2 for p.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -22\/15 and 113\/1260.\nAnswer: 1260","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 98862 is divided by 14109.\nAnswer: 99","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let b(s) = 3*s**3 - 9*s**2 - 9*s - 8. Calculate b(-3).\nAnswer: -143","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let v be ((-135)\/(-1215))\/(2\/342). What is the greatest common divisor of v and 247?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -244 + 276 + (-33 - -5)?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let q(h) be the first derivative of 11 + 176\/39*h**3 + 2\/39*h**6 + 28\/13*h**4 + 34\/65*h**5 + 64\/13*h**2 + 32\/13*h. Factor q(w).\nAnswer: 2*(w + 2)**4*(2*w + 1)\/13","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out -2 * 0.28928.\nAnswer: -0.57856","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is fifty-four fifths of a microgram in nanograms?\nAnswer: 10800","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: 15\/20*32\/3\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 211869?\nAnswer: 3, 7, 19, 59","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {w: 2, j: 4}. What is prob of picking 1 w and 1 j?\nAnswer: 8\/15","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of -7866, -7855, -7836, -7809?\n\"Answer: 4*o**2 - o - 7869","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-14*j - 5*j - 21*j)*(-4 + 3 + 3 + (0 - 2 + 4)*((1 - 1 - 1)*(-1 + 3 + 0) - 1 + 2 + 0 - 4 + 1 + 1)).\nAnswer: 160*j","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Expand (11164*p + 11172*p + 5*p**2 + 7*p**2 - 22336*p + 1119)*(-4*p**3 + 4*p**3 + 3*p**3).\nAnswer: 36*p**5 + 3357*p**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) -4 (b) 0.03 (c) 0 (d) 6142\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 35011*q**2 - 113 + 113 - 35437*q**2.\nAnswer: -426*q**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 3 + 26 - -5 - (-38 + 24 - -2)?\nAnswer: 46","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let q(f) = -267*f - 126. Let m be q(-8). Suppose 0 = 3*r + 5*w - m, 3*r + 0*r = 3*w + 2034. Is r a multiple of 15?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 393.59 to 0 decimal places.\nAnswer: 394","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of (10 - 1358\/(-35))\/(4\/550).\nAnswer: 2, 5, 11, 61","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -5061 not equal to -5089?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 23 - 7*u + 9 - 14.\nAnswer: -7*u + 18","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -1294707 = -227*k + 325445 + 1770093. What is the thousands digit of k?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -0.3 - -0.4. Let h = 3.1 - w. Let y = h + -3. What is the closest to y in -1\/3, 3, -0.4?\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(a) = 4*a**2 + a. Does 25 divide h(-5)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v be -1 + (51\/8)\/(84\/16). Which is the second smallest value? (a) 0.5 (b) v (c) -0.1 (d) 5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 1 or -4\/179321?\nAnswer: -4\/179321","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: -4+44198\nAnswer: 44194","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (91\/(-78))\/((-126)\/(-54))?\nAnswer: -1\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange ((4 - 5 + 3)*(2*p - 2 + 2) + 2*p - p + 0*p + 6*p + 0*p - 2*p)*(12 + 12 - 21) to u*p + j and give u.\nAnswer: 27","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let p(u) = -u**3 - 28*u**2 - 17*u - 52. Calculate p(-3).\nAnswer: -226","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 44730?\nAnswer: 2, 3, 5, 7, 71","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 514840?\nAnswer: 2, 5, 61, 211","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let o(a) = -3*a**2 + 38*a - 10. Let m(i) = i**2 + 28*i + 39. Let f be m(-27). Is 9 a factor of o(f)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -6 > 1\/3?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 3*j - 30*j - 22*j + 6*j - j.\nAnswer: -44*j","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 14 + 2 + (89 - (-46 - -106)).\nAnswer: 45","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 4 + sqrt(216)\/sqrt(8).\nAnswer: 4 + 3*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -3\/5? (a) -5 (b) -758\/11 (c) 48 (d) -4 (e) 4\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -9*j = -4*j - 55. Suppose 0 = 3*b - h - 69, -115 = 6*b - j*b - 2*h. Let r = 4 + -2. Solve 4*l - 12 = 4*q, 5*q - r*q - b = -5*l for l.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -0.032, 2\/5, -2\/3, 4, 8 in ascending order.\nAnswer: -2\/3, -0.032, 2\/5, 4, 8","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in -182, 1, -4?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 167405 and 140.\nAnswer: 35","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of (-28)\/(-6) + 6 + 7\/(84\/(-8)) and 665?\nAnswer: 1330","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*g - 5*z - 52 = 0, -4*z + 21 - 85 = -4*g. Let s(d) = 12*d - 46. Suppose -y + 57 - 44 = 0. Calculate the remainder when s(y) is divided by g.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -18*q + 15*q + 6 = 0. Let x(t) = -t**q + 87 - 37 - 19*t - 42. Let y be x(-17). What is the highest common factor of 70 and y?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in -4, 0.01, -0.05, -0.4, -1?\nAnswer: -0.05","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 529672*-170.\nAnswer: -90044240","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is 80\/(-24)*27\/(-15) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 186 and 6.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 29*r + 496 - 4 - 2435 for r.\nAnswer: 67","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let n(v) = v**2 - 10*v + 18. Let j be n(8). Suppose -j*s + s = 0. Solve x + 3 + 1 = s for x.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {s: 3, k: 3}. Give prob of sequence sk.\nAnswer: 3\/10","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 6 and 78?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in -0.55, -7, -3?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Does 5 divide 345678160?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let x(p) = -p**2 + p + 374118. Let f be x(0). Let q = f + 95882. Round q to the nearest one hundred thousand.\nAnswer: 500000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -2859, 5, 4, 2 in increasing order.\nAnswer: -2859, 2, 4, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let x(l) be the first derivative of 35\/3*l**3 + 47 + 24*l**2 + 0*l. What is the second derivative of x(n) wrt n?\nAnswer: 70","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (2199997*1)\/(2 - 1). Let c be h\/2 - (-3)\/2. What is c rounded to the nearest one million?\nAnswer: 1000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 3*z + 46*z - 17*z.\nAnswer: 32*z","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 64 and 4.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -50*n**2 + 19*n**2 - n**4 + 26*n**2 - n**3 - 1 to the form k*n**4 + h*n**2 + z + m*n**3 + t*n and give z.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let v(p) = p**3 - p - 1. Let y(m) = 3*m. Give 2*v(t) - y(t).\nAnswer: 2*t**3 - 5*t - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is (-6960)\/580*(-2)\/12*(-9)\/(-2)?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: -0.076713 + 574013\nAnswer: 574012.923287","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (163\/(-35) - 22\/110)\/(18\/(-63))?\nAnswer: 17","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 10 minutes before 3:11 PM?\nAnswer: 3:01 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let h(c) be the first derivative of -c**6\/360 + 2*c**3 + 9. Let o(a) be the third derivative of h(a). Let n(b) = -10*b. Calculate n(o(i)).\nAnswer: 10*i**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -28*a**2 + 72*a**2 - 32*a**3 + 135*a**3 + 35 - 42*a**2 wrt a?\nAnswer: 618","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -2\/1935 + -34816\/13545. Calculate the common denominator of r and 23\/4.\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(k) = 3*k - 22. Let m(f) = -f**3 + 30*f**2 - 208*f + 157. Let i be m(20). Let r(g) = -4*g + 23. What is i*y(h) - 2*r(h)?\nAnswer: -h + 20","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {v: 2, g: 4, l: 3}. Give prob of picking 2 l.\nAnswer: 1\/12","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 418704 divided by 132?\nAnswer: 3172","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*m + 0*o = 2*o - 4, -m - 3*o - 9 = 0. Suppose -26 - 26 = -k + 5*s, 0 = -m*k + 4*s + 134. Calculate the highest common factor of k and 28.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(y) = y**3 - 16*y**2 - 191*y - 29. Give l(24).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is 30611023 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let d(i) be the second derivative of i**7\/112 + i**6\/80 - 3*i**5\/80 - i**4\/16 + i**3\/16 + 3*i**2\/16 + 4*i. Solve d(m) = 0 for m.\nAnswer: -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*w - 3*g = -9, -4*g - 29 = 5*w - 2*g. Suppose 11*i - 72 = 3*i. Suppose -11*t + 14*t = -i. Sort -2, t, w.\nAnswer: w, t, -2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w be ((-2)\/4)\/(27\/1998). Let l = w + 40. Sort -15, -1, 2, l in decreasing order.\nAnswer: l, 2, -1, -15","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let -6*m**5\/7 + 146*m**4 - 33526*m**3\/7 - 59438*m**2\/7 + 23500*m\/7 = 0. What is m?\nAnswer: -2, 0, 1\/3, 47, 125","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is -4493 divided by -8?\nAnswer: 4493\/8","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let k be -1*(2 + 2)*1. Let n(p) = -27*p - 87. Let y be n(-5). Let j be 102\/(-8)*y\/(-36). Which is greater: j or k?\nAnswer: j","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(q) = q**3. Let d(w) = 9*w**3 + 6. Let v(z) = d(z) - 2*j(z). Differentiate v(i) wrt i.\nAnswer: 21*i**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 8 and 391292328.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 8770 is divided by 593.\nAnswer: 468","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -33 - -33.034. What is s rounded to 2 dps?\nAnswer: 0.03","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 3 divide 1230?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let d(a) = a**3 + 5*a**2 - a - 3. Calculate d(-5).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -2175 + 2767. List the prime factors of a.\nAnswer: 2, 37","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(b) be the third derivative of -b**4\/8 + 5*b**3 - 166*b**2. Calculate m(8).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(v) = 9*v - 379. Give s(42).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -o + 4*o + 15, 5*w + 2*o = 5. Suppose -t = -w*t - 2, -5*t - 17 = -4*i. Sort i, -24, 1 in ascending order.\nAnswer: -24, 1, i","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (h\/h**14)\/(((h\/h**(1\/17))\/h)\/h) assuming h is positive.\nAnswer: h**(-203\/17)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:48 AM and 5:05 PM?\nAnswer: 617","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -s - 1 = -15. Let b = -12 + s. What is the second derivative of -43*v**b + 79*v - 157*v + 41*v + 68*v wrt v?\nAnswer: -86","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 3*(-1 + (0 + sqrt(832) + -2 + sqrt(832) + sqrt(832)*-3 + -4)**2).\nAnswer: 288*sqrt(13) + 2601","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -0.2*-648041.\nAnswer: 129608.2","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let y(j) = -5*j + 3*j + j + 8 + 0*j. Let d be y(7). Suppose 2*s = 5*z + d, -s + 2 - 3 = -z. Which is the closest to -0.1? (a) -1 (b) -0.07 (c) s\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when (-36)\/(-216) + (-545)\/(-6) is divided by 6?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1449 is divided by 1333.\nAnswer: 116","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 71005645 to the nearest integer?\nAnswer: 8426","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth biggest value in 4, -2, -3\/2, 0.05, 0.06?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let v(z) = z**2 - 3*z - 3. Let l be v(2). Find the common denominator of (-2)\/l - (-77)\/28 and (10\/(-80))\/((-51)\/(-44)).\nAnswer: 1020","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: -189896 times 13.4\nAnswer: -2544606.4","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 183*g + 4048*g + 1595*g - 320430 for g.\nAnswer: 55","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let q(z) be the first derivative of 5*z**3\/3 - z - 3. Suppose 3*v - 24 = -v - 4*i, -4*i + 16 = 2*v. Let j be ((-12)\/v + 1)\/(-4 + 2). Determine q(j).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(a) = -41*a**2. Let k(i) be the third derivative of i**6\/720 + 13*i**4\/4 + 112*i**2. Let n(b) be the second derivative of k(b). Determine v(n(y)).\nAnswer: -41*y**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is 1467008 a multiple of 292?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*g + 2*d + 26, 0 = -5*g - 3*d + 81 - 6. What are the prime factors of 3\/g*-2*(-10 - 224)?\nAnswer: 3, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(m) = 5257*m - 596. Is a(15) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 3888*q**3*t**3 - 2*q**3*t**2 + 4179*q**3 - 13*q*t**3 - 8*q*t wrt t?\nAnswer: 23328*q**3 - 78*q","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let m(d) = -5*d. Let b be m(-5). Let h(l) = b*l + 22*l - 44*l - 3. Give h(2).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (50\/625)\/((2\/(-1))\/(-20))?\nAnswer: 4\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve -424*z - 138 = -470*z for z.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 19\/111 - 1889\/444. Suppose -4*a - l - 88 = 0, -70 = 4*a + 2*l + 22. Let w = -69\/4 - a. Find the common denominator of w and y.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -101 = 6*n - 287. Suppose -n = 2*l - 4*i - 1, 0 = 3*l - 4*i + 37. Let c be 10\/35 + 23\/l + 3. Solve 5*d - 3*a = 0, d + c*d + 5*a = 0 for d.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1422071748.\nAnswer: 2, 3, 43, 139, 2203","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let x(h) = -h**3 + 14*h**2 - 14*h + 18. Let y be x(13). Solve v - 12 = -2*f, -y*v = 2*f + 4 - 24 for v.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find z such that 14*z**5\/23 + 21514*z**4\/23 - 2806764*z**3\/23 + 14133608*z**2\/23 + 12346000*z\/23 - 4615872\/23 = 0.\nAnswer: -1658, -1, 2\/7, 6, 116","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 4 minus -0.160925?\nAnswer: 4.160925","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let u(t) be the third derivative of t**5\/20 - 13*t**4\/4 + 14*t**2 - 112. Solve u(c) = 0 for c.\nAnswer: 0, 26","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(j) = -j**3 + 4*j**2 + 4*j + 2. What is a(5)?\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -194 + 7356*g + 9*g**2 + 8*g**2 - 26*g**2 - 7351*g + g**2.\nAnswer: -8*g**2 + 5*g - 194","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let d(m) = 2*m**3 - 4*m**2 - 5*m - 3. What is d(-2)?\nAnswer: -25","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((4*h - 5*h + 3*h)*(5 - 4 - 3) + h + h - 4*h)*(-226 + 226 + 14*h**3).\nAnswer: -84*h**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 2477 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*j = -5*p + 13, -77*j - 32*j = -128*j + 4*p - 42 for j.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 71\/7 in 2\/119, 8, -7\/3, 4?\nAnswer: 8","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth smallest value? (a) 0.1 (b) -5 (c) -41 (d) -0.2 (e) 3\/8\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*k + 16 = -4*i, -k + i = -1 + 5. Let x be (-43 - 1)\/k - 2. Solve 21 = -3*w + 3*z, -2*z - x = -w - 5*z for w.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 231\/198*(-24)\/(-2)?\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 13*y - 10 = -49 for y.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 3.8773 - -0.03489899.\nAnswer: 3.91219899","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 38701, 38685, 38669?\nAnswer: 38653","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*a**3\/5 - 16*a**2\/5 - 18*a\/5 + 36\/5 = 0. What is a?\nAnswer: -6, -3, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((s**(-3)\/s**(1\/17))\/(s\/s**(2\/17))**(-18))**(-30\/7) assuming s is positive.\nAnswer: s**(-6540\/119)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let x(h) = 183*h**3 - 5*h**2 + 9*h + 106. Let n(k) = 91*k**3 - 3*k**2 + 5*k + 53. Let w(y) = 5*n(y) - 3*x(y). Differentiate w(s) wrt s.\nAnswer: -282*s**2 - 2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 15*v = 9*v + 6. Let z = 10 + 51. Suppose 4 = -3*d + z. Solve -d - v = -4*m for m.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -225 + 229.24. Let x = 0.24 - w. What is the closest to 2\/5 in x, 1, 1\/5?\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from hsheeehzhshezhehhehh. What is prob of sequence zhh?\nAnswer: 1\/38","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Expand -h**5 - h**5 - h**5 + (-h**2 + 4*h**2 - 4*h**2)*(-7 + 3*h**3 + 7) + 0*h**5 - 4*h**5 + 3*h**5.\nAnswer: -7*h**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Express 180 + 70*w**2 - 132 + 146 - 30*w**2 - w - 36*w**2 in the form h*w**2 + a + u*w and give h.\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 4386349.\nAnswer: 11, 398759","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Round -26055.4 to the nearest 1000.\nAnswer: -26000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Express -1161*p - 191*p + 727*p - 721*p in the form h*p + u and give h.\nAnswer: -1346","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Express 0*a**2 + 4*a - a**2 + 29*a**4 + 18*a**4 - 3*a**3 - 2 - 46*a**4 in the form q*a**3 + z*a + p*a**4 + c*a**2 + n and give q.\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -5\/6 + 7\/3. Let q = -5\/7 + 2\/7. What is the closest to 2\/3 in q, -0.1, h?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (b\/b**(-6)*b*b)\/(b*b**6)*(b\/(b\/(b\/(b*b**(1\/3)*b))))**(2\/59) assuming b is positive.\nAnswer: b**(346\/177)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let f(n) = n**3 - n**2 + n - 2. Let z(s) = 7*s**3 + 14*s**2 + 4*s - 1. Let a(u) = -5*f(u) + z(u). Is a(16) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -19296949 rounded to the nearest 1000000?\nAnswer: -19000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Round -1.1930901 to three dps.\nAnswer: -1.193","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 1520 to the nearest integer?\nAnswer: 39","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*x = -0*x - 26. What is the third derivative of 13*k**3 - 6*k**3 - 1 + x*k**2 + 1 wrt k?\nAnswer: 42","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of -14, 30, 148, 376, 750, 1306, 2080, 3108?\n\"Answer: 6*t**3 + t**2 - t - 20","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let n(l) = 2*l - 2. Let c be n(3). Suppose -y - c = y. Calculate the common denominator of -79\/10 and 3429\/(-90) - y\/(-5).\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:18 AM and 10:29 AM?\nAnswer: 191","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 106588?\nAnswer: 2, 26647","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*u + 26 = -64. Does 10 divide u?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -3.45 + 185.45. Let t = 177 - i. Which is the nearest to -1? (a) t (b) 2\/5 (c) 5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -134 - -134. Solve -4*s + 20 = -d*s for s.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 631.46 + -49.05. Let i = 560 - b. Let g = i + 22. What is g rounded to 1 decimal place?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is -88a + 24?\nAnswer: -866","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*y - 3 = -2*q + q, -3*q = 2*y - 17. Let l(g) = 3*g**2 - g. Let f be l(y). Suppose -f*k + 8 = -k. What is the units digit of k?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express o**4 - 1 + 3357*o + 4*o**3 - 5*o**2 + 25*o**2 - 2*o**4 - 3357*o as w + n*o + i*o**2 + v*o**3 + j*o**4 and give j.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let n(s) = -50*s**2 - 13397*s + 740. Determine n(-268).\nAnswer: -64","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 1472 and 3065808?\nAnswer: 368","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 12 - 10. Suppose 0 = -j*c - 2*c + 80. What is the tens digit of c\/50*(70 - 0)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 1\/2? (a) -2\/3 (b) 10 (c) 1 (d) -0.76 (e) 27.5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify h**(-1\/16)\/(h\/h**24*h) assuming h is positive.\nAnswer: h**(351\/16)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let g(q) = -4*q + 32. Give g(8).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let r be 7\/(-3) + -3 + (-24)\/(-4). Which is the third smallest value? (a) 2\/13 (b) -1 (c) r\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 10561, 21228, 31895, 42562?\nAnswer: 53229","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7*v + 9 = -4*v. Suppose v*b + 4 = 13. Find the third derivative of 3*p**4 - 25*p**b + 25*p**3 + 4*p**2 wrt p.\nAnswer: 72*p","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(t) = t. Let n(p) = 3*p - 4. Let h(y) = -n(y) + 2*w(y). Let d(q) = -6*q + 5. Let v(m) = -m. Let s(i) = -d(i) + 5*v(i). Give 5*h(z) + 4*s(z).\nAnswer: -z","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 966427?\nAnswer: 7, 11, 163","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -972, -969, -984, -1035, -1140?\nAnswer: -1317","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Sort 7, 0, 9, 176204 in descending order.\nAnswer: 176204, 9, 7, 0","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 64\/(-36)*3\/4?\nAnswer: -4\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: -342728 (base 9) to base 4\nAnswer: -302022002","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -720 = -7*u - 2*u. Let g = -9523\/8 + 1183. Find the common denominator of 3 - (932\/u + -4) and g.\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 14 - 9. Suppose 4 + r = 3*u. Solve 0 = -w + 1 - u for w.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(l) = 24*l + 158. Let b(v) = -5*v - 32. Let r(q) = -11*b(q) - 2*w(q). What is r(-6)?\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:50 AM and 3:59 PM?\nAnswer: 549","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = p + 3*w - 19, -p = p + w - 13. Suppose 4*m = -0*m + p*v - 840, 3*v = 2*m + 418. Let h = m + 323. Is h a multiple of 37?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 5*o**2*z**3 - o**2*z**2 - 97*o**2 + 18*z**3 + z wrt z.\nAnswer: 30*o**2*z - 2*o**2 + 108*z","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 226 - 889. Let c = i - -1210. Suppose -c - 1355 = -3*p. Is p prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (4735\/(-10) - -5)*-2. Let z = o + -603. What is the tens digit of z?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -23608, -756, 0 in descending order.\nAnswer: 0, -756, -23608","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let g(r) = 18*r**2 - 4*r - 3. Is 5 a factor of g(-1)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 1890 and 70?\nAnswer: 70","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -7 - 4. Let v = -2 - c. What is the highest common factor of v and 9?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(p) = p**2 - 10*p + 10. Let g be f(8). Let k(u) = u**3 + 7*u**2 + 7*u + 6. Let n be k(g). Let c(a) = a**3 + a + 8. Calculate c(n).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 458951?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -0.1 + 0.03. Let b = 278139 - 278139.6. What is the third smallest value in -0.3, o, b, 0.4?\nAnswer: o","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -30 = 7*i - 93 for i.\nAnswer: 9","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -49\/3228 and -59\/4?\nAnswer: 3228","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 1 (base 3) in base 15?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 0.09777 and 1.89?\nAnswer: 0.1847853","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0.3 in -5\/3, -3, -21, 3?\nAnswer: -5\/3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let r(g) = -g**3 - 4*g**2 - 5*g - 6. Let z be r(-4). What is the first derivative of -3*l - 12 + z + l wrt l?\nAnswer: -2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(n) = 1737*n**2 - 297. Let l(j) = 2*j. Calculate s(l(o)).\nAnswer: 6948*o**2 - 297","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -13*f**4 - 456*f**3 + f**2 - 2893596*f + 1?\nAnswer: -156*f**2 - 2736*f + 2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 69665812 is divided by 1447.\nAnswer: 1444","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -9 + 11. Let p(u) = 0*u**2 - 3*u**2 + 0*u**x + 4*u**2. Let n(b) = 6*b**2. Determine p(n(y)).\nAnswer: 36*y**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is 6016055 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (2\/(-3))\/((-1)\/((-6)\/18))?\nAnswer: -2\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -121*s**2 - 35*s**2 + 43*s**2 - 1.\nAnswer: -113*s**2 - 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 265 minutes after 7:55 PM?\nAnswer: 12:20 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -v + 5*v. Suppose -4*o - 5*l = 13605, v = 4*o + 2*l - l + 13601. Round o to the nearest 1000.\nAnswer: -3000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(s) = -1. Let c(d) = -2*d - 10. Let l(t) = -20*b(t) + 2*c(t). Let i(m) = m**2 - m - 1. Let w(v) = 3*v + 3. Let o(g) = -3*i(g) - w(g). Calculate o(l(f)).\nAnswer: -48*f**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let t(q) = -q**3 - 7*q**2 - 6*q + 3. Let h be t(-6). Let r = 25 + 8. Calculate the highest common factor of h and r.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -6, -16, -40, -84, -154, -256, -396, -580?\nAnswer: -814","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 5847 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 19 and 5233721?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:49 AM and 5:49 AM?\nAnswer: 240","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 115125 and 5410875.\nAnswer: 5410875","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -1 = u - 2. Let g(j) be the third derivative of j**5\/60 - j**4\/12 + j**3\/6 - j**2. Let n be g(4). What is the highest common divisor of u and n?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 33\/1256 and -61\/2?\nAnswer: 1256","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -24, -15, 30, 111, 228, 381?\nAnswer: 570","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is -43280 (base 9) in base 14?\nAnswer: -a637","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Convert d8 (base 14) to base 6.\nAnswer: 514","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (30\/(-24))\/((-4672)\/22). Let w = -1\/128 - p. Which is smaller: w or 1?\nAnswer: w","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {u: 7, k: 3}. Give prob of sequence ku.\nAnswer: 7\/30","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:30 AM and 9:02 PM?\nAnswer: 692","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0*b**2 - 6*b**2 + 5*b**2)*(-4 + 2 + 3) + 4 - 4 + 3*b**2 - 9 + 9 - 3*b**2.\nAnswer: -b**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve -o + 2 = -3*o for o.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 377, 374, 369, 362, 353, 342, 329?\nAnswer: 314","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let n(r) be the first derivative of r**2 + 40. Let h(g) be the first derivative of 2 + 0*g - 2\/3*g**3 + 0*g**2. What is h(n(a))?\nAnswer: -8*a**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 44 and 396.\nAnswer: 396","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Convert 6 (base 16) to base 2.\nAnswer: 110","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 95 - 34. Let t = o + -49. What is the remainder when 34 is divided by t?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many milliseconds are there in thirteen quarters of a second?\nAnswer: 3250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 648\/(-180) + -1 + -2 + 5.\nAnswer: -8\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(k) = 11*k + 18. Let r be n(2). Determine j so that -248 - r - 240*j - 5*j**2 + 288*j + 3*j**2 = 0.\nAnswer: 12","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -155*l**2 - l + 409 with respect to l.\nAnswer: -310*l - 1","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) 1 (b) -1\/7 (c) -2\/3 (d) -1\/4 (e) -450\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of 28839, 29420, 30001, 30582, 31163?\n\"Answer: 581*y + 28258","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.039 + -0.13?\nAnswer: -0.169","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 8815325 to the power of 1\/7, to the nearest integer?\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 2 + 1. Let z(d) = -d**2 + 5*d - 1. Let c be z(g). Suppose -2*h - c*a = -3*a - 190, 0 = -5*h - 4*a + 475. Is h prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(l) = 327021*l + 2943266. Determine m(-9).\nAnswer: 77","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Divide 73170 by 6.\nAnswer: 12195","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let r(t) be the first derivative of t**2\/2 + 7*t - 1. Let s be r(-6). Let m(f) = s + 2 - 3 + 2*f. Give m(2).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -177 by -2202805.\nAnswer: 177\/2202805","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence qjq when three letters picked without replacement from {j: 4, l: 1, q: 9}.\nAnswer: 12\/91","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 7150 to the nearest integer?\nAnswer: 85","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -13.376445 + -1.9.\nAnswer: -15.276445","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (-60)\/6*(2 + -3). Let g(t) = -t**3 + 9*t**2 + 11*t - 5. What is g(f)?\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 64511 (base 8) to base 4.\nAnswer: 12211021","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let h(o) = o**3 + 6*o**2 - 5*o - 7. Let u be h(-6). Suppose -4*b + 9 = b + 3*a, 5*b - 4*a - u = 0. Let m = 1 + b. Solve -8 = m*n - 0 for n.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 6*h**5 + 37837*h**3 - 19664*h**2 - 4*h + 2?\nAnswer: 360*h**2 + 227022","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Convert -73a0 (base 14) to base 10.\nAnswer: -19936","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (t**(-4)\/t**(-8))\/(((t\/((t**(4\/5)*t*t)\/t)*t)\/t)\/t**(-7\/2))*(t**(3\/2)*t*t*t\/t**(3\/4)*t)\/((t*t*t**(-3))\/(t**(-1)*t)) assuming t is positive.\nAnswer: t**(141\/20)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 104131103 (base 5) in base 4?\nAnswer: 1233320212","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is -1 + ((-24639)\/(-12) - 1)\/(69\/276) a multiple of 16?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -30 - 1 - (855 - 878).\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 53 - 36. What is the remainder when i is divided by (12 + (-7 - -4))\/(4\/4)?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 8612*i - 18733 wrt i.\nAnswer: 8612","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let m(o) = -4*o - 3. Let x(b) = b + 1. Let t(h) = h**3 + 7*h**2 - 7*h + 12. Let a be t(-8). Let z be 1\/(-4) + 5\/a. What is z*m(u) + 5*x(u)?\nAnswer: u + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let d(t) = t**3 + 6*t**2 - 8*t - 4. Let m be d(-7). Suppose 4*y + m*c = 47, -31 + 2 = -3*y - c. Let p be (-2 + -2)*18\/(-8). Which is smaller: y or p?\nAnswer: y","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 14732 and 762?\nAnswer: 254","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Does 163 divide 9780\/36*(0 - -15)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -72\/401 or 1?\nAnswer: -72\/401","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 1 - 0. Let t = 5.5 - -2.5. Let m = t + -4. Which is the biggest value? (a) m (b) -5 (c) d\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 2748301 + -3874301. What is i rounded to the nearest one hundred thousand?\nAnswer: -1100000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 6*i + 17*i = -5*i + 28 for i.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 15, 10, -5, -36, -89, -170, -285?\nAnswer: -440","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of 3311, 3312, 3313?\n\"Answer: f + 3310","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 319774594 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -b + 6000 = 5*w + 288, 2*b - 3*w - 11489 = 0. What is the units digit of b?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 13478 and 138.\nAnswer: 46","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -730865*n**2 - 7233*n + 27.\nAnswer: -1461730","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of 616, 1236, 1856, 2476, 3096, 3716?\n\"Answer: 620*r - 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of -228, -319, -410, -501, -592?\n\"Answer: -91*i - 137","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*a + 4*q = 172, -6*q - 192 = -3*a + 4*a + 4*a for a.\nAnswer: -36","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-j**2 - 2*j**3 + j**2)*(-597*j**2 - 1598964 + 1598964).\nAnswer: 1194*j**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 3039 + -1476. Suppose 2*b + 2*v + 3*v - o = 0, 5*b = -2*v + 3960. Is b composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*v**4\/11 + 8128*v**3\/11 + 1174498*v**2\/11 + 1166372*v\/11 = 0.\nAnswer: -3914, -149, -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-341 - 320 + 81)*(3 - 5 - 1)*(4*s + s - 7*s) to the form t + z*s and give z.\nAnswer: -3480","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.011678265916 rounded to 3 decimal places?\nAnswer: 0.012","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2\/5, -1, -3\/4, 0.01 in decreasing order.\nAnswer: 2\/5, 0.01, -3\/4, -1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 572 and 247?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6 = 3*a - 0. Let k be 5 + -1 + -6 + 2 + 3. Solve -g - k = a for g.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*h - 2*h = 16. Let l = h - -12. Suppose 128 = l*i - 8. Is i a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*x - 2 + 17 = 0. Suppose g + 68 = x*g. What are the prime factors of g?\nAnswer: 2, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i be ((-4)\/2)\/((-4)\/10). Let a(l) = -l**2 + 2*l + 2. Let z(m) = 3*m**2 - 5*m - 5. Let j(o) = i*a(o) + 2*z(o). Determine w, given that j(w) = 0.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 27\/2 of a second in milliseconds?\nAnswer: 13500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*m = -24*g + 3*g - 63, 2890*g + m - 3 = 2891*g for g.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve -t - 8*t = -18 for t.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -0.38 - 1.62. Let u = -0.775 - -0.875. What is the third biggest value in 10, -0.3, u, d?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(y) = -3*y - 6. Let g be t(-8). Let s be (-600)\/g*(-114)\/(-4). What is s rounded to the nearest 100?\nAnswer: -1000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -6 in 294, 3\/4, -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*d - 9*k + 390 = -4*k, -483 = 5*d - 4*k. Is -145 smaller than d?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(w) = -2*w**2. Suppose 5*a + 8 = 9*a. Let j(k) = 0*k**2 + 2*k**a - 8 + 8. Calculate j(h(c)).\nAnswer: 8*c**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let k(l) = -l**3 + 19*l**2 + 11*l + 12. Let y be k(19). Let i = y - 219. Let q = 0 + 2. Solve q*u + 4 = -i for u.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 407 to the power of 1\/6, to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 1 + ((sqrt(44) + sqrt(44)*-2 + 2)**2 + sqrt(44) + -1 + sqrt(3564))*-4.\nAnswer: -187 - 48*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let r(i) = -4*i - 31. Let d(y) = 5*y + 2. Determine r(d(m)).\nAnswer: -20*m - 39","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let d(p) = p**3 + 8*p**2 - 8*p + 4. Let k be d(-9). Let f(i) = 11*i**2 - 5*i + 2. Is f(k) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 10 and 2755?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is 45361 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: 5 + (-1 - 0 - 3)\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let j(f) = 10*f**3 - 50*f**2 - 97*f - 50. Determine j(-1).\nAnswer: -13","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: How many nanograms are there in one twentieth of a microgram?\nAnswer: 50","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 i and 1 n when three letters picked without replacement from {i: 2, n: 2}?\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let l(x) = 3*x**2 + 2*x + 1. Let p be l(-1). Let y be ((-3)\/2)\/((-78)\/104). What is the third derivative of u**y + 3*u**p - 21*u**2 - 44*u**5 wrt u?\nAnswer: -2640*u**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -15471 divided by 81?\nAnswer: -191","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 11261 - 2556258\/227. Calculate the common denominator of b and 20\/3.\nAnswer: 681","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: -31 - 1\nAnswer: -32","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is -2011 + -1024303?\nAnswer: -1031314","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Do 794 and 3175\/4 have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7*c - 2600 = -18*c. What is the tens digit of c?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (11*(-60)\/(-220))\/((-4)\/((-44)\/(-3))).\nAnswer: -11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 146*p**2 - 323*p**2 + 3*p - 3*p.\nAnswer: -177*p**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let s(c) = c + 4. Let q(j) = 3. Let i(l) = -4*q(l) + 3*s(l). Suppose -4*t + 15 = -5*g, 0*g - 12 = -4*t + 4*g. Suppose t = 34*v - 32*v - 6. Determine i(v).\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(s) = 1662*s - 124. Let j be d(7). What is j rounded to the nearest one hundred?\nAnswer: 11500","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(q) = q**2 - 11*q - 342. Let d be i(-14). What is the greatest common divisor of d and 3862?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:00 PM and 4:43 AM?\nAnswer: 583","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -11*o**2 + 77*o**3 + 1 - 16*o + 68*o**3 - 214*o**3 + 71*o**3 to the form a*o**2 + u*o + z + y*o**3 and give u.\nAnswer: -16","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:28 PM and 1:10 AM?\nAnswer: 582","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0.7156400735 + -242.\nAnswer: -241.2843599265","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -75 + 115. Let v(q) = -75 + 15*q**2 + n + 39. Is 10 a factor of v(-2)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 319771150 to the nearest 1000000.\nAnswer: 320000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let z be ((-12)\/8)\/(6\/16). Let l(a) = -2*a - 5. Let b be l(z). What is the first derivative of 4 - 1 - b*t**2 + 4 - 4 wrt t?\nAnswer: -6*t","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 169944 divided by 84972?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let l(r) = -69*r - 16. Calculate the remainder when l(-14) is divided by 56.\nAnswer: 54","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-3222)\/179 - (-456)\/27.\nAnswer: -10\/9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 2509963?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -0.03 + 0.07. What is c rounded to two decimal places?\nAnswer: 0.04","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 5*p - 7*p + 4. Find the first derivative of -2*d**3 - 2 - d**3 + 0*d**p + 0*d**2 wrt d.\nAnswer: -9*d**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -3*h**5 - 28*h**3 + 420*h.\nAnswer: -60*h**3 - 168*h","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 2*d**3*y**2 + 139*d**3 - 14459*d**2*y**3 - 832*y**3 + 181593*y wrt y.\nAnswer: 4*d**3 - 86754*d**2*y - 4992*y","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: 32 + -32 + -4 + 7 - (34 + -3)\nAnswer: -28","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Work out 40 + 0.12.\nAnswer: 40.12","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is fifty-one halves of a gram in milligrams?\nAnswer: 25500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 20.55 + -21. Let x = r - -21.45. Let u = -12 + x. Which is the smallest value? (a) -2 (b) -1\/5 (c) u\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 172 and 5936.\nAnswer: 255248","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let x(h) = h**3 + 126*h**2 + 3572*h + 247. Determine x(-83).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*r - 5*r + 20 = -4*l, -r = 4*l - 4. Suppose 0*i - u = i - 8, r*i - 5*u - 32 = 0. Suppose 0 = -4*o + i*o - 28. Sort -4, -1, o.\nAnswer: -4, -1, o","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: -0.04421 times -2.932\nAnswer: 0.12962372","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -41 + 38. Sort z, -0.3, 5, 3\/4 in decreasing order.\nAnswer: 5, 3\/4, -0.3, z","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 b and 1 x when two letters picked without replacement from bbxoyxyoxyxxyxb.\nAnswer: 6\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let l be 28\/21*6\/4. Let b(w) = -w**3 + 9*w**2 - 13*w - 5. Let r be b(7). Let x(z) = -z**l + 3*z**2 + 0*z**r - 3*z**2. Let f(g) = -4*g**2. Give x(f(y)).\nAnswer: -16*y**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let n(d) = 2*d**2 - 2*d + 2. Let w(f) = f - 1. Suppose 2*k - 27 = -k. Suppose 0 = 4*x + k - 1. Let m(i) = x*w(i) - n(i). Factor m(r).\nAnswer: -2*r**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: 1034054 (base 6) to base 16\nAnswer: c8f2","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 1 = -5*l + 3*j + 7, 5*l = 4*j + 8. Suppose -15*p + 19*p - 8 = l. Suppose 2*a + 13 = -6*v + v, v = 3*a - 23. Which is greater: p or a?\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 480 minutes before 9:00 PM?\nAnswer: 1:00 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is 19392 > 19392?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Put -5, 1, -4 in decreasing order.\nAnswer: 1, -4, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 9 + -8. Let c be (0 - -1)*(92 - q). Suppose -3*d = 3*p + 2*p - c, 3*p = 15. 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: Find the common denominator of -30\/77 and 125\/1596.\nAnswer: 17556","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: -4414545 (base 6) to base 2\nAnswer: -110101101111000001","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let v(w) = -w**3 - 3*w**2 - 4*w - 7. Let z be 4*2\/(-10)*-40. Let r = 29 - z. Let l be v(r). Calculate the highest common divisor of l and 25.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (22\/(-18) - 24\/(-108))*-7. Suppose -5*n + 2*m - a*m = -30, 3*n - 13 = 2*m. Suppose -n*u + 3191 = 856. Is u a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (-4)\/10 - 9\/(180\/(-88)). Suppose 86 = 2*m - v*m. Let w = -34 - m. What is the units digit of w?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_test"},"subset":"dm_maths"} +{"text":"Question: Let s(f) = -6*f + 7. Let v(u) = -934*u - 9*u**2 + 5*u**2 + 934*u. Determine s(v(n)).\nAnswer: 24*n**2 + 7","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -38.79 - 547.41. Let m = 586 + t. Which is the closest to -2.3? (a) -4 (b) m (c) 2 (d) -0.4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1087 is divided by 17.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Put 177446, 4, -5, -1 in decreasing order.\nAnswer: 177446, 4, -1, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Find l, given that -2*l**5\/13 + 500*l**4\/13 - 35188*l**3\/13 + 586744*l**2\/13 - 1069914*l\/13 + 517860\/13 = 0.\nAnswer: 1, 21, 90, 137","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve -8*q = 158*u - 153*u + 39, -3*u - q - 12 = 0 for u.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*b + 8, -5*o + 9823 + 7445 = -2*b. Let q = -2311 + o. Is q a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 106 a factor of (665\/(-49) + 21\/(-49))*-53?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(j) be the second derivative of 2*j**3\/3 + 2*j. Let f(h) = 6*h + 3. Let i(q) = -12*q - 5. Let y(m) = -5*f(m) - 3*i(m). Give g(y(l)).\nAnswer: 24*l","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 8*s + 0*s + 3030 - 2997 - 2*s to the form c*s + x and give c.\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let m be 72\/21 - (-8)\/14. Suppose -115 = -4*j - 5*l, 4*j - m*l = -6*l + 130. What is the units digit of j?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -1 or 37\/83?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*g - 2*y = 7*g + y - 12, 28*y - 29*y = 0 for g.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence bj when two letters picked without replacement from {o: 2, b: 6, j: 1, m: 4}.\nAnswer: 1\/26","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (o\/(o**23\/o))\/(o*o*o*o**(-23))*o**(-11\/3)\/o*o**19 assuming o is positive.\nAnswer: o**(40\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 17665 + -17665.5. What is the closest to -0.3 in -1, 0.3, 2\/9, r?\nAnswer: r","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -26 - -26. Let h be (a - -6)\/(81\/18 + -3). Solve -2 = b, -h*o = -b - 13 - 1 for o.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -8 = 9*z - 5*z for z.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let x be ((-10)\/8)\/((-1)\/4). Suppose -h = -t + 75, -3*t = t + x*h - 327. Calculate the remainder when t is divided by 906\/45 + 4\/120*-4.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose i - 9 = 2*k, 5*k - 2*k = 3*i - 15. Let f(t) = t**2 + 1. Let y(b) = -5*b**2 - 6*b - 7. Let z(n) = i*y(n) + 4*f(n). Let w = -39 + 34. Calculate z(w).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -0.2? (a) -58 (b) 0.4 (c) -0.4 (d) 4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 5639 + 5635 + 5635 - 16909 - 3805*g to the form m + f*g and give m.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 680 and 56.\nAnswer: 4760","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-7)\/(-1547))\/(26\/338).\nAnswer: 1\/17","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 9*n = 3*r + 12, -n + 12 = -3*r + 3*n for r.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -7351, -7364, -7379, -7396, -7415?\nAnswer: -7436","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 1083*u*x**4 + 1581*u wrt x.\nAnswer: 4332*u*x**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (-1 - 1) + -4 + 5. Let m = 85 + -85. Suppose -12*u - 5*u - 102 = m. Let o(h) = -h**3 - 1. Let c(n) = 3*n**3 + 7. Determine d*c(v) + u*o(v).\nAnswer: 3*v**3 - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 2872377?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: 0.054*-1922.7\nAnswer: -103.8258","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Find j, given that -4*j**5\/7 - 458*j**4\/7 - 678*j**3\/7 + 2*j**2\/7 + 226*j\/7 = 0.\nAnswer: -113, -1, 0, 1\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 l and 1 v when three letters picked without replacement from {i: 1, x: 11, v: 2, l: 2}.\nAnswer: 1\/280","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*y - 16678 = 77202. Let g = -16224 - y. What is g rounded to the nearest ten thousand?\nAnswer: -40000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -468*p - 1 - 462*p + 1 + 1 + 895*p to j*p + k and give k.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -1336*j - 1262.\nAnswer: -1336","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (0 + (-4 - (-646)\/161))\/((-14)\/(-98)). Which is the closest to -5\/9? (a) f (b) 3 (c) -0.3 (d) 0\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is -299 + -1718?\nAnswer: -1a06","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 27*j - 2175 + 1392. What is the highest common divisor of 2581 and j?\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (q\/q**(2\/9))**(-3\/5)\/(q*q*q**(-5)*q)**(-31) assuming q is positive.\nAnswer: q**(-937\/15)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is 2273454204 a multiple of 172?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 4089803 to the power of 1\/3, to the nearest integer?\nAnswer: 160","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let l(c) = 2*c**2 - 4*c - 5. What is the remainder when l(4) is divided by 3?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -0.1? (a) 1194 (b) 18 (c) 3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let k(s) = 3*s - 15. Let d be k(8). Let f(l) = 57*l + 8. Is f(d) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many seconds are there in 0.5969403 weeks?\nAnswer: 361029.49344","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Convert 3 (base 8) to base 14.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -305\/2 + 2117\/14. What is the third biggest value in 1\/7, 5, 0.1, j?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -1 by -12.\nAnswer: 1\/12","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 7 - 7. Suppose 2*z + 0 = 4*i - 2, -3*z + 2*i = -13. Suppose 5*w - 2*l + z*l = k, -6 = 3*w + 5*l. Solve -3*s - w*m = 3 - 9, -19 = -2*s - 5*m for s.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is 113 - -20?\nAnswer: 133","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 402\/(-871) - (-85968)\/210600?\nAnswer: -4\/75","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is -2413 (base 5) in base 7?\nAnswer: -1021","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (3\/(-108))\/((-41)\/984).\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Convert 203232 (base 5) to base 9.\nAnswer: 10155","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let b(q) = -5*q + 733. Let v(d) = -4*d + 735. Determine -3*b(u) + 4*v(u).\nAnswer: -u + 741","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Sort 66585, -0.02, -17.3 in descending order.\nAnswer: 66585, -0.02, -17.3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {i: 2, n: 1, g: 1, p: 2, y: 1, c: 1}. Give prob of picking 1 c and 1 y.\nAnswer: 1\/28","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 28 + -27.41. Let i = 0.01 + l. Which is smaller: 1\/2 or i?\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(n) be the second derivative of 5*n**4\/12 + n**3\/6 - n**2\/2 + 53*n. Calculate t(1).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 5 + sqrt(11) + (sqrt(176) - sqrt(11)) + -5 + -2 - (sqrt(176) + 0 + -6*sqrt(11)*1)**2*-3.\nAnswer: 4*sqrt(11) + 130","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 9*l**2 + 4*l**2 - 2*l**2 + l**2 to q*l**2 + r + b*l and give b.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let g(i) = -i**2 + 2*i. Let n be g(-2). Let h = -13 - -27. Let l = h + n. Is l composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(q) = 369*q - 30289. What is w(95)?\nAnswer: 4766","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Product of -12.0916 and 1.9.\nAnswer: -22.97404","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is -53755 - 11?\nAnswer: -53766","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the ninth root of 48583254 to the nearest integer?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve -49*x + 406*x - 2856 = 0 for x.\nAnswer: 8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) -1\/3 (b) 11\/749 (c) 1\/9\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-3224)\/(-78))\/((-27)\/(891\/22)).\nAnswer: -62","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (11 - (-1 + 2)) + -5 - 2?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 19920 is divided by 866?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (4 + -4*(1 + sqrt(847)) + sqrt(847) + sqrt(847) + sqrt(847) + 5 - (2*(sqrt(847) + 2) - (sqrt(847) + 4*sqrt(847)*3 + sqrt(847))))**2.\nAnswer: 242*sqrt(7) + 102488","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*g - 9 = -2*q + 16, q + 10 = 2*g. Solve 4*i - 16 = g*i + 5*r, 5*i + 8 = -r for i.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 1427 - 1425. Sort -3, d, 0.2, 1\/6, -2.\nAnswer: -3, -2, 1\/6, 0.2, d","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (1\/(-8))\/((543\/(-1629))\/(16\/186))?\nAnswer: 1\/31","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve -81*c - 1837 - 1334 = 3218 - 233 for c.\nAnswer: -76","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 385 minutes before 11:40 PM?\nAnswer: 5:15 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) 2 (b) -7.7 (c) 0.1 (d) -1 (e) 206 (f) 0.2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -732 + 751 + 21 + -6 + 2.\nAnswer: 36","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 0.432 + -0.522. Put -2\/7, y, 6 in increasing order.\nAnswer: -2\/7, y, 6","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(l) = 27*l**2. Give k(-1).\nAnswer: 27","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is -188858c - -1?\nAnswer: -188858b","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 42 = 4*u + 3*f - 37, 2*f - 78 = -4*u. Let y = -1 + 15. Let v = y - 9. Solve u = v*d - 1 for d.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -1? (a) 4 (b) -1\/3 (c) 5 (d) -0.078\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*a = 3*j - 10, -5*a - 32 + 7 = -2*j. Suppose -s + 54 = -j*s. Does 18 divide s?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (2\/(-4))\/((-6)\/60). Let g be -10 - -12 - 380\/(-9). Let f = g + -44. Which is the nearest to f? (a) 0.3 (b) 3 (c) d\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of -33, -58, -97, -156, -241?\n\"Answer: -m**3 - m**2 - 15*m - 16","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*y + 2*p - 327 = -1071, p = 2. Let v = 20556 - 20507. What is the remainder when y is divided by v?\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -0.17, 5, -2\/1977 in decreasing order.\nAnswer: 5, -2\/1977, -0.17","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (d*d**(-6\/7))**(1\/16) assuming d is positive.\nAnswer: d**(1\/112)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -0.03? (a) -8 (b) -11 (c) 30\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 452 and 2825?\nAnswer: 113","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1967*a + 5162 = -1789*a for a.\nAnswer: 29","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -256 - -134. Find the common denominator of -83\/2 and (z\/10)\/((-3)\/5).\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 28 and 1106.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -12 + -4005*(-38)\/1710.\nAnswer: 77","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -40*z + 11 = -41*z for z.\nAnswer: -11","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is 11901395 a multiple of 77?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 6*k + 19 - 13 for k.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is 81333548 a multiple of 44?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is 159661 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -335 - -620. What are the prime factors of w?\nAnswer: 3, 5, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 905*k + 150022 - 62515 = -61*k - 423*k for k.\nAnswer: -63","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Expand (y**2 - 3*y**2 + y**2)*(2 + 3 - 3)*(21 + 2255 + 2420).\nAnswer: -9392*y**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Expand (25 - 37 + 16)*(5*y + y - 5*y) + 0 + 0 + y.\nAnswer: 5*y","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 5882297 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*r + 3*f + 6 = -3, -3*r + 4*f + 26 = 0. Let z be 32\/12 + r\/(-3). What is the third derivative of 3*m**z - 3*m**2 + 2*m**2 - 2*m**3 wrt m?\nAnswer: -12","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((3*sqrt(2736) + -4 - (sqrt(2736) + (-3 + sqrt(2736))*-6)) + -5)*5)**2.\nAnswer: -129600*sqrt(19) + 4395825","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 2008993 is divided by 251082?\nAnswer: 337","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let a(x) = -9*x**2 - 2*x - 14. Suppose -182*w = -500*w + 23 - 977. Determine a(w).\nAnswer: -89","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 9899404\/15807429 - -2\/159671. Calculate the common denominator of p and (4\/135)\/((-1)\/12).\nAnswer: 495","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f be ((-1832)\/(-5))\/(68\/510). What is the highest common factor of 12 and f?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 64\/27 and 97\/6720?\nAnswer: 60480","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {u: 11, t: 2, m: 1}. Give prob of sequence uu.\nAnswer: 55\/91","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*p - 4*w - 30 = 19, 0 = 4*p + 5*w - 86. Let k = p - 14. Suppose -6*f = -7*f + k. Solve -2*q + 4 = -4*s - 2, -4*s + 3 = -f*q for q.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:30 AM and 5:47 AM?\nAnswer: 77","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of -84, -157, -352, -729, -1348, -2269, -3552, -5257?\n\"Answer: -10*l**3 - l**2 - 73","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -5*y + 25, 4*v + 161 - 1435 = -2*y. Suppose 2*i + 42 = n, 4*n - v = -4*i - 100. What is the units digit of n?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -15.017 + 0.317. Let b = 14.5 + f. What is the fourth biggest value in 4, 2\/5, 2\/3, b?\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(k) = k**3 - 9*k**2 + 9*k - 9. Let y be p(8). Calculate the remainder when 42 is divided by -4 + 14 - 1\/y.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 83*u*v**5 - u*v**3 + 72*u*v - 2*v**5 - 2*v wrt v?\nAnswer: 1660*u*v**3 - 6*u*v - 40*v**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 252 and 227556.\nAnswer: 252","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let i(v) = 176*v**3 + v**2 - 1. Suppose s + 5*k + 33 = 9, -3*s - 3*k - 12 = 0. Let o be i(s). What is the highest common divisor of 66 and o?\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 17 a factor of 5134?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Are 56760451\/15 and 3784030 nonequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -69\/22274 and 6.\nAnswer: 22274","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -210*c**3*z - 13*c**3 + c**2*z - 157*c + 13*z wrt z.\nAnswer: -210*c**3 + c**2 + 13","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (1 - -3)*(2 - 1). Suppose y*l - 4 = 8. Suppose -l*w = -8*w + 805. Is w a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 76 = 13*u - 262. Suppose -6*r - 3*s + 532 = -r, 436 = 4*r + 5*s. What is the greatest common divisor of r and u?\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -10973 > -21945\/2?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -0.1511 - -0.161. Round k to 3 dps.\nAnswer: 0.01","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 26 and 1586?\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(300)\/(3*sqrt(5)) - sqrt(60))\/(-6*(sqrt(12) + sqrt(48) + sqrt(12))).\nAnswer: sqrt(5)\/36","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 1996*n**3 + 2013*n**3 - 6020*n**3 + 2009*n**3.\nAnswer: -2*n**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let d(c) = -c**3 + c**2. Let h(y) = -4*y**3 - 2*y**2 + y - 1. Let z(j) = d(j) + h(j). Give z(1).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 62489 is divided by 1108.\nAnswer: 441","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let w(l) be the second derivative of 15*l**4\/4 - l**2\/2 - 3*l. Let q be w(1). Let i be (-6)\/(-33) + 871199992\/q. Round i to the nearest 1000000.\nAnswer: 20000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-15)\/63)\/(-17*(-32)\/1904).\nAnswer: -5\/6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -1 + 4 + -7 + -3?\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 110\/33*(-1)\/2*7\/7?\nAnswer: -5\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(704) - (-2 + sqrt(704)))**2 + sqrt(11) - -6*-3*sqrt(11) - (sqrt(11) + -1 + 5 + (sqrt(1331) - (sqrt(1331) + 0 + sqrt(1331))))**2.\nAnswer: -1112 + 63*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let n(p) = p**3 + 9*p**2 + 12*p + 6. What is n(-8)?\nAnswer: -26","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from qqqxqqqqqqxq. What is prob of sequence qx?\nAnswer: 5\/33","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 9 divided by -15399915.\nAnswer: -3\/5133305","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) -0.01 (b) 4 (c) 5 (d) 0.2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let a(q) = q**3 + 9*q**2 + 8*q + 9. Suppose -3*j = -2*p + 4 + 28, 20 = -2*j + p. List the prime factors of a(j).\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 441341?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let r(y) be the first derivative of -y**3\/12 - y**2 - 7*y\/4 + 26. Suppose r(v) = 0. What is v?\nAnswer: -7, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -46 divided by 154?\nAnswer: -23\/77","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let v be 351\/54 + (-2)\/4. Is 50632\/v*15\/20 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -411 divided by 137.\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 802125 to the power of 1\/3, to the nearest integer?\nAnswer: 93","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*r**2\/7 + 90444132*r\/7 + 180888248\/7 = 0. What is r?\nAnswer: -22611031, -2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Put -2, 12551, 3, 5, 9 in increasing order.\nAnswer: -2, 3, 5, 9, 12551","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is 11231209 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Determine n so that -n**3 - 25*n**2 - 168*n - 144 = 0.\nAnswer: -12, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -30*q + 4 = -32*q, 0 = 2*y + 5*q - 910. What is the tens digit of y?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is 498 + 303?\nAnswer: 801","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 102 and 64209.\nAnswer: 51","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Sort 4, 0.04, -3, -2602, 27, 1 in descending order.\nAnswer: 27, 4, 1, 0.04, -3, -2602","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 217 - 108. Let u = 107 - q. Let h = 5 - 3. Which is greater: u or h?\nAnswer: h","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-4 + (sqrt(684) - (sqrt(684)*2 + -5)) + -3 + sqrt(684) + -4 + 1)**2.\nAnswer: 25","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let h(p) = -5*p**2 + p + 9. Let y be h(4). Let l = -40 - y. Find the second derivative of 29*c**3 + 6*c + c - l*c**3 wrt c.\nAnswer: 12*c","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 15\/223 - -393\/63778. Let h = q + 1\/286. Which is smaller: h or -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*q + 5*s + 4, -2*s + 0*s = -q + 7. Suppose 3*i - 3 = 3, i = q*b - 4. Determine a, given that 2\/5*a**3 + 0 - 2\/5*a**b + 0*a = 0.\nAnswer: 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(d) = -17*d**2 - 9*d + 34. Let n(o) = 322*o**2 + 168*o - 644. Determine -56*l(v) - 3*n(v).\nAnswer: -14*v**2 + 28","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 58421 is divided by 273?\nAnswer: 272","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -15*v = -17*v + 6. Suppose -3*y + 30 = v*u - 12, 2*y - 58 = -5*u. What is the remainder when u is divided by (-1 + -2)\/((-1)\/2)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (g**(-11)*g*g**(4\/13))\/(g*g**(-5))**12 assuming g is positive.\nAnswer: g**(498\/13)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -52445 or -52432?\nAnswer: -52432","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 77 or 74?\nAnswer: 77","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 23431954?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -6698 + 39449. What is the units digit of v?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*l - 396 = -4*o - 55, -o = -l - 74. What is the remainder when 152 is divided by o?\nAnswer: 73","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 230339597 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 2 - -1. Suppose 0 = -k - 5*v + 215 + 61, -d*v = 3*k - 828. Suppose 2*q + 78 - k = 0. Calculate the highest common divisor of q and 11.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 62438 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 j and 1 u when two letters picked without replacement from {j: 2, f: 3, u: 5}?\nAnswer: 2\/9","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 391 is divided by 14?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (-4)\/(-14) - (-5852)\/98. Suppose 2*f + f + 30 = 0. Let h = f + 25. Calculate the greatest common divisor of h and s.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(z) = z**3 - 1. Suppose 11*v = 15*v - 12. Suppose 8 = 5*j + v*j. What is s(j)?\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(i) = -i**2 + 11*i + 2. Let t be n(8). Find the third derivative of 4*d**5 + 20*d**5 + 12*d**2 + 19*d**2 - 33*d**2 + d**4 - t wrt d.\nAnswer: 1440*d**2 + 24*d","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 3 (base 7) in base 12?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 867.\nAnswer: 3, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 3.7 + -0.7. Suppose x - 2*y - 9 = -0*x, -4*x + 11 = -3*y. Let q = 0.343 - -3.657. Which is the second biggest value? (a) q (b) x (c) n\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 2960*q**4 - 734*q**3 - 2*q + 6545601?\nAnswer: 35520*q**2 - 4404*q","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (r**3\/r*r*r)**(-33)*(r**4*r)\/r*r\/(r*r**0*r) assuming r is positive.\nAnswer: r**(-129)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let b(r) = -280*r. Let x(c) = -28*c - 4. Calculate x(b(p)).\nAnswer: 7840*p - 4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Does 65 divide 817895?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ef when two letters picked without replacement from vfvyvyvfe?\nAnswer: 1\/36","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 2742 and 10968?\nAnswer: 10968","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*q**5 - 18984*q**4\/5 - 7596*q**3\/5 = 0.\nAnswer: -2\/5, 0, 1266","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-138 - -129) + (-3 - -30).\nAnswer: 18","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*v - u + 1, -4*v - 5*u = -5*v + 17. Suppose -2*q - n + 77 = v*n, q + 2*n - 39 = 0. What is the remainder when q is divided by 19?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*l - 4*b - 2 = 0, -144*b + 6 = -6*l - 146*b for l.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let o(c) = -11*c**3 + c. Let h be o(1). Let j = 288 - 268. Let s = h + j. What is the greatest common divisor of s and 40?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 570 minutes before 11:53 AM?\nAnswer: 2:23 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -14*s**2 + 100 - s**3 - 26*s**2 + 40*s**2.\nAnswer: -s**3 + 100","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -1? (a) -0.3 (b) 1\/3 (c) -4 (d) -3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 28*k**3 + 2 + 4*k**2 + 46*k - 30*k**3 - 4*k**2 to t + j*k + d*k**2 + h*k**3 and give j.\nAnswer: 46","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (6 + -5 - 3)*((-3)\/6 - 1). Let m be 7\/28 - (-163)\/(-620). Which is the third biggest value? (a) m (b) j (c) -2\/7\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is -6233 - -2?\nAnswer: -6231","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 111146 and 119085.\nAnswer: 1667190","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) 0.4 (b) 16 (c) 0\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from ggzddzddgddzzzddz. What is prob of sequence ggz?\nAnswer: 3\/340","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*g + 2*d - 6 = -5*g, 9 = -4*g + 3*d. Let p = 3633.4 + -3633.7. What is the nearest to g in p, 2\/5, 0.7?\nAnswer: p","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 25710, 25724, 25742, 25764, 25790, 25820, 25854?\nAnswer: 25892","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 260032 is divided by 19?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 3\/31 + 16\/155. Which is the third smallest value? (a) -5\/6 (b) 0 (c) 1 (d) f\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 4 - (1 + -3 + -1 + 23).\nAnswer: -16","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let w be -2 + ((0 - 1)*361 - -1). Let q = w - -669. Is q a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 1.8 + 0.2. What is the second biggest value in 3, 0.2, k?\nAnswer: k","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 31307 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is -49 less than 17388?\nAnswer: 17437","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is 15101 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6 - 3 = -3*x. What is the units digit of x?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from wuuapwucauuuwcuuau. What is prob of sequence awap?\nAnswer: 1\/4080","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -4172 + 4171. What is the nearest to -0.1 in 4, 5, w?\nAnswer: w","meta":{"dup_signals":{},"source":"comparison__closest_composed_test"},"subset":"dm_maths"} +{"text":"Question: What is -550 minus -107.355?\nAnswer: -442.645","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let m(h) = -7*h**2 - 9*h - 13. Let v(c) = -8*c**2 - c + 1. Let u(a) = -2*a**2 - a - 1. Let r(x) = 6*u(x) - v(x). Calculate -6*m(o) + 11*r(o).\nAnswer: -2*o**2 - o + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 965774241?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (x\/(x**3*x)*x*x**(-1))\/(x**7*x**(2\/3)) assuming x is positive.\nAnswer: x**(-32\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let q(n) = 3*n**2 + 13*n - 52. Let j(p) = -8*p**2 - 40*p + 157. Let k(t) = -4*j(t) - 11*q(t). What is the first derivative of k(y) wrt y?\nAnswer: -2*y + 17","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 7\/2 of a millimeter in micrometers?\nAnswer: 3500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let r be 6\/(-3) - (-18*3 + 3). Let g = 66 - r. Suppose -788 = 13*i - g*i. What are the prime factors of i?\nAnswer: 197","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 0 by 17141.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 327 + 322 + p + 317 + 329 - 17*p - 1270.\nAnswer: -16*p + 25","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let b(r) = 791*r - 1788. What are the prime factors of b(22)?\nAnswer: 2, 37, 211","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*y + 6, 0 = -b + 5*y + 23. Is 13 a factor of b?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from vucuvuvuuuvvvuuku. Give prob of sequence vuc.\nAnswer: 9\/680","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 8 divided by 1712334?\nAnswer: 4\/856167","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in -3\/8, -0.91, 4?\nAnswer: -0.91","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Does 80 divide 32300560?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in 0.26, 4, 186, 2\/7?\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 2? (a) 5\/3 (b) -3\/2 (c) 0.02 (d) 5 (e) -66\/181\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 22*y - 17*y - 17*y + 161*y - 106 + 104.\nAnswer: 149*y - 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-a**3 + 2*a - a - 3*a)*(-304250 + 304250 - 1635*a**2).\nAnswer: 1635*a**5 + 3270*a**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 333*s**3 + 99 - 363*s**3 - 101 - 154*s**3.\nAnswer: -184*s**3 - 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 26988 and 468.\nAnswer: 156","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:25 AM and 9:20 AM?\nAnswer: 175","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of 703, 2768, 6201, 10996, 17147, 24648?\n\"Answer: -c**3 + 690*c**2 + 2*c + 12","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 9432200?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let c(d) = 2*d**3 - d**2 - 3*d + 1. Let r(m) = m**3 - 128*m**2 + 125*m + 1. Let j(s) = 2*c(s) - 2*r(s). Factor j(w).\nAnswer: 2*w*(w - 1)*(w + 128)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3 - 3 + 3*q)*(5*q - 5*q + 7*q**4) - 5*q**5 - q**5 + 5*q**5 + q**5 + q**5 - 4*q**5 + 4*q.\nAnswer: 18*q**5 + 4*q","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let l(q) be the second derivative of -2*q**3 - 12*q**2 - 16*q. Let m be l(-15). Suppose -m = -33*o + 31*o. What is the tens digit of o?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify w**20\/w**(1\/7) assuming w is positive.\nAnswer: w**(139\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let u(m) = -2*m - 13. Let w = -19 + 10. Let t be u(w). Suppose -2484 = -4*r + l, -2*r - 3*r = t*l - 3080. What is r rounded to the nearest one hundred?\nAnswer: 600","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 588 minutes before 10:15 AM?\nAnswer: 12:27 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 124909?\nAnswer: 124909","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of (14\/(-10))\/(6\/(-581100)*10).\nAnswer: 7, 13, 149","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) 106 (b) -0.1 (c) 1 (d) 0\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 6 + -5 + 76 + -40.\nAnswer: 37","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let k(q) = 3 - q**2 + q - 11*q - 11. Calculate the remainder when k(-6) is divided by 3.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1635 a multiple of 8?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 650550 times 1?\nAnswer: 650550","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -3077.401 + -6.599. Let o = i + 3096.37. Let y = -11.7 + o. What is y rounded to one dp?\nAnswer: 0.7","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -867276*m**3 + 1651975*m**2 wrt m.\nAnswer: -5203656","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 157604 is divided by 26219.\nAnswer: 290","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let b(m) = -6*m - 24. Let x be b(-4). Let n(y) = 123 + x*y**2 + 2*y**2 - 131. Let q(a) = 2*a**2. Determine q(n(r)).\nAnswer: 8*r**4 - 64*r**2 + 128","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (1 + 3\/(-6))*78. Let v = r + -14. What is the common denominator of v and 164\/24 - 2\/(-1)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 28 - -60. Calculate the highest common divisor of 11 and a.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -2.3 - -1.8. Suppose 5*r - 3 = -2*b, 8*b - 21 = r + 3*b. What is the nearest to 0.1 in v, 0.1, r?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -4 - -5. Let g be (-9)\/d - -2 - -1. Which is greater: -7 or g?\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 3*g + 17*g - 60 for g.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 120\/4800*32*330\/28.\nAnswer: 66\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in -11, 1.9, -45.849, 2\/7?\nAnswer: -11","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let k(q) = q**3 - 4*q**2 - 6*q + 4. Let o be k(5). Which is the closest to o? (a) -0.1 (b) 0.4 (c) 0.03\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*l + q = 11, 4*l + 3*q - 9 = l. Let t(k) = 2*k**2 - 10. What are the prime factors of t(l)?\nAnswer: 2, 59","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -17\/18 and ((-275)\/(-4))\/(-5) + 1.\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from xpyvyxyovv. What is prob of picking 1 v, 2 x, and 1 o?\nAnswer: 1\/70","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 16*o - 20*o = j - 301, -4*o + 271 = -5*j. What is the remainder when 286 is divided by o?\nAnswer: 64","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 207704 or 207799?\nAnswer: 207799","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -24 + 8. What is the common denominator of (-1)\/2*(-124)\/d and 3\/12 - (-1925)\/(-252)?\nAnswer: 72","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -2 (base 3) to base 11.\nAnswer: -2","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let f be -3 - (1 + (-9)\/(-3)). List the prime factors of 4\/14 - 19\/f.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*h**4 + 3*h**4 - 2*h**4)*(-3*h + 2*h + 3*h) + 60*h**5 + 43*h**5 - 27*h**5 + (-h - h + 0*h)*(2 + h**4 - 2) - 3*h**5 - 3*h**2 + 3*h**2.\nAnswer: 69*h**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 116 - 58. Let l = h - -74. Let g = -129 + l. Solve -a - 3 = g*b, -5*b - 1 = -a + 4 for a.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: 126 * -0.03614969\nAnswer: -4.55486094","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 i and 1 e when three letters picked without replacement from {e: 4, i: 5, z: 3}?\nAnswer: 2\/11","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*s + 5*g - 28 = 0, -5*s + g + 2*g + 8 = 0. Suppose -80 = -v - s*v. Does 8 divide v?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 3*(4*sqrt(20)\/sqrt(4))**2.\nAnswer: 240","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence xx when two letters picked without replacement from vxvxxvxx?\nAnswer: 5\/14","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let b(c) = c + 3. Suppose p + 4 = -4*d, -4*d + 20 = -0*d - 5*p. Give b(d).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 26 take away 0.02117755476837?\nAnswer: 25.97882244523163","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3*g**2 + g**2 + 0*g**2 + g**2 + 4*g**2 - 2*g**2 + (3 + 0 - 4)*(0 + 2*g**2 + 0))*(3 - 4 + 0).\nAnswer: g**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Expand -28 + 28 + 3*s + (-1 - 1 + 4)*(-2*s + 0*s + 3*s) + 1 - 1 + 2*s.\nAnswer: 7*s","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-1 - y - 4*y - y)*(36 + 34*y - 36).\nAnswer: -204*y**2 - 34*y","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*d - 2*z + 184 = -177, 4*z - 8 = 0. Suppose -2*y - 252 = 4*h, 256 = 2*h - 6*h - y. Let p = d + h. Is 9 a factor of p?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 6 divide 1410?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (2\/(-8))\/((-3)\/12). Suppose z + 4 = 5*v. Let g = v - -3. Solve 0 = g*o + 3*b - 18, 0 + 5 = -o + 4*b for o.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(s) = s**3 - s**2 + 28. What is u(0)?\nAnswer: 28","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let r(a) = 2*a**2 + 8*a + 6. Let u be r(-5). Suppose 0 = -2*b - 2 - 0, 3*f + u = -b. Let m(c) = -c**3 - 5*c**2 - 2*c - 5. Let k be m(f). Sort k, -5, 4.\nAnswer: -5, 4, k","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {a: 1, v: 5, r: 1, t: 1, z: 1}. Give prob of picking 2 v and 1 t.\nAnswer: 5\/42","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is 4107*(7 + 60\/(-9)) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((n**(-10)\/n*n)\/(n**3\/n*n))\/(n**(-3)*n**(-10)) assuming n is positive.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Express (4*k + 2*k**2 - 4*k)*(2*k**2 + 0*k**2 - 5*k**2 + (2 + 2 - 2)*(3*k**2 - 4*k**2 + 3*k**2)) as r*k**4 + h + j*k**2 + u*k**3 + d*k and give r.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Express (-3*x + 5*x + 0*x)*(-3 + 3 + x**2 + (8*x + 3*x - x)*(x + x + 4*x)) in the form c*x**3 + t*x**2 + y*x + v and give c.\nAnswer: 122","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1319 is divided by 67.\nAnswer: 46","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is 13c2 + -210?\nAnswer: 11b2","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let k(a) be the first derivative of 3*a**6\/10 - 492*a**5\/25 + 6381*a**4\/20 + 638*a**3 - 1008*a**2\/5 - 4704*a\/5 - 3498. Suppose k(q) = 0. What is q?\nAnswer: -1, 2\/3, 28","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 52*m - 3*y - 8 = 48*m, -2*y - 4 = -4*m for m.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 2 and 144?\nAnswer: 144","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -22 - 74*s**4 - 4*s + 24*s**3 - 25*s**3 - 4 + 0 wrt s.\nAnswer: -888*s**2 - 6*s","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.56618 to 2 decimal places.\nAnswer: 0.57","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of -353306, -353314, -353326, -353342?\n\"Answer: -2*p**2 - 2*p - 353302","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) -2.7 (b) -0.4 (c) -33493 (d) 2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of ((-14)\/42)\/(-2*(-1)\/(-66))?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1294568 divided by 1034.\nAnswer: 1252","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let q(g) = g**2 + 4*g - 4. Let f(c) = -c**2 - 5*c + 5. Let r be -1 + (-3 + -21)\/(-6) + -5. Give r*f(i) - 3*q(i).\nAnswer: -i**2 - 2*i + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1.237*4.\nAnswer: 4.948","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 610973 to the power of 1\/5, to the nearest integer?\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (18\/(-20))\/(-3)*40\/48. Sort 3, 4, y in decreasing order.\nAnswer: 4, 3, y","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:05 PM and 6:51 PM?\nAnswer: 166","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let a(z) = 2*z**2 + z. Let g be a(-2). Suppose k + g = 4. What is the common denominator of 29\/12 and 5\/130*-73 + (-1 - k)?\nAnswer: 156","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: -646433 (base 8) to base 5\nAnswer: -23410342","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let h(j) = 2*j**2 - 17*j + 21. Let r be h(7). Solve r = -w + 3*i + 2, 0*w - 3*i + 18 = 3*w for w.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -50\/53 - -5603\/5883. Let x(h) = -h**2 + 10*h + 12. Let f be x(11). Which is smaller: v or f?\nAnswer: v","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 814.1524 and -0.8?\nAnswer: -651.32192","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is 1389066 a multiple of 111?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1668 is divided by 822?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 2\/5850833 or 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from ukkkrkttutakakikta. What is prob of picking 1 a and 1 k?\nAnswer: 7\/51","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (-1)\/(5\/(-4) - -1). Let b(f) = -3*f**3 + 67*f**2 - 17*f - 88. Let y be b(22). Sort d, -1, y.\nAnswer: -1, d, y","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (-4*c + c + 0*c)*(-377*c + 377*c + 26*c**3) as f + i*c**2 + s*c + z*c**4 + l*c**3 and give z.\nAnswer: -78","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is 23 a factor of 1725?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 69 in 0, 2\/9, -0.4, 92.1?\nAnswer: 92.1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve -94*n - 702 = 4880 + 528 for n.\nAnswer: -65","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4 = -2*h - 2*g, 1 = -5*h - g + 5*g. Is -8\/7 smaller than h?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*r - 11 = 1. Let l(w) = w**2 - 3*w - 3 + 3 + w**r + 1 + 2*w**2. Give l(2).\nAnswer: 15","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: 12 (base 5) to base 4\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (960\/45)\/(2\/687). Let u = -4345 + g. Is u composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(j) = -j**3 + 6*j**2 - 9*j + 9. Let n be v(3). Solve n*w - 53 = -80 for w.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 4 + sqrt(14)\/(sqrt(42)\/sqrt(6)) + -4.\nAnswer: sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -0.06 - 0.16. Let q = l + 0.66. Let s = q - 0.55. What is s rounded to two dps?\nAnswer: -0.11","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 24535\/5*(-4)\/(-2 - 2) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(s) = -s**3 + 15*s**2 - 38. Calculate w(10).\nAnswer: 462","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*o + 6 = -5*u - 8, -5*u = -3*o + 4. What is the closest to 1 in o, 0.5, -0.5, 0?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 1947 and 57618.\nAnswer: 3399462","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 86*0.1561.\nAnswer: 13.4246","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 1810?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let 3*x**5 - 12*x**4 - 240*x**3 + 192*x**2 + 6144*x + 12288 = 0. What is x?\nAnswer: -4, 8","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let m(u) = -3*u**2 + 3*u. Let n(a) = -11*a**2 - 23*a. Let c(v) = -4*m(v) + n(v). Let f(o) = 60*o. Calculate f(c(r)).\nAnswer: 60*r**2 - 2100*r","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let v(q) be the first derivative of 3*q**4\/4 - 7*q**3 + 15*q**2 + 10. Factor v(d).\nAnswer: 3*d*(d - 5)*(d - 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence jxv when three letters picked without replacement from xxixxvnxjnn?\nAnswer: 1\/198","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let r(z) = -z + 1. Let k(a) = a**2 + 32*a - 31. Let v be k(-33). Let u(f) = -2*f**3 - 2*f**2 - 2*f. Determine v*r(l) - u(l).\nAnswer: 2*l**3 + 2*l**2 + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is -38622839 < -38622838?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let j(s) be the first derivative of 7*s**3\/4 - 859*s**2\/8 - 41*s\/2 - 2772. Factor j(y).\nAnswer: (y - 41)*(21*y + 2)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 9348892 and 4.\nAnswer: 9348892","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-4 + 6 + 0)*(-1 + 1 - 2*n)*(-7*n**2 - 11*n**2 + 3*n**2).\nAnswer: 60*n**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -o**2*w**2 + o**2*w + 3*o*w**4 + 3*w**4 + 195*w wrt w.\nAnswer: -2*o**2 + 36*o*w**2 + 36*w**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Are -2540 and -1898303\/747 equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let l(o) = 6*o**3 + 3*o**2 + 3. Let h be l(-3). Let f be ((-40)\/12)\/(2\/h). Let i = f - 156. Is i a multiple of 14?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -3.819662 - -3.82. What is o rounded to 5 dps?\nAnswer: 0.00034","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 15 divide 1466?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let g(t) = -161*t + 1435. Give g(9).\nAnswer: -14","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is 5 - 20025453544?\nAnswer: -20025453535","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 808415 to the nearest integer?\nAnswer: 899","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-88*v - 86*v + 45*v + 0*v)*(8 + 2 + 1)*(2 + 4 - 3) to the form g + p*v and give p.\nAnswer: -4257","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 2*g**4*q - 889537*g**3*q + 2*g*q + 45*g - 2*q - 6287 wrt g?\nAnswer: 24*g**2*q - 5337222*g*q","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 19408*z + 30549*z + 3438*z.\nAnswer: 53395*z","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is 2419197917 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: -45 + (33 - 26) + 68\nAnswer: 30","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is -183 - 0?\nAnswer: -183","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 35\/56134 and 47\/3797300.\nAnswer: 64554100","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*u + 50 = 2*u. Let m = 61 - u. List the prime factors of m.\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*j + 16*j - 808420. Is j composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Product of -0.2 and -1.4649.\nAnswer: 0.29298","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (((-627)\/(-1064))\/11)\/(51\/34)?\nAnswer: 1\/28","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -252157304476*f + 6*f**3 + 252157304476*f.\nAnswer: 6*f**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -43 - -40. What is the biggest value in -5, 28, i?\nAnswer: 28","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -11561, -11317, -10895, -10283, -9469, -8441, -7187?\nAnswer: -5695","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: How many decades are there in 4.235887 centuries?\nAnswer: 42.35887","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Express (0 - r + 0)*(6 - 5 + 2)*(2*r + 2*r**3 - 2*r) in the form g + f*r + i*r**2 + t*r**3 + y*r**4 and give i.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let g be -4930*(-54)\/12 - -2. Suppose -d = 2*p - 15040, 4*d + 7893 + g = 4*p. What is p rounded to the nearest 100?\nAnswer: 7500","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 6676?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 371?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*w + 350 = 7*w + 8*w. Solve 1075*d - 1082*d = w for d.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(c) = 3896*c + 126. Let l(m) = -1948*m - 56. What is -9*l(p) - 4*n(p)?\nAnswer: 1948*p","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Factor 1\/2*x**2 + 2 + 2*x.\nAnswer: (x + 2)**2\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:36 PM and 4:36 AM?\nAnswer: 360","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is 32750371 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let f(a) = -55*a + 1375. Suppose 0 = -4*q - g + 55, 3*g + g + 20 = 0. What is the smallest common multiple of q and f(24)?\nAnswer: 165","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:12 AM and 7:15 AM?\nAnswer: 63","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -126*x + 344*x + 1 - 120*x - 121*x.\nAnswer: -23*x + 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let s(q) = q**2 - 10*q - 3. Let a be s(12). What is the remainder when 69 is divided by (28\/a)\/(6\/81)?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 315257?\nAnswer: 315257","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -10060284*q**2 + 28679243 wrt q?\nAnswer: -20120568*q","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*u + 3682 = 2*f, -5519 = -31*f + 28*f - 2*u. Does 12 divide f?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 3\/5*n**3 - 3072\/5 + 0*n**2 - 576\/5*n.\nAnswer: 3*(n - 16)*(n + 8)**2\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:50 AM and 8:54 AM?\nAnswer: 304","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (2*(sqrt(405) - (-1 + sqrt(405)) - sqrt(405)) - sqrt(405))**2 + 3.\nAnswer: -108*sqrt(5) + 3652","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 w and 1 t when three letters picked without replacement from tttwwtwttttwtttwttw?\nAnswer: 65\/323","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 29127655 to the nearest integer?\nAnswer: 5397","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let r(y) be the first derivative of -2*y**2 - 10. Let m(t) = -12*t. Calculate r(m(g)).\nAnswer: 48*g","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let r(k) = 27*k**2 + 17*k - 8. Let f be r(-1). Suppose -2\/19*t**f + 0 + 12\/19*t**3 - 10\/19*t**4 + 0*t = 0. What is t?\nAnswer: 0, 1\/5, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 338 and 120?\nAnswer: 20280","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let c(p) = -p + 14. Calculate c(9).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) 0.3 (b) -2\/3 (c) 37 (d) 0.9\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*y = 21704*u - 21709*u + 30, -u + y + 6 = 0 for u.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 647, 441, 83, -439, -1137, -2023, -3109?\nAnswer: -4407","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let x(b) = -162*b**3 - 5*b**2 + 5*b. Let o(k) = k**3 + k**2 - k. Give 5*o(u) + x(u).\nAnswer: -157*u**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 3987 + -3983. Put 0, g, -76 in descending order.\nAnswer: g, 0, -76","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:41 AM and 3:34 AM?\nAnswer: 173","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 6 + -11. Let v = -5 + 4. Suppose 0 = 12*f + 7*f - 57. Which is the second biggest value? (a) i (b) f (c) v\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 14 and 1099395076.\nAnswer: 7695765532","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let u(n) = 5*n - 238. Let x be u(48). Let c = -14 + 64. Suppose -x*k = -c - 62. Is 14 a factor of k?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(7) + (sqrt(28) + sqrt(7))*-4 - (sqrt(98)\/sqrt(2))\/sqrt(7).\nAnswer: -12*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 93 is divided by ((-16)\/10)\/((-203)\/(-35) + -6).\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -4718*p**4 - 3480*p?\nAnswer: -56616*p**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -71\/16 and 349\/112 - (15 - 120\/10).\nAnswer: 112","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 101 - 97. Suppose 7 = -p - m*r, 4*p - 20 = r + 3. Suppose -p*l = -4*j + 15, -2*j + 15 = l + 4*l. Solve -2*w + 2*c = 14, j*w - c + 21 + 2 = 0 for w.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -114*t - 38 = 8*a - 116*t, -5*a + 3*t - 7 = -3*a for a.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let c(y) = -24*y - 492. Let g be c(4). Put -1\/5, 2\/23, -3\/2, g, 0 in descending order.\nAnswer: 2\/23, 0, -1\/5, -3\/2, g","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -4465 + t - 8*t**2 - 6*t**2 - 3*t**2.\nAnswer: -17*t**2 + t - 4465","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is 0 at most as big as -3\/293?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 121 - 1571\/13. Let z = 39\/23 - 241\/115. Which is the second biggest value? (a) y (b) z (c) 38\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -18 - -4. Let b = 76 + -49. Let v = b + a. Is v a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c be 6*30\/(-4)*(-32)\/72. What is the common denominator of -31\/7 and 1\/5 + 78\/c?\nAnswer: 70","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 3\/(11\/((-3597)\/(-9))).\nAnswer: 109","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -14*z + 16 = -13*z. Suppose -4*r + z = 0, 4*s - 4*r + 12 = -7*r. Let f(v) = -129*v + 11. Is f(s) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 36 + -50. Let h = 217 + -217. Which is the fourth smallest value? (a) -3 (b) h (c) -2\/5 (d) k\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -170619.7 rounded to the nearest one hundred thousand?\nAnswer: -200000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 24*p - 4*p - 12*p - 7*p.\nAnswer: p","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Express i**3 + 198*i + 12*i**2 - 198*i as u*i**2 + r*i**3 + j*i + w and give w.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (-23)\/5 - (-4)\/(-10). Let q = -434\/33 + 1733\/330. Calculate the common denominator of q and 4\/(-22)*(a + 10).\nAnswer: 110","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0.09 - 3428916.\nAnswer: -3428915.91","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*k**2\/9 + 23900*k\/9 - 95632\/9 = 0. What is k?\nAnswer: -11954, 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 67*i**4 - 54*i**2 - 7269.\nAnswer: 268*i**3 - 108*i","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let p be 0 - (1 - (-153)\/1). Let i = 346 + p. Suppose 7*m - i = 3*m. Calculate the greatest common divisor of 12 and m.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 29 - 16*z - 19 - 10 - 8.\nAnswer: -16*z - 8","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (4*sqrt(112))**2 + -4 + -4.\nAnswer: 1784","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let r(h) = -13*h**4 - 80*h**3 - 226*h**2 - 154*h - 5. Let j(l) = 6*l**4 + 40*l**3 + 112*l**2 + 76*l + 2. Let x(c) = -5*j(c) - 2*r(c). Factor x(i).\nAnswer: -4*i*(i + 1)*(i + 3)*(i + 6)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {f: 5, g: 9}. Give prob of sequence fff.\nAnswer: 5\/182","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let u(w) = 22*w**2 + 3*w + 207. Let h(q) = 2*q. What is h(u(g))?\nAnswer: 44*g**2 + 6*g + 414","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Express -1 - 9*t + 1 + 5*t as r + m*t and give r.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (4*10\/(-1080))\/((-7)\/(-21))?\nAnswer: -1\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*j - 5080 = -4*k - 5110, -5*k - 3*j = 36 for k.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is 6568461 a multiple of 457?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (55 - 47) + -25 + 5?\nAnswer: -12","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let h(z) = -3*z - 9. Let t be h(-11). Suppose 6*c - 7*c + t = 0. Is 24 a factor of c?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*n = 2*z + 5, 2*n = -49*z + 54*z - 35 for z.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1731527912?\nAnswer: 2, 19, 11391631","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -75 or -79?\nAnswer: -75","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -596*i**2 + 900*i**2 + 841*i**2.\nAnswer: 1145*i**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -2 in 0.4, 7.5, 2\/81, -0.3?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -27\/2 or 44?\nAnswer: 44","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -4 and -255.\nAnswer: 1020","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (-35)\/14 - (-1 - 3). Let r be (-2)\/(-16)*-10*(-4)\/10. Let -d*y**2 + 0 + r*y + y**3 = 0. What is y?\nAnswer: 0, 1\/2, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of -116, -152, -204, -266, -332, -396, -452, -494?\n\"Answer: r**3 - 14*r**2 - r - 102","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 20 and 110.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -1\/40 or 3048\/11?\nAnswer: -1\/40","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of 989, 2316, 3985, 5996, 8349, 11044?\n\"Answer: 171*n**2 + 814*n + 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 118*h = 117*h - 3 for h.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is -268558.5 rounded to the nearest one thousand?\nAnswer: -269000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (68\/(-884))\/(-8 + 7)?\nAnswer: 1\/13","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(s) = s**2 + 21*s + 60. Calculate z(-5).\nAnswer: -20","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Does 19 divide 89269049?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let d(l) = -434*l - 672. Give d(-10).\nAnswer: 3668","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let y(g) = 14 + 9*g + 24*g**3 - 17*g**3 - 8*g**3 + 3*g**2 - 13. Determine y(5).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -251 take away 389.3?\nAnswer: -640.3","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Factor -14\/13 - 2\/13*a**4 - 20\/13*a**3 - 48\/13*a**2 - 44\/13*a.\nAnswer: -2*(a + 1)**3*(a + 7)\/13","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 11657 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is -18 divided by -105?\nAnswer: 6\/35","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 460958?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((x*x**(2\/7))\/x)**34\/(x**(2\/23))**(1\/94) assuming x is positive.\nAnswer: x**(73501\/7567)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve -24*r + 25 = 10*r + 161 for r.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence obd when three letters picked without replacement from odb?\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let k be ((-29)\/58)\/(2\/4). Let s(b) = -26*b**5 - 28*b**3 + 56*b**2 - 18*b + 4. Let r(d) = 2*d**5 + d**4 - 2*d**2. Let u(c) = k*s(c) - 12*r(c). Factor u(f).\nAnswer: 2*(f - 2)*(f - 1)**4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(l) = 3*l + 20. Let h be x(-5). Suppose -3*r - 14 = -h*r. Does 7 divide r?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 107\/5052 and -83\/8420?\nAnswer: 25260","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 142317.4 decades in months?\nAnswer: 17078088","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -25 and 0.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: (-670)\/(-65) + ((-800)\/(-130))\/(-20)\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence vm when two letters picked without replacement from {m: 7, v: 2}?\nAnswer: 7\/36","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4309842 + 15790158 = -3*u. What is u rounded to the nearest 1000000?\nAnswer: -7000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (u**(-5)*u*u*u*u**(-3)*u*u**1*u*u*u**(2\/11)\/u)**(-1\/2) assuming u is positive.\nAnswer: u**(10\/11)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-182)\/1274*(-1)\/((-18)\/147)?\nAnswer: -7\/6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of -604414, -1208828, -1813242, -2417656, -3022070?\n\"Answer: -604414*p","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 7416 and 72.\nAnswer: 72","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between 0.0754 and 1950564210?\nAnswer: 1950564209.9246","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-4 + 6 + 0 + v**2)*((92 - 249 - 182)*(-3 - v + 3) - v - v + 4*v).\nAnswer: 341*v**3 + 682*v","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let x(o) = o**3 + o**2. Suppose -29*c + 144 = -30. Let y(k) = 2*k**3 + 2*k**2. What is c*y(i) - 13*x(i)?\nAnswer: -i**3 - i**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Round 657205 to the nearest one hundred thousand.\nAnswer: 700000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 9*r**2 + r**3 + 19*r - 20*r + 3*r**3 to n + w*r**3 + s*r + y*r**2 and give y.\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in s + 14*s - 15*s + 19*s**2.\nAnswer: 19*s**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: 27*-5.691491\nAnswer: -153.670257","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: ((-3)\/2)\/(4 - (-40)\/(-16))\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is (-9)\/45 + (-9468)\/(-15) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -15699794 + 1999*k**4 + 1302*k**2 + 15699794 wrt k?\nAnswer: 47976*k","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*t = -h + 22, -3*t - h + 2*h + 10 = 0. What is the highest common divisor of 10 and t?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 125067 to the nearest integer?\nAnswer: 50","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 73\/11895 and -97\/5490.\nAnswer: 71370","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3 + 3 + 4*k)*(-k**3 - k**3 + k**3).\nAnswer: -4*k**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -3 - -5 - 1*21\/7.\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 105, 67, -13, -147, -347?\nAnswer: -625","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 72*k - 1454 - 31 = 171*k for k.\nAnswer: -15","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is -185.372 rounded to the nearest 10?\nAnswer: -190","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-29*p + 18*p - 62*p)*(p - 4*p + 2*p) + (-p + p + 2*p)*(-2*p + 2*p - 2*p) to the form j*p + m + r*p**2 and give r.\nAnswer: 69","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 7 + -34 + 15 + -6.\nAnswer: -18","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Convert -114 (base 9) to base 4.\nAnswer: -1132","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence vfv when three letters picked without replacement from {f: 11, v: 9}?\nAnswer: 11\/95","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Put together 0.199 and -13.\nAnswer: -12.801","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is -29857.7 - -251868?\nAnswer: 222010.3","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 24070 rounded to the nearest 1000?\nAnswer: 24000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*c - 24 = -3*l - 116, -3*l + c - 86 = 0. Let x = 38 + l. Sort x, 5, -1 in decreasing order.\nAnswer: x, 5, -1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(q) = q**2 + 105*q + 6. Let n(f) = 3*f**2 + 316*f + 17. Let w(d) = 6*n(d) - 17*p(d). Let m(b) = -2*b. Determine m(w(u)).\nAnswer: -2*u**2 - 222*u","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is 0 greater than or equal to 16\/381?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 210519?\nAnswer: 3, 23, 113","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Divide 601007562 by -34.\nAnswer: -17676693","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 6474 + -6383. Calculate the remainder when 5271 is divided by j.\nAnswer: 84","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 1276 or 37016\/29?\nAnswer: 1276","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Round -123014.6 to the nearest one hundred.\nAnswer: -123000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 2696432784?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Convert 0.3206873 years to decades.\nAnswer: 0.03206873","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 597 is divided by (50020\/(-150))\/(-41) - ((-4)\/(-30) - 0).\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 138038410?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 5*f*h**4 - 709*f*h**3 - 4*f*h**2 - 108008*f*h wrt h?\nAnswer: 60*f*h**2 - 4254*f*h - 8*f","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 89392680 divided by 2292120?\nAnswer: 39","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (i**33)**12\/(i**(-30)\/(i*i**(-17))) assuming i is positive.\nAnswer: i**410","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -1*36\/45*(1925\/(-10))\/(-7)?\nAnswer: -22","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let w be -2 - 2*(-84)\/24. Solve 0 = -w*z + 5, -2*c - 3*z + 4 = -3 for c.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 1254840800*c**2 + 245552598 wrt c.\nAnswer: 2509681600*c","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {v: 6, r: 2, d: 3, n: 1}. Give prob of sequence vnrv.\nAnswer: 1\/198","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 62 - 55. Calculate the remainder when 48 is divided by d.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 77078397 is divided by 465?\nAnswer: 462","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let y(n) = -372163*n + 2977313. What is y(8)?\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*w = -2*y - 264, 292 - 7 = -3*w + 5*y. Let h = 89 + w. Put -2, h, -4, 3 in increasing order.\nAnswer: -4, -2, h, 3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*x = -3*o + 2389, -355*o = -354*o + 2*x - 815. Solve 0 = -798*b + o*b + 24 for b.\nAnswer: -8","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -72 = 5*i - 2*y + 56, -22*i = -62*i - 4*y + 156 for i.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*f - 50 + 10. Let a(x) = -x**3 - 3*x**2 + 2. Let b be a(-2). Calculate the remainder when f is divided by (-22)\/((-1 + 2)*b).\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1306439 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is 0 < -117\/5973251?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 4101 to the power of 1\/2, to the nearest integer?\nAnswer: 64","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) 0.1 (b) -1\/4274 (c) -0.03 (d) 97\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence sd when two letters picked without replacement from sddddffddzzl.\nAnswer: 1\/22","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*q = -0*q - 3*a + 233, -4*q + 2*a = 188. Let o(j) = j**3 - 30*j**2 + 81*j - 2. Let m be o(27). Let x be 28\/q*7\/m. Are -1 and x equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a be ((-4)\/(-6))\/(1\/9). Suppose -501 = -a*l + 3*l. Is l a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 6 by 18.\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 7*l - 16*l + 7*l + l + 40475.\nAnswer: -l + 40475","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (-5)\/((-3)\/(1 - -2)). Let p be 16\/(-60) + (-2)\/c. Which is smaller: p or -0.1?\nAnswer: p","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(i) = -i**3 - 9*i**2 - i - 250. Determine s(-11).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_test"},"subset":"dm_maths"} +{"text":"Question: Simplify j**24*j**(1\/45) assuming j is positive.\nAnswer: j**(1081\/45)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of -24, -115, -276, -513, -832, -1239, -1740, -2341?\n\"Answer: -y**3 - 29*y**2 + 3*y + 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let z(y) = -7*y**3 - 19*y**2 - 13*y + 446. Let t(m) = 7*m**3 + 21*m**2 + 17*m - 446. Let n(g) = -5*t(g) - 6*z(g). Find the first derivative of n(a) wrt a.\nAnswer: 21*a**2 + 18*a - 7","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-80)\/(-520)*-845)\/((-4)\/(3*(-4)\/6)).\nAnswer: -65","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 8*a**3 - 4*a**3 - 4*a**3 - 25*a**3.\nAnswer: -25*a**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Express -2*x**2 - x**3 - 46 + 63 - 29 - x in the form y + q*x**3 + w*x**2 + f*x and give q.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (f*f\/f**(2\/105)*f**(-41)*(f**(-7\/3))**5)**20 assuming f is positive.\nAnswer: f**(-7096\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: (-4277)\/94*4*6\/(-39)\nAnswer: 28","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in -5, 2\/11, 15?\nAnswer: 15","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 16390 is divided by 16371?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 143626?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Expand h - 3*h + 3*h + h + 0*h + 2*h + h + h - 4*h - 2*h - 5*h + 3*h + (2*h + 4*h - 5*h)*(3 - 7 - 2) + (4 - 3 - 2)*(0*h - 4*h + 2*h)*(-2 + 4 + 0).\nAnswer: -4*h","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 e and 2 y when four letters picked without replacement from {y: 6, h: 1, f: 1, z: 1, e: 4, p: 2}?\nAnswer: 6\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -0.0234 in 9, 20, 1\/7, 3\/4?\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 11101 + 3*u**2 - 8*u**3 - 22233 + 11045 to the form s + b*u + q*u**3 + j*u**2 and give b.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is eleven halves of a microgram in nanograms?\nAnswer: 5500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 6329298 to the power of 1\/2, to the nearest integer?\nAnswer: 2516","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 167 is divided by 13?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is 2852 greater than 2846?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is 12425 - 104?\nAnswer: 12321","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is 1 - -133432?\nAnswer: 133433","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2 = -2*i, 315313*s + 2 = 315312*s + 2*i for s.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0*39\/(17745\/(-35)).\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let r(t) = 220*t**3 + 0*t**2 - 223*t**3 + t + 2*t**2. Let m(u) = -13*u**3 + 9*u**2 + 4*u. What is -2*m(z) + 9*r(z)?\nAnswer: -z**3 + z","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 440210, 880497, 1320868, 1761329, 2201886, 2642545, 3083312?\nAnswer: 3524193","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of -5520188, -5520198, -5520218, -5520254, -5520312, -5520398?\n\"Answer: -s**3 + s**2 - 6*s - 5520182","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is -2097772 less than or equal to -2097775?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_test"},"subset":"dm_maths"} +{"text":"Question: Is 1 equal to 98\/45?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -n - 7 = 4. Let l = 3 - n. Let t(a) = 2*a**2 - 6*a + 5. What is the remainder when t(5) is divided by l?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(c) = -2*c**2. Let r(s) be the second derivative of 17*s**7\/630 - 17*s**4\/6 - 39*s. Let t(d) be the third derivative of r(d). Calculate t(b(h)).\nAnswer: 272*h**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -540 - -564. Put r, 0.4, 1, 0 in descending order.\nAnswer: r, 1, 0.4, 0","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2208490?\nAnswer: 2, 5, 269, 821","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -50 = 5*r - 8*c + 5*c, 0 = r - c + 10. Let f be 14\/70 - 48\/r. Sort -3, f, 0.3 in increasing order.\nAnswer: -3, 0.3, f","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is 111 - -2?\nAnswer: 120","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let w(c) be the third derivative of 13*c**4\/4 - 11*c**3 + 9*c**2 + 2*c. Differentiate w(g) wrt g.\nAnswer: 78","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 67553881?\nAnswer: 67553881","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -183 - 2*i + 93 + 90.\nAnswer: -2*i","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -3 in -127, 0.1, -3\/4, -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 8139*s + 2*s**2 + 1 - 8139*s.\nAnswer: 2*s**2 + 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*w - 36 = -60, 48 = 2*l + 5*w. Let z(n) be the second derivative of -1\/9*n**l + 3*n + 14\/9*n**3 + 1 - 20\/3*n**2. Determine j so that z(j) = 0.\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(m) = -m**2. Let q(v) = 23*v - 8. Suppose 3*i + 2*k - 6 - 8 = 0, 3*k + 7 = -i. Let z(a) = 2 - 2 - i*a - 1 + 4. Let h(f) = 3*q(f) + 8*z(f). Give x(h(l)).\nAnswer: -25*l**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is 481466827 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence aooo when four letters picked without replacement from {o: 2, a: 2, l: 2}.\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 665589.\nAnswer: 3, 19, 11677","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -17*y + 4*y + 468. Suppose 2*i + 1 = 7. Let b be (-24)\/(-3)*i\/6. Calculate the greatest common factor of y and b.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 31 - 49 - 1114*g + 2262*g - 1089*g.\nAnswer: 59*g - 18","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Work out -0.51 + 216742669943.\nAnswer: 216742669942.49","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let a(v) = -2*v. Let y(m) be the first derivative of 2*m**3\/3 - 146*m + 3097. Calculate y(a(w)).\nAnswer: 8*w**2 - 146","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 16 and 112432.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) 1.3 (b) -4 (c) 4 (d) 1\/10\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: 101240220 (base 5) to base 12\nAnswer: 180244","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 0 times -282?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of -106, -203, -292, -367, -422, -451, -448?\n\"Answer: t**3 - 2*t**2 - 98*t - 7","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 58100392 to the power of 1\/9, to the nearest integer?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in 4.2, 2, -3, -3\/41?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let d(i) = -37*i - 1. Let k be d(-3). Let h be (-75)\/k - (-2)\/11. Which is smaller: h or -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*a = -10 - 0. Suppose 2*c + 5*z - 105 = 0, -4*z - 117 = -2*c - a*z. Is c a multiple of 15?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 9233 is divided by 3037.\nAnswer: 122","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let b(o) = -3*o**3 + o**2 + 39*o - 82. Give b(3).\nAnswer: -37","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 656.2 - 657.2. Let r = 157027\/42 - 7509\/2. Let y = 47\/3 + r. Which is the nearest to l? (a) y (b) 3 (c) 1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -2\/3 or 1.1504084?