diff --git "a/data/dm_maths/full_data_1/1570_11255.jsonl" "b/data/dm_maths/full_data_1/1570_11255.jsonl" new file mode 100644--- /dev/null +++ "b/data/dm_maths/full_data_1/1570_11255.jsonl" @@ -0,0 +1,10000 @@ +{"text":"Question: Calculate the highest common factor of 1372 and 2016.\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -74 - -99. Suppose -6*b + j - 64005 = -b, 0 = -5*j + a. Round b to the nearest 10000.\nAnswer: -10000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-2886)\/8723 + 7\/(616\/16) - 4\/(-22)\nAnswer: 2\/61","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is -100 + -12533040?\nAnswer: -12533140","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose g - 12 = o, 27 = 3*g - 4*o - 9. Let n = g - 17. Let m(c) = -9*c - 31. What is the units digit of m(n)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -48*k + 44*k = u + 4, u = 4 for k.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: 1203210 (base 4) to base 6\nAnswer: 45300","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 2\/17 + 11\/51. Let o = 4295\/4 + -4297\/4. What is the closest to 15 in -4, g, -0.2, o?\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 10632 + 213*p - 106*p - 1017*p - 10695.\nAnswer: -910*p - 63","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is -22497500 rounded to the nearest 100000?\nAnswer: -22500000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 953897.8l?\nAnswer: 953897800","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -46*t**2 + 118*t**2 - 112*t**2.\nAnswer: -40*t**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve 139*f + 173*f = j + 308*f - 32, -2*j - 2*f = -64 for j.\nAnswer: 32","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: 0 - 1 - (5 + -10 + 8)\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 20*c = -1201 - 639. Let w = 97 + c. What is the highest common factor of 25 and w?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: ((-3)\/(-2))\/((363207\/(-556))\/201)\nAnswer: -6\/13","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 3 + -3. Let n = -243 - -236. Which is the second biggest value? (a) n (b) -5 (c) p (d) 4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is 4001 - -4?\nAnswer: 4010","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 11 + 5 = d + 4*l, 3*d = -3*l + 39. Let m = d - 3. List the prime factors of m.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.3 less than -22.499205?\nAnswer: -22.799205","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is (18\/12)\/(6\/16)?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 136523 is divided by 26.\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is 26099 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -1 or -34\/19087?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Work out 3 * -557.\nAnswer: -1671","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is -13008.5501 rounded to the nearest 10?\nAnswer: -13010","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 0.0699995 - 0.07. What is q rounded to six dps?\nAnswer: -0.000001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(k) = -11*k + 338. Let j(n) = 9*n - 336. Determine -3*b(z) - 4*j(z).\nAnswer: -3*z + 330","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -199 - -21. Let l = z + 132. Let h(b) = -b**2 + 4*b + 13. Let w be h(10). Which is bigger: w or l?\nAnswer: l","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 4532*n**2*w**5 + 2686*n**2*w - 2*n**2 - n*w + 292*w**5 wrt w?\nAnswer: 90640*n**2*w**3 + 5840*w**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Express -3 + 5 - 8*c + c + 2 as a*c + l and give a.\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let u(v) be the first derivative of -2*v**5\/5 + 7*v**2\/2 + 5. Find the second derivative of u(j) wrt j.\nAnswer: -24*j**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 120\/(-70)*(-154)\/(-495)*(-50)\/(-5).\nAnswer: -16\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let n(u) = -7*u + 1036. Calculate n(-49).\nAnswer: 1379","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: -2440*0.4\nAnswer: -976","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -7 + 4. Let c be 3 + s + 1\/(-7). What is the nearest to 0.1 in c, 0, -0.2?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of 51, 32, 7, -18, -37, -44, -33, 2?\n\"Answer: y**3 - 9*y**2 + y + 58","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 669.7 - 730. Let q = l + 60. Which is the second biggest value? (a) 0 (b) -0.1 (c) -2 (d) q\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) -1\/5 (b) -5 (c) 0.1 (d) -17\/5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Put -4, -99, 2 in decreasing order.