\nAnswer: -2\/3","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is -2810397.2 rounded to the nearest one hundred thousand?\nAnswer: -2800000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 225082?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in 0.2, -1\/3, -1, 2\/521, 4, -2\/7?\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of -31399, -125573, -282529, -502267, -784787?\n\"Answer: -31391*x**2 - x - 7","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Factor -3*w**3 - 4557*w**2 - 18180*w.\nAnswer: -3*w*(w + 4)*(w + 1515)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 211684 is divided by 26460.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let o(l) be the third derivative of -l**5\/20 + l**4\/8 + l**3 + 7*l**2. Factor o(d).\nAnswer: -3*(d - 2)*(d + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*g = -b - 14, -3*b - 19 - 3 = 4*g. Is 9 a factor of (-28)\/b - 10\/5?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1635006854?\nAnswer: 2, 13, 62884879","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 5459*i**2 - 10049*i**2 + 5292*i**2.\nAnswer: 702*i**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 20, 18, 14, 8, 0, -10, -22?\nAnswer: -36","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*z = 4*w + 5 - 17, -4*z = 5*w + 39. Is z\/(-4)*14910\/63 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -4*b**2 - 4*b**2 - 6*b**2 + (1 - 2*b - 1)*(4*b - 3*b - 3*b) - 7*b**2 + 0*b + 2*b**2 + 0*b.\nAnswer: -15*b**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 704835 to the power of 1\/3, to the nearest integer?\nAnswer: 89","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let h(w) = -154*w - 108. Let b(l) = 153*l + 108. Let z(c) = 5*b(c) + 4*h(c). Let k(r) = -4*r + 1. Let n(a) = -k(a) - z(a). What is the derivative of n(g) wrt g?\nAnswer: -145","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -2, 4, 7, -3 in increasing order.\nAnswer: -3, -2, 4, 7","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:40 PM and 5:54 AM?\nAnswer: 374","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 627 minutes after 6:32 AM?\nAnswer: 4:59 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of -2390, -4834, -7278, -9722, -12166, -14610?\n\"Answer: -2444*b + 54","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Round 49794000 to the nearest 1000000.\nAnswer: 50000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -6*(2*(sqrt(7) + -2) - sqrt(7))**2*-5.\nAnswer: -240*sqrt(7) + 690","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -17*g - 123*g + 196*g - 8.\nAnswer: 56*g - 8","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 13566598 is divided by 239?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.000004321843 to seven dps.\nAnswer: -0.0000043","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Does -2834371 = -2834376?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 3\/8 of a litre?\nAnswer: 375","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*i = -2*w + 9, 2*i = -0*i - 5*w - 9. Solve -i*j - 10 = -j for j.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -c - 3 = -4*c. Suppose c = b - 2. Suppose 20 = 4*d - u + 4, 4*u + 25 = b*d. Which is smaller: d or 2?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 43 + 505268882*v**2 - 505268882*v**2 + 6*v**3.\nAnswer: 6*v**3 + 43","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 2642359 to the nearest integer?\nAnswer: 1626","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*q = -5*u + 89, 0*u - u + 3*q = -7. Suppose k = 3*k - u. Let x = -6 + k. 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 (-7)\/(-3)*(-72)\/(-392)?\nAnswer: 3\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Does 1813 divide 545596705?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*z - 47 = -4*h + 51, 4*h - 3*z = 99. Let u = 10 - -8. What is the second derivative of -u*m + 5*m**3 - 4*m**3 + 6*m**3 + h*m wrt m?\nAnswer: 42*m","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 663 minutes before 1:49 AM?\nAnswer: 2:46 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 5.31 - 30.31. Let t = 2 - 1.9. Which is bigger: q or t?\nAnswer: t","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 122, -182, -684, -1378, -2258, -3318, -4552, -5954?\nAnswer: -7518","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -27, -55, -87, -123?\nAnswer: -163","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1804 divided by -43.\nAnswer: -1804\/43","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 50110 (base 6) in base 8?\nAnswer: 14572","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Sort -4, -2, 4, -1 in descending order.\nAnswer: 4, -1, -2, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is 108721471 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: 2732a47 (base 12) to base 10\nAnswer: 7780951","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 109\/6248 and 18\/26767.\nAnswer: 2355496","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 22090?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 1 and 19.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3*g**2 + 2*g**2 - 4*g**2)*(-2 - 1 + 1)*(-1 - 4 + 4) + 13643 - 1422*g**2 - 13643.\nAnswer: -1420*g**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let g be 3 + (-4 + 3)*-3. Let m = g + -8. Suppose u = t - 5, t + 21 = 2*t - 5*u. Which is the nearest to t? (a) 3\/7 (b) m (c) -2\/17\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -1? (a) 0.2 (b) -8 (c) -2\/9\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*i - 10 = -5*l, 5*i = -l - 0*i + 2. Let y(g) = 9*g**2 + 9*g + 7. Let m(p) = 0*p**2 + 6*p**2 - 9 - 2*p**2 + 4*p + 12. Give l*y(o) - 5*m(o).\nAnswer: -2*o**2 - 2*o - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is -317 - -4?\nAnswer: -313","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let v(u) = 32*u - 100. What are the prime factors of v(14)?\nAnswer: 2, 3, 29","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 312312 (base 5) to base 11.\nAnswer: 7843","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let b(v) = 10*v**2 + 13*v + 13. Let c be (4\/(-6)*-5)\/(10\/15). Let u(z) = z**2. Let i(q) = -q**2 - 9*q - 9. Let t(m) = i(m) - 6*u(m). Determine c*b(n) + 7*t(n).\nAnswer: n**2 + 2*n + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*k = 3*q + 20, q + 16 = 5*q + 4*k. Suppose b + 10106 = -q*b + 3*x, 4*b = x - 40402. What is b rounded to the nearest 1000?\nAnswer: -10000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 70 = 4*v + 18. Calculate the remainder when 23 is divided by v.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 2940031, 2940078, 2940123, 2940166, 2940207, 2940246, 2940283?\nAnswer: 2940318","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -5 + 7. Suppose 6*t - 4*t - 2 = 0. What is the least common multiple of m and t\/(-2) + (-15)\/(-6)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 63229982?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {j: 1, s: 1, a: 5, c: 9, d: 1}. Give prob of picking 1 c and 1 a.\nAnswer: 45\/136","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -c + 10 = -3*t + 4*t, 4 = 4*t - 5*c. Find the third derivative of -t*o**4 + 20*o**2 + 6*o**2 + 4*o**3 - 6*o**2 - 2*o**3 wrt o.\nAnswer: -144*o + 12","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(l) = 3*l**2 - 5. Let p(h) = -1. Let u = -5 - -7. Suppose -u*z = -q + 2*q - 3, -4*z = q - 5. Give q*o(j) - 5*p(j).\nAnswer: 3*j**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 191.99999993 - 192. What is c rounded to seven decimal places?\nAnswer: -0.0000001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(v) = v**3 + 6*v**2 + 6. Suppose -5*q + 6 = 36. Calculate the remainder when l(q) is divided by 4.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.115334 rounded to 3 dps?\nAnswer: 0.115","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Convert -6679 (base 10) to base 9.\nAnswer: -10141","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let r(j) be the first derivative of 10*j**3\/3 - 1. Let m(a) be the second derivative of a**4\/6 + 286*a. Give r(m(k)).\nAnswer: 40*k**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from dxfxdffdxdefxdfdx. Give prob of picking 3 f and 1 e.\nAnswer: 1\/238","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let n be ((-59)\/(-2))\/((-6)\/(-12)). Let x = n + -13. List the prime factors of x.\nAnswer: 2, 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 7146198263 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -1.3 - 7.2. Let s = j - -6. Let u = s + 0.5. Which is the biggest value? (a) 4 (b) -0.05 (c) u\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 241449 and 273.\nAnswer: 39","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 0.069 + -0.149. What is n rounded to one dp?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3*n**2 - 9*n**2 + 8*n**2)*(0*n + 2*n + n).\nAnswer: -12*n**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let y(w) = -w**3 - 4*w**2 + 9*w + 4. Let h be y(-6). Let j = -74 - -151. Let x = h + j. What are the prime factors of x?\nAnswer: 3, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -3 + 8 + (-3 - 30) + 1 + 8.\nAnswer: -19","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let u(f) = -f**2 + f + 1. Suppose -15 + 57 = 3*q. Suppose -3*a = -q - 1. Let l be (1*-1)\/(a + -6). Give u(l).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put together -0.8 and 29.4053.\nAnswer: 28.6053","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 2.4381 and 65?\nAnswer: 158.4765","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (1 + 2*-1*(-5*(sqrt(153) + -1) - (sqrt(153) - (sqrt(153) - ((0 + sqrt(153) - sqrt(153)) + -2)))) + 1)**2.\nAnswer: -720*sqrt(17) + 15444","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -118*k**4 - k**3 - 8*k**2 - 2?\nAnswer: -2832*k - 6","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (h*h**0)\/(h*h*h**(-1\/4)*h*h)*(h**(-2\/3)*h*h)**23*(h*h**(-2\/7)*h\/h**(-1\/4))\/((h**(-2\/5)\/h)\/(h**(-2\/17)*h)) assuming h is positive.\nAnswer: h**(114823\/3570)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (-1)\/2*(-1 - 7). Let v = -0.02 + 5.02. Let k(g) = 457*g - 1832. Let x be k(4). Which is the fourth smallest value? (a) j (b) 0.5 (c) v (d) x\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(c) = 17*c**3 - 13*c**2 - 418*c + 9. Let b(f) = -4*f**3 + 3*f**2 + 105*f - 2. Give 9*b(z) + 2*r(z).\nAnswer: -2*z**3 + z**2 + 109*z","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Put 21, 5, 3, 206, -9 in increasing order.\nAnswer: -9, 3, 5, 21, 206","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 1857884098 to the nearest integer?\nAnswer: 43103","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let s(r) = 6*r + r - r - 8*r. Let m(v) be the first derivative of v**4\/6 + v - 1. Let b(f) be the first derivative of m(f). Determine s(b(d)).\nAnswer: -4*d**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -3.24539558 + 0.24539528. Let r = -2 - -5. Let u = r + s. What is u rounded to seven decimal places?\nAnswer: -0.0000003","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(a) be the second derivative of -a**7\/5880 - 11*a**3\/6 + 9*a. Let z(y) be the second derivative of j(y). Factor z(p).\nAnswer: -p**3\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -3888 + 4468. Calculate the highest common divisor of i and 1276.\nAnswer: 116","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 228\/7 + -32. Let a(d) = d**2 - d - 1. Let k be a(1). Let o = k - -7. What is the closest to -0.1 in w, o, -2\/7?\nAnswer: -2\/7","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 2*f**2*l*x*y**2 + f**2*y + 2*f*x**2 - l*x**2 - 13*l*y**3 - 4*y**3 - 30*y**2 wrt l.\nAnswer: 2*f**2*x*y**2 - x**2 - 13*y**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (104\/(-14))\/((-52)\/(-546)).\nAnswer: -78","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let p(r) = -r + 14. Let h be p(11). Solve 2*n + 19 = -h*d - 2*d, -2*d + 2 = -4*n for d.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(s) = -s**3 - 12*s**2 - 30*s - 29. Determine g(-9).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*q**2 + 624*q + 627 = 0. What is q?\nAnswer: -1, 209","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -1 in 5, -1\/2, -5, 1.5, -4?\nAnswer: -1\/2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 253 - 249. Let w(r) = -2*r**2 - 3*r - 2. Let t(y) = 3*y**2 + 4*y + 3. Determine a*w(l) + 3*t(l).\nAnswer: l**2 + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1653272991.\nAnswer: 3, 5507, 11119","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*k**2\/19 - 1168*k\/19 + 170528\/19.\nAnswer: 2*(k - 292)**2\/19","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let w(n) be the first derivative of n**2\/2 + 8*n - 2. Let l be 12\/9*9\/(-2). What are the prime factors of w(l)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -4*(-3 + 2 + -3 + 5).\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: (-810)\/45 + 13 + 26\nAnswer: 21","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*r = 4*b + 28, -6*b + 4*b + 4*r = -16. Suppose 0 = 5*j - 327 + 32. Calculate the remainder when j is divided by (-10)\/(-4)*b - (-309 - -283).\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(u) = u**3 - 12*u**2 + u + 13. Calculate the remainder when r(12) is divided by 7.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(b) = b**3 - 13*b**2 - 3*b + 38. Let v be a(13). Is v less than or equal to -2\/655?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 314.9 - 312.2. Let d = 7 - 0.3. Let p = d - u. Which is the nearest to -2? (a) 4\/3 (b) p (c) -1\/3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 3 and -27817?\nAnswer: -83451","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 159425601 is divided by 897?\nAnswer: 894","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let k(d) = -4*d + 2. Let c be k(-2). Let a = 46223\/540 + -2164\/27. What is the common denominator of (-1 - 57\/c) + -1 and a?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -282*c - 64*c + 7612 for c.\nAnswer: 22","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 671757 + 13*g - 671757.\nAnswer: 13*g","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 1\/4? (a) -1 (b) 1\/3 (c) -346 (d) -14\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve -513*y + 434 - 1562 - 183 = -2*v + 446*y + 1550, 15 = -5*y for v.\nAnswer: -8","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*w = -4*x + 27, 5*w + 0*w - 10 = 5*x. Suppose j - x*m - 12 = 0, m = 5*j - 5 - 13. Solve 2*q + 0*q = -i + 8, -j*i = -4*q + 16 for q.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-3)\/(-114) + (-128316)\/(-9044) + -1*14.\nAnswer: 3\/14","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 403311 (base 6) in base 10?\nAnswer: 31867","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 643 is divided by 93.\nAnswer: 85","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: -104 (base 8) to base 7\nAnswer: -125","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: 40 - 20 - 28 - (15 - 16 - (0 + -4))\nAnswer: -11","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in 1.73, 17020, 21?\nAnswer: 17020","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2 = v, 4*b + 6*v = 10*v - 8 for b.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -61*n - 64*n + 249*n - 57*n - 66*n.\nAnswer: n","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let c(j) = j**3 + 20*j**2 - 46*j - 44. Suppose r + 4*o + 26 = 0, 41 = 3*r - 5*r + 3*o. Let y be c(r). Solve -5*x + 5 = -5*l, -5*x + l - 21 + 6 = y for x.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 28 + -27.7. What is the nearest to -1 in -3, 3, b?\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose h - 6*h + 190 = 0. Let z = -35 + h. Let y be (z\/117)\/(5\/90). Do y and 1 have different values?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -6877 + 10060. Is v a multiple of 45?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (d**(-27)\/d)\/((d*d\/(((d\/(d**(-2\/35)*d))\/d)\/d*d))\/d*d)*((d**28\/d)\/d)\/(d**(-1\/2)\/d) assuming d is positive.\nAnswer: d**(-241\/70)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is 100 + 1001111110?\nAnswer: 1010000010","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of 4134, 10716, 17298?\n\"Answer: 6582*v - 2448","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let g(u) = u**3 - 4*u**2 - 3. Let r be g(4). Let m(t) be the first derivative of t**3\/3 - t**2 - 4*t - 23. Calculate m(r).\nAnswer: 11","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2\/15*h**3 - 1682\/15*h + 0 + 116\/15*h**2.\nAnswer: -2*h*(h - 29)**2\/15","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: 437a1 (base 14) to base 12\nAnswer: 7a695","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is -4a776 (base 11) in base 2?\nAnswer: -10001110001100100","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let m(y) = -3*y. Let h(l) = 1 + 0*l - l - 1. Determine h(m(v)).\nAnswer: 3*v","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let r(x) be the second derivative of x**4\/24 - 14*x**3 + 495*x**2\/4 - 714*x. What is c in r(c) = 0?\nAnswer: 3, 165","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: -cb1 (base 16) to base 12\nAnswer: -1a69","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let i(w) = 2*w - 4. Let y be i(3). Suppose 0 = -4*r + 8. Factor -3 - 2*m**y + 5 + 0*m**r.\nAnswer: -2*(m - 1)*(m + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 548415420 and 16527588?\nAnswer: 6032569620","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve 474*t + 33687 = 24681 for t.\nAnswer: -19","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (-96)\/756*-36 - (-1 + 0)*-4. Suppose -3*z + t + 4 = 0, -2*z - 3*t = t - 26. Which is the nearest to -1? (a) 1\/6 (b) z (c) k\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 71441.4 rounded to the nearest one hundred?\nAnswer: 71400","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let f(r) = -5*r. Let j(i) be the first derivative of -i**2 - 21. Give j(f(o)).\nAnswer: 10*o","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -25 - -28. Suppose 0*o + 189 = 4*f + o, u*o - 199 = -4*f. What is the tens digit of f?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -57\/21965 and 83\/1518.\nAnswer: 1449690","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let l(k) = -2*k**2 + 9*k - 6. Suppose 41*w = 1159 + 153. What is the remainder when w is divided by l(3)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -18 - -24. Let m = 2888.5 + -2889. Which is the smallest value? (a) -3\/5 (b) p (c) 1 (d) m\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((2*sqrt(52)*-4 + sqrt(52)*-3 + 2 - (sqrt(3328) + 0 + sqrt(3328) + sqrt(52) + (sqrt(52) - (1*sqrt(416) + sqrt(416))\/sqrt(8)))*-6)*1)**2.\nAnswer: 680*sqrt(13) + 375704","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in 1\/4, 0.045, 36.3?\nAnswer: 0.045","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let u(k) = -3*k. Let t(j) = 539*j. Determine u(t(z)).\nAnswer: -1617*z","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1314*v + 11299 + 4572 = -3839 for v.\nAnswer: -15","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: 21*75268\nAnswer: 1580628","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of -587022, -587025, -587036, -587061, -587106?\n\"Answer: -p**3 + 2*p**2 - 2*p - 587021","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let d(q) be the third derivative of q**7\/420 + q**6\/45 + q**5\/12 + q**4\/6 + q**3\/6 - 2*q**2. Let r(w) be the first derivative of d(w). Factor r(j).\nAnswer: 2*(j + 1)**2*(j + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(b) = -b**3 + 5*b**2 + 13*b + 21. Let c(w) = 2*w**2 - 12*w + 7. Let k be c(6). Let y be u(k). What is the greatest common divisor of 14 and y?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) 3 (b) 0.2 (c) 4 (d) -0.17 (e) 5\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -40*u + 64*u + 120 = 0. Let d be 7\/((-140)\/88) + 4. What is the closest to d in -20, -2\/3, u?\nAnswer: -2\/3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -4 and 747.\nAnswer: -2988","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -7 and -163.\nAnswer: 1141","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let k(l) = -l**3 - 6*l**2 + 3*l + 9. What are the prime factors of k(-7)?\nAnswer: 37","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of -4149, -8297, -12441, -16581?\n\"Answer: 2*l**2 - 4154*l + 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 2074176?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let s(c) = c**2 + 3*c - 5. Let f(m) = -3*m**2 - 7*m + 11. Calculate -4*f(u) - 9*s(u).\nAnswer: 3*u**2 + u + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 38752592 and 400.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 388 minus 6702.7?\nAnswer: -6314.7","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 31551455 is divided by 1159?\nAnswer: 1157","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {y: 2, v: 2, o: 1, f: 1, l: 2}. What is prob of sequence vlol?\nAnswer: 1\/420","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let i(n) = n**2 - 16*n - 6. Does 33 divide i(-5)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 411 - 415. Let c be (-4)\/t - (0 + -3). Let x(p) = p**3 - 4*p**2 - 2*p - 4. What is x(c)?\nAnswer: -12","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 374, 737, 1098, 1457, 1814, 2169?\nAnswer: 2522","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand (46 + 16 + 13)*(2 - 3 - 3)*(0 + 0 + 1)*(2 - 3 - 1)*((2*x + 0*x + 0*x)*(2 + 0 - 4) + (-1 + 2 - 4)*(-x + x - x)).\nAnswer: -600*x","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 2*f - 14 for f.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -1.6 - -1.7. Let k = 4.3 + 0.7. Let h = -4 + 7\/2. Which is the biggest value? (a) n (b) k (c) h\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*c + 0*c + 12 = 0. Suppose -v = c*v - 135. Calculate the least common multiple of v and (-54)\/12*(-120)\/36.\nAnswer: 135","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 4*o + 4*q + 12, -2*q = o - 7*q - 27 for o.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Product of 1120 and 157.\nAnswer: 175840","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 337*j + 356*j + 4 - 1039*j + 4 - 3 + 331*j - 4.\nAnswer: -15*j + 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (0*i**3 - i**3 - i**3)*(-175 - 26 - 33) + 3*i**2 + 9*i**3 + 8*i**3 - 15*i**3 to d*i + h*i**2 + x*i**3 + n and give h.\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 1414139 and 100619?\nAnswer: 421","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 257 and 11808379.\nAnswer: 257","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -0.1? (a) 4 (b) 1\/6 (c) -2 (d) 5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 187 - 177. Calculate the highest common divisor of 250 and z.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 6.404 - 2444.404. Are q and 0.2 nonequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -49, -51, -53?\nAnswer: -55","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let g(x) = -2442*x**3 - 4*x**2 + 3*x - 22. Let p = -33 - -19. Let k be g(p). What is k rounded to the nearest one million?\nAnswer: 7000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor a**4\/6 + 2*a**3\/3 - 9*a**2\/2 - 9*a + 36.\nAnswer: (a - 3)**2*(a + 4)*(a + 6)\/6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*c + 5*t + 0 + 9 = 0, -c + 5*t + 3 = 0. Suppose 5*h - 117 = -3*p + 811, 606 = 2*p - c*h. Is p a multiple of 5?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 4232 - 4231. Which is the fourth biggest value? (a) -2 (b) q (c) 7\/2 (d) 5\/2 (e) -4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*m + 4*y - 7 = 0, 4 = 2*y - y. Suppose -4*d = 5*u - 13, -m*d + 2*d - 3*u = -5. Calculate the lowest common multiple of 38 and d.\nAnswer: 38","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*j + b + 4 = -2*j, 3*b = 3*j. Suppose -6*h = -j*h - 436. Is h a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -238*c + 240*c = 8. Solve -x - c*z = 14, -x + 1 = -3*z - 6 for x.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -3947 + 3947.3. Which is the second smallest value? (a) t (b) 4 (c) 2\/11 (d) -1\/18\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 699 minutes before 7:19 AM?\nAnswer: 7:40 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 1111?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 155 minutes before 1:47 PM?\nAnswer: 11:12 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let l(r) = r**3 - 5*r**2 - 1. Let q be l(5). Let d = 28.31 - 29.5. Let c = d - 9.81. Sort c, -0.4, q.\nAnswer: c, q, -0.4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 6268549 and 238.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 186*c**2 + 0*c**3 - 1 - 193*c**2 - c**3 + c**4 to the form d*c**2 + l + h*c**4 + w*c + s*c**3 and give l.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*o = 4*h - 38725, 80*h = 85*h - 5*o - 48450. Is h a multiple of 13?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many millimeters are there in 1676.511um?\nAnswer: 1.676511","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-4 - (-42)\/12)*1?\nAnswer: -1\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*m - 135 = -5*w, -5*w + 3*m = -164 + 17. Solve 27*j - w*j + 36 = 0 for j.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 r, 1 c, and 2 b when four letters picked without replacement from {r: 1, c: 5, b: 4}?\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is -11 + 4?\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -33*l + 162 = -31*l. Let h = l + -78. Determine q, given that 64 - 3*q**h + 112*q + q**3 - 6*q**3 - 4*q**4 + 4*q**3 + 48*q**2 = 0.\nAnswer: -2, -1, 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from rrr. What is prob of sequence rr?\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 126*v**3 - 25 + 120*v**3 - 254*v**3 + 10*v**3.\nAnswer: 2*v**3 - 25","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 0.4836 - 0.409. Let l = 3.8154 + k. What is l rounded to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(a) = -2*a**2. Let g(f) be the second derivative of -389*f**4\/12 + 2*f - 195. Determine l(g(i)).\nAnswer: -302642*i**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (1\/5 + 24\/480)*-1?\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*b + p - 4, 20 = -6*b + b - p. Let d be (4 + (-1 - b))\/2. Let s be ((-2)\/4 - 0)*-2. Solve -q = -s + d for q.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -538.271 - -538. Round d to two dps.\nAnswer: -0.27","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 709 minutes after 4:31 AM?\nAnswer: 4:20 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 13280?\nAnswer: 2, 5, 83","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 26 and 91?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (-5)\/3 + 7\/(-21). Let a be ((-6)\/c)\/((-3)\/(-4)). Solve 0 = 4*b + a - 20 for b.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*f + 12, -5*u - 2*f + 3*f - 1 = 0. Let q = u - -3. Let i = 1179 - 1171. What is the greatest common divisor of i and q?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 11*z = 16*z - 155. What are the prime factors of z?\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (-88)\/(-16) - (-6)\/(-4). Suppose -b = 0, -3*b + 68 = f*n - 12. Calculate the remainder when n is divided by 11.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 746439 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let u(c) = -3*c**3 - 12*c**2 + c - 17. Let q(t) = t**3 + 1. Let x(n) = 2*q(n) + u(n). Let z be x(-13). Let w be (147\/z - 1)\/(-1). Which is greater: 1 or w?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:02 AM and 8:18 PM?\nAnswer: 556","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(117) + sqrt(117) + sqrt(117)*1 + sqrt(117))*6)\/sqrt(9) + 4.\nAnswer: 4 + 24*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 1419 + -600. Suppose -4*d + 2575 - z = 0. List the prime factors of d.\nAnswer: 439","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 75437626 a multiple of 3047?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1534*x - 60 = -1524*x for x.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (0 - 1 - 1)*(l + l - l) + 3272 - 3272 - 25*l to k*l + b and give k.\nAnswer: -27","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2282 = 9*y - 239. Let w = y + 304. What is the smallest common multiple of 63 and w?\nAnswer: 693","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(j) = j**2 + 18*j - 9. Let h be z(-17). Let g(o) = 5*o + 1. Let m be g(1). Let u(s) = -2*s + 4. Let t(x) = -9*x + 17. Give h*u(b) + m*t(b).\nAnswer: -2*b - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is 39139734 a multiple of 1102?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Factor -a**2\/3 - 2218*a - 3689643.\nAnswer: -(a + 3327)**2\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -3 - 4*o + 0 + 3.\nAnswer: -4*o","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let t(z) be the third derivative of -239*z**4\/8 - 106*z**3\/3 + 159*z**2. Find the first derivative of t(v) wrt v.\nAnswer: -717","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of -5653, -11285, -16917, -22549?\n\"Answer: -5632*g - 21","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 134914, 269831, 404748, 539665, 674582?\nAnswer: 809499","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify c**(2\/7)*c**(-6)*c**(-5)\/(c\/(c**(-9)*c)) assuming c is positive.\nAnswer: c**(-138\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -189.670251 - -0.034251. Let z = -190 - m. Round z to two dps.\nAnswer: -0.36","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-30)\/(-252)*7*(-3)\/(-2)\nAnswer: 5\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in 5, 4, 1\/7, -5, -2\/3, 3, -668.1?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Convert -6127422 (base 10) to base 11.\nAnswer: -3505694","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let q(j) be the third derivative of 1\/60*j**5 + 11\/6*j**3 + 0 + 3\/8*j**4 + 0*j + j**2. What is the least common multiple of 8 and q(-8)?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 18*l + 19*l - 24*l in the form h*l + s and give h.\nAnswer: 13","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 25\/442 and 53\/12.\nAnswer: 2652","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose m + 4 = -6*f + 5*f, 0 = m. Let t be (-2)\/(-2) - f\/6*-2757. Let z = 22015\/12 + t. Calculate the common denominator of 53\/10 and z.\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1507424?\nAnswer: 2, 17, 163","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*j - 7791100 + 2326420 = -197*j. What is the hundreds digit of j?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many millimeters are there in twenty-five halves of a meter?\nAnswer: 12500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let n(j) = 2*j**2 + j + 2. Let f(c) = -c**2 - 2*c - 1. Let t(p) = -3*f(p) - 2*n(p). Let s be t(3). Is 3 != s?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*f - 3*t = -3, t = 37*f - 38*f + 9 for f.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 88 and 88?\nAnswer: 88","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Round -1931.7217 to the nearest ten.\nAnswer: -1930","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let h(z) = 5*z**2 + 6*z - 6. Let u(b) = 4*b**2 + 5*b - 5. Suppose -3*x + 5*c = -9, -4*x + 5*c + 2 = -10. Let l be (-9)\/(x - 6) + 2. Calculate l*h(s) - 6*u(s).\nAnswer: s**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 0*k + 3*k - 3*k + 8*k - 3*k.\nAnswer: 5*k","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Convert 110100110111110111001111 (base 2) to base 6.\nAnswer: 1213024023","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 595 minutes after 9:11 PM?\nAnswer: 7:06 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (-5)\/(-45)*2\/1. What is the biggest value in -1\/5, u, 1\/2?\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 34*o = 19*o + 90. Suppose o*w = 4*w - 3*r + 49, 0 = 3*w - 4*r - 48. What is the lowest common multiple of w and 295?\nAnswer: 1180","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(p) = 9*p**3 + 4*p**2 + 2*p - 1. Let t be v(-2). Let z = -2\/2889 + -89555\/5778. Let d = z - t. What is the common denominator of d and -61\/12?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(v) = -v - 5. Let o be l(-5). Suppose 0 = -3*w - 3*g + 72, 2*w = -4*g - o*g + 50. What are the prime factors of w?\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(n) = -5*n**3 - 4*n**2 + 2. Let w(o) = 2*o**3 + o**2 - 1. Suppose 589 = -16*q + 557. What is q*s(d) - 7*w(d)?\nAnswer: -4*d**3 + d**2 + 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let j(v) = -3*v**3 - v**2 + 3*v + 11. Let t(q) = -2*q**3 + q + 5. Give -3*j(d) + 7*t(d).\nAnswer: -5*d**3 + 3*d**2 - 2*d + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let l(m) = -m**3 + 15*m**2 - 13*m + 20. Let x be l(14). Suppose -s = -3*s + x. Differentiate s*q**4 + 0 - 16 + 2 with respect to q.\nAnswer: 68*q**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*b - 1 + 61 = 3*g, -5*b = 0. Suppose -q = -4*m - g, -2*q + m - 25 = 6*m. Let u(l) = -1 - 4 + l**2 + 3 + l. What is u(q)?\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 7164?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let q(h) = -15*h**2 + h - 2. Let u be q(-2). Sort u, 0, -2.\nAnswer: u, -2, 0","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -r = 3*j + 8, 9 - 1 = -4*j - 4*r. Calculate the least common multiple of (23\/j - -3)*-3 and 12.\nAnswer: 84","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(b) = 42*b**2 - 7*b - 7. Let x(j) = -j**2 + j + 1. Let f(a) = 14*x(a) + 2*y(a). Let s be f(-8). Round s to the nearest 100.\nAnswer: 4500","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:18 PM and 9:07 AM?\nAnswer: 589","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 246*p**4 - 593910*p**3 + 6*p**2 + 74*p - 73511?\nAnswer: 5904*p - 3563460","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 3042385 to the power of 1\/5, to the nearest integer?\nAnswer: 20","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let c(n) = 21*n - 4. Let a be c(2). Let x = a + -25. Suppose -f - 6 = -q - q, -2*f = q - x. Calculate the remainder when q is divided by 3.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -1 + 4646*a**3 - 4644*a**3 + 1.\nAnswer: 2*a**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (-1 + 3)*8\/16. Let t be 8\/10 - m - 36\/(-5). Solve -u + s = -3*u + t, -4*s = -20 for u.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-8 - -5) + (7 - 1)?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 60 a factor of 247063740?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from wwxvwwvwwwxv. Give prob of picking 3 v.\nAnswer: 1\/220","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let s(k) = k**3 - 9*k**2 + 10*k - 5. Let c be s(8). Let o(g) = -g**3 + 12*g**2 - 15*g + 11. Let i be o(c). Let v = i + 90. What is v rounded to the nearest ten?\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 145 minutes after 3:02 PM?\nAnswer: 5:27 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve m - 5*b = -24, 8*m - 5*b = -17 - 0 for m.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 88 minutes before 12:02 PM?\nAnswer: 10:34 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let p(x) = x**3 - 13*x**2 + 27*x - 4. Let i be p(2). Solve 4*u - 24 = -4*h, -i*u + u + 12 = -h for u.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tenth root of 317670219 to the nearest integer?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 466500 and 4170.\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 166963834 and 94?\nAnswer: 94","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-3 - -13) + 9 + -13 + (-16 - 0).\nAnswer: -10","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 1? (a) 0 (b) -0.3 (c) -4\/41 (d) 3\/26 (e) -36\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let u(b) = 2*b - 4. Let x be u(3). Suppose -3*i = -i + 5*z - 24, 4*z = x*i - 6. Is 7 a factor of i?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p be 0*(2 + -3)\/2. Let s be (p\/(-2) + 0)\/2. Let l = s - -2. Solve 0 = -l*d + 1 + 7 for d.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 h, 1 e, 1 j, and 1 n when four letters picked without replacement from {h: 3, n: 2, e: 3, g: 1, j: 2, r: 4}?\nAnswer: 12\/455","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*s = -s + 4521. What is the hundreds digit of s?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 2403509203?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 3 - 6. Let n be l*(10\/(-3) - -2). Solve 6*o = 4*o + n for o.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 9*a - 5578 = 7*a - d, d = -5*a + 13942. Is a a multiple of 90?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of 2558, 5168, 7730, 10244, 12710?\n\"Answer: -24*h**2 + 2682*h - 100","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 93290015.\nAnswer: 5, 7, 13, 205033","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (-2 - 5) + ((-2392)\/16)\/(-23). Which is the third biggest value? (a) 1 (b) -22\/9 (c) g\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in 2\/707, 1\/30, 0?\nAnswer: 1\/30","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -43 - -259\/6. Let a = 779 + -778.5. What is the nearest to 0.1 in a, d, -4?\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 12 - 2. Let l = -7 + d. Let u(r) = -r**3 + 3*r**2 - 3*r + 4. Determine u(l).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:07 AM and 4:52 PM?\nAnswer: 525","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of -2, -51, -156, -335, -606?\n\"Answer: -3*w**3 - 10*w**2 + 2*w + 9","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify t**(-3\/2)\/(t**22\/t) assuming t is positive.\nAnswer: t**(-45\/2)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 2927680 and 130700.\nAnswer: 14638400","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 202849753?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let a be -2 + (-1)\/(-2 - -1). Let c be a\/(-3 - -5)*0. Which is bigger: -1\/2 or c?\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {p: 7, m: 2}. What is prob of sequence mm?\nAnswer: 1\/36","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 110 - -401. List the prime factors of k.\nAnswer: 7, 73","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (b\/(b*b\/b**(-7)*b))\/(b*b**(-15))*(b**(-12)\/b)**(2\/27) assuming b is positive.\nAnswer: b**(109\/27)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (-4)\/(-10) + (-6)\/(-10). Suppose 0 = 4*i + 4*i + 48. Let g be (0 - i)*(-15)\/(-30). Put 0, y, g in decreasing order.\nAnswer: g, y, 0","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (2\/(-4))\/((-68)\/20). Let h = 1204 - 1203. Which is smaller: h or t?\nAnswer: t","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(t) be the third derivative of t**5\/150 + 151*t**4\/10 + 68403*t**3\/5 - 6*t**2 + 699*t. Factor u(q).\nAnswer: 2*(q + 453)**2\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(k) = -528*k**3 + 187*k**2 - 187*k + 187. Let d(u) = 17*u**3 - 6*u**2 + 6*u - 6. Suppose -w + 4*n = -179, -w = 4*w - n - 933. Determine w*d(j) + 6*m(j).\nAnswer: 11*j**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -216094680 + 380784680. Round o to the nearest one million.\nAnswer: 165000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 8925973*q**5 + 2*q**2 + 70246079*q - 1 wrt q.\nAnswer: 178519460*q**3 + 4","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (-13 - (-7 - -3))*(-372)\/(-279). Let w(g) = -2*g - 49. Give w(s).\nAnswer: -25","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is 667 + 62?\nAnswer: 740","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Expand (1 - 1 - 2*j + (-4*j - j + 0*j)*(4 - 5 + 2))*(-j**3 + 2*j**3 + 0*j**3) - 4*j**4 - 3 + 3 + (-2*j**2 - j + j)*(j**2 - j + j).\nAnswer: -13*j**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1, -13, 8, 297, 1 in decreasing order.\nAnswer: 297, 8, 1, -1, -13","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -18952 + 1434.\nAnswer: -17518","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1 divided by 722.\nAnswer: 1\/722","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 504734 to the power of 1\/2, to the nearest integer?\nAnswer: 710","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Does 17 divide 17206?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is -3 + 12 + (8\/7)\/((-132)\/(-1386))?\nAnswer: 21","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 108 and 396?\nAnswer: 1188","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is -20 + 95 + -43 + -51?\nAnswer: -19","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Convert 807872.4km to micrometers.\nAnswer: 807872400000000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let b(f) = 5*f**3 - 8*f**2 + 3*f + 11. Let n be b(9). Let s = 18095\/6 - n. Find the common denominator of 107\/12 and s.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(x) = -x**2 - x + 341. Determine r(18).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*m + 8 + 224 = -l, 232 = 4*m - 3*l. Let g(h) = m - 28 - 30 - 6*h**2. Let z(c) = -3*c**2. Determine z(g(o)).\nAnswer: -108*o**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -944651*o + 1345350 wrt o?\nAnswer: -944651","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-24 - (-8432)\/352)\/(((-21)\/12)\/(-7))?\nAnswer: -2\/11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let s be 2 - (64\/10)\/4. Which is the second biggest value? (a) s (b) 0.5 (c) 0\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 147406364473 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -8 - (-6 + -8 + 11).\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 56613699941 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of -84673, -84688, -84703, -84718, -84733, -84748?\n\"Answer: -15*g - 84658","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose w + 0 = -3, 0 = -3*c - 3*w. Suppose c*n + 5*n = 24. Suppose 7*t - n*t - 553 = 5*f, -5*t + 689 = -4*f. What is the remainder when t is divided by 14?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine p, given that -15*p**3 - 7458*p**2 - 44667*p\/5 - 13392\/5 = 0.\nAnswer: -496, -3\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 45\/((66\/(-231))\/((-84)\/(-245))).\nAnswer: -54","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -22*f**2\/7 + 2*f + 36\/7 = 0. What is f?\nAnswer: -1, 18\/11","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*j = -5*t + 13 + 102, 3*t - 3*j - 51 = 0. Suppose 2*o - 4*h - t = 0, 4*o = -2*h - h + 51. List the prime factors of o.\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many kilograms are there in 55\/2 of a tonne?\nAnswer: 27500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let l(w) = w**2 - 4*w - 2015. Calculate l(-43).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (-1)\/(-3) + 6\/9. Calculate the remainder when d\/(3\/6) + 12 is divided by 8.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 40*a**3*l**2 + 4*a**3 + a**2*l**3 + 25*a**2*l wrt l.\nAnswer: 80*a**3 + 6*a**2*l","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 0.01087 + -0.01087. Which is the nearest to 2? (a) -2 (b) w (c) -1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 - 4 = -d. List the prime factors of (6 - d)\/((-4)\/(-22)).\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(l) = -300*l + 116729. Calculate u(389).\nAnswer: 29","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 3091 is divided by 1027?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let -96*k**3 + 1000*k**2 - 2308*k + 516 = 0. Calculate k.\nAnswer: 1\/4, 3, 43\/6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 71693.279 rounded to the nearest one hundred?\nAnswer: 71700","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*g + 27 = -8*g + 3*j, 4*g = -2*j - 6 for g.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 122929738?\nAnswer: 2, 1973, 31153","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let b(q) = -q**2 + 4*q + 5. Let m = 3 + 2. Let p be b(m). Let l be (3 + p - -2) + -3. What is the highest common divisor of 3 and l?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:48 PM and 9:13 AM?\nAnswer: 625","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is 178 a factor of 129584?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 24 - 32. Let l(r) = -2*r + 4. Let q(u) = -5*u + 11. Let b be 3 + 0\/(-2) - 0. Determine a*l(x) + b*q(x).\nAnswer: x + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is 6947 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Sort -3\/7, -2, 5, 2\/217 in decreasing order.\nAnswer: 5, 2\/217, -3\/7, -2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -3819, -3835, -3853, -3867, -3871?\nAnswer: -3859","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (4\/(-7))\/((-3003)\/147 - -23). Which is smaller: p or -319?\nAnswer: -319","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 26812208 to the nearest one million.\nAnswer: 27000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.04454 to two dps.\nAnswer: 0.04","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 j and 1 g when three letters picked without replacement from {j: 3, g: 1}?\nAnswer: 3\/4","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is (1\/(-3)*-2)\/((-4)\/(-24))?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Express (-14*h + 14*h + h**3)*(2*h - 3*h + 0*h + (-7 - 11*h + 7)*(-3 + 2 + 2)) as n*h**4 + c + v*h**3 + a*h**2 + g*h and give n.\nAnswer: -12","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let z(r) = -r**3 + 4*r**2 - 3*r + 4. Suppose -4*v - 4 = -5*v. Let l = 3 + -1. Suppose 0 = -0*c - 5*c - y + 19, 0 = v*c - l*y - 18. Determine z(c).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 0.322 - -0.048. Let i = 31.37 - t. Let p = i - 31.145. What is p rounded to 2 decimal places?\nAnswer: -0.15","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(y) = 3*y**2 + 11*y + 5. Does 25 divide l(-7)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*j**4\/15 + 142*j**3\/15 + 10864*j**2\/5.\nAnswer: -2*j**2*(j - 168)*(j + 97)\/15","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Round 2742.225103 to the nearest 100.\nAnswer: 2700","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Sort -989, 2110, 0, -26 in increasing order.\nAnswer: -989, -26, 0, 2110","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 155 and 1193252?\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.116 times -8?\nAnswer: -0.928","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 0 or 1\/2264795?\nAnswer: 1\/2264795","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 12451 - 12448. What is the remainder when 579 is divided by j?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 331 + -308. Suppose -t + 28 = -5*i. Which is greater: -22\/15 or i?\nAnswer: i","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 5241997 is divided by 41603.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 33008 or 33043?\nAnswer: 33008","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -34293, -68598, -102903, -137208?\nAnswer: -171513","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is -775 + 3111?\nAnswer: 2114","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Determine x so that -x**5 - 58699*x**4 - 410835*x**3 + 528235*x**2 + 410836*x - 469536 = 0.\nAnswer: -58692, -8, -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is 105736464 a multiple of 68?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let s(g) = 218*g + 15336. Calculate s(-70).\nAnswer: 76","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 13*v = 16*v - 54. Suppose -2*y + 3*a - 2*a = -v, 5*y - 38 = -a. Suppose y*p - 275 = 3*p. Calculate the highest common divisor of 11 and p.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in -1\/328, -656\/9, 3\/4?\nAnswer: -1\/328","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.00044314 rounded to 4 decimal places?\nAnswer: -0.0004","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve 7*c = -3*t - 74, 43*c + 100*c - 26 = -4*t + 145*c for t.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -51491 = 14*h + 28029. Round h to the nearest one thousand.\nAnswer: -6000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1272 is divided by 51?\nAnswer: 48","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Determine z, given that 2*z**4\/9 - 620*z**3\/9 + 8926*z**2\/9 - 22468*z\/9 + 4720\/3 = 0.\nAnswer: 1, 2, 12, 295","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -1 in -0.06, 3, -12?\nAnswer: -0.06","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Round 39670560 to the nearest 10000.\nAnswer: 39670000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -36145*g**3 + 36073*g**3 - 25*g**2 + 6*g**2 wrt g.\nAnswer: -432","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 2\/3 or -280?\nAnswer: -280","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -5.4 - -5. Let v = -0.193828 + 0.59382775. Let k = v + u. Round k to 7 dps.\nAnswer: -0.0000003","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 20312 is divided by 6770.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve 8*f + 8 = 12*f for f.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: -4*(-15)\/10*(-1)\/(-39)\nAnswer: 2\/13","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is -153 divided by 1?\nAnswer: -153","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 3668 and 4192?\nAnswer: 29344","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 39\/4075 and -67\/978.\nAnswer: 24450","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let o be 1\/((0 + (-4)\/(-12))\/1). Solve -3*r - 9 = -3*k, k + o*k - 2*r - 10 = 0 for k.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 54 - 10. Suppose 0 = 3*w + 32 - b. Solve -14 = -w*z + 2*z - 2*r, -z - 23 = -5*r for z.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is -3 - 665?\nAnswer: -668","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -1? (a) 52 (b) 0 (c) 0.2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0.05 in 0.1, -4, -1, 1?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is 302263 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*y + 12 = -3*g, 5*y - 38 + 14 = 4*g. What is the derivative of 12*b - 6*b - 23*b + y wrt b?\nAnswer: -17","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(d) = -18*d - 3*d**2 - 17 + 6*d**2 + d**3 + 12*d**2. Calculate the remainder when 57 is divided by o(-16).\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*k - 287415*b + 287413*b + 106 = 0, 4*k + 3*b - 152 = 0 for k.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Sort 3, 1, 4, -1 in decreasing order.\nAnswer: 4, 3, 1, -1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let h(j) = -j**3 - 10*j**2 - 9*j - 10. Let x be h(-9). Let g be (12\/x)\/(6\/(-45)). Let d be (4\/(-14))\/(((-30)\/(-6))\/(-140)). Which is bigger: d or g?\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(j) = -j + 10. Let i be t(9). Let g = 3 - i. Let v(d) = d**2 + 3*d - 2. Calculate the lowest common multiple of v(-5) and g.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((sqrt(95) - (sqrt(95) - 1*sqrt(95))*-6)*-3)\/((sqrt(720) - -1*sqrt(720))*-6)*1*6)**2.\nAnswer: 19\/64","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 104 and 1192.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let d be -2 + (3 + -5)*-2. Find the second derivative of 40*b**d - 22*b**2 - 46*b - 32*b**2 wrt b.\nAnswer: -28","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 418?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let r(c) = -c**2 + 11*c - 7. Let h be r(4). Suppose 3*v = h - 6. Suppose -w - 20 = -v*s + s, 0 = 4*s - 16. Put 5, -2, 3, w in descending order.\nAnswer: 5, 3, -2, w","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -140\/852949 > -1?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let j be 96\/(-440) - 2\/11. Do 1 and j have different values?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 471608424?\nAnswer: 2, 3, 7, 17, 19, 2897","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -174 = 2*m + q - 678, 0 = 4*m + 4*q - 1016. Is 50 a factor of m?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:20 AM and 4:32 AM?\nAnswer: 12","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let q(k) = 2*k + 2. Let p be q(-3). Which is the second biggest value? (a) -2 (b) -0.1 (c) p\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 e, 1 s, 1 n, and 1 l when four letters picked without replacement from aesalnsasaanslseln.\nAnswer: 1\/34","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is 9178 a multiple of 24?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1780559 is divided by 45?\nAnswer: 44","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve -172*l + 1171 = 67*l - 502 for l.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) 4 (b) 1412 (c) 2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 300613215 is divided by 302.\nAnswer: 301","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let w be 20\/(-1 + 4 + -2). Suppose -73*a = -69*a + w. What is the biggest value in -3, a, 2?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 3531842339 to the power of 1\/2, to the nearest integer?\nAnswer: 59429","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Does 13 divide 286?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let z(x) = -10*x**2. Let a(f) be the second derivative of -7\/4*f**4 - 3 - 6*f + 0*f**3 + 0*f**2. Give a(z(w)).\nAnswer: -2100*w**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 2854656 and 151040.\nAnswer: 28546560","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -146 - -209. Suppose -10*r + x = -r. Solve r*j - 10*j = 15 for j.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 4488.4 - 4488. Which is the nearest to -6? (a) 24 (b) q (c) -3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 2073 - 1229. Solve 180*d - m - 1022 - 3*d**2 - 834 = 0.\nAnswer: 30","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -103708*q + 207409*q - 103703*q.\nAnswer: -2*q","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth smallest value in 1\/20, -0.3, -1903, -1, 215?\nAnswer: 215","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve l = -1, -2*h = 2*l + 11 - 5 for h.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-w**2 - 1 + 1)*(-1 + 2 + 0)*(3 - 17*w**3 - 5 + 19*w**3).\nAnswer: -2*w**5 + 2*w**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 21476 is divided by 36.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (-4)\/12 - (-14)\/6. Let c = 2 - r. What is the units digit of 6 + c\/3 + -3?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of -20659, -20661, -20689, -20755, -20871, -21049, -21301, -21639?\n\"Answer: -2*l**3 - l**2 + 15*l - 20671","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -42.6 - 0.4. Let o = -40.4 + -7.6. Let u = o - g. What is the second smallest value in 0, -4, u?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 32*s + 95 = 33*s. Suppose 4*y - 17 = -3*h + s, -4*y - 140 = -4*h. Suppose l + 5*l - h = 0. List the prime factors of l.\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -30*w - 5*w - 6650 = 0. Let z = -187 - w. Solve z*d - 20 = 8*d for d.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x be ((-60)\/(-8))\/((-3)\/(-2)). Solve -f = 0, 0 = -4*z - f + x*f for z.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(b) = -351 - 2*b + 351 + 7*b. Let y(c) = -4*c - 5. Let a(r) = -2*r - 3. Let h(k) = 5*a(k) - 3*y(k). Calculate h(n(m)).\nAnswer: 10*m","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let l(b) = 3*b - 12. Let w be l(8). Suppose 5*v = v - w. Does v = 2\/5?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 8811 and 52975737?\nAnswer: 801","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 19486 is divided by 738.\nAnswer: 298","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 6356 is divided by 66?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = t + 4*d - 26, -3 = -2*t - 3*d + 74. List the prime factors of t.\nAnswer: 2, 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u be 10*(36\/(-10) + 4). Let w(q) = 5*q**3 + 5*q**2 - 3*q + 10. Let g(o) = 9*o**3 + 10*o**2 - 6*o + 19. Let d(t) = 6*g(t) - 11*w(t). Determine d(u).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 14156 (base 7) to base 2.\nAnswer: 111100010111","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*s = -4*b - 479700000, -118332707 = -s + 4*b - 22392707. Suppose -12*z = 6*z + s. Round z to the nearest 100000.\nAnswer: -5300000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1739.\nAnswer: 37, 47","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 63 minutes before 4:12 PM?\nAnswer: 3:09 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 11 times 713?\nAnswer: 7843","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*h = 3*x + 5 + 1, 2*h - 10 = -x. Let r(o) = -2*o**3 + 2*o**2 + 2*o - 3. What is r(x)?\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -1? (a) 6010 (b) 0.5 (c) 1\/3 (d) -14\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let v(q) = q + 10. Let n be v(-11). Let l be 45\/(-75) - 13\/(-5). List the prime factors of 41 - 2\/n - l.\nAnswer: 41","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (22\/(-1) - -21)*-7?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -320*q**2 - 4752*q**2 - 2571*q**2.\nAnswer: -7643*q**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let m(l) = l**3 + 7*l**2 - 94*l - 35. Give m(7).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Sort -2588, 0.02, -65, 3, -4, 0.2 in descending order.\nAnswer: 3, 0.2, 0.02, -4, -65, -2588","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -2 - -5. Let v(c) = -c**2 + 3*c + 3. Let k be v(q). What is the closest to 1\/3 in -2, k, -3?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 13895296009 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose m + 2 = f + 2*m, 0 = -2*m + 4. Suppose -3*o + 12 = -f*o. Suppose -9*s + 10 = o*y - 4*s, 0 = -3*y + 3*s - 6. Solve y = -n + 3*n - 6 for n.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1\/4, 1, -2, -5\/2 in ascending order.\nAnswer: -5\/2, -2, 1\/4, 1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose h + 23 = f, 4*f - 34 - 70 = h. What is the remainder when f is divided by 7?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (20\/(-25))\/((369\/(-18))\/(-41)*296\/10)?\nAnswer: -2\/37","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Convert 2d2317 (base 16) to base 7.\nAnswer: 34100131","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 78646 is divided by 19?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -38\/3 + 13. Let a = -2 + 6. Let q be ((-18)\/(-5) - 3)*170\/969. Sort q, m, a in increasing order.\nAnswer: q, m, a","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: 99 divided by -82988\nAnswer: -99\/82988","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (-2)\/(-2) + (-1)\/(-1). What is the tens digit of a\/(2 + 0) - -17?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -33177131 (base 8) to base 10.\nAnswer: -7143001","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in 53, 2\/7, 7, 0.1?\nAnswer: 7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let y be ((-96)\/(-2))\/3 - 1. Suppose 0*d = 3*d - y. Suppose -50*q + 84 = -43*q. Solve -4*t + 3*n = 9, d*t + 5*n = n + q for t.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*c + 28 - 4 = 0. Let b(o) = -o - 6. Calculate b(c).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) 3 (b) 0.2 (c) 0.0827\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 15 - 9. Let p = 11 - d. Solve 3*n - 7 = p for n.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -2*x - 3*x + 3 + 3 + 9 wrt x?\nAnswer: -5","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in 0.5, 0, 18, -15.3, 3\/4?\nAnswer: -15.3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 1290855 = 41*p - 414663. Let h = p - 16663. Is h a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 4\/931 + 40928\/8379. What is the common denominator of -49\/8 and y?\nAnswer: 72","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange y**2 - 196770*y**3 + 196773*y**3 - 51 + 0*y**2 to r*y**2 + h*y + j + a*y**3 and give r.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 99 + (1 - (2 - -9)) - (4 - -10)?\nAnswer: 75","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 1928?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (q**(2\/9)\/(q**6\/q))**(-1\/17)*q**(-1\/10)\/q**2*q**(-1\/2)\/q*q**2 assuming q is positive.\nAnswer: q**(-1009\/765)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let y(k) = 2*k**3 - 35*k**2 + 14*k + 37. Give y(17).\nAnswer: -14","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-22)\/(-286) + 192\/39.\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 9139 - -3987. List the prime factors of m.\nAnswer: 2, 6563","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:00 PM and 3:01 AM?\nAnswer: 661","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let d(v) be the second derivative of -v**5\/10 - 5*v**4\/12 - v**3\/2 - 2*v**2 - 23*v. What is the remainder when 67 is divided by d(-3)?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*v + 17 = 2*d, -305*d = -302*d + v for d.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -3379 divided by -138076.\nAnswer: 3379\/138076","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let q(u) = u. Let o be ((-4)\/6)\/(6\/18). Let a(p) = -p**2. Let z(v) = o*a(v) - 2*q(v). What is the units digit of z(-2)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 2*f*z**3 - 15492*f*z + 1302*z**3 + 4*z**2 + 2*z wrt z.\nAnswer: 12*f*z + 7812*z + 8","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let c be -1 - 3\/12 - -1. What is the nearest to -2\/7 in -0.2, c, -7?\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -1.007 - -0.007. Which is the nearest to -2\/3? (a) -4 (b) 3 (c) q\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 97498?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {i: 2, w: 5}. What is prob of sequence wi?\nAnswer: 5\/21","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*g - 4*k + 5*k + 36 = 0, 3*k = 4*g - 44. Let r = 12 + g. Is r a multiple of 10?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 6\/(-36) + 1188055\/6 + -3 + 7 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 716 - 722. Let f be 62\/s - 67\/(-201). Let h(k) = k**2 + 13*k + 2. Calculate h(f).\nAnswer: -28","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(l) = -26*l. Let s(o) = -51576*o. Give s(w(p)).\nAnswer: 1340976*p","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve -13844 + 826 - 5850 = -212*s for s.\nAnswer: 89","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*y - 4*j + 1 + 7 = 0, 4*j = 2*y + 8. Let n be -5 + (y\/(-4))\/4. Let d = 17 + n. List the prime factors of d.\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: 28150\/(-3378)*(-9)\/(-7)*(-4)\/(-6)\nAnswer: -50\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -115950006*t**3 + 184157261 with respect to t.\nAnswer: -347850018*t**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Sort -2, -146, 3, 4, -4, 1 in decreasing order.\nAnswer: 4, 3, 1, -2, -4, -146","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 51\/34*1\/(-6)?\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 11 - 6. Let l(m) = -6*m**2 + 5 - q. Let x(v) = 4*v. What is x(l(f))?\nAnswer: -24*f**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*q - 8 + 14 = 0. Differentiate 4*s**2 + 20 + 4*s**2 + q*s**2 - 27*s - 12*s**2 wrt s.\nAnswer: -4*s - 27","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out -5 * 0.14.\nAnswer: -0.7","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let z be 2\/4 + 5\/2. Let l = z - 3. Let y be (0\/3)\/(-1 - (3 - 3)). Solve l*p - p - 1 = y for p.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(104)\/(sqrt(72) - 2*sqrt(72)).\nAnswer: -sqrt(13)\/3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*j**4\/5 - 1002*j**3\/5 - 604*j**2 - 2016*j\/5 = 0 for j.\nAnswer: -2, -1, 0, 504","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 58\/10431 and -89\/24.\nAnswer: 83448","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there in 11\/2 of a hour?\nAnswer: 330","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth root of 4 to the nearest integer?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 18692003 or 93460014\/5?\nAnswer: 93460014\/5","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((3\/90)\/((-52)\/(-260)))\/((-1)\/(-114)).\nAnswer: 19","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 634?\nAnswer: 2, 317","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2299470?\nAnswer: 2, 3, 5, 76649","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 92 is divided by 30?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-6)\/(-4))\/((-45)\/60).\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {z: 1, o: 1, h: 1}. What is prob of sequence hz?\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let s(h) = -4*h**3 - 18*h**2 - 6*h - 6. What is the tens digit of s(-7)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) -15\/22 (b) -0.02 (c) 3731\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of -152, -233, -314, -395?\n\"Answer: -81*j - 71","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 32 + -31.8. Which is bigger: t or 39?\nAnswer: 39","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(k) = -28*k**3 + k**2 - 1. Determine d(1).\nAnswer: -28","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Determine s so that -2\/15*s**3 - 2\/15*s**4 - 4\/5 + 14\/15*s**2 + 2\/15*s = 0.\nAnswer: -3, -1, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*u - 2*h = 256, 2*h - 59 + 188 = u. Is u a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: 28b32 (base 13) to base 3\nAnswer: 10220001222","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -2\/5 in -0.2259, -201, -2?\nAnswer: -0.2259","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let u(t) be the second derivative of -t**3\/3 - 34*t + 2. Let q(z) = 8*z**2 + 1. Calculate q(u(m)).\nAnswer: 32*m**2 + 1","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let a be 3 - -2 - 1\/1. Let r be 2 + 12\/18*(1 + 11). Let w = r - a. List the prime factors of w.\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*j = 4*p - 12, 3*j + 12 = 2*p + 2*p for p.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.0002539144695 to five dps.\nAnswer: -0.00025","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(275) + (sqrt(275) - sqrt(275)*-2))*-4 + (sqrt(275) + sqrt(275)*-2)*-3)**2.\nAnswer: 46475","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 16*i**3 - 21*i**3 - 21*i**3.\nAnswer: -26*i**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*x = -151 + 6. Let m = x - -31. Suppose 2*w - 6 = m. Solve u = -5 + w for u.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence bzb when three letters picked without replacement from bmmmhmbhzbzbhbhhbbb.\nAnswer: 56\/2907","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*h + 20 = -2*z, -9*z = -3*z - h - 5. Solve -15*o - 7 + 22 = z for o.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1131857 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 9\/8192 and -19\/16.\nAnswer: 8192","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 153450 and 7150?\nAnswer: 1994850","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: -20850 (base 10) to base 11\nAnswer: -14735","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 1053998?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is 17 + 0?\nAnswer: 17","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let s(t) = -2*t**2 - 3 + 3. Let i(f) be the second derivative of f**4\/4 + 77*f. Give s(i(j)).\nAnswer: -18*j**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is 4\/((-12)\/9)*((-2244886)\/21)\/14 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_test"},"subset":"dm_maths"} +{"text":"Question: Let g be 8\/(-6) - 3\/(-9). Let n be g\/(-5) - (-17)\/15. Let p = -9\/8 + 19\/8. Which is the nearest to -0.2? (a) -5 (b) p (c) n\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -416*t + 561*t = -2755 for t.\nAnswer: -19","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Does 310 divide 16471230?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: 6\/(-4)*4\/6\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) 1163 (b) -0.001 (c) -12\/179\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is 32786395 a multiple of 5?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let a be 4 - (-2 + 1)\/(5 - 6). Let k be (-1)\/((-6)\/(-9))*(-4)\/a. Let f be 0\/(10\/(-5) - k). Solve f*u + u = 0 for u.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -6582 (base 11) in base 3?\nAnswer: -102220112","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-5*(-4*-5*(sqrt(1584) + 0) - -3*sqrt(1584)*6*4))**2.\nAnswer: 335174400","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 484864?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let v(a) = a**3 - a**2 - a + 2. Let l be v(0). Solve -l*i - 2 + 0 = 0 for i.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -4 + 3 - b + b + 9 + 10*b**3.\nAnswer: 10*b**3 + 8","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -1755288, -3510576, -5265864?\nAnswer: -7021152","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 184 - 169 = 5*b. Suppose -6 = -b*r - 3*y, 5*y = -7*r + 6*r - 6. Solve 2*f = -5*a - 2, f + 5*a = 5*f + r for f.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 11 divide 458?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Find q, given that 3*q**2 + 567*q - 496128 = 0.\nAnswer: -512, 323","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Sort -2, 0, 50, 474 in decreasing order.\nAnswer: 474, 50, 0, -2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let i(k) = k**3 - 3*k**2 + 2*k - 2. Let s be i(2). Let r be (-1)\/s*116673\/(-18). Let y = r + 3246. What is the common denominator of y and 37\/6?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(r) = -20*r + 5. Let h be j(-9). Let w = 1293\/7 - h. Let k be (1\/(-5))\/(15\/(-50)). What is the closest to 0 in -1\/2, w, k?\nAnswer: w","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 137.4 + -0.015?\nAnswer: 137.385","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let n(c) = -c**3 + 3*c**2 + 5*c - 3. Let w(g) = 2*g**2 + g + 1. Let i be w(-2). Suppose i - 19 = -3*x. Let r be n(x). Which is greater: 0 or r?\nAnswer: r","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.000843193387 rounded to five decimal places?\nAnswer: 0.00084","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 267456272*b*g + 669978*b + 177 wrt g?\nAnswer: 267456272*b","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -1\/2 in 1\/3, 5, 2, 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 1\/3? (a) -12 (b) 3\/8 (c) -38 (d) -0.3 (e) 10\/7\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 54*y**2 - 30*y**2 + 108*y**2 + 80*y**2.\nAnswer: 212*y**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let h(k) = -k**3 - 10*k**2 - 8*k + 18. Let t be h(-9). Suppose -16 - 20 = -t*l. Calculate the remainder when 10 is divided by l.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of 1006619, 2012371, 3018123?\n\"Answer: 1005752*b + 867","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-9 + -5 + 2)*(-23 - (-1457)\/62).\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*p - z = 4*z + 23, -3*p + 4*z = 0 for p.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 3 + -3. Let o be 6530\/(-6195) + 4\/6. Let z = -6\/59 - o. Is d bigger than z?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify y**(-2\/43)\/((y\/((y**(-30)\/y)\/y))\/y)*y**(-1\/36)\/(y\/y**(-21)) assuming y is positive.\nAnswer: y**(-83707\/1548)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in -1\/61, 3\/13, 12?\nAnswer: 12","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is 1 + -363bdc?\nAnswer: -363bdb","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -9 or 9789?\nAnswer: -9","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -p + 79 = -5*l - 75, -5*p - 3*l = -742. Is p a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 0.06 - -1.94. Let d = -2.1 + h. Let q be -4 - 1\/8*-34. Which is the closest to q? (a) d (b) 1 (c) 0\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {q: 1, z: 1, y: 1, d: 2, p: 1, j: 2}. Give prob of picking 1 d, 2 q, and 1 y.\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {x: 2, r: 1, p: 1, g: 1}. Give prob of picking 1 p and 1 x.\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-10 + 0 - 2)*(f - 2*f - 2*f) + (5 + 8 + 0)*(4*f + 2*f - 5*f).\nAnswer: 49*f","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 51928*m**2*x**5 + 3*m**2*x + 2*m*x + 20929*m - 16*x**5 - 2*x + 4 wrt x?\nAnswer: 1038560*m**2*x**3 - 320*x**3","meta":{"dup_signals":{},"source":"calculus__differentiate_test"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0 in -2\/81, -4, 1\/4?\nAnswer: -2\/81","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is 1512092749 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -1100 - 90 = -5*q. Let k = q - 167. Suppose 3 = k*a - 68*a. Do 4\/9 and a have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 154 - 95. Does 15 divide b?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-20)\/(6\/15*-1*5)?\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -548 - -794. Suppose -4*m + y = -118. Calculate the highest common divisor of m and 13.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x be 0\/(-2) + 1 - -28. Suppose 12*a - 11*a + x = 0. Let p = a + 108. What are the prime factors of p?\nAnswer: 79","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -x = 2*x, x - 3 = -t. Is t > 11\/5?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose y - 220 = -4*y. What is the units digit of y?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -161.2 - -4.2. Let a = 159 + v. Let y = -7.3 + 7. What is the second biggest value in y, 0.04, a?\nAnswer: 0.04","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -32.24 + -33.68. Round s to the nearest 10.\nAnswer: -70","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*u + 4*m = -188, 0 = -4*u + 3*u - 4*m + 52. Calculate the highest common divisor of u and 40.\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {a: 3, c: 1, l: 1}. What is prob of sequence al?\nAnswer: 3\/20","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 134 - 134. Let l = 2.5 + -2.4. Which is the closest to l? (a) -13\/3 (b) -2 (c) y (d) 0.3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Subtract -1.5 from -182.\nAnswer: -180.5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 2672.5308 minutes in hours?\nAnswer: 44.54218","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let f be 4 + 2 + -3 + 1. Suppose f*y = -y. Differentiate y*m + 2 + m + 0 wrt m.\nAnswer: 1","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor l**3\/2 + 162623*l**2\/2 - 975765*l\/2 + 1463661\/2.\nAnswer: (l - 3)**2*(l + 162629)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 765*g**3 - 2*g**4 - 387*g**3 + 2 + 119*g**2 + 2 - 377*g**3 to b*g + r*g**3 + a + v*g**4 + j*g**2 and give v.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_test"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -60 or -61?\nAnswer: -61","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Convert 0.5747115 hours to seconds.\nAnswer: 2068.9614","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-a - a + a + a - a + a + (0 + 0 - 2)*(-2*a + 1 - 1))*(-2 + 3 + 3).\nAnswer: 16*a","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 607968 a multiple of 32?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -31*c - 4310 - 51025. Is -1785 at most as big as c?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_test"},"subset":"dm_maths"} +{"text":"Question: Let w = -51201820478\/3031 - -16892715. Let p = w + 2\/433. Let j = -0.12 - -0.02. Sort j, -0.5, p in descending order.\nAnswer: j, p, -0.5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (54*r + 41*r - 30*r)*(r + 2*r - r)*(-11 + 1 + 15) + (3*r + 6 - 6)*(r - 2*r - r) to g*r + v*r**2 + t and give v.\nAnswer: 644","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 1894 and 1135453?\nAnswer: 947","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-3 + 2 + 0)*(-129864106 - 24265*a + 129864106) to c*a + r and give c.\nAnswer: 24265","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (2\/(-8))\/(-2 + 5 - 2). Let k(o) = o + 9. Let t be k(-6). Suppose t*d + 4 = d, -d = -2*m - 2. Which is greater: z or m?\nAnswer: z","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(c) = -4*c. Let w be (-2 + -2)\/((-14)\/21). Let v(o) = -5*o + 8*o - w*o. What is v(r(i))?\nAnswer: 12*i","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0*i + 3*i - 4*i)*(-4 - 1 + 0)*(21 + 8 - 38).\nAnswer: -45*i","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let y(u) = -u + 7. Let b be y(2). Suppose b*s - 4*t - 355 = 58, 0 = 5*s - t - 407. Is 27 a factor of s?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (11*-33)\/(-1 + 0). Suppose -3*d + 270 = -k. Is d composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(k) be the first derivative of -k**3 - 4*k - 3\/2*k**2 - 2 + 1\/4*k**4. Let l be a(4). Solve -z - b = 6, l*b + 2*b + 6 = z for z.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 31558 - 1026. List the prime factors of g.\nAnswer: 2, 17, 449","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x be 44\/2 - (4 + -1). Suppose -x - 15 = -2*c. List the prime factors of c.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of -1459, -2919, -4379, -5839?\n\"Answer: -1460*f + 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let r(j) be the second derivative of -j**5\/20 - 5*j**4\/6 - 3*j**3\/2 + 2*j**2 - 5*j. Let w be r(-9). Solve -5*m - w = -m for m.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 3763851451?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0? (a) 3168 (b) 481 (c) 9\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let h(j) be the first derivative of 34*j**2 + 59\/3*j**3 + 0*j + 55. What is the second derivative of h(t) wrt t?\nAnswer: 118","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 341 a factor of 1566308139?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let a be ((-164)\/40 + 4)*(-5)\/3. Which is bigger: 2\/11 or a?\nAnswer: 2\/11","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 50 divide 361706431?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is 752950\/2 + 187 + -199 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (3\/4)\/(13\/(-52)). Let a be 1 + 2 - m\/3. Suppose -124 = -4*r - a*v, -6*r = -2*r + 5*v - 128. Is 27 a factor of r?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -422 in -2, -76, 0.2, 1\/8, 5?\nAnswer: -76","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*w + 8 = h, 2*w - 13 = -4*h + 7 for w.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -25.03 + 24.73. Put 3\/5, 1, l, -7, 3 in ascending order.\nAnswer: -7, l, 3\/5, 1, 3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 23 divide 830550068?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -110*y - 22*y = 36*y - 107352. What is the greatest common factor of 72 and y?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*f**2 - 112404*f + 112408 = 0. Calculate f.\nAnswer: -28102, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -3*r + 5*z + 100, -7*r + 2539*z = 2543*z + 80 for r.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -41 = -3*g - 0*g + 5*w, 3*w + 39 = 3*g. Suppose -i = 2*i - g. Let q = 3 - -2. Is i equal to q?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(h) = h**3 + 16*h**2 - 19*h + 41. Give t(-17).\nAnswer: 75","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -103 + 91 = -4*h. Suppose g - h = -0. Suppose 5*x = 2*r + 515, g*x + 0*r - 5*r = 290. What are the prime factors of x?\nAnswer: 3, 5, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 5080, 20332, 45752, 81340, 127096?\nAnswer: 183020","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 1519 to the nearest integer?\nAnswer: 39","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: -15 (base 14) to base 8\nAnswer: -23","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Convert 0.900896 litres to millilitres.\nAnswer: 900.896","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Round -156570870 to the nearest one million.\nAnswer: -157000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 4081144800?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth root of 168131832 to the nearest integer?\nAnswer: 23","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 40687*z**2 + 7623.\nAnswer: 81374*z","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 3*(sqrt(1053) + 2)**2 + 6*(sqrt(1053) + 1) + 5.\nAnswer: 162*sqrt(13) + 3182","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 454 minutes after 4:42 AM?\nAnswer: 12:16 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: 3 - (-11 - (-12 + 0 - -4 - -3)) - 66\nAnswer: -57","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of 240, 230, 220, 210?\n\"Answer: -10*j + 250","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let f(a) = 3*a**2 + a. Let k(y) = 3*y**2 + 2*y. Let o(d) = 4*f(d) - k(d). Let z(j) = -10*j**2 - 3*j. Calculate 3*o(u) + 2*z(u).\nAnswer: 7*u**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*i + 0*i = 8. Let t(s) = -2*s - i*s + 2 - 2. Let y(g) = 4*g**2. Give t(y(l)).\nAnswer: -16*l**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is 677065948 a multiple of 95?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is 66227 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 3355439?\nAnswer: 3355439","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 4\/(-10) + (-364)\/(-35) and 1?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is 2 - 705605155?\nAnswer: -705605153","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(77) - (sqrt(77) - (sqrt(77) - sqrt(77)*3*-1)) - sqrt(77))*-6)\/(sqrt(1008) - 2*sqrt(1008)*-4).\nAnswer: -sqrt(11)\/6","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is v in -4*v**4\/9 + 4792*v**3\/9 + 1292096*v**2\/9 + 856600*v\/3 + 142500 = 0?\nAnswer: -225, -1, 1425","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-3094)\/385 - -8)\/((-126)\/(-462)).\nAnswer: -2\/15","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: (-18)\/(-90)*((-25)\/6)\/(-5)\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 14 + 28. What is the remainder when i is divided by -8*((-132)\/40)\/(12\/10)?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1664038?\nAnswer: 2, 37, 113, 199","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (22\/(-363)*-11)\/(2\/(-12)).\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*s**2\/13 - 31972*s\/13 + 127776098\/13.\nAnswer: 2*(s - 7993)**2\/13","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is 5501733983 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let w(g) = g**2. Let j(m) be the second derivative of m**4\/4 - 14*m. Determine w(j(u)).\nAnswer: 9*u**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Expand -24 + 9*r**3 + 23 - 2*r**3 + (-1 - 3 + 3)*(2*r**3 - 2*r**3 + r**3).\nAnswer: 6*r**3 - 1","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 3*sqrt(35)\/(-4*sqrt(7)*3)*-3.\nAnswer: 3*sqrt(5)\/4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-4)\/((-352)\/(-12)))\/(315\/420)?\nAnswer: -2\/11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of -28, -319, -610, -901?\n\"Answer: -291*j + 263","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 61192721 less than 61192724?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let o(q) = 27*q - 569. What is the least common multiple of o(23) and 4?\nAnswer: 52","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 47\/2 and 34\/39*(-13)\/((-156)\/(-45)).\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine r so that 24*r**3 - 1678*r**2 + 29260*r + 2450 = 0.\nAnswer: -1\/12, 35","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence kk when two letters picked without replacement from kbcccccjkcccccgkcj.\nAnswer: 1\/51","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -2\/4970731 or 1?\nAnswer: -2\/4970731","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Total of -5130248779.308 and -0.9.\nAnswer: -5130248780.208","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let q be 15\/(-10) + -619*(-6)\/(-12). Let w = q - -464. Is w a multiple of 9?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from vtttttttttvv. What is prob of picking 1 v and 1 t?\nAnswer: 9\/22","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*i - q = i + 497, -4*i + 2*q = -666. Let l = -7 + i. Is l prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 60 divide 83226?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ko when two letters picked without replacement from ybobko.\nAnswer: 1\/15","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*d + 2*f - 14 = 0, -4*d - 3*f + 1 = -16. Calculate the lowest common multiple of 22 + (4 - (d + 2)) and 18.\nAnswer: 198","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1\/5 of a decade in months?\nAnswer: 24","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 1737927778 to the nearest integer?\nAnswer: 41688","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 q, 1 c, and 1 b when three letters picked without replacement from {q: 2, g: 2, s: 2, c: 3, b: 2, y: 1}.\nAnswer: 3\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Determine i, given that -i**3 - 868*i**2 + 6992*i - 14016 = 0.\nAnswer: -876, 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between -578 and 67?\nAnswer: 645","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-2 + -4 + -2*sqrt(68))*6)**2.\nAnswer: 1728*sqrt(17) + 11088","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 49461203?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -1557.9 - -1574. What is the smallest value in -2\/5, t, 0.5?\nAnswer: -2\/5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 4, 64, -12, -284, -812, -1656, -2876, -4532?\nAnswer: -6684","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 677 minutes after 8:41 AM?\nAnswer: 7:58 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {c: 2, p: 6, z: 1, a: 2, n: 1, t: 3}. Give prob of picking 1 n and 1 a.\nAnswer: 2\/105","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -1908605*m**5 - 438600*m**2 wrt m?\nAnswer: -114516300*m**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Expand -2*u**3 + 0*u**3 + 4*u**3 + 5*u**3 - 4*u**3 + u**3 + (-6 + 4 + 1)*(-4*u**3 + 0*u**3 + 2*u**3) + u + 2*u**3 - u + 7*u**3 - 13*u**3 + 5*u**3 - 3*u.\nAnswer: 7*u**3 - 3*u","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 20 + -14. Let f(s) = -s**2 + 6*s - 1. Let z be f(p). What is the closest to z in 2\/3, -1, 1\/5?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 77.6475 millilitres to litres.\nAnswer: 0.0776475","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 14 + 7. Let s = k + -10. Let u = -9 + s. Is u a multiple of 2?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*g + 110 - 1286 = 0. Is 5 a factor of g?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -4.394, 1\/6, -0.1 in increasing order.\nAnswer: -4.394, -0.1, 1\/6","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is 1134012123 - 13?\nAnswer: 1134012110","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 e when two letters picked without replacement from {v: 1, u: 3, e: 3}?\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is -136 less than 2\/13?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let w(g) = 20*g + 0 - 4*g - 2. Suppose 2*z + 13 = 17. List the prime factors of w(z).\nAnswer: 2, 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence zzdg when four letters picked without replacement from {z: 2, d: 1, g: 1, e: 1, k: 1, a: 1}.\nAnswer: 1\/420","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-2 + sqrt(175) + 2 + sqrt(175) - (-2*sqrt(63) + -5)**2)*3.\nAnswer: -831 - 150*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (28\/((-672)\/(-2340)))\/(695\/556).\nAnswer: 78","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 93849.6897 + 8.3103. Let v = p + -93944.997. Let i = v + 87. What is i rounded to 2 dps?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 139, 281, 437, 613, 815, 1049, 1321?\nAnswer: 1637","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 13 + -19. Let s be v\/((-1)\/1) - 2. Let -u**s + 4*u**4 + 12*u**3 + 3 + 12*u + 18*u**2 + 0*u**4 = 0. Calculate u.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(z) = -z**2 + 10. Let k be y(5). Let h be (-61000)\/(2\/(-1)) - (15 + k). Round h to the nearest one thousand.\nAnswer: 31000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(r) = r**2 - 7*r - 5. Let c be f(6). Let z = 23 + c. What are the prime factors of z?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 0, -37, -96, -177, -280, -405?\nAnswer: -552","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 458 and 5.\nAnswer: 2290","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -16\/7*s + 0 + 1\/7*s**2 = 0. What is s?\nAnswer: 0, 16","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -3*1\/((-5)\/(-5)).\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 501947 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 504*d + 990*d + 34*d - 102*d.\nAnswer: 1426*d","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let x(c) = -c - 7. Let j be x(-12). Suppose 0 = j*f - 0*f + 20. Let b(i) = i**3 + 6*i**2 + i + 4. Is b(f) a multiple of 8?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 5*((((sqrt(117) + -1)*-3 - sqrt(117)) + sqrt(117) + 3)**2 + 5)*5.\nAnswer: -2700*sqrt(13) + 27350","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (o*o**5\/o)**(9\/5) assuming o is positive.\nAnswer: o**9","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Convert 252 (base 10) to base 9.\nAnswer: 310","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -25 + 36. Let v = g - 3. Suppose 2*b - v = -2*b. Solve 0 = a - b*a + 4 for a.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 13.18 - 16.68. Which is greater: 1 or z?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 1 - 35*w**3 - 2 - 149*w**3.\nAnswer: -184*w**3 - 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve -113*a - 44 = 182 for a.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -397 - 4025*g**3 - 4010*g**3 - g + 8037*g**3 to the form r*g**2 + p + v*g**3 + f*g and give f.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 2 + 0. Solve 2 + 8 = l*a for a.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 50, 91, 110, 95, 34, -85?\nAnswer: -274","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -3? (a) 8\/9 (b) -47 (c) 3676\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Sum 0.24 and 22154872587.18.\nAnswer: 22154872587.42","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 55233795?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let u(i) = i - 1 + 5*i - 4. Suppose 69*l = 70*l - 5. Let s(z) = -7*z + 6. Calculate l*u(v) + 4*s(v).\nAnswer: 2*v - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 4164 is divided by 116.\nAnswer: 104","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 173 divided by 334.\nAnswer: 173\/334","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let p(q) be the second derivative of 13*q**5\/20 - q**4\/12 - q**3\/6 + q**2\/2 - 55*q. Calculate p(1).\nAnswer: 12","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 16 = n + 13 for n.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let u(z) = z**3 - 8*z**2 - 10*z + 13. What is the lowest common multiple of 198 and u(9)?\nAnswer: 396","meta":{"dup_signals":{},"source":"numbers__lcm_composed_test"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of b**4*z**2 + 3*b**4 - 52327*b**3*z**3 + b**2 - 26534*b*z + z**3 + 2*z wrt b?\nAnswer: 24*b*z**2 + 72*b - 313962*z**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let r be 4\/22 - 607684\/121. Let y = -45478\/9 - r. Let p = -31 - y. Which is the second biggest value? (a) 0.4 (b) -0.07 (c) p\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 6 = 3*a - 5*a for a.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1221.\nAnswer: 3, 11, 37","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 2202033 (base 4) in base 6?\nAnswer: 120023","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 211310.\nAnswer: 2, 5, 11, 17, 113","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let p(m) = m**3 + m**2 - m - 1. Let z(t) = t**3 + 9*t**2 - 7*t - 10. Let y(j) = 2*p(j) - z(j). Let r be y(6). Solve 3*s + 4*u = -r - 15, 0 = s + 2*u + 9 for s.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 3.26 - 6.26. Put -33, b, 2\/13 in descending order.\nAnswer: 2\/13, b, -33","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 35 divided by -7628?\nAnswer: -35\/7628","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is -9*(-3)\/27*-5?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let w(t) = -3*t + 15. Let x be w(4). Let n(i) = 1 - 7 + 8 - 2*i - i**x. Let d be n(0). Solve 3*k - 6 = -r, k = d*k - 3*r - 2 for k.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(l) = l**2 + l + 1. Let x(p) = 10*p**2 + 18*p + 14. Let s(k) = -12*f(k) + x(k). Let w be s(3). Factor 0*z + 3\/2 - 3*z**w + 3\/2*z**4 + 0*z**3.\nAnswer: 3*(z - 1)**2*(z + 1)**2\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 30\/(-4)*(3\/63)\/(590\/(-708))?\nAnswer: 3\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:57 AM and 8:31 AM?\nAnswer: 154","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Sort -10\/409, -3, -0.21, 0.5, -0.94 in increasing order.\nAnswer: -3, -0.94, -0.21, -10\/409, 0.5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*o - 25 = 19. Let y be o\/7 - 11\/(-77). Is -1 - (-35 + (-6 - y)) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(s) = -s**3 - 10*s**2 - 5*s - 10. What is the units digit of w(-10)?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (w*w*(w\/(w**27\/w))\/w)\/w*w**(-20)\/w assuming w is positive.\nAnswer: w**(-46)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let i(n) be the second derivative of n**3\/3 - 25*n**2\/2 + n + 6. Let r be i(18). Sort r, -8, 0.\nAnswer: -8, 0, r","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: 8 divided by -1394\nAnswer: -4\/697","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve a - g = -22, 621*a + g - 17 = 617*a for a.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -0.1? (a) -4 (b) 4 (c) -1\/5 (d) -0.94\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -3 - -1 - (3 + -10 - -9)?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 g and 1 s when two letters picked without replacement from sgcggggkgggv.\nAnswer: 4\/33","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: -32594510 - -9\nAnswer: -32594501","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*c - 2*p + 46 = 0, 0 = 43*c - 47*c - p - 55 for c.\nAnswer: -13","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let r(a) = a**2 - 2*a + 2. Let f be r(2). Let c be (43 - 1) + 0 + -1. Factor 2*n + c*n**2 - 44*n**f - 2*n - 3*n**3.\nAnswer: -3*n**2*(n + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-61 - -37 - -2) + (-13 - -2)?\nAnswer: -33","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 1117 = 20*h + 157. What is the smallest common multiple of h and 30?\nAnswer: 240","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*x = 10*w + 63, -4*w = -2*x + 5*x + 1 + 18 + 8 for w.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {n: 5, o: 7, l: 1}. What is prob of picking 3 n and 1 o?\nAnswer: 14\/143","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0.1 in -1\/4, 120, -0.1073, -0.01?\nAnswer: -0.01","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Put -4, 26, 5, 2, 4 in decreasing order.\nAnswer: 26, 5, 4, 2, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 11 and 5488.\nAnswer: 60368","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -2790070 or -2790071?\nAnswer: -2790071","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -26*g**5 + 12*g**5 - 1 + 1 + 5*g wrt g?\nAnswer: -280*g**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 129083926?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -55*u**2 + 39*u**2 - 53*u**2 + 3652*u - 3652*u + 65*u**2.\nAnswer: -4*u**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (-32 - -1) + (-305251)\/(-8767). Factor k + 2\/11*m**2 - 4*m.\nAnswer: 2*(m - 21)*(m - 1)\/11","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is -2 - 680274?\nAnswer: -680276","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence wtw when three letters picked without replacement from wobrbet.\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 2.5? (a) -0.06 (b) 97 (c) 0.4 (d) 206\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 4931?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is 18 a factor of (-2)\/9*(6 + -2265)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 33 - 33.00000141. What is s rounded to 7 decimal places?\nAnswer: -0.0000014","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(u) be the second derivative of u**4\/2 - u**3\/2 - 11*u**2\/2 - 23*u. What is the remainder when p(-3) is divided by (-36)\/(-4)*(-2)\/(-1)?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:50 PM and 2:13 AM?\nAnswer: 203","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -109006*q*v**3 + 4690*q*v**2 - v**2 wrt v.\nAnswer: -654036*q","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -5654*f + 5689*f - 560 for f.\nAnswer: 16","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 2610 + -1287. Let p = 2039 - n. What is the units digit of p?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -2\/7? (a) 3\/4 (b) -0.3 (c) 0.04 (d) -4\/47\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is -2\/7 less than -312?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is 17450201519 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Express -248 - 205*p - 885*p + 248 as s + n*p and give n.\nAnswer: -1090","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of 2025, 2092, 2161, 2232?\n\"Answer: t**2 + 64*t + 1960","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 470 minutes before 1:50 PM?\nAnswer: 6:00 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -0.1 in -2, -1, -3?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 2057202.88 rounded to the nearest one hundred thousand?\nAnswer: 2100000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is (2\/4)\/(((-7)\/399)\/((-52)\/(-78)))?\nAnswer: -19","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*o + 536 = -0*o. Calculate the remainder when o is divided by 15 + 14 + 32 + -27.\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ninth root of 1146569 to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 435000 rounded to the nearest one hundred thousand?\nAnswer: 400000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let s be ((-15)\/35)\/(3\/(-21)). Suppose 36 = s*b - 681. Is b prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(u) be the first derivative of -3*u**2\/2 - 13*u - 170. Determine l(-7).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -2.8 - 0.2. Let b = a + 2. Suppose 4*y - 6 + 31 = -5*o, 0 = 2*o + 10. What is the closest to y in b, 5, -2?\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(h) = -h**2 + 15*h - 15. Let p(v) = -36*v - 526. Let q be p(-15). What is d(q)?\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 134166*k**3*s + 5*k**3 - 18*k**2*s + 5242*k**2 - 10*k*s wrt k?\nAnswer: 804996*s + 30","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (4 - 0)*(-25)\/(-4). Suppose 4*i + 4*a = -j + 5, 0 = -5*i + 3*a - 17. Sort i, 1, -1 in descending order.\nAnswer: 1, -1, i","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 2390486087 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Sort 8, 0, -0.06, -8, 24, 2, -4 in decreasing order.\nAnswer: 24, 8, 2, 0, -0.06, -4, -8","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 257287 - 257286.5002544. Let p = -1.99025261 - k. Let r = p + 2.49. What is r rounded to seven decimal places?\nAnswer: 0.0000018","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(z) be the third derivative of z**6\/120 + z**5\/60 + z**3\/2 - z**2. Let l be g(0). Suppose 1 = -2*i + l. What is the remainder when 1 is divided by i?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 83*a - 10*a + 3*a + 35*a + 4107 for a.\nAnswer: -37","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 3*-643048.9.\nAnswer: -1929146.7","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(1584) + sqrt(1584)*2 + sqrt(1584) + -5 + sqrt(88)\/(2*sqrt(8)) + (sqrt(121)*-2)\/sqrt(11).\nAnswer: -5 + 93*sqrt(11)\/2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -30 + 58. Suppose 3*i - 7*i = -y. Calculate the remainder when i is divided by 2.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*n + 1 = n. Let i be ((-10)\/(-4))\/(n\/2). Suppose 4*c + 4699995 = i*c - 5*r, -5*r = c - 4700005. Round c to the nearest 1000000.\nAnswer: 5000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*h = 1 + 79. Let r(f) = f**3 - 11*f**2 + 5*f - 13. Suppose 0 = -0*i + 2*i - 22. Calculate the lowest common multiple of h and r(i).\nAnswer: 336","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -2 + 3\/3 - -6?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 16 + 22. Suppose t = -3*i - 4*p, 2*p - 5 = -3*p. Let k = -5 - i. What are the prime factors of k?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*q - 3681 = 6479. Is (-3)\/((-15)\/q) - 2 a multiple of 70?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (g*g*g\/g**1)**(-48)\/(g*g**(2\/21)\/g)**18 assuming g is positive.\nAnswer: g**(-684\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of -2274, -9111, -20510, -36471, -56994, -82079, -111726?\n\"Answer: -2281*c**2 + 6*c + 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) -0.32 (b) -4 (c) -0.1 (d) 0.4 (e) -12\/7 (f) -0.0425\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((x\/(x**(4\/3)*x*x)*x)\/x)\/x*x*x*x*(x*x\/x**(2\/7))\/x*x*x)\/(x**(-12\/5))**(-45) assuming x is positive.\nAnswer: x**(-2218\/21)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is 893516027 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is 13 a factor of 1100?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 3010*t - 2395*t for t.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let s(b) = -b**2 + 12*b + 269. Give s(-11).\nAnswer: 16","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 21 - 14 - 82\/12.\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(q) = -q - 11. Determine y(-10).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 9944.\nAnswer: 2, 11, 113","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let x(y) = 68*y - 4. Let t be x(3). Suppose t = 3*f + 2*f. Let l = f + 13. Is l a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -340.244 - -340. Let z = 0.2440844 + i. Round z to six decimal places.\nAnswer: 0.000084","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*x**4 + 81*x**3 + 300*x**2 - 2268*x + 2640 = 0.\nAnswer: -20, -11, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 33 - 163\/5. Let j = 7.6 + -7. Let c = -0.3 + j. Sort 0.5, c, v in descending order.\nAnswer: 0.5, v, c","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2 - 8 = -2*l - 609*x + 615*x, 3*l - 9 = -4*x for l.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: -0.280169+0.0648\nAnswer: -0.215369","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*d - 4 = 4*d. What is the common denominator of d\/(-18) - 43\/18 and -2\/5?\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 27178 is divided by 394.\nAnswer: 386","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve 69*j - 505 = -29 + 76 for j.\nAnswer: 8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (21\/6 + 3)*4. Suppose -1 = d, -3*r - d = -13 - 19. Suppose 0 = u - v - r. What is the tens digit of u?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 3*m**4 - 531*m**3 - m + 3697 with respect to m.\nAnswer: 12*m**3 - 1593*m**2 - 1","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Factor 4*x**5 + 316*x**4 + 8712*x**3 + 93400*x**2 + 272500*x + 187500.\nAnswer: 4*(x + 1)*(x + 3)*(x + 25)**3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: -0.02 * -0.06918\nAnswer: 0.0013836","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is 1615370687 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {m: 4, v: 9, s: 6}. What is prob of sequence mmmv?\nAnswer: 3\/1292","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Sort 3, -4, 0, -2, -24834 in decreasing order.\nAnswer: 3, 0, -2, -4, -24834","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:31 PM and 1:00 AM?\nAnswer: 89","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -34 + 31. Put u, 3, -2, 0 in ascending order.\nAnswer: u, -2, 0, 3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -72300, -289688, -652158, -1159710, -1812344, -2610060?\nAnswer: -3552858","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*o - 6 = -4. Suppose 0*h - 5*h = -10. Let i = h - o. What is the remainder when 2 is divided by i?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*u + 2*a + 5734 = 132, 2*u - 5*a = 5602. Differentiate 0*k**2 - 3*k**2 - u*k - 59 + 2804*k wrt k.\nAnswer: -6*k + 3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*o - 25 = 5. Does 4 divide o?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 886 + -886. Suppose -p = 3*c + 5, -c + 4*p - 6 = -l*p. Let s = -34 - -236\/7. Sort s, 4, c in ascending order.\nAnswer: c, s, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (8\/(-7))\/((-4)\/(-28)*-1). Suppose -r*j - 2*q = -13*j + 629, -5*q - 620 = -5*j. Calculate the remainder when j is divided by 8.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out -0.0183 * 0.003341.\nAnswer: -0.0000611403","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) -0.2 (b) -4\/19 (c) 1.5 (d) 0.5 (e) -6\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let x(c) = c**2 + 2*c - 2. Let j = -13 - -16. Suppose -j*l - l = 4*d + 28, -2*l - 14 = d. Is x(l) a multiple of 9?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: -10 times -14333\nAnswer: 143330","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 4.735571399 rounded to 1 dp?\nAnswer: 4.7","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence tp when two letters picked without replacement from ppppppppppptptpt.\nAnswer: 13\/80","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 6549 + -6544. Suppose 6*n + 12 = 2*n. Sort n, 3, v.\nAnswer: n, 3, v","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.10372629 times -0.32?\nAnswer: -0.0331924128","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 0.54 - -22.76. Let i = 19.3 - f. Put 0.2, 2\/79, i in increasing order.\nAnswer: i, 2\/79, 0.2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(h) = -h**3 + 3*h**2 - 3. Let v be d(3). Which is the smallest value? (a) -11 (b) -1 (c) v\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (2 - 1)*(4\/(-1))\/(-1). Let r(n) = 15*n + 11*n - m*n. Let k(f) = -2*f**2. Give r(k(j)).\nAnswer: -44*j**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -84*a + 81*a + 12 for a.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let v(g) be the second derivative of -25 - 5\/3*g**3 - 1\/6*g**4 - 4*g**2 + g. Determine q, given that v(q) = 0.\nAnswer: -4, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 623984 by -118.\nAnswer: -5288","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 41121422 is divided by 648?\nAnswer: 638","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let x(p) be the third derivative of 5*p**8\/336 - p**7\/14 + p**6\/12 + p**5\/6 - 5*p**4\/8 + 5*p**3\/6 - 7*p**2. Suppose x(m) = 0. Calculate m.\nAnswer: -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(h) be the first derivative of -h**6\/120 + h**5\/30 + h**4\/3 + h**2 + 15*h - 49. Let k(b) be the second derivative of r(b). Factor k(z).\nAnswer: -z*(z - 4)*(z + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 71450 is divided by 52.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*u**4\/17 + 20*u**3\/17 - 56*u**2\/17 + 48*u\/17.\nAnswer: -2*u*(u - 6)*(u - 2)**2\/17","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1126*f + 454*f + 18532 + 7991 = -8421 for f.\nAnswer: 52","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -25 - ((54 - -15) + -3 + 1 - -10).\nAnswer: -102","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*y + 5*o + 7 = 0, y - 3*o + 16 = -7*o for y.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve h**5\/2 - 433*h**4\/2 + 2955*h**3 - 9238*h**2 + 8380*h = 0.\nAnswer: 0, 2, 10, 419","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*c - 506 + 58. Let x = -116 + c. Let u be 13\/x + (-1 - -5). What is the fourth biggest value in 2\/7, 4, -12, u?\nAnswer: -12","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(g) be the first derivative of g**4\/4 + 2*g**3\/3 - g**2 + 3*g - 1. Let s be o(-3). Round s to 3 dps.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 26 + -29. Let q = -112 - -118. What is the nearest to -1 in 0.1, g, q?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 50.47313 + 0.58587. Let y = -51 + v. What is y rounded to 2 decimal places?\nAnswer: 0.06","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 268 = 32*n + 375 + 565 for n.\nAnswer: -21","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 5083990 to the nearest integer?\nAnswer: 172","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose c = 36 + 34. Calculate the remainder when c is divided by 18.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*b = 4*b - 3*b. Suppose b = -3*w + c + 1147, -w - 4*c + 222 = -143. Let m = w - 238. Calculate the highest common divisor of 13 and m.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*c + 3*d - 1778, -2*c + 55*d + 1770 = 54*d. What is the hundreds digit of c?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -17281 at most -328341\/19?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose g - 1 = 17. Suppose 0 = 2*i + 4*f - 2 - 4, f - 9 = -2*i. What is the remainder when g is divided by i?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of -706, -2715, -6022, -10627, -16530?\n\"Answer: -649*z**2 - 62*z + 5","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -32 + 22. Let i be 2\/(-5) + (-24)\/k. Let d = -2 + i. Is -2\/3 bigger than d?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(m) = m. Let y(n) = 3*n + 1. Let b(p) = -10*w(p) + 2*y(p). Let l be -4*1\/(-2 + 0). What is b(l)?\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -1 in 0.209, 257, -2, 57?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let z(i) = -11*i**3 + 9*i**2 + 5*i - 2. Let n(o) = -8*o**3 + 8*o**2 + 5*o - 2. Let w(f) = -4*n(f) + 3*z(f). What is w(-4)?\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(u) be the second derivative of 0 + 23*u + 22\/3*u**3 - 29\/2*u**2. What is the first derivative of p(v) wrt v?\nAnswer: 44","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -1427, -2850, -4273, -5696?\nAnswer: -7119","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let g(n) = 26*n**2 - 14. Let p(a) = -6*a**2 + 0*a**2 - 71*a + 71*a + 3*a**2. Determine g(p(r)).\nAnswer: 234*r**4 - 14","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is 2 - d0?\nAnswer: -cc","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -9*((-26)\/72*-3)\/(1164\/(-1552)).\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of -277, -650, -1023, -1396?\n\"Answer: -373*l + 96","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*m - 2*g + 2 = m, -5*m - 3*g = -1. Suppose -144 = -m*h - 2*o - 56, 0 = 2*h + 3*o - 90. What is the units digit of h?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 605120077 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ug when two letters picked without replacement from guuugg?\nAnswer: 3\/10","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Sort 5, -0.0892, -0.4, -2 in descending order.\nAnswer: 5, -0.0892, -0.4, -2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Expand r**3 - r**3 + 3*r**3 + (-r - 2 + 2)*(-10*r**2 + r**2 + 73*r**2).\nAnswer: -61*r**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 13473 and 3?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 7398 = -411308*t + 410897*t for t.\nAnswer: -18","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 1011639*h - 2023277*h + 1011638*h - 14*h**3.\nAnswer: -14*h**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Expand 2*t**3 - 4*t**3 + t**2 - 3*t + t + (-44*t - 5469 + 18*t + 5467)*(-5*t**2 + 5*t**2 + 2*t**2).\nAnswer: -54*t**3 - 3*t**2 - 2*t","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*w - 10 = r + 2, -3*w = -3*r - 90. Let k be (6 + r)\/(-1*1). Let b = -348 - -537. Calculate the highest common divisor of k and b.\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5296*f + 1128 = 5272*f for f.\nAnswer: -47","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let g(w) = -3 - 4*w**2 + 2*w**2 + 7*w**2 - 3 + 8*w**3 + 6*w. Let y(s) = -15*s**3 - 9*s**2 - 11*s + 11. Give 11*g(t) + 6*y(t).\nAnswer: -2*t**3 + t**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is 0.3 at most as big as 5.23?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((280\/(-20))\/7)\/(-2)?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand 7 + 9*l**2 - 7 + l**2 - 2*l**2 + 3*l**2 - l**2 + 2*l**2 + 2*l**2 + (4*l - 4*l + l)*(-2*l - l + 2*l) - l**2 + 3*l**2 - l**2.\nAnswer: 14*l**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let k(a) = 3*a**2 + 21*a + 37. Let p(f) = 4*f**2 + 22*f + 36. Let z(o) = 3*k(o) - 2*p(o). What is the first derivative of z(x) wrt x?\nAnswer: 2*x + 19","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -f = y - 24, 13 = 2*f - y - 29. Suppose -25 = -25*l + 75. Solve i = -2*x + 6*x - 23, 2*x = l*i + f for i.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -5, 3, 8, 0 in ascending order.\nAnswer: -5, 0, 3, 8","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 0.2 and 5960.\nAnswer: 1192","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -215 + 303. Let y = -145 + m. Let b = -62.2 - y. Round b to the nearest integer.\nAnswer: -5","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 20904.\nAnswer: 2, 3, 13, 67","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -87078 - -55468698\/637. Let c = -138193\/1911 - n. Are c and -72 nonequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(t) = -t**3 + 5*t**2 - 10*t + 16. Let k be l(3). Solve -m + 2*q - 3 = 0, -k*m + 3*q + 0 + 3 = 0 for m.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((s\/(s\/(s*(s*s*s\/(s**(1\/7)*s)*s)\/s)))**(-16))**(-1\/2) assuming s is positive.\nAnswer: s**(160\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -1689 - -1690.21. Round x to two decimal places.\nAnswer: 1.21","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -0.34, -5, 1\/602 in ascending order.\nAnswer: -5, -0.34, 1\/602","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is c in 2*c**2 - 1928*c + 464648 = 0?\nAnswer: 482","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (135 - 30*u - 135 + (138 - 223 - 11)*(-2*u + 4 - 4))*(2 - 2 - u) to the form f*u**2 + t*u + h and give f.\nAnswer: -162","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-85 - -129) + -52 + (37 - -1).\nAnswer: 30","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: -1654488 divided by -37602\nAnswer: 44","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -26.1 and 12.05?\nAnswer: -314.505","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between -4.3 and 41.16685163?\nAnswer: 45.46685163","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let a(t) = -4*t**2 - 3*t - 2. Let v(j) = -j**2 + 2*j + 6. Let i(o) = o**2 - 1. Let g(r) = 4*i(r) + v(r). Give -2*a(b) - 3*g(b).\nAnswer: -b**2 - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let c(j) = 45*j. Let d(h) = h**2. What is c(d(g))?\nAnswer: 45*g**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Round 32929.16705 to the nearest one thousand.\nAnswer: 33000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 17 + -6. Let l = q + 10. Is 12 a factor of l?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many weeks are there in 239741.208 minutes?\nAnswer: 23.78385","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let f(d) = 7*d**3 - 20*d**2 - 287*d - 14. What is f(8)?\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let o(f) = -f + 5. Let x be o(0). Suppose 4*r - 7 - x = 0. List the prime factors of 1*6\/r*9.\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 7*u**2 + 5*u**4 + 5*u**5 + 3*u**4 - 8*u**4 wrt u?\nAnswer: 300*u**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 10254119 by -1.\nAnswer: -10254119","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 1086283390?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 24464.22 + -24464. Which is smaller: -4.2 or a?\nAnswer: -4.2","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) 0.01 (b) -0.3 (c) -0.9 (d) 29\/2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -246*d**5*y + 2*d**4*y**2 - 17*d*y**2 - 18*d*y wrt d.\nAnswer: -4920*d**3*y + 24*d**2*y**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Divide -6 by 350333.\nAnswer: -6\/350333","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 1237 divided by -2?\nAnswer: -1237\/2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -148 - (2 + -98) - (3 - 46).\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let g(v) = 4*v + 4. Let u be g(10). Calculate the highest common factor of u and 12.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*f + 4*l + 63 = 2*l, 0 = 2*f - 5*l - 53. Is 1\/(-2) + f\/2 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(y) = y**3 - 8*y**2 + 7*y - 9. What is d(7)?\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is 2286283 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (-6)\/26 - (-406)\/182. Factor 2*n + y*n**2 + 0 - 3\/2*n**3.\nAnswer: -n*(n - 2)*(3*n + 2)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -5*a*o**3 + 591971*a*o**2 + 7*a*o + 8*a + 2*o - 9102 wrt o?\nAnswer: -30*a*o + 1183942*a","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0.3*0.074.\nAnswer: 0.0222","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is 1 greater than 152\/37?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -5? (a) -4 (b) 7 (c) -297805\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.133398605 rounded to 3 decimal places?\nAnswer: 0.133","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let w(q) = 3*q - 4. Let t be (-216)\/22 + 8\/(-44). Let c = t + 5. Let m(n) = -n + 2. Determine c*m(r) - 2*w(r).\nAnswer: -r - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -5968.3321 - -5969. What is n rounded to 1 dp?\nAnswer: 0.7","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -23 (base 4) in base 6?\nAnswer: -15","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.0025648839 rounded to five decimal places?\nAnswer: -0.00256","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let j(o) = -10*o**2 - 261*o - 21. Let h be j(-26). Solve -a - 4*s + 13 = -2, -h*a + 5*s = 0 for a.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 n and 1 j when two letters picked without replacement from jmmmnmvnmn.\nAnswer: 1\/15","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -71 - -20. Let s = f - -50.999939. What is s rounded to 5 decimal places?\nAnswer: -0.00006","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v be ((-20)\/24)\/(1 - 121\/123). Let c = v + 405\/8. Let q = 4 - 4. Is c at least q?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -0.112 + -6.588. Round u to the nearest integer.\nAnswer: -7","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 6*((sqrt(396) - (1 + sqrt(396)))*6 + (1 + sqrt(396))*1) + ((5*(-1 + sqrt(11)) + 3 + 0)*-4)**2.\nAnswer: -284*sqrt(11) + 4434","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -15 + 25. Solve 3*w + 4 = a for w.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (-9)\/1*(-2)\/6. Suppose 4*i = -o - 1, -i - 1 = -5*c. Let g be ((0 - -1) + 2)\/((-2)\/(-2)). Solve -3*z - 3*u = -c*z - g, 2*z = 4*u + 8 for z.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*r - 16 = -v, -3*v + 7*r - 8*r = 0. Does v = 2\/59?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 6.4 or -0.07747?\nAnswer: 6.4","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let y be -6*(-4)\/(-64)*-8. Suppose -5*d - 5*t + 10 = -0, 0 = -y*d + 5*t - 10. Which is greater: 0.1 or d?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -5096*i**4 + 16*i**3 - 794364*i**2 wrt i?\nAnswer: -122304*i + 96","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is 140 - 7?\nAnswer: 133","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {k: 5, t: 3, w: 3, i: 1}. Give prob of picking 2 k and 1 w.\nAnswer: 3\/22","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let p be 0*1\/(-1 + 2). Let u(c) = -c**2 + 36*c - 191. Let y be u(43). Let s = y + 494. Solve -g + p = -s for g.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:49 AM and 3:41 PM?\nAnswer: 292","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Put 2, 0, 1, 9240 in decreasing order.\nAnswer: 9240, 2, 1, 0","meta":{"dup_signals":{},"source":"comparison__sort_test"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence uuu when three letters picked without replacement from muuumumumu?\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*q + 0*q = 9. Let v(o) = -18*o**q + 14*o**3 + o - 2*o. Suppose -9*d + 4*d - 5 = 0. Give v(d).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1828 is divided by 83?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let d(g) = 11*g + 9*g - 10*g. Let a(j) = -j**2. Give a(d(f)).\nAnswer: -100*f**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 4289569795 to the nearest integer?\nAnswer: 1625","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve 9*p + 3*p + c + 101 - 10 = 0, 16*c - 343 = p - 834 for p.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth root of 4317 to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let f(k) = 569*k**2 + 51*k - 51. Determine f(1).\nAnswer: 569","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is -3 - -202317105?\nAnswer: 202317102","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -g - 30*g**3 - 769 + 11*g**3 + 10*g**3 - 2*g + 7*g**3 to j + n*g**2 + c*g + k*g**3 and give j.\nAnswer: -769","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve -14576 = -39*q - 12704 for q.\nAnswer: 48","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 6802 - 6786.00142. Let r = s + -16. Round r to 4 dps.\nAnswer: -0.0014","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(800)\/sqrt(10) + 1*sqrt(5)*-1 - ((1 + sqrt(125))*-2 + -1)**2.\nAnswer: -509 - 57*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 832580.\nAnswer: 2, 5, 7, 19, 313","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is 2819 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -870*l**3*m**2*q - 5*l**3*m*q - 3003*l**3 + 2*l**2*m**2 - 2*l**2*m + l*m**2*q - 3*l*m**2 - 11100*l*m*q - 2*l + 2*m**2*q wrt l?\nAnswer: -5220*m**2*q - 30*m*q - 18018","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -1\/4 in -2\/19, 12, 4\/5, -0.1?\nAnswer: -2\/19","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 23\/66 and 79\/216?\nAnswer: 2376","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0.04 in 12\/23, -0.05, -2\/29, -0.3?\nAnswer: -0.05","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 5231765?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is -5 - 9db?\nAnswer: -a02","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 12664220.\nAnswer: 2, 5, 211, 3001","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (x*x*((x*x**(-7))\/x)\/x*x*x\/(x\/(x**(-2)\/x)))**(-50) assuming x is positive.\nAnswer: x**400","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: 12\/14*(-2023)\/(-867)\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 5*f**2*p**2 + 1922076*f**2 + 2*f*p - 2*f - 25394*p wrt p?\nAnswer: 10*f**2*p + 2*f - 25394","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let s(o) = -4*o. Suppose 4 = -4*w - 4*t, 6 = 4*w - t + 3*t. Let u = 0 + w. Let n(b) = -6*b**2 + b**2 + u*b**2. Determine s(n(r)).\nAnswer: 4*r**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 69704395 to the power of 1\/3, to the nearest integer?\nAnswer: 412","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_test"},"subset":"dm_maths"} +{"text":"Question: Let g(w) = -9*w**2 + 5*w + 5. Let m(h) = 65*h + 29*h - 10*h - 154*h**2 + 84. Let v(k) = 84*g(k) - 5*m(k). Let u(i) = i**2. Determine v(u(s)).\nAnswer: 14*s**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 10555481*q**4 - 45*q**3 - 2839793*q**2 - q - 62 wrt q?\nAnswer: 253331544*q - 270","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) 0 (b) 36 (c) 0.5 (d) -691 (e) -3 (f) -2\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let o(k) be the third derivative of 5\/18*k**3 + 1\/12*k**5 + 0 - 1\/18*k**6 + 0*k - 2\/63*k**7 - 12*k**2 + 5\/18*k**4. What is b in o(b) = 0?\nAnswer: -1, -1\/2, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 0.95 - -101.05. Let q = -94 + i. Which is the nearest to 0? (a) -0.5 (b) 1\/5 (c) q\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c be -1*-1*4 - 0. Suppose -4*q = 4*i - 61 + 13, 2*q - c*i = 0. Solve -5*h + q*f = 3*f + 20, -5*h + 3*f = 16 for h.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 99587.8 millennia to decades.\nAnswer: 9958780","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 1256.195 - 1254. What is k rounded to 0 decimal places?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(n) = 40*n. Let z(d) = -82*d + 508 + 3*d - 508. Calculate b(z(a)).\nAnswer: -3160*a","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let m(j) = -2*j**3 - 83*j**2 - 40*j + 45. Let r be m(-41). Solve -4*y - 25 = 5*o, 5*o = -r*y + y - 20 for y.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence dyy when three letters picked without replacement from dddyddyyyydddyyddyyd.\nAnswer: 11\/95","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (98 - 104) + 0 + (6 - -7 - -1).\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is (-4910451)\/(-637) + (-2)\/28*-4 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 14210732 and 7?\nAnswer: 99475124","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Round -2721518.41 to the nearest 1000000.\nAnswer: -3000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 2244 and 1964622.\nAnswer: 3929244","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 71469, 71473, 71481, 71493, 71509, 71529?\nAnswer: 71553","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*w = -4*b - w + 32, -3*b = -3*w - 24. Suppose 0 = 2*p + 6, -q + 2*q - p - 5 = 0. What is the lowest common multiple of q and b?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from ntctrtnnenrnedt. What is prob of sequence endr?\nAnswer: 1\/1638","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 693 and 20713.\nAnswer: 77","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 6 + 2 + (4 - 7).\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let d(w) = 5*w**2 - 14*w + 11. Let n(m) = 14*m**2 - 41*m + 32. Let k(y) = -17*d(y) + 6*n(y). Let u be k(-8). Solve -4*q + 4*p = 3*p + 7, -u*q = -5*p - 10 for q.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: 1*28*(-78)\/(-24)*8\/(-104)\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-8)\/(-12))\/(((-4)\/(-430))\/(-2*(-48)\/(-160)))?\nAnswer: -43","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.4789445861 rounded to 3 decimal places?\nAnswer: 0.479","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -1085 - -1090. Suppose 1 = -3*w - 5*y, i*w + 10 - 35 = 5*y. Let j(v) = -36*v + 36. Let a(s) = 7*s - 7. Let t(o) = -16*a(o) - 3*j(o). Calculate t(w).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.0000009261 to 7 decimal places.\nAnswer: -0.0000009","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 3042 to the power of 1\/4, to the nearest integer?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is -273400 rounded to the nearest 100000?\nAnswer: -300000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let c(u) be the first derivative of u**5\/5 - u**3\/3 - 8*u + 5. Let x(o) be the first derivative of c(o). Calculate the remainder when x(2) is divided by 8.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*w - 19 = a, 3*w = -5*a - 1 - 9 for a.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -5152, -5121, -5090, -5059?\nAnswer: -5028","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let n(h) = -h**2 - 5*h - 1. Let z be n(-5). Let d = 129 + -131. Let r = 9 + -4. Which is the nearest to z? (a) r (b) d (c) -1\/4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 0.096471 - 0.097. Round w to five dps.\nAnswer: -0.00053","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 295 minutes after 4:38 PM?\nAnswer: 9:33 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let k be 78 + 3 + (-15)\/(-1 - -4). Suppose k = 4*b - 0*b. What is the greatest common divisor of b and 133?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.947501 rounded to 3 decimal places?\nAnswer: 0.948","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 75, 123, 123, 51, -117, -405, -837?\nAnswer: -1437","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 37\/588 and 17\/432?\nAnswer: 21168","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between -0.0558505 and 90?\nAnswer: 90.0558505","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the billions digit of 2838258157?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.716203 to 2 dps.\nAnswer: -0.72","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 382697*v**3 - 265715*v wrt v?\nAnswer: 2296182*v","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 57 - 53. Let n(g) = g + 3. Let d be n(x). Solve -4*k + y = -0*y + d, 5*k = 3*y for k.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 5517 to the nearest integer?\nAnswer: 74","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 502892 is divided by 62.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1270*r - 414 = -1281*r + 2597*r for r.\nAnswer: -9","meta":{"dup_signals":{},"source":"algebra__linear_1d_test"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -2763 in -460, -4, 0.1?\nAnswer: -460","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 6 + 7. Let m(t) = -2*t**3 - 4*t - 1. Let v(p) = 4*p**3 + 9*p + 2. Determine n*m(d) + 6*v(d).\nAnswer: -2*d**3 + 2*d - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let v(f) = -f. Let w be (-8)\/(-36) - 102\/(-27). Let c be 14\/35 + 8\/5. Let i(p) = -5*p - w*p + c*p + 8*p. Give i(v(h)).\nAnswer: -h","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 2\/115 or -0.17?\nAnswer: 2\/115","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2 = 11*l - 42 for l.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7*r + 2*r = -10. Solve -w - r = 2*h, 5*h = -2*w - 5 - 1 for w.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -3*n**2 - 27*n - 8*n + 29*n.\nAnswer: -3*n**2 - 6*n","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {c: 3, w: 2, r: 7}. What is prob of sequence rww?\nAnswer: 7\/660","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve d**2\/9 - 29968*d\/9 + 224520256\/9 = 0 for d.\nAnswer: 14984","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 14809720 and 255?\nAnswer: 85","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(72)\/sqrt(4)*5*3*-6)\/(sqrt(150)*-2 - ((sqrt(30)\/(sqrt(30)\/sqrt(6)) - sqrt(6)) + sqrt(6))))**2.\nAnswer: 24300\/121","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 2*sqrt(45) + 5.\nAnswer: 5 + 6*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (4\/(-21))\/(14\/(-21)). Sort 0.1, -0.8, c.\nAnswer: -0.8, 0.1, c","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -84 + 171\/2. Let h(y) = -5*y**2 + 37*y - 5. Let g be h(6). Suppose -g*f + 24 = -45*f. Put 11, -3\/4, f, s in increasing order.\nAnswer: f, -3\/4, s, 11","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(d) = -111*d + 82*d + 99*d - 103. Is l(19) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out -72142 - 3.4.\nAnswer: -72145.4","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Expand -y**4 + y**4 - y**5 + (-5*y**3 + 4*y**3 - 6*y**3)*(-3*y**2 + 4*y**2 + 0*y**2) + y**5 - 8*y**3 + 8*y**3.\nAnswer: -7*y**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -12*f - 22 = -23*f. Solve -s + 23 = 4*x, s = -4*s - f*x + 25 for s.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 13\/7 of a week in minutes?\nAnswer: 18720","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let n(o) = 6*o. Let r(q) = -8 + q**2 + 3 + 5. Give r(n(f)).\nAnswer: 36*f**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Round 31877.4897 to the nearest 10.\nAnswer: 31880","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Express -3*j**4 + 0*j**3 - 2*j**3 + 2*j + 3*j - 3*j as r + b*j**3 + o*j**2 + i*j**4 + g*j and give i.\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -r - 4*z + 7, -2*r - 25*r - 3*z - 102 = -15*r - 3*r for r.\nAnswer: -13","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 143.34 + -141. Let z = l - 96.34. Let f = 94.47 + z. What is f rounded to 1 decimal place?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*k + 3\/2*k**2 + 0 + 3\/2*k**3 = 0 for k.\nAnswer: -2, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from cdgccgdldgddleggd. Give prob of picking 1 d and 1 c.\nAnswer: 9\/68","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-3)\/(-8))\/(-27 - 274629\/(-10168))?\nAnswer: 41","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of 40, -53, -298, -767, -1532, -2665, -4238?\n\"Answer: -12*c**3 - 4*c**2 + 3*c + 53","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*v**3 + 48*v**2 - 102*v + 52 = 0 for v.\nAnswer: -26, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 3769 + 14712. Is w composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_test"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*j - 8 = 2. Let w(i) = i**2 - 14*i + 6. Let d be w(14). Let n be (-1 - -1)\/((-12)\/d). Solve -h + 3 - j = n for h.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 g and 1 w when three letters picked without replacement from ggojwgw.\nAnswer: 6\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve -31*n = -147*n - 1624 for n.\nAnswer: -14","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let o(a) = -a**2 + 5*a + 378. Let r be o(-16). Solve 19*b - r = 5*b for b.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 15\/(1080\/(-36))*26.\nAnswer: -13","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let s(d) = 7*d - 22. Let t(l) = 31*l**2 - 4. Determine s(t(y)).\nAnswer: 217*y**2 - 50","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 448.1755856 plus 0.2?\nAnswer: 448.3755856","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 9 - (3 - 4) - (8 - 10)?\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve -32*x + 114 = 402 for x.\nAnswer: -9","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 84 and 168?\nAnswer: 168","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: -0.1 + -0.05699686\nAnswer: -0.15699686","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is -219.0307689 rounded to zero dps?\nAnswer: -219","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3 = z + 3*q, -4*z + 2*q + 2*q = -60. Is (2\/3)\/(z\/162) a multiple of 2?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(f) = f**2 + 6*f - 162. Let j be c(12). Solve 12*r - j = 6 for r.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -222121122021 (base 3) to base 14.\nAnswer: -d8cc8","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -3\/2? (a) -62 (b) -2 (c) 0 (d) 1 (e) -52\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is 4533 < 4539?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 0.3 + 3.7. Let o = 39.075 - 43. Let y = d + o. Round y to 2 decimal places.\nAnswer: 0.08","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Are 773580\/289 and 2677 unequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of 348525, 1394158, 3136879, 5576688, 8713585, 12547570, 17078643?\n\"Answer: 348544*p**2 + p - 20","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let n(x) = -7*x. Let r(k) = -120552*k. What is r(n(v))?\nAnswer: 843864*v","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 471130 is divided by 3002.\nAnswer: 2818","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 458 is divided by 245?\nAnswer: 213","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let d(n) be the first derivative of n**4\/4 - n**2 + 1904. Let p(c) = c**3 + c. Determine -3*d(v) - 6*p(v).\nAnswer: -9*v**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 682915513?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -10573\/6 + 4419491\/2508. Find the common denominator of -43\/55 and c.\nAnswer: 12540","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (-v + 7*v**2 - 2*v + v)*(-4399*v + 8268*v - 4705*v)*(-1 + 0 + 3) in the form w*v + c*v**3 + z*v**2 + q and give c.\nAnswer: -11704","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-2)\/(7\/(35\/(-2)))*626\/7825.\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is 40917a - b?\nAnswer: 40916d","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is 3 + -2 + (-272)\/(-4) a multiple of 23?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(u) = u**2 - u - 4. Let g be q(4). Let j(b) = b - 3. Calculate j(g).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 467*a = -206*a + 13460 for a.\nAnswer: 20","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(300) - (2 + sqrt(300))) + (4 + sqrt(12))*6)**2.\nAnswer: 528*sqrt(3) + 916","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let c(g) = -2*g**2 + g - 5. Let b(z) = z**2 - z + 5. Let x(k) = -3*b(k) - 2*c(k). Let j be x(-6). Suppose -7 = -4*p + j. What is the units digit of p?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 j and 3 i when four letters picked without replacement from {j: 2, i: 4}?\nAnswer: 8\/15","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Convert -1000 (base 2) to base 4.\nAnswer: -20","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 375 is divided by 178.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 661 minutes after 10:22 AM?\nAnswer: 9:23 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) -2 (b) 0.7 (c) 0.1 (d) 114 (e) -3 (f) 4\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is -1 + 391?\nAnswer: 390","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let w(y) = -2*y**3 + 49*y**2 - 14*y - 244. Calculate w(24).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 2559049 and 9.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 9 + -9.04. Let c = -13.04 - z. Is c at least as big as 0?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 5, -3, -0.1, -8\/7 in ascending order.\nAnswer: -3, -8\/7, -0.1, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let b(g) = 2*g**3 - 3*g**2 - 7*g + 10. Calculate the remainder when 23 is divided by b(3).\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 100\/(-40)*(-356)\/10?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 1139*n**3 + 7067*n**3 - 8200*n**3.\nAnswer: 6*n**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.0001329 to 5 dps.\nAnswer: 0.00013","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let c(r) = -2*r + 53. Let b(i) = -14*i - 33. Let p(g) = 5*g + 12. Suppose a = -4*h - 15, -a + 3*h + 0*h = 8. Let v(x) = a*p(x) - 4*b(x). Determine c(v(j)).\nAnswer: -2*j + 53","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let m(t) = -t. Let v be m(-2). Suppose -3*h - 20 = -5*h. Suppose 0 = -7*c + v*c + h. Solve -3*k + 5*k = 4*x - 8, -8 = c*k for x.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (8\/(-18))\/((3\/(-18))\/((-120)\/(-1760)))?\nAnswer: 2\/11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 99 = f - 0*f + z, -389 = -4*f - 5*z. Is f a multiple of 37?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (-4)\/(-2) - (-2 - 6). Suppose 6 + z*g + 66*g**2 + 28*g + 16*g**3 + 2*g**3 = 0. What is g?\nAnswer: -3, -1\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(a) = a**2 - 23*a + 1408. What is p(0)?\nAnswer: 1408","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Subtract 187704 from -11.\nAnswer: -187715","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 2 + -2. Let q be -3 + 5 + 22\/(-2). Let u = -6 - q. Put u, 2, s in ascending order.\nAnswer: s, 2, u","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*p - 0*p - 4*l - 8, 4*l + 4 = 2*p. Solve p*w = j - w + 26, 2*j = -4*w + 18 for j.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -629*u**3 + 3 + 2 - 3.\nAnswer: -629*u**3 + 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (y*y**4*y**(-1\/4))\/(y**3\/(y*y\/y**(-1\/11)))*(y*y**1)**20*y**(-2\/11)\/((((y\/((y**(2\/11)\/y)\/y))\/y*y)\/y)\/y) assuming y is positive.\nAnswer: y**(1885\/44)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 6026 or 6025?\nAnswer: 6026","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 145 minutes after 6:39 PM?\nAnswer: 9:04 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*z - 2 = 2*k, -6*k + 4*z - 22 = -11*k. Suppose c - 16 = -k*d + 24, -d = -c - 20. Suppose -4*q + 5*q = d. What are the prime factors of q?\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(i) = -i - 5. Let z(f) = -5*f**2 + 2*f - 1. Let l(r) = 13*r**2 - 5*r + 2. Let o(y) = 3*l(y) + 8*z(y). Let h(x) = o(x) - t(x). What is h(3)?\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: (7 + (-3157)\/492)\/(116\/(-24) + 5)\nAnswer: 7\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -1334 + 1334.5. What is the fourth smallest value in -0.5, -2\/17, t, 3.6?\nAnswer: 3.6","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (n*n**(-2\/21))\/(n**5\/n) assuming n is positive.\nAnswer: n**(-65\/21)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve 14*s**2 + 117202*s\/5 + 537648\/5 = 0 for s.\nAnswer: -11688\/7, -23\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 11043, 22090, 33137, 44184?\nAnswer: 55231","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is w in -3*w**2\/2 - 335625*w - 5369616 = 0?\nAnswer: -223734, -16","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let t(l) be the third derivative of -3767*l**7\/70 - 9187*l**3\/6 + 181*l**2 - l - 15. Differentiate t(o) with respect to o.\nAnswer: -45204*o**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 2838, 22565, 76056, 180177, 351794, 607773, 964980, 1440281?\nAnswer: 2050542","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 7529 divided by 5?\nAnswer: 7529\/5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*c + 60*f - 57*f = 69, -3*f - 57 = -c. What is the highest common factor of c and 70?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 3 y when three letters picked without replacement from zzzsyyyyszszzzyz.\nAnswer: 1\/56","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 4 h when four letters picked without replacement from hhhhhhh.\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 3 + -1. Suppose d + g = 3. Let r be d\/5*(-5)\/(-6). What is the second biggest value in 1, r, -3\/5?\nAnswer: r","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -0.9 - 1.1. Let h = -293\/574 - -3\/287. Let n = 0.8 + 4.2. What is the nearest to -0.4 in n, k, h?\nAnswer: h","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*h = -2*v + 40, 393*v - 388*v + 24 = 3*h. Solve o - h*o = -42 for o.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0 in 4\/9, 0, -0.5, -0.3?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify p**9\/p**(-12\/5) assuming p is positive.\nAnswer: p**(57\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*r - 5*d = 215, 2*d = -4*r + 4*d + 168. Calculate the remainder when r is divided by 17.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is -18427 + -80?\nAnswer: -184a7","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let h be 23\/(-115) - (-6)\/5. Let o be h*172 + -53 + 49. What is the highest common divisor of 40 and o?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(k) = 3*k - 4. Let b be u(4). Find the common denominator of (-4)\/(-10)*(-226)\/b and 384\/27*2\/(-4).\nAnswer: 90","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*d - 149474 = -j - 149485, -4*j + 0 - 24 = 3*d for j.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let m(o) = -212*o**2 + 2324*o + 62. What is m(11)?\nAnswer: -26","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 14 in -3\/2, 1, 5?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = y - 327 - 217. What are the prime factors of y?\nAnswer: 2, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 51 and 1581.\nAnswer: 51","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is -232030233 - 203?\nAnswer: -232031102","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 0.72266595 and 0.25?\nAnswer: 0.1806664875","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Expand -3*w**2 - 2*w**4 + 3*w**2 + (6*w**2 + 4*w**2 - 13*w**2)*(-2*w**2 - 3*w**2 - w**2) + 4*w**4 + w**4 + 0*w**4.\nAnswer: 21*w**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 37\/1749 and -9\/220?\nAnswer: 34980","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between -1674657114753 and 78?\nAnswer: 1674657114831","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3 + 3 + 7)*(-3*r + 5*r - r).\nAnswer: 7*r","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 44959 at least as big as 44957?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 78 and 72.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (6\/(-84))\/(2\/(-8)). Put b, 0.04, -0.4, -4 in ascending order.\nAnswer: -4, -0.4, 0.04, b","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -r + 3*r - 6. Let y(p) = 16*p - 6*p + r*p. Does 13 divide y(4)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r be 2\/8*(48*1)\/4. Let z(w) = -7 - w + r + 4. Suppose c = 2*m + 2*c - 4, 16 = -m + 4*c. Calculate z(m).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 969\/2 <= 0?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let r(q) = -6*q - 6. Determine r(7).\nAnswer: -48","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is 55438721 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in 0.2, 1\/3, 0, -2\/31?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -16127 + 16123. Sort 15, 4, 19, k.\nAnswer: k, 4, 15, 19","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 6*i + 1562320 + 16*i - 1562320.\nAnswer: 22*i","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let i(k) = 5*k**2 - 6*k - 40. Let l be i(-6). Calculate the common denominator of l\/4*(4\/2)\/(-18) and -7\/3.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 780386938?\nAnswer: 2, 17, 22952557","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let n(f) = -2*f - 7. Let w(k) = -k**3 - 6*k**2 + 6*k - 1. Let c be w(-7). Suppose -5*h + 4*h - c = 0. Let z(i) = -2*i - 6. Give h*n(o) + 7*z(o).\nAnswer: -2*o","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -r + 6*r - 20 = 0. Suppose 0 = r*u - 2*t - 78, -t + 19 = 3*u - 52. Suppose 2*i - u = 4*j, 3*j = 1 - 13. What is the third biggest value in -0.2, 3\/7, i?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*k - 58 = -2*f, -56 = -3*k - f - 3. Suppose -5*g - 1 + k = 0. Is 14\/g*(-87)\/(-2) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -2*(-15)\/(-72)*(-6)\/(-20).\nAnswer: -1\/8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*x - 2*w = 0, 0 = -2*x + 3*x - 2*w + 4. Suppose x*o - 1 = 7. Let y be (-10)\/6 - 29\/(-3). Solve -c - 6 = 4*a + y, o*c + a - 4 = 0 for c.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sum 0.4 and 387553085.\nAnswer: 387553085.4","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*q - 5*x = -119, -q + 6*x + 27 = 2*x. What is the greatest common factor of 235 and q?\nAnswer: 47","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of -143, -57, 89, 295?\n\"Answer: 30*w**2 - 4*w - 169","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*r = -36 - 12. Suppose -16 + 12 = -2*n. Let a be (n\/3)\/(56\/r + -4). Which is smaller: a or -1\/125?\nAnswer: -1\/125","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 g, 1 c, and 1 q when three letters picked without replacement from dddqcggqd?\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((p\/(p*p\/p**(9\/2)*p)*p**(-6))**(-48))**(2\/29) assuming p is positive.\nAnswer: p**(336\/29)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 4\/62949053 or 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: -3 (base 16) to base 3\nAnswer: -10","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 964091 smaller than 964099?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -4038*d**3 - 294*d**2 - 2550*d - 221.\nAnswer: -24228*d - 588","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*q - 4*p + 5 = -1, 3*p - 4 = q. Let m be -3*(q + (-2)\/(-6)). What is the second derivative of m*u**5 + 0*u**5 - u + 2*u wrt u?\nAnswer: 40*u**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-4774)\/11935)\/((2*-1)\/140).\nAnswer: 28","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 106 = 5*o + x, 8*x - 3*x - 89 = -4*o. Suppose 6*g = o*g - 4500. What is the greatest common factor of 60 and g?\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -9*p - 863 + 1718 = 0. Which is bigger: p or 660\/7?\nAnswer: p","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 5440?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve -60 - 2 = -f - 6*s + 4, 24*f - 442 - 862 = -4*s for f.\nAnswer: 54","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 58095 is divided by 2186.\nAnswer: 1259","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 1\/2 in 21, -1\/2, -0.4?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4310 = 5*p - 4*b, 4*p - 2*b - b = 3449. What is the hundreds digit of p?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(j) = -42 - 35*j - 5*j**2 + 65 + 33. Let u(m) = -2*m**2 - 12*m + 19. Let k(l) = 6*f(l) - 17*u(l). What are the prime factors of k(6)?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 3.4 - 3.9. Let b = y + 0.4. Let j = 3.9516 - -0.0484. What is the closest to b in j, 1, -80?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of -69740, -69780, -69820, -69860, -69900, -69940?\n\"Answer: -40*n - 69700","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of -3981, -437, 5463, 13719, 24331, 37299?\n\"Answer: 1178*c**2 + 10*c - 5169","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4 = 3*b - b. Let v be (b + -3)*(-4)\/(-10). Calculate the remainder when 14 is divided by (-3)\/(-3) + (v - -5).\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in t + 31674698155515793 - 31674698155515793.\nAnswer: t","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let c(s) = -6*s - 4. Calculate c(2).\nAnswer: -16","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 28 and 1148?\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Work out 54.52 * 1566.\nAnswer: 85378.32","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in -1, 4, -23\/220, -154, 2\/23, 4\/9?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*r = -2*x + 2*r + 18*r - 62, r + 0*r - 1 = 0 for x.\nAnswer: -22","meta":{"dup_signals":{},"source":"algebra__linear_2d_test"},"subset":"dm_maths"} +{"text":"Question: Let l(a) = -24*a**3 + 13 + 3*a + 2*a + 26*a**3 - 4. Let x(q) = -66*q + 995. Let h be x(15). Let v(w) = 3*w**3 + 8*w + 14. What is h*v(p) - 8*l(p)?\nAnswer: -p**3 - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is 11436 - -5332?\nAnswer: 20101","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 2\/19 - -62\/133. Put 5, s, 5\/2, 0.5 in ascending order.\nAnswer: 0.5, s, 5\/2, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(w) be the first derivative of w**2 + 0*w**3 - 1\/2*w**4 - 11*w - 187 - 94\/5*w**5. Find the second derivative of n(h) wrt h.\nAnswer: -1128*h**2 - 12*h","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in 6, 1\/72, 2\/7?\nAnswer: 6","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let o be ((-18)\/(-24))\/(50\/(-56) - -1). Suppose -4*b = f - 564, 11*b - 12 = o*b. What is the highest common divisor of f and 24?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 366 + -252. Let h = 119 - d. Put 9, 0, h, -2\/7 in descending order.\nAnswer: 9, h, 0, -2\/7","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 65\/50868 and -131\/436146.\nAnswer: 23551884","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 2 times -7.1647?\nAnswer: -14.3294","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let w(h) = 4*h**2 + 5*h. Let m(u) = 5*u**2 + 6*u. Let y(d) = 5*m(d) - 6*w(d). Let x be (-46)\/(-14) + (-10)\/35. Let r(n) = x*n - n + 3*n - 2*n. What is r(y(q))?\nAnswer: 3*q**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 1 in 0.2, 3.7, 0.28?\nAnswer: 0.28","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is 7094863 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 7225\/14 - 516. Let z(i) be the first derivative of 0*i**3 - s*i**4 + 0*i - 2\/35*i**5 + 0*i**2 - 7. Determine j so that z(j) = 0.\nAnswer: -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (-4)\/(-18) + -4*711\/(-324). Suppose v*s - 3*s - 2370 = 0. Is s a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t be -3 - (14\/(-2) + 3). Let b be 4 - (-3 + 2)*t. Solve -8 = b*f + i, 5*i = 3*f - 12 - 0 for f.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 6368228 divided by 146.\nAnswer: 43618","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is 90385 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let g(c) = -c**3 - c**2 + c + 4. Let x be g(0). Solve -x*b + 6*b = 0 for b.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 372 and 2682182?\nAnswer: 62","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -1553, -1590, -1651, -1736, -1845, -1978?\nAnswer: -2135","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let j(s) = 21524*s + 860953. What is j(-40)?\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 776.\nAnswer: 2, 97","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is 300 - -10?\nAnswer: 310","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Sort 5, 270, 0.3, -2, 4 in ascending order.\nAnswer: -2, 0.3, 4, 5, 270","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from kekeweuwgcecwg. What is prob of picking 2 c and 1 w?\nAnswer: 3\/364","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 7 + -2. Let v(n) be the second derivative of -n**3\/6 - 3*n. Let l be v(-5). Solve l*y - 5*z = 10, 2*y - 2*z = 3*y - b for y.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out -9 * -906.\nAnswer: 8154","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let g(q) be the first derivative of -2*q**3\/3 - 26*q + 18. What is the derivative of g(z) wrt z?\nAnswer: -4*z","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 1a692 (base 15) to base 6.\nAnswer: 1501302","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 4 and 58?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let z(c) = c**3 - 19*c**2 - c + 45. Suppose -6*o + 7*o - 4 = 0. Suppose n = o*n - 231. Calculate the remainder when n is divided by z(19).\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:17 PM and 9:04 PM?\nAnswer: 107","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is (-2 - 1) + -7 + -88 + 117 + -86?\nAnswer: -67","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -144 + 804. What is the tens digit of l?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 1482.4191 months to years.\nAnswer: 123.534925","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -161 - -158. What is the third smallest value in -0.1, -2\/15, p?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -100 - -101. Suppose z = 3*w + 2*m - 9, 2*m = 4. Suppose 4*j - 2*i - 6 = 2, 2*i = w*j - 2. Solve 24 = -4*a - 2*t, 0 = j*a - 4*t + 1 - 5 for a.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 754507363 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (l*l*l*l*l**(-6))\/(l*l*l**1)*(l**(-2\/3))**(-6\/7)*(l**(1\/3)*l\/l**13)**11 assuming l is positive.\nAnswer: l**(-2788\/21)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 41*j**6 + 25*j**6 - 125*j**2 + 188*j**2 wrt j?\nAnswer: 7920*j**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 175 minutes before 10:40 PM?\nAnswer: 7:45 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -2*x + 141 + 43 + 214 to the form c*x + y and give y.\nAnswer: 398","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 43.2499 kilograms in nanograms?\nAnswer: 43249900000000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let w(t) be the third derivative of 29*t**8\/56 - t**7\/105 - t**6\/60 - 2267*t**5\/60 - t**2 + 14*t - 35. Find the third derivative of w(i) wrt i.\nAnswer: 10440*i**2 - 48*i - 12","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -1.003*1.13.\nAnswer: -1.13339","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: bf862 (base 16) to base 7\nAnswer: 6445056","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let f be 10\/(-25) + 27\/5. Let s(x) be the second derivative of 1\/6*x**3 + 0 - 1\/12*x**4 - x + 0*x**2 + 3\/10*x**f. What is s(1)?\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 10 divide 95009?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 37 - 15. What is the greatest common divisor of 55 and j?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0 divided by 7562920?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 6*n**3 + 13*n**3 - 10*n**3 - 8*n**3.\nAnswer: n**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -611375*l**3 + 305164*l**3 + 306220*l**3.\nAnswer: 9*l**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (b*b**(-26))**(-2\/23) assuming b is positive.\nAnswer: b**(50\/23)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -476 + 476.09. Suppose 0 = -3*m - 3. Which is the closest to i? (a) -2 (b) m (c) -0.5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 37\/1905963 or 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let 4*w**5 - 2*w**4 - 6*w**4 + 14*w**5 + 4*w**4 = 0. Calculate w.\nAnswer: 0, 2\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -410009*g**2*l**2 + 86773*g**2 + g*l**2 - g*l wrt l?\nAnswer: -820018*g**2 + 2*g","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let h(b) = -b**3 + 12*b**2 + 43*b + 33. Let r be h(15). Solve 0 = 15*c - 57 - r for c.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of 3071983, 6143964, 9215945, 12287926?\n\"Answer: 3071981*x + 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 14133192 and 5412.\nAnswer: 492","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let x(g) be the second derivative of -g**4\/12 + 6*g**2 + 5*g. Let i be x(5). Let l = i - -23. What is the tens digit of l?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 3 + 24. Let j = 30 - w. Let a(r) = -2*r**j - 3*r**2 - 4*r - 28 + 25 + r. Let n(x) = -10*x**3 - 16*x**2 - 16*x - 16. Give -16*a(l) + 3*n(l).\nAnswer: 2*l**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve -110*y + 790 = 2440 for y.\nAnswer: -15","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is (1\/5)\/((-9)\/(-30))?\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Put -3, 1, 2, 3, -28, -325, -61 in increasing order.\nAnswer: -325, -61, -28, -3, 1, 2, 3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) -109101 (b) -1\/7 (c) 3 (d) -1\/2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Put -5, 2033, -4 in descending order.\nAnswer: 2033, -4, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -37 + 31 + 13 + -27.\nAnswer: -20","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-98*z - 5*z + 16*z)*(6 - 2 + 1) + (2 - 2 + 1)*(9*z - 89*z + 41*z) to the form o*z + t and give o.\nAnswer: -474","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-71625)\/(-764) + -93)\/((-6)\/344)?\nAnswer: -43","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 254317 is divided by 4192.\nAnswer: 2797","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let l(y) = -44*y. Let u(w) = 43*w. Let g(m) = -4*l(m) - 3*u(m). Let q(c) be the second derivative of -c**4\/6 + 30*c - 141. What is g(q(k))?\nAnswer: -94*k**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve -709*x + 19792 = -1843 - 21614 for x.\nAnswer: 61","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -1969*t*u**3 + 2*t*u**2 + t*u - 2*u**3 - u**2 + 517*u with respect to t.\nAnswer: -1969*u**3 + 2*u**2 + u","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 4784?\nAnswer: 2, 13, 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 148 minutes before 4:57 PM?\nAnswer: 2:29 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 57 - 57.23. Let b = h - -1.23. Sort -2\/15, b, -0.2 in increasing order.\nAnswer: -0.2, -2\/15, b","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 2381001 + -399521.6?\nAnswer: 1981479.4","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let g(k) = 16*k**3 + 105*k**2 + 346*k - 14. Let r(p) = -3*p**3 - 21*p**2 - 69*p + 3. Let f(y) = -2*g(y) - 11*r(y). Is 12 a factor of f(-17)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 699 + 3616*a**2 + 6*a - 1811*a**2 - 1803*a**2 with respect to a.\nAnswer: 4*a + 6","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 62*x - 163*x - 126*x + 14074 = 0. Calculate the greatest common factor of x and 7006.\nAnswer: 62","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (5 - 4 + 2)*(4 - 4 + 3*m)*(2*m**2 + 5 - 7 + 0 - m).\nAnswer: 18*m**3 - 9*m**2 - 18*m","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -252*y + 12 - 12 to the form c + i*y and give i.\nAnswer: -252","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 3833?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -7 - -13. Suppose -w = -z*w - 620. Let i = w + 355\/3. Find the common denominator of 46 and i.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -71 - 39 = -11*g for g.\nAnswer: 10","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let i(s) = -s - 6. Let p be i(-6). Let a = 0.7 + -0.77. Let v = a + -2.93. Sort -6, v, p in decreasing order.\nAnswer: p, v, -6","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((5*(-6*sqrt(147) - sqrt(147)) - (2 + sqrt(147)*6)) + (sqrt(147) + (sqrt(147) - ((-3 + sqrt(147))*-2 + sqrt(147))) - (3*sqrt(147) + 0)))**2.\nAnswer: 4592*sqrt(3) + 247171","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -91 + 139. What is the remainder when 287 is divided by p?\nAnswer: 47","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 9*k**4 + 1648*k**3*u**3 - k**3*u**2 + 24*k**2*u**2 + 121*u**3 wrt k.\nAnswer: 216*k + 9888*u**3 - 6*u**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -136 - -146.2. Let g = 8.2 - r. Which is the nearest to -0.4? (a) 0.1 (b) -2\/9 (c) g\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: 126184597*-2\nAnswer: -252369194","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 42\/8 + -5 + (-1150)\/(-8)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 14789 - 14767. Which is the nearest to 24? (a) w (b) 2\/5 (c) 3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -15 - -15. Suppose -5*l = -4*l - 7. Suppose 0 = 3*c - 6*c - 3, 5*c = 4*s + l. Sort s, d, 1 in decreasing order.\nAnswer: 1, d, s","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 4050 + -587. Is b composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(s) = -3*s - 5. Let g(n) be the third derivative of -n**4\/24 - n**3\/3 - 2*n**2. Suppose -q = -3*i + 7*i + 1, 0 = -q + 5*i - 10. Calculate q*g(v) + 2*a(v).\nAnswer: -v","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: 779 divided by -75164\nAnswer: -41\/3956","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: 14 * 32899.3\nAnswer: 460590.2","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Express 4 + 16*m + m**2 - 36*m + 22*m as g*m + k*m**2 + q and give q.\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let b be 1\/((-2)\/(-96)*3). Let t(m) = -2*m**2 + 3*m - 3. Let o be t(2). Let v = o + b. What is the highest common factor of 121 and v?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -1.86 + 1.56. Let z = 0.27 - 5.27. Let j = -5.6 - -6. Which is the closest to i? (a) z (b) 5 (c) j\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8*r = 5*r. Suppose r = -3*y - 231 + 831. Let h = y - 141. Is 16 a factor of h?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 959 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: Is 202277 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Find g such that -4*g**2\/9 - 152*g\/9 + 320\/9 = 0.\nAnswer: -40, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let m(u) = -8*u. Let v(q) = -7*q - 37. Let n be v(-15). Suppose n - 14 = 6*y. Let c(t) = -6*t - 9 + y. Calculate c(m(a)).\nAnswer: 48*a","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of -68003, -131092, -194179, -257264, -320347?\n\"Answer: x**2 - 63092*x - 4912","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 2728633 is divided by 272861.\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 5220 is divided by 2595.\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 157865?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let r(o) be the second derivative of -491*o**5\/20 + o**3\/6 - 217*o**2 + 124*o - 2. Differentiate r(x) with respect to x.\nAnswer: -1473*x**2 + 1","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 51 - -439. Let m(j) = -z - 493 - 2*j + 0*j + 982 + j. What is m(-6)?\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 46546 - 25885. Suppose -26*n - 4723 = -i. Calculate the remainder when n is divided by 77.\nAnswer: 74","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(q) = -7*q + 5. Let h(w) = 4*w - 7*w + 2*w + 3 - 2. Calculate -6*h(d) + i(d).\nAnswer: -d - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Convert -10b8 (base 13) to base 12.\nAnswer: -1438","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve -17*o + 4*o = 3*o - 208 for o.\nAnswer: 13","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is 17 + 84?\nAnswer: a0","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of -795, -1591, -2367, -3111, -3811, -4455, -5031?\n\"Answer: 2*p**3 - 2*p**2 - 804*p + 9","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand 2*z + z - 2*z - 4*z + 3*z + 2*z - 1 + 1 - z + z + 0 + 0 + (2 + 3 - 4)*(-2*z + z + 2*z) + 73712 - 73712 + 259*z.\nAnswer: 262*z","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-4585)\/(-920))\/(-7) - ((-59)\/(-115) + (-123)\/205).\nAnswer: -5\/8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 180 - 33. What is the units digit of f?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: 32 - (-4 - 16 - -15 - -15)\nAnswer: 22","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((1*sqrt(440))\/sqrt(11))\/sqrt(8).\nAnswer: sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 135\/4 + -34. Which is greater: g or -7?\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k be 33\/(-10824)*-41*(1 + -2). Which is the third smallest value? (a) 1 (b) k (c) 70\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -7 - 6*k + 18 - 8 - 3.\nAnswer: -6*k","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((o*((o*o*(o*o*o*o**(-20)\/o)\/o)\/o)\/o)\/o)\/o*o)**(-25)*((o**29*o)\/o*o*o*o*o)\/o**(15\/4) assuming o is positive.\nAnswer: o**(2017\/4)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 1738? (a) -0.3 (b) 0.5 (c) 0.1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (1 + 0 - 5)*(44 + 204 + 5*a - 2*a - 4*a) to the form x + u*a and give u.\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.0005645 rounded to five dps?\nAnswer: -0.00056","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is 52714665943 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 3495269 is divided by 151968.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (-10)\/414 + -25*184\/52900. Suppose 0 = 3*d + 1 + 2, 0 = z + d - 1. Put m, 0, z, 4\/3 in decreasing order.\nAnswer: z, 4\/3, 0, m","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {d: 3, m: 3}. What is prob of picking 2 d?\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is -3224.346 rounded to the nearest ten?\nAnswer: -3220","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -6 - -9. Let j = r + -3.1. Let s(t) = -t**2 - t. Let y be s(-1). Which is smaller: j or y?\nAnswer: j","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(j) be the first derivative of -7*j**3\/3 - j**2 + 581. Let y(t) = -3*t. Calculate m(y(h)).\nAnswer: -63*h**2 + 6*h","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let a(y) = -y**2 + 15*y - 7. Let k be a(14). Let d(f) = 4*f - k*f + 3*f - 6*f**2. Let v(z) = 12*z. Determine v(d(g)).\nAnswer: -72*g**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: -11 (base 3) to base 14\nAnswer: -4","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -12 - -17. Suppose -r*s + 178 + 97 = 0. Suppose 3*g = -2*g + s. Does 11 divide g?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -959 + 1451. What is the hundreds digit of z?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -76, 5, -1 in descending order.\nAnswer: 5, -1, -76","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -8? (a) 0.109 (b) -5\/8 (c) 12 (d) 0.5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let k(g) = -8148*g**3 - 21*g**2 - 10*g + 6. Let n(h) = 8150*h**3 + 17*h**2 + 8*h - 5. Determine 4*k(f) + 5*n(f).\nAnswer: 8158*f**3 + f**2 - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-4752)\/(-594)*(-38)\/8?\nAnswer: -38","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let c be 15\/5 - -1*2. Suppose 2*f - c - 3 = 0. Suppose 5*m + 0*w - f*w + 110 = 0, -4*w - 88 = 4*m. Calculate the common denominator of -26\/9 and m.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is 24010411 + 1?\nAnswer: 24010412","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*f + 5*s - 24, -6*f + f = -2*s + 3. Let b be 12 - f\/2*0\/(-9). Let y be 3\/(b\/(-1568750))*128. What is y rounded to the nearest one million?\nAnswer: -50000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from fyyylylyyfycljkcfy. Give prob of sequence ykf.\nAnswer: 1\/204","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let g(z) be the first derivative of z**4\/2 - 1. Let r(m) = -6*m + 3. Let b be r(1). Let h(v) = 3*v**3. Determine b*h(t) + 4*g(t).\nAnswer: -t**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 9697.575km in meters?\nAnswer: 9697575","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 342786?\nAnswer: 2, 3, 57131","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (8 + 7 - 8)*(10 - 10 + 19*v) to z*v + l and give l.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*m = -16, -2280 = 5*n + m + 4*m. Let q be n\/30*1\/(-4). Which is smaller: q or 4?\nAnswer: q","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -5 and 27.3?\nAnswer: -136.5","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 5 - 5. Suppose a = -6*q + 3*q + 9. What is the closest to 1 in -0.2, q, 4?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(h) = -2*h**3 - 6*h**2 + h + 8. What are the prime factors of x(-4)?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (0 + 5)*16\/40. Solve 0 = -i - 3*i, k*h + 4*i = 0 for h.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of (-12)\/9*43323\/(-28)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(x) = 4*x**2 - 38*x - 34. Calculate i(-1).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 5 - ((-1 - -10) + 16 + 10 + -5)?\nAnswer: -25","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 8603 to the nearest integer?\nAnswer: 93","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 1440 and 10.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 2 + -2. Let k(g) be the first derivative of -g**2\/2 + g - 4. Let z be k(-1). Solve b = 5*u - 4*p + 7, -3*p = z*u + p - 14 for u.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 35 + 23 + 4758*o - 58.\nAnswer: 4758*o","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 9 - 4. Let w = -6067\/21 - -1999\/7. Put 3, x, w in descending order.\nAnswer: x, 3, w","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t be ((3 - 2) + -3)*-36. Let s = -37 + t. Is s a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 390223162?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 423 and 752?\nAnswer: 47","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve -239*l - 420 = 775 for l.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (5 + -3 + -1*sqrt(39)\/sqrt(3) + (0 + sqrt(13)*-2)*5)**2.\nAnswer: -44*sqrt(13) + 1577","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 449119?\nAnswer: 11, 40829","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 170011008.\nAnswer: 2, 3, 49193","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 5 + (sqrt(288)\/(2*sqrt(9)) - (sqrt(32)*-3 + 0)).\nAnswer: 5 + 14*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -765861\/143 or -5356?\nAnswer: -5356","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 1507895714 to the power of 1\/3, to the nearest integer?\nAnswer: 1147","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 843216664?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2 + 2 + 14300*n.\nAnswer: 14300*n","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -49599028, -49599031, -49599044, -49599073, -49599124, -49599203?\nAnswer: -49599316","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Round 7331821 to the nearest 10000.\nAnswer: 7330000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is 108586554317 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let t be 1\/3*1 - (-5)\/3. Suppose 0*d + t*d + 2 = 0. Is ((-6)\/4)\/d*(-42650)\/(-15) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:46 AM and 9:18 AM?\nAnswer: 332","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: (-12 - -20) + -12 - ((-12 - -11) + -3)\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth smallest value in -1, 0, -2\/37, 2\/7, 0.5, -2?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is 2178575731 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:50 PM and 12:31 AM?\nAnswer: 41","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of -72, -196, -322, -450?\n\"Answer: -v**2 - 121*v + 50","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 15\/((-150)\/40)*-6 and (-321)\/36 + 2\/(-3).\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*t + 6 = l + 5*t, -3*t + 12 = 2*l. Let n(w) = -w**2 + 64*w - 113. Let k be n(62). Let j(a) = k*a + l*a - 15*a. Let g(q) = -5*q**2. What is j(g(i))?\nAnswer: -10*i**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of 74, 280, 626, 1106, 1714?\n\"Answer: -a**3 + 76*a**2 - 15*a + 14","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (2\/16)\/(10\/800).\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -71\/574 and -119\/19289598.\nAnswer: 135027186","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 230 and 46.\nAnswer: 46","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let c(w) = -w**3 - 8*w**2 + 4. Let o = 23 + -31. Let j be c(o). Solve d + j*p - 5 = 0, p = 3*d - 3*p - 15 for d.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 87855 + -1192807334\/13577. Are n and -1 non-equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 10*s - 25 = 5*s. Suppose s*m - 3*m + 48 = 0. Let y = m - -166. Is y a multiple of 14?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {s: 2, n: 4, u: 6, k: 3, j: 2, v: 1}. Give prob of picking 2 s.\nAnswer: 1\/153","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is 55763 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1289758746?\nAnswer: 2, 3, 61, 83, 42457","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Round -40253.15222 to the nearest 10.\nAnswer: -40250","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -0.8 + -7.2. Let f = k - -6. Let j = -1.028 + 1.018. What is the third smallest value in f, -0.1, j?\nAnswer: j","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(k) = 2*k - 15. Let y be c(7). Sort -3, 1.9, -1\/4, y in ascending order.\nAnswer: -3, y, -1\/4, 1.9","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 352210 to the power of 1\/2, to the nearest integer?\nAnswer: 593","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 123 - 7*c - 132 - 4*c**2 + 5*c**2 + 3*c**2.\nAnswer: 4*c**2 - 7*c - 9","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 3.45 + 14.8. Let n = 0.25 - x. Let f = 17.8 + n. Sort -4, 5, f.\nAnswer: -4, f, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (r**(-9)*((r\/r**(1\/3))\/r)\/r)\/(r\/(r*r\/(r**(-2)*r)))**(-10) assuming r is positive.\nAnswer: r**(-91\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Put together -94059 and -594.\nAnswer: -94653","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 90897\/23620 - -2\/1181. What is the common denominator of (-1910)\/(-240) - (3 - -6) and n?\nAnswer: 120","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is -253 + -171353?\nAnswer: -171626","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 5470234 and 8470.\nAnswer: 154","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 5492?\nAnswer: 2, 1373","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in -2, 2, -1.1, 13\/4?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 3110 to the power of 1\/6, to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-52)\/(-39)*77\/(-308).\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 c and 2 f when four letters picked without replacement from {c: 7, f: 3}?\nAnswer: 3\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is -1112 - -10010?\nAnswer: 1121","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 53 + -26. Let w = p + -17. Let v = -3 + w. Is v a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(y) = -9*y - 2. Let c be (-24)\/(-78)*26 + 1*-2. Give n(c).\nAnswer: -56","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(l) = 91*l**2 + 21*l - 39. What is o(2)?\nAnswer: 367","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let y(v) = -v**3 + 5*v**2 + v + 3. Let k be y(5). Let b(p) = p**3 - 8*p**2 + p + 11. Does 19 divide b(k)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 9814 (base 15) to base 10.\nAnswer: 32194","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve -12*f = 4*s + 60, 4*s + 5*f + 81 = 49 for s.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: ((-342)\/(-288))\/(573\/(-1146))\nAnswer: -19\/8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 49 a factor of 2083?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 10755 and 195?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let m(s) = -2*s**3 - 6*s**2 + s + 5. Let k be m(-4). Solve -5*g - 5*v + k + 7 = 0, 2*v + 4 = 3*g for g.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine o so that o**2 + 4221*o + 8438 = 0.\nAnswer: -4219, -2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 3169?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 14.8475 - -0.3425. Which is the second smallest value? (a) -4 (b) r (c) 4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(b) = -b**3 + 7*b**2 + 2*b - 3. Let u be p(7). Let y(z) = z**3 - 11*z**2 - 9. Let r be y(u). Let o = r - -27. What is the tens digit of o?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 8 a factor of 288?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve -15*h + 108*h + 209 = -105 + 128 for h.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth smallest value? (a) -5 (b) -3 (c) 73 (d) -0.5 (e) 0.075 (f) -0.61 (g) 1\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -7\/524004 and -139\/468?\nAnswer: 1572012","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2 - 1 - 1)*(2*g**4 - 6*g**4 - 8*g**4) - 5*g**4 + 3*g**4 + 4*g**4.\nAnswer: 50*g**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in -5, -0.9, -8, -0.417, 2, -4, 1\/9?\nAnswer: -8","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -3*j**2*o**3*x + 1503*j**2*x**2 + j*o**3*x + 1823*j*o**3 - o**3*x**2 wrt x?\nAnswer: 3006*j**2 - 2*o**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of 5, 13, 25, 41, 61, 85, 113?\n\"Answer: 2*u**2 + 2*u + 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 15*i - 4 + 10 = 36 for i.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*l = d - 643, 4*d - 3*l = -2*l + 2545. What is the tens digit of d?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -20 + 28. Suppose -3*w - 4*k + 948 = -p*k, 0 = -w + 2*k + 318. What is the units digit of w?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 3, 0, -0.53 in ascending order.\nAnswer: -0.53, 0, 3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: 5 - (22 + 0 + 5 + -6) - -10\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ui when two letters picked without replacement from iuixxgi?\nAnswer: 1\/14","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let g(x) = x**3 + 2*x**2 + 2. Let a be g(-2). Suppose 0*v - 6 = -5*c - 4*v, -4*c + 6 = a*v. Solve -c*u = -u for u.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(d) = 2*d**2 + 175*d + 539. Calculate w(-3).\nAnswer: 32","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let v(r) = r + 13. Suppose 9*f + 48 = 3*f. What is v(f)?\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 4889 divide 700201814?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let t(d) = -3*d - 6. Let s be t(0). What is the common denominator of 87\/4 and 13\/(-39)*s\/(-20)?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 43831243 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -50 - 1462\/(-34) - (24 + -4)?\nAnswer: -27","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*k = 24, -k - 19 = 3*u - 4 for u.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 5*g + 5*y - 30, 2*g + 0*g - 2*y = 24. Suppose 0 = g*o - 7*o - 8. Determine j so that j**2 + 3*j**3 - j - 7*j**3 + 3*j**3 + 2*j**3 - j**o = 0.\nAnswer: -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 256759 is divided by 423.\nAnswer: 421","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Express (-1 + 1 + 1)*((-62*d + 18 - 18)*(-4 - 3 + 5) + 2 - 2 - d)*(-2*d**3 - d**3 + 2*d**3) in the form v*d**4 + z*d**3 + o*d**2 + k*d + c and give v.\nAnswer: -123","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Divide 125 by 6.\nAnswer: 125\/6","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is (-3)\/(-7) + (-28)\/196?\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 12\/(-18)*(-3)\/(-5).\nAnswer: -2\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((3*(sqrt(756) - (sqrt(756) + sqrt(756)*-2 - sqrt(756))))\/(3*sqrt(63)\/(sqrt(9)*2)) + 4 + -2)**2.\nAnswer: 144*sqrt(3) + 3892","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let h be 6*55\/(-66)*1. Suppose -3*c + 6 = -3. Sort c, -6, h, 2 in descending order.\nAnswer: c, 2, h, -6","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(c) = -169*c - 15. Let a be -4*((-1)\/4 - -1). Let g be r(a). Suppose 3*z - 296 = 4*n - 3*n, 5*z = n + g. What is the tens digit of z?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -65 - -116. Let u be 68\/16 - (-2)\/(-8). Suppose -u*i + r = -i. Is 5 a factor of i?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 451 divide 4928528?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-1 + 4 - 5)*(-7*g + 2*g + 2*g)*(4 - 1 - 2)*(-1 - 1 - 1).\nAnswer: -18*g","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 1\/5 in 0.173, 0.3, 5?\nAnswer: 0.173","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*n = -n - 2. Let m(l) = 6*l**3 + 3*l**2 + 2*l. Let i(d) = -d + 3*d**3 + 2*d**2 - 4*d + 6*d. Let x(o) = -7*i(o) + 4*m(o). What is x(n)?\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(m) = 13*m**2 + 4*m - 20. Let j(a) = -2*a**2 - a + 5. Let w(q) = 12*j(q) + 3*v(q). Let i(l) = -3*l + 5. Give i(w(r)).\nAnswer: -45*r**2 + 5","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Expand (105*j**2 - 110*j**2 + 58*j**2 + (-4 + 4 + j)*(j - 2*j + 3*j) + 44 - 44 + 13*j**2)*(-5*j - 3 + 3).\nAnswer: -340*j**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of 1222, 1224, 1226, 1228, 1230?\n\"Answer: 2*z + 1220","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -41\/80 and -115\/12?\nAnswer: 240","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve 98175*b - 1242 = 98313*b for b.\nAnswer: -9","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 5*k - k, 4*h + 4 = 3*k. What is the nearest to -1\/7 in 2\/7, -4, h, -1\/7?\nAnswer: -1\/7","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -y - 2*i + 20 = 0, y - 4*y = 3*i - 48. Is (20\/16 + (-9)\/y)*3986 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -7, 0, -100 in ascending order.\nAnswer: -100, -7, 0","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 5? (a) -20 (b) -0.2 (c) 9 (d) -2\/11\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is -2 + 20 + -20 + 4?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 42 (base 11) in base 9?\nAnswer: 51","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) -0.5 (b) 5 (c) 4637\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -72955*m**4*t**2 - 24*m**4 + 3*m**3*t + 2883*m**2*t + 3*m + 102*t**2 - t wrt m.\nAnswer: -1750920*m*t**2 - 576*m + 18*t","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let t(f) = -13300*f + 26607*f - 13303*f. Let o(b) = 1649*b. What is t(o(x))?\nAnswer: 6596*x","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Put 0.4, 4, -7, -29163 in increasing order.\nAnswer: -29163, -7, 0.4, 4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let c(r) = 5839*r + 642320. Give c(-110).\nAnswer: 30","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let y(a) = -7405*a. Let i(r) = 11*r**2. Give y(i(z)).\nAnswer: -81455*z**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -n + 26284896 = 7649061. Suppose -4*y - 2*b + n = y, -4*b = 0. Suppose 0 = -3*p - 577167 + y. Round p to the nearest one hundred thousand.\nAnswer: 1100000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_test"},"subset":"dm_maths"} +{"text":"Question: Suppose -4 = -4*g - 4*c, 2*c = g - 12 - 4. Let s be (-3 + (-3)\/(-2))*-2. Let i be (6\/16)\/(s\/38). Which is greater: i or g?\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 340709 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let j(y) = -5*y - 52. Let r be (-5)\/((-70)\/6) + 460\/(-28). Calculate the lowest common multiple of j(r) and 20.\nAnswer: 140","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find u such that -8*u**3 - 69652*u**2 + 802012*u - 383592 = 0.\nAnswer: -8718, 1\/2, 11","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_test"},"subset":"dm_maths"} +{"text":"Question: Let m(i) = -42*i**2. Let g(v) = -14*v**2 + 3*v**2 + 54*v**2 - 6*v + 2*v + 3*v. Give g(m(w)).\nAnswer: 75852*w**4 + 42*w**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: ((-6)\/7)\/((-3861)\/(-10010))\nAnswer: -20\/9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(q) be the second derivative of 3*q**4\/4 - 2383*q**3\/6 - 265*q**2 + 10873*q. Determine l, given that h(l) = 0.\nAnswer: -2\/9, 265","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 54 + 106. Calculate the greatest common factor of x and 10.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -70\/99 and -7\/72.\nAnswer: 792","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Expand -4*o + 3*o + 2*o - 4*o - 2*o + 4*o + (-6 + 3 + 4)*(1 - o - 1) + 0*o + 3*o - 5*o.\nAnswer: -4*o","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Round -47477 to the nearest 100.\nAnswer: -47500","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -o + 11 = 4*o + 2*b, 0 = 4*o + 5*b - 2. Solve -4 = 5*q - m, -4 + 0 = -o*q - m for q.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 4524 and 292929?\nAnswer: 1171716","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence jd when two letters picked without replacement from jzdhy.\nAnswer: 1\/20","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -5*x - 5*z + 5, 0 = 4*z - 7*z - 9 for x.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: 1543184 divided by -371\nAnswer: -1543184\/371","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 2346 is divided by 87.\nAnswer: 84","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -1 in -468\/11, 0.3, 1.5?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((c**5*c**(3\/7)\/c)\/(c\/(c**0*c*c)*c\/((c\/(c**(-4)\/c))\/c)))**(-44) assuming c is positive.\nAnswer: c**(-2904\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: How many kilograms are there in 17\/4 of a tonne?\nAnswer: 4250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*z = 2*z - 9, -y = -4*z - 23. Suppose 5*u = 2*q - 23, 5*u = -0*q - q - y. Put 0, q, 5 in descending order.\nAnswer: 5, q, 0","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1393 is divided by 40.\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 5*r + 4*k - 27 - 25, 3*r = -4*k + 28. List the prime factors of (-6)\/(-8)*r*1.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 185 and 240.\nAnswer: 8880","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 12 = 14*g - 11*g. Solve 3*l + 1 - 5 = -b, -g*l + b = -3 for l.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -2679*o + 62996 - 17453 for o.\nAnswer: 17","meta":{"dup_signals":{},"source":"algebra__linear_1d_test"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {j: 5, z: 2, k: 1, q: 1}. Give prob of picking 1 z and 1 k.\nAnswer: 1\/18","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of -96, -191, -286, -381, -476, -571?\n\"Answer: -95*k - 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*m + 3524 = -2021. Is m a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 78163 is divided by 4552?\nAnswer: 779","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-15 + 168\/24)\/((-12)\/(-72)).\nAnswer: -48","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.2811163 centuries in decades?\nAnswer: 2.811163","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let l be 25\/5 - (0 + 0). Let k = 21 - l. What is the tens digit of k?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -z = 0, 4*z - 184 = -x - 0*x. Suppose w - 5*g = 66 + x, 4*w + g - 1042 = 0. Suppose 0 = 2*m - 1496 - w. Is m prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 77537367 a multiple of 6?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Sort 10, -4, 5, 7, 2.\nAnswer: -4, 2, 5, 7, 10","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 19 = 4*r - 1. Suppose 10 + 15 = r*z. Suppose 2*n = -3*x + 136 - 37, z*n - 2*x - 295 = 0. Calculate the remainder when n is divided by 15.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(n) = n**2 + 17*n + 63. Let j be x(-12). Suppose 5*d + 15 - 87 = -4*a, a - 18 = j*d. What is the smallest common multiple of a and 45?\nAnswer: 90","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(r) = -8894*r - 2. Let w(k) = -177897790*k - 40005. Give -40005*o(l) + 2*w(l).\nAnswer: 8890*l","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 2955015 and 3780.\nAnswer: 945","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let b(r) = 33067*r**2 - 1. Let c(k) = 18*k. What is c(b(j))?\nAnswer: 595206*j**2 - 18","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 13*z - 137 - 6 for z.\nAnswer: 11","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 3*(3 + sqrt(180) + sqrt(180) + -2 + 5 + (sqrt(180) + -2)*-3 + (sqrt(180) - 1*sqrt(180)) + 4 + (-1 + sqrt(180))*-3)**2.\nAnswer: -2736*sqrt(5) + 9723","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -224*f - 266*f - 704*f + 152*f.\nAnswer: -1042*f","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is -29 + -1 + 19 + 9 + 23?\nAnswer: 21","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 136*u + 266 - 1036 - 590 = 0. Solve -13*l = -u*l + 12 for l.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((z\/((z*z*z**(3\/5)\/z*z)\/z))\/z)**(-1\/18)\/(z\/z**(1\/5)*(z*z**(-12))\/z) assuming z is positive.\nAnswer: z**(508\/45)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 5426 to the power of 1\/2, to the nearest integer?\nAnswer: 74","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let a(c) be the second derivative of -5\/8*c**4 + 0*c**3 + 4*c**2 + 0 - 1\/20*c**5 + 10*c. Let i(l) be the first derivative of a(l). Find j such that i(j) = 0.\nAnswer: -5, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (((-24)\/(-9))\/(-2))\/((-44)\/6).\nAnswer: 2\/11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 189354 divided by 3.\nAnswer: 63118","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let g(f) = -4*f. Let h be g(-1). Let u = -27 + 47. Suppose a - 4*m - u = 0, h*a - m = 3*a + 8. List the prime factors of a.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((p*p*p*((p\/(p*p**(-28)))\/p*p)\/p*p)\/p**(-6))\/((p\/((p*p**(-23)*p)\/p))\/(p*p\/(p\/(p\/(p**(5\/4)*p))))) assuming p is positive.\nAnswer: p**(55\/4)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3 = -t - 0*t. Suppose -j = 5*b - 9, t*b - j + 1 = -0. What is the units digit of (-1 + -8)\/(-3) - b?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:13 AM and 6:29 PM?\nAnswer: 616","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Total of -2109486 and 183084655.\nAnswer: 180975169","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of 2167, 2164, 2151, 2122, 2071, 1992, 1879?\n\"Answer: -b**3 + b**2 + b + 2166","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -21\/47159870 and -103\/56591844?\nAnswer: 282959220","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*m = -3*f + 1038, -34*f = -36*f + 2*m + 694. What is the remainder when f is divided by 170?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(g) = -2*g**3 - 5*g**2 - 3*g. Let v(s) = -s**3 - 3*s**2 - s. Let z(f) = 3*d(f) - 5*v(f). Find the second derivative of z(c) wrt c.\nAnswer: -6*c","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 2 divide 459?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 126 minutes after 3:05 AM?\nAnswer: 5:11 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 35\/21548 and 61\/26935.\nAnswer: 107740","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let q(c) = c**2 - c + 1. Let n(h) = 3*h**2 + 5*h - 2. Let t(i) = n(i) + 2*q(i). What is the tens digit of t(-2)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -384 = -31*i + 23*i. Suppose -19*u + 28 + i = 0. Solve -u*g = -8*g for g.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(b) = 3*b**2 + 2*b + 1. Let f be x(-1). Suppose 0 = y - f*y + 6. Suppose y*d - 18 = 3*d. Is d prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*b + 3*b = 2*a - 16, 8*a = 4*b. Let d(h) be the first derivative of 8 - 4\/3*h**3 - b*h**2 - 16*h. Solve d(j) = 0 for j.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -5.0643 + 0.0643. What is the nearest to -2 in -2\/9, 5, n?\nAnswer: -2\/9","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((748\/33)\/17)\/(2\/12)?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 2*(sqrt(90)\/sqrt(2))\/sqrt(9) - (sqrt(125) - (sqrt(125) - (2 + (sqrt(125) - (1 + sqrt(125))))**2)).\nAnswer: -1 + 2*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let z(b) be the first derivative of -3*b**2 + 15*b - 640. Determine z(6).\nAnswer: -21","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -10 = 5*m, 5*i - m + 88 = 39 + 46 for i.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 19*d + 8*d = 270. Solve 12 - d = y for y.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-2)\/(-4)*(72 - (-12 + 200)).\nAnswer: -58","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-1 - (1 - 1))\/((-1)\/4).\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) -2 (b) 2\/15 (c) -4 (d) -0.1 (e) -118\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from dxsiisdais. Give prob of sequence sad.\nAnswer: 1\/120","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(49) - sqrt(784)*-6) + sqrt(49))\/(sqrt(7) + 1*sqrt(1008) + sqrt(7)).\nAnswer: 13*sqrt(7)\/7","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 3825 and 940575.\nAnswer: 75","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 10286292 and 544.\nAnswer: 68","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -4 + sqrt(99) + (sqrt(99) + sqrt(99)*2 + sqrt(99))\/sqrt(9) + -1.\nAnswer: -5 + 7*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-2 + sqrt(612))*6 + sqrt(612) + 5*sqrt(612)*-2)**2 - (-4 + -3 + (-1 + sqrt(2448))*-2)**2.\nAnswer: -4165 + 192*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let j(u) be the second derivative of u**5\/20 - 23*u**4\/12 + 11*u**3\/3 + 27*u**2\/2 - 6*u. Let l be j(22). Is 5139\/l + 2\/9*3 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -9*r + 4*r + 30 = -v, 2*r = -2*v. Let q = 0.6 - 0.9. Let y = -8 - -7. Which is the nearest to y? (a) r (b) q (c) -1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m be 245\/14 + 1\/2. Let z = m + 4. What is the common denominator of z and (13\/(-351))\/((-2)\/174)?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: e (base 16) to base 9\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -11 = 5*d - 1. Let w = -6.3 + 6.1. What is the second biggest value in 5, d, w?\nAnswer: w","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 6029?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 3149?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is 123253 a multiple of 127?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose c + 13 = w - 3*c, -4*w + 4*c + 100 = 0. Is 19 a factor of w?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -2*j**3*t**2 - 12*j**3 - 2*j*t - 649*t**3 + 22*t wrt t.\nAnswer: -4*j**3 - 3894*t","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -284125 divided by 2273.\nAnswer: -125","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: How many tonnes are there in 4121.939mg?\nAnswer: 0.000004121939","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in -93, -4\/7579, 11, 0.4, -1\/7?\nAnswer: -4\/7579","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 744289.\nAnswer: 7, 13, 8179","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve 186*l + 10727 + 3037 = 0 for l.\nAnswer: -74","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let a be 99\/(-3) + 1 + 0. Let t be (-21)\/24 - (-4)\/a. What are the prime factors of (-1)\/(t*3\/174)?\nAnswer: 2, 29","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -8, 1.8, 1\/4, -0.1, -3 in descending order.\nAnswer: 1.8, 1\/4, -0.1, -3, -8","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -t = 5*y + 841, 4*y + 12*t - 10*t = -668. Let j = y - -169. Solve j = p + p for p.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -94 + 91. Let x = 0 - 0. What is the closest to x in -1\/5, 2, u?\nAnswer: -1\/5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of 156232, 312468, 468704, 624940, 781176, 937412?\n\"Answer: 156236*n - 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let y be ((-175)\/(-15))\/7 + (-4)\/6. Suppose -y = -g + 7. Suppose j = -g + 28. What is the tens digit of j?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 29, 75, 147, 257, 417, 639?\nAnswer: 935","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 881195?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is one quarter of a millisecond in microseconds?\nAnswer: 250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -0.03 + -0.17. Let o = y + 0. Let v = -78.5 + 78. Which is the closest to o? (a) v (b) 3 (c) 5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -i + 8*v + 31 = 4*v, 5*i - 132 = -3*v. Calculate the highest common divisor of 513 and i.\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 12 - 45 - (-3486)\/98?\nAnswer: 18\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -82b2 (base 16) to base 3.\nAnswer: -1200220012","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is -774\/5 at most as big as -154?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -36\/697159 and -1\/34658.\nAnswer: 18126134","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let p(n) = 0 + 3*n**3 + 2*n + 2*n**2 - 5*n**3 - 2. Calculate the remainder when p(-2) is divided by 4 + (-6 - -4) + 8.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from hrjjeh. Give prob of sequence hjrh.\nAnswer: 1\/90","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 15839 + 217?\nAnswer: 16056","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*c + 469 + 195. Let d = 1661\/5 + c. Let f = -6.5 + 6. Sort f, 0.04, d in ascending order.\nAnswer: f, 0.04, d","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(a) be the first derivative of 9*a**2\/2 + 5*a + 119. Let x(j) = -7*j - 3. Let z(i) = 4*k(i) + 5*x(i). Calculate z(-6).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*a - 22 = -5*d, 0*a - 4*d + 5 = a. Let t be ((-440)\/a)\/(5\/(-330)). Let l be 50\/(4\/t*1). What is l rounded to the nearest 100000?\nAnswer: -100000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of 117, 1133, 3947, 9459, 18569, 32177, 51183, 76487?\n\"Answer: 150*f**3 - f**2 - 31*f - 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand (7*g**2 - 2*g**2 - 3*g**2)*((-2*g + 0*g + 4*g)*(-3 + 4 + 2) + 824 - 824 - 26*g) + (-2*g**2 + 2 - 2)*(4 - 4*g + 6*g - 8)*(-1 + 0 + 2).\nAnswer: -44*g**3 + 8*g**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let d be 2*(1\/2 + -2). Is (7\/d)\/(5\/(-12135)) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -47 = 27*a - 20 for a.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -o - 2*o + 135. Suppose -o = d - 4*d. What is the tens digit of d?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 25505 is divided by 752?\nAnswer: 689","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -11061*x + 16952*x - 267584 + 26053 for x.\nAnswer: 41","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Put 123, -1, 4 in decreasing order.\nAnswer: 123, 4, -1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*t + 7 = 5*q - 8, 3*q = 3*t + 3. Which is the third biggest value? (a) -3 (b) t (c) -0.2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -9*g - 5*g - 14*g + (-4 + 5 - 2)*(-59*g + 20 - 20 + 2*g).\nAnswer: 29*g","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*s = 3*s - a - 12, 2*s + 4*a + 4 = 0. What is the common denominator of (-632)\/(-30) + 4\/(-10) and ((-1500)\/(-495))\/(s\/(-3))?\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -136 + 139. Is 12 a factor of 528*(c + (-30)\/12)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -314 - -312. What is the nearest to -393 in -4, 2, i?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is eleven halves of a century in years?\nAnswer: 550","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: How many nanometers are there in 2.842938 micrometers?\nAnswer: 2842.938","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-6)\/(-27))\/((6\/1110)\/(153\/(-510))).\nAnswer: -37\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: -1.1 times -12\nAnswer: 13.2","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve 447*r = 451*r - s + 8, 3*s - 7 = -5*r for r.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 11*v - 26034 = 43992. Suppose v = -45*c + 16221. Calculate the highest common divisor of 146 and c.\nAnswer: 73","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 3625476553 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 85424349 to the nearest integer?\nAnswer: 9243","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*a - 4*v + 278 = 0, -a + 91 = -2*v + 3*v. Let w(x) = 4*x**2 - x. Let z be w(-1). Suppose -a = -3*p - z. What is the tens digit of p?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in 3\/8, 0, 0.5, 0.1, -1\/2, 0.2?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -560 divided by -5.\nAnswer: 112","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let p(v) be the first derivative of -v**7\/945 - v**6\/270 + v**4\/54 + v**3\/27 - v**2 + 2. Let t(d) be the second derivative of p(d). Solve t(w) = 0 for w.\nAnswer: -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 15 + -4 - ((-16 - -11) + 14) - 11.\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -10 - -5. Let q(z) be the second derivative of -z**4\/4 - 4*z**3\/3 - z**2 - 3*z. Let b(r) = 7*r**2 + 17*r + 4. Let l(k) = -2*b(k) - 5*q(k). What is l(j)?\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (3 - -3) + -3 + 1 - (-203 - -204)?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: -6404 divided by -99224\nAnswer: 1601\/24806","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 3.271079l?\nAnswer: 3271.079","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((x\/x**(-11))\/x**(1\/6))\/(x**(-1\/4))**(-1\/93) assuming x is positive.\nAnswer: x**(1467\/124)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 99567 - 53240. Is q a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 16321*y**4 + 36256?\nAnswer: 65284*y**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is (((-3)\/(-1))\/(18\/(-12)))\/10?\nAnswer: -1\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 55 - 43. Suppose u*b = 5*b + 168. Which is bigger: b or 23?\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y be 2 + (-2 - -1) - (0 - -95). Let f = y - -100. Suppose -30 = -m - 2*p + 5*p, 2*m = -4*p + 10. What is the remainder when m is divided by f?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many milligrams are there in fifty-three quarters of a gram?\nAnswer: 13250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Sort -0.1, 1.5971, 1\/2, -1 in descending order.\nAnswer: 1.5971, 1\/2, -0.1, -1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (-3 - (-1 + -2)) + 0. Let c(m) = 5*m**2 - 4*m**2 - m - 2*m**2. Calculate c(t).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -15*h**3 + 38*h**2 - 9*h**3 + 24*h**3 - 26*h**5 wrt h?\nAnswer: -1560*h**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:40 PM and 2:49 AM?\nAnswer: 669","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-1*sqrt(8)*-4)\/sqrt(4).\nAnswer: 4*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -8380 or -913298\/109?\nAnswer: -8380","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -8*z + 17 - 1. Suppose z*o - 4*o = -0*o. Suppose 5 = -f, o*f = -2*n + 3*f + 5. Let q(x) = 5*x + 5. What is q(n)?\nAnswer: -20","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 3702467869 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -8*y - 43 + 3. Let z be (-1 - y) + (2 - 4). What is the second derivative of 24*w + 948*w**z - 948*w**2 - 24*w**4 wrt w?\nAnswer: -288*w**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -2, -13, -30, -53, -82, -117, -158?\nAnswer: -205","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Express -2*n**3 + 1 - 1 + (2*n - 6*n + 2*n)*(-n**2 - 2*n + 2*n) - 3271*n**3 - 4144*n**3 + 2743*n**3 in the form j*n**3 + f*n + h + w*n**2 and give j.\nAnswer: -4672","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 20951967 and 3054.\nAnswer: 1527","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -4 + 0 + sqrt(396) + 2*sqrt(396) + 6*(sqrt(275) + sqrt(11))*3 + 2.\nAnswer: -2 + 126*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 7497 - 3878. Is 50 a factor of t?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(x) = 21*x**2 - 14*x - 14. Let i(k) = 7*k**2 - 5*k - 5. What is 14*i(f) - 5*o(f)?\nAnswer: -7*f**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 2*n**2 + 2 + 9934*n - 2*n**2 + 2*n**3 - 8630*n to the form d*n**2 + x*n**3 + c + y*n and give c.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let u be 8\/117 - ((-204)\/54 + 4). Is u less than or equal to -1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(c) be the third derivative of c**7\/1050 - c**6\/600 - c**5\/300 + c**4\/120 + 9*c**2. Let d(r) = 0. Calculate r.\nAnswer: -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 23 and 57?\nAnswer: 1311","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 2*-12*2\/(-96)*-5*11\/110.\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -142 in 0, -3, 0.5, 2?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 288 and 18?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Convert 1485 (base 10) to base 11.\nAnswer: 1130","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 h and 1 y when two letters picked without replacement from oyyhoyyoooy?\nAnswer: 1\/11","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -287305, -287024, -286743, -286462?\nAnswer: -286181","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -14649 - -14648.4. Let n be (-8)\/(-5) + 10\/(-25). Which is smaller: c or n?\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(k) = -k + 2. Suppose -9 - 6 = -5*i. Suppose 2*n = 3*n - 5*x + 21, -2*n - i*x = -23. Suppose -3*t = -2*y + n - 20, -5*y - 2 = 2*t. What is s(t)?\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 137*o**3 + 4*o**4 + 7844*o**2 + 4846*o**2 + 150*o**3 + 81*o**3 - 4226*o**2.\nAnswer: 4*o**2*(o + 46)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 35*w**2 + 9*w**2 - 30*w**2 - 1 + 83*w**2 + 13*w**2.\nAnswer: 110*w**2 - 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((t\/t**(-6))\/(t\/t**1)*t**4\/t**(2\/3))**25 assuming t is positive.\nAnswer: t**(775\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 1\/6? (a) 4 (b) -0.05485 (c) -5 (d) -1\/4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 103 - 101. Suppose -5*m = 2*c + 43, 35 = -c - h*m + 15. Let q be 7\/c - 217\/(-2). Calculate the highest common factor of q and 27.\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 1 in 0.04, 0.12, -5, -2?\nAnswer: 0.12","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve -434848*c + 434851*c + 72 = -3*u, 0 = 3*u - 5*c - 88 for u.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let q(i) = i - 12. Let t be q(17). Suppose p + t*u = 24, 4 = -2*p + 2*u - 8. Let l = 45 - p. List the prime factors of l.\nAnswer: 2, 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 48, 77, 130, 219, 356?\nAnswer: 553","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*t - 6048 - 3772 = -2*h, h = -2*t + 4907. Suppose -2*m - 2*i + 2772 = 804, 5*m = 2*i + h. Is 86 a factor of m?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 99 + -99.2. Let q = 0.1 + -0.1. Let x = 1 + q. Which is the second biggest value? (a) -1 (b) p (c) x\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -732678 or -0.11?\nAnswer: -732678","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Factor g**2\/3 - 520*g + 202800.\nAnswer: (g - 780)**2\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 g and 1 p when two letters picked without replacement from {p: 1, j: 2, c: 1, g: 1}?\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Does 12 divide 986892?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 0.3 + -0.3. Let f = 0.9 - -3.1. Which is the nearest to 1? (a) 2\/9 (b) g (c) f\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 58097314 divided by -2?\nAnswer: -29048657","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 610 minutes after 10:50 PM?\nAnswer: 9:00 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of 3886447, 3886442, 3886435, 3886426?\n\"Answer: -g**2 - 2*g + 3886450","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -64734*a**3 - 29231*a**2 wrt a.\nAnswer: -388404","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((sqrt(5472) - sqrt(5472)*1) + sqrt(5472) + sqrt(5472))\/(sqrt(96)\/sqrt(3)))**2.\nAnswer: 684","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 20937 is divided by 1395.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -2 in 1120, -1\/2, -3\/7, -3, 5\/49?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is 273 a multiple of 13?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is 14 + -405?\nAnswer: -361","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 142428 divided by 3?\nAnswer: 47476","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let u(f) = -51*f + 1493. What is the remainder when 1659 is divided by u(29)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (4*l - 4*l - 2*l)*(0 + 4 - 5) + (0*l + 0*l - l)*(0 + 0 + 2) - 10*l - 19*l + 2*l + (-2 - 2 + 2)*(1 - l - 1) to the form s + g*l and give s.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is 9840401 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let k(p) = -4*p. Let j be (2\/4)\/(2\/28). Let s(l) = l - 5. Let i be s(j). Let b(m) = -2*m - i*m**2 - m + 3*m. Determine k(b(g)).\nAnswer: 8*g**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 53\/46380 and 53\/208710?\nAnswer: 417420","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1269?\nAnswer: 3, 47","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is 19 a factor of 239513221?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let c(n) = n**2 - 15*n - 18. Let i be c(17). Let r(w) = 24*w**2 - w - 1. Let p be r(-1). Calculate the highest common divisor of p and i.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 738372108?\nAnswer: 2, 3, 1493, 41213","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 903 + -902. Which is the nearest to j? (a) -4 (b) 0 (c) 0.013\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.00039906 rounded to 6 decimal places?\nAnswer: 0.000399","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 7419306 and 93870.\nAnswer: 894","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -323612565\/16 - -1055301835505\/52176. Let y = 5\/2174 - s. What is the common denominator of y and -3\/73?\nAnswer: 438","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 z when two letters picked without replacement from {z: 2, n: 4}.\nAnswer: 1\/15","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-16)\/40)\/(9\/(-225)*-95)?\nAnswer: -2\/19","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 k and 1 w when two letters picked without replacement from {j: 6, w: 7, k: 1}?\nAnswer: 1\/13","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -2\/9 in 0.2, -5, 0, -3?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 432 minutes after 2:44 AM?\nAnswer: 9:56 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -10.1975 - 10.8277. Let k = -21 - b. Round k to 3 decimal places.\nAnswer: 0.025","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -1123*t**5*u + 192*t**3*u - 2*t**2 + 171*t*u - 153*t - 5*u wrt t.\nAnswer: -22460*t**3*u + 1152*t*u - 4","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -681, -2684, -6009, -10650, -16601?\nAnswer: -23856","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 8530 - 59709\/7. Suppose 0 = 2*x + 2, x + 19 = -5*t - 3*x. What is the fourth biggest value in l, -2\/17, 1, t?\nAnswer: t","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (y**(-2\/11)\/y*y**(2\/29))**(2\/133) assuming y is positive.\nAnswer: y**(-710\/42427)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of 708413, 1416855, 2125357, 2833949, 3542661?\n\"Answer: 5*d**3 + 708407*d + 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (-28)\/(-105)*-3 - 28\/(-10). Solve -m - x*m + 12 = 0 for m.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -0.06 + 2.06. Let x = d + 3. Let c = 0.03 - 0.53. What is the nearest to -0.2 in x, -2\/13, c?\nAnswer: -2\/13","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine a, given that 3*a**3 - 528*a**2 - 531*a = 0.\nAnswer: -1, 0, 177","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: How many seconds are there in nine tenths of a hour?\nAnswer: 3240","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -p + 6*p = 140. Let w be 770\/50 + (-3)\/((-30)\/(-4)). Suppose 3*m = 60 - w. Calculate the remainder when p is divided by m.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 85687 is divided by 85566?\nAnswer: 121","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Work out 13.254 - -0.1.\nAnswer: 13.354","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let j be -1 + 1514\/1 + 1 + -2. Suppose -j = -i + 2*x + 146, 4*i - 4*x = 6652. Let t = -599 + i. Is t composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1386880331 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {i: 3, u: 5}. What is prob of picking 2 u?\nAnswer: 5\/14","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -1? (a) 1\/6 (b) 21 (c) 5 (d) 6\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let c be 2\/1*-1 + -14. Let z = c + 33. Calculate the remainder when 32 is divided by z.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -174204133*f**2 - 93392246*f wrt f?\nAnswer: -348408266","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0*b - b - b)*(b**3 - b**3 + b**4) + 0*b**5 - 4*b**5 + 2*b**5 + 88*b**5 + 703*b**5 + 4*b**4 - 4*b**4.\nAnswer: 787*b**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*p = -5 + 71. Let n = -37 - -49. What is the remainder when p is divided by n?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -29\/3410 and 16\/2497?\nAnswer: 774070","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: 0 divided by -4826\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of 332, 1423, 3242, 5789, 9064, 13067?\n\"Answer: 364*p**2 - p - 31","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (-16)\/(-6) + (70\/(-15) - -4). Let x(v) = 3*v**3 + 1. Give x(b).\nAnswer: 25","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 3 - 3 - 8*g**3 - 4*g.\nAnswer: -8*g**3 - 4*g","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Does 7 divide 13?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 42083045?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Put 98, 135, -5, -27, -10 in ascending order.\nAnswer: -27, -10, -5, 98, 135","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 20 = 2*v + 2*v. Suppose -v*k + 10 = -5*i, 32 = -3*i - 4*k + 5. Let u(o) be the second derivative of -o**4\/12 - o**3 + 2*o**2 - 4*o. Calculate u(i).\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(s) = -s**2. Let z(k) = 280*k**3 + 2*k**2 - 243. Let c(l) = 2*d(l) + z(l). Differentiate c(y) with respect to y.\nAnswer: 840*y**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 59\/4 of a milligram in micrograms?\nAnswer: 14750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Subtract 709 from -3.\nAnswer: -712","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 100873*u**4 + 2*u**2 + 7263*u + 7 wrt u.\nAnswer: 2420952*u","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence opu when three letters picked without replacement from aoappuapapaaoosoac?\nAnswer: 1\/306","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 70, 130, 190?\nAnswer: 250","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let u(i) = 6*i**2. Suppose -2*z = -1 - 9. Let c = z - 3. Let j(y) = 3*y**2 - 4*y**2 + 2*y**c. Calculate j(u(p)).\nAnswer: 36*p**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let l(h) = 2*h**2 - 15*h. Let a be l(10). Suppose -j + 88 = 3*n + j, 0 = 2*n - j - 54. Let g = a - n. Is g a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -384.92 to the nearest 100.\nAnswer: -400","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 198\/(-1980)*(6 + 4)*((1 - 1) + 103).\nAnswer: -103","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8666 + 5134 = 5*q. What is q rounded to the nearest 100?\nAnswer: 2800","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (5*(2 + sqrt(1539)) + -2 + -1 + 1 + sqrt(1539) + 2)*6 + 4.\nAnswer: 64 + 324*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 b when two letters picked without replacement from {z: 1, h: 4, b: 5}?\nAnswer: 2\/9","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of (-1 - (-872)\/256) + -2 and 91\/10.\nAnswer: 160","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 34 = -2*v + 6*h, -194*v + 4*h - 26 = -192*v for v.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*c - 3*t - 12 = 0, -5*t - 23 + 3 = c. Let o(h) = -16*h + 8*h + c*h - 15*h - 2. What is the units digit of o(-4)?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: 4054 times -4\nAnswer: -16216","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 859403 and 14137.\nAnswer: 211","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 507959217?\nAnswer: 3, 6037, 9349","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Convert 55 (base 14) to base 2.\nAnswer: 1001011","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 572 minutes after 11:00 PM?\nAnswer: 8:32 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is (-52 - -62 - (-2581)\/(-264)) + 12\/(-66)?\nAnswer: 1\/24","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of -61606, -123184, -184762?\n\"Answer: -61578*b - 28","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth root of 27330463 to the nearest integer?\nAnswer: 31","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Expand -5*o**5 - 3*o**5 - o**5 + (-3 + 3 - 2*o**2)*(-5*o**3 + 0*o**3 + 4*o**3).\nAnswer: -7*o**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is 1 + 127216?\nAnswer: 127217","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -66676 or -66832?\nAnswer: -66676","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 483164 or 483055?\nAnswer: 483164","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 2.962172 - 18.961962. Let k = 16 + f. What is k rounded to 4 dps?\nAnswer: 0.0002","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -9969 equal to 676\/3?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*g = 2*l - 58, -18*l + 14*l = -3*g - 141. Solve -53*y + 84 = -l*y for y.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -3*b - 12, 6*o - 8*o - 2 = -2*b for o.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 t when two letters picked without replacement from dqzttttzq?\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -10 + 10 - 69*s**2.\nAnswer: -69*s**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 8 + 126*g - 127*g + 5*g**2 - 6 to the form o*g + z*g**2 + t and give t.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let w(p) be the first derivative of -6*p**2 + 14802. Let h(m) be the second derivative of 5*m**4\/6 - m. Determine w(h(g)).\nAnswer: -120*g**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -8789 - -9047. What is the remainder when 600 is divided by a?\nAnswer: 84","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -56*u + 1209 - 3561 for u.\nAnswer: -42","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) -1\/14 (b) 0.222 (c) -1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: 805\/4830 + ((-38)\/(-300))\/(-1)\nAnswer: 1\/25","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(x) be the second derivative of x**5\/20 - 5*x**4\/12 - x**3 + 3*x**2\/2 - 2*x. Let r be d(6). Sort -5, -2, r, 2 in increasing order.\nAnswer: -5, -2, 2, r","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(n) = -8*n + 24*n**3 - n**2 - 13*n**3 + 5 - 2 + 1. Let m be i(3). Suppose -2*a + m - 52 = 0. Is 36 a factor of a?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -223\/840420 and -131\/2700.\nAnswer: 12606300","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: How many milligrams are there in 2700.674 tonnes?\nAnswer: 2700674000000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 4\/9 in -67, 1\/14, -0.3?\nAnswer: 1\/14","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 8? (a) 0.5 (b) -0.6 (c) 3\/5 (d) -2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: (2754\/27)\/(((-8379)\/(-56))\/(-57)*20\/(-7))\nAnswer: 68\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (252\/4)\/3*490\/(-2058)*-15?\nAnswer: 75","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.249886048 to four dps.\nAnswer: 0.2499","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of r*y**2 + r*y - 23*r + 29673*y**3 - 5*y - 3 wrt y?\nAnswer: 2*r + 178038*y","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Product of 7 and 1161211.\nAnswer: 8128477","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*w + 2*x + 348 = 0, w = 6*w + 4*x + 578. Let p be ((-402)\/(-3))\/((-4)\/w). Let y = 78987\/20 - p. What is the common denominator of y and -61\/6?\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -74258, -74359, -74520, -74729, -74974?\nAnswer: -75243","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:42 PM and 5:28 AM?\nAnswer: 706","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 42 and 1157268.\nAnswer: 1157268","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 1001 - 1003. What is the nearest to 2\/7 in p, -1, -73\/4, -0.1?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 360 and 45?\nAnswer: 360","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is 434 + (-4 - -13)\/3 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(k) = -k + 6. Let w be m(4). Suppose 0 = 5*r - 4*d + 21, 0*r + 3*r - 5 = -w*d. Is -1*(-31 - (r + 0)) a multiple of 15?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -2\/5 + 3\/5. Let d(v) be the first derivative of 0*v - 2\/3*v**3 + 0*v**2 + 1 + 1\/4*v**4 + h*v**5. Factor d(w).\nAnswer: w**2*(w - 1)*(w + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.81692799 - 3?\nAnswer: -2.18307201","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Express (b - 6*b + 3*b)*(0*b**2 - 2*b**2 + b**2) + (-24*b**2 + 24*b**2 + 8*b**3)*(-33 + 19 + 47) as g*b**3 + o*b**2 + d + u*b and give g.\nAnswer: 266","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: How many milligrams are there in fourty-five eighths of a gram?\nAnswer: 5625","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let k(n) = 9*n - 192. Determine k(22).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -0.3 + 0.2. Let p = t + 0. Let h = -1192 - -1194. Put h, p, -3 in ascending order.\nAnswer: -3, p, h","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -24655\/2 - -13624. Let g = -1249 + o. What is the common denominator of g and (-2)\/1 + 23\/2?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 22 divide 38456?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 1177824?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: -3256043.11265 + -33\nAnswer: -3256076.11265","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Put -3, 9, 1.2, -2\/9, 0.33 in ascending order.\nAnswer: -3, -2\/9, 0.33, 1.2, 9","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between 1386124 and 6.25689?\nAnswer: 1386117.74311","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Put -16, 238, 5 in decreasing order.\nAnswer: 238, 5, -16","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(190)*-1 + sqrt(190))*-1 - sqrt(190))\/(sqrt(10) - -5*sqrt(10)*-6).\nAnswer: sqrt(19)\/29","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: How many hours are there in 10\/7 of a week?\nAnswer: 240","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Factor -5*o**3 + 185*o**2 + 20645*o - 20825.\nAnswer: -5*(o - 85)*(o - 1)*(o + 49)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: How many kilograms are there in 13.5136 tonnes?\nAnswer: 13513.6","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let b(r) = -r + 2. Let l be b(-6). Suppose 0 = 5*d - d - l. Let h be 6\/(-2)*1 + 6. Solve h*n + 1 = 4*g, -4*n - d*g = g - 7 for n.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 220459777 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 5*((sqrt(196)\/sqrt(7))\/sqrt(2)*6)\/(-3*sqrt(4)\/sqrt(2) + sqrt(24)\/sqrt(108)).\nAnswer: -45*sqrt(7)\/4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*b = 5*x - 0*b + 24, 0 = -x + 2*b. Let t(y) = -6*y. Let u(c) = -c. Let i(d) = x*u(d) + t(d). Let o(f) = -2*f. What is i(o(a))?\nAnswer: 4*a","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 170 - 0. Let a = r + -169. What is the closest to a in -5, 5, 0.12?\nAnswer: 0.12","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 19*s - 228028 = -1719. Is s a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: 1425 (base 10) to base 3\nAnswer: 1221210","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: -3007109844 - -38\nAnswer: -3007109806","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 341402 + -222183. Is s a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*j - 49 = 79*o - 80*o, -5*o - 28 = -j for j.\nAnswer: 13","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify t**2*((t**(-2\/13)\/t)\/t*t*t)\/t*t**(-1\/4)*t**5*t\/(t\/(t*(((t\/(t*t**(-2\/9)*t))\/t)\/t)\/t))*t*t**(1\/5)\/t*t*t*t**(3\/4)*t**3 assuming t is positive.\nAnswer: t**(10259\/1170)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let p(k) = 11*k**3 + 3*k + 14. Let g(n) = -12*n**3 - 2*n - 14. Determine -3*g(s) - 2*p(s).\nAnswer: 14*s**3 + 14","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let s be ((-240)\/1760)\/((-63)\/4). Is s at most as big as -2\/9?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (c + 0*c - 3*c)*(-c - 2*c + 5*c + (0 - 5 + 4)*(-3*c - c + 2*c) - 4*c + 5*c - 3*c + c - 19 + 19 + 0*c + 2*c + 6*c + 4*c - 3*c - 2*c).\nAnswer: -20*c**2","meta":{"dup_signals":{},"source":"polynomials__expand_test"},"subset":"dm_maths"} +{"text":"Question: Let n = -2 + 1. Let t(r) = 3*r**3 - r - 3. Let u(c) = -c**3 + 1. Calculate n*t(i) - 2*u(i).\nAnswer: -i**3 + i + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Express (-b + 0*b + 3*b)*(-7*b**2 - b**2 - 2*b**2)*(2*b - 2*b + 2*b) as k*b**4 + q + i*b + a*b**3 + j*b**2 and give k.\nAnswer: -40","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (q\/(q*q\/(q**(-12)\/q*q)*q)*q**(-2\/9)*(q**(2\/31)\/q)\/q*q**5)**44 assuming q is positive.\nAnswer: q**(-136972\/279)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let f(m) = -4*m**3 + 60*m**2 - 18*m + 28. Is 14 a factor of f(12)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -2.8284 to 1 decimal place.\nAnswer: -2.8","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 670 and 10.\nAnswer: 670","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose y - 2*p = 5, -5*p - 14 = -3*y - 0*p. Factor 0 - 6\/5*h**4 + 6\/5*h**2 - 3\/5*h**5 + 0*h**y + 3\/5*h.\nAnswer: -3*h*(h - 1)*(h + 1)**3\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -2 divided by -486.\nAnswer: 1\/243","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: -25308360 divided by 924\nAnswer: -27390","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of 1242, 3887, 8292, 14457?\n\"Answer: 880*x**2 + 5*x + 357","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 1290 and 20.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the sixth biggest value? (a) 1\/7 (b) 0.58 (c) -3 (d) 0 (e) -20 (f) -1\/3 (g) 0.3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:32 PM and 11:26 AM?\nAnswer: 714","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -25 - (-73 - 33 - -38 - 13).\nAnswer: 56","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve -14*f + 10*f = -5*q + 40, 5*f + 29 = q for f.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is 1013 + -1332?\nAnswer: -313","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 173970094 is divided by 24?\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 133 = 4*d + 5*y, d + 1425*y - 1427*y - 30 = 0. Calculate the highest common divisor of 560 and d.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -1458 and -64.08?\nAnswer: 93428.64","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is 902 a multiple of 22?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 14*z - 797 = -125. Suppose -z = -5*l - 28. Solve -5*a + l*b + 28 = 0, -2*b = 3*a - 10 + 2 for a.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(j) = -4*j**3 + 2 - 5 + 2. Let d be b(1). Let v = -9 - d. Which is greater: v or -2?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u be 2 - 4*(-3 - 3). Let r be 48\/(-12) - u\/(-4). What is h in -r*h - 1 - 1\/2*h**3 - 2*h**2 = 0?\nAnswer: -2, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(h) = 39*h**2 - h. Let n be 6\/(-10) - 7\/5. Let q be i(n). Let r = -38 + q. Does 28 divide r?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(u) = 77*u - 195. Calculate the least common multiple of n(3) and 188.\nAnswer: 1692","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(a) = -a + 8. Let t be l(6). Let u(i) = 2*i**2 - i - i**3 + 1 + 3*i + t. Let m be u(3). Put 2, m, 3 in decreasing order.\nAnswer: 3, 2, m","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(r) be the second derivative of r**3\/6 + 4*r**2 - 3*r. Give i(-7).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in 5, 0.3, -0.5, 1\/3, 1\/140, -0.03, 1\/2?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is -84150 rounded to the nearest one thousand?\nAnswer: -84000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let w(h) = h**2 + 195*h - 7 + 4 - 4 - 219*h - 2. List the prime factors of w(-9).\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 557 is divided by 265?\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 252 minutes after 2:43 PM?\nAnswer: 6:55 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -86 - 9934*q + 10154*q - 75 wrt q?\nAnswer: 220","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 3930.\nAnswer: 2, 3, 5, 131","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 1 or 10399\/6290?\nAnswer: 10399\/6290","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 72 - 15. Suppose 0 = -4*f + j + 19. What is the units digit of f?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(y) = y**2 + 32*y + 216. Let k = 3430 + -3440. Give j(k).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 4478 is divided by 40.\nAnswer: 38","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Express (0 + 6 - 3)*(-5*u + 4*u - 2*u)*(-u + 5 - 5) as t + x*u + h*u**2 and give h.\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let s(r) = -321*r. Let g(o) = -32*o. Calculate -21*g(a) + 2*s(a).\nAnswer: 30*a","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -50 + 50.1. Which is greater: x or 46?\nAnswer: 46","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(i) = 5*i**2. Let k(n) = 154*n - 471*n + 151*n + 143*n. Give k(s(x)).\nAnswer: -115*x**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((d**3\/(((d\/(d\/(d\/d**(-5))))\/d)\/d))\/((d**(1\/4)*d)\/((d*d**6)\/d)))**(-5\/13) assuming d is positive.\nAnswer: d**(-75\/52)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is 1103 a factor of 3767518?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is 3db9 + -10?\nAnswer: 3da9","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 1161 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: Let t(j) = -6*j**3 - j**2 - 8*j + 7. Let u(p) = -12*p**3 - p**2 - 15*p + 15. Let f(c) = 7*t(c) - 4*u(c). What is the hundreds digit of f(3)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 79\/100 + 1\/100. Sort -0.6, x, 2, -7.\nAnswer: -7, -0.6, x, 2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(y) = -10*y**2 + 8*y. Let n(g) be the second derivative of -g**4\/12 + g**3\/6 + 2*g. Determine 8*n(r) - z(r).\nAnswer: 2*r**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -71\/12 and 151\/894?\nAnswer: 1788","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is 3433726551 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose i = 4*l + l - 10881, 0 = -5*l - 4*i + 10901. Is l a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 76*x - 71 = 157. Let l be (2\/2 + 0)*0. Let m(w) = -w. Let a be m(l). Solve -5*f + 4*d = 16, a = -5*f - d - x + 7 for f.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4 + 16 = 4*p. Suppose 0*c - p*c = -9. What is the third smallest value in 5, -1, c?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -327 + 164 = 61*p - 1088 - 1637 for p.\nAnswer: 42","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((l**(-14)*l)\/l)\/(l*l**(-16)\/l) assuming l is positive.\nAnswer: l**2","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (5626\/(-87))\/(2292\/(-61)). Let w = h + -21\/191. Calculate the common denominator of w and 4\/2 + 51\/2.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*p + 4*d = -p, p = 4*d. Let x be 22 - (3 - (1 - p)). Let g be 4\/42 - 927\/(-189). Solve g*c - 5 = x for c.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -9*n**2 + 83*n - 83*n.\nAnswer: -9*n**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 31*h - 50122 = 12*h. What is the tens digit of h?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 647 + 55 = 26*f. Solve -f*s = -29*s - 10 for s.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -10 + 17094\/1804 + 24\/48?\nAnswer: -1\/41","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 2 in 646, 0.1696, 2\/15, 5\/4?\nAnswer: 5\/4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 55091 + -35756. List the prime factors of t.\nAnswer: 3, 5, 1289","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -0.05? (a) 0.1 (b) 0.1611 (c) 14 (d) 0\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 20 + -6. Let b = 20 - a. What are the prime factors of b?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-840)\/(-2800)*(-1020)\/18\nAnswer: -17","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between -26363.143286 and -17947?\nAnswer: 8416.143286","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:52 AM and 7:17 AM?\nAnswer: 265","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-25 + 34 - 30)*(-4*p + 0 + 1 + 3).\nAnswer: 84*p - 84","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0.3, -1, -48 in descending order.\nAnswer: 0.3, -1, -48","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from aaaacucxxahxahxxscxu. Give prob of sequence acu.\nAnswer: 1\/190","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -33 + 33 + 56029*g - 56021*g.\nAnswer: 8*g","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 11 take away 53728?\nAnswer: -53717","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: (-192)\/(-60) - 2\/10\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is 19 a factor of 5537?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is 3344333 - 1?\nAnswer: 3344332","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -1915*m**2 + 27*m + 10?\nAnswer: -3830","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -93261 or 52?\nAnswer: -93261","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify m\/(m**(1\/3)\/m*m*m)*(((m\/(m*m\/m**(-1)))\/m)\/m*m)\/m*(m\/(m*m\/m**0))**36 assuming m is positive.\nAnswer: m**(-121\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is 149\/(-5)*-20635 + -6 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -0.018*-559.3.\nAnswer: 10.0674","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 158093243?\nAnswer: 7, 11, 19, 108061","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let l(g) = 3*g + 11. Let x(j) = -9*j + 4. Let r(w) = -20*w. Let i(t) = 4*t + 1. Let f(z) = 3*i(z) + r(z). Let n(p) = 4*f(p) - 3*x(p). Determine n(l(b)).\nAnswer: -15*b - 55","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -58 + 69. Let r = 38 - 14. Suppose -r = -4*w - 0*w. What is the remainder when v is divided by w?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 7 greater than 0.9743?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Work out -3 * -0.6.\nAnswer: 1.8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 2, 23, 60, 113, 182, 267?\nAnswer: 368","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -261.2 + 259. Is h less than 7?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 149 minutes after 6:43 PM?\nAnswer: 9:12 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -520791, -520792, -520793?\nAnswer: -520794","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (4\/6 - 2\/(-6))\/3?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 32 and 160?\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 91934?\nAnswer: 2, 43, 1069","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.00002432267 to six decimal places.\nAnswer: -0.000024","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is 196457 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -917, -1689, -2439, -3161, -3849, -4497?\nAnswer: -5099","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 29.9723 - 0.0723. Let o = m - 27. Let d = 2.9000087 - o. Round d to 6 dps.\nAnswer: 0.000009","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 32*y**2 - 23*y + 23*y - 32*y**2 - 8*y**3.\nAnswer: -8*y**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -50\/81 and -16\/242415.\nAnswer: 2181735","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let t(m) = m**2 + 36*m - 37. What is t(1)?\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 10 in -2, 0.213, 4\/321?\nAnswer: 0.213","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -11 - 2 = 3*s + 5*k, -2*s + 3*k + 4 = 0. Let x be ((-6)\/8)\/s*12. Solve -2*a - 26 = 4*d - 4, 3*a + x = 0 for d.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -78 = -12*q - 14*q - 0*q. Let n(j) be the first derivative of 1\/4*j**4 - 2 - 4\/3*j**3 + 4*j - j**2. What is n(q)?\nAnswer: -11","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -118*c + 278 = 750 for c.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let o(j) = 2*j. Let a(y) = -441*y. Determine o(a(h)).\nAnswer: -882*h","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let b(l) = 4*l**2 + l**2 - 3*l**2. Let w(x) = x**3 + 4*x**2 + 4. Let q be w(-4). Let k(g) = 5*g - 5*g + q*g - 6*g. Determine k(b(y)).\nAnswer: -4*y**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Total of -21302289 and -25.63.\nAnswer: -21302314.63","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0*a = 3*a - 6 for a.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let j(a) = -14526*a + 649. Is j(-5) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is -a + 1d?\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -1806 - -2156. Does 10 divide y?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -10*(181\/(-362))\/((-3)\/18*-5)?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth smallest value in 2\/181, 0.3, 401\/8, 2\/13, -1, 3, -0.1?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*o + 4 = -8. Let g(a) = 25*a - 18*a - 4 + 5*a**o + 0*a**3 - a**3. Determine g(6).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 1374 + -4614. Let a = -1716 - t. List the prime factors of a.\nAnswer: 2, 3, 127","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {m: 3, i: 7, b: 5, w: 1, x: 3}. What is prob of sequence xxim?\nAnswer: 7\/5168","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((t**2)**(-43)*(t**1*t)**(-14))\/((t*t**(-11)\/t)\/(t\/(t*t*(t*t*t**12)\/t*t*t*t*t)))**(-5\/3) assuming t is positive.\nAnswer: t**(-307\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Express -2459*j**2 - 2440*j**2 + 7287*j**2 + 4*j - 2422*j**2 as z + b*j**2 + v*j and give z.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 90 minutes before 5:32 AM?\nAnswer: 4:02 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 8 - 7.5. Let v = 9.1 - 9. What is the closest to 1 in t, v, -3?\nAnswer: t","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) 3\/2 (b) 3 (c) -0.4 (d) 0.3 (e) 0.5 (f) 0.354 (g) -11\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-1 + sqrt(108)*-2 + 0 + 1 + 1 + ((sqrt(108) + sqrt(108) + sqrt(108)*1 + sqrt(108))*3 + sqrt(108) + sqrt(108))*4)**2.\nAnswer: 648*sqrt(3) + 314929","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: 16220980 * -1.2\nAnswer: -19465176","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 127 minutes after 5:14 PM?\nAnswer: 7:21 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -104 = -4*t + 2*t. What is the units digit of t?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*k + 0*k + 4*p = 126, -4*k = -4*p - 312. Does 56 divide k?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -1.2? (a) -3\/4 (b) -5 (c) 0.2 (d) 20876\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 556, 549, 538, 523, 504, 481, 454?\nAnswer: 423","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 62413836.\nAnswer: 2, 3, 109, 47717","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 104 + -98. Suppose -13*c = -n*c - 1729. List the prime factors of c.\nAnswer: 13, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2116 = 3*v - w + 2120, -2*v + w = 3 for v.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: 0.4 * -76\nAnswer: -30.4","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 11 and 37312.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -35 - -34.7. Let g = 0 + -0.1. Which is the second biggest value? (a) q (b) -3\/4 (c) g\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 2436 and 1168062?\nAnswer: 2336124","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -23 + 27. Let f be -5 + (-9)\/(-3) + 26. Suppose -5*d + 5*t + 34 + 6 = 0, -4*d + 2*t = -f. Solve -w = 2*n - d*n for n.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (-2)\/(130\/(-835)) - (-2)\/13. Solve -7 = -w + v, -w + y = -0*w - 4*v for w.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -300028 or 1?\nAnswer: -300028","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -1926 - -2812. What are the prime factors of c?\nAnswer: 2, 443","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-27)\/(162\/24)*33\/(-12)?\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 572 and 24?\nAnswer: 3432","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let z(i) = -30*i - 51. Let c(n) = 62*n + 103. Let m(k) = -2*c(k) - 5*z(k). Differentiate m(v) wrt v.\nAnswer: 26","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(g) = 5*g + 8. Let o(r) = -10*r - 17. Let x(q) = -2*o(q) - 5*p(q). Let b = -719 - -717. Let t be x(b). Solve j - 13 = 3*u, 2*j = -t*u + j - 8 for u.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-12)\/(-21))\/(28\/(-27048)*-23)?\nAnswer: 24","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Do 50305 and -1\/3 have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 71.14658 milligrams in grams?\nAnswer: 0.07114658","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0*o + o + 0*o)*(-4*o**2 + 4*o**2 - 4*o**2) + (-3*o - 5*o**2 + 3*o)*(2*o + 6*o - 4*o).\nAnswer: -24*o**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: 10.01*0\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of -144740, -144743, -144746, -144749, -144752?\n\"Answer: -3*o - 144737","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 15*g - 1493 = 3952. Let a = -21415\/59 + g. Which is greater: 1 or a?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -100 + 104. Let a(c) be the second derivative of 8\/9*c**3 - 3*c - 17\/36*c**t + 0 - 2\/3*c**2 + 1\/12*c**5. Factor a(v).\nAnswer: (v - 2)*(v - 1)*(5*v - 2)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 16 - n - 5 - 11 - 15*n**3 wrt n?\nAnswer: -90*n","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 36 - 64 = 4*w for w.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let v be 24\/20*5 - -1. Let n(l) = -3*l**2 - 199*l + 1748. Let w be n(8). Are v and w equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -112 + 322 = -30*g for g.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: 0.293 * 11.96\nAnswer: 3.50428","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 36 - -20. Suppose 158 + 32 = -19*m. Find the common denominator of -143\/18 and (-238)\/p*m\/(-7).\nAnswer: 126","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 5.321502s to nanoseconds.\nAnswer: 5321502000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 20724 = -j + 20738 for j.\nAnswer: 14","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 79810 divided by 46.\nAnswer: 1735","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: 1963 divided by 1963\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -28*w**3*z**2 - 2*w**3*z - 2*w**3 + z wrt z.\nAnswer: -56*w**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 185957353?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 113 + -69. What is the remainder when (t + 2)*2\/4 is divided by 13?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(j) = 161*j + 45252. What is s(-281)?\nAnswer: 11","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let r(c) = c**3 + 6*c**2 - 8. Give r(-6).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 1321*n - 1309*n = 1896. Solve 149*k = n*k - 45 for k.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in 4.4, -43, 1552?\nAnswer: -43","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*k + 6*k - 3*r = 3*k + 6*k - 44, 4*r = 15*k - 709 for k.\nAnswer: 47","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -916*v**3 - 2319*v**3 + 3233*v**3.\nAnswer: -2*v**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -540 - -1073. List the prime factors of i.\nAnswer: 13, 41","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 5 + -6. List the prime factors of ((-68)\/(-8) - o)*2.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) -1.9 (b) 2 (c) -3 (d) -54\/11\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: 473*(-31)\/(-189286)*(-4)\/11\nAnswer: -2\/71","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 3432\/5 + -31628\/45. Let w = -1951\/117 - z. Which is bigger: w or 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 8*w**4 - 4011163*w**3 + 14*w**2 + 5889*w - 483?\nAnswer: 192*w - 24066978","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let r(i) = 373*i + 1. Let d(a) = -6*a**2 - 6. Determine r(d(c)).\nAnswer: -2238*c**2 - 2237","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0*z + z - 3*q = -3, -4*q - 9 = 3*z for z.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is 3691 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Add 0.03 and -311197.\nAnswer: -311196.97","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve 618*q - 1226*q = -618*q - 230 for q.\nAnswer: -23","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is -96980000 rounded to the nearest one million?\nAnswer: -97000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -d + 32 = 3*d. Is 2\/d + (-588)\/(-16) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 5641 - 5623. Let m(w) = 2*w - 18. Let g(x) = -2. Give n*g(s) - 2*m(s).\nAnswer: -4*s","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: -52 times 10\nAnswer: -520","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (0*v - 3*v - 5*v)*(0 + 2 - 6) to z*v + p and give z.\nAnswer: 32","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let n(r) = 35*r - 13. Let j be n(5). Calculate the highest common divisor of j and 18.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (1\/(-1) - -2)*2. Calculate the common denominator of (4\/(-120))\/(m\/177) and (82\/(-21))\/((-24)\/14).\nAnswer: 180","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 264130 to the nearest 1000.\nAnswer: 264000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 2927478789 is divided by 14856?\nAnswer: 14853","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -2327693, -4655386, -6983079, -9310772, -11638465, -13966158?\nAnswer: -16293851","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*b + 18 = -x - b, 2*b - 4 = 0. Let s be ((-16)\/6)\/(8\/x). Suppose 3*y - 14 - s = 0. Is y a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 6692.256 millilitres to litres.\nAnswer: 6.692256","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 36452777?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of (-6)\/(-7) - 2780\/924 and -137\/2364.\nAnswer: 26004","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (4 - -4 - 11) + 2 + 1.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 36 and 10329888.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 2112?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 240 and 640?\nAnswer: 80","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (37 + -43 + 10)*(-10)\/8?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -21 + 6 = -5*w. Let f(n) be the second derivative of 0 + 0*n**2 - w*n + 1\/6*n**3 + 0*n**4 - 1\/20*n**5. Factor f(m).\nAnswer: -m*(m - 1)*(m + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(g) = 3*g - 3. Let u be x(2). Suppose 6*z = u + 15. Suppose 5*i = -2*k - 22, -4*i + 10 = -z*k + 23. Put k, -2, 0 in increasing order.\nAnswer: -2, k, 0","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (100*w + 356 + 38 - 98*w)*(-1 - 2 + 1).\nAnswer: -4*w - 788","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-3*(-2*(-3 + sqrt(1539) + 0 + (0 + sqrt(1539))*3) + (-2 + sqrt(1539) + sqrt(1539) + sqrt(1539) + -1 + sqrt(1539) - (-4 + -2*sqrt(1539)))))**2.\nAnswer: -2268*sqrt(19) + 55845","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 1146 - 429. List the prime factors of c.\nAnswer: 3, 239","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(r) = r**3 + 4*r**2 - 4*r + 4. Let a(s) = s**3 + 3*s**2 - 3*s + 4. What is -4*a(m) + 3*z(m)?\nAnswer: -m**3 - 4","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence vmv when three letters picked without replacement from hmbmmvv?\nAnswer: 1\/35","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 221147878 and 7448.\nAnswer: 1862","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 2100220 (base 3) in base 8?\nAnswer: 3275","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 53129082 to the nearest integer?\nAnswer: 7289","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve -v - 91 + 115 = -10*b - 2*v, 0 = -3*b + 3*v + 6 for b.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 848 is divided by 293.\nAnswer: 262","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is 464 a factor of 3835005726?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: -abc047 (base 13) to base 14\nAnswer: -777336","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let z(y) = -y**2 + 12*y + 8. Let l be (-1 + 4\/(-1))*(3 - 5). Let q be z(l). Let n = 23 + q. What is the units digit of n?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 15*u = -3*w + 11*u + 20, 4*w - 4*u - 8 = 0 for w.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 2759\/1102 + -2\/551. Which is the fourth smallest value? (a) -9.8 (b) -1 (c) -4 (d) w\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 169 is divided by 57?\nAnswer: 55","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: 5800608.9 times 0.2\nAnswer: 1160121.78","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of 748935, 2995756, 6740461, 11983050, 18723523?\n\"Answer: 748942*b**2 - 5*b - 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let r(u) be the first derivative of -u**3\/12 - u**2\/8 - 12. Factor r(b).\nAnswer: -b*(b + 1)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 3970 - 3987. Is i at most 8\/3?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of -588297, -588296, -588295, -588294, -588293, -588292?\n\"Answer: g - 588298","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Work out 4 - -0.056006621.\nAnswer: 4.056006621","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 86 + -43. Suppose -v + 0*v = -k. Find the common denominator of (17\/4)\/((-36)\/16) and v.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 47400409 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((((r**1\/r)\/r)\/r)\/(r**(5\/2)*r))\/((r**(2\/3)\/r)\/r*(r**(-3\/8)\/r*r)\/r)*(r*r\/(r**(1\/5)\/r))\/r**(-2)*(r*r**(3\/2))\/(r\/((r\/(r\/r**5))\/r)) assuming r is positive.\nAnswer: r**(901\/120)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-21 + 16)\/((-14)\/(-28)*(-2 + -2)).\nAnswer: 5\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is -1 less than -2942?\nAnswer: -2941","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -18*z + 1241 = 1115. Solve x + 5 = 0, j - 4*x + z*x + 13 = 0 for j.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence pypj when four letters picked without replacement from yjvjyytyypjvytp?\nAnswer: 1\/910","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (11 + 2 - 5) + 0 + -3.\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let z(t) = 3*t**2. Let n(k) be the first derivative of -11*k**5\/120 - 7*k**3 - 25. Let g(q) be the third derivative of n(q). Calculate z(g(v)).\nAnswer: 363*v**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let 141*v**2 - 222*v - 97*v**2 + 220 - 42*v**2 = 0. Calculate v.\nAnswer: 1, 110","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -43.391544 rounded to the nearest integer?\nAnswer: -43","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) -2\/21 (b) 0 (c) 4\/11 (d) 0.1 (e) -0.05 (f) 169\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -11*i**2 + 21*i**2 - 11*i**2.\nAnswer: -i**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {a: 1, i: 4, p: 2}. What is prob of picking 1 p, 2 i, and 1 a?\nAnswer: 12\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth root of 3576461 to the nearest integer?\nAnswer: 20","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-732)\/2074*(-2)\/(-6).\nAnswer: -2\/17","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4875217643109845*m**2 - 936770610*m - 45 = 0 for m.\nAnswer: -3\/31225687","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Does 31 divide 8498711?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -4 - -8. Suppose 0 = 2*d - 2*b + 8, -3*b + 4 = -2*b. Suppose -4*t = -d*m + m - a, -5*m - t + 20 = 0. Solve 0 = 3*i + 3*l - 2*l + m, 2*i + 5*l = 6 for i.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 0.3 - -0.1. Let b = -935 + 1607. Let u = b - 2012\/3. What is the biggest value in i, u, 3\/2, 10?\nAnswer: 10","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 11*d**2 - 18*d**2 + 144 + 8*d**2 + 33*d - 27 wrt d?\nAnswer: 2*d + 33","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -19 - 23166\/(-1222) - (-4)\/2068*868.\nAnswer: 18\/11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Add together -4630 and -0.1.\nAnswer: -4630.1","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 20078925.\nAnswer: 3, 5, 267719","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 22*a**5 + a**3 + 18*a**2 - a + 692.\nAnswer: 440*a**3 + 6*a + 36","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 14664 is divided by 666.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 18*w - 14*w - 4*w - 2*w**2.\nAnswer: -2*w**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*b + 5 = -3. Let c be (1 + -2)*(b + -2) - -1. Let l be (c - 4) + (-20)\/(-4). Solve l*r - 7*r - 25 = 0 for r.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: 8 - (8 - 5) - (4 - 2)\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 173 minutes before 1:34 AM?\nAnswer: 10:41 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is 4739935 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -2907\/5 + 581. What is the closest to 2 in 1, 5, 4, u?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 9*k - 4724 = -4958 for k.\nAnswer: -26","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 379*t = 4*s + 377*t - 4, 4*t = 3*s + 2. Let h be (2\/(-4))\/(1\/8). Put 3, s, h, 0 in decreasing order.\nAnswer: 3, s, 0, h","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Add together 2.7142 and 21.28.\nAnswer: 23.9942","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 307833?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 29 is divided by 19?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve -66*k + 18 = -84*k for k.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 6 = 2*x + 4*x for x.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 30692654 divided by 2?\nAnswer: 15346327","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(2178) + 2*sqrt(2178)*-2)**2.\nAnswer: 19602","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 687 minutes after 9:04 AM?\nAnswer: 8:31 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve -27*o + 159*o = 3960 for o.\nAnswer: 30","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve -a**5 + 2*a**4 + 28*a**3 + 46*a**2 + 21*a = 0.\nAnswer: -3, -1, 0, 7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is -20113330222 (base 4) in base 10?\nAnswer: -2195242","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:02 PM and 10:02 AM?\nAnswer: 660","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is 99 a factor of 1068765291?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let q(k) = -k - 5. Suppose 5*d = -24 - 16. Let h be q(d). Suppose 2*b - 29 = 4*y + y, 0 = -h*b + y + 37. Is b a multiple of 12?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -64\/63 and 11\/135.\nAnswer: 945","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 31 - 18. What is the remainder when (1\/3)\/(3\/207) is divided by g?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-11)\/(-5) + -2)\/(1\/3)?\nAnswer: 3\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(x) = x. Let h(b) = b**2 + 16. What is h(g(d))?\nAnswer: d**2 + 16","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 5\/2*25\/(23000\/32) + 2459164\/22172?\nAnswer: 111","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of -124, -227, -342, -475, -632, -819, -1042?\n\"Answer: -g**3 - 96*g - 27","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let y(q) = 2*q**2. Let v(u) be the third derivative of 7*u**5\/60 + 103*u**3\/3 - 117*u**2. Give y(v(z)).\nAnswer: 98*z**4 + 5768*z**2 + 84872","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 5490 and 90?\nAnswer: 90","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:21 PM and 3:36 AM?\nAnswer: 255","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((s\/(s**(-5)\/s))\/s)\/(s*s**15*s) assuming s is positive.\nAnswer: s**(-11)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 504 and 1224.\nAnswer: 72","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let p(h) = h**3 + h**2 + 12. Calculate the remainder when p(0) is divided by 7.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(d) = 35*d - 70*d + 36*d. Suppose 0 = -6*f + 4*f + 4. Let p(v) = 2 + v**f - 2. Determine p(o(s)).\nAnswer: s**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let j(c) = 147*c - 3662. What is the remainder when j(26) is divided by 77?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 266162652 a multiple of 123?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (h\/h**(-4\/7))**(-39) assuming h is positive.\nAnswer: h**(-429\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Convert 27a200 (base 11) to base 10.\nAnswer: 438141","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let b be 20\/8*(-160)\/(-25). Suppose 0 = -13*z + b*z. Solve -1 + z = l for l.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (((-725)\/10)\/5)\/(225\/(-36) + 6). Calculate the highest common divisor of 2 and u.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-12 - -9) + 6 + 3 - (0 - -6).\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 3\/8 of a century in months?\nAnswer: 450","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: 7.13 times -3\nAnswer: -21.39","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 317.5425838 rounded to the nearest integer?\nAnswer: 318","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 7 and 2122290.88?\nAnswer: 14856036.16","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -0.6 - -0.4. Let m be 10 + (-60)\/80*(-32)\/(-4). Which is the second biggest value? (a) 0.2 (b) d (c) m\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 12228 is divided by 5897.\nAnswer: 434","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Work out -0.6 * -47.\nAnswer: 28.2","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 567852.\nAnswer: 2, 3, 79, 599","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 7 - 2. Let j be (b*-1)\/(5\/(-15)). Suppose -3*w = j, 5*t - 3*w + 6 = 36. Solve -1 = t*u + 2 for u.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 37 divide 40143150?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 47084, 94168, 141238, 188294?\nAnswer: 235336","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 10*s + 3621 - 3621.\nAnswer: 10*s","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve 64048*o + 7755 = 64283*o for o.\nAnswer: 33","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1529560 is divided by 66502.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_test"},"subset":"dm_maths"} +{"text":"Question: Simplify (n*n**(-2\/3))**(-45)\/(n*n\/n**(2\/3)*n**(-4\/7)\/n) assuming n is positive.\nAnswer: n**(-310\/21)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 4647 + 43. Put -0.5, -2\/9, r in ascending order.\nAnswer: -0.5, -2\/9, r","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 83\/20 and 27\/76.\nAnswer: 380","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is 1000100 - 1000?\nAnswer: 111100","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 360918 is divided by 185.\nAnswer: 168","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 38878495 and 155.\nAnswer: 155","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is 4365360061 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Express (4 - 64 - 83)*(-7*r**4 + 58*r**4 + 54*r**4 - 16*r**4) as i*r**3 + w*r**4 + v*r + k*r**2 + f and give w.\nAnswer: -12727","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in 4, -66, 1?\nAnswer: -66","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (4*(6*((sqrt(605)*1 + sqrt(605))*-5 - (sqrt(605) + (-3 + (sqrt(605) + -1 - sqrt(605)) - sqrt(605)))) + (2*(sqrt(605) + 0) + -5)*-5))**2.\nAnswer: -1207360*sqrt(5) + 47470416","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 5617.\nAnswer: 41, 137","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*h = 3*v + v + 80, v + 92 = 5*h. What is the tens digit of h?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(j) = 406*j**2 + 9*j + 11. Let s(z) = z**2 + 3*z + 3. What is -3*s(p) + v(p)?\nAnswer: 403*p**2 + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (8\/(-16))\/((-2)\/12). Suppose -15 = -2*f - y*x, 3*f - 7*f = -5*x + 3. Let q be 40\/(-100) - f\/5. Let t(a) = -11*a - 1. What is t(q)?\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 1342 or 37.3?\nAnswer: 37.3","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2*u - 14 - 59*u**3 + 1384*u**2 - 696*u**2 - 688*u**2.\nAnswer: -59*u**3 + 2*u - 14","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 405*i**2 + 1 - 1 + 383*i**2 + 378*i**2 - 1133*i**2.\nAnswer: 33*i**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -29 or -31?\nAnswer: -31","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let n(i) = i - 1. Let v(k) = -2*k**2 + 10*k - 10. Let r(q) = -10*n(q) + v(q). Let z(j) = 7*j. Determine z(r(a)).\nAnswer: -14*a**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 15\/4 of a litre in millilitres?\nAnswer: 3750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -48 - -50. Solve -k*w - 2*w + 2*v + 12 = 0, -2*w + 3*v + 6 = 0 for w.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1, 1, -11, 2, -19, -456 in descending order.\nAnswer: 2, 1, -1, -11, -19, -456","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let h(a) be the third derivative of -10*a - 1\/20*a**5 - 1\/20*a**6 + 7\/6*a**3 - 5\/24*a**4 + 0 - a**2. Is 15 a factor of h(-3)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (0 + 0 - 2)*(-3 - 1 + 6)*(-2835 - 78*p + 2810 - 203*p + 2*p**2) to y*p**2 + d*p + v and give v.\nAnswer: 100","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -30 - -53. Let l = t + -23. Let f be (-2)\/(-1 + 2) + 0. Sort f, l, 4\/5.\nAnswer: f, l, 4\/5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (3*h**3 + 2*h - 2*h)*(-113 - 152 - 58) to d*h + c*h**2 + t*h**3 + g and give t.\nAnswer: -969","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: How many centuries are there in 3\/5 of a millennium?\nAnswer: 6","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is three eighths of a tonne in kilograms?\nAnswer: 375","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1883679.\nAnswer: 3, 7, 19, 4721","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -340846742, -340846744, -340846746, -340846748?\nAnswer: -340846750","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*a + a - 5*v + 10 = 0, a + 6 = v. Let t(c) = c**2 - c - 3. Let s be t(3). Let x(g) = -2 - s*g**2 - 3*g**2 - 4*g + 5*g**2 - g. What is x(a)?\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of -923, -7296, -24463, -57770, -112563, -194188?\n\"Answer: -891*t**3 - 51*t**2 + 17*t + 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let i(q) = -11*q - 2. What is the common denominator of i(3) and -2*6\/(-4)*(-33)\/44?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Total of -266707611 and 0.2.\nAnswer: -266707610.8","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -162\/11 + 160\/11. Let z = -249 + 270. Let m be (3 - (-100)\/(-35)) + (-17)\/z. Which is the closest to -1? (a) s (b) -3 (c) m\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 2176246\/11 - 197856. Let p = 32 - 48. Which is bigger: p or f?\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 2 divide 2309?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Determine r so that -5*r**3 - 490*r**2 - 965*r - 480 = 0.\nAnswer: -96, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:43 PM and 6:55 PM?\nAnswer: 372","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Convert 116 (base 15) to base 2.\nAnswer: 11110110","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let m(a) = a - 2. Let k be m(2). Suppose 18 = 3*w - k*w. Let u(z) = 1 + 1 - 6 - 5*z + z**2. Calculate u(w).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(k) = -k**2 - 9*k - 3. Calculate z(-7).\nAnswer: 11","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth smallest value in -6, 4, -2\/14705, 5, -3\/2?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose t - 6*t = 25. Let k = -3 - t. Is (-2)\/(-6)*42\/k composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 69\/11032 and 23\/15169?\nAnswer: 121352","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Do 15009 and 105073\/7 have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve -d = 3*d - 20 for d.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (1 + (-1)\/(-6))*(-16848)\/(-6048).\nAnswer: 13\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(k) = -25*k + 1. Let w(q) = 53*q - 4. Let o(t) = -2*w(t) - 5*y(t). Let n(c) = -2*c**2. Give o(n(v)).\nAnswer: -38*v**2 + 3","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let s(p) = 5*p**3 + p**2 + 2*p + 1. Let o be s(-1). Let t(b) = -5*b**2 - 3*b + 2. Let l(m) = 405 - 4*m - 204 - 198 - 6*m**2. What is o*t(u) + 4*l(u)?\nAnswer: u**2 - u + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify k\/((k*k\/(k\/(k*k**(-28))))\/k)*k*k*k**(10\/3) assuming k is positive.\nAnswer: k**(100\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 4*l**2*q - 28*l**2 + 2*l*q - 15*q + 1 wrt l.\nAnswer: 8*l*q - 56*l + 2*q","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 j and 1 e when two letters picked without replacement from eeeeeeje?\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Factor -h**4 + 923*h**3 - 11878*h**2 + 43716*h - 32760.\nAnswer: -(h - 910)*(h - 6)**2*(h - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 367 is divided by 8?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((j**(2\/7)\/j*j)**(25\/2))**6*j**(-3)\/((j\/(((j\/(j*j**(2\/7)\/j))\/j)\/j))\/j)*((j\/(j*(j\/((j*j*j**1*j)\/j*j))\/j))\/j)**23 assuming j is positive.\nAnswer: j**(603\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the seventh root of 19827599 to the nearest integer?\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 12161*u**2 + 495*u - 18 + 4 - 12164*u**2.\nAnswer: -3*u**2 + 495*u - 14","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is -64 + -17660?\nAnswer: -17744","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_test"},"subset":"dm_maths"} +{"text":"Question: Simplify 2 + ((sqrt(11) + -1*sqrt(11))*4)**2.\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let s(o) = -o**2 + 101*o + 1230. Determine s(112).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let f(m) be the first derivative of 1\/2*m**2 + 6*m - 3. Suppose 0 = -4*i + 4, c + 4*i - 58 = -8*c. Let d(y) = 2*y + 11. Determine c*d(b) - 11*f(b).\nAnswer: b","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: 312 divided by 104\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 876 and 1168.\nAnswer: 3504","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 209781965 is divided by 6.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*q = -5 - 1 for q.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 231\/90 + (-8684)\/3340?\nAnswer: -1\/30","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(g) = -4*g**2. Let f(c) = -c - 2. Let h(a) = -3*a + 12. Let i(x) = -3*f(x) - h(x). Let v(u) = 8*u - 7. Let d(m) = -7*i(m) + 6*v(m). Calculate z(d(r)).\nAnswer: -144*r**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is 0 - 168?\nAnswer: -168","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 177 and 8709639?\nAnswer: 177","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -24*l**2*v + 10*l**2 - 7*l*v + l + 2 wrt l?\nAnswer: -48*v + 20","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let w(f) = 2178*f + 544434. What is w(-250)?\nAnswer: -66","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (w*w**24)**(-9\/4) assuming w is positive.\nAnswer: w**(-225\/4)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -4 - -4.2. Let i = 47401\/4 + -11850. Suppose 2*f = f + 4. Which is the fourth smallest value? (a) i (b) 1 (c) f (d) z\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -25\/279864 and -115\/286.\nAnswer: 3078504","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.000003932 to 7 decimal places.\nAnswer: -0.0000039","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (0 - 3 + 4*b - 6*b)*(-6 + 16 + 8) to m + k*b and give m.\nAnswer: -54","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve 352*i = 458*i + 651*i - 34822 for i.\nAnswer: 46","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*q + 73*y = 71*y - 12, 2*y - 12 = 2*q. Let o = 3 + 0. Sort 5, q, o, -2 in increasing order.\nAnswer: q, -2, o, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -28*i**3 - 48*i**2 + 16*i = 0. Calculate i.\nAnswer: -2, 0, 2\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 38360 divided by -7672?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Convert 55.45887 decades to years.\nAnswer: 554.5887","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 513 and 76?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Divide 28 by 1.\nAnswer: 28","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -1153732, -1153737, -1153742, -1153747, -1153752?\nAnswer: -1153757","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 966 and 301484?\nAnswer: 6331164","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let k(m) be the first derivative of 0*m**2 + 0*m**3 + 9*m - 11\/4*m**4 - 9. Differentiate k(s) with respect to s.\nAnswer: -33*s**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 939675?\nAnswer: 3, 5, 11, 17, 67","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Factor 69*x**2 - x**4 - 2*x**4 - 69*x**2 + 3*x**3.\nAnswer: -3*x**3*(x - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 240\/3*(-100)\/400.\nAnswer: -20","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of -4, -39, -132, -313, -612, -1059, -1684?\n\"Answer: -5*t**3 + t**2 - 3*t + 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) -10 (b) -2\/11 (c) 1 (d) -0.1 (e) -0.4 (f) -7\/15 (g) -0.865\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve -80 = -969*d + 959*d for d.\nAnswer: 8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*s + 8, 0*b + 3*b + 8 = 4*s. Let c(y) be the first derivative of y**3 - 2 - 3*y - 2*y**3 + b*y**3 + 3*y**2. Let c(k) = 0. Calculate k.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3*i**3 + 0*i**3 + 4*i**3)*(-1563 + 250*i + 1563) - i**4 - i**3 + i**3.\nAnswer: 249*i**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let m(u) = u**2 + 1. Suppose 0 = 5*o - 4*q - 9, -16*o + q - 3 = -20*o. Let x(n) = -n**2 - 2*n - 3. Determine o*x(y) + 3*m(y).\nAnswer: 2*y**2 - 2*y","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -78 - -58. Let t = f - -22. Let i(k) = -1049 + t*k + 1049 + k. Let o(h) = 6*h**2. Give o(i(g)).\nAnswer: 54*g**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*j - 28 = -4*m, -3*j + 0*j = -12. Let p be 23\/3 + m\/6. Let r be 18\/p + 1\/(-4). Is 2 at most r?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from dstdqed. Give prob of picking 1 q, 1 e, and 1 d.\nAnswer: 3\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is -54 + -1172a4?\nAnswer: -117348","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 3 k when three letters picked without replacement from rkrrrrrrkrkrrkrrrkr.\nAnswer: 10\/969","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 7579, 15009, 22453, 29917, 37407, 44929?\nAnswer: 52489","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Express -6*a**4 - 37*a**4 + 15*a**4 + (4*a - 2*a - 5*a)*(-4 + 3 - 1)*(-a**3 + a**3 - 2*a**3) in the form z*a + k*a**2 + q + v*a**4 + m*a**3 and give v.\nAnswer: -40","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose m + 2 = 2*z, 5*z = -5*m + 32 - 12. Let f(o) = o - 6. Let b be f(8). Solve s + b*k = 2*s + 5, -2*s - m = 4*k for s.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -14703*m - 89076 = -14716*m. What is the hundreds digit of m?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 857?\nAnswer: 857","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-3 - 1 + 2)*(-12*f + 10*f - 12*f)*(-3*f - 3*f + 20*f) to r + s*f + w*f**2 and give r.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3 = -4*n + 9. Let v = 5 - n. Find the second derivative of -v*l + l + 2*l**5 + 4*l wrt l.\nAnswer: 40*l**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(f) be the third derivative of 0*f + 0 + 1\/12*f**4 + 1\/20*f**5 + 174*f**2 - 4*f**3. Find the second derivative of o(k) wrt k.\nAnswer: 6","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (q\/(q**(-1)\/q))**(-5)\/(q**(-3\/7)*q\/(q*q**(2\/23)*q*q*q))*q*q\/q**(-1\/3)*q**(-7)*(q**(-1\/4)\/q)**(-3\/34) assuming q is positive.\nAnswer: q**(-1053691\/65688)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*t = -3*z - 80, z + 4*t + t + 10 = 0. Let v be 1\/5 + 987\/z. Let u = -11 - v. Solve -3*p - 2 + u = 0 for p.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 471*l - 469*l - t = 17, -4*t = 5*l - 10 for l.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -18 + 20. Suppose -8 = -4*k, 4*s - j = 5*k - 4*k. Let h(d) = -10*d**3 - 2*d - 1 + s + 1 + 2*d**2. Determine h(1).\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of 37696, 76624, 116784, 158176, 200800, 244656, 289744?\n\"Answer: 616*c**2 + 37080*c","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -10 + 10. Suppose u*a = a - 2*v + 56, -5*v + 170 = -3*a. Let p = -26 - a. Is 11 a factor of p?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*l + i + 88 = 17, -4*i = 3*l - 79. Suppose -q - 3*q = w - 24, -5*q - 2*w + l = 0. Suppose 3*n - 3 = m, 3*n + 7 = q*m - 2. Is 1 >= m?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 7 and 7.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Product of -0.82416 and -10.\nAnswer: 8.2416","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2 = -3*h - 7. Let m be (-2)\/(-6)*(3 - h). Solve 2*g = m*q - 6, 3*g - 2*g = -3*q - 11 for g.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 35*k*n**3*r + 2*k*n**3 + 67*k*n**2 + 5*k*n*r - 9*n**3 wrt n.\nAnswer: 210*k*r + 12*k - 54","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Factor -4*f**3 - 1976*f**2 - 7852*f - 5880.\nAnswer: -4*(f + 1)*(f + 3)*(f + 490)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from rrrrrr. Give prob of sequence rrrr.\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 1 + (sqrt(832) + sqrt(832) + -1 + sqrt(832) + -1)**2*2.\nAnswer: -192*sqrt(13) + 14985","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 7170?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 50712?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is 0 + -42533?\nAnswer: -42533","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 768342?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is 4835 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is 4633 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2707*b - 28*b - 42476 = 35462 + 7790 for b.\nAnswer: 32","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(396)*-1*4)**2 - (0 + (6*sqrt(11)*2 - sqrt(11))).\nAnswer: -11*sqrt(11) + 6336","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-14 - 14 - 10)*((2*u + 2*u - 2*u)*(-4*u**2 - 2*u**4 + 4*u**2) - 111*u**5 + 0*u**4 + u**4 + 50*u**5).\nAnswer: 2470*u**5 - 38*u**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (138\/(-161))\/((-2)\/(-14)). Is (-2 + (-3)\/u)\/(32\/(-364096)) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 14\/41 greater than 1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Work out -2578 * 0.4.\nAnswer: -1031.2","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: -24169162 divided by 12084581\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 19929?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Expand (1 + 4 - 2)*(-8*l - 17*l - 43*l).\nAnswer: -204*l","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 783162 a multiple of 18?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let w be 4*((-15)\/(-6))\/5. Suppose 10*d + 160 = 26*d. Calculate the remainder when (98\/4)\/(1\/w) is divided by d.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 341 and 8745.\nAnswer: 271095","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: 509 divided by -8\nAnswer: -509\/8","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 6 + -14. Let d(u) = -u**3 - 9*u**2 - 7*u + 8. Let o be d(r). Solve o = -3*f + 5*f for f.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (-42)\/28 + (-55)\/(-2). Suppose 8 = -j*w - 70. Let b(f) = 9*f**2 - 9*f - 6. Let g(l) = 3*l**2 - 3*l - 2. Calculate w*b(x) + 8*g(x).\nAnswer: -3*x**2 + 3*x + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of -4739, -9467, -14195?\n\"Answer: -4728*v - 11","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -20 = 4*r - 8*r. Suppose 0 = -0*u - 2*u + r*c + 142, 3*u - 213 = 5*c. Let i(n) = -u + 71 - 2*n. Let g(k) = -11*k. Determine i(g(f)).\nAnswer: 22*f","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 5*i + 4*r + 82, -i + 129 - 185 = 3*r for i.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*m - 1233 = 1691. List the prime factors of m.\nAnswer: 17, 43","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(d) = -d + 5. Let k(z) = -6*z + 26. Give -2*k(y) + 11*p(y).\nAnswer: y + 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is 1287 a factor of 597168?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from xggxxxggxgt. What is prob of picking 2 g?\nAnswer: 2\/11","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 12 + -8. Suppose -d*j + 13 = 5. Find the third derivative of -m**3 + m**3 - 3*m**j + m**2 + 2*m**5 wrt m.\nAnswer: 120*m**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 11 = -a - 5*g, 0*g = -2*g. Let k = 2.9772204 + 0.0227796. Let u = -9 + 4. Sort a, u, k.\nAnswer: a, u, k","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 2.036752 to 2 decimal places.\nAnswer: 2.04","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve 7882 = 411*i - 338 for i.\nAnswer: 20","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 24*y + 27 = -3*y for y.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify x**(-4\/13)*x**(2\/51)*x*((x*x**(-15\/2))\/x)\/(x\/x**(2\/7)) assuming x is positive.\nAnswer: x**(-69455\/9282)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1313 is divided by 324?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve 40 = -3*v + 46 for v.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 0.969 - 2.787. Round p to one dp.\nAnswer: -1.8","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (s*s**(-6\/13)*s*s**0)\/(s**(-15))**37 assuming s is positive.\nAnswer: s**(7235\/13)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is 30127 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 889000*o**3 + 9*o**2 - 25269*o.\nAnswer: 5334000","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is 178 a factor of 147562?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.001173 to two dps.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -4484 - 6673 - 4359 - 5361*n + 1544*n + 1408 wrt n.\nAnswer: -3817","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 430, 311, 168, 1, -190, -405?\nAnswer: -644","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in -4\/7, -0.2, -2\/9, 12?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: -14 - -12 - (-4 - -10)\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 16 and 272.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.07 minus 49348537?\nAnswer: -49348536.93","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let f be -1*(3 - 6 - 4). Differentiate -f*y - 9*y + 7 - 1 with respect to y.\nAnswer: -16","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -12 (base 4) to base 2.\nAnswer: -110","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (i**3 + 2*i**3 + 2*i**3)*(1 + 5 - 3) + (-i + 0*i - i)*(-24 + 24 + 7*i)*(-311*i - 62*i - 202*i) to the form s*i**3 + a*i + d*i**2 + w and give a.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*j = 3*j + 5*t + 30, -2*t = 4*j + 18 for j.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 876729248 to the nearest integer?\nAnswer: 957","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0.1 in 18, -5\/2, -2\/13243, -2\/9, 43?\nAnswer: -2\/13243","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*i - 3*m = -222, 0*i + 5*i - 274 = -2*m. What is the third derivative of 57 - 39*u**2 - 110 + i - 42*u**3 - u**5 wrt u?\nAnswer: -60*u**2 - 252","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is i in -i**3\/3 - 551798*i**2\/3 - 76120258201*i\/3 = 0?\nAnswer: -275899, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 3.1 in -2.77537, -3\/2, 0.1, -3, -4, 2\/11?\nAnswer: 2\/11","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let t(z) = -2*z + 3. Let m(d) = -4*d + 17. Let l(o) = o - 4. Let j(f) = 26*l(f) + 6*m(f). Let v(i) = 3*j(i) + 2*t(i). Let h(k) = 4*k. Calculate v(h(g)).\nAnswer: 8*g","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Sort -3, -1, 5, -8051.\nAnswer: -8051, -3, -1, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let m(r) = -2*r + 8. Let q be m(4). Suppose g = 2 - q. Find the third derivative of 13*c**g - 2*c**2 + 4*c**5 - 8*c**2 wrt c.\nAnswer: 240*c**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -21 + 42465*z**2 - 14158*z**2 - 14155*z**2 - 14150*z**2 - 45 - 13*z to q*z + j + r*z**2 and give j.\nAnswer: -66","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0.2 in -0.3, -2\/7, 4\/3, -4?\nAnswer: -2\/7","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(77) - (sqrt(77) + -3*sqrt(77)))*3*-2)\/(sqrt(77)\/(sqrt(14)\/(-1*sqrt(2)))).\nAnswer: 18*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 4254 to the nearest integer?\nAnswer: 65","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -o = 4*o. Suppose 0 = -c + 3 + 13. Suppose r - c = -o*r. What are the prime factors of r?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 32, -0.0617, 2, -0.3, 0.2 in increasing order.\nAnswer: -0.3, -0.0617, 0.2, 2, 32","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: -1048 (base 10) to base 4\nAnswer: -100120","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 6*k = -339*j + 344*j + 32, 3*k - 6 = 0 for j.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 22 and 1162?\nAnswer: 12782","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2 + 8*y - 2 + 0.\nAnswer: 8*y","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -21 + 20.88. Let p = 1.12 + b. Let k = -0.07 - 0.03. What is the closest to p in 10, k, -0.3?\nAnswer: k","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 4, 6, -1, -5 in descending order.\nAnswer: 6, 4, -1, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from dffndfffff. What is prob of picking 1 f, 1 n, and 1 d?\nAnswer: 7\/60","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 911.\nAnswer: 911","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 13 - -4245.\nAnswer: 4258","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let g(k) = 4477*k**3 - 14*k**2 - 8*k + 14. List the prime factors of g(2).\nAnswer: 2, 19, 941","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*t - t - 20 = 2*y, -y + 3*t - 15 = 0. Suppose -5*n + y*n + 130 = -5*r, 27 = 2*n + 3*r. Does 3 divide n?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 6.1 - 1.1. Let a be (-348)\/(-21) + (2 - -1). Let z = -20 + a. What is the third biggest value in p, 0, z?\nAnswer: z","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 3834*a**5 + 2*a**3*x + 16*a**2*x - 234*a**2 - a*x wrt a?\nAnswer: 230040*a**2 + 12*x","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -107\/180 and -119\/720.\nAnswer: 720","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 596 minutes after 7:44 PM?\nAnswer: 5:40 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 243.5 - 244. Which is the fourth smallest value? (a) 2 (b) -3 (c) -5 (d) g\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(p) = 6*p + 36. What is x(-8)?\nAnswer: -12","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*o + 198 - 184. Let w = 23 + -4. Suppose w = o*y - 9. What is the remainder when 23 is divided by y?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -2399 + 2879. Calculate the lowest common multiple of c and 180.\nAnswer: 1440","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 168 + -94. Let c = x - 29. What are the prime factors of c?\nAnswer: 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(p) = 5 - 2 - 1 + 3*p + 7. Let a(y) = y + 2. What is 9*a(h) - 2*b(h)?\nAnswer: 3*h","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: 71 - (39 - (-58 + 49))\nAnswer: 23","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let d(w) = w**2 - w - 2. Let z be d(3). Suppose 0 = z*h - 2*h. Solve 3*x + h*x = -3 for x.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -55 - 92. Let r be (-6)\/15 - k\/5. Let z = r + 1. Is 13 a factor of z?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((2*sqrt(245)*-1 + sqrt(245))**2 + -5 + -1 + sqrt(245) + -3 - (sqrt(245) - (0 + sqrt(245)*-4 - sqrt(245)) - (-2*sqrt(245) + -2))**2)*3.\nAnswer: -46344 - 651*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 1687041 and 54?\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -0.7 or -32\/7?\nAnswer: -32\/7","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: -ad7 (base 16) to base 10\nAnswer: -2775","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve -41*z = -43*z + 5*r - 34 - 113, 3*r = 11*z + 49 for z.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 3280732602?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Determine c so that -c**3\/6 - 6379*c**2\/6 - 3406748*c\/3 + 1136646 = 0.\nAnswer: -5022, -1358, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) 14 (b) 0.1 (c) -0.1 (d) 6\/13 (e) -1\/6 (f) -0.2 (g) 0.02\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 224146?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 82 minutes before 12:51 AM?\nAnswer: 11:29 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -497*z**5 + 200*z**3 + 76*z**2 - 322 wrt z?\nAnswer: -29820*z**2 + 1200","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let r(d) = d**2 - 17*d + 14. Let a = -36 + 53. Let s be r(a). Let x = -10 + s. Let j(g) = -g**2 + 8*g - 3. What is j(x)?\nAnswer: 13","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -4*d**3\/7 + 4*d**2 - 60*d\/7 + 36\/7.\nAnswer: -4*(d - 3)**2*(d - 1)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -2 - -5. Suppose 0 = 4*r + 4*a - 28, 2*r + 2*r - 30 = -2*a. Calculate the remainder when r is divided by d.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-1 - -2 - -3) + (-16 - -17).\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 0.0291 and -0.4879?\nAnswer: -0.01419789","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0 + 0 + 2*u)*(4 + 2 + 0)*(-3*u + 0*u + u + (-4*u + 38 - 38)*(-3 + 0 + 1)).\nAnswer: 72*u**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 107155 is divided by 409.\nAnswer: 406","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Express (-1 + 1 - 2*l)*(607 + 489 + 189 - 197 + 161) in the form b*l + t and give b.\nAnswer: -2498","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: 30\/4*-18*44\/198\nAnswer: -30","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 7064 - 7214 - (-286 - -2)?\nAnswer: 134","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 331 minutes after 12:27 PM?\nAnswer: 5:58 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 253 minutes before 8:12 AM?\nAnswer: 3:59 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-9)\/(-24)*72\/(-54).\nAnswer: -1\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Does 38 divide 71250?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 5190 and 463467?\nAnswer: 4634670","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let d(y) be the first derivative of 4*y**6\/3 + y**3 + 47*y**2 + y - 2096. What is the second derivative of d(a) wrt a?\nAnswer: 160*a**3 + 6","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -17\/208 and -5\/884.\nAnswer: 3536","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 148286?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let h(c) = 974*c - 15706. Calculate h(16).\nAnswer: -122","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let m(a) = 3*a**2 + 5*a - 4. Determine m(-3).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let s be 1380\/(-132)*-5 + (-12)\/44. What is the greatest common factor of 559 and s?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 700215739?\nAnswer: 14369, 48731","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let w(a) = a**2 + a + 4. Let q be w(-2). Suppose -q*v + 256 = -2*v. Is v a multiple of 16?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: 1 times 0.1170296\nAnswer: 0.1170296","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let w(k) be the first derivative of -2*k**3\/27 + k**2\/9 - 1. Determine r, given that w(r) = 0.\nAnswer: 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:24 PM and 8:35 PM?\nAnswer: 491","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 18826237 is divided by 233.\nAnswer: 70","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from vuvuuuvx. What is prob of picking 1 u and 1 v?\nAnswer: 3\/7","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let f(g) = -7*g**2 + 63*g + 11. Let c be f(12). Let b = c - -418. What is the remainder when b is divided by 18?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -3382525 in 1\/4, 0.2, -1\/3?\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of -98, -442, -1006, -1784, -2770?\n\"Answer: y**3 - 116*y**2 - 3*y + 20","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 140475972 is divided by 61.\nAnswer: 48","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 3*s + 95905*w - 95907*w - 16, w = 2*s - 11 for s.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -8505*k**2 - 8411*k**2 + 16916*k**2 + 4*k**3.\nAnswer: 4*k**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let t be 99\/6 - 1\/2. Solve -3*w = d - 6, 8*d - 3*d + w = t for d.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -5512 or -1\/3?\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Put -1.23, -55, 0.2, 0.1, 551, 0 in descending order.\nAnswer: 551, 0.2, 0.1, 0, -1.23, -55","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 223038047?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 437121?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-12)\/(-9)*9\/6.\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 241 + -239. Suppose 2*g - 481 = -h, y*g - 15 = 3*h + 454. Is g prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) 0.3 (b) 2.392 (c) -2\/17 (d) 2\/13 (e) -8\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let b(y) = 24*y + 207. Calculate b(-6).\nAnswer: 63","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 670548 and 456.\nAnswer: 228","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let k(c) = 2*c**2 - 5. Let o(l) be the second derivative of l**4\/12 - 2*l**2 - 9*l. Let d(j) = -2*k(j) + 3*o(j). What is d(2)?\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 1925 and 25.\nAnswer: 1925","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let c(n) be the first derivative of n**3\/3 - 5*n**2\/2 + 10*n - 58. Let o be c(5). Solve 0 = -0*i - 2*i - o for i.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) -0.7 (b) 0.06 (c) -49\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is 7702280 + -4?\nAnswer: 7702275","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 17510 and 2500?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*c - 174 + 62 = 5*y, 4*c - 5*y - 146 = 0. Suppose c*k = 11*k + 92. Solve k*a + 2 = -h - 4, 0 = 2*a - h for a.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: 256 (base 13) to base 14\nAnswer: 213","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -5109 or 3?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 q and 1 c when two letters picked without replacement from {c: 2, q: 1, n: 1}.\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -3*a**2 - 198*a**3 + a**2 + 8*a**3 + 2*a**2.\nAnswer: -190*a**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 0*c**3 + c**3 - 530*c + 35 + 532*c to k*c + q*c**2 + r*c**3 + y and give r.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 h and 1 u when two letters picked without replacement from uhuhuuuuuuu?\nAnswer: 18\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 13356 and 126882?\nAnswer: 253764","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (a**7)**6\/((a*(a*a\/(a\/a**15))\/a)\/(a*a**(1\/3)*a)) assuming a is positive.\nAnswer: a**(85\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (-2)\/(-7) - (-1023)\/217. Let r = -11 + -2. Which is the third smallest value? (a) r (b) -1\/2 (c) u\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 8419169 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 54\/24*2\/(-12)*-1?\nAnswer: 3\/8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let r be -2 - (10\/5 + 2). Let f be 2\/r - (-9)\/27. Solve u - 4 = -2*j + 2, f = 4*u + 4*j - 20 for u.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -20652\/2275 or -10?\nAnswer: -10","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 42763 to the nearest integer?\nAnswer: 207","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -298988, -298968, -298948?\nAnswer: -298928","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 97 minutes before 3:04 PM?\nAnswer: 1:27 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -2*(0 + 2*(2 + 2 + sqrt(1872)))**2.\nAnswer: -15104 - 768*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: ((-12)\/130)\/(15\/375*5)\nAnswer: -6\/13","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4 = -6*c + 5*c. Let l be (8\/c)\/((-4)\/(-110)). Calculate the greatest common factor of l and 5.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-j**3 + 2*j**5 + 3*j**3 + j**5)*(-2 + 0 + 0).\nAnswer: -6*j**5 - 4*j**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let s(d) = d**2 - 4. Let x be -9*2\/(-12)*2. Let t be s(x). Suppose -34 = -l - 0*l + 4*o, 5*l + t*o = 170. Is l a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(k) = -7*k + 3. Let r be v(-5). Let w = -24 + r. Let p(q) = -q**3 + q**2 + q + 2. Calculate the lowest common multiple of p(0) and w.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(m) = -m**3 + 11*m**2 + 1700*m - 10113. What is i(6)?\nAnswer: 267","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let d(i) = 16*i**2. Let l(s) = 11*s. What is l(d(a))?\nAnswer: 176*a**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (5 - 2 - 1)*(-56 - 81 + 85 + 0 - 2 + 1 + 0 - 3 + 1 + 1 + 1 + 0 + (3 + 0 - 2)*(3 - 3 - 2))*(-u + 5*u - 3*u) to the form a*u + g and give g.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 120 - 101. Let s = 0 - -5. Calculate the remainder when m is divided by s.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 1025 + -1023. Solve 10 = -4*x - l*t, 8 = -3*x + 2*t - 10 for x.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 58355?\nAnswer: 5, 11, 1061","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (4*(sqrt(252) + sqrt(252)*1 - sqrt(252)) + (sqrt(252) + 0)*4 + 2 - (sqrt(343) + -5 + 1*sqrt(343) + 5)*4)**2.\nAnswer: -32*sqrt(7) + 452","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -2\/5 in 1\/995, -2.2, -4\/3, -5, 1\/10, 1.13?\nAnswer: 1\/995","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (185\/(-175) - 42\/(-49)) + -1 + 2?\nAnswer: 4\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is -5118 + -4?\nAnswer: -5120","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let q(b) = 2*b**3 + 12*b**2 + 10*b + 22. Let n be q(-5). Let u = -14 + n. Solve 14*g - 12*g - u = 0 for g.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (6*(sqrt(1872) + (2*sqrt(1872) + sqrt(1872))*-5))**2.\nAnswer: 13208832","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((l**(2\/7))**(6\/7))**(-30)\/(((l*(l*l\/l**(3\/4))\/l)\/(l**3*l))\/(l\/l**(2\/3))**(-6)) assuming l is positive.\nAnswer: l**(-1293\/196)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 1127 + -1122. Let j(b) be the second derivative of -1\/20*b**5 + 2*b**2 + b + 0 + 0*b**3 + 5\/12*b**4. Calculate j(v).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Product of -5855 and -14.8.\nAnswer: 86654","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 2*u - 4*u**3 + 117324*u**4 - 63 - 117300*u**4 + 2*u**2 + 3*u**3 to y*u**3 + h + k*u + j*u**4 + v*u**2 and give v.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (0 + 2 - 0) + 0. Find x such that x + x - 2*x**3 - 2*x - y*x + 5*x**2 = 0.\nAnswer: 0, 1\/2, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 6068 = -279647*g + 279729*g for g.\nAnswer: 74","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth root of 113511311 to the nearest integer?\nAnswer: 103","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 5*z - 2*z**2 + z**2 + z**2 + 2 - z**2 to u + c*z**2 + f*z and give u.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 2 + ((sqrt(24)\/sqrt(2))\/sqrt(6))**2.\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 647.98 less than -1895.137?\nAnswer: -2543.117","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Find a such that -6*a**5\/5 - 51*a**4\/5 + 249*a**3\/5 - 84*a**2\/5 - 108*a + 432\/5 = 0.\nAnswer: -12, -3\/2, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let l(v) = -16*v + 506. Suppose 0 = c + 1, -4*k + 4*c + 6 = -62. What is the smallest common multiple of l(31) and k?\nAnswer: 80","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 2809333 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 0 + 2 + -11 + 11 + -6?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let s(n) = -4*n + 5. Let q(z) = -z. Give -3*q(f) + s(f).\nAnswer: -f + 5","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -5*m - 1978 + 2003 for m.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let f(x) = 5*x**2 - 57*x + 151. Let c be f(4). Suppose 0 - 11\/4*n**2 + 0*n + 1\/4*n**c = 0. Calculate n.\nAnswer: 0, 11","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -2 or -8.9?\nAnswer: -8.9","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*d = -3*a + 12, 12 = -5*d - 3*a - 0*a. Is 260 - (d - -1 - -5) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose o + 70 = 5*k, -o - 328 = -2*k - 297. Put k, 9, -2 in descending order.\nAnswer: k, 9, -2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (2 + -2)\/((16 - -4)\/(-10)). Suppose h = 3*g + 5*i - 11, -7*g + 29 = -2*g + 3*i. Put -3, -16, 1, g in decreasing order.\nAnswer: g, 1, -3, -16","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out -0.7 - 0.034054079.\nAnswer: -0.734054079","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Express 8*r**2 + 8*r**4 + 5*r**4 - 7*r**2 + (4*r**3 + 2*r**3 - 5*r**3)*(451*r - 222*r - 220*r) in the form t*r**2 + b + h*r**4 + l*r**3 + s*r and give h.\nAnswer: 22","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let t(f) = 8*f**2 - 3*f - 2. Let s be t(-2). Suppose 59*z = 53*z - 588. Let n = -86 - z. Calculate the highest common factor of n and s.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (0 + (3 - 5))*-2. Suppose -5*x + 3*x + 31 = -p, 5*p - 27 = -h*x. What are the prime factors of x?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -1\/3 in -25, 0, 4?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 83\/1170 and -68\/208611.\nAnswer: 2086110","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let t(w) = 6*w + 6 - 1 + 2*w**2 - w**2. Let p be t(-5). Round p to the nearest 1000000.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 3*r**2\/7 + 354*r\/7 + 1035\/7.\nAnswer: 3*(r + 3)*(r + 115)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Work out -0.4328 - 0.4.\nAnswer: -0.8328","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: 110\/2145*4654\/8 - (-1)\/6\nAnswer: 30","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 3*v**4 + 14*v**2 + 98*v + 215653?\nAnswer: 12*v**3 + 28*v + 98","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Does 22 divide 4510?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let g(d) = 2*d**2 - 10*d + 7. Calculate g(5).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from pnppppnp. What is prob of sequence np?\nAnswer: 3\/14","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Expand -8*o**3 - 31*o**2 + 31*o**2 + ((-2 + 4 - 1)*(0 + 0 - o) + o - 5*o + 2*o + 3 - 3 - 2*o)*(-2*o**2 + 1 - 1).\nAnswer: 2*o**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of 56998, 62290, 67580, 72868, 78154?\n\"Answer: -m**2 + 5295*m + 51704","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 1422626417 to the power of 1\/10, to the nearest integer?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is (-10536)\/1616 - (45\/(-10) - 2)?\nAnswer: -2\/101","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 10 (base 10) to base 7.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*w - 311 - 509. Suppose -h = -4*a + w, -4*a = -3*h - 352 - 62. Is 2 a factor of a?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(p) = 6 + 4*p**3 + 2*p - 3 - 4. Let v be q(1). Suppose -f = 5*i - 42, v*i + 36 = 3*f + 2*i. Solve -2*c = w - 11, -4*w - 3*c = -2*w - f for w.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 110199*c - 912*c**2 - 110199*c.\nAnswer: -912*c**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is -7 - ((-3 - 0) + 0 + -2 - -2)?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*w + 3*c + 10264 = 0, -4*c - 499 + 8723 = -4*w. Let b = 551 - w. Is b composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 11054613.78 microseconds in weeks?\nAnswer: 0.00001827813125","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let q(f) = 16*f**3 - 14*f**2 - 20*f - 14. Let g(c) = 5*c**3 - 5*c**2 - 7*c - 5. Let b(d) = 14*g(d) - 5*q(d). What is the second derivative of b(z) wrt z?\nAnswer: -60*z","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -0.1756 + 1.5936. What is s rounded to 1 decimal place?\nAnswer: 1.4","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 336 and 112?\nAnswer: 112","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let b(s) = s. Let k(d) = -13. Let p(q) = 6*b(q) + k(q). Is p(6) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -187*c - 1 + 1.\nAnswer: -187*c","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 1 or -220?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let y(c) be the first derivative of 32*c**4\/3 + 150*c - 106. Let v(r) be the first derivative of y(r). Let n(d) = -4*d. Determine n(v(a)).\nAnswer: -512*a**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -36121 + 36122. Which is the second biggest value? (a) 3 (b) 4 (c) q (d) -217 (e) 2\/13\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (-10)\/16*(-12)\/(-24). Let h = 29\/16 + x. Put -0.1, -4\/7, h in decreasing order.\nAnswer: h, -0.1, -4\/7","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of 5, 61, 211, 503, 985?\n\"Answer: 8*x**3 - x**2 + 3*x - 5","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is 3 - -212?\nAnswer: 215","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let o(u) = 9*u**3 + 5*u**2. Let p = 67 + -62. Let l(m) = m**3 + m + 1. Let q(v) = 12*v**3 + 7*v**2 - v - 1. Let b(w) = -l(w) - q(w). Determine p*b(j) + 7*o(j).\nAnswer: -2*j**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((m**(2\/13))**17)**31 assuming m is positive.\nAnswer: m**(1054\/13)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is -6 + (-15 - -56) + -18?\nAnswer: 17","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 321841?\nAnswer: 13, 19, 1303","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: 9120\/(-64)*(1 + 2\/(-3))\/(67\/134)\nAnswer: -95","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (2536060\/6 - 6) + ((-100)\/15)\/10. Round k to the nearest 1000.\nAnswer: 423000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 15\/(-40)*-57*8\/54.\nAnswer: 19\/6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(99) + 1)**2*2 + 5)*-5 + -2.\nAnswer: -1027 - 60*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is 78667 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((y*y*(y\/(y**(-1\/6)*y))\/y)**(6\/13)\/(y**(-1\/4))**(1\/23))**(-20) assuming y is positive.\nAnswer: y**(-3285\/299)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Divide -29367 by -39.\nAnswer: 753","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.2 + -0.296?\nAnswer: -0.496","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((m**(7\/8)\/m)\/m)**(-3\/40)\/(m\/m**(-35)*m*m*m**50) assuming m is positive.\nAnswer: m**(-28133\/320)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -8 - -4. Which is the third biggest value? (a) 0.4 (b) q (c) 1\/6\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*l + 89 - 64 = 0 for l.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -5*a**4 - 36*a**5 + 49*a**3 + 22*a**5 - 27*a**3 + 6572*a**2 + 15*a**5 - 328*a**3 wrt a.\nAnswer: 60*a**2 - 120*a - 1836","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -26981*l**5 - 1721*l**3 + 421537053*l?\nAnswer: -539620*l**3 - 10326*l","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*v - 4*f - 24 = -40, 5*f - 21 = 4*v. Sort -72, 3, v, 4, -5.\nAnswer: -72, -5, v, 3, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:03 AM and 2:37 PM?\nAnswer: 634","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is 20669709283 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -0.024 and 362304.\nAnswer: -8695.296","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 292 minutes before 7:00 AM?\nAnswer: 2:08 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*s + 9 = -3*w, -49 + 18 = 5*w + 2*s for w.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let q(k) = -5*k**3 + 144*k + 9*k**2 - 11 + k**2 - 143*k. Let t = -26 - -37. Let u(m) = m**3 - 2*m**2 + 2. Calculate t*u(y) + 2*q(y).\nAnswer: y**3 - 2*y**2 + 2*y","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 175 minutes after 2:54 PM?\nAnswer: 5:49 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -11\/100 and -41\/60.\nAnswer: 300","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve 30*b - 155 = -38*b + 729 for b.\nAnswer: 13","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 8 - (15 + -1 + -8)?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -5316473, -10632950, -15949427, -21265904, -26582381, -31898858?\nAnswer: -37215335","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 4256149 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 15891502?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 821 - -1656. List the prime factors of r.\nAnswer: 2477","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -4, 9, -10.723277 in descending order.\nAnswer: 9, -4, -10.723277","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Convert 3462.7797 minutes to days.\nAnswer: 2.404708125","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let k(b) = 5*b + 301. What is the remainder when k(-10) is divided by 65?\nAnswer: 56","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -5465601 (base 7) in base 2?\nAnswer: -10100100000010010001","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -o**2 - 3*o**2 - 256*o + 14*o**2 + 281*o to the form a + w*o + g*o**2 and give a.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -9 = 9*w - 10*w - 4*r, -4*r = 2*w - 6. Let q(j) = -j**3 - 3*j**2 - 4*j - 1. Give q(w).\nAnswer: 11","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (18*l**3 - l**3 + l**3 + (l + l - 4*l)*(0*l**2 + 0*l**2 + l**2) - 2*l**3 + 1 - 1)*(75*l**2 - 131*l**2 - 176*l**2).\nAnswer: -3248*l**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (2*sqrt(28))**2*2 + (-5*sqrt(252)*-2)**2.\nAnswer: 25424","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let v(q) = -q**3 + q - 26. Let m be v(0). Let k(s) = -2*s**3 + 5*s**2 + 2*s. Let h be k(4). Let l = m - h. Is l smaller than 14?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(r) = -9661*r**2 + 12*r - 12. Let q = -91 - -78. Let z be y(q). Let u = z - -982877. What is u rounded to the nearest one hundred thousand?\nAnswer: -700000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find g such that -g**4 - 16*g**5 - 18*g**5 - 13*g**3 - 14*g**5 - 12*g + 25*g**2 + 49*g**5 = 0.\nAnswer: -4, 0, 1, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -2*(-4)\/(-8)*1254\/7161*-31.\nAnswer: 38\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:29 AM and 7:27 PM?\nAnswer: 538","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let g(n) = -2*n - 4. Let w(p) = p + 1. Let j(s) = -g(s) - 4*w(s). Let c(f) = -7*f. Give j(c(o)).\nAnswer: 14*o","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 11259940 and 196.\nAnswer: 551737060","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let c(h) = 2690*h**2. Let w(b) = -5*b. Determine c(w(x)).\nAnswer: 67250*x**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 3 divided by -442.\nAnswer: -3\/442","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -269 - -271. Let h be 74\/26 + u\/13. Is h < -14?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -15*p + 12*p + 57 = 0. Suppose 7*v - p = 26*v. Sort v, 5, 1, 12.\nAnswer: v, 1, 5, 12","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(m) be the second derivative of 13*m**5\/20 - m**4\/4 + m**3\/3 + 2*m. Let c be b(2). Let u = 164 - c. Is u a multiple of 17?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 1367 + -10957\/8. Find the common denominator of p and 39\/16.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -157*t = -148*t - 27 for t.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -0.96 and -467067.\nAnswer: 448384.32","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is -20210 + -100011?\nAnswer: -120221","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -3*c + 12 - 0 for c.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 107 + -162. Let k be (-5)\/(-4)*(-657)\/15. Let s = v - k. What is the nearest to s in 0, -5, 0.4?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 18621?\nAnswer: 3, 2069","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -37 = -3*l + r - 6, 48 = 5*l + 2*r. Suppose 0 = -17*b + 40 - 23. Let m be (2\/8)\/(b\/4)*3. Solve -2 = -m*g + l for g.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 3618 a multiple of 18?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: 407 divided by 11\nAnswer: 37","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Work out 159.9 * 29.3643.\nAnswer: 4695.35157","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Factor -v**3\/3 - 43162624*v**2\/3 - 465753070803965*v\/3 - 931505968957442\/3.\nAnswer: -(v + 2)*(v + 21581311)**2\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let f(j) = j**3 + 15*j**2 + 43*j - 8. Let r be f(-11). Solve r*h = -q - 16, -2*h - 36 = 5*q - 8 for h.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 12 + (-4 - 8) + 9?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Factor 13*c**3\/2 + 23*c**2 - 636*c + 288.\nAnswer: (c - 8)*(c + 12)*(13*c - 6)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 2747 + -1552. Suppose 2917 = 16*a - l. List the prime factors of a.\nAnswer: 257","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 2340.843 months to decades.\nAnswer: 19.507025","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 15540.\nAnswer: 2, 3, 5, 7, 37","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 8 + -4. Let g be z*(1 - (-110)\/8). What is g rounded to the nearest 10?\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: 5 + -6 + 2 + -1 - -5\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -7\/5 and 23\/18071.\nAnswer: 90355","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-75 + 2*p + 75)*(7*p**2 - 3*p**2 - 11*p**2 + 2*p**3) to the form m*p + z*p**4 + b*p**2 + g*p**3 + f and give z.\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 124249068?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (-2)\/14 + (0 - 0). What is the second smallest value in -5, x, 0.03?\nAnswer: x","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -10001010000111010 (base 2) in base 4?\nAnswer: -101100322","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is (((-1064)\/(-288))\/19)\/((-1582)\/(-678))?\nAnswer: 1\/12","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -4*((((sqrt(80) + 2 - sqrt(80))**2 + -1)*4 + sqrt(80) + ((sqrt(80) + 1)*5)**2 + (sqrt(80) + sqrt(80)*-1)**2*-6)*1 + 3).\nAnswer: -8160 - 816*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let q(s) = -s**3 - 32*s**2 + 34*s + 35. Let o be q(-33). Calculate the smallest common multiple of 4 and (160\/(-12))\/(4\/3 - o).\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h be 48\/14 + -3 + -1. Let b(d) = -d**2 - 12*d - 13. Let c be b(-5). Suppose 6*i = -58 + c. What is the second biggest value in 0.3, 0, i, h?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(v) = 2*v**3 + 29*v**2 + 10*v + 826. Let d be j(-15). Are d and 422 non-equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: -19 * 2\nAnswer: -38","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let g(x) = x - 2 + 0 + x. Suppose 3*u - 39 = 0, 0 = c + 2*u - 0*u + 3*u - 74. Calculate g(c).\nAnswer: 16","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(o) = o**3 + o + 1. Let t(z) = -z**3 + z + 2. Let m = 384 + -383. Give m*t(r) - 3*f(r).\nAnswer: -4*r**3 - 2*r - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is -10101000 (base 2) in base 9?\nAnswer: -206","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -3*(1 - (-64)\/(-24))?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 680483, 680491, 680513, 680555, 680623?\nAnswer: 680723","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 0.121 + -71.121. Let k = w + 86. Is k greater than or equal to 2\/29?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 11 + -9. Let m be -1 + w + (0 - -5). Let d(f) = -m*f - f + 5*f. Let i(g) = 6*g**2. Give d(i(v)).\nAnswer: -12*v**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve -w**3\/6 + 5*w**2\/6 + w = 0 for w.\nAnswer: -1, 0, 6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 127 and 4?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let d(b) = -7*b**2 + 161*b + 162*b - 475*b + 159*b. Let x(y) = -2*y**2 + 2*y - 6*y + 6*y**2. Calculate 3*d(h) + 5*x(h).\nAnswer: -h**2 + h","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 5*i - 4*r - 7, 4*r - 2 = -14 for i.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: (-9919)\/1090 - (0 + -9)\nAnswer: -1\/10","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 7 + 5*v**2 + 10 + 8 wrt v?\nAnswer: 10*v","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(j) be the first derivative of j**5\/40 - j**3 + 3. Let m(c) be the third derivative of h(c). Let g(l) = l. Calculate m(g(r)).\nAnswer: 3*r","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let x(v) = 8812 + 8829 + v - 17642. Let r(d) = -5*d. Determine -r(g) - 2*x(g).\nAnswer: 3*g + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((f*f*(f\/f**5)\/f*f)\/f**(-4)*(f**(1\/3)\/f)**20)**(-10\/17) assuming f is positive.\nAnswer: f**(20\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1620031 is divided by 1088?\nAnswer: 1087","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let v(r) = -r**2 - 166*r + 166162. Determine v(-499).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 5*k - 3*a + 104, 3*k + 4*a + 10 + 64 = 0. Let f(r) = 20*r. Let o be f(-2). Let s = k - o. Does 7 divide s?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u be 1\/(2\/12*2). Suppose 14 = a + u. Suppose -6 = -2*p + 2. Calculate the smallest common multiple of a and p.\nAnswer: 44","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -1 + 3. Suppose 0*t - 2*i = -t + 3, 0 = -n*t - 2*i + 12. Suppose -t = w - 2*w. List the prime factors of w.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -140635900 rounded to the nearest 1000000?\nAnswer: -141000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Work out -11.71178 * 0.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*x**2\/3 - 5840*x\/3 - 3896.\nAnswer: 2*(x - 2922)*(x + 2)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Factor 5*h**4 - 5*h**3 - 3360*h**2 + 44480*h - 158720.\nAnswer: 5*(h - 16)*(h - 8)**2*(h + 31)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let h(m) = -m**2 + 7*m + 2. Suppose 3*s - 24 = -3*t, -t + 5 = 4*t - 2*s. What is the lowest common multiple of 3 - (t + 0)\/(-1) and h(4)?\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -8.89 + 9. Let i = o + -0.21. Let t = -0.2 + 4.2. Which is the nearest to i? (a) 2 (b) 2\/13 (c) t\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1641 bigger than 1641?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -1102 - -241. Let p be (-2)\/12 + u\/18. Let h be (p\/(-15) + -3)\/(-1). Which is the nearest to -1\/7? (a) h (b) -1\/3 (c) 0.3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g be -5 + 1 + 2 + 0. Let a be (g - -2)\/(6 - 8). Suppose 3 = i - a. Solve 0*c - i*c = 6 for c.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 7187 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -129 + 119 - (-6 + -2).\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 994672338 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: Is 114781301 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -153 = -g - 237. Are -74 and g non-equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 345*s**4 + 387*s.\nAnswer: 4140*s**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -517 + 21194\/41. Let s be ((-230)\/(-1845))\/(8\/(-6)). Let l = s + m. Which is greater: -1 or l?\nAnswer: l","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-48)\/22 + 4 - (-4)\/22?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(j) be the third derivative of 7*j**6\/120 - 2*j**4\/3 + 12*j**2. What is the second derivative of z(s) wrt s?\nAnswer: 42*s","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -59*a**5 - 10*a**5 - a**5 + (3*a**5 + a**5 - 2*a**5)*(-1 - 2 + 1).\nAnswer: -74*a**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is thirty-two fifths of a century in decades?\nAnswer: 64","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*c + 4*m = -33, 3*c + 3 = -4*m + 12. Let w = c + -3. Let d(f) = 0*f + 6*f**2 + 3*f**3 - 4*f**3 + w + f. Calculate d(6).\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: 252 times -9748\nAnswer: -2456496","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((i*i\/(i\/(i*(i\/i**(-20))\/i))*i)\/(i*i**26))**30 assuming i is positive.\nAnswer: i**(-120)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-11)\/(440\/48)*-1.\nAnswer: 6\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -1.5 + 2.5. Which is the smallest value? (a) -1\/7 (b) -0.2 (c) g\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((m*m**(1\/2)\/m)\/m*m*m**(-5\/4)*m*m**5*(m**(2\/23)*m)\/m)**(-2\/25) assuming m is positive.\nAnswer: m**(-491\/1150)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: -3*7.314\nAnswer: -21.942","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 11*x - 12*x + 1497 = 3*y, 4*x = -4*y + 6004. Calculate the highest common factor of 9 and x.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 49497900 to the nearest 1000000.\nAnswer: 49000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of (5\/1)\/(12 - -1) and 256\/(-640) + 36\/(-10)?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let -2*l**2\/15 - 86178092*l\/15 - 928332942595058\/15 = 0. What is l?\nAnswer: -21544523","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(200) - (-1*sqrt(200) + sqrt(200)))\/(sqrt(196)*-1 - sqrt(196) - sqrt(196)) + 1 + (sqrt(2016)*-3)\/sqrt(7).\nAnswer: -761*sqrt(2)\/21 + 1","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 483*t - 6115196 + 325057 - 5201009 = 0. What is the ten thousands digit of t?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {r: 5, x: 3}. What is prob of picking 3 x?\nAnswer: 1\/56","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 4\/24117 and -121\/336.\nAnswer: 2701104","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 1904 to the power of 1\/9, to the nearest integer?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 45454153 to the nearest integer?\nAnswer: 357","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let z(y) be the first derivative of -2*y**3\/27 - 2*y**2\/3 - 2*y - 1047. Determine h so that z(h) = 0.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 604987?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -l**2*t*v - 460*l**2*t - 161*l**2*v + 4*l*t*v - 8674 with respect to t.\nAnswer: -l**2*v - 460*l**2 + 4*l*v","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 55\/126 and -4\/231.\nAnswer: 1386","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of 4, 678, 1810, 3406, 5472, 8014, 11038, 14550?\n\"Answer: g**3 + 223*g**2 - 2*g - 218","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 86 + -83. Suppose -u + k - 6 = -3*u, 6 = o*u + 3*k. Let v(m) = -277495*m - 20. Let q be v(u). Round q to the nearest 100000.\nAnswer: -1100000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 102 minutes before 11:19 AM?\nAnswer: 9:37 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 78*m - 149*m + 170305 + m**3 - 170304 + 71*m.\nAnswer: m**3 + 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let t(m) = m**2 + 16*m - 17. Let l be t(-17). Solve l = -p - 0 + 3 for p.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between -21 and -0.8?\nAnswer: 20.2","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 y and 1 b when two letters picked without replacement from bbbbbbbyw?\nAnswer: 7\/36","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of -116125, -114751, -111035, -103807, -91897, -74135, -49351?\n\"Answer: 195*n**3 + n**2 + 6*n - 116327","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let m(c) = 7*c. Let p(j) = j - 2. Let r be p(2). Let u(i) = r - 130*i + 0 + 134*i. Calculate u(m(o)).\nAnswer: 28*o","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -122 + 76 - (8 - 27).\nAnswer: -27","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 24603892 divided by -6?\nAnswer: -12301946\/3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: 23133400 (base 5) to base 2\nAnswer: 110010111011011000","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 133 is divided by 46?\nAnswer: 41","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let j be 18\/4*70\/3. Calculate the highest common factor of 70 and j.\nAnswer: 35","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 45 + -41. What is the greatest common divisor of 7 and j?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: 210010002111 (base 3) to base 6\nAnswer: 12524021","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is -193631 (base 10) in base 16?\nAnswer: -2f45f","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 a and 1 g when two letters picked without replacement from {g: 7, a: 1}.\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Are 188 and 188 nonequal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 140635 is divided by 1211?\nAnswer: 159","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -19*j + j**2 - 17*j + 37*j to the form a*j + q + r*j**2 and give r.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -9 - 3. Let y(d) = 2*d**2 + 4*d + 13. Is y(i) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 50\/5547 and 65\/12846.\nAnswer: 23752254","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is 92230013 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 9*b**3\/5 + 94*b**2 + 104*b\/5 = 0. What is b?\nAnswer: -52, -2\/9, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((0 - (0 + 5)) + -3 - (-115 - -71)) + 6.\nAnswer: 42","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -0.3 + 0.6. Let x = -4.5 - -3. Let y = x - 0.5. What is the third biggest value in y, f, 3?\nAnswer: y","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: -0.06 * 31552.1\nAnswer: -1893.126","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -552*o = -543*o + 9. Let i = 512\/5 - 102. Let v be 22\/(-14) + 9\/(-21). What is the closest to -0.2 in o, v, i?\nAnswer: i","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -7\/20 and 11\/232260.\nAnswer: 232260","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 305747653?\nAnswer: 305747653","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -73334486 divided by 4.\nAnswer: -36667243\/2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 219184 to the nearest integer?\nAnswer: 60","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -0.2 + 3.16477.\nAnswer: 2.96477","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Factor -q**2\/2 + 91105*q - 8300121025\/2.\nAnswer: -(q - 91105)**2\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of (36 - 33)\/(0 - 3\/(-7)).\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: 2*4\/36*(-9)\/3\nAnswer: -2\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: 5.3+-10\nAnswer: -4.7","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let n(k) be the second derivative of -k**7\/168 + k**6\/40 + 11*k**5\/80 - k**4\/16 - 5*k**3\/12 + 3*k + 30. Suppose n(s) = 0. What is s?\nAnswer: -2, -1, 0, 1, 5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (1815\/484)\/(3\/(-8))?\nAnswer: -10","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*d = 2*i + 233, -2*i + 322 = 4*d + i. Suppose 0 = g - 0*w + w - 21, -4*g - 5*w + d = 0. What is the units digit of g?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(w) = 3*w**2 - w - 1. Let a(m) = 2*m**2 - 1. Suppose 172*p - 33 = -721. Determine p*k(x) + 7*a(x).\nAnswer: 2*x**2 + 4*x - 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 36\/(-120)*(-10)\/6?\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -66*y - 0*y + 18150. Solve y = -6*s + 233 for s.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 6204133.\nAnswer: 13, 17, 67, 419","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let j(g) = -g**2 - 17*g - 18. Calculate the smallest common multiple of j(-12) and 4.\nAnswer: 84","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 1077 or 1139?\nAnswer: 1139","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 278 + -310. Sort m, 0.2, -2.\nAnswer: m, -2, 0.2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-105 - -120 - 72) + -3\nAnswer: -60","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let r be ((-6)\/4 - 0)*(-6052)\/17340. Let d = -2\/85 + r. Sort -2, -31, d in descending order.\nAnswer: d, -2, -31","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 10 = 2*m, -5*m + 418 = u + 395 for u.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*j + 30 = 4*u + 3*j, 15*u + 0 + 5 = 7*u + j for u.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(34)*2)\/sqrt(2) + (sqrt(51)\/sqrt(3) + sqrt(17) + 0 - sqrt(17)) + -4)**2*-2.\nAnswer: -338 + 48*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -2 + 4 + 4\/(-2).\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(x) = -x**2 - 5*x + 9. Let l be f(-6). Let v(a) = 2*a**3 - 7*a**2 + 3*a - 3. Let z be v(l). Which is smaller: z or 1?\nAnswer: z","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s be 1\/(-1) - 6\/(-8). Let i = -45 + 100. Let o = -66 + i. Which is bigger: s or o?\nAnswer: s","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -17*r + 51 - 0. Suppose -20*p + 8*p + 60 = 0. Solve -m - 2*m - 3*s = r, -41 = -4*m + p*s for m.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: -25665 divided by 5133\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*w - 3*n - 2*n + 10 = 0, 4 = -w - n. Suppose 4 = -5*c - 16. Let k = 0.8 - -0.2. What is the closest to k in 1, w, c?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 119317 - 5*c**2 + c**2 + 31034 + 3*c**2 + 3*c**2.\nAnswer: 2*c**2 + 150351","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is 42023120 + 2?\nAnswer: 42023122","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Convert 211 (base 4) to base 15.\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 111 - 61. Let x = y + -56. Let s(k) = -2*k**3 - 6*k**2 + 13*k + 5. Is s(x) a multiple of 10?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (11 - -8) + -16 + 3 + -2. Sort -49, 0, i.\nAnswer: -49, 0, i","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(b) be the first derivative of -b**4\/4 + b**3\/3 + b**2\/2 + b - 4. Let y(s) = 8*s**3 - 7*s**2 - 7*s - 7. Give -14*w(t) - 2*y(t).\nAnswer: -2*t**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let r(a) be the third derivative of -a**2 + 1\/3*a**4 + 0*a - 1\/5*a**5 + 0 + 0*a**3 + 1\/30*a**6. Factor r(x).\nAnswer: 4*x*(x - 2)*(x - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 222 and 10.\nAnswer: 1110","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 344 minutes after 11:17 PM?\nAnswer: 5:01 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence xv when two letters picked without replacement from hbbxhhxhbhbxvh.\nAnswer: 3\/182","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 8228499.\nAnswer: 3, 1151, 2383","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-3 - 0) + 1 - (7 + -4).\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 9883, 38821, 87035, 154513, 241243, 347213?\nAnswer: 472411","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 1 + 10. Suppose 87*d - 99*d + 24 = 0. Calculate the remainder when t is divided by d.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-20)\/36*(56784\/455)\/104*2\/3?\nAnswer: -4\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (3*sqrt(156)*-1 + sqrt(156))\/sqrt(12) - (-3*(1 + (-1 + sqrt(13) - sqrt(13))))**2.\nAnswer: -2*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -1 + -3. Let c be 4 + (0 + q - -44). Calculate the greatest common factor of 11 and c.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of (-3)\/(2\/2) + 7?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:33 PM and 5:44 PM?\nAnswer: 71","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-24 - 7) + -13 + 29?\nAnswer: -15","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*i = 4 + 1. Let p be (-2 - 2)*(i + 0). Solve 0 = -2*k + 2 - p for k.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (2 + 0)\/1 - (17 + -1). Let x be (-77)\/22*(30\/c + 1). What is the units digit of 31\/((-1)\/x*-2)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence rrm when three letters picked without replacement from {r: 3, m: 9}?\nAnswer: 9\/220","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: 0.6*17.4\nAnswer: 10.44","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 162\/17 or 0.3?\nAnswer: 162\/17","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 a when two letters picked without replacement from {y: 3, h: 3, a: 4, w: 3}?\nAnswer: 1\/13","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let y be 1 - (-21)\/(4 + 3). Suppose 0*q + 16819 = y*q + 5*b, 3*q + b = 12606. Is q prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-27)\/(-12 - (175\/25 + 80\/(-5))).\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 330807 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: Let g = 52 + 168. Suppose -4*m - g = -9*m. Is 9 a factor of m?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -1338*q**3 - 224*q**2 - 300*q**2 + 524*q**2 - 3590*q**3 + 1152*q**3.\nAnswer: -3776*q**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-2)\/(-1)*(-1)\/((-1)\/(-1))?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*m - 3 = g + 17, -4*g - 16 = 0 for m.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -1370 + 1371. What is the closest to -0.11 in -5, -3\/4, d, -5\/3?\nAnswer: -3\/4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -103 (base 5) in base 4?\nAnswer: -130","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -4 + (-6*(sqrt(117) + -1*sqrt(117)) - sqrt(117) - (sqrt(117) + (sqrt(117) - (-3 + sqrt(117))*-1)))**2 + 4 + ((sqrt(117)*-1 + sqrt(117))**2 + 2)*-2.\nAnswer: -72*sqrt(13) + 1877","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is 338 - 10?\nAnswer: 328","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*b = b + z + 28, -5*b - 5*z = 40. Let u(n) = -n + 7. Let o(a) = -19. Let j(q) = o(q) + 2*u(q). What is j(b)?\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 5086.532 centuries to months.\nAnswer: 6103838.4","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 3142 divided by -252229.\nAnswer: -3142\/252229","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) 1\/5 (b) -0.42 (c) 0.1 (d) -9 (e) -1\/3\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 18 - 23. Let l be 17\/b - (-10)\/25. What is the closest to 0 in -2, l, 0.5?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -95.2 - 39. Let g = y - -134.6. Let t = -3\/25 + 46\/175. What is the second biggest value in -1\/6, 2\/7, g, t?\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i be -4 + -3 + 8 + 1. Suppose -2*c + 1 + 3 = 4*w, -2*w - 4 = -i*c. Suppose -5*a + 2*q = -12, 2*a + q - 8 = 5*q. Solve s + w = a for s.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 168 and 1104297096?\nAnswer: 168","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let d(j) = 2*j - 2. Let b be d(2). Let n be 0*(1\/(-2) - -1). Suppose n = -6*p - 3 + 21. Put -6, b, p in descending order.\nAnswer: p, b, -6","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 1\/87 or 69\/2?\nAnswer: 69\/2","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(42) + (sqrt(672) - sqrt(672)*-3) + sqrt(672) + sqrt(336)\/(sqrt(24)\/sqrt(3)))\/((-4*sqrt(72))\/sqrt(12) + -4*sqrt(150) + sqrt(6)).\nAnswer: -22*sqrt(7)\/23","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) -57 (b) 6 (c) -5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let j(t) = t**3 + 5*t**2 - 1. Calculate j(-5).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 24\/30481 and -93\/17930?\nAnswer: 304810","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of -33539, -33540, -33543, -33548, -33555, -33564?\n\"Answer: -w**2 + 2*w - 33540","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 133239\/8 greater than or equal to 16655?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 231, 1605, 3893, 7095, 11211, 16241, 22185?\nAnswer: 29043","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is -12 - (8\/8 + -564782) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 10127, 20255, 30383, 40511, 50639?\nAnswer: 60767","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 0*a - 2*a + 3*a + (22 - 11*a - 22)*(-6 - 33 - 6) + 0*a + 3*a + a to x + t*a and give t.\nAnswer: 500","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.0120861084 to 4 dps.\nAnswer: 0.0121","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve 12*i - 27*i**2 - 3*i**4 + 46 + 19 + 18*i**3 - 65 = 0 for i.\nAnswer: 0, 1, 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 2629168732?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0*f**3 - 6*f**3 - f**3)*(3 - 1 - 1)*(3*f**2 - 4*f**2 + 0*f**2).\nAnswer: 7*f**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 101005?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 13 = 2*g - 11. Suppose -t = -0*t + o, -3*o - 9 = 0. Suppose 2*f - 46 = 3*r, 92 = 4*f + r - t*r. Calculate the remainder when f is divided by g.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -9*z - 191 + 335. Let w(p) be the first derivative of 20*p + z + 0*p**4 - 4\/5*p**5 + 0*p**3 + 0*p**2. Differentiate w(j) wrt j.\nAnswer: -16*j**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -21925 + 21924.7. What is the closest to 2\/7 in -6, 0.09, f?\nAnswer: 0.09","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 4, -13\/128, -0.1, -22 in increasing order.\nAnswer: -22, -13\/128, -0.1, 4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 77646108?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Sort 23, -13, 2\/5.\nAnswer: -13, 2\/5, 23","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Convert 188910848.7 microseconds to weeks.\nAnswer: 0.00031235259375","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 348041?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of -1044, -970, -898, -828?\n\"Answer: -u**2 + 77*u - 1120","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 52237 is divided by 184?\nAnswer: 165","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((j\/(j*j**(-4)*j))\/j)**(-32)*(j**(2\/23))**(-18\/13) assuming j is positive.\nAnswer: j**(-19172\/299)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let f(i) = -3*i - 2. Determine f(3).\nAnswer: -11","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is 597463187 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let t(z) = 257*z**2 + 22*z + 79. What are the prime factors of t(-14)?\nAnswer: 41, 1223","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(n) = -2*n**2. Let r be (3 - 0)\/(2\/(-350)*-15). Let d(g) = 42*g - 106 + 35 + r + 36. What is q(d(a))?\nAnswer: -3528*a**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 0.016684 and 0.2?\nAnswer: 0.0033368","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.3 times -70333.5?\nAnswer: 21100.05","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(153) - sqrt(153)*2*6) + sqrt(153)*3*-5)\/(sqrt(9) + sqrt(9) + ((sqrt(72)*-2)\/sqrt(8) - sqrt(9)) - sqrt(81)*2).\nAnswer: 26*sqrt(17)\/7","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Convert -12543 (base 8) to base 7.\nAnswer: -21651","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let k(h) = h**2 - 29*h - 58. Let f be k(31). Suppose 0 = -5*q + 15, w - f*q + 7572 = 6*w. Does 28 divide w?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 53065 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: 140144412 (base 6) to base 12\nAnswer: b38108","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 95 and 52060.\nAnswer: 95","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is 161ace + 81?\nAnswer: 161b4f","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let q(i) = -3*i - 16*i**3 + 0*i**3 + 0*i**5 + i**5 + 2*i**4 + 5*i**3. Let w(h) = -2*h**5 + 10*h**3 + 2*h. Let v(t) = 2*q(t) + 3*w(t). Factor v(c).\nAnswer: -4*c**3*(c - 2)*(c + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (-6*g**2 + 2*g**2 + g**2)*(2*g - 2*g + 3*g) - 15*g**3 + 5*g**3 - 5*g**3 in the form d + s*g**2 + c*g**3 + t*g and give d.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let c(s) = s**2 + 5*s - 27. Determine c(-9).\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in -0.3, -3, 1, -2\/7?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*y - 2 = 6 for y.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of -66237, -132479, -198721, -264963, -331205, -397447?\n\"Answer: -66242*n + 5","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose d = 13*d - 252. Suppose -g + 86 = d. Does 5 divide g?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 q and 2 v when four letters picked without replacement from qwwivvivqvvlqmqvww.\nAnswer: 1\/34","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 40711 is divided by 80?\nAnswer: 71","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let y(h) = 3*h - 14. What is the lowest common multiple of 11 and y(8)?\nAnswer: 110","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -764 divided by 6.\nAnswer: -382\/3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (i*i**10*(i**(-3)*i*i*i)\/i)\/(i**(3\/4)\/i**(-1\/20)) assuming i is positive.\nAnswer: i**(46\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -390975 or -390782?\nAnswer: -390782","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 31 (base 8) in base 12?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let a(j) = j**3 - 6*j**2 - 7*j + 20. Let i be a(10). Let t = 642 - i. Is 24 a factor of t?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(g) = -39*g + 2216. Calculate w(57).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 7531?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0*n**3 - 5*n**3 - 5*n**3)*(-3*n**2 + 2*n**2 + 0*n**2 + (0 + 0 - n)*(-2*n + 6*n - 3*n) + 7 - 3*n**2 - 7).\nAnswer: 50*n**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -95*l**2 + 3 + 12*l - 19*l - 4 - 12*l.\nAnswer: -95*l**2 - 19*l - 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -39152 or -39151?\nAnswer: -39151","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) 4 (b) -0.5 (c) -2.9 (d) -0.56 (e) 164.4 (f) -3 (g) 2\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 360 + 14. Suppose -5*k + o = -3*k. Is k composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 1 - -1. Let o be -1*((-8 - -1) + b). Solve -o = y - 2*i, -2*i + 1 = 6*y - 3*y for y.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(b) = b**2 + 10*b + 8. Suppose -28*u - 6235 = -131. Let s = u - -208. Calculate z(s).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many milliseconds are there in one sixteenth of a minute?\nAnswer: 3750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: 212 (base 7) to base 3\nAnswer: 10222","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -1313 + 1308. Sort -4\/7, b, 7\/3.\nAnswer: b, -4\/7, 7\/3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 74 + 640 = 7*s. What is the tens digit of s?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {y: 13, w: 6}. What is prob of picking 2 w?\nAnswer: 5\/57","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {a: 4, t: 2, j: 3, n: 6, q: 1, b: 2}. What is prob of picking 1 q, 1 j, and 1 n?\nAnswer: 3\/136","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve -16 = -4*g, -3*o + 6 = 5*g - 11 for o.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -302 + 304. Let n(k) = -168*k**q + 83*k**2 + 87*k**2. Let c(h) = -70*h + 2. Determine c(n(p)).\nAnswer: -140*p**2 + 2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 783104 and 23968?\nAnswer: 83792128","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2841?\nAnswer: 3, 947","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let h(z) be the second derivative of -z**5\/10 + z**4\/3 - 4*z**3\/3 - z**2 - 45*z. What is the second derivative of h(s) wrt s?\nAnswer: -12*s + 8","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0.1? (a) -0.1 (b) -0.5 (c) -0.05 (d) 0\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -104*r - 214*r - 60*r - 1 - 39*r - 73*r.\nAnswer: -490*r - 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:59 PM and 3:58 AM?\nAnswer: 359","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 21529?\nAnswer: 21529","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let h(t) = -t**2 + 15*t - 29. Let g be h(10). Solve -2*w = -3*z + 1, 3*z + 5 = -22*w + g*w for z.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_test"},"subset":"dm_maths"} +{"text":"Question: Let d = 37.453 - 45.453. What is the fifth smallest value in -4, -4\/9, d, -0.6, -3?\nAnswer: -4\/9","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -2\/3, -1\/4, 20693, -28, -2, 2 in decreasing order.\nAnswer: 20693, 2, -1\/4, -2\/3, -2, -28","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 10 and 16.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Round 42495.857 to the nearest ten.\nAnswer: 42500","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 19003248?\nAnswer: 2, 3, 11, 31, 43","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let c(s) be the second derivative of 5\/6*s**3 + 0*s**4 + 0 - 8*s + 1\/20*s**5 + 0*s**2. What is the second derivative of c(j) wrt j?\nAnswer: 6*j","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*d + 2*v - 8, -v - 2 + 6 = 2*d. Suppose d*g = -g + 28. Calculate the highest common divisor of 7 and g.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 10*p**2 + 28505*p - 960155 wrt p.\nAnswer: 20*p + 28505","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((h**(1\/4))**(-2\/13))**(-34\/3) assuming h is positive.\nAnswer: h**(17\/39)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve 36*u + 154 = -5*a, -24 + 30 = -3*u + 3*a for u.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 1*(-3304)\/(-45150) + ((-2768)\/344 - -8)?\nAnswer: 2\/75","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.05243418314 to 4 decimal places.\nAnswer: 0.0524","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let f(y) = 187*y**2 + 34*y + 34. Let w(t) = -17*t**2 - 3*t - 3. Let n(o) = 2*o**2 - 45*o + 128. Let c be n(18). What is c*w(m) - 3*f(m)?\nAnswer: 17*m**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is -576a - b4d4?\nAnswer: -12c60","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is (-155)\/10 - (4 - (-132)\/(-24))?\nAnswer: -14","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 66 by 1.\nAnswer: 66","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2 + 6 + 1)*((-2*g**3 + 4*g**3 - g**3)*(2*g - 5*g - g) + 5*g**4 - g**4 - 2*g**4 - g**4 - 1 + 1).\nAnswer: -27*g**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 26632 is divided by 284?\nAnswer: 220","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -151 + 231. Let x(d) = d**2 - 6*d + 7. Let h be x(5). Suppose 0 = -3*b - h*b + o. Is 8 a factor of b?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 6, -6, -4, 5, -2 in descending order.\nAnswer: 6, 5, -2, -4, -6","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 365 is divided by 61.\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*t = 5*x - 50, -3*x = -22 - 2. Calculate the greatest common divisor of t and 1051.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t be -4 + 2\/1 - -74. Suppose -5*l = -l - t. 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 l = -25 + 27. Suppose -l*y = y - 27. Let f(h) = h**3 - 7*h**2 - 13*h + 2. What is the units digit of f(y)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of 321, 487, 941, 1827, 3289, 5471?\n\"Answer: 24*j**3 - 2*j + 299","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 92331377 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is 30 a factor of 13985?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Factor -h**2\/3 - 160*h\/3 + 1169\/3.\nAnswer: -(h - 7)*(h + 167)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.51678 to two decimal places.\nAnswer: 0.52","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-93 + c**3 - 7*c**5 + 8*c**5 + 85)*(21 + 40 + 29).\nAnswer: 90*c**5 + 90*c**3 - 720","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -6*h + 35*h - 270039*h**3 + 270038*h**3.\nAnswer: -h**3 + 29*h","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let p(x) be the first derivative of x**2\/2 + 8*x + 2. Let q be p(-6). Let n(k) be the first derivative of -k**2 + 2*k + 1. Determine n(q).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -14711 - -14706. Let w = -0.09 - -0.01. Which is the third biggest value? (a) 3\/5 (b) f (c) w\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(k) = 2*k**3 - 15*k**2 + 19*k + 8. Determine l(6).\nAnswer: 14","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is -1726224 divided by -35963?\nAnswer: 48","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 1 - -2 - (13 + (-27 - -11))?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -32611\/2 + 12913951\/792. Is h <= -1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 4665 + -65343\/14. Let t = 9901\/100 - 99. Find the common denominator of t and u.\nAnswer: 700","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (38 - 23)*(3 - 309\/105). Let j = 0.3 + -0.1. What is the smallest value in -1, g, j?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(m) be the first derivative of -m**3\/2 - m**2 - 3*m + 4. Let k(j) be the first derivative of z(j). What are the prime factors of k(-3)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(w) = -w + 1. Let a(r) = -3*r. Let g(p) = 51*p - 662. Let c be g(13). Determine c*a(k) - 2*z(k).\nAnswer: -k - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -16*l + 42 = -22*l. Suppose 3*k - 4*h = -19 + 225, 0 = -2*k + 2*h + 138. Let p = k - l. Calculate the greatest common divisor of p and 7.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {o: 2, n: 3}. What is prob of picking 2 n?\nAnswer: 3\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is -364 + b94?\nAnswer: 830","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 1122.02 - 1103. Let a = -0.02 + r. What is the third biggest value in -1\/10, 5, a, -1?\nAnswer: -1\/10","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 84792 - 84773. Let o = 146 - 76. What is the remainder when o is divided by w?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many nanometers are there in 3\/40 of a millimeter?\nAnswer: 75000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = d - 2. Let w = 10 - d. What is the second derivative of 7*x + 14*x**4 + 0*x**4 - w*x**4 wrt x?\nAnswer: 72*x**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(d) = -147*d**2 - 16317*d + 18. What is q(-111)?\nAnswer: 18","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let t(v) = 12*v**2 - 105*v - 75. Let o(j) = -3*j**2 + 26*j + 19. Let c(g) = 21*o(g) + 5*t(g). Solve c(k) = 0.\nAnswer: -1, 8","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((j*j**(3\/23)*j)\/j**14*j\/j**(-1\/14)*j\/(j**(-39)*j))**(-2\/3) assuming j is positive.\nAnswer: j**(-3027\/161)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 45641*y**2 - 2*y - 10443?\nAnswer: 91282","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let l(z) = 2*z**2 + 21*z + 1. What is l(-10)?\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 608.\nAnswer: 2, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: (((-15)\/90)\/((-40)\/54))\/(198\/(-264))\nAnswer: -3\/10","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 6742072 to the power of 1\/2, to the nearest integer?\nAnswer: 2597","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 5? (a) 5 (b) 3 (c) -118 (d) -6\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*u - l - 15, -4*l + 67 = 5*u + 22. Suppose 5 = u*v - 15. Let w = -3 - -5. Solve -3*d - w - v = 0 for d.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 30, 71, 122, 183, 254?\nAnswer: 335","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let n be 4\/6 + 50\/15. Let d(b) = 2*b - 3. Suppose -5*k + 7*c - 2*c = -25, 5*c + 17 = 4*k. What is the remainder when k is divided by d(n)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 44*n = 45*n - 5 + 2 for n.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let y(i) = -39*i - 372. What is y(-13)?\nAnswer: 135","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is 2111112211112 + -10?\nAnswer: 2111112211102","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -1.8 + 47.8. Let j = w + -46. What is the biggest value in j, -2\/3, -5?\nAnswer: j","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(t) = t - 12. Let a be (-10)\/20*-1*14. Determine c(a).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 735 - 181 = 153*r - 58. Let o be (-2)\/4*(0 - -2). Sort o, -126, r.\nAnswer: -126, o, r","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 8.275804 litres?\nAnswer: 8275.804","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 390 = 4*o - o. Let l be 4\/10 - (0 + 72\/o). Which is smaller: l or -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (7*b + 407*b**2 - 6*b + 9*b - 10*b)*(2*b**2 + b**2 - 2*b**2) in the form r*b**4 + g*b + c + n*b**3 + l*b**2 and give r.\nAnswer: 407","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -1726 or -1717?\nAnswer: -1726","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve 15*l = -58 - 17 for l.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is 101 smaller than 62\/25?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let s(z) = -2*z**2 - 50*z - 112. What is the remainder when s(-21) is divided by 18?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 6256314017?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 150 is divided by 107.\nAnswer: 43","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 9*d - 20 = 4*d. Suppose -7 = -d*o + 5, -2*j + 2*o - 2 = 0. What is the third derivative of 4*r**6 - 5*r**2 + j*r**2 - 6*r**6 wrt r?\nAnswer: -240*r**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(t) = 3*t**2 - 5*t. Let h be ((-1)\/((-1)\/(-2)))\/(20\/30). Let u(w) = -w**2 + w. Let a be ((-12)\/(-6)*-1)\/(4\/30). Calculate a*u(x) + h*f(x).\nAnswer: 6*x**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 76359642?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 352*f**2*u**3 - 105*f**2*u - f*u**3 - f*u + 8*u wrt u.\nAnswer: 2112*f**2*u - 6*f*u","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of -804392, -804395, -804398, -804401?\n\"Answer: -3*y - 804389","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1 + 1 + (17 - 11) + -3.\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let p(y) = y**3 - 2*y**2 - y + 2. Let v be p(2). Let k = -25371 - -25375. Let h be 10\/12 - (v + k\/6). Is h at most 0.1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 177900014 to the nearest integer?\nAnswer: 13338","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*n - 1 = -7. Suppose 0 = -n*w + 4*w - 30. Solve 3*q + w = 4*h - h, -15 = 3*q + h for q.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: -2673 times 0.5\nAnswer: -1336.5","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let p(x) be the first derivative of -x**5\/15 + 7*x**4\/12 - x**3\/9 - 9*x**2\/2 - 6*x - 144. Solve p(m) = 0.\nAnswer: -1, 3, 6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -5.68 - -3.78. Let y = 1 + -3. Let t = -220 - -217. Which is the nearest to h? (a) t (b) -0.2 (c) y\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-23115)\/7370)\/((-30)\/(-110)).\nAnswer: -23\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence yy when two letters picked without replacement from {f: 6, y: 6}.\nAnswer: 5\/22","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let s(b) = b**2 + 3*b + 4. Determine s(0).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let f(s) = s**3 + 36*s**2 + 31*s - 99. Let w be f(-35). What is the greatest common factor of w and 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 124.1 and 477770.\nAnswer: 59291257","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-23 - -28 - (-33 - (-2 - (1 - -1)))) + 0.\nAnswer: 34","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 293898061 to the nearest integer?\nAnswer: 17143","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.490484 to 1 dp.\nAnswer: 0.5","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is -146 + 3?\nAnswer: -143","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -341*c - 4*c - 131*c - 17136 for c.\nAnswer: -36","meta":{"dup_signals":{},"source":"algebra__linear_1d_test"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:23 AM and 5:59 PM?\nAnswer: 576","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let f(a) = 23*a + 5. Let l(u) = -61*u - 16. Calculate 8*f(x) + 3*l(x).\nAnswer: x - 8","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve -7*h - 57 = -8*h - 18*c, -3*h + 12 - 18 = -5*c for h.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in -1, -79817, -2.69?\nAnswer: -2.69","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Round 42.90579 to one decimal place.\nAnswer: 42.9","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 83*i**4 - i**2 - 12 wrt i.\nAnswer: 1992*i","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 22398537?\nAnswer: 3, 7, 17, 8963","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(4900) + sqrt(4900)*-3*1)\/(sqrt(63)\/(-1*sqrt(9)) - sqrt(175)*-2).\nAnswer: -20*sqrt(7)\/9","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let u be 1794\/34580 - 3\/21 - (-4)\/38. Let a(i) be the second derivative of -3*i + 0*i**4 + 0 + u*i**5 - 2\/7*i**2 - 1\/7*i**3. Factor a(s).\nAnswer: 2*(s - 2)*(s + 1)**2\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 14 and 903.\nAnswer: 1806","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Express 2 + 3*n**3 + 2 - 6 + (2*n - 3*n + 5*n)*(-4*n**2 + 0*n**2 + 2*n**2) + 6*n - 6*n + 3*n**3 in the form u + d*n**2 + z*n**3 + a*n and give u.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.0105678926 rounded to 4 decimal places?\nAnswer: 0.0106","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-4 - 4 - 11)*(-1 + 2*q + 1)*(2 - 5 - 1) to a + z*q and give z.\nAnswer: 152","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -13430379 and -0.3?\nAnswer: 4029113.7","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: How many months are there in twenty-five quarters of a decade?\nAnswer: 750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -789*c - 131845 = -824*c. Calculate the smallest common multiple of 4 and c.\nAnswer: 15068","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -7 in -3, -7.76, 1\/4?\nAnswer: -7.76","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is -60265 minus 5876218?\nAnswer: -5936483","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 6629222.\nAnswer: 2, 641, 5171","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((x*x**(-2))\/x**(-14))**(1\/3) assuming x is positive.\nAnswer: x**(13\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 338*m + 298*m**3 - 304*m**3 - 292*m.\nAnswer: -6*m**3 + 46*m","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let u(m) be the first derivative of -3\/4*m**4 + 3\/2*m**2 + 1\/3*m**3 + 1\/5*m**5 - 2*m - 4. What is s in u(s) = 0?\nAnswer: -1, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1702601.4 rounded to the nearest 100000?\nAnswer: 1700000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 19 is divided by 10?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((0\/(-3))\/(21\/7))\/(-3)?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Express -4*i - 3 + 2*i + 3*i**3 + 1 + 4*i in the form x + z*i + q*i**3 + r*i**2 and give q.\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is (90 - 84 - ((-130)\/(-21) - 0))\/((-4)\/(-30))?\nAnswer: -10\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -n - 2 = j - 6, -4*n + 28 = -2*j. Let c = n + -3. Is c\/6*6 - -160 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m be 2\/(2\/(-24)*-2). Let j be -10*2\/m*-3. Suppose -3*x + 0*x = 4*r + 9, j*x = 2*r - 15. Solve -2*d - 10 = -r*d for d.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 712846163 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -23 - -37. Suppose 5*z - 5*x = -10, -z + 4*x - 8 = -0*x. Suppose -5*o - 4 + n = z, -3*o = -5*q - 605006. What is q rounded to the nearest ten thousand?\nAnswer: -120000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 32*k - 1586 + 5646 = 1468 + 1600 for k.\nAnswer: -31","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let j(t) = t**3 - t - 1. Let s(v) = -7*v**3 + 4*v + 4. Give -20*j(o) - 5*s(o).\nAnswer: 15*o**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let j(x) = -x**3 + 10*x**2 + 3*x - 11. Does 12 divide j(10)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (-2)\/2*((-30)\/(-5))\/6. Sort i, -8, 13 in increasing order.\nAnswer: -8, i, 13","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(v) = -v**2 - 6*v + 10. Let x be (-7)\/(-4*1\/(-4)). Give c(x).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*k - u - 20, -4*k - 2*u = -0*u - 30. Suppose -k*m + 9*m = 0. Suppose 6*v - v - 45 = m. Calculate the highest common divisor of 9 and v.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from nnnlnnppnnnonpklo. What is prob of sequence lloo?\nAnswer: 1\/14280","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is -c6bd354 + 4?\nAnswer: -c6bd350","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.02424151914 rounded to three dps?\nAnswer: -0.024","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (d\/d**(-1\/19)*d**0\/d*d)\/(d**17\/(d**17\/d)) assuming d is positive.\nAnswer: d**(1\/19)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of 54288, 54863, 56430, 59487, 64532?\n\"Answer: 83*p**3 - 2*p**2 + 54207","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 72 and 5?\nAnswer: 360","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 28388590 and 930.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve -100*k**3 - 12392*k**2 + 106592*k - 8448 = 0.\nAnswer: -132, 2\/25, 8","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Divide -10710 by 3570.\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -1 + 1. Sort -5, z, 1.\nAnswer: -5, z, 1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 10\/7 + -43\/35. Let k = 39520 - 237997\/6. Let r = k - -146. Sort 1\/3, r, -1, n in descending order.\nAnswer: 1\/3, n, r, -1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from oorroooo. What is prob of sequence ooro?\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let t(d) = -21*d**2. Let a(k) = -1463*k. What is a(t(m))?\nAnswer: 30723*m**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let -5 + 823*j - 13*j**2 + 999*j - 515 + 6*j**2 = 0. What is j?\nAnswer: 2\/7, 260","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -436660 + 436659.98200046. Let u = s + 0.018. What is u rounded to 7 decimal places?\nAnswer: 0.0000005","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 320.119 - 29339?\nAnswer: -29018.881","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence spg when three letters picked without replacement from {y: 1, s: 3, i: 1, g: 1, p: 2, o: 3}?\nAnswer: 1\/165","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3 + 2 + 6)*(13*c + 6*c + 2*c).\nAnswer: 105*c","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let g(r) = -r**3 - 13*r**2 + 15*r + 14. Let y be g(-14). Suppose 2*m - 100 = -k, 0 = -y*k - 3*k + 3*m + 300. What are the prime factors of k?\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of 6976, 25430, 43884, 62338?\n\"Answer: 18454*b - 11478","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 n and 2 s when three letters picked without replacement from {s: 9, p: 3, n: 4}.\nAnswer: 9\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Determine c so that c**2\/4 + 275*c\/2 + 75625\/4 = 0.\nAnswer: -275","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: 1 + (-1135 - -1111) + 67 + -2\nAnswer: 42","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Add together -2 and 80.\nAnswer: 78","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is 139 a factor of 8917122?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -2\/9? (a) -0.053 (b) 1\/7 (c) -1\/2 (d) 25\/22\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 5840 is divided by 221.\nAnswer: 94","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (16\/(-64) - (-3759)\/28)\/(-3 + 1) + 1.\nAnswer: -66","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -0.05 in 5, 6, 9\/5, -2\/11?\nAnswer: -2\/11","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 25 - 26.9. Is -0.1 bigger than p?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -45173*j - 39 = -45168*j - 3*t, -4*j - 9*t = -60 for j.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1254.\nAnswer: 2, 3, 11, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (-18)\/((-1 - -2)*-1). Let n(g) = c*g + 9 + g**2 - 5*g + 5. What is the least common multiple of 10 and n(-12)?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 872382 is divided by 586.\nAnswer: 414","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 52\/3879 and 2\/89217?\nAnswer: 89217","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is -17 + 72?\nAnswer: 56","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -119\/1146 and -53\/1064.\nAnswer: 609672","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-4*(-3 + sqrt(19) + 0))**2*-6.\nAnswer: -2688 + 576*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Expand (10*p**3 - 10*p**3 - 20*p**3)*(0*p + 0*p + p).\nAnswer: -20*p**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) -22 (b) -1\/4 (c) -9 (d) 3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify l\/(l\/((l*((l*l**(2\/15)*l)\/l)\/l)\/l)*l)*l**(-3\/4)*(l\/(l*l\/l**4))\/(l*l**(-32)*l) assuming l is positive.\nAnswer: l**(1883\/60)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.0240344081 rounded to four decimal places?\nAnswer: -0.024","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -24*(-19)\/684*(-6)\/16.\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 6.0331856 rounded to 2 dps?\nAnswer: 6.03","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 27*n**2 + 90*n**2 + 132*n**2 - 238*n**2.\nAnswer: 11*n**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.00010265235 rounded to six dps?\nAnswer: -0.000103","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let o(i) = -i**2 + 2*i. Let g be o(2). Let z be 3\/(12\/16 + g). Suppose -114 = s - z*s. Does 13 divide s?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2508 = 979*u - 6857 - 12173 for u.\nAnswer: 22","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is -5 - -1d3c?\nAnswer: 1d37","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of 706, 687, 668, 649, 630?\n\"Answer: -19*p + 725","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -1402 or -1417?\nAnswer: -1402","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (x**(3\/10)*(x\/(x*x**2*x))\/x*x)**(-4\/21)*x**(7\/2)*(x*x*x**(-2)*x)\/x*(x\/x**1)**(-6) assuming x is positive.\nAnswer: x**(281\/70)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -1145306\/211 - -5428. Do 0 and q have different values?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -76.8 + 73.21. Let h = w + -0.11. What is h rounded to one decimal place?\nAnswer: -3.7","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: -1261 divided by -13\nAnswer: 97","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: (30 - (55 - 32)) + 41 + (6 - -1) + -3\nAnswer: 52","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) -3544\/1249 (b) 2.4 (c) -2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 123 - 97. Let o(v) = 9 + t*v - 49*v + v**3 + 22*v. What is o(0)?\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 10220101112110 (base 3) in base 10?\nAnswer: 2074395","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*o + k - 28 - 35, 5*o = -3*k - 91. Let g be (-1)\/(-5) - (-9)\/o. Put -4, -0.4, g in descending order.\nAnswer: g, -0.4, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 16211309 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (12\/(-12))\/((-2)\/4). Suppose 0 = -3*l + 25 + i. Solve 3*g = -l, z - g - 3 - 4 = 0 for z.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 45 a factor of 2119?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 38154977 and 1557.\nAnswer: 173","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*t = 2*i + 16, 61*i - 150*i + 43*i = -41*i + 3*t + 22 for i.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let h be 5 - 3 - 1\/((-3)\/(-9)). Which is bigger: -3 or h?\nAnswer: h","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 781*c + 813*c + 327254 + 1645*c - 327254.\nAnswer: 3239*c","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -38\/3 + 184\/15. Which is the closest to 0? (a) 1\/6 (b) 13 (c) k\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -4\/9 - 14156\/9*g - 12524521\/9*g**2.\nAnswer: -(3539*g + 2)**2\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(g) = 12*g**2 - 6*g - 6. Let x(u) = -u - 2. What is a(f) - 4*x(f)?\nAnswer: 12*f**2 - 2*f + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (-695)\/(-231) + (0\/(-4) - 3). Let l = t - 79\/231. Which is the third biggest value? (a) 0.3 (b) l (c) 1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 82 divide 5749542?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (1452\/121*(-2)\/(-8))\/(12\/40).\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let y(t) = t**3 - 4*t**2 - t - 15. What is y(5)?\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 3*s**2 + 1131418 - 1131418.\nAnswer: 3*s**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3*s + 0*s + 10*s)*(-42*s**2 + 41*s**2 + 60*s - 205*s).\nAnswer: -7*s**3 - 1015*s**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Sort 14, 0.1, 79, 0.5, 0.02, 3, -1.\nAnswer: -1, 0.02, 0.1, 0.5, 3, 14, 79","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let d(x) = -16*x**4 - 8*x**3 - 4*x**2 + 4. Let n(g) = g**5 - 2*g**4 - g**3 - g**2 + 1. Let y(i) = -d(i) + 4*n(i). Let y(s) = 0. Calculate s.\nAnswer: -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 1371, 2746, 4125, 5508, 6895?\nAnswer: 8286","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is 22 - -132?\nAnswer: 220","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Round 9073.7 to the nearest 100.\nAnswer: 9100","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((y*y*y*y*y**10*y)\/(y*y*y*y**(2\/17)*y))\/((y\/(y\/y**6))\/y**(-2\/5)) assuming y is positive.\nAnswer: y**(381\/85)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let y(r) = -38977*r**2 + 2 - 38977*r**2 + 6*r + 77962*r**2 + 0. Calculate y(-3).\nAnswer: 56","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0.1 in 5, -1\/2, -2\/21, -1\/9, -2\/343?\nAnswer: -2\/343","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: 4 - (1 - (-5 + -3))\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let q(l) = 146*l + 176*l + 0*l + 1 + 85*l. Let m be q(-3). Round m to the nearest one hundred.\nAnswer: -1200","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from srnzrnnrrymsmzszrnzn. Give prob of sequence nm.\nAnswer: 1\/38","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {b: 9, a: 2}. Give prob of picking 1 a and 1 b.\nAnswer: 18\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 2.69 - 0.1093?\nAnswer: 2.5807","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 490136?\nAnswer: 2, 197, 311","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 5*c**3*p**3 - 17766*c**3*p - 468*c*p**2 - 29249598*p**3 wrt p?\nAnswer: 30*c**3 - 175497588","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: 0.02259+-0.03950494\nAnswer: -0.01691494","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve 168*b = -16*b - 16 + 5352 for b.\nAnswer: 29","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (p\/(p**43\/p*p))\/p**(-1\/6) assuming p is positive.\nAnswer: p**(-251\/6)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Convert 2516 (base 9) to base 4.\nAnswer: 131112","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Does 41 divide 61?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 79\/296442 and 82\/2193?\nAnswer: 5039514","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 2 + -4 + -2 - -4?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: 7 (base 10) to base 7\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 3 + 6*((sqrt(2880) - (sqrt(2880) - -2*sqrt(2880))**2) + 1 + sqrt(1280)).\nAnswer: -155511 + 240*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Factor -c**5 + 75*c**4 + 76*c**3.\nAnswer: -c**3*(c - 76)*(c + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is -332 divided by -83?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve -349*r + 44 = 2*v - 347*r, 0 = 12*v - 2*r - 12 for v.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 10\/12*31\/(-155)?\nAnswer: -1\/6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of 199, 1009, 3157, 7297, 14083, 24169, 38209?\n\"Answer: 109*b**3 + 15*b**2 + 2*b + 73","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -13*a**2*j*k**3 + 2*a**2*k - 3*a*j*k**2 - 99*j*k**3 - 71*j*k**2 - 5*j wrt k?\nAnswer: -78*a**2*j - 594*j","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*l + 4*x + 392, -l = -6*l + 2*x + 499. What are the prime factors of l?\nAnswer: 101","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out -123 * 6011889.\nAnswer: -739462347","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: -187653 * 35\nAnswer: -6567855","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -14895, -29823, -44751, -59679, -74607?\nAnswer: -89535","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 4910587096.\nAnswer: 2, 613823387","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Divide 9671 by 19.\nAnswer: 509","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Work out 1 + 4881.\nAnswer: 4882","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: How many micrometers are there in 37.7488 kilometers?\nAnswer: 37748800000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let g(a) = -18*a**2 - 1. Let v(y) = 30*y**2 - 341. Determine v(g(k)).\nAnswer: 9720*k**4 + 1080*k**2 - 311","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-8)\/(-10))\/((-1078)\/385)?\nAnswer: -2\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -190 = -15*m - 40 for m.\nAnswer: 10","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 8 - 2696*a - 696*a - 8.\nAnswer: -3392*a","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -3*o*w**2 + 217*o*w + 50*o - 29*w**4 + 4484 wrt w.\nAnswer: -6*o*w + 217*o - 116*w**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*z - 3*z**2 + 2*z)*(3*z**2 + 1 - 1).\nAnswer: -9*z**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 2024.555mg in grams?\nAnswer: 2.024555","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let q(s) be the third derivative of -5*s**8\/1344 - s**7\/7 - 65*s**6\/96 - 7*s**5\/8 - 7*s**2 + 126*s. Let q(f) = 0. What is f?\nAnswer: -21, -2, -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 26 + 17 + -97 - -99?\nAnswer: 45","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 5\/(-10) + 1617\/6?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:39 AM and 7:20 AM?\nAnswer: 341","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is (414\/(-30))\/(2\/10)*((-17)\/1)\/(-17)?\nAnswer: -69","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let y(f) = 17*f. Let g(b) = 21*b + 69. Let r(p) = 7*p + 25. Let i(s) = 4*g(s) - 11*r(s). Calculate i(y(n)).\nAnswer: 119*n + 1","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 9 - 5. Suppose -u = y + 2*f, -4*f - 29 = 5*y + 15. List the prime factors of 9\/y*4*-1.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 0.1, 3\/14, -298, 0.86 in descending order.\nAnswer: 0.86, 3\/14, 0.1, -298","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let z be 2\/3 + (8\/21)\/((-872)\/1526). Is -3\/5062 less than z?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*z - 2*z = -10. Calculate the common denominator of (-7566)\/390*15\/(-18) and -2 + z + (-17)\/(-6).\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -39313, -39297, -39281?\nAnswer: -39265","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*c = 6*s - 3*s - 98, -3*c = 4*s - 126. Is 10 a factor of s?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -c = -2*c + 2. Let f(a) = -a**2 - a - 2. Let n = -1 + 3. Let s(m) = -2*m**2 - 2*m - 2. Let b(k) = n*s(k) - 3*f(k). Calculate b(c).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 3360852 divided by -492?\nAnswer: -6831","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(200)*1*-2)\/(sqrt(120)\/(-1*sqrt(12))))**2.\nAnswer: 80","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let k be -1 + 0 - 0 - 1. Suppose -382 = -5*o - w, o + w = -0*w + 78. Is -3*(-3 - o) + k a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -25 + 37. Solve -5*z - 24 = g, j = z - 0*z - 4*g for z.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 1629 and 45.\nAnswer: 8145","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 12529583?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is -4 - 14260?\nAnswer: -14264","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2, 82, -1\/7 in decreasing order.\nAnswer: 82, 2, -1\/7","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let y(k) = k**3 - 5*k**2 - 7*k + 11. Give y(6).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (j**(-1\/4)*j**(3\/5))\/(j**6*j*j**(-2\/11))*(j**(-4)*j\/(j*j**(2\/3))*j)\/(j**6\/(j\/(j*j\/j**(-2\/11)*j))) assuming j is positive.\nAnswer: j**(-1099\/60)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1631 is divided by 164.\nAnswer: 155","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-3)\/18*(-36)\/((-12)\/(-2)).\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let z(g) = g + 1. Calculate z(-7).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*b - 5*n - 41 = 0, 4*b + n - 79 = -20. Suppose 51 = -r + 5*j, -3*r - 170 = 16*j - b*j. Is 60 a factor of (-7)\/r - (-2399)\/8?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 1297670.0462 + -1297775. Let w = t + -0.0462. Are 0 and w unequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -24*z + 10*z**4 - z**4 + 13*z + 10*z wrt z?\nAnswer: 108*z**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose w - 256 = 2*o - 843, -3*w = -3*o + 873. Is o a multiple of 37?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: ((-258)\/(-301)*-294)\/(-4)\nAnswer: 63","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let b(s) = -s**2 + 6*s + 3. Let j be b(6). Let l = j + -2. Differentiate 2*p**2 - 4*p**2 - l + 0*p**2 wrt p.\nAnswer: -4*p","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose j + 9 = 2*m, 0 = -4*m - 2*j + 2 - 4. Let h(p) = -23*p + 19*p + 4*p**m - 15 - 2*p**2. What is the tens digit of h(7)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 4*-3964.\nAnswer: -15856","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*p = 8, 2*p + 4 = -3*j + 2. Suppose -j*r = -5*b - 3752, -b - 2*r = 3*r + 745. Let n = -10505\/14 - b. Which is smaller: 0 or n?\nAnswer: n","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 6755, 5842, 4321, 2192, -545, -3890?\nAnswer: -7843","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 72463.17 rounded to the nearest ten thousand?\nAnswer: 70000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 13 - -35. Let t = j - 45. Suppose s - 34 = -l, -200 = -5*l + t*s - 46. What is the remainder when l is divided by 7?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (-2)\/10 - (-1304)\/20. Suppose -4*d - d = l. Let n = 23 + d. Does 5 divide n?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 1092 and 231?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Expand 0 + 2*f**2 + 0 + (0*f + 0*f - f)*(-3*f + 4*f - 2*f) + 3*f**2 - f - f + 3*f + f**2 - 2*f**2 + 2*f**2.\nAnswer: 7*f**2 + f","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -15\/7139 and 109\/968308.\nAnswer: 10651388","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 2*k**2*x**2 + k**2*x*z - 2*k*x*z**2 - x**3*z - 130*x**2*z**2 + 119*x*z wrt x?\nAnswer: 4*k**2 - 6*x*z - 260*z**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -w + 4*z = -33, w + 4*z + 7 = -0. Let l = 77 + w. What is the highest common factor of l and 10?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 278 and 86875?\nAnswer: 139","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of -892, -1789, -2690, -3595, -4504, -5417?\n\"Answer: -2*k**2 - 891*k + 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 2.09 - 0.09. Let m = -33 - -67\/2. Let y = -0.3 - 0.2. Put i, y, m in ascending order.\nAnswer: y, m, i","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {i: 4, w: 5, k: 2}. Give prob of picking 2 i and 1 w.\nAnswer: 2\/11","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.231174923 rounded to three decimal places?\nAnswer: 0.231","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 2195 is divided by 1090?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 48\/157 and -30\/11.\nAnswer: 1727","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 5*n**2 + 38033052*n - 38033052*n.\nAnswer: 5*n**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Express -o - 410 + 3*o + 219 as p*o + f and give p.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Sort 3, 144, 7 in decreasing order.\nAnswer: 144, 7, 3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*n = -x - 2*n - 10, 5*x = -3*n - 28. Let a be 9*x\/30*-4. Solve 5*p = a - 16 for p.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_test"},"subset":"dm_maths"} +{"text":"Question: Calculate (-1)\/((-1)\/(3\/3)).\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 44 = 4*i - 4*c, -4*i + 343*c - 347*c = -44 for i.\nAnswer: 11","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: 0 divided by 123\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in -0.5, 503, -4\/7, -5, 1\/683?\nAnswer: 503","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 48498? (a) 2\/9 (b) 3\/8 (c) 11 (d) 3\/2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 25 + -20. Suppose -3*n + 92 + 163 = 4*x, 3*x + f*n - 194 = 0. Let g = x - 50. What is the units digit of g?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a be 1 - 35\/((-30)\/6). Suppose -7*p + 41 = -a. Is p a multiple of 7?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 748 or 702?\nAnswer: 748","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 326 or 4230\/13?\nAnswer: 326","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*p = -7*p + 15. Calculate the lowest common multiple of 10 - (-2 - -3)\/1 and p.\nAnswer: 45","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*w + 433109*h - 433114*h - 120 = 0, -2*h - 42 = 0 for w.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -23*c = -17*c + 666. Let f = c - -123. Calculate the greatest common divisor of 60 and f.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -295865634 divided by -49310939?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {h: 3, e: 6, q: 3, y: 5}. Give prob of picking 1 h and 1 e.\nAnswer: 9\/68","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is 3302 + -22?\nAnswer: 3220","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Does 61 divide 3507824?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let m(r) = -923*r - 4943. List the prime factors of m(-42).\nAnswer: 149, 227","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(r) be the first derivative of r**2 + 40*r - 193 - 1\/3*r**3 - 8\/5*r**5 + 0*r**4. Find the second derivative of q(m) wrt m.\nAnswer: -96*m**2 - 2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -13, -0.27, -8, -6 in descending order.\nAnswer: -0.27, -6, -8, -13","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of 94, 132, 170, 208, 246?\n\"Answer: 38*z + 56","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: -5 + ((-14)\/((-3)\/(-96)*-74) - 1)\nAnswer: 2\/37","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(u) = -9*u**2 + 11*u + 9. Let b(y) = 5*y**2 - 6*y - 5. Calculate 7*b(t) + 4*p(t).\nAnswer: -t**2 + 2*t + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve 100*r**2 - 76192*r - 152784 = 0 for r.\nAnswer: -2, 19098\/25","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -0.08 + 4.08. Let m = 4.1 - b. What is the closest to m in 0, -2\/5, -4\/3?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is -775 - 1?\nAnswer: -776","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let u(b) be the second derivative of 2*b**7\/315 - b**6\/120 - b**5\/180 - 4*b**2 + 2*b + 14. Let v(n) be the first derivative of u(n). Solve v(h) = 0.\nAnswer: -1\/4, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: (7 - -1) + (-65 - (10 + 3 + -5 - 5))\nAnswer: -60","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Round 91071 to the nearest one hundred thousand.\nAnswer: 100000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let w(c) = -c**3 - 10*c**2 - c - 10. Let b be w(-10). Suppose 0 = y + 2*n + 3, y + b*n + 3 = 4*n. Calculate the least common multiple of 18 and 2\/(2\/(-18)*y).\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -66*(-49)\/42 + -48.\nAnswer: 29","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 16071*x**3 + 11*x**2 - 251*x.\nAnswer: 96426","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Sort 338, -6, 0 in increasing order.\nAnswer: -6, 0, 338","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let g be -3*(0 + (-14)\/6). Let p(o) = o**2 - 6*o - 8. Let z be p(g). Are 0 and z unequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1418 = -317*i - 5856 for i.\nAnswer: -14","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of 66, 126, 186, 246, 306, 366?\n\"Answer: 60*r + 6","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 4 l when four letters picked without replacement from llllllllllllvlllvll.\nAnswer: 35\/57","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -569 - -581. Solve 0 = 5*m - 4*i - 12, -2*m - 2*i - 2*i - r = 0 for m.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 5, 1, -3, -7, -11?\nAnswer: -15","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Round 14930.317 to the nearest 1000.\nAnswer: 15000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-70)\/10 - 4 - -11.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Product of -4.3 and -3.\nAnswer: 12.9","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: -12*2*4\/24\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -1 + 268*i + 82*i - 167*i + 712*i.\nAnswer: 895*i - 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 25957035?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 10*g = 15*g + 2*w - 26, 3*w - 5 = g. Does 8 = g?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -2\/9236702827 or 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (6\/(-8))\/(1\/4). Let k be -7 - (3 - 45\/5). Suppose 25 = 3*z + 2*z. Sort k, z, c.\nAnswer: c, k, z","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (z**(-2\/71))**(-31\/4) assuming z is positive.\nAnswer: z**(31\/142)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 8834 to the nearest integer?\nAnswer: 21","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -96 + 292\/3. What is the third biggest value in d, 4\/9, 3?\nAnswer: 4\/9","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 1 + 20 - (-249 + 260) - (2 + -5 - 31)?\nAnswer: 44","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 973 + -684. Suppose 2*m + 5*t - k = 0, -2*t + 0*t = -m + 167. Does 24 divide m?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -39 - (-7*(-96)\/(-112) + 3).\nAnswer: -36","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(y) = 8612*y + 34754. What is b(-4)?\nAnswer: 306","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from ototoooooo. What is prob of sequence ttoo?\nAnswer: 1\/45","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -19 in 4, -2, -0.2, -3?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-6 + 1 + 3)*(-2*z + 0*z + 6*z) + (-3 + 3 - z)*(15 - 35 + 17).\nAnswer: -5*z","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 2182 - 2186. Let g be 21\/(-98) - 2\/(-4). What is the closest to g in 1\/4, l, 2\/5?\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*r + 1 - 5. Let o(y) = y - 1. Let n be o(1). Let v = n - r. Solve -i + v*i = 5 for i.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 60.2842615 rounded to the nearest ten?\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let z(w) = -23*w + 3. Let g(f) = -f. What is 5*g(x) - z(x)?\nAnswer: 18*x - 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let u(g) = -4*g**3 + 68*g**2 + 77*g - 37. What is the remainder when 1866 is divided by u(18)?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is -9 - -28?\nAnswer: 19","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 8.7 times -0.393372?\nAnswer: -3.4223364","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Convert 912530 (base 10) to base 14.\nAnswer: 19a7aa","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 57736 (base 15) in base 5?\nAnswer: 32402001","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -6736\/3 or -2246?\nAnswer: -6736\/3","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {h: 2, m: 1, n: 9, a: 2}. What is prob of sequence nah?\nAnswer: 3\/182","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -23\/991406 and 87\/641498.\nAnswer: 10905466","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -1007\/6 + 167. Let h = 3 + 5. Find the common denominator of ((-26)\/(-28))\/((-1)\/h) and t.\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(r) = 2*r**3 - r**2 + 3*r + 1. Let k(t) = -t + 12. Let s be k(9). What is the units digit of q(s)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 1\/5486 or 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 448 to the power of 1\/2, to the nearest integer?\nAnswer: 21","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 2064 and 7224?\nAnswer: 14448","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (r**(-6)\/r**(1\/4))\/(r**(-1)*r\/(r\/(r**(2\/3)\/r)))*r**(-2\/5)*r*r*r*r*(r*(r\/r**(-2))\/r*r)\/r*(r**(2\/15)\/r)\/r**(2\/7) assuming r is positive.\nAnswer: r**(223\/420)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 15*z - 12*z - 465. Let m = -609\/4 + z. Which is bigger: m or 2?\nAnswer: m","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(u) be the second derivative of u**8\/13440 + u**7\/1680 - u**5\/60 + u**4\/12 - 2*u. Let w(o) be the third derivative of t(o). Determine k so that w(k) = 0.\nAnswer: -2, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 2\/45*(4 + 1).\nAnswer: 2\/9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is 370\/50 + -8 + 13636\/10 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 3*c - s + 22, 147*c = 145*c - 2*s + 12 for c.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let j(w) be the second derivative of -1 + 20*w - 1\/3*w**3 - 1\/12*w**4 + 4*w**2. Factor j(k).\nAnswer: -(k - 2)*(k + 4)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-4*sqrt(3)*2 - (sqrt(27) + 1))**2 + sqrt(9)\/sqrt(3)*-4*3.\nAnswer: 10*sqrt(3) + 364","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -23*x + 34*x - 3 - 79*x - 2*x + 8*x - 2*x + 5*x + 4*x - 5*x + (2 + 3 - 3)*(3*x + 0*x - x) to v*x + g and give v.\nAnswer: -56","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 2 + 3 + -4 + -2 - 3.\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let x(m) = -1337*m + 29491. Determine x(22).\nAnswer: 77","meta":{"dup_signals":{},"source":"polynomials__evaluate_test"},"subset":"dm_maths"} +{"text":"Question: Let u(k) be the first derivative of -162*k**5\/5 - 18*k**4 - 8*k**3\/3 + 4. Solve u(s) = 0.\nAnswer: -2\/9, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 53\/68685 and -113\/14060.\nAnswer: 10165380","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 3 - -1*12\/(-20) and 23?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence pss when three letters picked without replacement from usrprspruspppprrp?\nAnswer: 7\/680","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2 + 5 + 3)*(3 - 1 - 1)*(19*y**2 - 13*y**2 + 21*y**2)*(y**2 - 2 + 2).\nAnswer: 162*y**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) 1\/25 (b) 2\/11 (c) -2\/3 (d) -154\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 16.06902 + -16.08. What is h rounded to 3 decimal places?\nAnswer: -0.011","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1746252 is divided by 26.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let y(a) = a**2 + 400*a + 35309. What is y(-128)?\nAnswer: 493","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -0.2? (a) -3.3 (b) -0.3669 (c) 17\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 859*l - 2253*l + 24014 + 2472 = 0 for l.\nAnswer: 19","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let j be 38\/(-16) - ((-11 - -4) + 106\/16). Let k(o) = -2*o - 4. Let h be k(-6). What is the biggest value in j, h, -4?\nAnswer: h","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: 111 + ((-1955)\/138 - 98)\nAnswer: -7\/6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 15 + -22. Let w(h) = -66*h - 229. Let j(x) = -31*x - 107. Let b(a) = 17*j(a) - 8*w(a). Calculate b(t).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((m\/(m*m**(1\/5)\/m*m))\/m*m*m)\/(m\/m**5*m))**(-40)*(((m\/(m\/m**(-5)))\/m)\/(m*(m**(-1\/4)\/m*m)\/m))\/(m\/(m\/(m*m**2*m))*m*m**(-4)) assuming m is positive.\nAnswer: m**(-635\/4)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 445080 and 57304050.\nAnswer: 229216200","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve -48*t - 29*t + 637 = 14*t for t.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Convert 63b (base 15) to base 7.\nAnswer: 4046","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((d\/(d\/(d*d\/(d*d**(-2\/5)*d)*d)))\/((d*d**(-2))\/d))\/(d**(2\/9)\/(d\/d**(1\/5))) assuming d is positive.\nAnswer: d**(179\/45)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let i be ((378\/99)\/7)\/(-2 + -2). Which is greater: i or 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 4 + -3.6. Suppose 0 = -2*y + 7*y + 15. Let f = y + -2. Which is the third smallest value? (a) k (b) 2 (c) f\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(x) = 7*x**2. Let b(q) be the second derivative of q**3\/2 - 14*q. Give b(f(t)).\nAnswer: 21*t**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: (3\/(-4))\/((2\/16)\/((-169)\/21801))\nAnswer: 2\/43","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 2503 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 3453?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) 1 (b) -2\/1671 (c) -3 (d) -0.19\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let z(y) be the first derivative of 2 + 1\/3*y**3 - 7\/2*y**2 + 0*y. Determine m, given that z(m) = 0.\nAnswer: 0, 7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 948086 to the power of 1\/2, to the nearest integer?\nAnswer: 974","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Expand 2*q - q**4 - 2*q + 3*q**4 - 5*q**4 + 0*q**4 + (-3*q**2 - 2*q**2 + 3*q**2)*(5*q**2 - q**2 - 3*q**2) + 10*q**4 - 9*q**4 + q**4.\nAnswer: -3*q**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Does 5 divide (-826)\/(-4) + (-2 - (-7)\/14)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-v**2 + 0*v + 0*v)*(2 + 1 - 1) + 1489*v**2 - 547*v**2 - 884*v**2 + 2868*v**2 + 1674*v**2 to t + a*v**2 + d*v and give a.\nAnswer: 4598","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Convert 148287.1l to millilitres.\nAnswer: 148287100","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -1*(4\/10*55\/55)\/(56\/105).\nAnswer: -3\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -71 - -34. Let b = c - -36. Let t be (-2 - 0) + (-20)\/(-9). Put b, -0.4, t in decreasing order.\nAnswer: t, -0.4, b","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {w: 3, h: 4, d: 9, k: 4}. What is prob of picking 1 d and 2 h?\nAnswer: 9\/190","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve -22 = -5*z + 3 for z.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 66 - -24. Suppose 5*w - x = -5*h, 0*w + 3*w + 86 = 4*h. Let s = 21 - h. Solve -3 = -2*q + s for q.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(l) = 21 - 4*l**2 + 5*l**2 - 10 + 2*l. Let b be o(-8). Suppose 0 = 5*p - 96 - b. Is p a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -4 + 4 + 7*k**2 + (4 - 4 - 2*k)*(-3 - 2*k + 3) + 5*k**2 - 3*k**2 - 3*k**2 - 53*k**2 - k + 21*k + 55*k**2 - k**2 + k**2 - k**2.\nAnswer: 11*k**2 + 20*k","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of 4615, 9221, 13827, 18433, 23039?\n\"Answer: 4606*f + 9","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let a(t) = -t**3 + 4*t**2 - 3*t + 1. Let j be a(2). Let p(h) = h**2 - 7*h + 11. Let s be p(5). Let r be s*(-7 + 3)\/(-1). Solve -j*z - r = 2 for z.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(m) = 50*m + 1241. Let d(r) = 244. Let v(z) = -5*d(z) + k(z). Give v(-2).\nAnswer: -79","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 384.5 + -399. Put v, -1\/4, -0.2 in decreasing order.\nAnswer: -0.2, -1\/4, v","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(u) = -8*u + 2. Let h(c) = 9*c - 3. Let s(j) = 3*h(j) + 4*y(j). Let k be s(-1). Factor 0 + 3*o**3 + k - 4 - 3*o**2.\nAnswer: 3*o**2*(o - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 483 + 54 - 2390*v - 537 to g*v + t and give g.\nAnswer: -2390","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 204 minutes after 11:49 AM?\nAnswer: 3:13 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve 86*r - 5*r - 3*r + 690 = 48*r for r.\nAnswer: -23","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 606700 rounded to the nearest 10000?\nAnswer: 610000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose f = -m - 0*m - 6, 0 = -4*f - 20. Let j = 3 + m. What is the closest to 1 in 2\/13, j, -0.4?\nAnswer: 2\/13","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (26*n - 8*n - n + (-2 + 0 + 3)*(2*n - 2 + 2) + 5*n - 15*n - 18*n)*(9*n + 3*n + 15*n) to the form q*n + a*n**2 + f and give a.\nAnswer: -243","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is 929495279 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -16007 - 888*i + 4394 + 5306 wrt i?\nAnswer: -888","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -54*f**4*r - f*r + 217*r wrt f?\nAnswer: -216*f**3*r - r","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let m(n) = 6*n**2 + 6*n - 6. Let s be m(1). What is the greatest common factor of 27 and s?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -73\/57 and 3\/190.\nAnswer: 570","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: -1.761+-9454\nAnswer: -9455.761","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 0 - 0. Suppose -12*u = -26*u + 112. Suppose u = 21*z - 19*z. Solve z*m - 3*j = 4, -3*m + d*j + 16 = j for m.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 66067 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-14 + 7 + 17 + 7)*(-2*c - 11*c + c).\nAnswer: -204*c","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 0.026294l?\nAnswer: 26.294","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let x(h) = -3049*h + 9. Let z(n) = 4563*n - 15. What is 8*x(p) + 5*z(p)?\nAnswer: -1577*p - 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Expand h**3 - 2*h**3 + 3*h**3 + (-1 - 3 + 5)*(-3*h**3 - 2*h**3 + 6*h**3) + 3*h**3 + 3*h**3 + 2*h**3 + (4*h**2 - h**2 + 0*h**2)*(3*h - 3*h - 2*h).\nAnswer: 5*h**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -680 + 691. Suppose -4*t - 24 = -s + 5*s, -s + 18 = -2*t. Let r = t + a. Calculate the least common multiple of r and 9.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -23 - -26. Let x(q) = q**2 - 4*q + 5. Let w be x(4). Suppose w*t - 10 = l*t. Put t, -3, 2 in ascending order.\nAnswer: -3, 2, t","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 38045 to the nearest integer?\nAnswer: 34","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve t - 4*k = 3, 19*t = 16*t - k - 17 for t.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*o + 10 + 0 = 0. What is the nearest to -0.1 in 0.1, 5, o?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 69865816 to the nearest integer?\nAnswer: 412","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let z be ((-3840)\/50)\/12*5\/(-2). Factor -49*w + 78*w**2 + 3*w**4 - 15*w - 3*w**4 + 3*w**4 - 33*w**3 + z*w.\nAnswer: 3*w*(w - 8)*(w - 2)*(w - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*u = -3*c - 0*u + 6, -8 = -4*c - 2*u. Solve -3*b - c*b = -20 for b.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -16 - ((-2563)\/55 + 45)*(-75)\/(-2).\nAnswer: 44","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(g) = -2*g + 2. Let i(v) = 88*v - 22. Let x(l) = -11*c(l) + i(l). Differentiate x(h) with respect to h.\nAnswer: 110","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 189178 divided by -8599?\nAnswer: -22","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Sort 3\/4, -1511, 18, 0.01 in decreasing order.\nAnswer: 18, 3\/4, 0.01, -1511","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: How many centimeters are there in 67\/5 of a meter?\nAnswer: 1340","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let f(k) be the second derivative of -k**6\/45 - k**5\/30 - 17*k. What is w in f(w) = 0?\nAnswer: -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 1491306436?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let w(k) be the first derivative of 2*k**5\/15 + k**4\/2 - 2*k**3\/3 - 11*k**2\/3 - 4*k + 25. Factor w(j).\nAnswer: 2*(j - 2)*(j + 1)**2*(j + 3)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 945 and 833?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*z + 5*f = -3*z - 17, 2*f = -z - 5. Suppose -3*i = -2*i + 20. Let t = z - i. What is the tens digit of t?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 345 - 335. Let u be (-4)\/w*(-5)\/(-20)*5. Let y = 5.5 - 5. Which is the nearest to u? (a) -0.1 (b) y (c) -0.2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*z = 2*r + 24, -5*z + z - 2*r + 16 = 0. Suppose -z*o = -8*o + 39. Calculate the greatest common factor of o and 91.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is -4 - -2168?\nAnswer: 2164","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is w in 363*w**4\/4 + 2688675*w**3\/4 - 24716931*w**2\/4 + 4427325*w\/4 - 50058 = 0?\nAnswer: -7416, 1\/11, 9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 103\/189036 and -19\/14160.\nAnswer: 3780720","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0 in 0, -2\/23, 3\/5, -1\/2?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose r = 2*q - 20, -3*q + 0*q - 4*r = -52. What is the tens digit of (6 - q)\/(4\/(-14))?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 13184836 and 56?\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (3 + 0)\/(5\/20) + -2. Let z(i) = -i**3 + 9*i**2 + 12*i - 10. Let d be z(r). Let b(m) = 3*m**2 - 24*m + 3. List the prime factors of b(d).\nAnswer: 3, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 277 or 14732\/53?\nAnswer: 277","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: 80 - (-28 + (-42 - -87) - 18)\nAnswer: 81","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*h = -28 - 12. Suppose 5*b - 3 + h = 5*s, 3*b + 2*s = 22. What are the prime factors of b?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(p) = p**2 + 9*p + 10. Let q be z(-6). Does q = -10?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: -2028 divided by -52\nAnswer: 39","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -13\/6 + 5\/3. Let g = 5\/9 + -11\/9. Let k = n - g. Which is bigger: 2 or k?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Product of -6 and -27616.\nAnswer: 165696","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Sort -8.8, -5, 0.05, 2.562, 1.1 in decreasing order.\nAnswer: 2.562, 1.1, 0.05, -5, -8.8","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let w(a) = -3218*a + 2062752. Calculate w(641).\nAnswer: 14","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-2 + 2 - 3 - -4) + -2.\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Add -3.19164 and 1.29.\nAnswer: -1.90164","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -12164, -12161, -12158, -12155, -12152?\nAnswer: -12149","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let q be 40\/(-15)*6\/(-4). Let w(d) = -2*d**2 - q*d - 1 + 2 + d**2. What is the units digit of w(-3)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*d + 0*d - 20 = 0. Let i = -10 + d. Suppose 5*c + 3*z - 941 = i, 0 = -5*c - 7*z + 2*z + 945. Is c a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 4 - -11. Suppose -3*k - n = 0, 0 = 3*i + 2*k - 4*k - 79. What is the tens digit of i\/4*-10*-2?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(j) = 3*j. Let c(h) = 2*h**2 - 4. Let o(s) = 2*s**2 - 3. Let d(m) = -3*c(m) + 4*o(m). Give t(d(n)).\nAnswer: 6*n**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 203 minutes after 4:23 AM?\nAnswer: 7:46 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 116*x = -78 + 219 + 1019. Let c(v) = -12*v + 129. Determine c(x).\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(g) = 39 + g**2 - 6 + 6*g - 29. Let a(h) = -h - 1. Suppose 7 = 5*n - 3. Let q(r) = r**3 - r**2 - 2*r - 1. Let l be q(n). Give l*k(p) - 6*a(p).\nAnswer: -p**2 + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -10 - -119. Let x = f - 127. Let p = -47\/5 - -193\/20. Which is greater: p or x?\nAnswer: p","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(q) = -6*q + 10. Let o be i(1). Solve -y - 3*y = o for y.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of -51559, -103116, -154673, -206230, -257787, -309344?\n\"Answer: -51557*d - 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence tyy when three letters picked without replacement from yytyyty?\nAnswer: 4\/21","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Expand (5*l + 0*l - 3*l + (-l + 2*l - 2*l)*(25 + 28 - 61))*(30 + 2*l**3 - 2*l**3 - 2*l**4).\nAnswer: -20*l**5 + 300*l","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let s(q) = 416*q**2 - 209*q**2 - 216*q**2. Let u(i) = -3*i**2. What is s(u(z))?\nAnswer: -81*z**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in -3\/2, 2\/97, -4, 1\/3, 5\/3?\nAnswer: -3\/2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 45706*f - 25605*f - 24257*f.\nAnswer: -4156*f","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 4*v + 8 for v.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: (-1)\/7 - 9804\/(-1204)\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is 858673 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is -32*((-12)\/16)\/(84\/252)?\nAnswer: 72","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Put -0.03, 0.7, 0, -1\/4, 1, -0.13 in decreasing order.\nAnswer: 1, 0.7, 0, -0.03, -0.13, -1\/4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is -398846 + -1?\nAnswer: -398847","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -3942364, -15769461, -35481290, -63077851?\nAnswer: -98559144","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Convert 1013320223 (base 4) to base 10.\nAnswer: 294443","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((18*-13)\/(-3)*(-289)\/2312)\/(2\/8)?\nAnswer: -39","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of 314497, 628998, 943499, 1258000?\n\"Answer: 314501*n - 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 15 - 10. Suppose 220 = n*b + 5*j, -2*b + 4*j - 38 = -3*b. Suppose 2*g - b = g. List the prime factors of g.\nAnswer: 2, 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor a**2\/8 - 6*a + 23\/2.\nAnswer: (a - 46)*(a - 2)\/8","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is 1613143113 at least 1613143113?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(171)*2 - sqrt(171))\/sqrt(9))**2*2.\nAnswer: 38","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Express (6*d - 3*d - 4*d)*(38*d**2 - 198*d**2 - 187*d**2) - 4 - d**3 + 4 as q*d**3 + m*d + z*d**2 + j and give q.\nAnswer: 346","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is 422753 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -23\/2 - -14. Let a = 0.86 + -0.66. Is a greater than y?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -1 divided by -8895274?\nAnswer: 1\/8895274","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1623232, 0, -1 in decreasing order.\nAnswer: 1623232, 0, -1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let j(r) = 9*r - 1 + 6 + r**2 + 1 + 0. Let s be j(-8). Sort s, -5, -3 in increasing order.\nAnswer: -5, -3, s","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*o - 6 = 3*g, -4*o + 6 = g + 28 for g.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 622*j + 13031 = 42*j + 1431 for j.\nAnswer: -20","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 13367 divided by 25.\nAnswer: 13367\/25","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 65 - 62 - (0 + 0)?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (-35)\/(-25) - 9\/(-15). Let h be 1\/n*0 - -4. Suppose 2*x + h = 2. Which is smaller: -1\/10 or x?\nAnswer: x","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.0000012805 to 7 dps.\nAnswer: 0.0000013","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -227*s + 24*s = -899131 - 7489032. Is s a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from trtaagtxrxxtgarx. Give prob of picking 1 x and 2 r.\nAnswer: 3\/140","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let u(z) = z**2 + 6*z - 18. Let p = -3 - 6. Let r be u(p). Suppose r*g - 4*g - 4*o - 25 = 0, 5*o = 5*g - 20. Calculate the remainder when 53 is divided by g.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(v) = -14*v. Let u(p) = -5*p. Suppose -2*g = 3*w + 28, 5 - 23 = w + 5*g. Determine w*u(b) + 3*h(b).\nAnswer: -2*b","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let l(i) = i**3 + 13*i**2 - 3*i - 7. Let j be l(-13). Suppose 0 = -4*z - 3*w, 5*w + j = 2*z + 2*z. Calculate the highest common divisor of 21 and z.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -d - 28 = -q, 3*d + 2*d + 32 = q. Is q a multiple of 3?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(o) = 1736*o - 6469. Calculate the remainder when 952 is divided by u(4).\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is -2ad + 6a2?\nAnswer: 3e4","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -34043? (a) 0.8 (b) 3 (c) 0.2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: How many months are there in 4\/3 of a millennium?\nAnswer: 16000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {b: 3, z: 12}. Give prob of picking 3 z.\nAnswer: 44\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -374 or -307957?\nAnswer: -374","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 2.95 - -0.05. Let y = 3.1 - i. Let x = 0.3 - y. Which is smaller: -2 or x?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 166156970?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 1103067899*l**2 - 293226403 wrt l?\nAnswer: 2206135798*l","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 14.487257 rounded to 2 dps?\nAnswer: 14.49","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let m(l) = 568 + 1720 + 0*l - 531 + l. Is m(0) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 12.978 + -12.9840125. Round w to 3 decimal places.\nAnswer: -0.006","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*c**3 - 3*c**2 + 3*c**2)*(-211*c + 300*c + 262*c) + (-c**3 + c**3 - 2*c**4)*(-5 + 2 + 1) + 2*c**4 - 5*c**4 + 4*c**4.\nAnswer: -697*c**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let f(b) = 9619*b - 1381. What is the tens digit of f(4)?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of 1059227, 1059579, 1060165, 1060985, 1062039, 1063327, 1064849?\n\"Answer: 117*m**2 + m + 1059109","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -707 + 409. Let g = -168 - u. Does 26 divide g?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -8427418*m**2 + 1574451*m - 4.\nAnswer: -16854836","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 468170 rounded to the nearest one hundred thousand?\nAnswer: 500000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 54000 to the nearest integer?\nAnswer: 38","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((w*w\/(w\/(w\/(w*w\/(w\/w**0)))))\/w)**(5\/6)\/(w*w\/(w\/(w**(1\/3)\/w)))**(-4))\/((w*w**(7\/5))\/(w*w**(3\/8)\/w))**(-3\/23) assuming w is positive.\nAnswer: w**(4409\/2760)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 1576*s = 1565*s + 1881. Calculate the remainder when 526 is divided by s.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(n) = n**3 - n**2 - n - 2. Let d be x(2). Which is greater: d or -0.1?\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 438 and 7908642?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 39 + -41. Let u be -6 + 3 + r + 32. Calculate the greatest common factor of u and 3.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w be -4 - -3 - 9\/(-8). Let d(l) = l + 3. Let j be d(-3). Are j and w equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand s**4 + s**3 - s**3 + (2 + 3 - 3)*(-6*s**4 - 2*s**4 + 4*s**4) + 2*s**4 - 2*s**4 + s**4 + 0*s**4 + 4*s**4 - 7*s**4.\nAnswer: -9*s**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0.01? (a) 0.1 (b) 5 (c) -1\/2 (d) -32 (e) -1886\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -0.1 - 0. Let d = 57402\/7 - 8200. Let q be 2\/9*(-3)\/(-2). Which is the smallest value? (a) q (b) d (c) o\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*z - z + 0*z)*(0 + 5 - 3)*(-3 - 5 + 1)*(2 + 0 - 1)*(5 - 1 - 3).\nAnswer: -14*z","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence eqyk when four letters picked without replacement from yyylqkeeqyqkzz.\nAnswer: 2\/1001","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -274, -283, -298, -319, -346, -379, -418?\nAnswer: -463","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -113 - -116. Solve 5*q - k*p = 2*p, -4*p = 0 for q.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(c) = 0*c + 4*c**2 + 13 - c + 4*c - 9. Let r(l) be the third derivative of l**5\/60 + l**4\/24 + 5*l**2. Let b(n) = 3*r(n) - y(n). Differentiate b(q) wrt q.\nAnswer: -2*q","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -1\/4 in -3, -2\/17, -4, -2\/7, 67064?\nAnswer: -2\/7","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -5109372 or -5109366?\nAnswer: -5109372","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 691 minutes after 5:37 PM?\nAnswer: 5:08 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.0165 to two decimal places.\nAnswer: 0.02","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1\/2, 5\/2, -2.71, -18690 in decreasing order.\nAnswer: 5\/2, -1\/2, -2.71, -18690","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 1213 or -1516\/9?\nAnswer: -1516\/9","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred millions digit of 1527886003?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is 154710104 a multiple of 35?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 1\/15 of a decade in months?\nAnswer: 8","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 11303.4 rounded to the nearest 100?\nAnswer: 11300","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify a*a*(a\/a**(5\/7))\/a*a**(-1\/3)*a*a**(-5\/4)*a*a*a\/a**(-2\/13)*(a*(a*a**(-1\/12))\/a*a*a**(2\/3))**(-14\/13) assuming a is positive.\nAnswer: a**(391\/364)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 14043846 - 5*x + 14043847 + 14043849 - 56175392 + 14043850.\nAnswer: -5*x","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is -10101000010010 (base 2) in base 16?\nAnswer: -2a12","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 0.518 + -0.118. Put r, -1\/16, 2\/11 in decreasing order.\nAnswer: r, 2\/11, -1\/16","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 13 + -13.4. Let l = 20 + -22. Put l, m, 1\/5 in decreasing order.\nAnswer: 1\/5, m, l","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -4.32271 + 0.32271. What is the smallest value in g, 4, -1, -3\/10?\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is -143 - 3435302?\nAnswer: -3435445","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: -12 divided by -7146\nAnswer: 2\/1191","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 8?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (4 + -3 + ((sqrt(539) + 0 + sqrt(539))*-2 + sqrt(539) - sqrt(539)))**2.\nAnswer: -56*sqrt(11) + 8625","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (-568)\/16*-2 - 1. Calculate the highest common factor of 455 and w.\nAnswer: 35","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -34741 or -34776?\nAnswer: -34776","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 13 = 2*c - 27. Suppose -3*j = -c - 34. Suppose -m + 3 = -j. Is 15 a factor of m?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -3*-5*-1*sqrt(27) - (-3 + sqrt(36)\/(sqrt(192)\/sqrt(4))).\nAnswer: -91*sqrt(3)\/2 + 3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0.1? (a) 83 (b) -4 (c) 0.1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 44 - 43.6. Let d = -0.3 + -0.7. What is the closest to -2 in m, d, -5\/4?\nAnswer: -5\/4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(a) = -5*a. Let k(g) = g**3 - 4*g**2 - 5*g - 4. Let l be k(5). Let t(q) = q. Let v(y) = -3*y. Let s(f) = 5*t(f) + 2*v(f). Give l*s(u) + o(u).\nAnswer: -u","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let h(u) = 12. Suppose -50*x - 58 = 8*x. Let d(q) = q + 1. Give x*h(i) + 12*d(i).\nAnswer: 12*i","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let c be -1 + 3 + -2 + 2. Sort c, 4, 1\/2.\nAnswer: 1\/2, c, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 112\/(-140) - (-63)\/(-15).\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: How many tonnes are there in 393271.6kg?\nAnswer: 393.2716","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (2 + sqrt(425)*-2 + (sqrt(102) + -3*(sqrt(102) + sqrt(102) + sqrt(102)*1))\/sqrt(6))**2.\nAnswer: -72*sqrt(17) + 5512","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: 1*(-11)\/((-33)\/(-6))\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*i + v - 7 = 0, -3*v + 2*v + 13 = -5*i. Which is greater: 1 or i?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -2*g**4 - 6*g**2 - 7473*g + 91517 with respect to g.\nAnswer: -8*g**3 - 12*g - 7473","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 15*h - 4092 = 26*h. Let z = -367 - h. What is the closest to 0.1 in 0.4, -1, 0.1, z?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -2547744173 + 157.\nAnswer: -2547744016","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is -27199 <= -27198?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from pgp. Give prob of picking 2 p.\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Sort -27, 3, 29021, -11, -4, 4 in increasing order.\nAnswer: -27, -11, -4, 3, 4, 29021","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -41 + 77 + -12 - -32.\nAnswer: 56","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (44\/6)\/((-3)\/(-135)). Suppose r = 5*v - 3*v. Let p = v - 80. Is p a multiple of 56?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((o**7*o*o*o*(o\/o**(-11))\/o)\/(o\/(o\/o**(1\/6)))**(-2\/3))**(-37) assuming o is positive.\nAnswer: o**(-7030\/9)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 25\/5364 and -77\/3370380.\nAnswer: 10111140","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Expand 22 + 48*n**2 - 47*n**2 + 6 - n**2 + 0*n + 0*n + (-n - n + 4*n)*(-2 + n + 2) + n**2 - n**2 + 2*n**2 - 3*n + 3*n + n**2.\nAnswer: 5*n**2 + 28","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((f**(1\/10)\/f)\/f**(-6\/5))**(-7\/6))**(7\/4) assuming f is positive.\nAnswer: f**(-49\/80)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 7*f + 7*f - 5486524 - 693930. Is f a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(x) be the first derivative of -4*x**2 + 93. Determine d(2).\nAnswer: -16","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 e and 1 w when three letters picked without replacement from {m: 1, n: 5, e: 4, w: 10}.\nAnswer: 1\/19","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*m = 5*f, 0 = -3*f + 306*m - 307*m + 4. Let x(v) = -123*v**3 + v - 1. Calculate x(f).\nAnswer: -123","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {z: 1, x: 2, b: 4, j: 3, d: 4}. Give prob of picking 2 x.\nAnswer: 1\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 3782 + -3155. What is the greatest common factor of 399 and i?\nAnswer: 57","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 19*b = 26*b - 756. What is the lowest common multiple of b and 40?\nAnswer: 1080","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 53212 is divided by 512.\nAnswer: 476","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 30290 and 2260076.\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*o - 80 + 63 = 11*h - 8*h, 3*h + 20 = -5*o for h.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 1 - 1 + 2 - h + 5.\nAnswer: -h + 7","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -32 - -13. Let m = 13\/818 - -140579\/7362. Let d = t + m. Do d and 0 have different values?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -49 - -147. What is the remainder when u is divided by 30?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 344 divided by -3.\nAnswer: -344\/3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) -1\/5 (b) 0 (c) 1\/5 (d) 0.142\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Factor 4*x**4 - 64*x**3 + 384*x**2 - 1024*x + 1024.\nAnswer: 4*(x - 4)**4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*z - 17 = 5*r, 8*r + 35 = 3*r + 5*z for r.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in 0, 0.2, 0.3, 0.13?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -41.19 - -42. Let a = g - 0.77. Put 1\/5, a, 2\/7 in increasing order.\nAnswer: a, 1\/5, 2\/7","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: 505 (base 6) to base 9\nAnswer: 225","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 474 to the nearest integer?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2, 0, 1, -0.5, 3 in descending order.\nAnswer: 3, 2, 1, 0, -0.5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let u(g) be the second derivative of 10*g**3\/3 - 15*g**2\/2 + 31*g. Let y be u(2). Suppose 3*l = -2*l + y. Solve -4*p - 2 = l*m, -2*m + 4 = -0*m for p.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s be 4 - (-4)\/2 - 3. Solve 0 = 5*y + s*x, -3*x = 3*y - x for y.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 491280 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 325 minutes before 6:59 PM?\nAnswer: 1:34 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -907*s = -910*s + 8352. What are the prime factors of s?\nAnswer: 2, 3, 29","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-2*sqrt(77)*-5)\/(sqrt(49)\/sqrt(112)) - (-4 + (sqrt(176)*1 - sqrt(176))*4)**2.\nAnswer: -16 + 40*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 607 minutes after 9:39 AM?\nAnswer: 7:46 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0 + 3 - (-5 + 3).\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 4 + n - 26 - 10 + 10.\nAnswer: n - 22","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 3 - 3.3. Let q = -1.6 + 2.1. Which is the third smallest value? (a) q (b) f (c) 0\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(y) = 3*y**2. Let w(v) be the first derivative of 0*v - 1 + 1\/3*v**3 + 0*v**2. Determine b(w(l)).\nAnswer: 3*l**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve -l - 15 = -5*k, 3 = -2*k - l + 9 for k.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of (76\/(-5))\/(4\/360*-4) and 30.\nAnswer: 1710","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 2774 and 38722.\nAnswer: 38","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: -7 (base 13) to base 14\nAnswer: -7","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 32 - 17. Suppose -2 = 3*k + 31. Let v = y - k. What are the prime factors of v?\nAnswer: 2, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.0000701752136 to 6 decimal places.\nAnswer: 0.00007","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 6.94 - 7. Which is the second biggest value? (a) u (b) 2 (c) -2\/9\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0, 13, -5, 1 in ascending order.\nAnswer: -5, 0, 1, 13","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: 12002111 (base 3) to base 6\nAnswer: 25104","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 10*o + 1139 - 1139 + 3*o - 16*o.\nAnswer: -3*o","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -26504\/801 - -298\/9. Let f = g + -184\/267. Put 1, f, 0 in ascending order.\nAnswer: f, 0, 1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-1900)\/(-1120)*8 - 13?\nAnswer: 4\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 67*d**2\/7 - 30207222*d\/7 + 1803416\/7.\nAnswer: (d - 450854)*(67*d - 4)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of 19820, 19813, 19806, 19799, 19792?\n\"Answer: -7*w + 19827","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from olomuxlxb. Give prob of sequence ux.\nAnswer: 1\/36","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Convert 76294.33mm to meters.\nAnswer: 76.29433","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 1758870 rounded to the nearest 100000?\nAnswer: 1800000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 215834 is divided by 531.\nAnswer: 248","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 19 and 860219813.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {v: 6, g: 3, w: 5, z: 2, r: 1}. What is prob of sequence zg?\nAnswer: 3\/136","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (3\/(-2))\/((-9)\/24). Suppose 0*a = 2*a - u. Suppose 47 = -0*r + a*r - 3*w, 0 = -5*r + w + 111. Is r a multiple of 11?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 1*((-2)\/(-7))\/(27\/(-252)).\nAnswer: -8\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -6081075 divided by 2145.\nAnswer: -2835","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4 = -15*g - 3 + 29. Let b(q) be the second derivative of 0 + 0*q**g + 12*q + 5\/6*q**3 + 5\/12*q**4. Factor b(d).\nAnswer: 5*d*(d + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence aana when four letters picked without replacement from aaaaaanaaaaaa?\nAnswer: 1\/13","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 25747763?\nAnswer: 31, 173, 4801","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let k(x) be the first derivative of 1\/140*x**5 - 20 - 22*x + 1\/84*x**4 + 0*x**2 - 1\/21*x**3. Let o(u) be the first derivative of k(u). Factor o(m).\nAnswer: m*(m - 1)*(m + 2)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 10*q**2 + q + 734959*q**3 - q - 734951*q**3.\nAnswer: 8*q**3 + 10*q**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let h(j) = -8*j**2 + j + 9. Let m(f) = -3*f**2 + 3. Let i(t) = -4*h(t) + 11*m(t). Suppose 0 = -6*n + 10*n + 8. Give i(n).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s be 2\/(-110) - (-2)\/10. Let y = -446.5 - -446. Sort 3\/4, y, 5, s.\nAnswer: y, s, 3\/4, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:18 AM and 8:20 PM?\nAnswer: 662","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 a and 2 g when four letters picked without replacement from {e: 3, a: 6, f: 3, g: 3}.\nAnswer: 3\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let v(n) = -n**2 - 1187*n - 157323. What is v(-152)?\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 14 is divided by 4\/30 - (-43)\/15?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 c and 2 b when four letters picked without replacement from {v: 4, i: 8, c: 2, b: 2}?\nAnswer: 1\/1820","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 5 + (1 + -3 - 2) + -1?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Divide -3590 by -718.\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*k - 6 = 3*k. Let b(c) = -10*c + 74. Let l be b(7). Solve -l*u + u = k for u.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(q) = 3*q**2 - 7. Let v(u) = u**2 - 2. Suppose 64 = 3*y + 22. Let w(p) = y*v(p) - 4*x(p). Let z(b) = 2*b**2. Give z(w(f)).\nAnswer: 8*f**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0.2 in -0.1, -0.108, -2, 2\/7?\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -1361, -2727, -4081, -5417, -6729, -8011?\nAnswer: -9257","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Factor n**5 + 2514858*n**4 + 1581132719745*n**3 + 6324490641316*n**2.\nAnswer: n**2*(n + 4)*(n + 1257427)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let r(w) = -w**3 - 7*w**2 - 4*w - 13. Let y be r(-7). Suppose -y = -3*o - 0. Suppose -o*t = 3*d - 139, -t = -4*d - d + 185. What is the tens digit of d?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -12*s + 2545 + 8357 = 11*s. Calculate the remainder when s is divided by 125.\nAnswer: 99","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(p) = 2*p**2 + 18*p - 12. Let x be u(-9). Suppose 4*o = -s - 2*s - 34, 0 = -5*s - 3*o - 53. Is x < s?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is 5613 - -161255?\nAnswer: 167070","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -k + 10 - 1 = 3*j, 4*k = 5*j + 36. Let r = k + -8. Suppose -2*x = 8, 2*f - r = -x + 3. What is the units digit of f?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Add 58.11 and 0.985.\nAnswer: 59.095","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2 - 3 + 2 - 11*p)*(-3*p**2 - p**4 + 3*p**2).\nAnswer: 11*p**5 - p**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*q**2\/7 + 20277004*q\/7.\nAnswer: 2*q*(q + 10138502)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Put 3, -2\/9, 0.35, -0.3 in ascending order.\nAnswer: -0.3, -2\/9, 0.35, 3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -11*q = -5*q + 36. Let c = 8 - 27. Let m = -27 - c. Is q greater than m?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(o) = 2 + 3*o - 2*o - 7*o**3 + 19*o**2 + 2 + 6*o**3. Let d be r(19). Let f = -22 + d. Let z(y) = -3*y - 1. What is z(f)?\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((k**(-1\/3))**(-7\/2))**2\/(k**3\/k**(4\/9))**(-50) assuming k is positive.\nAnswer: k**(1171\/9)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 3050?\nAnswer: 2, 5, 61","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:26 AM and 11:00 AM?\nAnswer: 154","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -922845*x**2 + 92*x - 373130186.\nAnswer: -1845690*x + 92","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let w(x) be the third derivative of -x**8\/3360 - x**5\/120 + x**4\/8 - x**2. Let c(l) be the second derivative of w(l). What is the derivative of c(p) wrt p?\nAnswer: -6*p**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2483*o**2 - 119*o**3 - 15103*o + 15103*o - 2480*o**2.\nAnswer: -119*o**3 + 3*o**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.000254134584 to 5 decimal places.\nAnswer: 0.00025","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*d = 4*x - 1284, 4*x + 1257 = 3*d - x. Calculate the greatest common divisor of 8 and d.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -19 = 2*r - 3*a, 0 = -r - a - 0*a - 7. Let s(l) = 4*l**2 + 32*l + 2. Let x be s(r). Find the first derivative of -1 - 8 + 158*p**2 + 3 - 132*p**x wrt p.\nAnswer: 52*p","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Product of -0.05 and -1201.753.\nAnswer: 60.08765","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let w(s) = s**3 + 7*s**2 - 11*s - 16. Let q = -29 - -21. Let x be w(q). Solve -4*h + x = -0*h for h.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -80813*n**3 + 1404*n**2 - 101477323*n?\nAnswer: -484878*n + 2808","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 7*b - 3*b - 4*b + 671*b**2.\nAnswer: 671*b**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 211 divided by -241571.\nAnswer: -211\/241571","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -b - 1, -3*b + b = -3*w + 8. Suppose -5*j + 4*o = -2392, 3*j = -w*o + 152 + 1292. Is j a multiple of 60?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_test"},"subset":"dm_maths"} +{"text":"Question: Let q(k) = -2*k + 5*k - 2*k**2 - 7 + 3*k**2. Let z be q(-4). Sort z, 5, -1 in ascending order.\nAnswer: z, -1, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) -0.1 (b) 4 (c) 0.2 (d) -2\/3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let w(g) = -11*g + 6. Let k be w(-3). Let x = 28 - k. Let c(t) = -t**2 - 22*t - 8. Is c(x) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*m + 198 = 9*m - 6*m - x, 5*m + 2*x = 204 for m.\nAnswer: 40","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Divide 0 by -617.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Does 16 divide 13473914?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Are 0 and 3\/2510 nonequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -249 - -252. Let n be (-5)\/(-2) + 0 - 2. Solve n*i + i**2 + 1\/2*i**g + 0 = 0 for i.\nAnswer: -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 4, 32, 1 in ascending order.\nAnswer: 1, 4, 32","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:42 AM and 5:23 PM?\nAnswer: 401","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of 242759, 242764, 242771, 242780, 242791, 242804?\n\"Answer: a**2 + 2*a + 242756","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*b + 1696 = -212*m, 0 = 172*b - 169*b + 5*m + 40 for b.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -3.4 - -0.4. What is the nearest to v in -2\/19, -4\/3, 4?\nAnswer: -4\/3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 2 minutes after 7:48 AM?\nAnswer: 7:50 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 15774683 is divided by 3154928.\nAnswer: 43","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 0.717 + 0.283. Which is the closest to 0? (a) q (b) -2 (c) -2\/9 (d) -40\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(x) = 6*x**2 - x. Let j be l(3). Let i be (-3 + j)\/4 + -2. Suppose -2*w = -3*w + 10. What is the highest common divisor of i and w?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 352 (base 8) to base 3.\nAnswer: 22200","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve -37 = 42*q - 247 for q.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:37 AM and 10:46 AM?\nAnswer: 249","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is 3221 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -v + 3*r + 1663 + 3171 = 0, -5*v - r + 24218 = 0. Is v composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 5 + -2304.\nAnswer: -2299","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Put 0, 1, 5, -4, -511 in increasing order.\nAnswer: -511, -4, 0, 1, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: -13 - (5 + 3 + -14)\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: How many kilometers are there in 0.948583m?\nAnswer: 0.000948583","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Express (-3 + 11 - 1)*(-1 + 9*v + 1) - 105*v + 204*v - 68*v in the form t + w*v and give w.\nAnswer: 94","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_test"},"subset":"dm_maths"} +{"text":"Question: Suppose -j + 1 = -3*c, -j + 8 = 4*c - 0. Let n(i) = -i**3 + 5*i**2 + 2. Let y be ((2 - 0)\/(-4))\/(6\/(-60)). Let l be n(y). Solve -l = -x - c for x.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 51*p - 35745 + 12897 = 0. Does 64 divide p?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(d) = d**3 - 10*d**2 - 12*d + 13. Let j be s(11). Factor 0*b**2 - 3 + 3*b**2 + 0*b**j.\nAnswer: 3*(b - 1)*(b + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -10 + 9*i**4 + 3*i**4 - 6*i**4 wrt i.\nAnswer: 24*i**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 2.328 - 3.328. Let n = 11\/2 + -5. Let x be -1 + -1 - 88\/(-32). Which is the nearest to 0? (a) n (b) x (c) h\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 2 + -6 + (9 - (12 - -9))?\nAnswer: -16","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 36992 - 18510 - 18482 + 2*r.\nAnswer: 2*r","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 126579788 and 1492?\nAnswer: 1492","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 10 + -5. Let j(i) = i**3 - 8*i**2 + 7*i. Let q be j(7). What is the remainder when ((q - 2) + -17)*-1 is divided by p?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(27)\/(sqrt(27)\/sqrt(3)*2) + sqrt(33)\/(sqrt(11)*1)*4.\nAnswer: 9*sqrt(3)\/2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1710 = -121*b + 20*b + 195 for b.\nAnswer: -15","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 7138 and 172?\nAnswer: 86","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-336)\/(-40)*(125\/(-375))\/((2\/(-90))\/(-1)).\nAnswer: -126","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: -11 * 6.028041\nAnswer: -66.308451","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let r(p) = -7*p. Let v(n) = -10*n - 3. Let h(a) = 1. Let g(k) = 6*h(k) + 2*v(k). Let q(o) = -6*g(o) + 17*r(o). Let u(y) = -2*y + 14*y + 3*y. Calculate q(u(c)).\nAnswer: 15*c","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in -1.1, -169, 0.5?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 10212 - 71961\/7. Let m = 68 + a. What is the closest to 0.1 in m, -4, 4?\nAnswer: m","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0.8, -4, 67, 1\/2.\nAnswer: -4, 1\/2, 0.8, 67","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 180559507 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: Let f(r) = r**3 - 18*r**2 + 33*r - 13. Let j be f(16). Solve 2*b = j*p - 4, 0 = p - 4*p - 2*b + 8 for p.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 21853 and 960999.\nAnswer: 533","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Convert -626 (base 7) to base 3.\nAnswer: -102122","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 7937 to the nearest integer?\nAnswer: 89","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve 253*n - 144*n = 132*n + 483 for n.\nAnswer: -21","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Factor -5*m**2 - 830000*m - 34445000000.\nAnswer: -5*(m + 83000)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is 17449 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:07 AM and 8:05 AM?\nAnswer: 298","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Convert 3688834 (base 10) to base 13.\nAnswer: 9c2056","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 192745773.\nAnswer: 3, 11, 23, 84649","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Work out 7 * 6.133802.\nAnswer: 42.936614","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Which is the sixth smallest value? (a) 0.05 (b) 7 (c) 0.007 (d) 4 (e) 0.2 (f) 0.3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -940 + 956. Which is smaller: 52\/3 or n?\nAnswer: n","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is -2344043 - 134231?\nAnswer: -3033324","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:05 PM and 2:56 PM?\nAnswer: 51","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 0 + (-69)\/(-15) + (-78)\/130?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is -67 + -2d964?\nAnswer: -2d9cb","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in 291, 2\/5, 0.19, -3, -0.4, 3, 4?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let v(s) be the third derivative of -s**6\/120 - s**5\/4 + s**4\/12 + 19*s**3\/3 - 3075*s**2. Give v(-15).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-42)\/(-211365)*-30)\/(2\/(-11))?\nAnswer: 2\/61","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let c(n) be the third derivative of 13*n**4\/8 + 5*n**3 + 31*n**2. Does 23 divide c(1)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(s) = s**3 + 12*s**2 - 6*s + 17. Let x be l(-13). Let r = x + 74. Suppose m + 4*m = r, m = 5*p - 2395. Is p a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find b, given that -4*b**5 + 7616*b**4 + 38152*b**3 + 53440*b**2 + 22908*b = 0.\nAnswer: -3, -1, 0, 1909","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -15881\/10 - -1590. Find the common denominator of h and (66\/(-132))\/(((-9)\/55)\/(-3)).\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many nanograms are there in 56849.84 milligrams?\nAnswer: 56849840000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 167955180 a multiple of 187?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let f(p) = -p**3 + 6*p**2 - 6*p - 3. Let k be f(6). Let v = -34 - k. Find the third derivative of -10*n**2 - 15*n**3 + 15*n**3 - v*n**2 - 8*n**3 wrt n.\nAnswer: -48","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is -5 + -2012411345?\nAnswer: -2012411354","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 332 - 113. Does 73 divide x?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 3*p + 88032 - 87993 - 3*p + 4*p.\nAnswer: 4*p + 39","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of 1714, 3425, 5134, 6841?\n\"Answer: -u**2 + 1714*u + 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 560210?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth biggest value in -1, 8, 1.9, 0.24, 0.4, 2\/9?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let y be -2 + (-13 + 2)*5. Let h = -47 - y. What is the remainder when h is divided by 3?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -11926, -13841, -15756, -17671?\nAnswer: -19586","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -1396 divided by 698.\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:21 AM and 12:49 PM?\nAnswer: 88","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 12747.5 take away 31.1?\nAnswer: 12716.4","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: -1728824 divided by -65\nAnswer: 1728824\/65","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*y - 4 = -4*y. Suppose -z + 6*i + 13 = y*i, 2*z - i = 35. Is z a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((-3 - 3 + 5)*(-x - 3*x + 2*x) + 4*x - 2*x + 0*x)*(2*x + x + 0*x) + (-10 + 8 + 3 - 63*x)*(-6*x + x + x).\nAnswer: 264*x**2 - 4*x","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Expand 3*y**3 - 2*y**3 - 3*y**3 - 2*y**3 + 0*y**3 + 0*y**3 + (-2 + 2 - 2*y)*(2*y**2 + 2*y - 2*y) + y**3 - 2*y**2 + 2*y**2 + y**3 + 2 - 2.\nAnswer: -6*y**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let d be -1 + (-33)\/(-18) + -1. Let g be -1 - 1*0\/3. Is d bigger than g?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (u*u**(-5))\/u**(-7) assuming u is positive.\nAnswer: u**3","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 8 and 3416?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 54 = -13*w - 37. Sort 0, w, -5, -4 in increasing order.\nAnswer: w, -5, -4, 0","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (-3 + (6 - 2))*52\/13. Solve -5*p + 2*f - 35 = 0, -f + 4*f = a*p + 35 for p.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -2\/5 - 5. Which is the second biggest value? (a) 5 (b) z (c) 2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -0.078 - -0.1. What is p rounded to two dps?\nAnswer: 0.02","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {u: 8, s: 2, p: 5, d: 3, e: 2}. Give prob of picking 1 u and 1 e.\nAnswer: 8\/95","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((258\/20 - 2) + -11)*4?\nAnswer: -2\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -0.8 or 3.021?\nAnswer: -0.8","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 40 - 41.9. Let s = 99.1 - i. Let y = s + -101.094. What is y rounded to 2 decimal places?\nAnswer: -0.09","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r be ((-6)\/(-10))\/((-168)\/105). Let f(u) = u - 1. Let a be f(2). Suppose -a - 3 = -2*x. What is the nearest to 1\/2 in x, 0.2, r?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -10134 - -10138. Let w(v) be the first derivative of 27 + 1\/2*v**y - v**2 - 3*v + 0*v**3. Let q(d) = -5*d**3 + 6*d + 8. Calculate -3*q(h) - 8*w(h).\nAnswer: -h**3 - 2*h","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve -33 = -3*o + 4*n, 714*o - n = 711*o + 24 for o.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7*g + 3*g = -8. Solve -7*p + 5 = -g*p for p.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 3 + 0. Suppose x*o - 21 = -3. Suppose 4 = 5*j - o. Let u(p) = -2*p**3 + 4*p**2 - 2*p. Calculate u(j).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {f: 1, m: 2, h: 5, u: 5, v: 3}. Give prob of sequence fv.\nAnswer: 1\/80","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let v(l) be the third derivative of -17*l**8\/2016 + 109*l**5\/60 - 54*l**2 + 2. Let u(c) be the third derivative of v(c). Let w(a) = a. Give u(w(b)).\nAnswer: -170*b**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Expand (22 - 5 - 11)*(1 + 0 + 2)*((1 + 1 - 4)*(0 - 4 + 3) - 4 + 4 + 2)*(-2*x**2 + x**2 + 4*x**2).\nAnswer: 216*x**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: 2426441 (base 7) to base 9\nAnswer: 521632","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 10614\/13 + -84863\/104. Find the common denominator of p and 61\/56.\nAnswer: 728","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 4579 is divided by 12.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 576100898?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is 1237384006 a multiple of 19?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence qqm when three letters picked without replacement from {q: 9, e: 2, m: 3, b: 3}?\nAnswer: 9\/170","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 54635975.\nAnswer: 5, 2185439","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 106596 and 429345.\nAnswer: 15456420","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is 11\/3 smaller than -3\/737?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (-54)\/(-14) + -4 - (-6)\/21. Put w, 0.1, 16, 3 in descending order.\nAnswer: 16, 3, w, 0.1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -o**4\/3 + 296*o**3\/3 - 7300*o**2 - 1184*o\/3 + 87616\/3 = 0. Calculate o.\nAnswer: -2, 2, 148","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*f + 397 = 97. Calculate the smallest common multiple of f and 3.\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -430.3240252 to the nearest integer.\nAnswer: -430","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let i be 137 + (3 + -6 - -5). Let u = 243 - i. Suppose 8*d - 10*d + u = 0. What are the prime factors of d?\nAnswer: 2, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 213226 is divided by 71072.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Divide 201 by -308.\nAnswer: -201\/308","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Put together 9.013 and -0.2.\nAnswer: 8.813","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let g(y) = 2*y + 2. Let d be g(-4). Let q(r) = -5 + 729*r + 480*r - 1207*r. Let o(v) = 3*v - 6. What is d*q(h) + 5*o(h)?\nAnswer: 3*h","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is -2 (base 14) in base 3?\nAnswer: -2","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Does 37 divide 1946190033?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (162\/891)\/((-20)\/11 + 2).\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: 347 (base 15) to base 14\nAnswer: 3b0","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-765)\/48195*2\/(-2)*7*3*225?\nAnswer: 75","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in 4, 0.4, -4.1?\nAnswer: -4.1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 6 and 4000.\nAnswer: 12000","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of -164, -153, -152, -167, -204, -269?\n\"Answer: -c**3 + c**2 + 15*c - 179","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand (52*c - 186 + 186)*(3*c + c - 3*c) + 31 - 31 - 3*c**2.\nAnswer: 49*c**2","meta":{"dup_signals":{},"source":"polynomials__expand_test"},"subset":"dm_maths"} +{"text":"Question: Let i = -3.7 - 0.3. Let s = 42 + -39. Which is the second smallest value? (a) -1 (b) s (c) i\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {l: 8, u: 7, b: 1, d: 2}. Give prob of picking 4 u.\nAnswer: 7\/612","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 57103016.\nAnswer: 2, 7137877","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let u(x) = -9606*x - 67246. Give u(-7).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -0.2 - -0.2. Let j = 250.5 + -197. Let m = j + -54. What is the closest to -0.13 in m, 3, y?\nAnswer: y","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 7\/2 of a litre in millilitres?\nAnswer: 3500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: 4 + -11 + -1 - 2\nAnswer: -10","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -260*p + 76836 = -248*p. What is the tens digit of p?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 57563070077 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*w + 1500 + 3025 = 3*d, d + w = 1505. What is the tens digit of d?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 30, 7, 1, -3, -5.\nAnswer: -5, -3, 1, 7, 30","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let j(f) be the first derivative of -8*f**5 - 31*f - 36. What is the first derivative of j(p) wrt p?\nAnswer: -160*p**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(f) = -2 - 4 + 3 + 8 - 4. Let u(y) = -y**3 - 3*y**2 - y + 1. Let d(q) = -u(q) + 4*z(q). Calculate d(-3).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 37, 95, 191, 325, 497?\nAnswer: 707","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:43 AM and 12:56 PM?\nAnswer: 253","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((h**(-4)*h*h\/(h*h\/h**2)*h)**14)**33 assuming h is positive.\nAnswer: h**(-462)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is 7146482 a multiple of 2?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let g be 4\/18 - (-8 + 6\/27 + 7). Let v(h) = 71*h**3 - 6*h**2 - 6*h - 6. Let q(j) = j**3 - j**2 - j - 1. Calculate g*v(u) - 6*q(u).\nAnswer: 65*u**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is -1.7 times 50?\nAnswer: -85","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 112\/616 + 224\/(-22).\nAnswer: -10","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 41 in 71, -2\/15, -2?\nAnswer: 71","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let z(y) = y**3 + 4*y**2 + 3*y + 2. Let o be z(-3). Suppose o*m = 5*m - 33. Let h = -9 + m. Let n(q) = 2*q**2 - 4*q + 2. Determine n(h).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -71 = -4*n - 11. Suppose 43 + 77 = 4*v. What is the greatest common factor of v and n?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 785 to the nearest integer?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let w(h) = h**3 - 60*h**2. Let x(t) = 2*t**3 - 61*t**2. Determine -4*w(m) + 3*x(m).\nAnswer: 2*m**3 + 57*m**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in -0.02, 0.2, -1\/4, 4, -1, 1\/101, 2\/21?\nAnswer: -0.02","meta":{"dup_signals":{},"source":"comparison__kth_biggest_test"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 13240 and 260.\nAnswer: 172120","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Does 2171 divide 765203686?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (30\/20)\/((-648)\/(-378)).\nAnswer: 7\/8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let h be -6*(14\/(-4))\/(-7). Let m be (-45)\/(-25) + h\/(-15). Let u be 3\/1 + (-18)\/(-9). Solve -u = -3*r - m*r for r.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: -59 + (3 - 4) - (-621 + 601)\nAnswer: -40","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let r(t) = -t**3 - 401*t**2 - 395*t + 2000. Determine r(-400).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is 34795 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7*h - 2*z = 2*h + 208, z - 1 = 0. What is the lowest common multiple of h and 1 + (-11)\/(-2)*2?\nAnswer: 84","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.3 times 75.7?\nAnswer: -22.71","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.1551148 rounded to one dp?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 410 minutes after 1:55 AM?\nAnswer: 8:45 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 1616294269?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve -84 = -5*b + 4*l, -1314*l = -1309*l + 5 for b.\nAnswer: 16","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -5861395491.190000638 + 5861396090.19. Let k = -126.2 - 472.8. Let v = k + h. What is v rounded to 7 dps?\nAnswer: -0.0000006","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {t: 2, e: 6, l: 1, r: 4, j: 4}. Give prob of sequence lte.\nAnswer: 1\/340","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 6*(-3)\/6 + (64 - -2)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -0.82 - -55.82. Is 0 at least as big as d?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-2)\/80*472\/59.\nAnswer: -1\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -o - 3*o. Suppose o*x - 1 = x. What are the prime factors of 2 - (x + 2) - -3?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 6091522?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 5 + -9. Suppose -18 = 3*b + 192. Let g be 4\/5*b\/k. What is the greatest common divisor of 28 and g?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -16 = 5*g - 26. What is the common denominator of (g\/495)\/(36\/4905) and -1\/21?\nAnswer: 1386","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 2382124 is divided by 140119?\nAnswer: 101","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let w be 4\/(-5)*58353\/(-212) + (-20)\/(-25). Solve 0 = -42*b + 31 + w for b.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -102 + -27. Let m = 134 + z. Let k = 3 + -4. What is the closest to k in 0.2, m, 0.4?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose n - 1483 = -q, -n - 2*q + 695 = -783. Is 48 a factor of n?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_test"},"subset":"dm_maths"} +{"text":"Question: Let y(t) = 3*t. Let r(m) = -10*m**2. Let j(a) = 5*a**2. Let q(u) = -7*j(u) - 3*r(u). Determine q(y(d)).\nAnswer: -45*d**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is (-531)\/118*(-2)\/18?\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is -93244.5001 rounded to the nearest 10?\nAnswer: -93240","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 101 - 113 = -3*q. What is the nearest to q in -5, 0.5, -6?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 2059?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 192773 is divided by 213?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 6*2*sqrt(55)\/sqrt(5).\nAnswer: 12*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of 17555, 35113, 52673, 70235, 87799, 105365?\n\"Answer: k**2 + 17555*k - 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let s(t) = -4*t. Let m(w) = -27063*w + 11. Calculate m(s(l)).\nAnswer: 108252*l + 11","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 265 minutes before 5:23 PM?\nAnswer: 12:58 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let s be 11\/22*3*2. Suppose 12*k - 1674 = s*k. What is the remainder when k is divided by 47?\nAnswer: 45","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(v) = 5*v**3 + 42*v**2 - 82*v - 175. What is r(-7)?\nAnswer: 742","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is -10011210112112 + 201110?\nAnswer: -10011202211002","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 21170?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Work out -6 * 1276.\nAnswer: -7656","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) 6\/13 (b) 22189.9 (c) 0 (d) -2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is 61405 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let z(y) = y - 24. Let f be 24 + (-5 + 4 - -3). Let u be z(f). Suppose 524 = u*c - 4*o, 0 = 4*c - 4*o + 769 - 1825. List the prime factors of c.\nAnswer: 2, 7, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-2 + 2071*f**2 - 2 - 2275*f**2)*(9*f - 9*f + f**2) to i*f**3 + c*f**4 + t + p*f + v*f**2 and give c.\nAnswer: -204","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is -169 - -2584?\nAnswer: 2416","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:28 AM and 9:23 PM?\nAnswer: 715","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (z*z**0*z\/z**(-5)*z**(-7)*z\/(z**(4\/7)*z))\/((((z\/(z**(-1)\/z)*z)\/z)\/z)\/z**6)**9 assuming z is positive.\nAnswer: z**(248\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let r(n) = -n. Let g be r(-3). Factor -3*k**g + 5*k**3 - 2 - 6*k + 6*k**4 + 2*k**3 - 4*k**2 + 2*k**5.\nAnswer: 2*(k - 1)*(k + 1)**4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many micrometers are there in 53.99977m?\nAnswer: 53999770","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Convert -403334100 (base 5) to base 14.\nAnswer: -302b26","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in 0.03, 2\/11, -2, 2?\nAnswer: 2\/11","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 25 + -15. Solve -x = -h - 4*h for h.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {h: 2, m: 6}. What is prob of sequence mhm?\nAnswer: 5\/28","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let o(k) = -9*k**2 + 1. Let v be (-4)\/2*9\/(-18). Calculate o(v).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 21110 (base 3) in base 10?\nAnswer: 201","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let z(j) = j + 12. Let s = -1 - -7. Calculate the least common multiple of s and z(-10).\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 18339701927 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0.0104208*4.\nAnswer: 0.0416832","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 296610 divided by -19774.\nAnswer: -15","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let v be 4 - (7 + -8)\/((-1)\/(-4)). Find the third derivative of x**6 - 12*x**2 - 11*x**6 - v*x**2 wrt x.\nAnswer: -1200*x**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 3947000 and 41000?\nAnswer: 161827000","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from nwxdjjnv. What is prob of sequence xjj?\nAnswer: 1\/168","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 73 - 57. Let u(k) = k**3 - 16*k**2 + 2. Let a be u(l). Solve 0 = -r - 0*r + a for r.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -527 - -954. Is p composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -0.709 - -57.049. Let i = -44.4 + -11.6. Let b = o + i. What is b rounded to the nearest integer?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 175 and 705915?\nAnswer: 35","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1102.8*134.\nAnswer: 147775.2","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let g(n) = -5*n - 25. Let y(z) = z**2 + z - 7. Let i be y(0). Let o be g(i). What is the derivative of 1024*f - 1024*f + o + 5*f**2 wrt f?\nAnswer: 10*f","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (10\/(-2))\/(3\/(-9)*3).\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -489 + 1063. Let r be w\/70 + (-2)\/10. Suppose -2*s + 7*t = 4*t - 16, -s - t = 2. What is the greatest common divisor of r and s?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (5 + -6*((0 + sqrt(7) + 5)**2 + sqrt(28)*3 + -2*sqrt(63)*4) + -5)*-4.\nAnswer: -192*sqrt(7) + 768","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Round 2631.4906 to the nearest ten.\nAnswer: 2630","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 168 is divided by 31?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let s(p) = -3*p**3 + 2*p + 358. What is the remainder when s(0) is divided by 72?\nAnswer: 70","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a be ((-49)\/(-28))\/(6\/(-48)). Is 3 a factor of a\/63 - (-2849)\/63?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 2402273203 to the power of 1\/9, to the nearest integer?\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-1*-6*(sqrt(684) - -2*sqrt(684)))**2.\nAnswer: 221616","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 54189.33041 + -54190. What is x rounded to two decimal places?\nAnswer: -0.67","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (-238)\/15 - 2\/15. Let j(d) be the first derivative of -d**2\/2 - 13*d - 303. Determine j(x).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1025\/(-820)*48\/50.\nAnswer: -6\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let j(k) = -8*k**2 - 568*k + 12813. Give j(18).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-2)\/8)\/((-10)\/(-384)) - (-22 + 14).\nAnswer: -8\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let m be 11\/(330\/12) - 299079\/(-15). Suppose m - 1699 = 24*o. What is the hundreds digit of o?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {q: 1, f: 2, o: 2, n: 2, b: 1}. What is prob of picking 1 o and 2 n?\nAnswer: 1\/28","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (g\/g**(-4\/23))\/g*g*g**(7\/5) assuming g is positive.\nAnswer: g**(296\/115)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: (4\/2)\/(106\/159)\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (s**(-31)*s\/s**(4\/9)*s*s)\/(s**17)**(-4\/9) assuming s is positive.\nAnswer: s**(-188\/9)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 90441?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is 28007 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 2002849?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(245)*2 + 3 + -1 + sqrt(720) + -4)**2.\nAnswer: -104*sqrt(5) + 3384","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is (-84530)\/6420 + 10\/(-12)?\nAnswer: -14","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 1*(-3*(sqrt(2448)*4 + 5) + -5)**2*-3*-1.\nAnswer: 17280*sqrt(17) + 1058736","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let k(f) = f**2 + 10*f + 14. Determine k(-8).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (2\/4 + 0)\/(4\/104). Suppose 3*c - 3*m = 408, y*m - 11*m = -5*c + 652. Calculate the lowest common multiple of c and 10.\nAnswer: 660","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(i) = i**2 + 8*i - 7. Let z be x(-9). Suppose -2*t - z = l - 11, t - 2 = -3*l. Solve -t*p - 4 = k - 5*k, -1 = -k + 5*p for k.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 23, 1, 4, -63, -12, 0 in descending order.\nAnswer: 23, 4, 1, 0, -12, -63","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Does 167 divide 14911271?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence bbmq when four letters picked without replacement from {y: 2, m: 5, k: 1, v: 2, b: 4, q: 1}?\nAnswer: 1\/546","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -5 + 10 - 2 + 1 - 2766*h.\nAnswer: -2766*h + 4","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is 24\/11 <= -6447320?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let d(q) = -3*q + 15. Calculate the remainder when 152 is divided by d(-12).\nAnswer: 50","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -313536.9864137 - -313537. Round q to four decimal places.\nAnswer: 0.0136","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 2543 > 134823\/53?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 291715774?\nAnswer: 2, 7, 947, 22003","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 60 = -25*m + 30*m. Suppose -14 = -j - 4*q, 0 = -q - 4 + 6. Calculate the highest common divisor of j and m.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of 100730421, 201460841, 302191251, 402921645, 503652017, 604382361, 705112671, 805842941?\n\"Answer: -u**3 + u**2 + 100730424*u - 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let v(q) = 5446*q**2. Let n(b) = -38313*b**2. Determine v(n(a)).\nAnswer: 7994106987174*a**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 487 - 475. Solve 33 = 9*p - o for p.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 2362, 3, 5, 2, 4, -79 in descending order.\nAnswer: 2362, 5, 4, 3, 2, -79","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let a(d) = 3*d**3 + 2*d**2 - 6*d + 6. What is the units digit of a(2)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*b = 3*b - 4*z - 10, -2*z - 6 = b. Solve -v = b - 3 for v.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is 332 + -18a?\nAnswer: 153","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -21384 + 21384. Let k = -367 - -6241\/17. Which is the third biggest value? (a) -0.1 (b) u (c) k (d) 3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*o = 6*o - 6. Let d = -0.5 - -0.2. Let z = 76.3 - 76. What is the closest to o in z, 1, d?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 8187207?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let r(v) = v - 1. Let f(b) = -b**2 + 10*b - 10. Let d = 12 + -6. Let j(l) = d*r(l) - f(l). Suppose j(n) = 0. What is n?\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*f + 4*l + 18 = 0, 4*f + 419 = -4*l + 443. Solve 4*b + 27 = f*b + 5*h, 2*h = 2*b + 8 for b.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(c) = c**3 + 16*c**2 + 522*c + 7442. Calculate g(-15).\nAnswer: -163","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -2956, -5912, -8868, -11824, -14780?\nAnswer: -17736","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let s be 6\/(-4)*(0 - 2). Suppose -s*i + 0*i = 0. Suppose -p + 5 = -i*p. List the prime factors of p.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -0.1 and -450.9.\nAnswer: 45.09","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 3150880382.\nAnswer: 2, 13, 131, 925097","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {p: 3, t: 4}. Give prob of picking 3 p.\nAnswer: 1\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -2 + 6 + (4 - (-76)\/(-40)) and 63\/64.\nAnswer: 320","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3 - 3 + l)*(-213 - 87*l**2 + 74*l**2 + 10*l**2).\nAnswer: -3*l**3 - 213*l","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Convert 16.36775 decades to millennia.\nAnswer: 0.1636775","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let m(q) = 15*q - 1065. Let l be m(79). Solve -4 = -l*v + 121*v for v.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -47*b - 579*b - 24414 = 0 for b.\nAnswer: -39","meta":{"dup_signals":{},"source":"algebra__linear_1d_test"},"subset":"dm_maths"} +{"text":"Question: Let g = 217426 - 57480. Let t(b) = -g - 11*b + 159946. Let a(u) = 17*u**2. Give t(a(v)).\nAnswer: -187*v**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let c(s) = -s**2. Let t = -182 + 182. Let m(x) be the second derivative of t - 1\/3*x**3 + 4*x + 0*x**2. What is m(c(p))?\nAnswer: 2*p**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*p + 828*n - 826*n + 120 = 0, 49*p + 5*n = -1176 for p.\nAnswer: -24","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 21438.99948684 + -21439. What is z rounded to 6 decimal places?\nAnswer: -0.000513","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -123 + -329. Let a = q - -454. Solve -2*u + 0 = a for u.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: -416037 (base 10) to base 9\nAnswer: -703623","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let i(b) = 8*b**2 + 61*b**3 - 26*b - 62*b**3 + 54 + 17*b**2. Let x be i(24). Suppose -x*z = -9*z + 408. List the prime factors of z.\nAnswer: 2, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(j) = -7*j**3 - j - 2. Let b be 6*1*(-6 + 65\/10). Suppose -6 = -b*r - 9. Calculate the smallest common multiple of 72 and t(r).\nAnswer: 72","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (-1 + 2*s + 1)*(-6*s**2 - s**2 + 5*s**2) + 5117*s**3 + 5761*s**3 - 3566*s**3 in the form x*s**2 + w*s**3 + d*s + t and give w.\nAnswer: 7308","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 39 minutes before 11:24 AM?\nAnswer: 10:45 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Put -31, 2, -0.3, 1.3, -5 in ascending order.\nAnswer: -31, -5, -0.3, 1.3, 2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 55482264?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve -11*p - 1 + 45 = 0 for p.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let d(k) = -484*k**3 - 4*k**2 - 5*k + 23. Is d(-6) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -24624*l**4*q - 2*l**3*q**3 - 100*l*q**2 + l*q + q**3 - 3*q**2 wrt l?\nAnswer: -295488*l**2*q - 12*l*q**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 1546289\/671 + 6\/11?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(f) = -f**3 + 10*f**2 - 7*f + 4. Let c be t(9). Let o = -8 + c. What is the least common multiple of o and ((-9)\/6)\/((-6)\/88)?\nAnswer: 154","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {n: 2, u: 1}. What is prob of sequence nu?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2 = 2*p - p. Suppose -5*a + p*a = -99. Is a a multiple of 11?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(u) = 11*u + 5. What is i(0)?\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 18 = 2*d + 6. Let l = -26 - -16. Let z(i) = -i**2 - 12*i - 11. What is the smallest common multiple of z(l) and d?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 302 is divided by 19.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let c be 2*(180\/(-8))\/(-3). Suppose 3*g - c = 0, 5*b - 2*g - 269 = 161. What is the units digit of b?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*g = -11*g - 6*g for g.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) 6881 (b) -0.06 (c) 7 (d) 3\/5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is -4 - -50415545?\nAnswer: 50415541","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 2.1493 - 2.018. Let j = -0.126 + h. What is j rounded to 3 dps?\nAnswer: 0.005","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 9 - 7. Solve 0 = -g - 0*g + v for g.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(k) be the second derivative of -361*k**6\/30 + 181*k**3\/6 - 432*k. Find the second derivative of u(i) wrt i.\nAnswer: -4332*i**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:12 AM and 11:49 AM?\nAnswer: 517","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -249*l + 255*l - 36 = 0. Suppose -4*j - 4*z + l = 2, 0 = 3*z. Let v(m) be the second derivative of -m**4\/12 - m**3\/6 + m**2\/2 - m. Determine v(j).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (n**(-9)\/(n*n\/(n\/(n*n**13*n))*n))\/((n**0*n)\/n**1) assuming n is positive.\nAnswer: n**(-26)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-3 - 9 - (13 - 23)) + (4 - -1)?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*k**3 + 112378*k**2 - 1607359910*k + 804229139550 = 0. Calculate k.\nAnswer: 519, 27835","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let -20*c**3 - 7052*c**2 + 2824*c = 0. What is c?\nAnswer: -353, 0, 2\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*r - 180 = 28*r for r.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence vppr when four letters picked without replacement from {p: 3, t: 1, r: 5, f: 2, v: 6}.\nAnswer: 3\/952","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 898 = -3*a + 157. Let r = -142 - a. Is r a multiple of 35?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(c) = -c**2 + 5*c - 1. Suppose -2*w - 2 = -5*s, -2*s + 2 = -2*w + 6. Let j be l(s). Suppose -4*y + 208 = -3*x, -j*y + 4*x + 103 = -157. Does 13 divide y?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out 3976 + -3.\nAnswer: 3973","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let n(u) be the third derivative of 13*u**2 + 0*u + 0 + 0*u**6 + 1\/3*u**3 + 0*u**5 - 13\/210*u**7 + 0*u**4. Find the first derivative of n(g) wrt g.\nAnswer: -52*g**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 132113?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*m - 10 - 2 = 0. Suppose -m*d - 206 = -638. Suppose 48 - d = -4*c. What is the greatest common divisor of c and 84?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from dawwdmwwawwwaavd. Give prob of picking 1 a and 3 w.\nAnswer: 1\/13","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let z(m) = -m**2 + 15*m - 2. Let x be (-4)\/1*6\/8 - -10. Let d be z(x). Let k = d + -51. Solve -3*b + 2*r - 4 = -0*b, k*r - 15 = 0 for b.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(j) be the second derivative of j**5\/20 - j**4\/3 + 3*j**2\/2 - j. What is t(4)?\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*d - 153 = -3*z, -4*z + 127*d = 124*d - 154. What is the greatest common divisor of z and 7697?\nAnswer: 43","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -1 or -5972\/6893?\nAnswer: -5972\/6893","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: -86 - 28407\nAnswer: -28493","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is 37586147 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -97\/64 and -41\/456?\nAnswer: 3648","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in -59, -8, -0.2?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 0 - (-13 + 4 + 9).\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is 3 - 12124?\nAnswer: -12121","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 5 - 3. Let o be ((-3)\/(-2))\/(2\/8). What is the third derivative of x**2 - i*x**6 + x**o - x**6 wrt x?\nAnswer: -240*x**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 61468 or 1905485\/31?\nAnswer: 61468","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -264 - -303. Let g = k + -43. Which is the second smallest value? (a) 4\/3 (b) g (c) 3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 29*h**5 - 16*h**2 - 16*h**4 - 25*h**5 + 24*h**3 - 3*h + 7*h = 0. What is h?\nAnswer: 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*s - 6*s + 31*a = 159, 2*a - 196 = 7*s + 239 for s.\nAnswer: -63","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is -3 plus -25?\nAnswer: -28","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((1*sqrt(15)*-3 + (sqrt(225)\/sqrt(5))\/sqrt(3))\/(-5*(sqrt(30)*-1)\/sqrt(10)*-3))**2.\nAnswer: 4\/45","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4 + 0 = -4*p. Suppose 5*o - 4*y = 16, o + 16 = -3*o - 4*y. Solve 0 = -4*x + 2*i - 6, o*i = i + p for x.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is -10 + -8?\nAnswer: -18","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 25 minutes after 4:57 PM?\nAnswer: 5:22 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8 = -4*h - 0, -u = -3*h + 12. Let n be 2\/(-5) + 24\/10. Which is smaller: n or u?\nAnswer: u","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x be 4\/(-1) - (-5 - -7). Let k = x + 13. Find the second derivative of 4*r**3 - 4*r + 7*r + k*r**3 + 6*r wrt r.\nAnswer: 66*r","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 201*l + j + 3 = 197*l, -2*l = -j + 3 for l.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -42202 - -91012. What are the prime factors of s?\nAnswer: 2, 3, 5, 1627","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {v: 10, z: 1, m: 2, h: 4}. What is prob of sequence vzv?\nAnswer: 3\/136","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*y - 60 = -7*m, -2*y + 40 = -635*m + 637*m for m.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 149898?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1110452*l - 1110673*l - 7956 = 0 for l.\nAnswer: -36","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -11*c**2 - 40 + 16 + 24.\nAnswer: -11*c**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Convert 64552 (base 11) to base 4.\nAnswer: 112322020","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -9921 or 0.1?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Does 44 divide 901?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -o + 120 = f, 272 = 2*o - 281*f + 287*f. Suppose 0 = -5*i - 0*i + 160. What is the highest common factor of i and o?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Add together 110 and 52092919.\nAnswer: 52093029","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -1225*d + 17790 = -1206*d - 211882. What is the tens digit of d?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 87\/4 of a decade in months?\nAnswer: 2610","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2481823?\nAnswer: 2481823","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let t(n) = -n**2 - 6*n + 9. Suppose 4*y = -5*p - 33, 3*p - 5 = y - 1. Let s be t(y). Suppose -s = -3*i + 67. What are the prime factors of i?\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 47664131 to the power of 1\/2, to the nearest integer?\nAnswer: 6904","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Expand (43*a - 20*a - 41*a)*(-37 + 56 - 33).\nAnswer: 252*a","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in 50254\/135, 0.2, 2?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 31290171 or 31290184?\nAnswer: 31290171","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 4076 and 910136.\nAnswer: 927428584","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let j(a) be the second derivative of a**3 + 19*a**2 + 36*a. Let b be j(-6). What is the third derivative of -12*f**2 - 6*f**4 - 12*f**2 + 14*f**b wrt f?\nAnswer: -144*f","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*s + s = 5*g - 8, -4*s = 3*g - 15. What is the greatest common divisor of g and 83?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is 3 + -20712?\nAnswer: -2070d","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is -102110122 - -2010012220?\nAnswer: 1200202021","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -1\/7 in -6, 2, -0.3, -1.8?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 2164100704?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((n*n**22*n*n)\/n**(-12\/11))\/(n**(3\/26)*n)**(-8) assuming n is positive.\nAnswer: n**(5007\/143)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: ((-24)\/48)\/(39\/(-6))\nAnswer: 1\/13","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 25746 and 378.\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is 101011 - -100010101010100011001?\nAnswer: 100010101010101000100","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 59? (a) -5 (b) 1 (c) 1063 (d) -3\/5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -233337 divided by 7527.\nAnswer: -31","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: How many months are there in 0.035415 millennia?\nAnswer: 424.98","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let i(l) = -7*l**2 - 9. Let w(t) = -4*t**2 - 5. What is 3*i(b) - 5*w(b)?\nAnswer: -b**2 - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 5640 is divided by 1880.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose v - 4*f - 10 = 0, -f - 8 = -2*v + f. Suppose 7*g + 2*m = 6*g + 3, -v*m + 18 = 4*g. Solve l = -2*o + 13, l + 2 = g for o.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(19)*4 + -4 + -4 + sqrt(1900) + ((-4 + sqrt(475))**2 - 2*sqrt(19)*4))*3.\nAnswer: -102*sqrt(19) + 1449","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is 87695581 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 6*d**3 + 13*d**3 + d**3.\nAnswer: 20*d**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from dtdddtdddddd. Give prob of picking 2 t.\nAnswer: 1\/66","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -400 + 364.4. Let u = 19 - -12. Let l = u + j. What is l rounded to the nearest integer?\nAnswer: -5","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(t) = t**2 - 23*t - 57. Let p be f(18). Let v = 658 + p. What is the units digit of v?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-3890*s + 3890*s + 406*s**2)*(-5*s + s + 2*s) + (-s + 5*s - 2*s)*(s**2 + 2*s**2 - 2*s**2) to i*s**2 + k*s**3 + d*s + h and give k.\nAnswer: -810","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 12133229 to the nearest integer?\nAnswer: 230","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let l(d) = -3*d**2 + 74*d - 289. Give l(22).\nAnswer: -113","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-1)\/5)\/(-16 - 34410\/(-2150))?\nAnswer: -43","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is fourty-nine quarters of a year in months?\nAnswer: 147","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let j(o) = o + 1. Let m be j(2). Suppose m*y - 306 + 81 = 0. Find the common denominator of -109\/20 and (y\/(-10))\/((-24)\/19).\nAnswer: 80","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 3 + -2 + 30\/2 and (-6)\/(-6 - (-3 - 1)).\nAnswer: 48","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 2 in -2\/7, 27, 8, -1\/2?\nAnswer: -2\/7","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of (574216\/(-10) + 34\/(-85))*(-2)\/4?\nAnswer: 28711","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (9 - 9 - v)*(5 - 3 - 1)*(2 - 2 - 1) + (0*v - 4*v + v)*(0 - 4 + 3)*(0 + 1 - 4).\nAnswer: -8*v","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -51.4 + 51. Which is the smallest value? (a) 0.3 (b) p (c) 3\/7\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1110122 is divided by 277365.\nAnswer: 662","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 6199 to the nearest integer?\nAnswer: 79","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: 29 divided by -2\nAnswer: -29\/2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 114.122 rounded to zero dps?\nAnswer: 114","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let u(i) = -4*i - 53. Suppose 2*n + z + 18 = 4*z, 0 = -4*n + 5*z - 38. Let o be u(n). Let r(y) = -y**2 - 3*y - 2. Calculate r(o).\nAnswer: -12","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(x) = -x**3 + 6*x**2 - 4. Let l be z(6). Let m be (-28)\/(-8) + (-2)\/l. Solve 0*r = -3*r - 2*g + 5, -2*r = 5*g + m for r.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-7)\/(269880\/3240 + -82)?\nAnswer: -27\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -7495, -7052, -6607, -6154, -5687, -5200?\nAnswer: -4687","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Convert -24 (base 6) to base 3.\nAnswer: -121","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of (1852\/(-12))\/(2\/(-6))?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -42.6 - -42.9. Let o = 0.115 + -0.165. Put -0.5, 2, o, u in descending order.\nAnswer: 2, u, o, -0.5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is 2 - 27522774?\nAnswer: -27522772","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence yyy when three letters picked without replacement from ooyyyyyyyy?\nAnswer: 7\/15","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: -2725 divided by -5\nAnswer: 545","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let p(j) = -5*j. Let m(f) be the first derivative of f**5\/40 + 5*f**3 + f**2\/2 - 19. Let b(c) be the third derivative of m(c). What is b(p(r))?\nAnswer: -15*r","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let o(d) = 2*d**3 - 16*d**2 - 16*d - 16. Let g be o(-10). Calculate the common denominator of -115\/36 and 30048\/g - (1 - (-14)\/(-18)).\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 153177951 a multiple of 56?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -87 - -101. Let n = -54 - f. Let s = 69 + n. Sort 0, s, 3, 2\/11 in increasing order.\nAnswer: 0, 2\/11, s, 3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(q) = 73 + 69 - q**2 - 142. Let i(t) = 6*t + 112. What is i(g(d))?\nAnswer: -6*d**2 + 112","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is b44fb - 4dc?\nAnswer: b401f","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -648*i**3 - 738*i**3 - 733*i**3 - 676*i**3 - 859*i**3 + 3395*i**3.\nAnswer: -259*i**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-10608)\/(-4862))\/(1\/(2\/(12\/33))).\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -1929 - -4039. Does 87 divide h?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 2.926465 millilitres to litres.\nAnswer: 0.002926465","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 2165 is divided by 29?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let o(n) = -5*n**2 + 3*n - 55. Let a(q) = -2*q**2 + q + 1. Calculate 3*a(d) - o(d).\nAnswer: -d**2 + 58","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let k(g) = -15327*g + 494. Let f(p) = -187*p + 6. What is -494*f(x) + 6*k(x)?\nAnswer: 416*x","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {a: 1, e: 3, q: 1, k: 2, f: 3, l: 2}. What is prob of picking 1 e, 1 q, and 1 k?\nAnswer: 3\/110","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Are -28901 and -3\/25 nonequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(34) + (sqrt(68) + (sqrt(68) - (sqrt(68) + sqrt(68)*2) - sqrt(68)))\/sqrt(2) + sqrt(34))\/sqrt(2) + 1)**2.\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Factor 69*c - 3*c**4 - c**3 - 75*c + 7*c**3 + 3*c**2.\nAnswer: -3*c*(c - 2)*(c - 1)*(c + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence dw when two letters picked without replacement from rrbwpbrrrdb?\nAnswer: 1\/110","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let c(j) = -j**2 + 16*j - 62. Give c(8).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is 98468478 a multiple of 2922?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let j(h) = 328*h**3 - 3*h**2 + 3*h + 11. Let y(w) = 328*w**3 - 4*w**2 + 2*w + 12. Let f(t) = -3*j(t) + 2*y(t). Is f(-2) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -6005657 divided by 15.\nAnswer: -6005657\/15","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -36*f - 14 = -94 - 28. Let g = 10 - 6. Suppose 0 = 5*m - 2*r - g, m + 5*r = f*m + 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: Sort -3\/2, -0.4, 6, -113 in descending order.\nAnswer: 6, -0.4, -3\/2, -113","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1*0.4852.\nAnswer: 0.4852","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let f(a) = a**2 + 3*a - 15. Is f(7) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2189170.\nAnswer: 2, 5, 179, 1223","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let j(c) = 6*c**2 + 4*c - 5. Let z(a) = -7*a**2 - 4*a + 5. Let u(i) = 6*j(i) + 5*z(i). Let k be 4\/(-2) + -19 + 17. Determine u(k).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of 151, 146, 139, 130, 119, 106, 91?\n\"Answer: -f**2 - 2*f + 154","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of -1157, -2314, -3471, -4628, -5785, -6942?\n\"Answer: -1157*z","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let m(x) = 3*x**2 - x - 1. Let h(y) = y**3 - 8*y**2 + 12*y - 1. Let l be h(6). Let o be m(l). Let u(c) = c**3 - 3*c**2 - 2*c - 2. Determine u(o).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is -63 - 1461?\nAnswer: -1554","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Expand (65*h**2 - 193*h**2 + 76*h**2)*(0*h**2 + 2*h**3 + 0*h**2).\nAnswer: -104*h**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 2235593?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 253 minutes after 7:32 PM?\nAnswer: 11:45 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 6545 + 2795. Is 20 a factor of m?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*u + j - 3 = -5*u, -5*j = u + 17. Suppose k = 5*k + u. Let f(t) = -7*t**3 - 5*t**2 + 1. List the prime factors of f(k).\nAnswer: 37","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -21, -143, -261, -375, -485, -591, -693?\nAnswer: -791","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5226*l - 5396*l = -11560 for l.\nAnswer: 68","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 48 - 46. Solve 2 = -2*n - x for n.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.925 rounded to 1 decimal place?\nAnswer: -0.9","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -4862427 - -48664487\/10. Let n = 4028 - m. Calculate the common denominator of n and 1474\/72 + ((-30)\/27)\/5.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Add -68 and -0.044722.\nAnswer: -68.044722","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 78 and 3822.\nAnswer: 78","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -17\/451 and 43\/164?\nAnswer: 1804","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the ninth root of 1013 to the nearest integer?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 2383257 and -10.6?\nAnswer: -25262524.2","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 227*m**4 - 155143*m - 71790409.\nAnswer: 908*m**3 - 155143","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 3132\/7 + -446. Suppose 232 = -59*d + 232. Is q smaller than d?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 v and 2 b when three letters picked without replacement from {b: 4, y: 2, g: 2, v: 4}.\nAnswer: 6\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let m(z) = 2*z**2 + z - 1. Let b be m(1). Suppose 3*u - 528 = b*u. Suppose -97 = 4*q + 5*y - 585, 4*q = 5*y + u. Is q a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c be 4\/(-6) - 50\/15. Let v be (c - -11)*(-4)\/(-7). Let a(k) = k**3 - 2*k**2 + 1. Let z be a(1). Solve -2*i + z*i - 4*r = 2, 0 = -4*r - v for i.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -1207 divided by -1.\nAnswer: 1207","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 0.584 - -19.416. What is the third biggest value in i, -2\/7, -3, -5?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -38*b = -b - 59457 - 226072. Is b prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -5*x*z**2 + 243*x*z - 20*z**2 + 1 wrt z?\nAnswer: -10*x - 40","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: 3003\/(-66)*2\/(-7)\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of -354, -392, -502, -720, -1082, -1624, -2382?\n\"Answer: -6*i**3 + 4*i - 352","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let o be 0 + 6 + -4 - -2. Let p(l) = 0*l**2 - 4 + o*l**2 - 11*l + 6*l + 9*l. What is the lowest common multiple of p(2) and 2?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (27\/(-15))\/((-18)\/30). Suppose 4*u - 2 = m*d, 3*d - 4*u = -3*u + 13. Find j, given that 3\/2*j**3 - d + 5\/2*j**2 - 8*j = 0.\nAnswer: -3, -2\/3, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -8.10655 rounded to the nearest ten?\nAnswer: -10","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 23826 or 23\/3?\nAnswer: 23\/3","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let l(o) = -8*o**2. Let r(p) be the third derivative of p**8\/10080 + p**5\/20 - 15*p**2. Let z(w) be the third derivative of r(w). What is l(z(b))?\nAnswer: -32*b**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3836*z = -i - 3832*z + 1, 19*i - 3*z = 19 for i.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 5 - -7. Let k = -5 + 0. Let p = n - k. Calculate the remainder when p is divided by 9.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2 - 2 + 0)*(5 + 2 + 3 + j).\nAnswer: -4*j - 40","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 520 minutes after 4:32 PM?\nAnswer: 1:12 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is -2\/495445 equal to 176?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 3329 is divided by 46.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let a(o) = -28*o - 4. Let u be a(-4). Suppose -6*d + u = 12. Suppose -2*i = k - d, -3*i - 32 = -2*k - i. Is k a multiple of 4?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 71 - 93. Let h = 31 - q. Let b = h + -52.9999592. What is b rounded to 6 decimal places?\nAnswer: 0.000041","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from gnmrrsgz. Give prob of picking 1 n, 1 z, and 2 g.\nAnswer: 1\/70","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let f(i) = -i**2. Let p = -159381 + 159382. Suppose 0 = -4*j + 9 - 1. Let a(z) = z - 3*z**j - z. Determine p*f(l) - a(l).\nAnswer: 2*l**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -2, -153, -554, -1331, -2610, -4517?\nAnswer: -7178","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 439*s - 479*s - 104 - 6 with respect to s.\nAnswer: -40","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of 9930, 9933, 9922, 9891, 9834?\n\"Answer: -u**3 - u**2 + 13*u + 9919","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 3 + -9. Let y(a) = 4*a. Let s(f) = 11*f. Determine h*s(q) + 17*y(q).\nAnswer: 2*q","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let w(q) = -2*q**2 - 66*q - 61. Determine w(-32).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 5 - 451.\nAnswer: -446","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: How many nanograms are there in twenty-seven fifths of a microgram?\nAnswer: 5400","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -45515781*b**2*p + 251810*b - 9*p wrt b?\nAnswer: -91031562*p","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let s(r) = 3*r**3 - 2*r + 2. Give s(1).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -3*r + 3*v - 6 - 15, 20 = 5*v for r.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let y be 0*(-4 - -3)\/(-2). Suppose -n + 24 + 13 = y. Let p = -0.1601 + -1.8399. Which is smaller: p or n?\nAnswer: p","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -20*i - 21 = 3*r - 23*i, r - 9 = -i for r.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 173 = 2*q + 5*i, 3*q - 7*i = -3*i + 225. Is q prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 64 and 2912?\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -31\/30 and -21\/314?\nAnswer: 4710","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 150*w**2 - 32*w**4 - 304*w**2 - 2*w + 2 + 145*w**4 + 154*w**2 to the form d + o*w**2 + r*w**4 + f*w**3 + p*w and give r.\nAnswer: 113","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of -39, -77, -115, -153, -191?\n\"Answer: -38*j - 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let a(z) = -z + 1. Let k be a(-7). Suppose 4*i - k = -0*i. Find the second derivative of -2*w**4 + i*w**4 + 6*w + 0*w**5 - 3*w**5 wrt w.\nAnswer: -60*w**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 82940, -2, 5 in descending order.\nAnswer: 82940, 5, -2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 4521131?\nAnswer: 163, 27737","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 251 minutes after 11:58 PM?\nAnswer: 4:09 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (q**(-1\/3)*q*q*q\/((q*q*q\/(q**(-6\/5)*q))\/q*q*q)*q*q)\/((q**3*q)\/(q\/q**8)) assuming q is positive.\nAnswer: q**(-158\/15)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 29030466 to the nearest integer?\nAnswer: 307","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*i + 0*i - 3 = -u, 0 = 3*u + 2*i + 2. Suppose -4*f + u*f = -248. What is the remainder when f is divided by 16?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -68 + 68 - 328*h + 740*h - 355*h.\nAnswer: 57*h","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 0.1 + 0.1. Let j = -87675\/92 - -953. Let i = j + -283\/644. What is the second smallest value in b, i, 1?\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(150)\/sqrt(5))\/sqrt(10) - (sqrt(3) + (sqrt(3)*2 - sqrt(3))**2 + -3).\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 64.5 - 64. Sort -0.05, 0.2, h, 4 in descending order.\nAnswer: 4, h, 0.2, -0.05","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 21 - 81 = -3*m. Suppose d + 3*d = 4*j - m, -3*j = -d - 7. Suppose 0 = 5*b - o - 558, -b + 4*o + j = -122. What is the tens digit of b?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 77 - 75. Suppose 3*i - g*i = x + 28, 28 = i + 5*x. Calculate the greatest common factor of i and 70.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(s) = -3*s**2 - 3*s + 7*s**2 + 2*s**2 - s**2 - 1 - s**3. Let i(f) = 2*f - 7. Let j be i(5). Calculate the smallest common multiple of 8 and d(j).\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from immiizmiim. What is prob of picking 3 i and 1 z?\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -19 = -6*o + 35. Suppose -49 + o = -8*l. Let r be ((-3)\/5)\/((-1)\/5). Solve r*d - l*x - 8 = -0*x, 4*d = -4*x - 32 for d.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 1406 divide 49187504?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Divide -3 by 105138.\nAnswer: -1\/35046","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve 20*w - 13 = 7 for w.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -956*-69.\nAnswer: 65964","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -69291 divided by -1325.\nAnswer: 69291\/1325","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: -87344.80963+-3\nAnswer: -87347.80963","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (o**16\/(o\/o**(-3\/19)*o))\/(o**12*o**(-17)) assuming o is positive.\nAnswer: o**(358\/19)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is 33103132 - 2041?\nAnswer: 33101041","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let o(f) = -2946*f - 1902. Let n(b) = 4418*b + 2857. Let g(l) = -5*n(l) - 7*o(l). Differentiate g(p) wrt p.\nAnswer: -1468","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*y + 81 = 2*p - 6*p, -3*p - 2*y = 52. Let v be ((-9)\/4)\/((-21)\/p). Which is the third smallest value? (a) v (b) 5 (c) 3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(w) = w**3 - 7*w**2 + 8*w - 20. Let u be y(7). What is the greatest common divisor of u and 1116?\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(p) = -2641*p + 23648. What is b(9)?\nAnswer: -121","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of 790091, 1580179, 2370265, 3160349?\n\"Answer: -t**2 + 790091*t + 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6484*z - 9017265 = 6369*z. List the prime factors of z.\nAnswer: 3, 59, 443","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 568 and 20.\nAnswer: 2840","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -1411, -5649, -12713, -22603, -35319?\nAnswer: -50861","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 57\/44114 and 101\/182758.\nAnswer: 1279306","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 399090373 and 62?\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) -2\/375 (b) -3\/2 (c) -9\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 381, 744, 1081, 1380, 1629?\nAnswer: 1816","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let c(b) = b**3 - 74*b**2 - 58*b - 456. List the prime factors of c(75).\nAnswer: 3, 7, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many months are there in fourty-seven quarters of a year?\nAnswer: 141","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is -20a9 - 4?\nAnswer: -2102","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Put -3, 1\/72207, 5, -27.1 in ascending order.\nAnswer: -27.1, -3, 1\/72207, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: -43934.6 - 4820.8\nAnswer: -48755.4","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -39 + 35. Sort l, 1, 4.\nAnswer: l, 1, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 907135 is divided by 293?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 390097554?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let t(o) = o + 10. Suppose 2 = p - 2*j - 0, -2*j + 16 = -4*p. Let v be t(p). Solve -3*d = -5*m + 16 + 14, -4*m - v*d - 8 = 0 for m.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(b) = -155*b + 16. Let n be f(-2). Suppose -n - 206 = -4*o. Is 19 a factor of o?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Are 0 and 3184267\/24 equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -5*(sqrt(72)*-1 - sqrt(2))*6*6 + (1*sqrt(4)*-1)\/(-1*sqrt(6)\/sqrt(3) - sqrt(2)).\nAnswer: 2521*sqrt(2)\/2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is 75 a factor of 566371280?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: 8 divided by 184\nAnswer: 1\/23","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 162 = 7*j + 2*j. Let i = 21 - j. Suppose -3*o = -2*p + i*p - 44, -44 = -p + 2*o. What are the prime factors of p?\nAnswer: 2, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.04619 rounded to 2 dps?\nAnswer: 0.05","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Convert -19b22 (base 15) to base 8.\nAnswer: -243063","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 v and 1 e when three letters picked without replacement from {z: 1, t: 1, e: 3, v: 2, i: 6}?\nAnswer: 3\/286","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from rrjoonjljxoj. Give prob of picking 2 o.\nAnswer: 1\/22","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let g(y) = 10*y + 8. Let n(p) = -12*p - 10. Let f be (375\/10)\/(-5)*(-4)\/6. Let j(b) = f*g(b) + 4*n(b). Let v(q) = 412*q**2. Give v(j(m)).\nAnswer: 1648*m**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*s - 4*n = 86, -169 = s + 2*s - 4*n. Let j be (6\/9)\/(2\/s). Let b = -4 - j. Calculate the remainder when b is divided by 4.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((30\/12)\/((-10)\/8))\/(10\/2).\nAnswer: -2\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 352 and 447904?\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*i**3 + 66*i**2 + 675*i + 1350 = 0.\nAnswer: -5, -3, 30","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is 7637478 bigger than 7637479?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*r = -43*s + 41*s - 12, -r = 4*s + 2. Suppose -984*l + 9248*l**2 - 576*l + 5212*l**r + 39 + 6 - 940*l**2 = 0. What is l?\nAnswer: 3\/52","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(b) = 5*b**2 - 11*b - 13. Let j(h) = -h**2 + 16*h - 36. Let k be j(3). Let f(l) = -l**2 + l + 1. Let q(w) = k*f(w) + n(w). Suppose q(m) = 0. Calculate m.\nAnswer: -1, 5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -5 in -3, 0, -3\/2?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let z(i) = -10*i + 3. Let x(k) = -120*k + 35. Let t(d) = -3*x(d) + 35*z(d). Let o(g) = 2*g. Let f(u) = -3*u. Let p be f(-3). Determine p*o(n) - 2*t(n).\nAnswer: -2*n","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.5347731g in micrograms?\nAnswer: 534773.1","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let u be 32\/(-20)*68030\/(-4). Is 6\/4*4*u\/24 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(j) = 2*j**2 - 17*j + 8. Give y(8).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0.14? (a) -3 (b) 103.7 (c) -0.2 (d) 2\/9\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is -40 plus 0.07646?\nAnswer: -39.92354","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-4 + 4 + 2*m)*(3 - 2 + 1) + m + 0*m + m - 4*m - m + 6*m + 7*m - 3*m - 3*m + 589*m + 33 - 601*m + 3.\nAnswer: -4*m + 36","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 234 and 208.\nAnswer: 1872","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (j**(-2\/9)*(j**(-1\/11)\/j)\/j)\/(j**15*j\/j**8) assuming j is positive.\nAnswer: j**(-1021\/99)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let s be 407\/(-148) + 2\/1. What is the third smallest value in -7, 1\/2, s?\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 506492.9 litres?\nAnswer: 506492900","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 1743.9809 - 1743. Let s = h + -0.817. What is s rounded to 2 dps?\nAnswer: 0.16","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*q**3\/7 - 50928*q**2\/7.\nAnswer: -2*q**2*(q + 25464)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -537397\/349485 + -22\/15195. Let g = j - 565\/138. Calculate the common denominator of g and -61\/2.\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: 5 - 0 - (104 + -80) - 10\nAnswer: -29","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 1 in -1\/3, 0.2, -0.065, 2?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 8 and -900.\nAnswer: -7200","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let n**5\/8 - n**4\/2 - n**3 + 7*n**2\/4 + 7*n\/8 - 5\/4 = 0. Calculate n.\nAnswer: -2, -1, 1, 5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (((-12)\/2)\/(-120))\/((-1)\/3*3).\nAnswer: -1\/20","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 1611629 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is 7 a factor of 4374928?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1047751732?\nAnswer: 2, 19, 3089, 4463","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -1\/2 in -6\/35, 0.4, -2?\nAnswer: -6\/35","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Convert 0.0120188mg to tonnes.\nAnswer: 0.0000000000120188","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Convert 4591 (base 14) to base 6.\nAnswer: 131535","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-142)\/16*6 + 62 + 21983\/(-356)?\nAnswer: -53","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is 456987 a multiple of 3?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let z(a) = 8458086*a**2. Let o(q) = -6*q**2. What is z(o(j))?\nAnswer: 304491096*j**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -1\/4 in 1, -2885, 0.1, 0, -2?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -2? (a) -7 (b) -4 (c) -5104 (d) 1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 376 minutes after 12:55 AM?\nAnswer: 7:11 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -t = 5*s - 1, 7 = 4*s + 4*t + 3. Suppose 2*g = 2*o + 209 - 45, 4*g + 5*o - 346 = s. Is g a multiple of 21?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(m) = -m + 14. Let r be j(11). Let n(i) = 31*i - 3. Let z be n(r). Calculate the greatest common factor of z and 10.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(d) = 27*d - 138. Let o be h(5). What is the second biggest value in o, -20, 5?\nAnswer: o","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is a in -9*a**3\/4 + 2503*a**2\/2 - 25907*a\/4 + 2755\/2 = 0?\nAnswer: 2\/9, 5, 551","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (-3 - -2)*(-125 + 16). Suppose -65 = -3*w + j. What is the lowest common multiple of w and 8?\nAnswer: 232","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -1*(-5 + -1*sqrt(245) - (sqrt(245) + sqrt(245)*2 + 2 + sqrt(245))**2)*5 + 5.\nAnswer: 595*sqrt(5) + 19650","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve -9*j - 1 = 17 for j.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -5*y**2 + 11*y**2 - 15*y**2.\nAnswer: -9*y**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 75271?\nAnswer: 7, 10753","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is 2821 a multiple of 30?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -p = 2, -q + p + 7 + 1 = 0. Suppose 0 = b - q*b. Suppose b = 3*a - 5*a. Solve x + a = 3 for x.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*z - 4*c = -0*c - 19, 3*z = 2*c - 5. Does 20 divide (-8)\/(-12)*60\/z?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(g) = 3*g - 22. Let w(d) = d - 2. Give 5*w(o) - y(o).\nAnswer: 2*o + 12","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is (-10 + (-140)\/(-6))*36\/90?\nAnswer: 16\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -h = -2*h + 1. Let a be (5 + -1)*h*2. Solve -x = x - a for x.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (-2)\/(-9) - 0\/(-1). Let n be (1 - 0)\/(-11 + (-21 - -31)). Which is the closest to 1\/2? (a) -1\/7 (b) n (c) d\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(a) = 37*a - 16*a + 3 - 25*a + a**2. Let o be t(0). Suppose o*g + 333 = 2*i, -4*i - 2*g + 695 = 53. Is 18 a factor of i?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (-1 - 0) + 5 + -2. Suppose q*z = -t - 12, 5*t + 11 = 1. Let i be z*1 + (-12 - -16). Which is the smallest value? (a) -0.3 (b) i (c) -5 (d) 1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 23039326.8 minutes to weeks.\nAnswer: 2285.6475","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 3.71 + -3.64. Suppose -44 = -5*h + 76. Let j be 22\/h - (-2)\/(-8). Do t and j have different values?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q be 1*(2 + (-2 - -5)). Let t(n) = n**3 - 6*n**2 + n - 7. Let d be t(6). Let u = -76.1 + 76. Put u, q, d in descending order.\nAnswer: q, u, d","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {a: 4, i: 5, n: 1, j: 8}. What is prob of picking 1 j and 2 a?\nAnswer: 1\/17","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let w(f) be the second derivative of f - f**3 - 33 - 1\/12*f**4 - 2*f**2. Calculate w(-4).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -11.43 - -7.06. Let a = -3.8 - h. What is a rounded to 1 decimal place?\nAnswer: 0.6","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(g) = -g**2 - 9*g - 6. Let n be o(-8). Solve 0 = -5*b + 5*s - 20, b + n*b + 3*s = 18 for b.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (x\/x**(-7))\/(x\/x**0)*(x\/(x*x\/(x**(-4\/7)\/x)))\/(x**(-3)\/x) assuming x is positive.\nAnswer: x**(59\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 3 + 6 + 2*j**4 + 3*j - 8 + j**2 - 2 + j**2 to the form a*j**2 + t*j**3 + w*j + h*j**4 + o and give o.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((v*((v*v*v**(-5))\/v)\/v)\/v)\/v**(-1))**15 assuming v is positive.\nAnswer: v**(-60)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 0 or 14\/365?\nAnswer: 14\/365","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 256034.\nAnswer: 2, 313, 409","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -338854 or -338842?\nAnswer: -338854","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*u = -2*w + 172, 5*w + 5*u + 470 = 10*w. List the prime factors of w.\nAnswer: 2, 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -0.01 - 71.\nAnswer: -71.01","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*q**3\/7 - 296526*q**2\/7 + 71252640*q\/7 - 4276886400\/7.\nAnswer: -2*(q - 120)**2*(q + 148503)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (-1 + (-7)\/(-2))*146\/5. Suppose -5*y - 174 = 3*r + r, -136 = 3*r + y. Let n = c + r. Calculate the least common multiple of 3 and n.\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -906*x**2 + 8*x**3 + 15*x**3 + 909*x**2 + 1 + 2*x**3 - 1 + (-5*x - x + 4*x)*(-x**2 - 2*x + 2*x) to the form b*x**3 + z*x**2 + o + y*x and give z.\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 9*x - 6885*x**3 + 7*x - 29*x - 92*x**3 - 3896*x**3.\nAnswer: -10873*x**3 - 13*x","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 188.03 + -188. Is -2\/3 at least as big as v?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 71\/18 and (-12)\/56*812\/(-72).\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*d - 9096 - 11205. Is d prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is 2 + -431?\nAnswer: -42d","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let y(a) = -a**2 - 35683*a - 321043. Give y(-9).\nAnswer: 23","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*p = 12, 5*p + 3 = -2*f - 2*f for f.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Divide 782093648 by -56.\nAnswer: -13965958","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Put -3, -2, 5 in descending order.\nAnswer: 5, -2, -3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let j(h) be the third derivative of -h**5\/60 + h**4\/24 + 3*h**2. Let n be j(3). Is (-398)\/n + 4\/6 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(n) = -3*n + 4. Let q be ((-60)\/135)\/((-4)\/18). Suppose -3*c + o = -2*c + 2, 4*c = q*o + 2. Calculate d(c).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(m) = -98*m - 1599. Let x be p(-15). Is x bigger than -97?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: ((-36 - -8)\/7)\/(8 - 10)\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0 + 0 - 7*u)*(-2 + 5 - 1) + (-4*u + 2 + 2*u + 0)*(-4 - 3 + 6).\nAnswer: -12*u - 2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -0.985 + -0.015. Let y = 416 - 420. Which is the fourth biggest value? (a) -0.5 (b) y (c) p (d) 4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*a + 6 = 3*a. Let b be ((-24)\/(-18))\/(6\/9). Let k(m) = -a + 6*m + 0 + b. Let f(y) = -4*y. Determine k(f(r)).\nAnswer: -24*r","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -199.308 - -229.57. Let s = -26.74 + m. What is s rounded to one dp?\nAnswer: 3.5","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (y**(-4))**17\/((y\/((((y*y**(-5\/3))\/y)\/y)\/y))\/y*y)**(-1\/6) assuming y is positive.\nAnswer: y**(-605\/9)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of -1403, -3023, -4643?\n\"Answer: -1620*m + 217","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (u\/u**(-3\/20))\/u**(-7\/4)*(u*u*(u*u**(-8\/7))\/u*u)**(1\/23) assuming u is positive.\nAnswer: u**(4799\/1610)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let h(s) = -s**3 + 2*s**2 - 3*s. Let c be h(0). Solve c = -3*n - 2*n + 3*j + 32, -3*n + 8 = j for n.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 2\/63 - 829\/315. Suppose 5*l - l - 5 = 5*q, 0 = 4*q + 20. What is the common denominator of m and ((-21)\/14)\/(l\/(50\/126))?\nAnswer: 210","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 20*i**4 + 88*i**2*l + 2*i*l + 364*i + 1 wrt i.\nAnswer: 240*i**2 + 176*l","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of 2420, 3579, 4738, 5897, 7056, 8215?\n\"Answer: 1159*p + 1261","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 1 in 0.1, -0.3, 144, 2\/19?\nAnswer: 2\/19","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.81107705 to four dps.\nAnswer: 0.8111","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (106*q - 8*q**2 + 3 - 106*q)*(-3 - 1 + 1) to the form c*q**2 + p*q + a and give c.\nAnswer: 24","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -0.09 - -1.89. Let x = h + 7.2. Let j = 5 - x. Sort 3, j, -0.1.\nAnswer: j, -0.1, 3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 163488833 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (-16)\/8*-1*1. Suppose 2*a - x = 0, a + 95 = 6*w - 3*w. List the prime factors of w.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 3.6 - 3.1. What is the biggest value in -2, q, 3?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -3654\/13 + 281. Let v = 58 - 58. What is the nearest to -0.2 in v, l, -2\/15?\nAnswer: -2\/15","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(w) = -w**3 - 9*w**2 - 7*w + 4. Let l be f(-8). Is (-2361)\/(-15) + l\/10 a multiple of 34?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -47 - -69. Suppose 0 = 4*x + j - 444, x - j + 0*j - 106 = 0. Suppose -x = -0*a - 2*a. Calculate the highest common factor of a and d.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -49? (a) 1 (b) -0.05 (c) 0.04\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 26 - 5.34596032848.\nAnswer: 20.65403967152","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 31 + -20. Let f(i) = -4*i**3 - i**2 - 1. Let a be f(-2). Let c be a*(2 + -1 - n). What is c rounded to the nearest one hundred?\nAnswer: -300","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: -3 divided by -83613\nAnswer: 1\/27871","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 3 times -17?\nAnswer: -51","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 k and 3 b when four letters picked without replacement from bbbbkkbbbb.\nAnswer: 8\/15","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*j + 0*j + 5*c + 37 = 0, 5*c + 13 = -3*j. Let s be -8*(27\/(-6) + j). Solve p - 6 = -s for p.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 209 minutes after 8:35 AM?\nAnswer: 12:04 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let z be 145\/(-3) + (-2)\/(-6). Let d be z\/22 - (-6 + -6 + 10). Which is greater: -1\/3 or d?\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 41*2 - (-5 + 4).\nAnswer: 83","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*q = -q - 20. Suppose -16 = -2*h + 2*n - 0*n, -h + 4*n = -q. Solve -j + h = -0*j for j.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*y - l = 4465, 2*l = 5*y - 2*l + 5576. Let d be y\/(-27)*(-3)\/(-2). Suppose -p - 2*b = -51, 4*b + 91 + d = 3*p. What are the prime factors of p?\nAnswer: 3, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(j) = -27*j**3 + 141*j**2 - 24*j - 10. What is n(5)?\nAnswer: 20","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 7133373 and 17550.\nAnswer: 351","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 1859 and 38925601.\nAnswer: 1859","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -9404178 + 343875.\nAnswer: -9060303","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 1468, 2931, 4390, 5845, 7296, 8743, 10186?\nAnswer: 11625","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Round 9070 to the nearest one thousand.\nAnswer: 9000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 38422 divided by -6.\nAnswer: -19211\/3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (-1 + 2)*(7 + -7). Let n(o) = -o**2 + o + 37. Let a(g) = -g**2 + g. Let y(l) = -2*a(l) + n(l). Is y(b) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (r\/(r*r**9*r)*r)\/r**(-11) assuming r is positive.\nAnswer: r**2","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 2\/5 in 0.23, -0.11, -5, 0?\nAnswer: 0.23","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -93\/8 and 1\/24.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the ninth root of 28547 to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 5 + 6*-6*(sqrt(153))**2 + 3.\nAnswer: -5500","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is 3763 - 8414?\nAnswer: -4981","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 21 (base 3) in base 13?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Divide 72930660 by -12.\nAnswer: -6077555","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-13*q + 15*q + 4*q)*(4*q**3 + 3*q**3 - 4*q**3) to i*q**4 + l*q**3 + j*q**2 + x*q + c and give i.\nAnswer: 18","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Factor -z**2\/7 - 97*z\/7 + 510\/7.\nAnswer: -(z - 5)*(z + 102)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 12880 and 460.\nAnswer: 12880","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 35\/8 and -151\/6?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 356 and 10?\nAnswer: 1780","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*s + 264 = s. Let f be -2*(-652)\/s + (-4)\/(-22). Suppose f*c = 10*c + 110. Calculate the smallest common multiple of c and 4.\nAnswer: 44","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(q) = 5*q**2 - 7*q + 14. Let a(m) = -1. Let s(b) = 2*a(b) - n(b). Let g be s(3). Does 20 divide (-2 + -5)*g\/14?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: -33 divided by 6\nAnswer: -11\/2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -14 - 17. Let t = -31.00156 - j. What is t rounded to four decimal places?\nAnswer: -0.0016","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0 + 0 + 1)*(1616*w - 1 + 10734*w + 985*w).\nAnswer: 13335*w - 1","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Convert 600 (base 14) to base 11.\nAnswer: 97a","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 7289 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 24399, 48799, 73201, 97605?\nAnswer: 122011","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -1409 - -822. Let x = t - -605. Calculate the greatest common factor of x and 150.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out 30.1456973 - 4.\nAnswer: 26.1456973","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is 9461 at most 9459?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 18455?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is 174127812 a multiple of 129?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 4*5*-1*((-2*sqrt(3) + sqrt(3))*-4 - sqrt(18)\/sqrt(24))*-5*2.\nAnswer: 700*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: (25\/20)\/(9\/(-60)*25\/30)\nAnswer: -10","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is 412 a factor of 1441136?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -173871*g**2 - 25*g**3 + 173871*g**2.\nAnswer: -25*g**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let q(k) be the second derivative of k**4\/4 + 14*k. Let i(y) = 11*y. Determine i(q(f)).\nAnswer: 33*f**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 3 y and 1 t when four letters picked without replacement from ttyytyt.\nAnswer: 4\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -106\/11 - -1791\/187. What is the third biggest value in -5, 3\/16, b?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 6951 + 8488. Is c a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -136710 divided by -1519.\nAnswer: 90","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 8184 and 29555834.\nAnswer: 354670008","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let w(g) = -g + 1. Let r(k) = 43*k. Let z(l) = r(l) + w(l). Is z(3) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -13 - -52. Suppose -2*p - 3*u - i = 0, -5*u + 86 = -4*p - 3. Let v = 0 - p. Calculate the common denominator of v and -18\/7.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (l**3 - 2*l**3 + 3*l**3)*(-34 + 26 + 22).\nAnswer: 28*l**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*x + v - 151 = -x, -4*x + 5*v = -214. Calculate the greatest common factor of 357 and x.\nAnswer: 51","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*b = 4*b + 6. Let y(v) = -8*v + 5*v**2 + 4*v + 3 - 2 - v**b - 2. Let m be y(3). Solve 10 = -0*n + m*n for n.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*x + 20 = 7*x. Find the second derivative of 2*b**x - 2*b**5 - b**5 - b wrt b.\nAnswer: -20*b**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in -2\/495, 2\/15, 1\/4, -5, 1\/12?\nAnswer: 1\/12","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: 378046*-16.4\nAnswer: -6199954.4","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.001145489 rounded to 6 decimal places?\nAnswer: -0.001145","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 900, 905, 910, 915, 920?\nAnswer: 925","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 18 and 64892.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is 2517\/18*-3*-14 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(d) = -4*d**3 - 11*d - 23. Let p(i) = i**3 + 3*i + 6. Let w(r) = 6*g(r) + 22*p(r). What is the first derivative of w(m) wrt m?\nAnswer: -6*m**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is d (base 16) in base 3?\nAnswer: 111","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve -14*p = -2*l + 31*p + 184, l + 116 = 3*l - 28*p for l.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-6571 - -6566) + (30 - (0 + 1 + -2)).\nAnswer: 26","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 343 divided by -86.\nAnswer: -343\/86","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-62)\/10)\/(((-4)\/(-250))\/((-1368)\/(-8550)))?\nAnswer: -62","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 8 a factor of 632?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let r(p) = 4 + 75*p - 76*p - 4. Let v(h) = 16*h**2 - 5*h. Let d(i) = 2*i - 3*i + 8*i**2 - i. Let g(z) = -5*d(z) + 2*v(z). Give r(g(a)).\nAnswer: 8*a**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Put -2, -4, -1080102 in decreasing order.\nAnswer: -2, -4, -1080102","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 1161875 and 1183?\nAnswer: 169","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*k - 6 = w + 9, 23 = k - 5*w. Let d = -1962 - -1959. Sort 3, d, k in descending order.\nAnswer: 3, k, d","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 266?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Are -11\/7 and 5 equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Express -h - 3*h + 3*h**2 + 4*h in the form u*h + k*h**2 + p and give k.\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let y(q) = 14*q**3 - q - 2. Let t be y(-2). Let r be ((-9)\/(-12))\/((-4)\/t). Calculate the greatest common factor of r and 7.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-78)\/9*3)\/((-23)\/((-23)\/(-2))).\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: 1145 (base 6) to base 15\nAnswer: 13b","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 q and 2 x when three letters picked without replacement from xxqqxq?\nAnswer: 9\/20","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is 0 - -4808534?\nAnswer: 4808534","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0.1? (a) 0.6 (b) -92 (c) 1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is 106392 a multiple of 62?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let g(a) = -15*a. Is 5 a factor of g(-1)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -14 + (-90)\/(-14) - (-15)\/(-35) - -4.\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of 1861, 3727, 5637, 7591, 9589?\n\"Answer: 22*m**2 + 1800*m + 39","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let r(y) = -92 + y - 2*y - 10*y**3 + 88 + 3*y. Let d be r(-2). Calculate the highest common factor of 9 and d.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1.78 - 1526125536.6.\nAnswer: -1526125534.82","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*d - 2*d + 4*d = 0. Let p = -31.1 - -31. Let j = 3 + -2. Sort j, d, p.\nAnswer: p, d, j","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 23696225?\nAnswer: 5, 7, 43, 47, 67","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -3*g*q**2*v**2 + 8*g*q**2 - g*q*v**2 - 155*q**2*v**2 - 2*q**2 + 3*v wrt v.\nAnswer: -6*g*q**2 - 2*g*q - 310*q**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (20 + -8 - 0) + -13 + 19?\nAnswer: 18","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of 590, 931, 1032, 887, 490?\n\"Answer: -q**3 - 114*q**2 + 690*q + 15","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Convert 0.053528ns to milliseconds.\nAnswer: 0.000000053528","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 59*d**2*i + 5*d**2 + 478*d*i wrt d.\nAnswer: 118*i + 10","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -5339, -5341, -5345, -5351, -5359, -5369?\nAnswer: -5381","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve -130 = -20*w + 11*w + 5 for w.\nAnswer: 15","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 1.5 + -1.572. Let n = k - 4.928. Let i = -2.03 - -0.03. What is the nearest to -1 in -7, n, i?\nAnswer: i","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -o + 5, 3*o + 0*o - 907 = -2*y. Suppose 4*r + 3*k = 1799, 3*r - 2*r - 3*k - y = 0. Is r composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 1438651 - -2511349. Round g to the nearest 100000.\nAnswer: 4000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1367864856 - -4.\nAnswer: 1367864860","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 107\/47670 and -149\/55140.\nAnswer: 87617460","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let v(u) = u**3 - 2*u**2 - 8*u + 15. Let p be v(3). Suppose 3*h + 5*l - 86 = p, -3*h - 27*l + 84 = -24*l. What is the remainder when h is divided by 11?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -273 - -271. Let g(c) = 3*c**2 + c + 1. Let k be g(-3). List the prime factors of (9 + k)\/(-1 - p).\nAnswer: 2, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j be 9\/(-21) - (-2328)\/42. Let a = j - 28. Suppose 2 = 28*m - a*m. Calculate the highest common divisor of 14 and m.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -35667, -18622, 9787, 49560?\nAnswer: 100697","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let v(j) = -j**2 - 13*j - 33. Let i be v(-9). Suppose 0 = 3*c + 5 + 7. Let s(x) = -2*x + 1. Let p be s(-2). Put i, p, c in decreasing order.\nAnswer: p, i, c","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*a**2 - 13234512*a + 21894038484768 = 0 for a.\nAnswer: 3308628","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 7 - 8. Let n = c + 3. Suppose 0 = -n*z + 20 + 20. Solve 0 = -0*r - 5*r + z for r.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 141262?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 4*(2 + (5*(sqrt(51) + (sqrt(1836) + sqrt(51) - sqrt(51))))\/sqrt(3) + (-2*sqrt(1377) + 4 + -3*sqrt(17))**2).\nAnswer: -532*sqrt(17) + 30060","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 1625 + -1621. Solve 5*o - 18 = 2*m + o, 0 = -b*m + o - 22 for m.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(t) = 3*t**3 - 2*t**2 - t - 1. Suppose 5*q = -64 + 49. Let r(v) = 4*v**3 - 3*v**2 - 2. What is q*a(w) + 2*r(w)?\nAnswer: -w**3 + 3*w - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*a - a - 18 = -5*w, 3*a - 4*w + 14 = 0 for a.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-112)\/32 + 3\/(-2).\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 777380 rounded to the nearest 10000?\nAnswer: 780000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -8267\/60 + 678\/5. What is the common denominator of i and 1\/(-2) - 255\/(-84)?\nAnswer: 420","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out -8.47 * 0.5.\nAnswer: -4.235","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let v(b) be the third derivative of -b**6\/120 - b**5\/12 + b**4\/6 - b**3 - 61*b**2. Let x be 4\/1*1\/2. Let q be x\/(-7) + 80\/(-14). Calculate v(q).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 13*b + 8 = 15*b - 3*j, -b + 3*j + 7 = 0 for b.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is -479337672 < 1?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let c(h) = h**3 + h - 1. Let b(d) = -18*d**3 + 3*d**2 - 5*d + 5. Suppose 5 - 4 = s. Let g(q) = s*b(q) + 5*c(q). What is the third derivative of g(p) wrt p?\nAnswer: -78","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*a = -5*f - 605203 + 9395188, -3516003 = 2*a + f. What is a rounded to the nearest 10000?\nAnswer: -1760000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: 21\/1470*28*10\/(-42)\nAnswer: -2\/21","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (32*23\/552)\/(72\/10) + (-6)\/81?\nAnswer: 1\/9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 32.89548 centuries in years?\nAnswer: 3289.548","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 1113, 2331, 3619, 4971, 6381, 7843, 9351, 10899?\nAnswer: 12481","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Product of -0.003 and 19.6.\nAnswer: -0.0588","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of -15, -22, -41, -78, -139, -230?\n\"Answer: -w**3 - 14","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (-44)\/(-7) - (-2)\/(-7). Let t(v) = v - 8. Let c be t(8). Solve -3*f + 3*x = -y, c = 5*f - 4*x - 0*x - 7 for f.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:01 AM and 12:26 PM?\nAnswer: 145","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:23 AM and 8:51 AM?\nAnswer: 88","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Expand (164 - 32*s - 164)*(-3 + 4 + 0)*((0*s + 0*s - 2*s**3)*(-2*s + 0*s + 3*s) - s**4 - 3 + 3).\nAnswer: 96*s**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 695760 = -x - 4*v - 1401756, v - 6292496 = 3*x. Round x to the nearest 1000000.\nAnswer: -2000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred millions digit of 500294605?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 419*i = -24*i - 4873. Let a(q) = q**2 - 11. Determine a(i).\nAnswer: 110","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(p) be the second derivative of 3*p**5\/80 - 3*p**4\/4 + 6*p**3 - 24*p**2 + 3*p. Suppose b(g) = 0. Calculate g.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 6*y - 22 = -4*j + 8*y, 21 = 4*j - y for j.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*l + r + 471 + 717, -l + 5*r = -396. Is l a multiple of 12?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 7*t**3 - 2*t**2 + 2*t**2 + 5*t**2 - t**2.\nAnswer: 7*t**3 + 4*t**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is 1433203 + -11?\nAnswer: 1433142","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:40 AM and 8:37 AM?\nAnswer: 117","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2 - 2 - 3)*(-1472 + 309*j**5 + 1472).\nAnswer: -927*j**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 0.53 + -448.53. Let w = h + 448.293. Let q = w + 0.007. Are q and -4 equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express ((3 - 2 + 0)*(-2 + 5 - 2) - 1 + 0 + 2 - 7 + 1 - 3)*(3*l**3 - l + l) - 2027*l**2 + 2*l**3 + 2027*l**2 in the form t + q*l**3 + v*l + z*l**2 and give q.\nAnswer: -19","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 1 + -4 + (1 - 1 - -3).\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*b - 810 = -3*r, 5*b + 3*r - 142 - 1856 = 0. What is the lowest common multiple of 34 and b?\nAnswer: 6732","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 94 and 4.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*u + 5*w = 810, -7*u + 3*w = -4*u - 468. What is the remainder when 619 is divided by u?\nAnswer: 142","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -33 + 0*t**3 + 12*t**3 + 2 - 24*t**3 - 14.\nAnswer: -12*t**3 - 45","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*w = -40 + 2. Let y = -17 - w. Solve 3*t = -5*v - y, -4*v + 5*v - 5*t - 22 = 0 for v.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(i) = 2*i**3 - 40*i**2 + 221*i - 6654. Determine q(22).\nAnswer: 144","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 109 + -70. Is p even?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Product of 473 and 27.835.\nAnswer: 13165.955","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(500) + 1)*-1 + -5 + sqrt(30)\/(sqrt(18)\/sqrt(3)).\nAnswer: -9*sqrt(5) - 6","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 1048 - 1052. Sort 3, 11, 14, u, -3.\nAnswer: u, -3, 3, 11, 14","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is -212 - 10210210202121010?\nAnswer: -10210210202121222","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Expand (h + 2*h - h)*(2 + 0 - 1)*(3 - 3 - 1)*(2*h**2 - 3*h**2 - 3*h**2).\nAnswer: 8*h**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of 3178, 3575, 3972?\n\"Answer: 397*x + 2781","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let m(k) = k + 11. Let l be m(-10). Let i(a) = 3 - a + 2 - l. What is i(2)?\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-16*k**3 - 7*k**3 + 0*k**3)*(-16*k - 13*k + 21*k).\nAnswer: 184*k**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -83 - -82. What is the nearest to -0.1 in 1\/6, 2\/3, t?\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 e, 1 o, and 1 t when three letters picked without replacement from yyyyyotoyeoy?\nAnswer: 3\/220","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is 1574773 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 535546099.\nAnswer: 11, 23, 2116783","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-8520)\/(-69225)*(-39)\/(-30)?\nAnswer: 4\/25","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve -27*u = -14 - 13 for u.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let r be ((-6)\/(-15))\/(((-6)\/(-55))\/6). Suppose r*w - 156 = -2. Solve 3*t = m + 7, 2*t + 19 = 2*m + w*t for m.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of -752, -738, -706, -650, -564, -442, -278?\n\"Answer: x**3 + 3*x**2 - 2*x - 754","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -47 - -47. Which is greater: 6\/157 or y?\nAnswer: 6\/157","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = q - 1 - 7. Let d be 1\/1 + -17 + 2. What is the lowest common multiple of q\/d*(-63)\/18 and 6?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h be -6*3\/(-6) + -10*10\/28. Let s = -0.7 + 0.2. What is the second biggest value in -0.1, h, s?\nAnswer: s","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 81\/110154470 and -129\/1450.\nAnswer: 550772350","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Expand -2*k + 6*k - 3*k + (3 + 1 - 2)*(3 + 5*k - 3).\nAnswer: 11*k","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Work out 448787.186005 + -1.\nAnswer: 448786.186005","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-42 - -15) + 122 - -5?\nAnswer: 100","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let a be 4 - (4 - 5)*-2. Suppose 0*g + 9 = 3*g. Calculate the common denominator of (880\/(-48))\/(a\/g) and 62\/3.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 29929 is divided by 365.\nAnswer: 364","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let w(l) = -5*l**3 + 15*l**2 - 12*l + 10. Let s(c) = c**3 - c**2. Let r(g) = -6*s(g) - w(g). What is the tens digit of r(-11)?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2*d**3 - 202*d**2 + 76*d**2 + 69*d**2 - 8*d**3 + 75*d**2.\nAnswer: -6*d**3 + 18*d**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (-6)\/(-10) - 141\/(-15). Suppose -d*v + 25 = -5*v. Solve -2 = u + c, -v*u - c = -2*u for u.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 18367?\nAnswer: 18367","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 46696?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -6 + 5 + 5 + (151 - 174)?\nAnswer: -19","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.02202884065 rounded to 5 decimal places?\nAnswer: -0.02203","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1206?\nAnswer: 2, 3, 67","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 56 and 24556.\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (x**(-15\/8)*x**(2\/37)*x)**(-40\/3) assuming x is positive.\nAnswer: x**(405\/37)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -8432934704 - -3718153619. Let s = d - -4714781040.99999941. Let t = 44 + s. Round t to seven decimal places.\nAnswer: -0.0000006","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 2623 to the nearest integer?\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 s, 1 f, and 1 o when three letters picked without replacement from {c: 2, o: 4, a: 2, s: 1, f: 4, k: 2}?\nAnswer: 16\/455","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: 13 times 0.0661\nAnswer: 0.8593","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Express -211*u + 207*u + u**3 + 1 - 5 - 4*u**2 + 2 as b + a*u + h*u**2 + o*u**3 and give b.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -155262691*u**3 + 126558249*u + 1 wrt u.\nAnswer: -931576146*u","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((s**7*s*s**(-3\/14))\/(s*s*s**(1\/11))**(-2\/77))**9 assuming s is positive.\nAnswer: s**(119529\/1694)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((t**(-1\/5)*(t*t\/(t*t\/(t**(-8)*t*t)*t))\/t)\/((t\/t**(-2\/3))\/(t*t*t*t**(-1\/5)*t*t)))**(-6\/11) assuming t is positive.\nAnswer: t**(152\/55)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let z(s) = 3*s**2 + 9*s**3 + 2*s**2 - 1 - 3*s - 2*s**3. Let w be z(3). Let r = w + -1572\/7. Sort r, 1\/2, -3\/5 in ascending order.\nAnswer: -3\/5, r, 1\/2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -h = b - 2, h + 3*b + 4 = 6. Solve -i - 4*z = -h*z + 1, 4*z = 2*i - 14 for i.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 55 + -79. Let s be (-3)\/(2\/(u\/9)). What is the second derivative of o**2 - 4*o**2 - 4*o**s + 3*o**2 + o wrt o?\nAnswer: -48*o**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 5, 59, 137, 245, 389, 575, 809, 1097?\nAnswer: 1445","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve -x = 291 - 290 for x.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 4753310.\nAnswer: 2, 5, 475331","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: -51 + 58 - -35 - 119\nAnswer: -77","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let o(h) = -3*h - 13. What is o(4)?\nAnswer: -25","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) 4 (b) 1\/6 (c) 1\/10 (d) -2101\/8 (e) 3 (f) 5\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let i(n) = 692*n + 226405. Give i(-327).\nAnswer: 121","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Work out 853830901 - -0.4.\nAnswer: 853830901.4","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(768)*-2 + sqrt(48))**2.\nAnswer: 2352","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*a + 2*z = 6, -6 = 7*a - 4*a - 2*z for a.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 113220?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Factor n**5 + 65*n**4 + 1203*n**3 + 4671*n**2 + 2160*n - 8100.\nAnswer: (n - 1)*(n + 3)**2*(n + 30)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Find x such that -x**4\/2 + 1439*x**3 + 21698*x**2 - 1439*x - 43395\/2 = 0.\nAnswer: -15, -1, 1, 2893","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*l + 13*l = -34. Is l*4\/4 - -1819 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l be -5*5 + -9 + 12. Let g = l + 16. Let v be (-4)\/(-2) + (12 - g). Solve v = -2*i - 3*i for i.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*j - 84*s = -46*s - 39*s - 24, 4*s + 57 = 5*j for j.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 53 + -33. Let u(w) = -w**2 - 10*w. Let o be u(-11). Let s = x + o. Solve 4*h = 11 + s for h.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i be 15\/40*(-24)\/(-9). Let p = -15 + 24. Which is smaller: p or i?\nAnswer: i","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 1\/(-3)*18*-1?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 10*z - 12 = -2 for z.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -81*z**2 - 114030*z - 40132225 = 0. Calculate z.\nAnswer: -6335\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-955)\/325 + 3)\/((-32)\/(-80))?\nAnswer: 2\/13","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 15906774 + -8266774. Round z to the nearest 1000000.\nAnswer: 8000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find f, given that 10*f**5 + 5*f**4 - 50*f**3 - 25*f**2 + 40*f + 20 = 0.\nAnswer: -2, -1, -1\/2, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 57 - 53. Suppose g*y = -8*m + 4*m + 44, 4*m = -2*y + 14. Solve 4*f - 5 = y for f.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -2 + 6. Suppose g = -5*h + 20, j = 2*h - h + g. Is 4 a factor of h\/10*20\/2?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in fourty-five halves of a litre?\nAnswer: 22500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: 463513 (base 9) to base 16\nAnswer: 43e96","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 1.352034l?\nAnswer: 1352.034","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-5)\/(-2) + 865\/346 - 42\/2?\nAnswer: -16","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in z - z + 0*z**3 + 22173 + 2*z**3 - z.\nAnswer: 2*z**3 - z + 22173","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(55) + -5*sqrt(110)\/sqrt(2) + sqrt(55) + sqrt(55) + 1*sqrt(2695) + sqrt(2695))\/((sqrt(132)\/sqrt(4))\/sqrt(3)*5))**2.\nAnswer: 144\/5","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -11*w + 15 = -6*w. Suppose w*h + v + 12 = -2*v, -10 = h + 4*v. Let n(t) = -3*t**3 - 4*t**2 - 3*t - 1. Determine n(h).\nAnswer: 13","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(b) = -2*b**3 - 2*b**2 - 4*b + 17. Let z(f) = f. Give -a(s) - 2*z(s).\nAnswer: 2*s**3 + 2*s**2 + 2*s - 17","meta":{"dup_signals":{},"source":"polynomials__add_test"},"subset":"dm_maths"} +{"text":"Question: What is 4138252 to the power of 1\/7, to the nearest integer?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 1\/130034 or 4?\nAnswer: 1\/130034","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*k**5 + 122*k**4 - 420*k**3 - 2312*k**2 - 464*k + 3072 = 0. What is k?\nAnswer: -64, -2, 1, 6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 25457662?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 489734?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-37 + 2*g + 69 - 29)*(-5*g**3 + 5*g**3 - 2*g**3) to t*g + z + j*g**4 + m*g**2 + q*g**3 and give j.\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*d + 49*i - 46*i = 34542, 23030 = 2*d + 4*i. List the prime factors of d.\nAnswer: 29, 397","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((t*t**(1\/8))**(-11))**22 assuming t is positive.\nAnswer: t**(-1089\/4)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 391580 to the nearest integer?\nAnswer: 626","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: 0.143 * -2796693\nAnswer: -399927.099","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -467, -998, -1551, -2096, -2603, -3042, -3383?\nAnswer: -3596","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth root of 2238365 to the nearest integer?\nAnswer: 19","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Simplify c**(2\/13)*c**(-2\/13)*c*c*c**10*c*c\/(c**(-10\/9)\/c) assuming c is positive.\nAnswer: c**(145\/9)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 21044 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: How many minutes are there between 1:02 PM and 3:31 PM?\nAnswer: 149","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8*z - 87 = -37*z. Solve 423 = z*h + 429 for h.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(m) = 501*m**3 - 21*m. Let q(h) be the first derivative of -25*h**4\/2 + h**2 - 9684. Give -2*d(g) - 21*q(g).\nAnswer: 48*g**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve -7*v = 9 + 19 for v.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -564.54 + 183.54. Put 2\/3, 18, j in ascending order.\nAnswer: j, 2\/3, 18","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(f) = -f**3 + 339*f**2 - 8459*f + 10919. Determine v(312).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of (-56)\/21*(-30)\/4 and 6?\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 69539 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*d - 192 = 4*z, 0*d - 3*d - z + 105 = 0. List the prime factors of d.\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -p = -c - 40, 0 = -c + 4*p - 26 - 14. Let v = c - -69. What is the tens digit of v?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of -4442, -11628, -21564, -34250, -49686, -67872?\n\"Answer: -1375*w**2 - 3061*w - 6","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.1 plus -0.04382473?\nAnswer: 0.05617527","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 1042833 to the power of 1\/7, to the nearest integer?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let s(c) be the first derivative of -c**4\/4 - c**2\/2 + 4*c + 6. Give s(0).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -2, 5, -1, -18, 3, 0 in descending order.\nAnswer: 5, 3, 0, -1, -2, -18","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 10533228?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 164 is divided by 14?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -1669 + 1669. Let j(d) be the first derivative of 1\/2*d**5 + 4 - d**6 + v*d**2 + 1\/6*d**3 + 3\/4*d**4 + 0*d. Determine w, given that j(w) = 0.\nAnswer: -1\/3, -1\/4, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 876\/(-365)*10\/(-168)*33.\nAnswer: 33\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is -117 > -26?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 28.94 and 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -478*q + 10200*q - 1898*q.\nAnswer: 7824*q","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence hv when two letters picked without replacement from {n: 3, q: 3, h: 8, j: 2, v: 3}.\nAnswer: 4\/57","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 3758, 7772, 11778, 15776, 19766, 23748, 27722?\nAnswer: 31688","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 1229 - 1226. Sort 5, x, 17, 0 in ascending order.\nAnswer: 0, x, 5, 17","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0*j**3 - 5*j**3 + 4*j**3)*(-3*j + j + 4*j) + 0*j**4 - 3*j**4 + 6*j**4 - 2*j**2 + 11*j**4 - 7*j**4 - 7*j**4.\nAnswer: -2*j**4 - 2*j**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let s(f) = -7*f - 2. Let t(h) = -8*h - 3. Give 7*s(o) - 6*t(o).\nAnswer: -o + 4","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: 1 - 21 - (52 - 66)\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let p(n) = -15*n**2 - 6*n + 6. Let b be 15*((-189)\/(-35) - 5). Let c(l) = -44*l**2 - 17*l + 17. Determine b*c(v) - 17*p(v).\nAnswer: -9*v**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let p(d) = -2*d**2 - 4*d. Let q(y) = 3*y**2 + 6*y. Let x(o) = -7*p(o) - 5*q(o). Let l(n) = -5*n**2 - 9*n. Calculate 2*l(t) - 9*x(t).\nAnswer: -t**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 589 is divided by 573?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 13266148?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: (9\/3)\/(((-3600)\/72)\/450)\nAnswer: -27","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 362829.8 rounded to the nearest 1000?\nAnswer: 363000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Product of -251.13 and -34.\nAnswer: 8538.42","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -3\/5 in -0.06, 412\/3, -1\/2, -1, -2\/9?\nAnswer: -1\/2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of 834352, 1668703, 2503054, 3337405?\n\"Answer: 834351*c + 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 72641 and 34.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 37 + 3 = -4*t. Let d = -10 - t. Solve d*k - k + 4 = 0 for k.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -34*h + 29*h + 15. Suppose 8*m = h*m + 1985. Is m composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -545.005421 to the nearest 10.\nAnswer: -550","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -n + 8 = m, 5*m + 4*n - n = 32. Suppose 2*d + m*k - 23 = k, -d - 4*k = -4. Calculate the highest common factor of d and 2.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 344 divide (93\/(-18) - -5) + 55\/(-66) + 28834?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 40257685?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify r**(-4\/9)\/(r**5\/r) assuming r is positive.\nAnswer: r**(-40\/9)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.000010843728 rounded to seven dps?\nAnswer: 0.0000108","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence hr when two letters picked without replacement from {h: 1, v: 1, n: 1, r: 2, s: 1, k: 1}?\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:15 AM and 7:43 AM?\nAnswer: 88","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2375400?\nAnswer: 2, 3, 5, 37, 107","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: ((-84)\/27)\/((-26)\/(-429))*(-9924)\/5789\nAnswer: 88","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of -618, -1243, -1868, -2493, -3118?\n\"Answer: -625*c + 7","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -334, -670, -1006, -1342, -1678, -2014?\nAnswer: -2350","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -3 + 6. Let d be 6*(-4 - 50\/(-15)). Sort d, a, -5 in descending order.\nAnswer: a, d, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -2.327 - -2.381. Which is the nearest to -0.3? (a) 0.2 (b) 2 (c) i\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(p) = -2988*p - 14647. Calculate g(-5).\nAnswer: 293","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let h(i) = i**2 - 9*i - 8. Let b be h(10). Determine p, given that 0*p**2 - 97*p + 3*p**b + 18 + 42*p + 40*p = 0.\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*i**2\/7 - 24*i\/7 - 27\/7 = 0. What is i?\nAnswer: -1, 9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 6*b*o*r*y + 4*b*o - 2*b + 193*o*r - o*y + 18*o - y wrt r?\nAnswer: 6*b*o*y + 193*o","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -32\/33 and (-10)\/(-3)*11\/15.\nAnswer: 99","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 3 divide 7558?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -8520\/23 + 88131\/253. Is z at most 2?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 52353 a multiple of 44?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is -2 (base 16) in base 6?\nAnswer: -2","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let o(b) = 2*b**3 + b**2 - 15*b - 3. Let r be o(3). Solve 0 = 2*s + 10, 0 = 4*y - 2*s + 5 - r for y.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from zzzgzgzz. What is prob of sequence gz?\nAnswer: 3\/14","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (h**(-21)\/h**(-6)*(h**(2\/3))**(15\/2))**(10\/11) assuming h is positive.\nAnswer: h**(-100\/11)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 728 and 13?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 5576978 and 154?\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*p + 3*f = -37, p + 3*f + 21 = -2*p. Let w(d) be the third derivative of d**5\/60 + 3*d**4\/8 + 11*d**3\/6 - 2*d**2. What is the units digit of w(p)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of -29152, -117798, -265932, -473554, -740664, -1067262, -1453348?\n\"Answer: -29744*x**2 + 586*x + 6","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 2 + 2*(sqrt(5) + 1) - (sqrt(5) + sqrt(180) + 1 + -3).\nAnswer: -5*sqrt(5) + 6","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let u(x) = -x**3 - 13*x**2 - 14*x - 17. Let p be u(-12). Let a(f) = -f**2 + 7*f + 4. Let v be a(p). Which is smaller: 3 or v?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1176 = 313*f + 5710 for f.\nAnswer: -22","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*n + 803 = 7*g - 2*g, n = 5*g - 281. Let u = -261 - n. Are -0.303 and u equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -3.5737 take away -2098?\nAnswer: 2094.4263","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -151 + 1361\/9. Determine i so that z*i**2 + 4\/9*i**3 + 0*i + 0 + 2\/9*i**4 = 0.\nAnswer: -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -228*-109.\nAnswer: 24852","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.08429797 to three dps.\nAnswer: 0.084","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Product of 1044 and 24979.1.\nAnswer: 26078180.4","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in -0.12, -2, 1\/3, 3, -7\/4?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((((g\/g**6)\/g)\/g**(1\/5))**(-20))**(-32))**(2\/103) assuming g is positive.\nAnswer: g**(-7936\/103)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -14*r**3 + 74 - 35 - 16 wrt r.\nAnswer: -42*r**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1416163663 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 2\/65 + 53\/390. What is the closest to -2 in -0.2, z, -0.3?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is 110 - -1212100?\nAnswer: 1212210","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (-5*(-126)\/385)\/((-32)\/(-176)). Solve 0 = a + 8*a - h for a.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in 3\/2, 2\/4809, 69, 3\/22?\nAnswer: 3\/22","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 225715.9 milligrams in nanograms?\nAnswer: 225715900000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 19370 even?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -103*b + 316380 = -14456. Calculate the least common multiple of 803 and b.\nAnswer: 3212","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {r: 4}. What is prob of sequence rr?\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: 240\/180*234\/24\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*b + 2*b + 580 = 0. Let m = -41 + b. Suppose -5*v - m = -4*l, 0*v = -4*v - 16. List the prime factors of l.\nAnswer: 3, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3 + 4 - 2)*(16*a - a - 4*a).\nAnswer: -11*a","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 46339 a multiple of 149?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is 43391 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let u(q) = -10*q + 5. Let c be u(-6). Let x be 1209\/c + 6\/(-10) + 1. Solve o = -3 - 0, 0 = k + 5*o + x for k.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 606 + 1032 = -2103*b - 465 for b.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is -4043 + -4256?\nAnswer: -11332","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -4 + 1*(sqrt(26)\/sqrt(2)*5 + 0 + sqrt(468)) - (((sqrt(65)*-1)\/sqrt(5) - (sqrt(13)*2)**2*6) + -5 + -1*sqrt(1300)).\nAnswer: 22*sqrt(13) + 313","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is -114013 + 4?\nAnswer: -114007","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*p - 818*c = -815*c - 92372, -p + 23094 = c. What is the hundreds digit of p?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -29032*f - 27630*f - 3766*f - 25492*f.\nAnswer: -85920*f","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*d - 3 - 2 = 0. Let b(g) = 19*g**3 - 2*g**2 + 2*g - 1. Let m = -5 + 39. Calculate the remainder when m is divided by b(d).\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a be 2\/27*(0 + 3). Let l = -40080.93 + 40081. What is the closest to l in a, -0.1, -5?\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 48260?\nAnswer: 2, 5, 19, 127","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let m(d) = d - 15. Let x = 368 - 351. Let p be m(x). What is the nearest to -19 in p, -1, 3?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 1130*w - 122*w**3 + 364*w**3 + 419*w**3 + 1 - 112*w + 36*w**3 wrt w?\nAnswer: 4182*w","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 0.4737371l?\nAnswer: 473.7371","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose u + 3*h - 11 = 0, -7*u + 3*u - h = 0. Which is bigger: 5\/21 or u?\nAnswer: 5\/21","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1\/((-2)\/(-91))*(36\/7)\/(-9)?\nAnswer: -26","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 294*a - 5*o = 573, 680*a + 4*o = 679*a + 14 for a.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*c + 15, 5*y + 0*c - 60 = c. Suppose 4*i - y = 3*i. Does 4 divide i?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*v - 5*v = -6. Suppose t + 0 + 1 = 5*n, 0 = 5*t + n - 21. Calculate the remainder when t is divided by v.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 3 - 6. Suppose 33*r + 24 = 2*r + 86. Which is the nearest to -1\/4? (a) r (b) -0.5 (c) f\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (10 + -2)*10\/4. Let l be (0 - 0)\/(2*-1). Solve -a + l = 4*z for z.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the seventh smallest value in 9, 1, -492, 0.1, 0.2, -2\/9, 1\/12?\nAnswer: 9","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 47*l = 41*l - 12 for l.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 a, 1 t, and 1 h when three letters picked without replacement from {t: 1, h: 3, e: 1, y: 2, l: 3, a: 1}?\nAnswer: 1\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence gpnf when four letters picked without replacement from {g: 1, p: 1, f: 2, n: 4}.\nAnswer: 1\/210","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 60750 and 50?\nAnswer: 50","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let y be 1*-18*7\/(-14). Suppose y*z = 711 + 918. Is 27 a factor of z?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*k + w - 8 = 5*w, k = w + 2. Suppose k = -5*r + 753 + 357. What are the prime factors of r?\nAnswer: 2, 3, 37","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 74588593939 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 6320899254?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let r(w) = 96*w**2 - 3*w + 3. Let z be r(3). Let y = -2608\/3 + z. Calculate the common denominator of 6\/(-39) - (-2096)\/(-572) and y.\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(z) = -z**2 - 16*z + 22. Give q(-18).\nAnswer: -14","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.3 - -5.666?\nAnswer: 5.966","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is 132474 a multiple of 11?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -795 - -796. What is the closest to 1\/3 in x, 0.13, -4?\nAnswer: 0.13","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (-2 + (-248)\/86)\/2. Let n be ((-1)\/(-5) + 1)*8210\/3784. Let w = n - z. Find the common denominator of -39\/20 and w.\nAnswer: 220","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*w + 63 = -3*b, -3*b - 14 = w - b. Let f(z) = z**2 + 3*z + 5. Let q be f(4). Let x be (1\/w)\/((-11)\/q). Which is greater: x or 6?\nAnswer: 6","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 4734401 is divided by 2285?\nAnswer: 2166","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 113558 is divided by 1556?\nAnswer: 1526","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Round 2251.514974 to the nearest 100.\nAnswer: 2300","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 5 - 4. Let x be 5 + v - (3 - 1). Calculate the greatest common divisor of 28 and x.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-2)\/(-8))\/(4\/80).\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 23 a factor of 789?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 567 and 999?\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 20.1 and 10382?\nAnswer: 208678.2","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 26519376 to the power of 1\/3, to the nearest integer?\nAnswer: 298","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of -44010, -87973, -131924, -175857, -219766, -263645, -307488, -351289?\n\"Answer: o**3 - 43970*o - 41","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0.1 in -433338, 1\/2, -2\/11, 1.1, -4?\nAnswer: -2\/11","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -173\/16812726 and -88\/7864017.\nAnswer: 487569054","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -1756421, -1756422, -1756423, -1756424?\nAnswer: -1756425","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 61783642?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in -0.4, 13, 5\/2, -6\/5, 2\/3, 0.11?\nAnswer: 0.11","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth root of 4734327 to the nearest integer?\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -753\/8 + 175\/2. What is the common denominator of y and 9\/648*533 + (-2)\/(-9)?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: 356463 (base 7) to base 4\nAnswer: 33303111","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Are -3 and -4 unequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -5*a + 8*a. Solve -q - q = a for q.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 17903131 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -2.082 + 2.182. Which is the nearest to 0.1? (a) n (b) -38 (c) -3\/2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -3*b**4 - 384*b**3 + 1179*b**2.\nAnswer: -3*b**2*(b - 3)*(b + 131)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 16702*w + 17140*w - 33845*w.\nAnswer: -3*w","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let k(p) = 3*p**3 - 11*p**2 - 36*p - 44. Determine k(6).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let x(d) be the second derivative of d**3 + 7*d**2\/2 + 41*d. What is x(5)?\nAnswer: 37","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 148.17000559 rounded to 3 decimal places?\nAnswer: 148.17","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 58.302963 + -0.4.\nAnswer: 57.902963","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Total of 27 and 77.8813.\nAnswer: 104.8813","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Round -33486.62 to the nearest 100.\nAnswer: -33500","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 180 = -2*u - 5*r + 1187, -3 = -3*r. Let v = u - 983\/2. Find the common denominator of -83\/2 and v.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 2113525 and 7225.\nAnswer: 425","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:50 AM and 12:50 PM?\nAnswer: 120","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let v(i) = 79*i. Let o(m) = 2*m - 1. Give -4*o(w) - v(w).\nAnswer: -87*w + 4","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let c(l) = 9*l + 3*l + 6*l + 15*l - 19*l. Let p(o) = 56*o. Give c(p(u)).\nAnswer: 784*u","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: 0.056252371+-475526\nAnswer: -475525.943747629","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.1 take away 740?\nAnswer: -740.1","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0 + 1 - 10)*(4*i**3 - 3*i**3 + i**3).\nAnswer: -18*i**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0.13 - 103.\nAnswer: -102.87","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let k(s) be the third derivative of -s**7\/420 - s**3\/2 + s**2. Let b(q) be the first derivative of k(q). Find w such that b(w) = 0.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 693065.\nAnswer: 5, 97, 1429","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is -93 > -1020\/11?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -4956 + 104168\/21. Let q = 649\/42 + k. Calculate the common denominator of q and 7\/4.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -b**4 - 4*b + 5*b + 2*b**4 + (5 - 5 - 2*b**3)*(-34*b - 42*b + 30*b) in the form o*b + u*b**3 + x + t*b**4 + a*b**2 and give o.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 0.01 - 0.41. Suppose 40 = 5*s + 35. Which is the nearest to 2? (a) -1 (b) n (c) s\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -82 and -8?\nAnswer: 656","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let w(m) = -17*m - 30. Let l = -5065 + 5062. Calculate w(l).\nAnswer: 21","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:27 PM and 10:00 AM?\nAnswer: 693","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*u = -4*h - u + 18, 3*u + 14 = 2*h. Suppose h*z - 5 = 15. Let l be (-25*z)\/(7\/(-91840)). Round l to the nearest one hundred thousand.\nAnswer: 1600000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q be 331296\/435 + (-2)\/(-5). Let p = q + -759. Solve -3*l - p*v = -v + 5, -l + 2*v = 15 for l.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(v) = -v**2 + 4*v + 21. Let p(l) = -l**2 + 3*l + 22. Let d(z) = 6*p(z) - 7*s(z). Suppose -6*i + i = -55. What is d(i)?\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -4\/109? (a) 26 (b) 1 (c) -3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 43*w = 13*w - 210 for w.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: How many millimeters are there in 1\/10 of a kilometer?\nAnswer: 100000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let c(t) = -200*t - 89002. Determine c(-445).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -230, -684, -1442, -2504, -3870?\nAnswer: -5540","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -150.9562 - -151. Round b to 2 dps.\nAnswer: 0.04","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(p) = 15*p**2 + 25*p - 11. Let x(g) = 7*g**2 + 12*g - 5. Let l(o) = -6*f(o) + 13*x(o). Give l(-6).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -1007, -3887, -8675, -15371?\nAnswer: -23975","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -146? (a) -6 (b) 4 (c) -0.5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 54 - 36. Let z be ((-12)\/x)\/(20\/(-6)). Put -2, -0.1, z in descending order.\nAnswer: z, -0.1, -2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(j) = -j**3 - 2*j**2 + j - 3. Let a be i(-3). Let n(f) = 9*f**3 - 4*f**2 + 4*f - 1. Let x be n(a). Let r = x - 73. Is r a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is one quarter of a litre in millilitres?\nAnswer: 250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let w(f) = f**3 - 3*f**2 - 2*f + 5. Let h be (-81)\/(-18) + (-2)\/4. Give w(h).\nAnswer: 13","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 12 - (2 + 2 + 3).\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve -664 = 261*y + 380 for y.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (3 - 1 - (240 - 258)) + -115 + 27.\nAnswer: -68","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -262*f - 180 = -266*f. Factor -f*x + 21*x - 4 + 30*x - 6*x**3 + 2*x**4 + 2*x**2.\nAnswer: 2*(x - 2)*(x - 1)**2*(x + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(n) = -5*n - 182. Let t(h) = -3*h - 35. Let j(l) = 11*t(l) - 2*v(l). Calculate j(-5).\nAnswer: 94","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -4*((1*((3*sqrt(1573))**2 + 1) - ((sqrt(1573)*2*3)**2 - (sqrt(1573) + -2)**2*-3)) + -2).\nAnswer: -528*sqrt(13) + 188812","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Convert -6237 (base 11) to base 14.\nAnswer: -3028","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is 1333555 + 400?\nAnswer: 1334355","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let y(h) = 4*h - 2. Suppose -4*f - 9 = -9. Let s(d) be the second derivative of 3*d + 3\/2*d**2 + f - 5\/6*d**3. Calculate 2*s(v) + 3*y(v).\nAnswer: 2*v","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let c(j) = -50*j**2 + 92*j**2 + 0 - 1 + 4*j - 43*j**2. Determine c(2).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the eighth root of 54557 to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let l(x) = -7*x**2 + 4*x**2 + 329 - 98 - 115 - 117 - x**3 - 3*x. Suppose 5*r = r - 12. Determine l(r).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -48962 divided by -12.\nAnswer: 24481\/6","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let w(s) = s**3 + 11*s - 22. Let r(o) = -4*o + 8. What is -11*r(y) - 4*w(y)?\nAnswer: -4*y**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (-3)\/(72\/(-40))*1*9. Put -1, s, -5 in descending order.\nAnswer: s, -1, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 3\/5 of a microgram in nanograms?\nAnswer: 600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*x - 3*d - 2204 = 0, -4*d - 2202 = x - 6*x. Solve 7*m - x = -414 for m.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Product of 10054488 and -0.04.\nAnswer: -402179.52","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Add -820 and 8356196.\nAnswer: 8355376","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 41\/3 + -34\/3. Let x = 37\/8 - 643\/24. Find the common denominator of k and x.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 35517 rounded to the nearest one thousand?\nAnswer: 36000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 13*t + 504 = 55*t. Suppose 0 = -3*u - 4*y - 20, -3*u - t*y + 10 = -14*y. Find s, given that 18\/7*s**3 + 48\/7*s**2 + 40\/7*s + 2\/7*s**4 + u = 0.\nAnswer: -5, -2, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 43650.97 rounded to the nearest 100?\nAnswer: 43700","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.0009442 rounded to five dps?\nAnswer: 0.00094","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Express c**2 + 3*c**3 - 20*c**2 + 0*c**3 - 20*c**2 - 22*c**2 as o*c**2 + x*c + a*c**3 + r and give a.\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let b(s) = -5*s**3 + 4*s**2 - 3*s + 2. Let q be (-21)\/(-35)*(-10)\/(-2). Let i be b(q). Let t = i + 193. Round t to the nearest 10.\nAnswer: 90","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -10*s**3 - 45129*s + 26988*s + 18141*s.\nAnswer: -10*s**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {l: 3, n: 2, t: 1, v: 10, d: 3}. Give prob of picking 1 t and 1 n.\nAnswer: 2\/171","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is 536797 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let c(f) = 4*f**2 + f + 1. Let l be ((-2)\/4)\/((-3)\/18). Let i = l + -5. Is c(i) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 8645 to the nearest integer?\nAnswer: 21","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.00063030441 rounded to seven decimal places?\nAnswer: -0.0006303","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 335 and 245?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let p(f) = 37*f**2. Let w(y) be the second derivative of -y**4\/12 + 7*y. Give w(p(t)).\nAnswer: -1369*t**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Put 0.5, 3, 8, -151 in descending order.\nAnswer: 8, 3, 0.5, -151","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) -2\/11 (b) -12 (c) -4 (d) 0.04 (e) 1\/10 (f) -6\/11 (g) 3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Convert 65077.16m to nanometers.\nAnswer: 65077160000000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) 4\/9 (b) -2 (c) 2\/3 (d) 26\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {e: 1, t: 1, j: 7}. Give prob of picking 1 e and 1 j.\nAnswer: 7\/36","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 179 is divided by 17.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: -4*3\/54*495\/(-10)\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*g + 9 = 3*z, -g - 15 = 3*g - 5*z. Suppose -x + 3*b = g, -3*x = 3*b + 2*b - 14. What is the smallest value in x, 1\/6, 0.2?\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -0.1? (a) 5 (b) -4 (c) 49581\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 413 + -353. Suppose m - 82 = -d. Calculate the remainder when 38 is divided by m.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out 115848 * 4.\nAnswer: 463392","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred millions digit of 632597620?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -22.9 in -23, -0.4, 12\/7?\nAnswer: -23","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 106*h**3 - 34*h**2 - 810*h - 5?\nAnswer: 636*h - 68","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 180549.\nAnswer: 3, 743","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -253.2328544139 + -58560.7891461661. Let d = v - -58814. Let c = -0.022 - d. What is c rounded to 7 decimal places?\nAnswer: 0.0000006","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 39*n**2 - 36*n**2 + 176*n**2.\nAnswer: 179*n**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let u(w) = -26*w - 774. Let h(l) = -39*l - 1192. Give 5*h(t) - 8*u(t).\nAnswer: 13*t + 232","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Convert 66 (base 11) to base 8.\nAnswer: 110","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let g be 1\/4 - 1\/4. Let p(k) = k**2 + k + 5. Let q be p(g). Suppose 0 = -q*v - 1 + 16. What is the units digit of v?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1 = -4*v + 4*r - 5, -3*r + 1 = -v for v.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -167\/1325064 and -61\/113984.\nAnswer: 10600512","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 661 minutes after 12:51 AM?\nAnswer: 11:52 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*w = 2*w + 2*v + 14, 3*w - 42 = -5*v. Suppose f = -0*f + w. Let r = f - 11. Is 2 a factor of r?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(g) = 3*g**3 - g**2 + 2*g - 2. Let v be k(1). Suppose 5*c = -3*l + 84, -4*c + 4*l + 2 = -78. What is the remainder when c is divided by 10 - (24\/4)\/v?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 101 divided by -99048?\nAnswer: -101\/99048","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 37\/262500 and -143\/504000?\nAnswer: 12600000","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is 1d4 - -1b?\nAnswer: 211","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -18 + 22. Suppose -u + 0*u = -k. Suppose -u*t = 3 - 71. Calculate the highest common factor of 51 and t.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*b = 2*i - 0*i + 6, -2*i - 4*b = -26. Let k(l) = 13*l + 11. Let y be k(i). Let h = y + -43. Round h to the nearest 10.\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) 0 (b) 744 (c) -2 (d) -1\/5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the ninth root of 268714599 to the nearest integer?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -7 + 4 + (42 - 45 - 11).\nAnswer: -17","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -2*a**5 + 17174546*a**4 - 3*a**3 - 3977*a**2 - 11197*a wrt a.\nAnswer: -120*a**2 + 412189104*a - 18","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*q + 29 = 4. Let v = q - 0. Let w(i) be the second derivative of i**5\/20 + 5*i**4\/12 + 5*i**2\/2 + 4*i. What is w(v)?\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence fsxx when four letters picked without replacement from sxssxissssiiisfss.\nAnswer: 1\/2856","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let g(f) = -f**2 + 4*f - 3. Let l be g(2). Suppose j + l = 20. What is the tens digit of j?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 61*x = 4*x + 127965. Does 28 divide x?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 19, 40, 67, 100, 139, 184?\nAnswer: 235","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*r = 2*r - 3. Let w be (r\/(-2))\/((-21)\/(-28)). Solve 4*x + 21 = -3*v - w*v, 3*v - x = -16 for v.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -87*n - 196 = -892 for n.\nAnswer: 8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: How many kilograms are there in three tenths of a tonne?\nAnswer: 300","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is -50.02504495 rounded to 3 decimal places?\nAnswer: -50.025","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve -23*n + 95 - 49 = 0 for n.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: How many centimeters are there in 3\/8 of a kilometer?\nAnswer: 37500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let k(d) = d**3 + 5*d**2 - 8*d - 8. Let o be k(-6). Suppose -2*f + o*w + 16 = -w, 0 = -f + 3*w + 10. What is the units digit of -1*3 - (f + -2)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -20461 - -42061\/2. Let d = l + -569. Let t = -0.9 + -11.1. Which is bigger: t or d?\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -223*f = -397 - 117 - 155. Let x be 0\/(-1*(4 - 3)). Solve -3*k = -4*l - f - 0, x = -3*l + 2*k - 1 for l.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 44295*a**4 + 837*a**3*n - 13*a**2 - 130681*a*n - 5 wrt a.\nAnswer: 1063080*a + 5022*n","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) 2\/803 (b) -0.3 (c) -7\/8\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 1\/5*k**3 + 10*k**2 + 377\/5*k - 6728\/5 = 0. Calculate k.\nAnswer: -29, 8","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 122, 261, 410, 569, 738, 917?\nAnswer: 1106","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 8*v*z**2 - 1001*v*z - 41448784*v - 3137*z**2 - 2*z - 4 wrt z.\nAnswer: 16*v*z - 1001*v - 6274*z - 2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -1395, -1365, -1335, -1305, -1275, -1245?\nAnswer: -1215","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1\/3, -0.8, -0.05 in increasing order.\nAnswer: -0.8, -0.05, 1\/3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve 51*j + 538*j = -671*j - 45360 for j.\nAnswer: -36","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 911077 or -2?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*b - 5*d + 32 = 0, -98 = 5*b - 5*d + 12. Let z be 8 - -1 - 5 - b\/(-8). Factor 3\/4*o**2 + z - 3\/2*o.\nAnswer: 3*(o - 1)**2\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 26218, 53037, 79856?\nAnswer: 106675","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.57651 rounded to 3 dps?\nAnswer: -0.577","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is -76da7 (base 15) in base 3?\nAnswer: -201012010011","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Does 1886 divide 1083516430?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 7948?\nAnswer: 2, 1987","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0 + 0 - 3*o**2)*(-2*o + 0*o - o)*(-1 + 3 - 1).\nAnswer: 9*o**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -1241938*f**3*j**2 - 245*f**3 + 4*f*j**2 + 23966 wrt j.\nAnswer: -2483876*f**3*j + 8*f*j","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*k - 2*z = 46 + 25, -79 = -5*k - 2*z. Suppose -3*t + 3 = k. Let s = -8 - -6. Put t, 2, s in descending order.\nAnswer: 2, s, t","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 10 divide 447?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*i + 324 = 13*h - 11*h, 54 = i - 5*h. Calculate the common denominator of -7\/876 and (i\/20)\/16*670\/18.\nAnswer: 2628","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7*u + 5 = -2*u, 2*u + 28 = -3*w. Let d = w + 24. What is the highest common divisor of d and 14?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 4 - 1. Suppose -4*c - n = -c. What is the units digit of c - (0 - 4)*2?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -2*x - x - 1 + 4*x - 4*x in the form j*x + k and give j.\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Total of -0.1 and -677.\nAnswer: -677.1","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Add 35722082721 and -586.3.\nAnswer: 35722082134.7","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*x = -4*g + 29, -g = 3*g + 2*x - 26. Let b(o) = o**2 - 1. Let t(m) = -8*m**2 + 4. Calculate g*b(w) + t(w).\nAnswer: -2*w**2 - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve 109*i = 110*i - 5*y - 22, -2*i = y for i.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is -1251 - 0?\nAnswer: -1251","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let p(c) = -3223*c - 871. What is the tens digit of p(-5)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(j) = j**3 - 2*j**2 - 2*j - 1. Suppose 0 = -2*k + 4 - 0. Calculate i(k).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 18526 and 61950.\nAnswer: 118","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (21\/(-9) + 2)*-15. Solve -o = -2*g + 6*g + 3*i, -3*i = -5*g - 40 for g.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*w = -25, 0*j + 4*j = w + 1137. Suppose 5*l - 4*i + 0*i = j, 0 = -4*l - 5*i + 210. Does 16 divide l?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(i) = 2*i**2 - 48*i - 24. Let x be r(24). Let s = 883 - x. Is s prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 o, 1 u, 1 c, and 1 m when four letters picked without replacement from cmucocummac?\nAnswer: 4\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -18 + 21. Calculate the remainder when (276\/(-4) + v)*(-2)\/6 is divided by 5.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 56 (base 16) in base 9?\nAnswer: 105","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let x(i) = -i**2 + 12*i - 18. Suppose 34*m - 9 = 33*m. Let p be x(m). Let w = p + 31. What is the remainder when w is divided by 21?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(w) = 182*w**2 + 5449*w + 253. What is q(-30)?\nAnswer: 583","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0.085 - 20.\nAnswer: -19.915","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 527.211 + 2.37313.\nAnswer: 529.58413","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -61\/1325002 and -24\/1519.\nAnswer: 9275014","meta":{"dup_signals":{},"source":"numbers__lcm_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: Expand (0*v**3 - 4*v**3 + 6*v**3)*(26*v - 16*v + 46*v)*(4 - 2 - 4).\nAnswer: -224*v**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 1\/22498 + -20225711\/202482. Let l = d + 100. Let u = 0.8 + -1. Sort 1\/8, u, l in decreasing order.\nAnswer: 1\/8, l, u","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -5*y + 4*g + 2755, 0 = 12*g - 7*g. Is y a multiple of 19?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*r + 20255 - 20297 = 0 for r.\nAnswer: 14","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let l(h) = h**3 - 5*h**2 - 53*h + 3. What is l(-5)?\nAnswer: 18","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Put together 134744 and -1978155.\nAnswer: -1843411","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 8305997?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -524 - -660. What is the greatest common factor of 102 and x?\nAnswer: 34","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many milligrams are there in seven quarters of a gram?\nAnswer: 1750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -718*d + 718*d - 2*d**3.\nAnswer: -2*d**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -109\/3 + 37. Factor -k*a - a**2 + 0.\nAnswer: -a*(3*a + 2)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*i = -0*i. Suppose -5*r + 11 = -m, -3*r = -2*m - i*m - 8. Calculate the smallest common multiple of 11 and r.\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 68*u = -598*u - 666. Let t(w) = w**3 + 5*w**2 - 9*w - 5. Let p be t(-6). Sort p, -3, 0, u.\nAnswer: -3, u, 0, p","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -141428, -141389, -141302, -141143, -140888, -140513, -139994, -139307?\nAnswer: -138428","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve j + 14 = -o + 4, -5*j + o + 113 - 219 = -116 for j.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let w(r) = r**2 - 5*r + 21. Let t = 169 + -162. Let b be w(t). What is the greatest common divisor of b and 105?\nAnswer: 35","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 527523.\nAnswer: 3, 101, 1741","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 604559896 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: Simplify a**(-5)*a**(-7)*(a\/a**(-1))**(-47)*(a**1)**(-20)\/(a**5*((a\/((a\/((a**(-2\/13)*a*a*a)\/a))\/a))\/a)\/a) assuming a is positive.\nAnswer: a**(-1714\/13)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 509178?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (p**(2\/55)*p*p**(-44))\/(p**(-17)\/p*p**16) assuming p is positive.\nAnswer: p**(-2253\/55)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*l + 2*s = 244, -l + 8 + 53 = 5*s. Let n = 86 - l. Solve w = 6*w - n for w.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -1193*y + 4825*y - 1201*y - 1197*y - 1206*y.\nAnswer: 28*y","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let c(r) = r**2 + 3*r - 1. Let x be c(-4). Let y = -3 - -5. Let q = y + -2.3. What is the closest to 0.1 in -0.2, q, x?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is 12d488 + 4?\nAnswer: 12d48c","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 160 and 560?\nAnswer: 80","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let v(w) = -19*w - 5. Let z(g) = -5*g - 1. Let y(f) = -f**3 - 5*f**2 - f - 3. Let k be y(-5). Calculate k*v(n) - 9*z(n).\nAnswer: 7*n - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Round -37327.5898 to the nearest one thousand.\nAnswer: -37000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let z(g) = 6*g + 11 - 7*g - 3. Let p be z(11). Does 10 divide (-8)\/(-4) + 28 + p?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) -1 (b) 68.4 (c) 0.2 (d) 0.1 (e) 2\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 548 divided by 2940.\nAnswer: 137\/735","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (2\/(-5))\/(1\/5). Is 7 a factor of x - (-3 + 3 - 10)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 555 is divided by 70?\nAnswer: 65","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*p = -480 + 452 for p.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence rx when two letters picked without replacement from aahahrharahaxaa.\nAnswer: 1\/105","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of 92, 163, 264, 401, 580?\n\"Answer: j**3 + 9*j**2 + 37*j + 45","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Work out 13.13049 + -445.\nAnswer: -431.86951","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -w + 22 + 58 + 43 = 0. Let h be -1 + (5 - 1) - 4. Calculate the remainder when w is divided by (-2 + h)*-1*7.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of 13, 25, 51, 97, 169, 273, 415, 601?\n\"Answer: s**3 + s**2 + 2*s + 9","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let n(g) = 3*g**2 - 45*g - 41. Let w be n(21). Let s = 709 - w. What are the prime factors of s?\nAnswer: 2, 3, 31","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth root of 3466546 to the nearest integer?\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 0 + (sqrt(3) + (-2*sqrt(9))\/sqrt(3) - (sqrt(33)*2)\/sqrt(11)) - ((-2*(sqrt(3) - (2 + sqrt(3))))**2 - (sqrt(3) + 0 + sqrt(3) + 1)).\nAnswer: -15 - sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence qrrq when four letters picked without replacement from rrqqhrrqqrhqkrrr.\nAnswer: 1\/39","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 194 minutes before 1:45 AM?\nAnswer: 10:31 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -15*a**2 - 33*a**2 - 36*a**2 + 10*a**2 to the form i*a**2 + r*a + s and give i.\nAnswer: -74","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (j\/j**(-17\/5))\/(j\/(j\/(j*j\/(j*j**(-2\/77)))*j)) assuming j is positive.\nAnswer: j**(1684\/385)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 54\/12 + -5 + 5\/(-2).\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 156 is divided by 3.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (a*((a\/(a*a\/(a*a**(2\/91)*a)))\/a)\/a)\/a**(7\/8) assuming a is positive.\nAnswer: a**(-621\/728)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 187864?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let z(t) = t + 5. Let c(i) = 2. Let y(v) = 5*c(v) - 2*z(v). Let u(j) = -j. What is y(u(n))?\nAnswer: 2*n","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -3*n + 2*i + 5, 23*n + i + 3 = 24*n for n.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((n\/n**(13\/4))\/(n\/((n**9*n)\/n))*(n**(-4\/5)*n)\/(n*n*n**(-2\/23)*n*n))**(11\/5) assuming n is positive.\nAnswer: n**(10307\/2300)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (0 - (7 + -4 + -13)) + 12.\nAnswer: 22","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -59\/291 and 149\/6.\nAnswer: 582","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*u - 11962 = i, 3*u + 2*i - 5976 = 5*u. Round u to the nearest one hundred.\nAnswer: -3000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -25*p + 41*p - 39*p + 267*p to the form w + y*p and give y.\nAnswer: 244","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -22\/153 or -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: How many months are there in 5\/24 of a century?\nAnswer: 250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let y be -5 + (200\/(-30))\/(2\/(-3)). Suppose 2*g + q = -3*g + 805, g + y*q = 137. Calculate the remainder when g is divided by 33.\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 2*c - 11*c**2 + 11*c**2 + 2*c + 10*c**4 wrt c.\nAnswer: 120*c**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(y) = 17084*y - 683777. Determine h(40).\nAnswer: -417","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let l(b) = -4*b**2 + 8*b + 8. Let p(t) = -t**2 + t + 1. What is l(k) - 8*p(k)?\nAnswer: 4*k**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: ((-3)\/189)\/((-33)\/15*-230*76\/(-20976))\nAnswer: 2\/231","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*n + 4*o = 7*o - 20, n = o. Factor -6*c**3 - 3\/2*c**n - 9*c**2 - 6*c - 3\/2.\nAnswer: -3*(c + 1)**4\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -33474, -66995, -100516?\nAnswer: -134037","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {l: 4, o: 12, j: 4}. What is prob of sequence jl?\nAnswer: 4\/95","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -12 in 1, 125\/9, 13.1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 39\/4 and -21\/1266530.\nAnswer: 2533060","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let m(q) = q - 6. Let a be ((-2)\/5)\/(2\/(-90)). Suppose 0*k + a = 2*k. What is the units digit of m(k)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*m = -2*f + 140 + 36, -2*f - 196 = -3*m. What is the units digit of m?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.000322162173 rounded to 6 decimal places?\nAnswer: -0.000322","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -35*o**2 + 5 + 11 - 2*o + 31 + 15.\nAnswer: -35*o**2 - 2*o + 62","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let v(l) be the first derivative of -17*l**5 + 0*l**4 + 0*l + 109\/2*l**2 - 165 + 0*l**3. Find the second derivative of v(c) wrt c.\nAnswer: -1020*c**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 307689\/4 + -77372. Let i = a + 454. Calculate the common denominator of 33\/23 and i.\nAnswer: 92","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(c) be the second derivative of -c**3\/6 - 92*c**2 + 12*c - 40. Let p(w) = -2*w. Calculate x(p(v)).\nAnswer: 2*v - 184","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from tvqqth. What is prob of picking 1 q and 2 t?\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is 40149 <= 40149?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 12835659 is divided by 184.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is (-711)\/316 + 22\/(-8)?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 13863?\nAnswer: 3, 4621","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let y(z) = z**2 - 16*z + 3. Suppose -31*i - 2376 + 2686 = 0. Give y(i).\nAnswer: -57","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 13*j + 2 + 17*j**2 + 15*j**3 - 54*j**3 + 17*j**3 + 25*j**3 - 18*j**2 to the form n*j**2 + y*j**3 + x*j + t and give x.\nAnswer: 13","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 477 divided by -1?\nAnswer: -477","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -104*p - 78 - 82 + 159.\nAnswer: -104*p - 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -2*(-2*2*sqrt(108) - ((0 + sqrt(108))*-3 + sqrt(108)))**2.\nAnswer: -864","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there in ten ninths of a day?\nAnswer: 1600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -71, -140, -209, -278?\nAnswer: -347","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1, 278, -4 in decreasing order.\nAnswer: 278, 1, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 4.02 - 4. Let u = 0 - q. Are 1\/4 and u equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(t) = -7*t. Let d(g) = -7*g. What is -6*d(c) + 7*n(c)?\nAnswer: -7*c","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 113\/40 and (31\/50)\/(4\/5).\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 332 minutes after 11:46 PM?\nAnswer: 5:18 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Determine q so that -q**2\/4 - 34*q - 2223\/4 = 0.\nAnswer: -117, -19","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 215661 is divided by 306.\nAnswer: 237","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is 54907 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -4153529*k**2 + 5987*k + 197 wrt k?\nAnswer: -8307058","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*x + 3*m + 15 = -3, 15 = 3*x - 3*m. Suppose -2*r + 2*l = x*l - 13, 5*l = r - 1. Suppose 0 = -0*j + r*j - 312. What is the units digit of j?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 2271273581 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let h(l) = l. Let b(i) = 7*i + 7. Let f(j) = 7*j + 6. Let w(a) = 6*b(a) - 7*f(a). Determine h(w(m)).\nAnswer: -7*m","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is -3344\/5 bigger than -668?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-1)\/2)\/1*4\/8.\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let h(l) = -l**3 - 11*l**2 - 5*l - 26. Calculate h(-11).\nAnswer: 29","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in 0.127, 9, -1\/19, 69?\nAnswer: 69","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let a(u) = u**2 + 14*u + 6. Let v be a(-12). Suppose 5*j = -2*f - 32, 4*j + 2*f + 3 + 23 = 0. List the prime factors of v\/(-15)*(-140)\/j.\nAnswer: 2, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -44*o**2 - 10573*o**4 - 66*o + 2 + 9007*o**4 + 48*o**2 wrt o.\nAnswer: -37584*o","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) -0.4 (b) 13.4 (c) 238827 (d) 5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3899295*s + 157 = -c + 3899298*s, 0 = -5*s + 260 for c.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose u + m - 23 = -3*u, 0 = 2*m - 6. Is 10 a factor of (60\/9)\/(u\/15)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6 = -3*l, -4*g - 37*l = -38*l - 58. Solve -g = -2*w - 23 for w.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(m) = m**3 + 16*m**2 + 56*m + 189. Calculate the least common multiple of c(-9) and 280.\nAnswer: 2520","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -5.424 - -0.424. Put -0.2, 12, a, 4 in descending order.\nAnswer: 12, 4, -0.2, a","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -11 - -11. Let c be (-4 - (-2)\/(-3)) + 4. What is the nearest to d in -0.3, 2\/7, c?\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(z) = 10*z**3 - 239*z**2 + 682*z - 16969. Give n(24).\nAnswer: -25","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Does 7 divide 1549254?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 n when two letters picked without replacement from {w: 1, c: 10, n: 7}?\nAnswer: 7\/51","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (-20)\/50 + (-1676)\/10. Let i be 24\/h*(0 - -1). Which is the closest to -0.4? (a) i (b) 1\/7 (c) 4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(q) be the third derivative of -q**8\/1176 + 13*q**7\/735 - 13*q**6\/140 - 41*q**5\/210 + 38*q**4\/21 - 4*q**3 + 4976*q**2. Solve y(t) = 0.\nAnswer: -2, 1, 6, 7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 100001 (base 2) to base 13.\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let h(v) be the first derivative of -v**4\/4 + 2*v**3 - 5*v**2\/2 - v - 3794. Suppose -4*l + p = -3*l, -3*l + 24 = 3*p. Determine h(l).\nAnswer: 11","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f be ((-21)\/9 - -2)*-9. Suppose -2*m + 5*m - f = 0. What is the first derivative of m - l**2 + 2*l**2 - 3 wrt l?\nAnswer: 2*l","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 25969319 a multiple of 296?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve 24*y + 146 = 26 for y.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let p(r) be the second derivative of -4*r + 0 + 1\/80*r**5 + 1\/48*r**4 + 0*r**2 - 1\/24*r**3 - 1\/120*r**6. Factor p(t).\nAnswer: -t*(t - 1)**2*(t + 1)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence cc when two letters picked without replacement from nccdnnnnnnonn?\nAnswer: 1\/78","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose h = -2*h + 36. What are the prime factors of h?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify t**30\/(t\/t**(-27))*t**(3\/17)\/(t**23\/t) assuming t is positive.\nAnswer: t**(-337\/17)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 943794*9.\nAnswer: 8494146","meta":{"dup_signals":{},"source":"arithmetic__mul_test"},"subset":"dm_maths"} +{"text":"Question: Let w = 8.74 + -13.74. What is the nearest to w in 4, 0.1, 0.4?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 627*k**3 - 629*k**3 - 6*k**2 + 3 - 8 - 4*k**4 in the form m*k**2 + q*k**4 + l + w*k**3 + c*k and give l.\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let g(r) = r + 12. Let n be (10 + -17)\/(0 - -1). Let y be g(n). Suppose 0*a - y*a = -190. What is the tens digit of a?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 34804?\nAnswer: 2, 7, 11, 113","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1\/2, 2, 7, -3\/4, 0.25 in descending order.\nAnswer: 7, 2, 1\/2, 0.25, -3\/4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let b(k) = k**2 + 8*k + 1. Let n be b(-8). Let c be (10 - 9)\/(n\/2). Let o be (-65)\/(-25) + (-4)\/(-10). Solve -3 = m - c*m + 5*q, m + q = o for m.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -73\/479928 and -23\/79988.\nAnswer: 479928","meta":{"dup_signals":{},"source":"numbers__lcm_test"},"subset":"dm_maths"} +{"text":"Question: Let w = -228.6 + -786.4. Sort 0.2, 4, w in descending order.\nAnswer: 4, 0.2, w","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: -413 * -232.1\nAnswer: 95857.3","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 1 in 3\/4, 5, 1\/8, 7.19?\nAnswer: 3\/4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is -7279320 + 4?\nAnswer: -7279319","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (0 - 1*-130) + -2. Calculate the highest common divisor of 16 and g.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from ifgjd. What is prob of picking 2 j?\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let m be 1\/2*(-630)\/(-15). Suppose 0 = -0*q - q + m. Is (-6)\/q - 2925\/(-21) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is -402 - -1260633?\nAnswer: 1260231","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -27884 divided by 827.\nAnswer: -27884\/827","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Put 1, -5, 4, -71, 5, 35, 31 in decreasing order.\nAnswer: 35, 31, 5, 4, 1, -5, -71","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-517*v - 6 + 498*v + 16)*(0 - 14 + 55)*(1 - 1 - 1).\nAnswer: 779*v - 410","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let m(y) = y**3 - 11*y**2 + 4*y - 21. Let g be m(11). Let a be g\/48 + 4\/(-6). Is -1 at least a?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (54*t**2 + 583*t**2 + 128*t**2)*((-4*t + 2*t + 0*t)*(-2*t**2 + 0 + 0) + 4*t**3 - t**3 - t**3).\nAnswer: 4590*t**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let k(y) = 15*y**2 - 10*y - 93. What is the remainder when k(-6) is divided by 10?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 3882?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -1.6 + 2.2. Let i = v - 0.9. Sort -2\/13, i, -4.\nAnswer: -4, i, -2\/13","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 30684955?\nAnswer: 5, 7, 313, 2801","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is 321 - 12?\nAnswer: 307","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: How many micrograms are there in 362.2383 milligrams?\nAnswer: 362238.3","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.0027480636 rounded to 6 decimal places?\nAnswer: -0.002748","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence nnyy when four letters picked without replacement from kkkkkykkkkkknyyykny?\nAnswer: 5\/11628","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 611 minutes before 1:36 AM?\nAnswer: 3:25 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between -0.1 and -5.956478348?\nAnswer: 5.856478348","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*l = 2*u - 6, 0*u - 2*l = -u + 4. Calculate the least common multiple of 6 and u.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 168*w - 154 = 161*w. Solve 6*g - 4 = -w for g.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -165 by 33.\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let v(r) = -2*r + 8 - r + 4*r**2 + 5*r + r**3 - 2. Let z be v(-4). Let c = -64\/3 - -22. What is the nearest to 1 in z, c, -2\/3?\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -3 + 27126\/847 + -29?\nAnswer: 2\/77","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 650155.1ml to litres.\nAnswer: 650.1551","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -1 - 0 - (-10 + -3 - -8)?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2356*u = 2407*u - 663 for u.\nAnswer: 13","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -3.1 + -33.9. Let o = -63 - y. Which is the biggest value? (a) o (b) 4 (c) 5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {d: 6, l: 9, e: 2}. Give prob of sequence dle.\nAnswer: 9\/340","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: -1021012 (base 3) to base 9\nAnswer: -1235","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 12359177 + 33209823. What is o rounded to the nearest 1000000?\nAnswer: 46000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -3.9 + 3. Let r = k - 0.1. Let g = 4.99 + 0.01. What is the closest to r in -3\/5, g, -0.3?\nAnswer: -3\/5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let -3*i**5 + 648*i**4 - 36585*i**3 - 433188*i**2 + 57725136*i + 176033088 = 0. Calculate i.\nAnswer: -33, -3, 84","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((p*p**(-25)*(p**17\/p)\/p)\/(p**(4\/7))**35)**(-5) assuming p is positive.\nAnswer: p**145","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let p(s) = -16*s - 16. What is p(-6)?\nAnswer: 80","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 20202110011 (base 3) in base 15?\nAnswer: 29621","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (-161)\/(-35) + (-2)\/(-5). Suppose -z = 2*a, -5*a = -a + w*z. Find the third derivative of 0*l**2 + 8*l**2 + 6*l**4 + a*l**2 wrt l.\nAnswer: 144*l","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1592 to the power of 1\/2, to the nearest integer?\nAnswer: 40","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 4078 - 4092. Sort i, -5, 0, 5.\nAnswer: i, -5, 0, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 136053535 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -30035*d**4 + 80*d**2 + 16902440 wrt d.\nAnswer: -120140*d**3 + 160*d","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -77\/44690 and 123\/20.\nAnswer: 89380","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 1577, 3521, 5469, 7421?\nAnswer: 9377","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let r(c) = c**3 - 6*c**2 + 6*c + 1. Let o(i) = i**2 - 4*i + 5. Let p(z) = -z**3 + 9*z**2 - 9*z + 12. Let m be p(8). Let j be o(m). Does 6 divide r(j)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(g) = 657826*g. Let m(x) = 318*x**2. What is r(m(y))?\nAnswer: 209188668*y**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {s: 3, u: 2, x: 9, h: 3, k: 1, c: 1}. What is prob of sequence hucu?\nAnswer: 1\/15504","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 98\/42*(-8)\/(-28).\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let g(i) be the third derivative of i**6\/80 + 949*i**5\/40 - 475*i**4\/8 - 8631*i**2. What is p in g(p) = 0?\nAnswer: -950, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -x + 34 = -h, -3*x + 83 + 39 = 2*h. Suppose -5*m - 4*z + 72 = 0, 0*m - 3*z = -2*m + x. What is the highest common factor of 40 and m?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*h - n + 3*n = -206, 5*h + 3*n - 337 = 0. Suppose 179*k = 64*k + 31280. Calculate the greatest common factor of k and h.\nAnswer: 68","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth root of 2958266 to the nearest integer?\nAnswer: 20","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 0.05 + -0.05. Let h = 0.05 - o. Let d = h + -0.050032. Round d to 5 decimal places.\nAnswer: -0.00003","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(u) = -2*u**2 + u - 2. Let o = 13 + -9. Suppose -o*n + 2*v - 8 = 0, v - 8 = 4*n - 4*v. Let p(d) = -6*d**2 + 4*d - 7. Calculate n*p(g) + 7*c(g).\nAnswer: -2*g**2 - g","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*b + 5*w - 4*w = 11, 4*w = 4*b - 28. Let c(l) = 6*l + 18. Let q(o) = -8*o - 25. Let u(s) = 7*c(s) + 5*q(s). Give u(b).\nAnswer: 13","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out 6113 * -0.013165.\nAnswer: -80.477645","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-177)\/130095*21)\/(6\/(-28))?\nAnswer: 2\/15","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let z(r) = -3*r - 32. Determine z(-14).\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5296*w + 2389*w + 2646*w - 29860 = -153832 for w.\nAnswer: -12","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 5640 and 30.\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let p(h) = 3*h**3 + 8*h**2 + 2*h + 10. Let v be p(-7). Let g = 911 + v. Round g to the nearest one hundred.\nAnswer: 300","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 9.18205 to one dp.\nAnswer: 9.2","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -17*g - 305 = -3*g - 1173. Calculate the greatest common factor of 86 and g.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 49*d - 53*d + 8 = 0. List the prime factors of d.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*v**2 - 1415480*v - 100179181520 = 0.\nAnswer: -141548","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 37 + 3. Let a = 41 - y. Is a >= -1\/17?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of -21952, -43882, -65812, -87742?\n\"Answer: -21930*a - 22","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 66 is divided by 12.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (5 + 0 + -1*(sqrt(72) + 1) + sqrt(72) + (sqrt(8) + -5 - sqrt(14)\/sqrt(7)*2) + -3)**2.\nAnswer: 16","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -c**2 - 146*c**4 + 15*c**4 - 11*c**4 + 3*c**2 + 5*c - 49*c**4 to h*c**2 + q*c**3 + w + p*c**4 + u*c and give h.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {x: 4, e: 6, y: 1, f: 3}. Give prob of picking 2 x and 1 e.\nAnswer: 9\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 26 - 14. Let f = k + -27. Let x = f + 13.68. Round x to 1 decimal place.\nAnswer: -1.3","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (79 - 69)\/((-164)\/(-28) - 5)?\nAnswer: 35\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 14621089.\nAnswer: 7, 19, 47, 2339","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: 1fc4 (base 16) to base 15\nAnswer: 2622","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 4.3 and -2.12.\nAnswer: -9.116","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between 3.6 and -844?\nAnswer: 847.6","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -5326 + 14703. Is q a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (29\/(-4))\/(2\/(-72)). Let u = p + -150. Is u a multiple of 3?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 37184 and 80?\nAnswer: 185920","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) 5 (b) 2 (c) 1\/3 (d) -6\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 14 + 0 + (-28 - 3) + -16.\nAnswer: -33","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 208?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -538 - -745. Is (-7998)\/(-4)*138\/c a multiple of 43?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 7 - 5.5. Let i = k - 5.5. What is the third biggest value in 3, i, 4?\nAnswer: i","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(i) be the second derivative of i**3\/6 + 3*i**2 - 41*i - 1. Suppose 0 = 3*a - a + 10. Calculate n(a).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 0 or 17.341394?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is 171851 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {y: 7, r: 5, a: 8}. What is prob of picking 3 r?\nAnswer: 1\/114","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:34 PM and 7:13 AM?\nAnswer: 699","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -33\/8 in 0.5, 2\/19, 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1707708 is divided by 7868.\nAnswer: 352","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -91\/40 - -12\/5. Let d = g - -3\/8. What is the nearest to d in 2, -0.4, -5?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 f and 1 t when two letters picked without replacement from {w: 2, z: 3, y: 2, f: 1, k: 3, t: 3}?\nAnswer: 3\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 389*q - 1220 = 84*q. Put -223, -5, q, -3 in ascending order.\nAnswer: -223, -5, -3, q","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 32387*h**4 - 32387*h**4 + 509*h**5 + (4*h - h**2 - 4*h)*(-h**3 + h**3 + 3*h**3) + 3*h**4 - 3*h**4 + h**5.\nAnswer: 507*h**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of 323, 1208, 2681, 4748, 7415, 10688, 14573?\n\"Answer: c**3 + 288*c**2 + 14*c + 20","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(21)\/(6*(sqrt(3) + (sqrt(3) - sqrt(12) - sqrt(3)) - sqrt(3) - sqrt(3))).\nAnswer: -sqrt(7)\/18","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -4106 - -4105. Which is the nearest to x? (a) 9 (b) -2\/13 (c) 12\/7\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Subtract 4 from -92.66.\nAnswer: -96.66","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is -200320 rounded to the nearest 1000?\nAnswer: -200000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is -31 minus 799532?\nAnswer: -799563","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 52965.9031 rounded to the nearest one hundred?\nAnswer: 53000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 10440 + -10439.9550355. Let l = j + -0.045. Round l to 6 decimal places.\nAnswer: -0.000036","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = c - 5*l - 0*l - 1, 0 = -3*c + 5*l + 13. Let w be 942\/(c*2\/200). What is w rounded to the nearest 1000?\nAnswer: 16000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 101448890 divided by 5?\nAnswer: 20289778","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 48897595 to the nearest integer?\nAnswer: 366","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -18*w**5 + w**4 + 16156*w**3 - 2318244*w**2.\nAnswer: -1080*w**2 + 24*w + 96936","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*n = 12 - 2. Suppose -3*w - 2*d = -12, 27 = w + n*w - 3*d. Differentiate -5 + 2 + w*m - m with respect to m.\nAnswer: 5","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(c) = -c**2 - 9*c - 11. Determine i(-8).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2 + 4 - 6 + 5*n.\nAnswer: 5*n","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: -0.02 times -519\nAnswer: 10.38","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((((b\/b**(-2\/5))\/b)\/b**(1\/5))\/((b*b*b**(4\/7))\/b**(-2\/7)))\/((((b**(-5)\/b)\/b)\/(b\/b**(-4)))\/(b*b**(1\/2))**27) assuming b is positive.\nAnswer: b**(3489\/70)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 89934987\/44666 - -2\/22333. Let t = -2012 + a. Let t*r**2 + 3\/4*r**3 - 3\/4*r - 3\/2 = 0. What is r?\nAnswer: -2, -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(m) = 2*m - 1. Let s be ((-6)\/(-5))\/((-2)\/(-5)). Give c(s).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is 1 - 82d037?\nAnswer: -82d036","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is -731 + -7?\nAnswer: -740","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 1\/(-14)*2*(-3437)\/(-491).\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the ninth root of 115517 to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -62, -131, -204, -281, -362, -447?\nAnswer: -536","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.000005235419 rounded to six dps?\nAnswer: -0.000005","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-2)\/6*90\/10.\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is 35 a factor of 70678?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 2836241, 22689975, 76578673, 181519817, 354530889?\nAnswer: 612629371","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: How many nanograms are there in 2.31239mg?\nAnswer: 2312390","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let k be 4\/(-24)*3*-6. Solve -2*g + k = 5 for g.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 246 minutes before 5:59 AM?\nAnswer: 1:53 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is 78374764 a multiple of 26?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -0.933 - -35.633. Let g = 22278150 - 22278184.700654. Let n = g + k. Round n to 4 dps.\nAnswer: -0.0007","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 45436 and 88948?\nAnswer: 148","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -271 + 271.5. Let i = -2.98 - 0.02. Let l = i + 1. What is the nearest to -2 in l, -0.1, w?\nAnswer: l","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 25 = -5*t - 3*y, -4*y = 4*t - 3*t + 5 for t.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 42190 is divided by 105?\nAnswer: 85","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -2\/5? (a) 0.4 (b) -5 (c) -77 (d) -0.0242 (e) 4\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 5 minus -126165391900754?\nAnswer: 126165391900759","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 5 and 103585?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -10 + 9.4. Let g = 0.9 + m. Sort g, 5, -4.\nAnswer: -4, g, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 37350 divided by -6?\nAnswer: -6225","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-4*t - t + 3*t)*(t - t - 3*t) + (31 - 31 - 7*t)*(0*t - 5*t + 2*t) to j*t**2 + f*t + s and give j.\nAnswer: 27","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let y(s) = s**3 - 14*s**2 + 13*s + 11. Let t be y(13). Suppose t*k - 56 = 4*k. Solve -k*l = -3*l for l.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 80*p + 8129 - 9809 = 0 for p.\nAnswer: 21","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let l(k) = -16*k**3 + 31*k**2 + 31*k + 21. Let j(i) = -3*i**3 + 6*i**2 + 6*i + 4. Let h(g) = 11*j(g) - 2*l(g). Let b be (-90)\/135 - 34\/(-6). Calculate h(b).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is fifty-five halves of a litre in millilitres?\nAnswer: 27500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 20509408.\nAnswer: 2, 640919","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between 0.05 and 10.33937?\nAnswer: 10.28937","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Convert -40960 (base 10) to base 6.\nAnswer: -513344","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 y, 2 b, and 1 t when four letters picked without replacement from yoygyoybbtoytoyt.\nAnswer: 9\/910","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (3*((-7)\/5 + 1))\/(262\/3275).\nAnswer: -15","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from dudzzudddzuzddzlddz. Give prob of picking 3 z.\nAnswer: 20\/969","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Find c, given that -16*c**2 - 36468*c - 3528360 = 0.\nAnswer: -2178, -405\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-1*sqrt(35)*-1)\/(sqrt(500)*1))**2 + -4.\nAnswer: -393\/100","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 2259279?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -1.4 - 10.6. Let w = t + 14. Let c be ((-14)\/(-3))\/((-2)\/3). What is the smallest value in w, c, -0.1?\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1718282 is divided by 88.\nAnswer: 82","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Express (-213 - 10*g + 213)*(-6 + 6 - 3*g)*(3*g - 4*g - g + (7*g - 1 + 1)*(-1 - 4 + 3)) in the form i*g + h*g**3 + z + y*g**2 and give z.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 2929048 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: How many minutes are there between 6:34 PM and 5:18 AM?\nAnswer: 644","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let n(k) = -578 - 604 - 578 + 9*k + 1808 - 2*k**2. Calculate n(8).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 22373452297 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -96688*f*k**2 + 1643*f*k + 5*f + 2*k**2 + 5*k wrt k?\nAnswer: -193376*f + 4","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 21573?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 224 - 157. Let j = w - 15. Suppose -4*a + j = -2*a. Calculate the remainder when a is divided by 9.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 11988745 and 3335.\nAnswer: 145","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let j(o) = -2*o**3 + 14*o**2 + 5*o + 7. Let w be j(8). Let i = w - -81. Which is the second smallest value? (a) 13 (b) -0.1 (c) i (d) 5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 17214 - 17224. Let p(w) = 8*w - 8*w**2 - w**3 - w**2 - 7 - 2. What is p(h)?\nAnswer: 11","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*j**2\/5 - 166*j - 832\/5.\nAnswer: 2*(j - 416)*(j + 1)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:10 AM and 10:54 AM?\nAnswer: 344","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let x(k) = -k**4 + k**3 + 3*k**2 + k - 1. Let w(c) = 8*c**4 + 21*c**3 + 273*c**2 + 1365*c + 2408. Let v(z) = -3*w(z) - 21*x(z). Factor v(r).\nAnswer: -3*(r + 7)**4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 1950 + -342. What is the units digit of b?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.029684 rounded to 2 dps?\nAnswer: 0.03","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Convert 1.333935cm to millimeters.\nAnswer: 13.33935","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let u be 45\/(-18)*(112\/40)\/(-7). Solve -2*w = -5*l + 25, 7*l - 4*l + 2*w = -u for l.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 0.2 and -7.1?\nAnswer: -1.42","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is 361079531 a multiple of 317?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Sort 5, -29, 2832, -3 in increasing order.\nAnswer: -29, -3, 5, 2832","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve -13 = -3*w + u, -2*u + 4 + 0 = 0 for w.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 13084059\/5 or 2616813?\nAnswer: 2616813","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 6*c - 109 + 37. Let y be (-6 + -3)*(2 - 26\/c). Suppose -5\/2*d**5 + y*d**4 + 0*d + 0*d**2 + d**3 + 0 = 0. What is d?\nAnswer: -2\/5, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*j - 262 = -u + 103, 0 = -5*u - 2*j + 1879. Suppose 143*a - 1595 = 88*a. Calculate the greatest common factor of u and a.\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put together -247.67 and 0.056.\nAnswer: -247.614","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Subtract -227 from -1657357.81.\nAnswer: -1657130.81","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Put 5, 1, -7 in decreasing order.\nAnswer: 5, 1, -7","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is 7171 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 12\/25 of a centimeter in micrometers?\nAnswer: 4800","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (-24)\/88*(-33)\/18. Suppose 0*d = 2*d - 4. Let 0 + 1\/4*x + 1\/4*x**3 - l*x**d = 0. Calculate x.\nAnswer: 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((3*-1*sqrt(882) - sqrt(882))*-6)\/(sqrt(81)*4 + sqrt(9) + -3*sqrt(729))*3)**2.\nAnswer: 2592","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: 328971 + 0.4\nAnswer: 328971.4","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.00002684 rounded to 7 dps?\nAnswer: 0.0000268","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in -3\/4, 12, 505, -2?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let n(m) = -m**3 - 10*m**2 + 4*m + 1. Determine n(-2).\nAnswer: -39","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -243, -377, -595, -909, -1331?\nAnswer: -1873","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 381884145.\nAnswer: 3, 5, 25458943","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 441036?\nAnswer: 2, 3, 12251","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose s + s = 14. Is s prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(p) = -p**3 - 6*p**2 + 5*p - 17. Let v be (-83)\/(-4) + (-54)\/72. Let i = -28 + v. What is the tens digit of h(i)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is 3 + -2?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Do 0.02 and -0.19195908 have different values?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let b(t) be the third derivative of t**4\/6 + t**3\/6 + 6*t**2. Calculate the remainder when 24 is divided by b(3).\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3*p + p - 2*p)*(-2*p**4 - p**2 + p**2 + (5 - p**3 - 5)*(2*p - 2*p - p) + 2*p**4 + p**2 - p**2).\nAnswer: 2*p**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 7 + -5. Let f(a) = -a**2 + 2 - z - a**2. Let g(u) = u. Calculate f(g(b)).\nAnswer: -2*b**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*j = -3*v - 17, j = 2*v + 2*v + 21. Let d = 181\/72 + -5\/36. What is the common denominator of d and 1 + (53\/(-7) - j)?\nAnswer: 56","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -1 or -24\/131?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let g(i) = -8*i**2 + 193*i - 1429. Give g(8).\nAnswer: -397","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 9084 + -15548. What is o rounded to the nearest one hundred?\nAnswer: -6500","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -3 + 2.8. Let p be ((-1)\/(-3))\/(23\/(-18)). Let x = p - -95\/276. Which is the third smallest value? (a) i (b) x (c) 4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 2 - (-21 - -5) - 10 - (-14 + -68).\nAnswer: 90","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -3*((sqrt(117) - (-2 + 2 + sqrt(117) - sqrt(117))**2) + sqrt(117) + sqrt(117)) + -4.\nAnswer: -27*sqrt(13) - 4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 205612 and 3124.\nAnswer: 44","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve -884*p = -885*p + 1 for p.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-4)\/105)\/((-758)\/5685) + (-740)\/1120?\nAnswer: -3\/8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -815*n = -2054 - 391 for n.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (8\/30)\/((-51)\/5 - (-13 - -4)). Sort -0.7, -1\/13, 1, r, 2 in ascending order.\nAnswer: -0.7, r, -1\/13, 1, 2","meta":{"dup_signals":{},"source":"comparison__sort_composed_test"},"subset":"dm_maths"} +{"text":"Question: Let k be (-1)\/((-3)\/12) + 1*3. Suppose 4*s + k + 5 = 0. List the prime factors of (s + 17)*(3 - -2).\nAnswer: 2, 5, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 17\/2 of a litre?\nAnswer: 8500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1, 7, 3, 35 in ascending order.\nAnswer: -1, 3, 7, 35","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -10.2 + 10.22. Let d = -40.02 - -39. Let u = s + d. What is the closest to 0.1 in -5, 0.3, u?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 65845 - 3950539\/60. Calculate the common denominator of k and 65\/8.\nAnswer: 120","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.00004857 rounded to 5 decimal places?\nAnswer: 0.00005","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let i(t) = -3*t**2 + 2*t - 1. Let b be 3\/(-12) + (-10)\/(-8). Let a be i(b). What are the prime factors of a*(3\/(-6) - 1)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*a + 789*m - 794*m = -19423, 5*m - 24270 = -5*a. What is the remainder when a is divided by 77?\nAnswer: 73","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((((a**(-1\/4)*a)\/a)\/a*a*a)\/a)**(-6))**(2\/59)\/(((a\/a**(-2\/7))\/a)**(-4\/3)*a**5*a**7) assuming a is positive.\nAnswer: a**(-14333\/1239)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 234503*q - 135226 wrt q.\nAnswer: 234503","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 5 + (sqrt(20) + 0)**2 + (2*(sqrt(20) + -1) - sqrt(20) - sqrt(20)) - (-2*sqrt(20)*-6 - (-2 + sqrt(180))).\nAnswer: -18*sqrt(5) + 21","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = n + n - 4. What is the third derivative of -41*m**n + m**5 + 43*m**2 + 5*m**5 wrt m?\nAnswer: 360*m**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 630237 + -630238.149866. Let g = 1.08 + 0.07. Let v = j + g. Round v to 5 dps.\nAnswer: 0.00013","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 h and 1 w when three letters picked without replacement from mwhhwwhwwhwwh.\nAnswer: 35\/143","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve -139*g + 184*g = -225 for g.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 8 and 3080.\nAnswer: 3080","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Expand 5*x**5 - 5*x**5 - x**5 - 3*x**5 + 2*x**5 + 2*x**5 + (3*x**5 - 5*x**5 + x**5)*(4 + 1 - 6) + (3*x - 3*x + 2*x)*(x**4 - 3 + 3) - 4*x**5 + 12*x**4 - 12*x**4.\nAnswer: -x**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 12 - 2. Suppose 2*n + f = 24. Is 5*4 - (n + -6) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3 + 5 - 5)*(2 - 5 + 11)*(-2*s**3 + 0*s**3 + 0*s**3).\nAnswer: 48*s**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*q + 2*z - 10 = 2, -5*q + z + 42 = 0. List the prime factors of q.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(x) = x. Let m(d) = -5*d**3 + d**2 - 2*d + 2. Let t(l) = -m(l) - o(l). Let q(a) = -a**2 + 7*a - 8. Let n be q(5). List the prime factors of t(n).\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 970?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence tjtj when four letters picked without replacement from {j: 7, t: 2}.\nAnswer: 1\/36","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let r be 8*(-4)\/(16\/(-9)). Let k = r + -8. Let c(a) = -19*a - 5. Let n be c(-5). What is the highest common factor of n and k?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((w**1*w)\/w)**4*w*w\/((w*w*w*w**(-10)*w*w*w)\/w)*w*w**(-1\/7))**(-13) assuming w is positive.\nAnswer: w**(-1079\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*y - 4*j + 396 = -2*y, 0 = -5*y + 3*j + 455. What are the prime factors of y?\nAnswer: 2, 47","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 1*1\/((-8)\/4)?\nAnswer: -1\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let s(y) = 8*y. Let l(c) = 315*c**2 - 175. Let u(g) = -35*g**2 + 20. Let f(q) = -4*l(q) - 35*u(q). What is f(s(r))?\nAnswer: -2240*r**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 824357\/8 + -103433. Suppose 114*o = 111*o + 1203. Let z = o + b. Calculate the common denominator of z and 89\/12.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 0.03 + 2.97. Let p be 4\/6*(-6)\/(-10). Which is the third smallest value? (a) p (b) l (c) 0.2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 960 a multiple of 96?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 52 and 3328.\nAnswer: 52","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let h(z) = -6*z**3 + 3*z - 3*z - 2*z**2 + 1. Suppose 0 = 2*j - 4*q + 10, 7*q - 9*q = -6. Give h(j).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*w - 0*w. Let y(h) be the second derivative of -h**3\/6 + 41*h**2\/2 - h. What is the tens digit of y(w)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-8 - 13 - 5)*((-1 + 3 + 0)*(-j + 2*j + 0*j) + 5*j - 4*j + j + 0*j - j - 6*j).\nAnswer: 78*j","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-4*c**2 + 4*c**2 + c**2)*((-2*c + c + 2*c)*(3 - 2 + 0) - 6 + 42*c - 7 + 14).\nAnswer: 43*c**3 + c**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 18 and 6368?\nAnswer: 57312","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Sort -43, 0, -1, 4, 159, -2 in ascending order.\nAnswer: -43, -2, -1, 0, 4, 159","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*w + 4*o = -48, -6*w = -2*w - 5*o - 42. Suppose -3*a + 4*s + w = -0*s, 2*a + 4*s + 8 = 0. Suppose 3*p - 4*u - 141 = -a*p, 3 = u. Is p prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(f) = -65*f + 1284. Give h(15).\nAnswer: 309","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let p(h) = 7*h**3 + 65*h**2 + 29*h + 20. What is the tens digit of p(15)?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1540861 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in -0.4, 1\/2, -1\/7, -5, -4192, 5?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (a**17*a*a**(2\/7))**(25\/3) assuming a is positive.\nAnswer: a**(3200\/21)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 146 + -122. Put 2, 12, h, 5 in decreasing order.\nAnswer: h, 12, 5, 2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 3*s**2 + s + 22 - 44 + 0*s - 23 in the form k + p*s + r*s**2 and give p.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:48 AM and 8:10 AM?\nAnswer: 322","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is 277 a factor of 609491964?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*i = 4*k - 36, 0 = -2*i - 2*i + 16. What are the prime factors of ((-59090)\/(-60) - 0) + 2\/k?\nAnswer: 5, 197","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(b) be the third derivative of b**4\/6 - b**2. Let a(r) = 7*r - 6. Let v(t) = -20*t + 17. Let l(x) = 17*a(x) + 6*v(x). Calculate j(l(p)).\nAnswer: -4*p","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Express (25 + 4797*t + t**2 - 4698*t - 23)*(-16 + 0 + 2) in the form k*t + r + x*t**2 and give r.\nAnswer: -28","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Sort 5, -2, -227, -5, -162 in decreasing order.\nAnswer: 5, -2, -5, -162, -227","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: 89.77*-32\nAnswer: -2872.64","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Do -1\/37 and 0.2 have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose u + 2*q - 3 = 0, -483*q = -478*q. Solve m = -u*m + 8 for m.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(f) = -f**2 + 8*f + 3. Let g be a(8). Suppose -t = -g*h + 2, 3*t - 3*h - 30 = -6*h. What is the greatest common divisor of t and 49?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 541881594?\nAnswer: 2, 3, 30104533","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from esqsszeszezzss. What is prob of sequence eesz?\nAnswer: 6\/1001","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is -210 plus -10?\nAnswer: -220","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let u be -2 + 226\/6 + (-2)\/(-6). What is the highest common factor of u and 9?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -109 + 194. Suppose -l = d + 119. Is (-1 + d)\/(6 + -7) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 4 a factor of 134784?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 231 minutes before 5:36 PM?\nAnswer: 1:45 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: -788 divided by 193285\nAnswer: -788\/193285","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the ninth root of 1427372 to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let p(v) be the second derivative of -v**4\/4 + v**3 - 3*v**2\/2 + 3*v. Determine g so that p(g) = 0.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.000003475352 rounded to seven decimal places?\nAnswer: -0.0000035","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Sort -11007, -4221, -5 in decreasing order.\nAnswer: -5, -4221, -11007","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of c**5 + 48390288*c**3 + 48695680*c**2 wrt c.\nAnswer: 60*c**2 + 290341728","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from mggjjope. Give prob of sequence ejgp.\nAnswer: 1\/420","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -10992 divided by 6.\nAnswer: -1832","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.2012 rounded to 2 decimal places?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let c(w) = 55*w**2. Let o = -293 + 301. Let s(d) = -o*d + 20*d - 12*d - 4*d**2. Give -6*c(v) - 85*s(v).\nAnswer: 10*v**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 85*q**2*t**3 + 139*q**2 + 4*q*t**3 wrt t?\nAnswer: 255*q**2*t**2 + 12*q*t**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve -88 = 56*d + 24 for d.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: How many nanoseconds are there in 18862.4 minutes?\nAnswer: 1131744000000000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 754 and 87.\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-4*j + 16*j - 2*j)*(-3*j**2 + 2*j**2 - j**2)*(2*j + 2*j - 6*j)*(3 - 3 + 2) to r*j**4 + q*j**3 + v*j + f + u*j**2 and give r.\nAnswer: 80","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-1*sqrt(136)*3 + (1*sqrt(136) + sqrt(136))*-5)\/(sqrt(88)\/(3*sqrt(1100))).\nAnswer: -390*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7*i = z - 2*i + 7, -5 = z + 3*i. List the prime factors of z - -4 - (-2296)\/8.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 925 and 259?\nAnswer: 37","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -21 - -23. Suppose 5*t = -a*q - q + 223, -5*q + 376 = 4*t. Suppose 3*u + j + j = q, 44 = 2*u + 3*j. What is the units digit of u?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from gqzpgzhzgzpphzz. Give prob of sequence zzp.\nAnswer: 3\/91","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -2323430 + 381043729\/164. Let t = 5\/41 - h. Calculate the common denominator of (18\/(-4))\/(-11*15\/80) and t.\nAnswer: 44","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -30\/19 - -188\/95. What is the closest to l in 2, 1, 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 4148, 15864, 35128, 61934, 96276, 138148, 187544, 244458?\nAnswer: 308884","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-20 - -13 - 0) + 20.\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.25 times 22.6?\nAnswer: 5.65","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 10\/243 - 64\/243. Which is greater: k or 13?\nAnswer: 13","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*d - 6*d + 24. Suppose -q + d*q - 370 = 0. Is q a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -29 - -27. What is the units digit of (11 - 31)\/(24\/13 + h)?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*z = 16, -5*p - 2*z - 12 = -9*p. Let d(i) = -i + p*i - i - 4*i + 4. Calculate d(0).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -27 + 6991568058*y + 27 - 6991568068*y.\nAnswer: -10*y","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -10*c - 3*c + 247. Solve 5*o + 15 = 0, -3*o + 5 - c = -5*p for p.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (p**(-1\/9))**(10\/9)*(p*p*p**(-5\/4))\/(p**(-23)*p) assuming p is positive.\nAnswer: p**(7331\/324)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is 38927963 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of 236, 475, 714, 953?\n\"Answer: 239*o - 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(17) - sqrt(51)\/sqrt(3)) + -5 + (-4*sqrt(153))\/sqrt(9).\nAnswer: -4*sqrt(17) - 5","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 550035953 to the power of 1\/3, to the nearest integer?\nAnswer: 819","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*l = -4*t + 10, 4 = -0*t + 2*t - l. Let o(f) = 5*f**2 - 1. Let x be o(t). Let j(y) = x*y - 2*y + 0*y. Let m(d) = d. Give j(m(q)).\nAnswer: 2*q","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6 = -5*l + j, 0*l + 5*j = 3*l - 8. Let v be -10*(3 - (-5 + 19044\/2385)). Are v and l nonequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 269492 to the power of 1\/5, to the nearest integer?\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let p(w) be the second derivative of w**5\/120 + 25*w**4\/24 + 13*w**3\/6 + 22*w. Let l(u) be the second derivative of p(u). Is l(4) a multiple of 7?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 9 - 11 = 2*o, -4*o = 5*j - 46. Put -4, j, -3, -7 in ascending order.\nAnswer: -7, -4, -3, j","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between 3 and -564?\nAnswer: 567","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((r*(r*r**(-11)*r*r*r*r)\/r*r*(r\/r**(-18))\/r)\/(r*r*r**14*r*r**(16\/5)))**24 assuming r is positive.\nAnswer: r**(-864\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let k be -1*(-1)\/6*2. Let x be -1*2\/(-15)*1. What is the nearest to -0.1 in -2, x, k?\nAnswer: x","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is 1002200 + 12?\nAnswer: 1002212","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -l - 4 = -0, -2*s - l = -2. Suppose 3*p = -2*k + 337 - 70, -529 = -4*k - 5*p. Suppose 254 = 5*r - d + 22, 5*d = s*r - k. Does 47 divide r?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(r) = 3*r**3 - r**2 - r. Let x be t(-1). Suppose 3 = 2*j + 3*h - 1, 0 = -h. Let a = x + j. Which is greater: a or -4\/3?\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-156)\/18)\/13*(714\/(-3052))\/17?\nAnswer: 1\/109","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in 0.2, -1005, -0.969, 0?\nAnswer: -0.969","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let t(g) = 97*g**2 - 70*g - 1389. What is the hundreds digit of t(-23)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-m + 2*m + 7*m)*(0*m - 4*m + m) + 4 - 4 - m**2 - 2*m**2 - 3 + 3 + 2 + 2*m**2 - 2 + (0 + m**2 + 0)*(3 + 3 - 4) + 2 - 2 - m**2 + 1 - 1 + m**2.\nAnswer: -23*m**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.166 less than 56406?\nAnswer: 56405.834","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let n be 1209\/429 - -3*(-4)\/(-66). Solve n*x = -12, 0 = -2*j - j + 5*x + 23 for j.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -l = -2*l + 1 for l.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -33*q**2*z**3 + 28*q**2*z - 4*q**2 + 2*q*z**3 + q*z wrt z?\nAnswer: -198*q**2*z + 12*q*z","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 1? (a) -0.1 (b) -1 (c) -0.47 (d) 1799\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((w*((w*((w*w**(3\/14))\/w)\/w)\/w)\/w*w)\/(w\/w**11))\/((((w\/w**(1\/6))\/w)\/w*w)\/w**(5\/4)))**23 assuming w is positive.\nAnswer: w**(22471\/84)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let n(j) = -4*j. Let w(k) = 366*k**2 - 355*k**2 - 3 + 3. What is n(w(b))?\nAnswer: -44*b**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 209*n + 2307 - 844 for n.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -10.8 - -10.6. Which is the closest to 2\/5? (a) 3 (b) f (c) -4\/3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r be ((-15)\/(-20))\/(3\/(-24)). Suppose 13 + 1 = a. Let f(m) = -5*m**3 - 7. Let y(b) = -2*b**3 - 3. Determine a*y(i) + r*f(i).\nAnswer: 2*i**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -11 + 15. Suppose x*j = p + 105, -2*j + p + 57 = 2*p. What is the least common multiple of 2 - (4\/18 + (-6)\/j) and 4?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 4*c**5 - 175*c**4 - 41*c**3 - 20*c**3 + 60*c**3 + (5*c - 2*c - 4*c)*(-3*c**4 - c**4 + 2*c**4).\nAnswer: 6*c**5 - 175*c**4 - c**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 1 - -1. Let p be 2 - (-20)\/14 - (-9)\/(-21). Suppose -4 = o*y + 4*i, -1 = 2*y + p*i + 2. Solve y = 5*s + 1 + 9 for s.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t be -9*4\/8*38\/(-57). Solve 5 = -5*k - t*f - 0, 3*k = 3*f - 3 for k.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -m - 2 = -8. Let y = m + -3. Suppose -3*g - 4*n + 16 = 0, -y*g = n + 2*n - 18. What are the prime factors of g?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a be 1884\/20 + 5\/(-25). Let x = a - 72. Calculate the remainder when 76 is divided by x.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(y) = -2301*y**2 + 128*y. Let i(o) = 474*o. Give i(c(v)).\nAnswer: -1090674*v**2 + 60672*v","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*i - 85 = 15. What is the highest common factor of i and 5?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 72290365?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (3*-2697445)\/((-4)\/12*3). Let g = z - 267020690\/33. Let m = 799 - g. What is the common denominator of 2\/33 and m?\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 42316 + -19026. Is 17 a factor of z?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is -7 + -12d?\nAnswer: -135","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 8 and 510001048?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -1\/4? (a) -0.4 (b) 15553 (c) 41\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from fiiq. What is prob of sequence ff?\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let a(k) = 3*k**2 - 6*k**2 - k**3 - k**3 - 2*k - 1. Let d be (-8)\/(-12) + 68\/6. Let i = d + -14. Give a(i).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(m) be the first derivative of -m**4\/4 + 13*m**3\/3 + 3*m**2 - 3*m - 4966. Determine h(13).\nAnswer: 75","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 2 in -43, -145.2, 2?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let i be 178\/6*(0 - (6 - 42)). Is 1071 greater than or equal to i?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.99734487 to one dp.\nAnswer: -1","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is -1800 divided by -15?\nAnswer: 120","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -10 = 4*b - 2. Let i be (-2)\/b - 40\/(-10). Solve -5*u + 4*v - 2 = i, -3*v + 6 = -4*u for u.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 121*v - o - 263 = 118*v, 5*v = -4*o + 444. Calculate the highest common divisor of v and 132.\nAnswer: 44","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7*v - 3 = 6*v. What is the third derivative of 7*b**3 - b**6 + b**2 - 7*b**v - 2*b**6 wrt b?\nAnswer: -360*b**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 6619405?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:08 PM and 11:56 PM?\nAnswer: 48","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let p(u) = -4*u - 248. Let v be p(18). Which is smaller: v or -321?\nAnswer: -321","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred millions digit of 529478952?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 493 - 491. Suppose k + 4*w = 2095, -5*k = a*w - 5474 - 5019. Is k prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is -343156662 + -4?\nAnswer: -343156666","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 67\/510 and 149\/221385798.\nAnswer: 1106928990","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in seven eighths of a litre?\nAnswer: 875","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 1 + 3 - ((-8 - -4) + 5)?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is 12141 - -1?\nAnswer: 12142","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*g - 2 = -8, 3*y - 11241 = g. What is the tens digit of y?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -6 - -8. What is the closest to -0.1 in s, 2\/13, 1\/2?\nAnswer: 2\/13","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -13*c + 481 = -0*c. Suppose 9*n - c = -19. Solve 5*d = -n - 8 for d.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(v) = -v**3 + 9*v**2 - 7*v + 1. Let a be h(5). Let f = -44 + a. List the prime factors of f.\nAnswer: 2, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -2 - -3000224703?\nAnswer: 3000224701","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Convert -11 (base 7) to base 11.\nAnswer: -8","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 265408?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 0 - -17 - (59 + -24 + (0 - -40))?\nAnswer: -58","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 286580, 573086, 859448, 1145594, 1431452, 1716950, 2002016?\nAnswer: 2286578","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 106518100?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -145 - -144.91. Let p = b + -0.21. Sort 0, p, 0.5 in ascending order.\nAnswer: p, 0, 0.5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 69658986382 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 11750322 and 3078.\nAnswer: 114","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 3*(-9 + 364\/26).\nAnswer: 15","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((o**(2\/7)*o**(-4)*o)**(-2\/29))**(-2\/89) assuming o is positive.\nAnswer: o**(-76\/18067)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in 0, 1\/6, 5\/290919?\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is 1\/2 greater than or equal to 21?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let x(h) = 13221*h - 594948. Determine x(45).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 47414733 and 8860.\nAnswer: 443","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let x(q) = -q**2 + 4*q - 7. Let a be x(3). Let l be (a\/3)\/((-20)\/30). Solve -22 = -5*z - 3*h, -l*z + 3*z - 4 = -h for z.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(i) = 11*i**2 + 16*i + 0*i**2 - 21 + 3*i**3 - 2*i**3. Calculate w(-9).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((s**(-2))**(1\/46)*s\/(s*s**(-17))*s\/(s**(-11)\/s))**23 assuming s is positive.\nAnswer: s**689","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: -2542 (base 6) to base 2\nAnswer: -1001111110","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 1782 - 29*s + 1781 - 5389 + 1826.\nAnswer: -29*s","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from dvvvdddddddddddd. What is prob of sequence dv?\nAnswer: 13\/80","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let w(x) = -x**2 - 5*x. Let m(y) = -2*y**2 - 8*y. Let l(p) = 5*m(p) - 8*w(p). Let v(r) = -4*r**2 + 3*r**2 + 3*r**2. Calculate v(l(j)).\nAnswer: 8*j**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is 8 a factor of 1312?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 34.94 - 35. Let q = o - 1.22. Round q to 1 dp.\nAnswer: -1.3","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -163, -346, -529?\nAnswer: -712","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 3.5 - -4.5. Let f = -7.67 + t. Round f to 1 dp.\nAnswer: 0.3","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 700 minutes before 3:41 PM?\nAnswer: 4:01 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let w(x) = -x**2 + 1. Let a = -68 + 67. Let v(n) = 3*n**2 - 5. Let p(r) = a*v(r) - 4*w(r). Determine p(-3).\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -27\/2852 or 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let k(v) = -5*v + 4. Let t(x) = x + 9. Let y be t(-7). Let j be k(y). Sort 0, 3\/4, j in decreasing order.\nAnswer: 3\/4, 0, j","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 380\/1026*12*(-3)\/(-30)?\nAnswer: 4\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let l be 36*(-6)\/(-12) - 5. What is the highest common divisor of 65 and l?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -7121.002977 - -7121. Round j to four dps.\nAnswer: -0.003","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 246 minutes after 6:38 AM?\nAnswer: 10:44 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -214 - -139. Suppose -53 = 4*m + 5*z + 38, 3*m = 4*z - 107. Let k = m - r. Is k a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 1494 divide 270526050?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is 1062536131 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: -2 (base 14) to base 3\nAnswer: -2","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 3067 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let y(b) be the first derivative of b**4\/4 + 2*b**3 - 3*b**2\/2 + 29*b + 23. Let x be y(-7). Which is smaller: x or 10\/9?\nAnswer: x","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 1098.7 + -1099. Which is the biggest value? (a) y (b) 3 (c) -5 (d) 16\/23\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -19 - -103. Let v be (-29)\/(-4) - 3\/(f\/7). Let j(x) = x - 1 - 1 + 1. Let t(n) = 3*n - 3. Determine v*j(w) - 3*t(w).\nAnswer: -2*w + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth root of 4507 to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*k = q + 3*k - 11, -3*q - 2*k + 61 = 0. Suppose 2*d - q - 87 = 0. Suppose 0*y = -y + d. What is the highest common divisor of y and 11?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(j) = -j. Let k(u) be the first derivative of u**5\/60 - 5*u**2\/2 - 5. Let c(g) be the second derivative of k(g). Determine c(v(o)).\nAnswer: o**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let c(v) = v**3 - 12*v**2 - 12*v + 34. List the prime factors of c(14).\nAnswer: 2, 3, 43","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.002372 rounded to four dps?\nAnswer: -0.0024","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*v + g - 14 + 2 = 0, -3*v = 2*g - 10. Solve 0 = v*k + i + i + 8, -20 = k - 3*i for k.\nAnswer: -8","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*g + 0*g + 0*g + 0 - 2*g + 0 - 3 + 3 - 2*g + (-1 - 4 + 4)*(0*g + 5*g - 3*g) - 2*g - g + g + g + 0*g + 0*g)*(-1 + 3 - 11*g + 56*g).\nAnswer: -405*g**2 - 18*g","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 1080 and 811440.\nAnswer: 360","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 12 + -10. Suppose -4*v + 4 = 4*i, i - s*i + 2*v = 2. Suppose -l = -b - i*b - 38, -5*l + 4*b = -185. What is the tens digit of l?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(z) = z**2 - 9*z + 14. Let j(t) = -6*t**3 + t**2 + t + 1. Let c be j(-1). Suppose 2*w + 40 = c*w. Let f be b(w). Solve -3*g + f = -g for g.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-12 - ((-12 - -22 - 18) + -8)) + 6 + 1.\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 54194.59 years in decades?\nAnswer: 5419.459","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -44 + 48. What is v in -2*v**4 + 15*v**3 - 4*v**2 + 5*v**y - 2*v**5 + 1 - 13*v**3 = 0?\nAnswer: -1, -1\/2, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -722.31003 - -761.3100323. Let j = 39 - r. What is j rounded to six decimal places?\nAnswer: -0.000002","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(y) = -131844*y + 527369. Determine v(4).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Put together -0.012 and 842.\nAnswer: 841.988","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ss when two letters picked without replacement from {f: 2, s: 7, b: 11}.\nAnswer: 21\/190","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is (10 + 8 - 32) + -32 - 16?\nAnswer: -62","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 152 minutes after 10:25 AM?\nAnswer: 12:57 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*w - 73 = -4*g, -5*w = -w + 2*g - 62. Let j be w\/36 - -1*5\/(-20). Let d = 3 - 3.4. What is the nearest to d in 0, j, -1?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -333, -502, -695, -924, -1201, -1538?\nAnswer: -1947","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*s - 1752 - 243 = -3*o, -5*s = -o - 3307. What is s rounded to the nearest one thousand?\nAnswer: 1000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from ttttttbtttttttttbttb. What is prob of picking 1 t and 2 b?\nAnswer: 17\/380","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: 14 (base 5) to base 6\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 5254 is divided by 102.\nAnswer: 52","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 63\/2 + -29. Let y = -5.97 + -0.03. Let d = -10 - y. What is the closest to 0.1 in s, 4\/3, d?\nAnswer: 4\/3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in -7\/3, -1, 1, 0.622, -15\/38?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 7, 10, 13, 16, 19, 22?\nAnswer: 25","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 15*i - 156 = 159. Suppose s - 2 = 0, 5*t - 17 - i = s. Let f = -3 + 17. What is the remainder when f is divided by t?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many centuries are there in seven halves of a millennium?\nAnswer: 35","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 41726 and 1860?\nAnswer: 62","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let v(a) = a**2 + 2*a - 1. Let s be v(1). Suppose 0 = -3*j - r + 14, -3*r = -s*j + 5*j - 24. Solve -q**j - 1 + 0*q**3 + q - q**4 - q**3 + 2*q**2 + q**5 = 0.\nAnswer: -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -3*z + 1 + 7 + 2*z + 0 + 0 + 2*z + 4*z - z - 2*z + (-1 + 5 - 2)*(-2*z + 6*z - 2*z) + 2*z - 2*z - z - 57*z + 169*z - 29*z as j + k*z and give j.\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 18\/24847571 or 1?\nAnswer: 18\/24847571","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is -54222 divided by -7746?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -1\/3 + 0. Let o = 0.274 - 0.004. Let n = o - -0.03. What is the smallest value in n, 0, k?\nAnswer: k","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(d) = -3*d. Let h(y) = 5308*y + 9333 + 9334 - 18667. Give b(h(n)).\nAnswer: -15924*n","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -2 + 3. Let t = 0 - z. Let n = 90 + -446\/5. What is the smallest value in n, t, 0.1?\nAnswer: t","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (-3 - -7)\/(-4)*1. Let h(l) = 2*l**3 + 2*l - 1. Let i be h(1). Put q, 5, i in descending order.\nAnswer: 5, i, q","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 56 or -2040820?\nAnswer: -2040820","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*w = -4*w + 3*o + 69, 3*w = -5*o + 30. Let r be (-476)\/(-49) - (-4)\/14. Let a be (-2)\/(-3)*w\/r. Which is bigger: a or -1?\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 52994?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let i(w) be the third derivative of -w**5\/100 + w**4\/20 + 22*w**2. Suppose i(c) = 0. What is c?\nAnswer: 0, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-3*4)\/6)\/(16\/(-56)) - (-34 - -2)?\nAnswer: 39","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 3497 divided by 5.\nAnswer: 3497\/5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is v in -v**4\/4 + 25*v**3\/4 - 39*v**2 - 36*v + 432 = 0?\nAnswer: -3, 4, 12","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -37699779*v**3 - 69025146*v.\nAnswer: -226198674*v","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 7372*k + 31*k - 1772*k + 7478*k + 3009*k.\nAnswer: 16118*k","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 599 is divided by 122.\nAnswer: 111","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.000009317589 rounded to seven dps?\nAnswer: -0.0000093","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is 1068017 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let w be 4 + ((-30)\/(-18) - 31146\/(-18)). What is the greatest common factor of 62 and w?\nAnswer: 62","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 455 and 7.\nAnswer: 3185","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*t - 9*t = -4*v - 477, 2*t - 180 = -2*v. Find the common denominator of 1658\/952 - 2\/7 and (-62)\/t - 418\/(-60).\nAnswer: 340","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: 5b9cc (base 15) to base 2\nAnswer: 1000111011001110011","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) 2\/5 (b) -0.1 (c) 51 (d) -1\/4 (e) 202 (f) -65\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of -221, -425, -629, -833, -1037, -1241?\n\"Answer: -204*u - 17","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 1394 - 2109. Let h = w - -712. Let n(u) = -3*u**3 - 3*u**2 + u - 4. Calculate n(h).\nAnswer: 47","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: -1 - (5 - (-6 + 12)) - 3\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose s = -0 + 4. What is the first derivative of -1 + 973*m - 973*m + 12*m**s wrt m?\nAnswer: 48*m**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 589 by 72.\nAnswer: 589\/72","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let r(q) be the third derivative of -q**6\/120 + 7*q**5\/30 - 5*q**4\/6 - 5*q**3\/2 - 126*q**2. Let x be r(12). Calculate the highest common divisor of x and 3.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -130562 (base 8) in base 14?\nAnswer: -127aa","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence oo when two letters picked without replacement from {o: 3, f: 12}.\nAnswer: 1\/35","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 3673 is divided by 334?\nAnswer: 333","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is s in -5*s**2 + 1230*s + 1235 = 0?\nAnswer: -1, 247","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is -104 - -14254524?\nAnswer: 14254420","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let h(j) = -4*j**2. Let t(m) = -8*m**2 + 5. Let v(q) = -9*q**2 + 6. Let s(g) = 6*t(g) - 5*v(g). What is s(h(f))?\nAnswer: -48*f**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let y(k) = 32*k**2 + 1. Let o(w) = -6*w**2. What is y(o(j))?\nAnswer: 1152*j**4 + 1","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*g + 2*r = -1, -2*g + 20*r - 15*r + 13 = 0 for g.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let g(b) = -b**2 - 5*b + 1. Let t be g(-4). Let u be t*-3*1\/(-15). Solve 3 - u = 2*f for f.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(f) = f**3 - 5*f**2 + 2*f + 6. Calculate h(6).\nAnswer: 54","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 y when two letters picked without replacement from {y: 6, i: 13}.\nAnswer: 5\/57","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -1 + -1*(-4 + ((3 + sqrt(700)*-1*6 + sqrt(700) - -1*((-1*sqrt(700) + sqrt(700) - sqrt(700)) + -5))*4)**2).\nAnswer: -403261 - 3840*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 14*i - 9*i - 18*i - 11*i.\nAnswer: -24*i","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is one twentieth of a litre in millilitres?\nAnswer: 50","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 4161?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let w(c) = 49*c + 57*c + 49*c + 5 - 85*c - 2. Let d(i) = -i**3 - 3*i**2 + 4*i + 2. Let l be d(-4). What is the units digit of w(l)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 14*g - 57 = -1. What is the least common multiple of (40\/(-25))\/(2\/(-20)*g) and 56?\nAnswer: 56","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -75\/716 and 47\/6?\nAnswer: 2148","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 53 and 8564?\nAnswer: 453892","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let s(y) = -21 + 7*y**2 + 10 + 5 + 6*y. Let x(b) = 13*b**2 + 11*b - 11. Let m(r) = -r - 6. Let a be m(0). Determine a*x(n) + 11*s(n).\nAnswer: -n**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -c = 2, 0*c - 294 = 4*w - c. Let p = 18 - w. Suppose z - 40 = -5*a, 0 = -4*z - 0*a - 3*a + p. What is the tens digit of z?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-t + 4*t + t)*(2*t**3 + 345*t**3 - 12*t**3)*(2 - 3 + 0).\nAnswer: -1340*t**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 54621 a multiple of 189?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.4887588 litres in millilitres?\nAnswer: 488.7588","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 0 - 7*a + 5*a + 0 to the form m*a + z and give m.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let q(x) be the first derivative of -39*x**2\/2 - 21*x - 109. Let b(h) = -4*h - 2. What is -21*b(n) + 2*q(n)?\nAnswer: 6*n","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Put -2\/7, 0.5, 218910 in decreasing order.\nAnswer: 218910, 0.5, -2\/7","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) 2 (b) -0.4 (c) -279\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -0.05 + 2.05. Let j = -0.044 + -1.956. What is the third smallest value in c, j, 4?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(p) = p. Let v be j(4). Suppose 2*z + d = -9, d = -v*z - 0*d - 21. Let t = z - -19. List the prime factors of t.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-4*sqrt(110)*-4 + sqrt(110) - 4*(sqrt(110) + 2*sqrt(110)))\/(-2*sqrt(490) + sqrt(20)\/sqrt(2)*4).\nAnswer: -sqrt(11)\/2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*m = -3328*a + 3331*a - 98, 4*a - 2*m = 122 for a.\nAnswer: 31","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let w(a) = 6*a**2 + a - 2. Let l be w(-2). Let n = l - 23. Let r be (3\/6)\/(n\/(-24)). Solve 41 = -4*j - 0*c - 5*c, -1 = r*j - 3*c for j.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*p = -l + 2*l - 11, 5*p - 2*l + 19 = 0. Let s be 1*(-1)\/p*3. Suppose -3*n + 3*d + 3 = 0, 3*n + 0*n = d - 1. Sort s, n, -3 in increasing order.\nAnswer: -3, n, s","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (225 - (78 - -122)) + 1 + 6?\nAnswer: 32","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let h(i) = 3*i**2 - 3*i + 1. Let z be (((-240)\/84 - 3\/21) + 1)\/2. Let c(x) = x**2 - x. Calculate z*h(p) + 2*c(p).\nAnswer: -p**2 + p - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 0 + -6*(sqrt(175) + 5 + 1 + sqrt(175))**2.\nAnswer: -4416 - 720*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 7*v = 6*v - 5 for v.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -16 + (-15)\/(120\/(-124)).\nAnswer: -1\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 12 + 2. Is 7 a factor of 6\/t + 3288\/168?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 621 divided by -23.\nAnswer: -27","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let t(h) = 2*h. Let q(g) be the second derivative of 0 - 2*g - 5\/6*g**3 + 0*g**2. Give t(q(r)).\nAnswer: -10*r","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 380469883?\nAnswer: 380469883","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 840 + -839. Sort t, 3, 9 in ascending order.\nAnswer: t, 3, 9","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(b) = -b**2 - 6*b. Suppose -5*j + 4*v = 26 - 1, 3*v + 25 = -5*j. Let t be k(j). Let p be t\/3 + 2\/(-3). Put p, 0, -5 in increasing order.\nAnswer: -5, 0, p","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -27 - 5 - 4798*y - 21 + 72 - 20.\nAnswer: -4798*y - 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3*n**2 - n**2 + 2*n**2)*(11*n - 1 + 7*n - 15*n).\nAnswer: -6*n**3 + 2*n**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -5820339.41 + 5820251.4099249. Let l = -88 - a. What is l rounded to five dps?\nAnswer: 0.00008","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 716391 to the power of 1\/9, to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve 106*u - 103*u - 25 = 11*s, -2*u - 2 = 2*s for s.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 675 minutes after 10:55 PM?\nAnswer: 10:10 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 191 + -187. Which is the nearest to 2\/3? (a) -7 (b) 0 (c) p\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*h + 7*d - 5*d + 24 = 0, -5*h = 5*d - 60. List the prime factors of h.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 954 to the power of 1\/3, to the nearest integer?\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (1\/((-10)\/3))\/((-23511)\/(-1844)).\nAnswer: -2\/85","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -2*f**3 - 5 - 38*f**2 - 15*f**2 + 50*f**2 - 8*f - f**3 + 2*f**3 to the form a + z*f**2 + k*f + j*f**3 and give a.\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 16636?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -8697, -17430, -26163, -34896, -43629, -52362?\nAnswer: -61095","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 10215434?\nAnswer: 2, 5107717","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (-3 + -11 - 0)\/(1\/(-1)). Calculate the highest common divisor of v and 14.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 5832 and 1037502.\nAnswer: 54","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve -491*a + 775*a - 2235 = 433*a for a.\nAnswer: -15","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 13046 is divided by 18?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of -1338, -1381, -1424?\n\"Answer: -43*h - 1295","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (2 + (-4*1*sqrt(99))\/(2*sqrt(9)*-4) + (sqrt(77)*-2*-2)\/((sqrt(63)\/sqrt(3))\/sqrt(3)))**2.\nAnswer: 18*sqrt(11) + 907\/4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (2\/6)\/(4\/18)*22. Calculate the highest common factor of c and 264.\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -37\/4 - -119\/12. What is the nearest to 0 in -5, -5\/3, m?\nAnswer: m","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f be 33\/11 - ((1 - 4) + 3). Solve -2*s - f*s + 20 = 0 for s.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -46263 = -188*k + 197720 + 383937. Is 122 a factor of k?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (2\/(-3))\/(-3 - (-10)\/4)?\nAnswer: 4\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 155 and 3743653?\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 15796?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: 10 + -3 + -6 - (3 + 0 - -10)\nAnswer: -12","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*m - 5 = -4*o, -233861*o + 4 = -m - 233862*o for m.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is 0.1 equal to -1756?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((j**(-3\/2)\/j)**30*(j*j**(-8))\/j**(2\/13))**(-25) assuming j is positive.\nAnswer: j**(26700\/13)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*x - 10 = m + 3*m, 0 = m + 4*x + 20. Suppose -7*c = -5*c - 5*a + 15, m = 4*c - 4*a + 12. Solve u + 0*u = 0, -4*d - 3*u + 12 = c for d.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*c**2 - 170*c - 172 = 0.\nAnswer: -1, 86","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Convert 2112210 (base 3) to base 16.\nAnswer: 741","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Put -3, -5, 8, 2, 10 in decreasing order.\nAnswer: 10, 8, 2, -3, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is -4 - 65031?\nAnswer: -65035","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Expand -69 + 3*z + 69 + (-2*z + 2*z + 2*z)*(-2 - 3 + 4) - 75 + 8*z + 75.\nAnswer: 9*z","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 58394*k - 58403*k - 5293 + 5293.\nAnswer: -9*k","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*y + 91 = 2*y. Let u = y - 6. Let g(h) = -h**2 + 11*h - 10. Let b be g(u). Calculate the greatest common factor of b and 6.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 6*a + 5*a + 9*a + (55*a - 429*a - 20*a)*(-2 - 1 + 4) in the form z*a + r and give r.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 40 or 235\/6?\nAnswer: 40","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1100 is divided by 1096?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 5 + -4.4. Let b = t + -2.6. Is 2 <= b?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*v + 6 = 3*i - i, 0 = -4*i - v. Let q(y) = -y**3 + 8*y**2 - 6*y. Let t be q(6). Is 3 + i + -1 + t prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -46 = 3*p + 5*a, -4*p - 4*a = -9*p - 52. Let u be (-4)\/p - 22\/30. Is u <= -2\/453?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (387\/54 - 7)*(-8)\/(-4). Sort -0.08, 0.5, 37, r.\nAnswer: -0.08, r, 0.5, 37","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(g) be the third derivative of g**6\/20 - g**5\/60 + g**4\/12 + g**3\/6 + 13*g**2. What is the units digit of b(3)?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0.1 in 0.54, 2\/5, 4, 2, 15?\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = o - 4*t + 86, -355 = 7*o - 2*o - 5*t. Calculate the least common multiple of 33*(1\/(-6))\/(((-25)\/(-2))\/(-25)) and o\/(-12)*(2 + 0).\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l be ((-9)\/(-33))\/((-6)\/(-45)). Let g = 3071\/1496 - l. Let p = 55\/1768 + g. Is 1 at least as big as p?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -1 - (15 + 38 + -76)?\nAnswer: 22","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Put 2, 510, 97 in descending order.\nAnswer: 510, 97, 2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 1423\/120 in 0.01, -2, 1\/10, 1\/6?\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is (-1)\/(120\/360*(6\/13)\/(-2))?\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of 51847, 103697, 155547, 207397?\n\"Answer: 51850*i - 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 0 - -0.5. Suppose 0 = -5*p + 2*n - 39, -2*p + 29 = -5*p + 4*n. Let v = 6 + p. Which is the nearest to v? (a) -0.2 (b) -3 (c) m\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1532767673 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is 34 a factor of 184314?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 0.162 + -0.262. Which is the nearest to h? (a) 2\/3 (b) 5 (c) 3 (d) 0.1\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -5140 (base 8) in base 11?\nAnswer: -1aa5","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((l**(-1)\/(l*(l*l*l*l**2)\/l*l))**(-1\/41))**(-5\/4))**(1\/88) assuming l is positive.\nAnswer: l**(-35\/14432)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_test"},"subset":"dm_maths"} +{"text":"Question: Solve 4*y - 4*l + 56 = 0, 18*l - 36 = 15*l for y.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 850083675.\nAnswer: 3, 5, 7, 1619207","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let k(l) = -l**3 + 24*l**2 + 26*l - 28. Let a be k(25). Is -7 greater than a?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 1? (a) 8 (b) 5 (c) -5 (d) 3\/5\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is 3\/1330 at most as big as 1\/26?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 3\/40 of a millennium in months?\nAnswer: 900","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((6\/(-5))\/(375\/1250))\/(-1 + 11)?\nAnswer: -2\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Subtract -5.075725 from -2108591.\nAnswer: -2108585.924275","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence xx when two letters picked without replacement from xxxvvv.\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 108 is divided by (-7728)\/(-216) - (-2)\/9.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(z) = 304 - 299 + 7*z**2 - 17*z**2. Let w(v) = -11*v**2 - v + 4. Let o(j) = -4*u(j) + 5*w(j). Factor o(n).\nAnswer: -5*n*(3*n + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(q) = 7980*q - 121. Is r(8) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*l + 5*h + 880 = 0, 11*h - 532 = -3*l + 10*h. What is the hundreds digit of l?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(u) = 3*u**2. Let q = -671\/2 - -1007\/3. Let c(z) be the second derivative of 0*z**2 + 0 + 7*z + q*z**3. Determine v(c(o)).\nAnswer: 3*o**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 66 - 45. Suppose -m = -4*o + 19. Calculate the smallest common multiple of o and 10.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {n: 1, v: 2, r: 1}. What is prob of sequence vvr?\nAnswer: 1\/12","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let f(c) = -43*c + 19 - 3*c**3 + 0*c**3 + 57*c. List the prime factors of f(-5).\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-231)\/(-22)*8\/(-14)?\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -20, -29, -42, -59, -80?\nAnswer: -105","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 m when two letters picked without replacement from {p: 1, j: 3, a: 2, m: 4, z: 2}.\nAnswer: 1\/11","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {f: 5, d: 5}. What is prob of picking 3 f and 1 d?\nAnswer: 5\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((g**(-1\/13)*g**(-6))\/(g*g*g\/(g*g**(-2\/7)*g))**21)\/((g\/(g\/g**(-1\/8)))\/(g\/g**(-2\/19)))**(-2\/13) assuming g is positive.\nAnswer: g**(-32867\/988)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let s(m) = -m**3 + 11*m**2 + 8*m - 51. Calculate s(12).\nAnswer: -99","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*j + 0*j = -3*j + 440. Solve -39*t + 16 - j = 0 for t.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many millimeters are there in 21\/2 of a centimeter?\nAnswer: 105","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -1185 = -3*r - 12*r. What is the tens digit of r?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -5*i + 2 + 3. Let q = -1176289\/12 - -97952. Let n = 72 + q. Which is smaller: n or i?\nAnswer: n","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.0000073651282 to six dps.\nAnswer: -0.000007","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.0006970104 to 4 dps.\nAnswer: 0.0007","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 3*a*y**3*z - 2*a*y**3 + 3*a*y**2*z + 774*a*z - 2*a - 6877744*y**3*z - 2004*y*z + 3*y wrt y.\nAnswer: 18*a*z - 12*a - 41266464*z","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 16283398.\nAnswer: 2, 433, 18803","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let v(q) = -8*q - 7. Let n(d) = -4*d - 3. Let p(o) = 7*n(o) - 3*v(o). Let u(z) = -5*z. Calculate p(u(t)).\nAnswer: 20*t","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(140)\/(sqrt(14)\/sqrt(2)))\/(-2*sqrt(256)).\nAnswer: -sqrt(5)\/16","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 48845 is divided by 48832.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of 122, 460, 986, 1712, 2650, 3812?\n\"Answer: 2*n**3 + 82*n**2 + 78*n - 40","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: (1\/(4\/(-125)))\/(3925\/(-3140))\nAnswer: 25","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 2846*i**3 - 2803*i**3 + 5*i**2 - 7*i**2 - 3 - 3*i to u*i**2 + w + j*i + f*i**3 and give f.\nAnswer: 43","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let m(p) = 4*p - 2. Let k be m(2). Let s be 8\/k*6\/4. What is the units digit of -5*(-3 + s) + 3?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*t + 5 + 15. Suppose 0 = g + t*g - 110. Solve -j = -2*x + g, 6 = -2*x - 4*j + j for x.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -19*t - 3292 = -23*t. What is the hundreds digit of t?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (192\/(-432))\/(4\/(-36)*67*(-372)\/(-31)).\nAnswer: 1\/201","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0*g**4 + 2*g**4 - 4*g**4)*(0*g - 3*g + 5*g) + (0*g**4 + 4*g**4 - 17*g**4)*(0 + 2*g + 0).\nAnswer: -30*g**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -2703912382\/1419 + 1905503. Let g = 82\/33 + c. Which is smaller: 0 or g?\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -t = -0*t + 4*o - 38, -o - 67 = -4*t. Let g be 3 + (-86)\/t - 2\/9. Let y(k) = 4*k - 7. Let l(a) = a - 2. What is g*y(w) + 7*l(w)?\nAnswer: -w","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1029, -20, 3\/4, 0.24 in ascending order.\nAnswer: -20, 0.24, 3\/4, 1029","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-6 - -3 - -10) + -2.\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let j(k) be the second derivative of -k**5\/5 - 1479*k**4 - 4374882*k**3 - 6470450478*k**2 - 4210*k. Solve j(i) = 0 for i.\nAnswer: -1479","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r be 13\/3 + 8\/(3 + -5). Which is bigger: -60 or r?\nAnswer: r","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 5, -1189, -5, -18, 3 in ascending order.\nAnswer: -1189, -18, -5, 3, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let d be -1*2 + 3\/(-3). Let x = -0.65 - 0.03. Let g = x + 0.78. Which is the nearest to 1? (a) 0 (b) d (c) g\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*o + 5*m + 28 = 8, -4*o = m + 9. What is the remainder when 56 - 3*o\/(-3) is divided by 14?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0.2 in 3, -3567, -28.3?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: 1466.6153 * 5\nAnswer: 7333.0765","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is 27429833 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 32 - 61. Let f = -24 - q. Let v(x) = -4*x**2. Let j(n) = 8*n**2. Suppose -77 + 17 = -30*p. Give f*v(z) + p*j(z).\nAnswer: -4*z**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 700 minutes after 12:47 AM?\nAnswer: 12:27 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from tnnnuntnnntnnun. What is prob of sequence unu?\nAnswer: 2\/273","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 5952 and 78810?\nAnswer: 78179520","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 343499?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let r(t) = -t + 4. Let d be r(-6). Suppose 7*a = d + 4. Solve -3*g = -4*g - u + 4, a*g - 5*u - 1 = 0 for g.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(m) = 9*m - 16. Let g(l) = 7*l - 17. Let x(q) = -2*b(q) + 3*g(q). Let c(u) = -4*u + 19. Calculate -2*c(n) - 3*x(n).\nAnswer: -n + 19","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 4 c when four letters picked without replacement from cctttcctctttt.\nAnswer: 1\/143","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 3776339?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is 18371 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(2) - (sqrt(2) + (-1 + sqrt(72) - sqrt(72)))) + 0 - (3 + sqrt(150)\/sqrt(3)) - ((sqrt(32) + -5 - sqrt(2) - -2*sqrt(12)\/sqrt(6)) + 2))**2.\nAnswer: -20*sqrt(2) + 201","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let x(y) be the first derivative of y**3\/3 - y**2\/2 + y - 7. Let q be x(0). What is the closest to q in 5, -1\/5, 1\/4?\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out -0.0209 * 4.2.\nAnswer: -0.08778","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) 4 (b) 0.023 (c) -5.45 (d) 0.185\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Sort -3, -4, 1, 5, 468 in descending order.\nAnswer: 468, 5, 1, -3, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let n(y) = -y**2 + 7*y - 1. Let q be n(4). Let o(s) = 26*s - 20 - q*s - 16*s. Let h be o(-15). Which is smaller: h or -4?\nAnswer: h","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -5.32 + -246.68. Which is the biggest value? (a) -2\/11 (b) y (c) -2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (7 + q + 6 - 7)*(-q**3 - q**3 + 3*q**3)*(-5*q + 822 - 822).\nAnswer: -5*q**5 - 30*q**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let n(k) = k**2 + 5*k - 6. Let w = 35 + -30. Suppose 2*i + 115 = -2*i - w*u, -4*i = 3*u + 125. Let z = i - -29. Give n(z).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (1 + 4*a - 1)*(-1 + 6 - 2 + (3 + 4 - 6)*(0 - 1 + 3)) + (-4 + 4 + 2)*(2*a - 21*a - 8*a) to g*a + n and give g.\nAnswer: -34","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 4 + -8. Let b(d) = -d**3 - 2*d**2 - 3*d + 8. What is the tens digit of b(x)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many milligrams are there in 31\/2 of a gram?\nAnswer: 15500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: ((-54)\/40)\/(309\/515)\nAnswer: -9\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(a) = 2*a + a - 5*a + 4 - a + a**2. Let h be l(4). Suppose 5*i + 57 = h*i. What is the units digit of i?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(h) = -h**3 - 2. Let y be ((-5)\/(-15))\/((-2)\/12). Let b be u(y). Find the third derivative of -2*g**2 - 28*g**6 + 11*g**b + g**2 + 24*g**6 wrt g.\nAnswer: 840*g**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) -4 (b) 19.9601 (c) 0.1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -255 + 372. Let f = 417 - g. Calculate the highest common divisor of 30 and f.\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is -111 + 101011?\nAnswer: 100100","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Put 73, -2, -19, 0 in descending order.\nAnswer: 73, 0, -2, -19","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Does 115 divide 1575996186?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 49\/10 and 17\/1705175.\nAnswer: 3410350","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is 444031 + 5?\nAnswer: 444040","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.3464723 micrometers in meters?\nAnswer: 0.0000003464723","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Convert -257681 (base 10) to base 3.\nAnswer: -111002110202","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*n = 4*o - 0 - 22, 2 = -3*n + 2*o. Suppose 5*k = -4*a + 18, 0*a + 3*a = -4*k + 13. Calculate the remainder when 12\/(-21) + (201\/a)\/3 is divided by n.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c be ((-54)\/21)\/((-8)\/41766). Let k = c - 13432. Let p = 107\/23 - 1843\/322. Find the common denominator of p and k.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from qtotogootqgtttottog. What is prob of sequence qtqg?\nAnswer: 1\/1938","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {f: 2, o: 6, r: 2, m: 4, g: 2, q: 1}. What is prob of sequence mqr?\nAnswer: 1\/510","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 15.760084 rounded to two decimal places?\nAnswer: 15.76","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let -2*p**2\/11 - 22580*p\/11 = 0. What is p?\nAnswer: -11290, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 11214 and 42169932.\nAnswer: 126","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {f: 1, z: 1, l: 1, q: 1, b: 2, a: 2}. Give prob of picking 1 a, 2 l, and 1 q.\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of w**5 + 3*w - 10*w - 5*w**5 wrt w.\nAnswer: -80*w**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(h) = 3*h + 8. Let w(b) = b + 1. Let c(m) = -v(m) + 2*w(m). Let o be -1*10*(-15)\/5. Suppose -8*t + o = -13*t. What is c(t)?\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(v) = 21*v - 455. What is the remainder when x(35) is divided by 44?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -161515\/37782 + -6\/2099. Find the common denominator of 27\/248 and b.\nAnswer: 2232","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 0.95 + -0.53. Let l = g + -0.265. Let q = 0.11 - l. Round q to 2 decimal places.\nAnswer: -0.05","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 1 - ((-2 + 0 - -4) + 1).\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let w(p) = -14*p**2 + 4*p**2 + 13*p**2 + 3 + p**3. Suppose 2*m + 14 = -5*h, 2 = 5*m - 13. Let f(y) = y + 1. Let k be f(h). Determine w(k).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-1252)\/626*3\/((-12)\/158).\nAnswer: 79","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {t: 2, b: 2, g: 1, w: 1, h: 2, l: 1}. Give prob of sequence hbwh.\nAnswer: 1\/756","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Expand -2*p - 3*p**2 + 2*p + (p + 3*p - 2*p)*(-2 - p + 2).\nAnswer: -5*p**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve 14*m - 13*m + 12 = 3*i, i = -2*m + 4 for i.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -4 + -1*(-2*sqrt(112)*-1)\/(sqrt(4) - (sqrt(484) + 3*sqrt(484) - sqrt(484)))*-3.\nAnswer: -4 - 3*sqrt(7)\/8","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is -5237.6 rounded to the nearest 1000?\nAnswer: -5000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let p be ((-4)\/(-6))\/(28\/42). Are p and 7\/16 non-equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(u) = -2*u**2 + 26*u + 1. Let v be x(12). Let j be ((-15)\/3)\/v - 63\/(-15). Solve -4*n = -3*g + 8, 2*n = -0*g - 3*g - j for n.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(r) = 14*r - 11. Let k = -5777 + 5778. Determine g(k).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 30563 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 688 - 683. Solve -5*c + v = 20 for c.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*q + 13 = -27. Suppose 0 = 2*t + 3*x - 41, 29 = 3*t + 2*x - q. Round t to the nearest ten.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -1 times -1957?\nAnswer: 1957","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let l(x) = x**3 - 30*x**2 + 3281*x - 90193. Give l(28).\nAnswer: 107","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 25 = -4*i - 63. Let v = 54 + i. List the prime factors of v.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 713?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: -297 - 563131740184\nAnswer: -563131740481","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 2\/9 in -2, -0.01, -239\/6?\nAnswer: -0.01","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Does 14 divide 280042?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 947003 to the nearest integer?\nAnswer: 973","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let h be -5*8754\/4800 - -9. Is 1 <= h?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(f) = 10*f**3 + 15*f**2 - 22. Let g(q) = 30*q**3 + 44*q**2 - 64. Let t(n) = -6*g(n) + 17*v(n). Is 15 a factor of t(-3)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*f - 69 = -5*u, 4*u = -0*f + 2*f - 54. Calculate the remainder when f is divided by 12.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: ((-32)\/(-16))\/(9*(-14)\/(-567))\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let q(y) = -y**2 - 5*y + 8. Calculate q(-7).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let x(w) = 0*w + 4*w**2 - w + 2 + 3*w. Let p be (6\/5)\/((-1)\/(-5)). Suppose -p = -2*g + 4*g. Let v(f) = 9*f**2 + 4*f + 5. Calculate g*v(k) + 7*x(k).\nAnswer: k**2 + 2*k - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 7473 and 619131?\nAnswer: 141","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Put -4, 7, 5, 20, -3, 0, 765 in ascending order.\nAnswer: -4, -3, 0, 5, 7, 20, 765","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 3137 is divided by 284?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 2866, 3205, 4146, 5995, 9058, 13641?\nAnswer: 20050","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is i in -i**4\/2 - 278*i**3 - 39449*i**2 - 219450*i + 2041875\/2 = 0?\nAnswer: -275, -9, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let d(g) = 161*g**2 - 24*g - 50. Calculate the remainder when d(-2) is divided by 214.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*x**3 - 72*x**2 - 402*x - 328 = 0 for x.\nAnswer: -4, -1, 41","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*u - m = 2*u + 17, -m = 2*u - 8. Let x be (-224*100)\/(u\/1250). Round x to the nearest one million.\nAnswer: -6000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 205*j**2 + 37*j**2 - 221*j**2.\nAnswer: 21*j**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let a(r) = 916666*r**2 + 4*r + 48. Let f be a(-6). Round f to the nearest one million.\nAnswer: 33000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 1, -2, -10, -3, -2441 in decreasing order.\nAnswer: 1, -2, -3, -10, -2441","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let r(w) be the third derivative of 0*w**3 + 0*w + 0 + 15*w**2 + 1\/12*w**4. Let a(x) be the first derivative of 8*x**3\/3 - 1. Determine a(r(q)).\nAnswer: 32*q**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 10*t = 12*t - 48. Solve 5*v - n + 26 = 0, -v - t = 4*v + n for v.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 3.61 - 0.11. Let i = -4 + z. Let n = i + 0.5. Sort -2\/11, 0.2, n in descending order.\nAnswer: 0.2, n, -2\/11","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: 0.06 - 699652\nAnswer: -699651.94","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 24054920 is divided by 2837.\nAnswer: 2834","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let r(h) be the second derivative of 23\/6*h**3 + 0 - h**2 - 48*h. Differentiate r(p) wrt p.\nAnswer: 23","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 24 and 123?\nAnswer: 984","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*p + 161 + 39. What are the prime factors of p?\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 35\/711 and 8\/45.\nAnswer: 3555","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:35 AM and 2:14 PM?\nAnswer: 699","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 32128 and 12.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (24\/(-2))\/((-5665092)\/(-12934))?\nAnswer: -2\/73","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -5108 + 5167. Solve -n*z = -417 - 55 for z.\nAnswer: 8","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is 1 - -112303?\nAnswer: 112310","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 131*z - 385 = -39*z + 125. Solve -3*w = -6*w - 5*a + 17, 0 = -w - z*a + 11 for w.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(v) be the first derivative of 11*v**5\/20 + 7*v**3\/6 + 3*v - 7. Let n(l) be the first derivative of q(l). Find the second derivative of n(o) wrt o.\nAnswer: 66*o","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -1245\/8 or -4?\nAnswer: -1245\/8","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from zllzflbzlllblilizll. Give prob of picking 1 f, 2 z, and 1 b.\nAnswer: 1\/323","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let f(t) = 9*t + 21. Let l(g) = 4*g + 1. Let u(p) = -f(p) + l(p). Let d(n) = 8*n. Give d(u(w)).\nAnswer: -40*w - 160","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let r(p) = -12*p - 106. Give r(8).\nAnswer: -202","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -8906*z**4 + 14044*z**2 wrt z.\nAnswer: -213744*z","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let j be 5\/20 - (-1)\/(-4). Let b be -1*(-1 + (-2 - j)). Factor 3\/2*l**b - 3*l**2 - 3\/2*l + 3.\nAnswer: 3*(l - 2)*(l - 1)*(l + 1)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 28673 + -28154. Solve 8*t + 463 = o for t.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 9 + -3 - 2 - (-1 - (-11 - -24))?\nAnswer: 18","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let p(c) = -2*c**3 - 19*c**2 - 11*c + 32. Determine p(-9).\nAnswer: 50","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 6150 is divided by 2019?\nAnswer: 93","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Expand 4*v**4 + 0*v**4 - 6*v**4 + (4*v - 4*v - 3*v)*(2 - 14*v**3 - 2).\nAnswer: 40*v**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there in 213.8366 weeks?\nAnswer: 2155472.928","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7*i = -8*i + f - 14, 0 = 3*i - 2*f + 42. Let n be (-42)\/(-294) - 1398\/i. What is the greatest common factor of 275 and n?\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1470031\/8 less than or equal to 183755?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Put -9139, -13, -33, 2 in ascending order.\nAnswer: -9139, -33, -13, 2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is 2 > 1\/2241271?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 38962896?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 19323256.\nAnswer: 2, 2415407","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.0005198 rounded to 4 decimal places?\nAnswer: 0.0005","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let a be ((-6)\/7)\/((-19)\/(-133)). Let m be (-81)\/(-2)*(-4)\/a. Let y = m + -22. Solve 10 = y*p, -5 = k - 2*k - 4*p for k.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -86*l + 1004 = -200 for l.\nAnswer: 14","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:06 PM and 6:46 AM?\nAnswer: 640","meta":{"dup_signals":{},"source":"measurement__time_test"},"subset":"dm_maths"} +{"text":"Question: Is 1106074 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let d(s) = -9*s**2 + 41*s - 64. Let i be d(-12). Let z = -752 - i. What is the hundreds digit of z?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) -13 (b) 1\/8 (c) -3 (d) -6\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 28254 and 18?\nAnswer: 84762","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -4*p**4 + p**4 + 2*p**4 - 3*p**4 - 1 wrt p.\nAnswer: -16*p**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*d - 9 = 1, -3*d = -4*f + 6. Let w(j) = 2149*j - 2149*j + 2 + 3*j**3 - j**2 - 2*j**3. Determine w(f).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7*b + 27*b = -680. Let q be 4 + 8 + 115\/b. Which is bigger: 5 or q?\nAnswer: q","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(h) be the first derivative of -3*h**2\/2 - 9*h + 3. What is the lowest common multiple of (-98)\/(-6) - 3\/9 and d(-7)?\nAnswer: 48","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 24223 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 83 is divided by 51.\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -0.3 - -0.7. Let g = 0.127 + 4.873. What is the second smallest value in g, z, -2?\nAnswer: z","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -563 + 563.2. Which is the closest to 2? (a) -5 (b) 3 (c) u (d) -5\/4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is 5 + 14a72?\nAnswer: 14a77","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is 77348237 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let s(r) = r**3 + 13*r**2 - 10*r + 1. Determine s(-14).\nAnswer: -55","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (3\/6)\/(2\/24). Let d(i) = -i**2 + 6*i - 6. Let o be d(c). Let x = 7 - o. What is the greatest common divisor of 13 and x?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (-4)\/(-14) - 36\/(-21). Suppose -5*z = -2*i - 51, 10*i - w*z = 5*i - 138. Let h = 4 - i. What is the units digit of h?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1527838888?\nAnswer: 2, 190979861","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let y(h) = h**2 + h + 9. Let j be y(8). Let a = j - 84. Suppose -q - 5*v = -8 - 17, 4 = 4*q - 4*v. Put 8, a, q in increasing order.\nAnswer: a, q, 8","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose r - 4*r = -4*n + 12, -5*n = -5*r - 15. Let d be 1\/3*(9 + r). Suppose d*z = 4*o - 10 - 112, 5*o = 5*z + 150. What are the prime factors of o?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -2114 divided by 10.\nAnswer: -1057\/5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((4 + (1*sqrt(720) + 2 + -1*(sqrt(720) + 0) - -3*-6*3*sqrt(720)))*-2)**2.\nAnswer: -31104*sqrt(5) + 8398224","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 24 and 168.\nAnswer: 168","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is 111 + 100010110001011?\nAnswer: 100010110010010","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is -12621.01 rounded to the nearest 1000?\nAnswer: -13000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Determine x, given that -x**2\/5 + 5*x - 46\/5 = 0.\nAnswer: 2, 23","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*n - 19 = -n - 2*j, 0 = 4*n - 5*j - 24. Suppose -2*h = -4*g + 2*g - 14, 2*h - g = n. Suppose -h*d = -3 - 5. What is the units digit of d?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -109\/192 and -25\/352.\nAnswer: 2112","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*t + 2*p = -20, t - 5*p - 27 + 7 = 0. Let o = -2448 + 1118. Let l be (-50)\/o + (-6)\/(-57). What is the second smallest value in l, 2, t?\nAnswer: l","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:56 AM and 2:51 PM?\nAnswer: 355","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 176179 is divided by 92.\nAnswer: 91","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-6*z + 3*z + 4*z)*(2 - 2 + 2*z)*(1 + 1 - 1)*(-3170 - 5510 - 28426).\nAnswer: -74212*z**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 599 minutes before 10:56 AM?\nAnswer: 12:57 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 219 - 214. Suppose -u + 8 = -2*m, 13*m = -p*u + 18*m + 35. Solve 0 = -u*b - 0*b + 30 for b.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -94 by -2.\nAnswer: 47","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify l**(-8\/9)\/(l*l*l**(-12\/5)*l*l*l) assuming l is positive.\nAnswer: l**(-157\/45)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -338 - 933*h + 933*h + h**2 + 346 - 3*h**2.\nAnswer: -2*h**2 + 8","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let a(m) = 1988*m + 550346. Determine a(-277).\nAnswer: -330","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of -1104, 11517, 32540, 61959, 99768, 145961, 200532, 263475?\n\"Answer: -l**3 + 4207*l**2 + 7*l - 5317","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0 - 3*j**3 + 0)*(-4 + 0 + 1) + 10*j**3 - 14*j**3 - 15*j**3.\nAnswer: -10*j**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of 68, 67, 66, 65, 64?\n\"Answer: -j + 69","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: -6.697 - -0.2\nAnswer: -6.497","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {z: 6, t: 1, x: 1, s: 1}. What is prob of sequence zx?\nAnswer: 1\/12","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -6\/11? (a) -609 (b) -32 (c) 0 (d) 242\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let h(p) = 10*p - 5*p - 3*p + 7*p - 33*p + 28. Does 28 divide h(-7)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence lll when three letters picked without replacement from {l: 3, e: 1}?\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -892971 divided by 9.\nAnswer: -99219","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 k and 1 c when two letters picked without replacement from ckkckcc?\nAnswer: 4\/7","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -76070*t - 76075*t - 76081*t + 228218*t.\nAnswer: -8*t","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let g(p) = 3*p**2 - 12*p + 11. Give g(3).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 w and 1 q when two letters picked without replacement from {q: 1, s: 1, h: 4, g: 1, w: 4}.\nAnswer: 4\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 3 - 0\/((-9)\/3)?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(p) = 2018*p + 7. Let o(f) = -6058*f - 22. Give -5*o(t) - 16*x(t).\nAnswer: -1998*t - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from ewxxwxxwxxxgwwxxx. What is prob of sequence ge?\nAnswer: 1\/272","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is 1208189 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*y = -3*r - 12 - 20, -20 = -3*y + 2*r. Suppose 6*x = y*x - 2*p - 2, -3*x + 5*p + 21 = 0. What is the highest common divisor of x and 8?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 23.161 - -0.039. Let z = y + -33.5. Let t = z - -10. Which is the third smallest value? (a) t (b) 6 (c) -4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (15*n**3 - 15*n**3 - 231*n**4 + (-n**4 + 2*n - 2*n)*(4 - 2 - 3) - 3 + 3 - 3*n**4)*(4 - 4 - 1).\nAnswer: 233*n**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -14*v = 27 - 69. Suppose v*b = 0, 0 = l + 4*b - 4 + 5. Which is smaller: -4\/7 or l?\nAnswer: l","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -3666 - 6361. Let x = m - -14228. Is x composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 7713264 a multiple of 73?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 6446\/8687 - 93\/146. Calculate the common denominator of -1\/12 and v.\nAnswer: 1428","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((b*(b**(13\/2)\/b)\/b*b)\/b**(14\/5))\/(b**12\/b)**(-24) assuming b is positive.\nAnswer: b**(2677\/10)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0 in -2830, -0.1, 24, 456, 4\/5?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let u(b) be the first derivative of 1\/3*b**3 - 8*b - 9\/2*b**2 - 5. What is the smallest common multiple of 4 and u(10)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(n) = 95*n - 559. Give o(6).\nAnswer: 11","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let a(t) = -t**2 + 2*t + 2. Let b be a(-4). Let x = 23 + b. Let n(l) = 3*l**3 - 2*l**2 - 2*l + 1. Let z(i) = i**3 - i**2 + 1. Give x*z(o) - n(o).\nAnswer: -2*o**3 + o**2 + 2*o","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is -2 + ((3 - 5) + 0 - -9)?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 3.137 + -0.137. Let s = -0.21 - -0.21. Let w = s - -0.1. Which is smaller: t or w?\nAnswer: w","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of -34, -31, -34, -49, -82, -139, -226?\n\"Answer: -i**3 + 3*i**2 + i - 37","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Round 48447270 to the nearest ten thousand.\nAnswer: 48450000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 368083981?\nAnswer: 557, 660833","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -35\/48 and -1\/57160.\nAnswer: 342960","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of d**3*v**2 - 175866*d**3 + 2988913*d**2*v**2 wrt d?\nAnswer: 6*v**2 - 1055196","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 18486 and 2730.\nAnswer: 647010","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is -1088500 rounded to the nearest ten thousand?\nAnswer: -1090000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-39)\/13 + (9 - -12 - 8).\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 14794090*b**2*w**2 + 33032*b*w**2 + 2*b*w - 3*b - w**2 + 2*w wrt b.\nAnswer: 29588180*w**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2*r**3 + 15552 - 43149 + 27597.\nAnswer: -2*r**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2 - 4 + 1)*(2 - 3 + 0)*(6*j + 0 + 0).\nAnswer: 6*j","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Express (-10*i + 4*i - 6*i)*(-5*i + 2 - 2) as l + m*i + h*i**2 and give h.\nAnswer: 60","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (-2450 - (0 + -2))*(12 + 475\/(-38)). What is the greatest common divisor of y and 90?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out 0.276 * 7836.\nAnswer: 2162.736","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*a - v + 58 = 0, 5*a - 216*v - 134 = -213*v for a.\nAnswer: 28","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Work out -12739918.7308 - 0.6.\nAnswer: -12739919.3308","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 25\/4 of a kilometer in meters?\nAnswer: 6250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 34033757 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -22660*j**4 - 119*j**3 + 5*j**2 + 121285*j?\nAnswer: -543840*j - 714","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -350548\/63 + 5564. Let g = a - -2\/63. Is g < 0.2?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -1.49 + 1.3. Let q = 1230.69 - 1238. Let g = q + s. Round g to zero decimal places.\nAnswer: -8","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 9 + -5. Which is the closest to 45? (a) -1 (b) 1 (c) r\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b be ((-48)\/(-18))\/(10\/(-144)). Let o = -1793 + 1754. Which is bigger: b or o?\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is 10 - 243324422?\nAnswer: -243324412","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let s(l) = -25292*l. Let g(t) = 2*t**2 + 37*t. Calculate g(s(f)).\nAnswer: 1279370528*f**2 - 935804*f","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 4 + 11 + 5 + 8 + 73*x - 30.\nAnswer: 73*x - 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Put -2\/15, -0.07994, -82, 0 in decreasing order.\nAnswer: 0, -0.07994, -2\/15, -82","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -3.28 + 0.28. Which is the nearest to 1? (a) 1\/3 (b) 2\/15 (c) v\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 160954 to the nearest integer?\nAnswer: 54","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -1 + (2*sqrt(60)\/(sqrt(64)*2 + sqrt(64)))\/((sqrt(720) + -2*sqrt(720))*4 + sqrt(720)*-1*-1).\nAnswer: -1 - sqrt(3)\/216","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let q(p) = -2*p - 9. Let y be q(-6). Suppose -b + y*b - 16 = 0. Let x = -24 + 39. What is the remainder when x is divided by b?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 65, 4, -17, -4607 in descending order.\nAnswer: 65, 4, -17, -4607","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from oehkhekoeekhhlkh. What is prob of picking 1 k, 1 o, and 1 l?\nAnswer: 1\/70","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -97\/50 and -64\/32575.\nAnswer: 65150","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (-48)\/30*(-175)\/20. Solve 2*k + y = 6*k + 7, 3*y - b = 5*k for k.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 3, -1, -96, 1\/3, 171 in decreasing order.\nAnswer: 171, 3, 1\/3, -1, -96","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 1650 and 2327263950?\nAnswer: 1650","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 66 + -57. Let g be (-2)\/6 - (4 + 60\/n). Let h(f) = -26*f**2 - 11. Let q(o) = 5*o**2 + 2. Calculate g*q(c) - 2*h(c).\nAnswer: -3*c**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let p be 33 - (2 + 6\/(-1))*1. Suppose 0 = -4*s + 5*s - 3*l + 1, 3*s - l = p. What is the common denominator of s + -11 - -1*103\/(-40) and 51\/44?\nAnswer: 440","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (-2)\/4*(-6 - -6). Suppose t = 3*c - 5*m + 1, c - m + 3 = 2*m. What are the prime factors of c?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (5*(sqrt(833) - (sqrt(833) - (sqrt(833) + -1))) + -1)**2 - (-2 + (sqrt(1377)*-1*-1)**2 + sqrt(1377)).\nAnswer: -429*sqrt(17) + 19486","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let g(p) = -p**4 - 5*p**2 - 3*p - 3. Let f be (28\/(-70))\/((-1)\/(-5)). Let v(l) = -l**4 - l**3 - 4*l**2 - 2*l - 2. Let h(c) = f*g(c) + 3*v(c). Factor h(w).\nAnswer: -w**2*(w + 1)*(w + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 d, 1 g, and 1 j when four letters picked without replacement from {d: 5, j: 3, g: 1, t: 6}?\nAnswer: 2\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -79\/36 and 97\/48?\nAnswer: 144","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -2\/3? (a) 1 (b) 0.9 (c) -2\/13 (d) 0.5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Factor w**2 + 6410855*w + 12821706.\nAnswer: (w + 2)*(w + 6410853)","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 xoylhcloh.\nAnswer: 1\/36","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*o + 2*j = 48, -2*j - 24 = 2*o - 4*j. Is (-4 - o - -16445)\/(6\/10) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(l) = 2*l**3 - 13*l**2 + 5*l + 10. Let g be x(6). Suppose 157 = g*i - 159. What is the units digit of i?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (-11)\/(-7) - (0 - -1). Let n = 1.3 + 2.7. Let t = -0.1 + 0.2. Sort n, z, t.\nAnswer: t, z, n","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 9992543?\nAnswer: 11, 269, 307","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let u be 48\/42*(-280)\/(-160). Suppose 2*i - 16 = 4*i. Let d be (u\/(-6))\/(i\/(-6)). Which is the nearest to d? (a) 0 (b) -1 (c) 1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -1245 = -3*f - 0*f + 5*a, a = 5*f - 2097. Suppose 4*m = -3*m + f. What is the remainder when 76 is divided by m?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5200 = -55914*c + 55514*c for c.\nAnswer: -13","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of -436, -1604, -3502, -6130, -9488, -13576, -18394?\n\"Answer: -365*q**2 - 73*q + 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is 92 - -22?\nAnswer: b4","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let b(w) = -w**3 - 7*w**2 + 4*w + 17. What is b(-7)?\nAnswer: -11","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let n(o) = -804*o**3 + 12*o**2 + 12*o + 15. Let i be n(-4). Suppose 36*t = -9*t + i. List the prime factors of t.\nAnswer: 31, 37","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1855820*k + 4140 = -1855730*k for k.\nAnswer: 46","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -4*p + 20*p - 3*p - 12*p.\nAnswer: p","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: ((-7)\/(-2))\/(14\/(-35)*185\/(-148))\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -2\/3143 in 3, 1, 0.2, 4, 14, -2\/5?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 13635158?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Convert 2444 (base 7) to base 12.\nAnswer: 642","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let u(p) = p**3 - 105*p**2 - 136*p + 3130. Calculate u(106).\nAnswer: -50","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 76 and 8.\nAnswer: 152","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*r + 5 = -20. Suppose -23 + r = -2*p. Calculate the greatest common factor of 45 and p.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: -629784829 - -1161\nAnswer: -629783668","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 212 + -207. Solve -2*f + 4*a = 7*a - 10, 15 = 5*f + l*a for f.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from kzkaakakaa. Give prob of sequence kaaz.\nAnswer: 1\/63","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Determine m so that -6260*m**2 + 9*m**3 - 3020 + 9884 + 34324*m + 16*m**3 + 49180*m**2 = 0.\nAnswer: -1716, -2\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 14 a factor of (47\/(-4) - -12) + 10987\/4?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 1183 divide 331509891?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let d(m) = m**2 + 3*m - 5. Suppose n + 12 = -n. Let u be d(n). Suppose -31 = -4*r + u. What is the units digit of r?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -23918 - -36720. Is q a multiple of 2?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 16164262 a multiple of 6?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is -72 (base 15) in base 8?\nAnswer: -153","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from ssvsbvsbjyvsyssysyy. Give prob of picking 1 j, 1 s, and 2 y.\nAnswer: 20\/969","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -23373 - -140239\/6. What is the third smallest value in 0.19, -78, p?\nAnswer: 0.19","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(y) be the third derivative of y**9\/168 - y**7\/7 - 2*y**5\/5 + y**3\/2 - 103*y**2. What is the third derivative of t(s) wrt s?\nAnswer: 360*s**3 - 720*s","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*x - 4*s + 9*s = -23, x + 5*s + 17 = 0. Suppose 3*b - 8 = -b. Let n(i) = i**b + 0 + 0 + 4*i. Calculate n(x).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(s) = s**3 - s**2 + s. Let n(i) = -13*i**3 - 2*i**2 + 2*i - 1. Let l(r) = -2*d(r) + n(r). Calculate the remainder when 40 is divided by l(-1).\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 16814 is divided by 578.\nAnswer: 52","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: -0.35 times 0.183\nAnswer: -0.06405","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let a(l) = l + 11. Let y be a(-6). Let v = 28 - 16. Solve -v = -y*f + 3 for f.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(r) be the first derivative of -r**5\/120 + r**4\/24 + 8*r**3 + 20. Let w(l) be the third derivative of z(l). Let n(x) = 3*x - 2. Calculate 3*n(s) + 8*w(s).\nAnswer: s + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 964964 to the power of 1\/6, to the nearest integer?\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is 1010010011001 - -10110110011?\nAnswer: 1101001001100","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1340733?\nAnswer: 3, 446911","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let u(j) = j. Let h(b) = -237*b - 6. Let x(y) = 47*y + 1. Let s = 145 + -147. Let g(d) = s*h(d) - 11*x(d). What is u(g(z))?\nAnswer: -43*z + 1","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-3 + (5 + -5 + (sqrt(605) + -3 + sqrt(605))*-2)*-3 + -4)**2.\nAnswer: -6600*sqrt(5) + 87745","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of 478, 1005, 1526, 2041?\n\"Answer: -3*l**2 + 536*l - 55","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let q(z) = -34*z + 14. Let n(k) = 68*k - 26. Let h(p) = -4*n(p) - 10*q(p). What is the derivative of h(t) wrt t?\nAnswer: 68","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -13894 - -13902. Solve 56 = f*m - 8 for m.\nAnswer: 8","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of -351868, -703696, -1055524, -1407352?\n\"Answer: -351828*s - 40","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand 0*p - 6*p**3 + 0*p + (-p + 3*p - p)*(0*p - 2*p**2 + 0*p) - 4*p**3 + p**3 + 4*p**3 + 2*p**3 - 3*p + 3*p.\nAnswer: -5*p**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 0 divided by -11772329?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 11870673 - -7374311. Suppose u = -5*y - 4*n, 11*y - n + 3849004 = 10*y. What is y rounded to the nearest one hundred thousand?\nAnswer: -3800000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 42 - 42.4. What is the closest to 9 in f, 1, 2?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 18\/12*4\/42.\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let s(f) = -f**3 - 6*f**2 - 6*f - 4. Let c be s(-4). What are the prime factors of ((-13)\/(-2))\/((-6)\/c)?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 493 minutes before 1:30 AM?\nAnswer: 5:17 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is 2733589 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -6, -38, -92, -168, -266, -386, -528?\nAnswer: -692","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -1 + 0.0458.\nAnswer: -0.9542","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let w(b) = 412*b - 467. Calculate the remainder when w(3) is divided by 194.\nAnswer: 187","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 607393 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 1\/9 in 91, -0.3, 1\/5, -0.05?\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is -5e + f260d4?\nAnswer: f26076","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Sort -9, -3, -1 in decreasing order.\nAnswer: -1, -3, -9","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of 886107, 1772202, 2658299, 3544398, 4430499, 5316602, 6202707?\n\"Answer: i**2 + 886092*i + 14","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let w be 39\/(-9) + (-4)\/6. Let u(j) = j**2 + 6*j + 6. Determine u(w).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -12 divided by -1.\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*u + 0*u + 0*u + (0 - 1 + 2)*(3*u - 3 + 3) + 5*u - 4*u + 0*u)*(-2 + u + 2).\nAnswer: 6*u**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-10*j**2 - 70 + 70)*(2*j + j - 4*j) - 152*j**3 + 11 + 6 - j + 151*j**3.\nAnswer: 9*j**3 - j + 17","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 3\/2 in 469, -3, -9?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: -315.307 times -0.03\nAnswer: 9.45921","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let u(r) = -3*r - 2. Let c be u(-9). Suppose -3*i - 5*t = -73, 4*i - 29 = 2*t + c. Calculate the greatest common divisor of i and 112.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 130 - 125. Suppose -15 = -o*m - 0*m. Suppose -l + 3*z = -340 - 1670, -m*z - 4029 = -2*l. Is l a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -139\/60 and 3 + 126\/(-48) + 12\/(-16).\nAnswer: 120","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (76 + -2)*5\/(-10). Let s(q) = -25*q + 20. Let v be s(-2). Let g = i + v. Calculate the least common multiple of g and 24.\nAnswer: 264","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.0000144097372 rounded to six dps?\nAnswer: -0.000014","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-335)\/134 - 98\/(-36).\nAnswer: 2\/9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Find s such that s**2\/9 - 485*s\/9 - 252502\/3 = 0.\nAnswer: -661, 1146","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {r: 1, s: 2, j: 2, f: 1}. Give prob of picking 1 r and 2 s.\nAnswer: 1\/20","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is -83 - 9b222?\nAnswer: -9b2a5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ppd when three letters picked without replacement from ppppxxxppddp.\nAnswer: 7\/110","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of 57414800, 57414798, 57414796?\n\"Answer: -2*i + 57414802","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 31 - 180. Let w = 309 + r. Suppose 5*l - 7*l = -w. Does 13 divide l?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 100.83424325 to one decimal place.\nAnswer: 100.8","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (224\/(-56))\/((-2)\/4)?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 869.225 times 0.122?\nAnswer: 106.04545","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of -4080, -3443, -2380, -891?\n\"Answer: 213*h**2 - 2*h - 4291","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*v - 16*o + 19*o = -65, 3*v = 4*o + 28. Which is the biggest value? (a) 0.4 (b) v (c) -4 (d) -1\/5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.0003444 rounded to five decimal places?\nAnswer: -0.00034","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let c(h) be the third derivative of h**8\/42 + 11*h**5\/60 + h**2. Find the third derivative of c(p) wrt p.\nAnswer: 480*p**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 1643?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -16 - (-129 + 29 + -12).\nAnswer: 96","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Determine w, given that 4*w**2 - 66686912*w - 66686916 = 0.\nAnswer: -1, 16671729","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of -293, -305, -317, -329, -341?\n\"Answer: -12*m - 281","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 281211510*j - 188364887.\nAnswer: 281211510","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is 43937762587 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*w - 33 = 3*j - 4, 5*w = -2*j - 34 for j.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let v(c) = -c + 1. Let z(s) = -4*s**2 + 6*s - 6. Let a(m) = -6*v(m) - z(m). Calculate a(1).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose j - 2 = -6. Suppose 0*v + 5*v + 40 = 5*d, 0 = d + 5*v + 34. Sort 2, j, -17, d in increasing order.\nAnswer: -17, j, d, 2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -61\/266 and -85\/1406.\nAnswer: 9842","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve -30*r - 119 + 241 = -358 for r.\nAnswer: 16","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -625 - -625.047. Let g = -7.653 + 8. Let h = g - v. Which is smaller: -2 or h?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {h: 4, p: 2, f: 3}. What is prob of sequence pf?\nAnswer: 1\/12","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -366*i**3 + 240*i**3 + 239*i**3 + 236*i**3 - 334*i**3.\nAnswer: 15*i**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 4*q**2 + 579*q**3 - 4*q**2 - 599*q**3.\nAnswer: -20*q**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Convert 5552.169um to millimeters.\nAnswer: 5.552169","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -462 - -5527\/12. Let r = -3\/4 - u. Let k = 1 - r. Which is the closest to k? (a) 0 (b) -1 (c) 1\/4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -2081 + 2081.000671. Round x to four decimal places.\nAnswer: 0.0007","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 16*f - 215 = 537. Calculate the greatest common divisor of 47 and f.\nAnswer: 47","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -21926059.6 rounded to the nearest one million?\nAnswer: -22000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 856835515?\nAnswer: 5, 171367103","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 77 minutes before 3:03 PM?\nAnswer: 1:46 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 110*m**2 + 37*m**3 + 183*m**2 - 293*m**2.\nAnswer: 37*m**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 122*x - 22580 = 118*x. What is the units digit of x?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 8\/(-20) - (-49491)\/15 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 749 + -661. Calculate the least common multiple of -9*(-5 + 70\/15) and b.\nAnswer: 264","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: -1.7*121161\nAnswer: -205973.7","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 3\/(8 - -1) - (-27207)\/27?\nAnswer: 2, 3, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of -269, -285, -311, -347, -393, -449?\n\"Answer: -5*r**2 - r - 263","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 193527*s**2 - 10*s - 386218*s**2 + 10*s + 192695*s**2.\nAnswer: 4*s**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 96885, 193772, 290659?\nAnswer: 387546","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (((-3)\/(-5))\/((-99)\/990))\/((-2)\/(-4))?\nAnswer: -12","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is 12 + -16a254?\nAnswer: -16a242","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let d(q) = 58*q**2 - 1218*q + 39. Let o be d(21). Solve -o*t + 222 = -76*t for t.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1\/10, 6, -1046, -29.\nAnswer: -1046, -29, 1\/10, 6","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 10*f**5 + 5564*f**4 + 61924*f**3 - 112240*f**2 + 16402*f + 28340 = 0. Calculate f.\nAnswer: -545, -13, -2\/5, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 30788 (base 9) in base 16?\nAnswer: 4f6a","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -111*l*s*w + l*w + 227*s*w wrt l.\nAnswer: -111*s*w + w","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 373 minutes after 2:16 PM?\nAnswer: 8:29 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 63*y**3 + 382*y - 382*y.\nAnswer: 63*y**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: 474785 divided by 4\nAnswer: 474785\/4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of -8550, -8615, -8686, -8763, -8846, -8935, -9030?\n\"Answer: -3*p**2 - 56*p - 8491","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Determine s, given that -s**2\/6 + 85*s\/3 - 169\/6 = 0.\nAnswer: 1, 169","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let p(h) = 4*h**3 + h**2 + 6. Let v(s) = -98*s**3 + 3415*s**2 + 400*s - 434. Let f(w) = -7*p(w) - v(w). Find r, given that f(r) = 0.\nAnswer: -2\/5, 2\/7, 49","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {a: 1, k: 1, i: 3, q: 1, e: 1}. Give prob of sequence ikae.\nAnswer: 1\/280","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*w - 3*w - 2*w = 0 for w.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -3729510337*y + 7459020690*y - 3729510356*y.\nAnswer: -3*y","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let s(m) = -26*m + 2. Let q be s(-5). Suppose 8*d + 5*d - 156 = 0. What is the highest common factor of q and d?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(q) = 3*q + 1. Let t be x(6). Let o = -1 - -2. Let g = t - o. What is the tens digit of g?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*w = -5*m + 10 + 25, 0 = -4*m + 12. What is the derivative of 3 + 1 - 4*t - w + 4 wrt t?\nAnswer: -4","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s be 0\/(2 + -2 + -2). Suppose 2*o = -o + 15. Suppose -o*c + 2*r + 37 = 0, -3 = 3*r - s. Solve 0 = -2*m - 5*h - c, 0*h + 3 = -2*m - h for m.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -1165 in 4, 13.66, 1\/10?\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let d(p) be the third derivative of 7*p**5\/60 - p**2. Let i(s) = -6*s**2. Suppose 1217*g - 1225*g - 40 = 0. Give g*d(o) - 6*i(o).\nAnswer: o**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 84997 is divided by 66?\nAnswer: 55","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Put -0.225, 3, 5, 0.4 in ascending order.\nAnswer: -0.225, 0.4, 3, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 58111.\nAnswer: 58111","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let n(t) = 3*t**2. Let i(x) = 23 - 23 - 14*x**2. Suppose -k - 16 - 36 = 2*a, 0 = 4*a - 3*k + 124. Let g(r) = 77*r**2. Let s(y) = a*i(y) - 5*g(y). Give n(s(v)).\nAnswer: 147*v**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-103*p**3 + 152*p**3 + 68*p**3)*(0 + 5 - 4) - 2*p**3 - 2*p**3 + 6*p**3 to a*p**2 + b*p + g + v*p**3 and give v.\nAnswer: 119","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -16*l*q**3 - 5*l*q**2*y + 229*l*q**2 + 979*l*q - 3345556*q**3*y + q**2 - q + 2 with respect to y.\nAnswer: -5*l*q**2 - 3345556*q**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-7305)\/3409*63\/30)\/((-2)\/(-36))?\nAnswer: -81","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -i - 2*i = -2*q + 5, -3*i - 2*q = 13. Let l be (-2)\/8 - 15\/(-12). Let g = l - i. List the prime factors of g.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (27\/630*-5)\/(1*12\/63).\nAnswer: -9\/8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 741829 to the nearest integer?\nAnswer: 91","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let r(b) = -5*b - 22. Let i be r(-5). Let f = -7 - -13. What is the hundreds digit of (44\/f)\/(i - 132\/45)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {d: 1, o: 4, c: 1, e: 1, r: 1}. What is prob of picking 1 d, 1 e, and 1 c?\nAnswer: 1\/56","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 254829*g + 581532 wrt g?\nAnswer: 254829","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let a(n) = -13*n**3 - 4*n**2 - 6*n - 1. Let q(y) = -3*y**3 - y**2 - y. Let v(s) = a(s) - 4*q(s). What is v(2)?\nAnswer: -13","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is -5 + -55014?\nAnswer: -55020","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {d: 1, u: 2, z: 2}. Give prob of picking 1 z, 1 u, and 1 d.\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let u(j) = 12*j - 864. Let l be u(72). Let t = 13 + -19. Sort l, t, 10.\nAnswer: t, l, 10","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 289.09494 seconds to hours.\nAnswer: 0.08030415","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 166373560?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -g - 12*g = -26. Suppose 4*h = 3*c + 34, h + g*c = 4*h - 26. What is the greatest common divisor of 10 and h?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from nxzonodz. Give prob of sequence xzoz.\nAnswer: 1\/420","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 164917203?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 7809 to the power of 1\/2, to the nearest integer?\nAnswer: 88","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -2 in 36140, 2\/11, 1.1?\nAnswer: 2\/11","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 1083*a**3 + 5341*a**3 - 6425*a**3.\nAnswer: -a**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 72.97706 days in hours?\nAnswer: 1751.44944","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let b(n) = 22 - 79 + 31 + 25. Let s(z) = 5*z + 1. What is 3*b(x) + s(x)?\nAnswer: 5*x - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0, 4, 3252, 2, -5 in ascending order.\nAnswer: -5, 0, 2, 4, 3252","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve -88*o - 90*o + 2343 - 563 = 0 for o.\nAnswer: 10","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-6 + 2)*((-11)\/(-44))\/((-9)\/126).\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 3 - 1. Let f = 13 - u. Suppose -4*s + h = -35, s - 2*s + f = 2*h. What is the units digit of s?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((u**(-2\/13)*u)\/(u**(-1)\/u))**(-3) assuming u is positive.\nAnswer: u**(-111\/13)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (k**2\/(k*k*k*k**(4\/3)))\/(k*k\/(k\/k**1)*k)**(3\/7) assuming k is positive.\nAnswer: k**(-76\/21)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -116*s - 13*s**2 + 113*s + 32*s - 18*s**2.\nAnswer: -31*s**2 + 29*s","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -1800*z**3 - 2854*z - 1254*z**3 + 525*z**3 wrt z?\nAnswer: -15174*z","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 336*j + 207*j = 78*j + 28*j + 7429 for j.\nAnswer: 17","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 143104?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let y(p) = -2*p**2 - 2*p + 17. What is y(7)?\nAnswer: -95","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1162*p - 25088 = -1946*p for p.\nAnswer: 32","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*s + 2*s = 30. Suppose 0 = -2*p + g - 14, g = p - 4*p - 31. Let v = p + 9. Solve -4*f + v*i - i + s = 0, -5*f = 5*i for f.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 18333223 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Express 7*a**2 - 3*a**2 - a**2 - 23*a + 11*a in the form k + u*a + o*a**2 and give o.\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (53920\/(-18872))\/((-1)\/(-14)).\nAnswer: -40","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -20, -31, -64, -131, -244, -415, -656?\nAnswer: -979","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 20089?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let p(z) = 36*z**2 - 218*z + 9. What is the hundreds digit of p(41)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(m) = 2*m**2 - 3*m + 1. Calculate a(2).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 390\/(-40)*(-8)\/3 is divided by 15?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -71 + 35. Let q = -99973\/20 + 4997. Let j = q + 5\/4. Which is smaller: s or j?\nAnswer: s","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -14.6 - -15. Let k = 0.7 - c. Let h = 8 - 4. Put h, k, 2 in decreasing order.\nAnswer: h, 2, k","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -584 divided by 131989.\nAnswer: -584\/131989","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let o(l) = -l - 10. Suppose 0 = -4*f + 5*j - 33, f - j = 6*f + 63. Let b be o(f). Suppose -2*y - 10 = -4*u + 3*u, 15 = -5*u - 3*y. Solve b*g = -u*g - 10 for g.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 291971 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let s(i) = -119*i**2 + 16*i + 15. Give s(-1).\nAnswer: -120","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*v - 84 = -4*v - 4*s, -s - 30 = -2*v. Let g = v + -9. What is the units digit of g?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 14880 a multiple of 8?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let t be 12*-2*(-1)\/(-4). Let n be ((-3)\/2)\/((-3)\/t). Calculate the common denominator of n\/2*(-101)\/9 and -101\/16.\nAnswer: 48","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of -8, 13, 66, 163, 316?\n\"Answer: 2*u**3 + 4*u**2 - 5*u - 9","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -3003 - -3007. Solve -5*w + o*j - 37 = 0, -4*w + w = -3*j + 24 for w.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -326 - -195. Let z = a + 89. Let l = z + 41.999999. Round l to 5 dps.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*n + 6*n. Solve -v + g = -2*v, n = -5*g + 5 for v.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 271863625 divided by 1213.\nAnswer: 224125","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -58 - -58.1. What is the nearest to -2 in -2\/5, j, 0.3?\nAnswer: -2\/5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is 22 - 0?\nAnswer: 22","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in -0.01, -3, -0.71, 0.4?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (1 + 39\/15)*(-30)\/(-9). List the prime factors of -4 - (-4)\/(a\/87).\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -11326 = -53*x + 592821. Is x a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((u*u**0)**31*u**(-1\/8)*u\/((u**(1\/4)*u)\/u))**(-11\/6))**(-49) assuming u is positive.\nAnswer: u**(136367\/48)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let i(k) be the first derivative of k**6\/36 - k**5\/15 + k**3\/9 - k**2\/12 + 9. Factor i(y).\nAnswer: y*(y - 1)**3*(y + 1)\/6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-7)\/6 + (-2)\/(-3)\nAnswer: -1\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let f be 52\/(-8) + 5 - 50\/(-4). Let p(a) = -a + 13. Give p(f).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 0 or 29054?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is five eighths of a millennium in months?\nAnswer: 7500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let z(c) = -c**2 - 3*c - 3. Let l be 0 + -1 - (-5 + 2). Suppose -4*h = -5 - 3. Let y(p) = -1 + 0 - h*p - 1. Calculate l*z(x) - 3*y(x).\nAnswer: -2*x**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let j(i) be the third derivative of -i**4\/6 - i**3\/3 + i**2. Let o(m) = -5*m - 2. Suppose -4 - 2 = 2*r. Determine r*j(c) + 2*o(c).\nAnswer: 2*c + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -27*i = -15*i + 504. List the prime factors of (-11 + i)\/(1\/(-2)).\nAnswer: 2, 53","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) 135.93 (b) -44 (c) -2 (d) 0.03\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Product of -0.203 and 0.0816.\nAnswer: -0.0165648","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 465 in 0.1, 5, 3?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-5*c**2 + 16*c - 16*c)*(-1276*c**2 - 54 - 103 + 157).\nAnswer: 6380*c**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 75 + -373\/5. Let g(l) = -l**3 + 3*l**2 + 3. Let k be g(3). Which is the third smallest value? (a) 4\/5 (b) w (c) k\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 602?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 3252 and 48?\nAnswer: 13008","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve 461*p + 1909604 = 1922512 for p.\nAnswer: 28","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let r(i) = -i**2 - 8*i - 11. Calculate r(-5).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -10*h - 7795 = 5925. What is the remainder when ((-2)\/(-4))\/(-3 + h\/(-456)) is divided by 20\/2 - 4\/(-2)?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: 0.0049+-12.5427\nAnswer: -12.5378","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -b*i**2*o - 10*b*i*m + 51*b*m*o**2 - 39*i**2*m*o**2 + 2*i*m*o**2 - 4*i*m*o - m*o wrt b.\nAnswer: -i**2*o - 10*i*m + 51*m*o**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 23 in -3\/4, -2, -1\/11, -2\/5?\nAnswer: -1\/11","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of 838, 3239, 7212, 12757?\n\"Answer: 786*x**2 + 43*x + 9","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: -0.06 times 663821\nAnswer: -39829.26","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-5*(sqrt(28)\/sqrt(4) + 2) + sqrt(504)\/sqrt(32))**2.\nAnswer: 70*sqrt(7) + 743\/4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -3? (a) 0.1 (b) -0.1 (c) 0.49 (d) -30\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*k**2\/3 - 2302580*k\/3 - 662734332050\/3 = 0 for k.\nAnswer: -575645","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 22168622?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is -179212 (base 10) in base 16?\nAnswer: -2bc0c","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 44\/11*(-10)\/(-4).\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let w(t) = -t**3 + 34*t**2 - 44*t - 95. What are the prime factors of w(28)?\nAnswer: 11, 307","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there in seventeen quarters of a day?\nAnswer: 6120","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Expand (6*w - 3*w + 7*w + (0 + 1 + 5)*(4*w - 2*w - w))*(0*w**3 - 13*w**4 + w**3 + 15*w**4 + 2*w).\nAnswer: 32*w**5 + 16*w**4 + 32*w**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: 57 - (22 + 19 + -78)\nAnswer: 94","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -2926637\/306 + 9564. Which is bigger: 0 or q?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth smallest value? (a) -0.5 (b) 0 (c) 0.0729 (d) -2\/45 (e) 3\/7\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let p(v) be the first derivative of 10\/3*v - 6 + 5\/6*v**2 - 5\/9*v**3. Suppose p(r) = 0. Calculate r.\nAnswer: -1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(h) = 116*h**2 + 14*h + 14. Suppose y - 3*y + 4*b = -14, 3*b - 2 = -y. Let g(r) = -39*r**2 - 5*r - 5. Determine y*l(w) + 14*g(w).\nAnswer: 34*w**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 3 - 4. Let g = 3 - t. What is the third smallest value in g, 0.5, -6?\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(f) = 51*f**3 - 4*f**2 - 3*f + 5. Is w(3) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*i = -4*i + 7. Calculate the remainder when 16 is divided by i.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 34818.471ms in days?\nAnswer: 0.0004029915625","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(2448) - 5*sqrt(2448)*2)**2 + (sqrt(2448) - (2 + sqrt(2448))*2)**2 + 0.\nAnswer: 96*sqrt(17) + 200752","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose n - 40 = 9*n. Let r(a) = -2*a**2 - 5*a - 6. Let q(c) = -2*c**2 - 4*c - 5. Determine n*r(y) + 6*q(y).\nAnswer: -2*y**2 + y","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Find m such that -3*m**3 - 33*m**2 + 3042*m - 26568 = 0.\nAnswer: -41, 12, 18","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 13*w - 16*w + s + 1, 2*s = 3*w + 1 for w.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*i - 3*h + 21 - 93 = 0, -2*i - 4*h + 8 = 0. Suppose -4*z + 0*z = 0. Let x be -1 + -1 - (-14 - -4). Solve z = -5*g + i + x for g.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -15 by -33379405.\nAnswer: 3\/6675881","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -102 - -111. Suppose 3*a - 3 = t. Let r be 30\/(-12)*a\/(-5). Solve 3*s = 7 + r for s.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(m) = 6*m**2 - 15*m + 21. Let c(x) = 11*x**2 - 29*x + 42. Let n(h) = -5*a(h) + 3*c(h). Let w be n(8). Let r = 167 - w. List the prime factors of r.\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -77203 divided by -2?\nAnswer: 77203\/2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 1821 + 500*h**3 - 1121 + 2*h**2 - 893 wrt h?\nAnswer: 3000","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(36) + sqrt(3600)*-2)\/((sqrt(24)*-1)\/sqrt(2)))**2 + (-1*sqrt(60)\/sqrt(5)*2)**2.\nAnswer: 1131","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence rrrr when four letters picked without replacement from rrrrr.\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let k(j) = j + 2. Let f(a) = 132*a**2. Determine k(f(n)).\nAnswer: 132*n**2 + 2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Factor -b**2 - 8*b - 15.\nAnswer: -(b + 3)*(b + 5)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let f(y) = 17 - 3422*y**2 - 13 - 64703*y**2 - y. Let v be f(4). Round v to the nearest 100000.\nAnswer: -1100000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1433849 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 8699.9285 rounded to the nearest 10?\nAnswer: 8700","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 149\/19890 and 59\/30.\nAnswer: 19890","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -1 in 1, 3, -10.0136?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -27.57 + 26.57. What is the nearest to -0.2 in -23.6, s, 4?\nAnswer: s","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -2*z**3 + 1572*z**2 - 7*z - 188 wrt z.\nAnswer: -12*z + 3144","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 69*i + 19*i - 9090 = 75*i - 88*i for i.\nAnswer: 90","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 1018432 + -1530533. Let o = f - -512006.0047. Let s = o - -95. What is s rounded to 3 decimal places?\nAnswer: 0.005","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(j) = -j**3 + 9*j**2 - 4*j - 6. Let p be z(6). Suppose -3*q = -24 + p. Let y = q + 30. List the prime factors of y.\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -52831968 divided by 6.\nAnswer: -8805328","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 34709 - 104126\/3. Determine b, given that 4*b + 12 + c*b**2 = 0.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 8803.70838 rounded to 1 decimal place?\nAnswer: 8803.7","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Sort 20, 26, 13, -201 in descending order.\nAnswer: 26, 20, 13, -201","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let r(q) = 5*q**3 - 3*q**2 + 4. Let i(p) = -p**3 + p**2 - 1. Give 22*i(t) + 6*r(t).\nAnswer: 8*t**3 + 4*t**2 + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Put 1, 2, 4, -12 in decreasing order.\nAnswer: 4, 2, 1, -12","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -2428, -2426, -2424, -2422, -2420?\nAnswer: -2418","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 4425324 is divided by 3170?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 343978 is divided by 195.\nAnswer: 193","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let i(s) = -s**3 - 25*s**2 - 21*s + 66. What is i(-24)?\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 285 is divided by 38.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 733 or 734?\nAnswer: 733","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let b(c) = -2271*c**3 + c**2 + 26*c + 3. Is b(-4) 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 {u: 5, m: 14}. Give prob of picking 3 u.\nAnswer: 10\/969","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -0.46 in 25, 5\/76, 3\/13?\nAnswer: 5\/76","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 133920483?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let t(u) = -193*u**2 + 2*u. Let f(r) be the second derivative of r**4\/12 + 67*r**2\/2 - 112*r. Let l(y) be the first derivative of f(y). What is t(l(i))?\nAnswer: -772*i**2 + 4*i","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -3*(-3 + sqrt(24)\/sqrt(8) + sqrt(3) + 4 + sqrt(33)\/((-5*sqrt(121))\/sqrt(11)))**2.\nAnswer: -804\/25 - 54*sqrt(3)\/5","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: -43818720 divided by 88\nAnswer: -497940","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is 1026941 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 2\/5 - -12*152\/(-160)?\nAnswer: -11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 5*l - 5*m - 465, -3*l - 7*m = -2*m - 263. Is l a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (-5)\/(4\/(-72)*2). Let o(f) = -17*f**3 - 2*f - 1. Let j be o(-1). Calculate the greatest common divisor of k and j.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r be 50000*(-22 - (4 - 3)). Round r to the nearest one hundred thousand.\nAnswer: -1200000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(w) = 12*w - 72. Let t be d(6). Let b = t + 4. Suppose -2*i + 85 = 3*x, b*i + x = 104 + 51. Does 5 divide i?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*i = o - 6*o, -4*i + 18 = o. Let c(f) be the first derivative of -1 - 1\/10*f**6 + 0*f + 0*f**2 - 3\/5*f**i - 6\/5*f**4 - 4\/5*f**3. Solve c(u) = 0.\nAnswer: -2, -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u be 12\/54 + 75\/27. Suppose -u*p + 45 = -45. Calculate the common denominator of 117\/14 and p\/(-45) + (-94)\/4.\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1*74\/(-380) - 45\/(16245\/38).\nAnswer: -3\/10","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 0 + -0.5. Let n = -0.5 - -0.6. Which is the nearest to n? (a) -1\/6 (b) o (c) -2\/9\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (8 - 1 - 11) + 6.\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 342043659 to the nearest integer?\nAnswer: 18494","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let u(f) = -2*f**2 + 3*f - 2. Let w be u(8). Let s = 109 + w. Solve -s*n = -11 - 4 for n.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 402 minutes after 9:00 AM?\nAnswer: 3:42 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 775 is divided by 153.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is -3a (base 12) in base 2?\nAnswer: -101110","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -0.09 + 3.49. Let p = 4 - o. Round p to 1 dp.\nAnswer: 0.6","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*y - 2*l = 3*l + 4, -4*y = -2*l - 12. Let c be 0 - (2*-1 + 0). Suppose 10 = c*p - p. Calculate the smallest common multiple of p and y.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -324 + 1198 = 46*l for l.\nAnswer: 19","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 0.02 - -1.98. Let j = -1.996 + q. Round j to 2 decimal places.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 4*d**2 - d**2 + 637068*d**3 - 3*d**2 - 637067*d**3 + 8.\nAnswer: d**3 + 8","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Express -181 - h**2 - 168 + h**3 + 533 - 155 - 8*h in the form u*h**3 + p + d*h**2 + c*h and give d.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of b**2*j**2 + 4*b**2*j - 502279*b*j**4 - b*j + 157727*b + 2*j wrt j?\nAnswer: 2*b**2 - 6027348*b*j**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 1313 - -2978. Is u a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u be -5 + 7\/(7\/5) + -25. Let t(p) = -3*p**3 + 4*p**2 - 2*p - 2. Let d be t(2). Let n = d - u. Calculate the smallest common multiple of n and 2.\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(k) = k**3 + k**2 - 2*k - 2. Let m(b) = -168*b**3 + 21*b**2 - 42*b - 42. What is -m(u) + 21*s(u)?\nAnswer: 189*u**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8541 = -p + 323. Suppose -8*v = -p + 856. What is the hundreds digit of v?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of ((-105)\/350 - (-38)\/(-140)) + 100178\/14?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -3\/5, 7314, 0 in descending order.\nAnswer: 7314, 0, -3\/5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 1272?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is 3166463 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let r(n) be the first derivative of -n**4\/22 + 3*n**2\/11 + 4*n\/11 - 44. Factor r(g).\nAnswer: -2*(g - 2)*(g + 1)**2\/11","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-2 - -9) + -4 + 0 + -3.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is (((-6)\/(-3))\/2)\/(1\/(-3)*1)?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -0.1 + 1.1. Let y = -2.6 - -1.6. What is the third smallest value in o, y, 3\/2, -3?\nAnswer: o","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:49 AM and 11:27 AM?\nAnswer: 458","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of -6107, -12216, -18325, -24434?\n\"Answer: -6109*b + 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 865040.3 decades in millennia?\nAnswer: 8650.403","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Expand (60 + 113104*k + 46 + 48 - 189 + 35)*(5*k**4 - 4*k**4 + 0*k**4).\nAnswer: 113104*k**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: 54377525 (base 8) to base 12\nAnswer: 3aa6871","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is -56500 rounded to the nearest 10000?\nAnswer: -60000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 7 + -3. Let j be 202\/(-1313) + (-3120002)\/(-13). Let v be ((-50)\/p)\/((-4)\/j). Round v to the nearest one hundred thousand.\nAnswer: 800000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 3047298 a multiple of 127?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -13724*0.1.\nAnswer: -1372.4","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let t(o) = 2*o**2 + 2*o - 1. Let i(w) = 2*w**3 + 8*w**2 - 695*w - 4. What is i(v) - 4*t(v)?\nAnswer: 2*v**3 - 703*v","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 46*c**3 + 62*c**2 - 102*c + 165*c - 2*c**4 - 107*c - 62*c**3 = 0. Calculate c.\nAnswer: -11, 0, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*r + 5*u + 836, 10 = 4*u + 2. Is r a multiple of 48?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(z) = -z**3 + 11*z**2 + 61*z + 21. Let v be ((-90)\/24)\/((-1)\/(-8)*-2). Let y be f(v). Calculate the greatest common divisor of y and 252.\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -48.6 - -56. Let p = u - 7. What is the second biggest value in 9, 5, p?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.2171636 micrometers in meters?\nAnswer: 0.0000002171636","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 5072 is divided by 95?\nAnswer: 37","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Determine q, given that 28*q**4 + 3224*q**3 + 74156*q**2 + 487984*q + 68208 = 0.\nAnswer: -87, -14, -1\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 2687 - 8060\/3. Which is the closest to 0.5? (a) h (b) -73 (c) -0.4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_test"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of 1343, 2793, 4267, 5765, 7287, 8833?\n\"Answer: 12*r**2 + 1414*r - 83","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let i(p) = 10*p - 35. Let v be i(8). What are the prime factors of (19120\/v - 5) + (-2)\/(-18)?\nAnswer: 2, 3, 5, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -5071 (base 8) to base 7.\nAnswer: -10426","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let w(r) = -9*r + 37. Let d be w(3). Suppose -42*j + 37*j + d = 0. Suppose -y + 557 = 2*a, -j*y + 2*a = -y - 573. Is y prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2351*l - 2272*l - 2347*l + 6970*l - 2*l**2.\nAnswer: -2*l**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*g = k + 3*k + 10, k + 5*g - 10 = 0. Let t(o) = -o**2 + 4*o + 8861. Is t(k) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -12 = 8*b - 4*b + 5*h, -2*h = 0. Let p(v) = v**3 + 5*v**2 + 6*v - 1. Let i be p(b). Sort -0.231, -2\/3, i.\nAnswer: i, -2\/3, -0.231","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k be 2 - 34*(-1)\/(-2). Let h be k\/(-4) + 2\/8. Let q be (-6)\/h*(-68)\/6. Calculate the highest common factor of 17 and q.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -10758*l = -5*g - 10757*l - 31, 3*g - 2*l = -27 for g.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 35 and 65?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-9 - (2 + 19)) + 21.\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -33\/439 - 26997\/8780. What is the common denominator of 61\/80 and w?\nAnswer: 80","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(z) = 2*z**2 - 9*z + 7. Let r be o(5). What is the greatest common divisor of r and 12?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in 0.1, 0.22, 12?\nAnswer: 12","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Work out -6103363 + -0.006.\nAnswer: -6103363.006","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -251*y = -255*y + 93936. Suppose 3*w - 3*t - y = 0, -5025 = -w + 5*t + 2799. Is w a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(85) - (sqrt(85) - sqrt(85)*-2))\/sqrt(5) + sqrt(272) + 3.\nAnswer: 3 + 2*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is z in -11*z**4 - 12388*z**3 + 1479723*z**2 + 1763800*z + 271700 = 0?\nAnswer: -1235, -1, -2\/11, 110","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -40 - -36. Let x be 3480000 + 2 + -4 + (-2 - i). Round x to the nearest one hundred thousand.\nAnswer: 3500000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 376056949?\nAnswer: 17, 19, 29, 2113","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 7\/2 of a centimeter in micrometers?\nAnswer: 35000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is 62 - 3279898?\nAnswer: -3279836","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 192 and 28.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let v(n) = -48 + 573*n**2 - 8*n - 286*n**2 - 286*n**2. Let w be v(12). Solve 3*i = 2*u + 8, u + w*u + 4 = i for i.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(z) = z**3 - 4*z**2 - 4*z - 1. Let v be q(5). Suppose 0 = -5*t + v*t - 1615. Let k = 2695 + t. What is k rounded to the nearest 100?\nAnswer: 1100","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 56 - 57. Let u be ((-10)\/8)\/(36\/48) - y. What is the closest to u in -1\/7, 4, 5?\nAnswer: -1\/7","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t be 2\/7 - (-183)\/21. Suppose y = 2*y - t. List the prime factors of y.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of 17, 27, 39, 53, 69?\n\"Answer: k**2 + 7*k + 9","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose x = -0*x - 4*j + 166, 2*j - 4 = 0. Suppose 5*q = -4*z + 318, -3*z + x = q - 75. What is the tens digit of z?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1041521 is divided by 11444?\nAnswer: 117","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (0 - -1) + (8 - 4).\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {j: 4, k: 1, u: 3}. What is prob of sequence jk?\nAnswer: 1\/14","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -85903*v**2 + 257372*v**2 - 86038*v**2 - 85973*v**2 + 1 - 1.\nAnswer: -542*v**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Work out 88.077 * 3894.\nAnswer: 342971.838","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 17\/699000 and 97\/400.\nAnswer: 1398000","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of 7935, 7783, 7533, 7191, 6763, 6255, 5673?\n\"Answer: c**3 - 55*c**2 + 6*c + 7983","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is (9 - 10) + (-70 + 113 - 34)?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5217*x + 86681 = -1262*x + 334381 + 84520 for x.\nAnswer: -84","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (-8)\/6*(-81)\/36 - 2. Which is bigger: z or -5\/41?\nAnswer: z","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence oo when two letters picked without replacement from olrrrooloro.\nAnswer: 2\/11","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let z(g) = 1437*g**2 + 19*g - 40. Let m = -134 - -127. Let q be (30\/4)\/((-3)\/((-42)\/m)). Let i be z(q). What is i rounded to the nearest 100000?\nAnswer: 300000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 353?\nAnswer: 353","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let t(b) = -2*b**2 + 7*b - 2. Let f be t(2). Let w(j) = 3*j + 1. Let o be w(1). Suppose 2*z = -4*i + 46 + 40, 0 = o*z - f. What is the units digit of i?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -16*d**2 - 2034744*d - 58013472?\nAnswer: -32*d - 2034744","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 4*j - s - 26, -49042*j = -49044*j + 2*s + 7 + 15 for j.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: (-28)\/24*(-198)\/462*3*4\/(-546)\nAnswer: -1\/91","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 8 (base 12) in base 15?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*h + 3*b + 13 = -2*b, -2*h + b + 13 = 0 for h.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of 15, 37, 63, 93?\n\"Answer: 2*v**2 + 16*v - 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Divide -2 by 8269858.\nAnswer: -1\/4134929","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 105 and 60?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 670 minutes before 1:18 PM?\nAnswer: 2:08 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -0.04 + 0.64. Let t = j - 0.60001. What is t rounded to five dps?\nAnswer: -0.00001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put together -1.56144 and -4.\nAnswer: -5.56144","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (n\/(n*n\/n**(-1\/6)*n)*n**(-2\/5)\/n)\/((((n*n\/n**(-5\/2)*n)\/n*n)\/n)\/n)**(8\/3) assuming n is positive.\nAnswer: n**(-129\/10)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let f(m) = 2*m + 5. Let z be f(0). Let n be (-1)\/z*-5*3. Solve n*s + 3*i + 17 = -4, -3*s = 5*i + 29 for s.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((u\/(u*(u**(-1)*u)\/u))**16*u**7*u*u**8)\/(((u**(-2\/11)\/u*u)\/(((u*(u\/(u\/u**(-1)))\/u)\/u)\/u))\/(u**(-2\/7))**(-7\/8)) assuming u is positive.\nAnswer: u**(1295\/44)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (1*sqrt(100)\/sqrt(10) - sqrt(640)*6)\/(5*(sqrt(5) - sqrt(5)*-2) - (sqrt(5) + -2*sqrt(5)*-3 - sqrt(5))).\nAnswer: -47*sqrt(2)\/9","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 6 - 2. Differentiate -4*d + i + 8*d - 9*d wrt d.\nAnswer: -5","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 11965331 is divided by 12?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 994581 divided by 4.\nAnswer: 994581\/4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0 + (-2 - 0) + 14 + -47 + 28 - 9.\nAnswer: -16","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 814 is divided by 48?\nAnswer: 46","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*z = 4*y + 4, -5*y - 8 = -4*z + 2*z for z.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: -60322.46*0.3\nAnswer: -18096.738","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Expand 2*s - 5*s - s + (3 - 2 - 3)*(3*s - 6*s + 4*s) - 107 + 56*s + 107.\nAnswer: 50*s","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: 11148 divided by -2787\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let a(f) = 2*f**2 - 7*f - 18. Let k be a(-2). Solve -5*d = -c + 8, -k*c + 2 = -5*d - 15 for d.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -2.6 - -2. Let i = -3.6 - s. Let l = 8 + -13. Which is the closest to 1? (a) 2\/13 (b) l (c) i\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -18140\/37 not equal to 9?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of 240761106, 240761108, 240761110, 240761112, 240761114, 240761116?\n\"Answer: 2*m + 240761104","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Put 8.44, 0.3, 0 in descending order.\nAnswer: 8.44, 0.3, 0","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Subtract 2 from -0.032596.\nAnswer: -2.032596","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Find f such that -4*f**3\/11 - 10791790*f**2 - 880749435920928*f\/11 - 440374688283042\/11 = 0.\nAnswer: -14838711, -1\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 81164061?\nAnswer: 3, 11, 641, 1279","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 37 is divided by 10\/(-25) - (-102)\/5?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {r: 3, x: 4}. What is prob of picking 1 x and 1 r?\nAnswer: 4\/7","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Put -12\/377, -2\/9, -2 in decreasing order.\nAnswer: -12\/377, -2\/9, -2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -344 = -2*d + 4*w, 2*w - 8 = 2. List the prime factors of d.\nAnswer: 2, 7, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -89 - -86. Let u be (1*(1 + t))\/(24\/(-15)). What is the third smallest value in -0.1, u, 5, 0?\nAnswer: u","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(l) = 8*l + 22. Let j(v) = 14*v + 44. Let p(d) = -2*j(d) + 5*o(d). Let x(h) = 2*h + 4. Let f(a) = -2*p(a) + 11*x(a). Let w(m) = 107*m**2. Give w(f(k)).\nAnswer: 428*k**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let a(f) = -33*f**3 - f**2 - f - 1. Suppose -4*b = b - 4*w - 11, -4*w = -3*b + 13. Determine a(b).\nAnswer: 32","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 28775994?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let k(s) be the third derivative of 209*s**8\/336 - 7*s**5\/15 + s**4\/24 + 2069*s**2. What is the third derivative of k(a) wrt a?\nAnswer: 12540*a**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) 1 (b) 2.55 (c) 3 (d) -4 (e) -7 (f) -52\/119\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -1 + 10. Let j(y) = -4*y + 38. Let o be j(x). Suppose 3*i + 1 = b, 2*b - 3*i + 2*i - 7 = 0. Solve -o*d - 4*n = -22, -2*n = -3*d - b*n + 21 for d.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -28\/663 and -105\/26?\nAnswer: 1326","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -3416 - -3466. What is the remainder when m is divided by 32?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(t) = t**3 - 497 - 5*t**2 + 499 + 6*t**2 + 3*t + 2*t**3. Let n(y) = -y**3 + 3*y**2 - 2*y - 1. Let h be n(2). Calculate f(h).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {h: 4, b: 10, m: 2}. Give prob of sequence hbm.\nAnswer: 1\/42","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -8 + 10. Let o be (-11 - -13) + (-4)\/w. Factor 2\/9*t**3 + 0 - 2\/9*t**2 + o*t.\nAnswer: 2*t**2*(t - 1)\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -29*s**3 - 60*s**3 - 2*s**2 + 66*s**3.\nAnswer: -23*s**3 - 2*s**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let k(f) = f**2 - f. Let q(j) = -j**3 - 10*j**2 + 11*j - 10. Let d(y) = -5*k(y) - q(y). Does 12 divide d(4)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -g - 4*t = -4, 38 = 3*g + t - 2*t. Is 7*4\/g*3 a multiple of 7?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -5*y - 3 - 2. Let l = 13 - y. Calculate the greatest common divisor of 42 and l.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence vvww when four letters picked without replacement from uvxvwxxwxxxxxwvuuxvx.\nAnswer: 1\/1615","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from jujaotam. What is prob of picking 1 u, 1 m, and 2 a?\nAnswer: 1\/70","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose d + 7 = 2, -3*d - 47 = 4*v. Let a = 0 - v. What is the units digit of 30\/(2*4\/a)?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 5332 is divided by 849?\nAnswer: 238","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: 1c38 (base 14) to base 11\nAnswer: 3959","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Divide 3 by 69303.\nAnswer: 1\/23101","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:53 PM and 9:12 AM?\nAnswer: 679","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let c(h) = 2758*h + 1478. What is the tens digit of c(9)?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*d + 27 = d + u, 2*u - 29 = -5*d. Suppose -w = d*k - 773, -w - 4*k = 2*w - 2275. Is w a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(l) = -l**3 - 3*l + 3. Let h(n) = -3*n**3 - 8*n + 8. Determine -3*h(c) + 8*x(c).\nAnswer: c**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 25 - 19. What is the common denominator of (-7)\/(-2)*2\/10 and 1815\/r*(-1)\/30?\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(o) = 5103*o**2 + 7*o + 2. Let w be x(-7). Round w to the nearest 1000000.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 20\/9 of a hour in seconds?\nAnswer: 8000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Put -2\/21, 8, 12, 3, 400 in ascending order.\nAnswer: -2\/21, 3, 8, 12, 400","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -15 - (50 - 32 - 51).\nAnswer: 18","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is 2 + -39192314?\nAnswer: -39192312","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is -51293 + 0?\nAnswer: -51293","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) -4 (b) -0.09 (c) 1\/5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let k(j) = 14017*j - 16. Let n be k(7). Let z = -207809 + n. Let h = -26706 - z. What is h rounded to the nearest ten thousand?\nAnswer: 80000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 22, -229, -1 in descending order.\nAnswer: 22, -1, -229","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: -2a (base 13) to base 6\nAnswer: -100","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: -173*-0.1\nAnswer: 17.3","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 24.933411 microseconds in hours?\nAnswer: 0.0000000069259475","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let z(j) be the first derivative of -j**2\/2 + j - 1. Let i be z(-2). What is the tens digit of (-2 - 11)*(i + -10)?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2089?\nAnswer: 2089","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is -10 + -4025115145?\nAnswer: -4025115155","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*h - 546982 = -2*h. Let g = h + -161471. Suppose -3*k = -0*k - 5*v + 168025, g = -2*k + 4*v. Round k to the nearest ten thousand.\nAnswer: -60000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 134*c - 132*c = -6*r + 18, -5*c - 9 = -3*r for c.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is two ninths of a day in minutes?\nAnswer: 320","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {m: 4, u: 2, k: 2, b: 6, o: 1}. Give prob of picking 1 m, 1 o, and 1 k.\nAnswer: 8\/455","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-1)\/3 - -2) + 102638\/(-46398)?\nAnswer: -6\/11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(w) = -w + 32. Let d be a(5). Calculate the greatest common factor of d and 18.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose o**5\/4 - 363*o**4 - 8747*o**3\/4 - 741*o**2\/2 + 8752*o - 5832 = 0. Calculate o.\nAnswer: -4, 1, 1458","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 4793.\nAnswer: 4793","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -5.4976 + 0.0976. Is t less than or equal to 1?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -17488 divided by -187?\nAnswer: 17488\/187","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 1361705*b + 259764?\nAnswer: 1361705","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: 1313 + 0\nAnswer: 1313","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 2357.96162 - 2358. Round h to 3 decimal places.\nAnswer: -0.038","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 14 a factor of 112280?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let z(g) = g**3 - 10*g**2 + 3. Let n = 34 + -24. Let s be z(n). Find the first derivative of -5 + 0*a**3 - a**s + 2 + 2*a**3 wrt a.\nAnswer: 3*a**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify f\/f**(6\/5)*f**(-15) assuming f is positive.\nAnswer: f**(-76\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is 114 a factor of 20991276?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 483277215 to the power of 1\/2, to the nearest integer?\nAnswer: 21984","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from qncncqqqqfcqnqcqnqq. What is prob of picking 1 c and 2 n?\nAnswer: 8\/323","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Convert 592.3245km to millimeters.\nAnswer: 592324500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let f(j) = j**2 - j. Suppose 59*i - 61*i = 22. Let h(w) = -6*w**2 + 5*w. Determine i*f(s) - 2*h(s).\nAnswer: s**2 + s","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Put 44, 3, -1 in descending order.\nAnswer: 44, 3, -1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 488536 to the power of 1\/3, to the nearest integer?\nAnswer: 79","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 23646686 to the nearest integer?\nAnswer: 4863","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -9181*r - 4299*r + 1353*r.\nAnswer: -12127*r","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Sort -4, 7, 2, 18, -1 in decreasing order.\nAnswer: 18, 7, 2, -1, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in 15, 84, -0.05, -2, -21?\nAnswer: -0.05","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let u(l) be the third derivative of l**6\/360 - l**3\/6 + 2*l**2. Let p(j) be the first derivative of u(j). Let w(i) = 2*i**2. Calculate p(w(r)).\nAnswer: 4*r**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -3, -10, -21, -36?\nAnswer: -55","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let q(m) = 2*m**3 - 19*m**2 - 13*m - 9. Let j(w) = -w**3 + 9*w**2 + 6*w + 4. Let v(b) = -9*j(b) - 4*q(b). Calculate v(5).\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) 0.5 (b) -0.4 (c) -0.1 (d) -15 (e) 2\/9\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 12 + 16. Let t(p) = 12*p + 10 - 29*p + 16*p. Let l be t(3). Calculate the greatest common factor of l and m.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 31 = -3*n - 77. Let f = -24 - n. Suppose 0 = 4*r + 3*k + k - 60, 0 = -4*k + f. What is the tens digit of r?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (8*f**2 - 19*f + 19*f)*(8*f + 4*f + 4*f) to the form o*f + w + x*f**2 + b*f**3 and give b.\nAnswer: 128","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -11144070 or -0.2?\nAnswer: -11144070","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*u + u + 3*l = 1727, -8545 = -5*u + 3*l. Let n = 6015 - u. Is n composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0.19? (a) -2\/7 (b) -0.07 (c) 0.2 (d) -2\/9 (e) 0.0579 (f) 0.3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -17 - -19. What is the biggest value in 2\/7, h, 0.4?\nAnswer: h","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 56 and 203.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*v = 2*s + 38, 4 - 14 = -5*v - 5*s. Suppose v = f + 2*n, -17 = -5*f - 2*n + n. Suppose 4*c + l = 22, -3*c - f*l - l + 10 = 0. Solve j - c = -j for j.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 20 in -5, 2, -4, 0?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Factor a**2\/5 + 28567*a\/5 - 57138\/5.\nAnswer: (a - 2)*(a + 28569)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is ((-3949)\/33)\/((-1)\/3) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 117 minutes before 5:40 AM?\nAnswer: 3:43 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 807723 is divided by 1369.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 463 minutes after 6:39 AM?\nAnswer: 2:22 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*a = -679*x + 683*x + 92, -50 = 5*x - 3*a for x.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_test"},"subset":"dm_maths"} +{"text":"Question: Let b = 20 + -20. Put 2, 4, b in increasing order.\nAnswer: b, 2, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 9009\/8 != -1\/30?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 94*g**5*r + 3*g**4*r - 1291*g*r + r wrt g.\nAnswer: 1880*g**3*r + 36*g**2*r","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 5 - 41*b + 45*b - 3 - 2.\nAnswer: 4*b","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2 - 4 + 4)*(-4*z**2 + z**5 + 4*z**2) + 18*z**3 + 21*z**5 - 18*z**3 - 2*z**4.\nAnswer: 23*z**5 - 2*z**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Express 0*w**2 + 9*w**4 - 6*w**4 + w**2 - 3 + 4 in the form x*w**2 + o*w**3 + p*w + d + g*w**4 and give x.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let t(q) = -1236*q + 7473. Let a be t(6). What is the highest common divisor of a and 228?\nAnswer: 57","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 1299327?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is 71220581923 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let h(g) be the third derivative of g**4\/24 + 5*g**2 + 91*g. Let w(z) = 6*z - 2. Let d(r) = 5*r - 3. Let x(i) = -2*d(i) + 3*w(i). What is h(x(b))?\nAnswer: 8*b","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Put 722, -1, 13 in descending order.\nAnswer: 722, 13, -1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 5 in 4, -2\/5, -4, 2?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 192744, 192738, 192728, 192714, 192696, 192674?\nAnswer: 192648","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: ((-16)\/6)\/(((-6)\/24)\/((-3)\/(-8)))\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 6*b + 22*b + 3*b + 7*b - 7*b.\nAnswer: 31*b","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 645680132.\nAnswer: 2, 53, 3045661","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -200 + 170.4. Let j = -199.6 - s. Let g = j + 170.233. Round g to two decimal places.\nAnswer: 0.23","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 227028, 227027, 227026, 227025?\nAnswer: 227024","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:27 AM and 5:23 AM?\nAnswer: 236","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of -364250, -364196, -364142, -364088, -364034?\n\"Answer: 54*a - 364304","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 19 - -27. Suppose -f + 4 = -7*w. Let a = -13 - -20. Are a and w non-equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*g = 4*g - 1, -2*g + 25 = 3*z. Let s(c) = 14 - 157*c + 165*c + c**3 - 4 - 10*c**2. What is s(z)?\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of ((-10)\/(-6))\/(19\/1026) and 33?\nAnswer: 990","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -1 in 1, 8, -1, 55, -3433?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(14)\/sqrt(28) + -5 + sqrt(8)\/sqrt(4).\nAnswer: -5 + 3*sqrt(2)\/2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 386 minutes after 10:00 PM?\nAnswer: 4:26 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8 = -3*b + 4. Let a(x) = -2*x + 5. Let j(k) = 2*k - 6. Let h = -11 + 16. Calculate b*j(t) + h*a(t).\nAnswer: -2*t + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 34.4036 rounded to the nearest integer?\nAnswer: 34","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1712837965.\nAnswer: 5, 342567593","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 90 or 269\/3?\nAnswer: 90","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let v(b) = 9*b**2 + b + 24. Let m(u) = -45*u**2 - 6*u - 121. Let l(w) = 2*m(w) + 11*v(w). Let c be l(-7). Round c to the nearest 100.\nAnswer: 500","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-20 + 22 + 4*a - 2*a**3 - 3)*((1 - a - 1)*(-2 + 0 + 0) - a + 0*a + 2*a + 0*a - 2*a + 4*a - 3 - 17*a + 3).\nAnswer: 24*a**4 - 48*a**2 + 12*a","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 419313.\nAnswer: 3, 23, 59, 103","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of 657, 1318, 1979, 2640, 3301, 3962?\n\"Answer: 661*z - 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let s be ((-204)\/1)\/4*-1. Suppose s*h = 38*h + 2249. List the prime factors of h.\nAnswer: 173","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(b) = -594*b + 308*b + 291*b. Let y(r) = -6*r**2 - 6*r. Give y(d(p)).\nAnswer: -150*p**2 - 30*p","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (68*((-784)\/(-84))\/(-28))\/((-200)\/30).\nAnswer: 17\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Put together -4.438 and -122438724.\nAnswer: -122438728.438","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 925 + -915. What is the smallest common multiple of i*(-17)\/((-170)\/8) and 360?\nAnswer: 360","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(g) = 8*g - 3. Let u be a(2). Suppose 0 = 4*w - 6*w - 3*w. Suppose w = 4*m + 5*m - 117. Calculate the greatest common divisor of u and m.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(u) be the first derivative of -1\/15*u**3 + 0*u - 1\/5*u**2 - 18. Factor y(d).\nAnswer: -d*(d + 2)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(p) = 4*p**2 - 2*p - 3. What is a(3)?\nAnswer: 27","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 44 - 41 = g. Find the third derivative of 8*t**2 - 2*t**g - 1382 + 1382 + 7*t**3 wrt t.\nAnswer: 30","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*q = 11 + 4. Let t(w) = w**2 + w - 2. What is the remainder when (-1 - -10) + -21 + 45 is divided by t(q)?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*w + f + 5443, 5*f + 286 = -4*w + 5735. Is w composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 134 and 335?\nAnswer: 67","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 48.9 in -0.3, -4101, 2, 0.5, -2\/9?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence rfyd when four letters picked without replacement from {y: 1, r: 1, f: 3, s: 3, d: 2}.\nAnswer: 1\/840","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: 1.4088597732+1.39\nAnswer: 2.7988597732","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let b(i) = 7*i**2 - 3*i + 3. Let r(h) = -8*h**2 + 4*h - 4. Let m(z) = 2*z - 6. Let l be m(6). Give l*b(t) + 5*r(t).\nAnswer: 2*t**2 + 2*t - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Sort -3, 0, 2212 in increasing order.\nAnswer: -3, 0, 2212","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let k(m) = m**2 - 17*m + 34. Let y be k(15). Let s(g) = g**2 - g + 1. Does 13 divide s(y)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 3 or 207\/109?\nAnswer: 207\/109","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -438, -893, -1368, -1863?\nAnswer: -2378","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 2 minutes before 2:58 AM?\nAnswer: 2:56 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let d(i) = i**2 - 5*i - 5. Let k be d(8). Let w(n) = 14 - 7*n - n**3 - k - 5*n**2 - 2*n**2 + n**2. Determine w(-5).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 355 + -358. Let d = -3.1 - -3. Is g at most d?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 16301 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Divide -14672 by -5.\nAnswer: 14672\/5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (-21)\/(-4)*(-260)\/(-39). Suppose 0 = m*o - 41*o + 1800. Is 66 a factor of o?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_test"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 83108090 and 33243236.\nAnswer: 166216180","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is 91658843 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Does 39 divide 2045072?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is 1950 + 0?\nAnswer: 1950","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0.1? (a) 13.49 (b) 0.307 (c) 3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3*j**4 - 39*j**4 - 51*j**4)*(-3*j + 0*j + 4*j).\nAnswer: -93*j**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2 + 1 - 1 - 1 + 2 + 0 + (-1 + 4 - 2)*(-5 + 2 + 1))*(-3*w + 2*w - w) + (-2 + 0 + 3)*(5*w - 5*w + w).\nAnswer: 7*w","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is -124 - -43112?\nAnswer: 42655","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 2\/5? (a) 0.1 (b) -2.1 (c) 0 (d) 4 (e) 39468\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Does 2681 divide 25796550?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -2230 + 2224. Sort p, 2, -3, -5 in descending order.\nAnswer: 2, -3, -5, p","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: (((-18)\/(-8))\/(-9))\/((-7)\/56)\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 223177 is divided by 37?\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let q(u) = -13*u**2 - 7*u + 6. Let z(k) = 27*k**2 + 15*k - 13. Determine 13*q(o) + 6*z(o).\nAnswer: -7*o**2 - o","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let x(r) = 2*r. Let v(j) be the second derivative of -8*j + 3*j**2 - 3*j**2 + 110*j**3 - 106*j**3. Give v(x(w)).\nAnswer: 48*w","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is (-2 + (-36)\/(-26))\/(85 - 87)?\nAnswer: 4\/13","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 389*s = 403*s - 42 for s.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 11198641.\nAnswer: 1627, 6883","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*x + 15 = -x. Sort 1, x, -3 in ascending order.\nAnswer: -3, 1, x","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 2121 and 3386187?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {m: 4, h: 2, s: 1, n: 1, b: 2}. What is prob of sequence mhm?\nAnswer: 1\/30","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 20633 - 8732. Let f = b + -356951\/30. Calculate the common denominator of f and 58\/45.\nAnswer: 90","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(i) = -21*i**3 + 63*i**2 + 11*i - 28. Let c be a(3). Let f(b) = b. Let m be f(2). Solve c*s = -3*l + 11, -3*l = -s + m*s + 5 for s.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(g) = -g**2 + 2. Let p(m) = 2. Suppose 25 = 5*u, -2*u = c + u - 16. Let l(i) = c*p(i) - 2*n(i). Solve l(v) = 0.\nAnswer: -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_test"},"subset":"dm_maths"} +{"text":"Question: Let k = 1843.6 - 2293.64. Round k to the nearest one hundred.\nAnswer: -500","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 4, -3, 0, 10 in increasing order.\nAnswer: -3, 0, 4, 10","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let k(p) be the second derivative of 0 + 0*p**2 - 26*p + 13\/3*p**3. Let g(l) = -2*l. Determine k(g(i)).\nAnswer: -52*i","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify h*(h*(h\/(h\/((h*h*(h*h*h**(2\/47)\/h)\/h*h)\/h)))\/h)\/h*h*h**(-10) assuming h is positive.\nAnswer: h**(-327\/47)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let q be 1 - 4\/(0 - 1). Suppose 11 = 3*a + q. Let t(w) = w**2 + w. What are the prime factors of t(a)?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 15011493 a multiple of 32?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 15*m - 22*m + 2387 = 0. List the prime factors of m.\nAnswer: 11, 31","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -18*j + 14*j = 12. Let v be (4 - (4 + -3)) + -2. Suppose 5*w + v = 11. Is j at most as big as w?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine w so that -2*w**4\/13 - 64*w**3\/13 - 174*w**2\/13 + 8*w\/13 + 232\/13 = 0.\nAnswer: -29, -2, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let q(o) = -2*o**2 + 3516. Let u(d) = -3622*d. Calculate u(q(g)).\nAnswer: 7244*g**2 - 12734952","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -1\/5289 - 1762\/5289. What is the closest to o in 2, -198, 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -1227947992*s**2 - 1103406311 wrt s.\nAnswer: -2455895984*s","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let j(t) = t**2 + 5*t - 63. Let u be j(6). Suppose 4*p + 512 = -2*d, -444 = 4*p + u*d + 70. Let a = 259 + p. What are the prime factors of a?\nAnswer: 2, 3, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-21 - 7) + 69 + (-12 - -8).\nAnswer: 37","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 6? (a) 1\/4 (b) -6 (c) -8 (d) -0.3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -7*a**4 - 2*a**2 + 272 wrt a.\nAnswer: -28*a**3 - 4*a","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -38694, -38890, -39094, -39306, -39526, -39754, -39990?\nAnswer: -40234","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -60 - -41. Let b = -29 - c. Let t = -1.85 - -1.45. What is the second smallest value in t, b, 2?\nAnswer: t","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(l) be the second derivative of l**4\/12 + 5*l**3\/6 + 3*l**2\/2 + 3*l. Give t(-4).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is a91 + 150?\nAnswer: 1131","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let w(y) = -30*y - 274. What is w(-9)?\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -14\/53 in -1, 0, 1?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*n - 2*u - 1 + 3, -3*u - 17 = -4*n. Suppose n*r = 2*p + 2*p - 12, 0 = 5*r + 5*p - 15. Let v(h) = 4*h + 110. What is the hundreds digit of v(r)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -367.99543 - -368. What is i rounded to 4 dps?\nAnswer: 0.0046","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Are 312 and 381 unequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let b(s) = s + 1. Suppose 4*m + 3*a - 29 = 0, -3*m - a + 38 = -2*a. Suppose -4*f - 3*r = m, r - 4 = -1. Let n be -1*f*(-4)\/(-4). Determine b(n).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 97 - 98. Let m = 7 - 6. Put 3, v, m in ascending order.\nAnswer: v, m, 3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(u) = 25*u**2 + 3155*u + 720. Let o(q) = -26*q**2 - 3155*q - 681. Let l(v) = 5*o(v) + 4*t(v). Let l(s) = 0. What is s?\nAnswer: -105, -1\/6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(s) = -s**2 + 2*s + 5. Let x be z(4). Which is smaller: x or -0.1?\nAnswer: x","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 k, 1 s, and 1 x when three letters picked without replacement from {b: 4, x: 1, k: 1, s: 11}?\nAnswer: 11\/680","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Round 3068140 to the nearest 1000000.\nAnswer: 3000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 22218 to the nearest integer?\nAnswer: 149","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -4616, -8383, -12154, -15929, -19708?\nAnswer: -23491","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth root of 1271 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 -2623, -2622, -2621, -2620, -2619, -2618?\nAnswer: -2617","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*f + 3 = 3*f. Let b = 16.8434 + -16.6434. What is the closest to 0 in f, b, -4\/3, -2\/19?\nAnswer: -2\/19","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 2 - ((-5 - 0) + 7)?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Product of -0.0260904 and 46.\nAnswer: -1.2001584","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4 = -2*b + b. Let q(u) = u**4 - 2*u**2 + 2*u - 1. Let c(s) = s**4 - 2*s**2 + 3*s - 2. Let j(i) = b*c(i) + 6*q(i). Factor j(d).\nAnswer: 2*(d - 1)**2*(d + 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Add together 2 and -5759622.\nAnswer: -5759620","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of 7293, 7252, 7203, 7158, 7129?\n\"Answer: 2*d**3 - 16*d**2 - 7*d + 7314","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -85 - -136. Suppose -5*b + 32 = -2*t - s, -b - 2*t + 19 = 0. Does 11 divide b?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 665 minutes after 8:25 PM?\nAnswer: 7:30 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let j(h) = 64*h**3 + 1. Calculate j(1).\nAnswer: 65","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-12)\/27*(-2)\/10)\/((-478)\/5975)?\nAnswer: -10\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose d + 17 = -3*w - w, 3*w = -4*d - 29. Let k = d + 13. Let h = 3 + k. Is 8 a factor of h?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (f + 5*f - 4*f)*(110*f**2 + 48*f**2 - 53*f**2) as k*f**3 + p + x*f + t*f**2 and give k.\nAnswer: 210","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1473402901.\nAnswer: 881, 1672421","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let l(y) = -8*y - 46. Let u be l(-26). Suppose -u = -3*m + 3*v, -v + 45 = 5*m - 219. What is the greatest common divisor of 212 and m?\nAnswer: 53","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -33 - -67. Is f a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -37 = -4*m + 15. Suppose m = -n + 2*n. What is the greatest common factor of n and 52?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -20 (base 4) in base 11?\nAnswer: -8","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -4 - -7 - 3 - (-2 - -1).\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 119201 to the power of 1\/9, to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose p = 2*r - 19 + 6, 0 = 3*r + p - 17. Suppose -4*g = -3*t + 44, g + 29 = -r*t + 9*t. Does 8 divide t?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v be 4*(-5)\/(-10) + 0. Suppose -6*d - v*d = -432. What is d rounded to the nearest ten?\nAnswer: 50","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 0 - (4 + (1 - 1)).\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let p(c) be the first derivative of 45 + 0*c + 60\/11*c**3 - 2025\/11*c**2 - 1\/22*c**4. Suppose p(b) = 0. Calculate b.\nAnswer: 0, 45","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*r - 2 + 32 = 0. Is 1586\/r + (-6)\/(-15) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(g) = 12*g**2 - 8*g - 5. Let q be b(-3). Suppose p - 4*y - 91 = 0, -3*y = 6*p - 4*p - q. What is the units digit of p?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is -102 - 21223231321?\nAnswer: -21223231423","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is 65 a factor of 6227?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let p(n) = n**3 - 251*n**2 - 261*n + 249262. Calculate p(248).\nAnswer: 22","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Express 3*y**3 - 415 - 3*y**4 + 205 + 209 in the form z*y**3 + f*y + q*y**4 + s*y**2 + r and give q.\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is -2 divided by -118?\nAnswer: 1\/59","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 1998.7 - 1995.7. Let n = 2 + -2.1. Sort n, y, 5, -1\/5 in decreasing order.\nAnswer: 5, y, n, -1\/5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (-1)\/(-2*3\/18). Let d(m) = 2 - m - 8*m**3 + 2*m - 6*m**2 + 9*m**a. Is d(9) 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 fccvyfccnyfycyvcccc. What is prob of picking 1 c and 1 y?\nAnswer: 4\/19","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let i(f) = -f - 4. Let h be i(-6). Suppose -y + 30 = 5*y. Put y, -2, h in decreasing order.\nAnswer: y, h, -2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 5639, 5791, 5969, 6173?\nAnswer: 6403","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve -14 = -s - 17 for s.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -21 + 47 - 10*j**2 - 26.\nAnswer: -10*j**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Express (638 - 796 + 2944 + 289 + 5167)*(-10*d**2 - 3*d + d + 4*d) in the form g + o*d**2 + b*d and give b.\nAnswer: 16484","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 16 - 6*r**3 + 4*r**3 - 5 - 43 - 61 - 37*r to the form w*r**2 + g*r**3 + a*r + m and give g.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 2 + -14. Which is the nearest to 1? (a) r (b) 0.2 (c) 0.1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from woboucqboucq. What is prob of sequence oq?\nAnswer: 1\/22","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is -103 (base 4) in base 2?\nAnswer: -10011","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 t and 1 j when two letters picked without replacement from jevejtww.\nAnswer: 1\/14","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 4562.\nAnswer: 2, 2281","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Factor 215 - 429\/2*m - 1\/2*m**2.\nAnswer: -(m - 1)*(m + 430)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 2779376 even?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 38*d**2 - 20?\nAnswer: 76*d","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2174?\nAnswer: 2, 1087","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0.1? (a) -2 (b) 1\/10 (c) 0.5 (d) -2235\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let c(v) = -v**2. Let t(s) = 2*s + 253. Let q(p) = 3*p + 506. Let l(k) = -3*q(k) + 5*t(k). Determine c(l(b)).\nAnswer: -b**2 + 506*b - 64009","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 0.14 - 15.14. Let t = 16 + q. Let s = -0.073 + -0.027. Which is the nearest to -0.1? (a) 3\/7 (b) s (c) t\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_test"},"subset":"dm_maths"} +{"text":"Question: -1618866 divided by -269811\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let o(f) = f**2 + 2*f. Let d be o(-1). Let h = 8.3 - -1.7. Let m = h - 12. Which is the smallest value? (a) -0.2 (b) d (c) m\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 1 (base 9) to base 6.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -7*x**3 + 6*x**3 - 3*x - 2*x**4 + 3*x**3 - x**3 - x**2 to the form q*x + l*x**2 + f*x**4 + c + v*x**3 and give v.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -1326*b**3 + 60*b + 335581 wrt b.\nAnswer: -3978*b**2 + 60","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -43\/180 and 73\/2160.\nAnswer: 2160","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 1266 and 234210?\nAnswer: 234210","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify h*h**(-2\/29)\/h*h**(-7\/2) assuming h is positive.\nAnswer: h**(-207\/58)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let i(v) = -v - 5. Let j be i(-7). Let q be j*(1 - 2\/(-4)). Factor 2*n**5 + 0*n**2 + 8*n**2 - n**3 - 2*n**4 - n**q - 6*n**2.\nAnswer: 2*n**2*(n - 1)**2*(n + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*a + 14*a - 297 = 0. Calculate the lowest common multiple of a and 24.\nAnswer: 216","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 324 greater than 328?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Divide 29994 by -1.\nAnswer: -29994","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let l(f) = 130*f - 144. Determine l(1).\nAnswer: -14","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (w**(5\/13)*w\/(w\/w**15)*w)\/(w**24)**(-2\/37) assuming w is positive.\nAnswer: w**(8505\/481)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 6220, 6092, 5896, 5632, 5300?\nAnswer: 4900","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 27, 35, 55, 93, 155, 247, 375, 545?\nAnswer: 763","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 2 - -8. Suppose -2*s - n = 0, u = -2*u - 3*s - 84. Let o = u + 26. What are the prime factors of o?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(j) = -16*j - 16. Let m(t) = -6*t - 15*t + 1 + 18*t - 4. Let w(o) = o - 7. Let h be w(5). What is h*a(k) + 11*m(k)?\nAnswer: -k - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is (8\/5)\/(9*14\/315)?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Put together -0.020901 and 0.2.\nAnswer: 0.179099","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (3 + 2*-2*(2 + 4 + sqrt(363) + 0 + 2 + -2))**2.\nAnswer: 1848*sqrt(3) + 6249","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of ((-3708)\/48)\/(2\/(-8) + 0)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -ab (base 15) to base 16.\nAnswer: -a1","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1880 is divided by 138?\nAnswer: 86","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let c(u) = 71*u + 23. Let x(n) = 72*n + 23. Let p(d) = -4*c(d) + 3*x(d). What is the first derivative of p(y) wrt y?\nAnswer: -68","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -26*o**3 + 19*o**3 - 4 + 2 wrt o?\nAnswer: -21*o**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -1506*t + 8*t**2 + 3016*t - 1510*t.\nAnswer: 8*t**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -1495 - -2133. What is the remainder when v is divided by 27?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of 7672, 14734, 21796, 28858, 35920, 42982?\n\"Answer: 7062*t + 610","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let r(a) = 7*a - 13. Let v be r(4). Let u be (3 - (-21)\/(-9))*v. Suppose t - 9 = -u. Sort -7\/5, 3, t, 0.1 in increasing order.\nAnswer: -7\/5, t, 0.1, 3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 52.72 rounded to 0 dps?\nAnswer: 53","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 1504*o**2 - 380*o**2 - 368*o**2 - 375*o**2 - 379*o**2.\nAnswer: 2*o**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 2 - 8. Let y be (1 - (-3)\/n)\/(1\/216). What is the greatest common divisor of y and 12?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(a) = -5*a**2 + a - 8. Let v(m) = -14*m - 22 + 0*m - 14*m**2 + 16*m. Let b(t) = -6*v(t) + 17*w(t). Determine d so that b(d) = 0.\nAnswer: 1, 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 16553481*2.\nAnswer: 33106962","meta":{"dup_signals":{},"source":"arithmetic__mul_test"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of -347, 1015, 5803, 15733, 32521, 57883, 93535?\n\"Answer: 286*u**3 - 3*u**2 - 631*u + 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of 26, 64, 114, 176, 250?\n\"Answer: 6*a**2 + 20*a","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -4479*q + 16 + 4473*q + 15 - 31.\nAnswer: -6*q","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -50 + 49.56. Let l = v + 0.44675. What is l rounded to 3 dps?\nAnswer: 0.007","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(j) = -3*j. Let b be o(1). Let v be (-88)\/(-6) - (-2)\/b. Let n(t) = -17*t + v*t + t**2 - 3 + 4. Give n(3).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -9, 51698, 167 in descending order.\nAnswer: 51698, 167, -9","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 48 + -46. Solve 15 = 3*t + 5*c, -7*c + 25 = 5*t - d*c for t.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 5911?\nAnswer: 23, 257","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let r be 3 - (3 + -1 + 0). Is (-30960)\/(-54) + r*(-1)\/3 a multiple of 24?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 17456055*h**4 + 174856*h**2 - 2*h + 167 wrt h.\nAnswer: 418945320*h","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -120\/539 or -0.6441?\nAnswer: -120\/539","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Expand -7*g**4 - 141 - g + 141 + 0*g**4 + g**4 + g**4 + (-g + 3*g - g)*(g**3 - 3 + 3).\nAnswer: -4*g**4 - g","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 80 + 10*p**2 - 37 - 43.\nAnswer: 10*p**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-24)\/(-6))\/(20\/(-26))*(-250)\/400.\nAnswer: 13\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in -433, -0.015, 1\/3, 5, -0.3?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let x(u) be the second derivative of u**5\/80 + u**4\/12 - u**3\/6 - 2*u**2 + 554*u. Factor x(b).\nAnswer: (b - 2)*(b + 2)*(b + 4)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: -434 divided by 152\nAnswer: -217\/76","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -1 + sqrt(99) + -1 + 0 - 2*(sqrt(11)*2 + 4)*3.\nAnswer: -9*sqrt(11) - 26","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Express 2 - 35*g + 34*g - 27*g**3 + 17*g**4 + 13*g**3 - 5*g**2 + 14*g**3 as t*g**2 + c*g**4 + j*g**3 + a*g + h and give t.\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -0.746 + 0.33. Let h = o - 0.084. Which is the nearest to h? (a) 0 (b) 0.3 (c) 1\/4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -1.781 take away 5?\nAnswer: -6.781","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is 5 at least -1468\/3?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 5 + -1. Let b = -47\/5 + 99\/10. What is the smallest value in b, k, -0.5?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 c when two letters picked without replacement from jlgghhjggjjlcc.\nAnswer: 1\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*h - 1 + 1)*(0 - 3 - 2)*(-4 + 2 + 0).\nAnswer: 20*h","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.0593718 times 2?\nAnswer: 0.1187436","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*h - r = 4*r + 35, -4*r = -2*h + 16. Let o be 24\/h*140\/8. Let i be ((-6)\/(-4) + 0)*4. What is the highest common factor of i and o?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is 55214 - 2?\nAnswer: 55212","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1489 is divided by 742?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 703*r - 705*r + f - 39, 2*r = -5*f - 45 for r.\nAnswer: -20","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let z be -6 + -5 - (0 - -2). Let d = 11 + z. Let x(j) = 4*j + 1. What is x(d)?\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(n) be the second derivative of -n**4\/12 - n. Let j(g) = -33 - 63 + 54*g + 96. Calculate o(j(b)).\nAnswer: -2916*b**2","meta":{"dup_signals":{},"source":"polynomials__compose_test"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*j - 9 = -161. What is the units digit of j?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(i) = -i**2 + 8*i - 2. Let l be g(6). Suppose -w = w - l. What is the first derivative of w*r**2 - 6 + 3 - 6*r**2 - 2*r**2 wrt r?\nAnswer: -6*r","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many nanometers are there in six fifths of a micrometer?\nAnswer: 1200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of 43133, 345143, 1164915, 2761331, 5393273?\n\"Answer: 43147*l**3 - l**2 - 16*l + 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*b = q - 4, 0 = -2*b + 14*q - 17*q + 12. Solve b = 5*o + 278 - 268 for o.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 10 divide -592*(5 + ((-2828)\/16)\/7)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 22 + -20. Suppose -h*q - 874 = -3*q - 3*v, v - 4356 = -5*q. Is q composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -1070 - -464. Let s = -414 - t. Let c = -201.1 + s. What is c rounded to the nearest integer?\nAnswer: -9","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*b - 5*b = x + 24, 0 = 3*x. Is 30 a factor of 2\/b - 4113\/(-36)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 3614114 to the nearest integer?\nAnswer: 1901","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Factor b**2\/2 + 236754973*b\/2.\nAnswer: b*(b + 236754973)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 32887490?\nAnswer: 2, 5, 1741, 1889","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -107501 - -503.68.\nAnswer: -106997.32","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_test"},"subset":"dm_maths"} +{"text":"Question: Let w(l) = 2*l**2 + l - 1. Let h be w(1). Suppose h*r - 4 = 2. Suppose 205 = 3*n + r*j + 2*j, 5*n - 280 = 4*j. Is n a multiple of 15?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose b = -i - 11, -5*b + i + 0*i - 25 = 0. List the prime factors of -1 + 28 + 3 + b.\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 17*t**5 + 4*t**4 - 25*t**2 + 25?\nAnswer: 1020*t**2 + 96*t","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let v(i) = -4*i**2 + 3*i - 3. Let n = 10 - 7. Let j = 163844 - 163836. Let d(x) = 11*x**2 - 9*x + 8. Calculate j*v(g) + n*d(g).\nAnswer: g**2 - 3*g","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*x + x + 310 = 2*q, -q + 125 = 2*x. Is 30 a factor of x?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-4 - (-21)\/(-6))*759\/(-2530).\nAnswer: 9\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -o = -10*o + 5*o. Solve 7*k - 9 + 2 = o for k.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 3*i**3 - 8727*i**2 - 11242440*i - 3065798700.\nAnswer: 3*(i - 3929)*(i + 510)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Expand 113 + 92 - 152 - 3*n - 3*n + n + n - 4*n + 0 + 0 + (-1 - 5 + 4)*(0*n + 2*n + 0*n) + n + 2*n - 2*n + 1 + n - 1.\nAnswer: -10*n + 53","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*k - 6*k + 36234 = 7*k. What are the prime factors of k?\nAnswer: 2, 3, 61","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(h) be the third derivative of 5*h**4\/8 - 2*h**3 - 16*h**2. Let z be o(1). Is (3426\/(-4) + z)\/(2\/(-4)) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*x**2 + 504*x - 115130.\nAnswer: 2*(x - 145)*(x + 397)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let r(o) = 2*o**2 + 9. Let q(z) = -2*z. What is r(q(h))?\nAnswer: 8*h**2 + 9","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let y(d) = 3*d**2 - 49*d - 108. Let n be y(-2). Is n less than or equal to -28\/13?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k be 0\/(0 + 4 + -1). Let h be 3\/12 + (-6)\/88. What is the closest to k in 0.1, -3\/7, h?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(s) = -s + 5. Suppose -63 = -5*u - 2*z + 5, u + z - 16 = 0. Let n be p(u). Let r(i) = -i**2 - 8*i - 5. What is r(n)?\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 386 is divided by 17.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Round 2517.279 to the nearest 100.\nAnswer: 2500","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -64 or 1580.59?\nAnswer: 1580.59","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*p - 4*z + 320 + 316, -3*z = -3*p + 990. What is the hundreds digit of p?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 3 + ((5*(sqrt(48) + sqrt(3)) + sqrt(3)*-1 + -1)*6 + -2*((sqrt(147) + -2 - sqrt(147)) + sqrt(147))*-4 + -4)**2.\nAnswer: -10400*sqrt(3) + 120679","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve -98*u - 1829 = 37*u + 127 + 5469 for u.\nAnswer: -55","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of 537614, 537582, 537548, 537512?\n\"Answer: -f**2 - 29*f + 537644","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from xxrppxprbrrpbrprxxr. What is prob of sequence br?\nAnswer: 7\/171","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-3)\/(-4)*48\/(-1386)*-11.\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 288958506?\nAnswer: 2, 3, 48159751","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 5.86 + 0.14. Let p = -9 + i. Let g = 0.1 + -0.1. Which is the closest to g? (a) -4\/9 (b) -2 (c) p\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -10.2 + 0.2. Let l = f + 10.26. Let g = l - 0.2595. What is g rounded to three dps?\nAnswer: 0.001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-p**3 + 0*p**3 - p**3)*(7*p + 2*p - 5*p) - 3*p**4 + 7*p**4 - 3*p**4.\nAnswer: -7*p**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 710.00674 + -710. Round c to 4 decimal places.\nAnswer: 0.0067","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2035, 0.3, 4 in descending order.\nAnswer: 2035, 4, 0.3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (4\/(-6))\/(4\/(-30)). Let l be (-1)\/(-2) + g\/(-10). Suppose l = i - 2. Solve -2*o - 2*a = 1 + 13, -i*o + 1 = -a for o.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -m**3 + 2*m**3 - 6*m**3 + 7*m - 7*m - 5*m**3 + (-3*m**3 - m**3 + 6*m**3)*(4 - 1 + 0).\nAnswer: -4*m**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 9432?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is 239945 a multiple of 34?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 699 minutes after 5:43 AM?\nAnswer: 5:22 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is -1257841 divided by -3?\nAnswer: 1257841\/3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 0.6 + -1.1. What is the second smallest value in -3\/4, 2, q?\nAnswer: q","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 s and 2 z when four letters picked without replacement from {g: 1, u: 4, b: 2, z: 3, s: 7}.\nAnswer: 9\/340","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -131058135 divided by 3.\nAnswer: -43686045","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let c(y) = -684*y + 22166. What is c(35)?\nAnswer: -1774","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let p(d) be the second derivative of -d**5\/2 + d**4\/4 + d**3\/6 - d**2 - 17*d. Let j be p(-2). Let r = j - 90. Let h(f) = 9*f - 2. Calculate h(r).\nAnswer: -20","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-3)\/((-5)\/(10\/2)*-1)?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in -0.5, 27, 1\/6?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is 7119923077 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let k(f) = 3*f**3 + 444*f**2 + 2561*f - 194. Calculate k(-142).\nAnswer: -904","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 1 (base 8) in base 7?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) 4 (b) -0.2 (c) -15 (d) -0.37 (e) 5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 17 - 16.5. Suppose -q = -6*q - 5. Which is the nearest to q? (a) f (b) -1\/4 (c) 5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -18466, -18360, -18186, -17944, -17634?\nAnswer: -17256","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is -111 - 10011111222021?\nAnswer: -10011111222202","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 168 - 63 + 4*p**3 + 6*p - 3*p to q*p + f + t*p**3 + c*p**2 and give q.\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -448, -465, -460, -439, -408, -373?\nAnswer: -340","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 8? (a) 14 (b) -1 (c) 1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}