\nAnswer: 2, -4, -99","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: (0\/((-24)\/(-3)))\/(6\/(-2))\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -8 + 12. Let v = 77 - 77. Suppose 3*u + 4*r - 275 = v, 0*u + 3*r = -t*u + 376. Is u a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 5494 and 268.\nAnswer: 134","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1241017631?\nAnswer: 7, 53, 181, 18481","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1, -5, -3, -12 in decreasing order.\nAnswer: 1, -3, -5, -12","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from mfmffau. What is prob of picking 2 m and 1 a?\nAnswer: 1\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 17 - (2 - (-29 + 1)) - -17.\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*u - u - 4*j - 16 = 0, 4*j + 4 = -4*u. Suppose -g + 0*g - y = -u, -4*y = -g - 6. Solve -g*k = 2 + 2, x = k - 2 for x.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 6162474 and 3476?\nAnswer: 158","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from uylut. Give prob of picking 1 y, 1 u, and 1 t.\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve 27*b - 4*b = -23 for b.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:33 AM and 6:52 AM?\nAnswer: 19","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 572385.\nAnswer: 3, 5, 11, 3469","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -2131909*f**3*z + f**2*z + f**2 + 301*f*z + 137 wrt f?\nAnswer: -12791454*z","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 28 = -20*y + 868. Suppose -193 = -2*q + 185. Calculate the highest common factor of q and y.\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s be 153\/(-45) + 3\/(-5). Let w = s - -84. Calculate the greatest common divisor of 16 and w.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*b + b + 14 = -5*n, -4 = 3*n - 4*b. Let j be n - 8*3\/(-6). Solve -3*o - i = -3, 5 = 4*o - j*i + i for o.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 0 by 616689.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 351 or 368?\nAnswer: 351","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Work out 1432558 + 92.27.\nAnswer: 1432650.27","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:43 AM and 8:27 PM?\nAnswer: 644","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 1939, 1599, 1025, 223, -801, -2041?\nAnswer: -3491","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Round -5266 to the nearest 1000.\nAnswer: -5000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 2 - 1. Suppose 168*h - 777 = 4*h + 699. Solve -2*a - h = -d for a.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 15965262331 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let j be 4\/6 + (-4648)\/6. Let n = j + 6. Round n to the nearest 10.\nAnswer: -770","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 73558? (a) 0.4 (b) -3 (c) -2 (d) 0.14\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-21 + 1 + 3 - 3) + 2 + (1 - -4)?\nAnswer: -13","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 1917394722?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 20944649 and 20075?\nAnswer: 803","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3 - 2*b + 3)*(-5 + 1 + 2) - 78*b + 1244 - 1244.\nAnswer: -74*b","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Sort 3, 79, -5, -4, 4.\nAnswer: -5, -4, 3, 4, 79","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of (504\/(-560))\/(54\/(-237)) and (-1)\/(-96)*500\/(-6).\nAnswer: 720","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Total of -0.580318 and 3.02.\nAnswer: 2.439682","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 1197?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 32 - 22. Let o be (0 + -1)\/(6\/(-72)*4). Solve o*i = 4 - g for i.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -11210*b + 11173*b + 185 for b.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -18*p + 23*p - 6*p.\nAnswer: -p","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let y(p) = -15*p**2 - 102*p + 588. Let u(v) = v**2 + v. Let f(g) = 18*u(g) + y(g). Determine w, given that f(w) = 0.\nAnswer: 14","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*k + 3*k + 2*b + 64 = 0, -2*b - 10 = 0. Suppose 0 = -m - k + 20. Calculate the highest common divisor of 8 and m.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 4492 >= -59?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence oyyo when four letters picked without replacement from oggcooiiyggy?\nAnswer: 1\/990","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.7116607 tonnes in milligrams?\nAnswer: 711660700","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -42779985 + s + 42779985.\nAnswer: s","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is 222\/11845 equal to -1\/5?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -30 + 30. Solve 5*f - 16 = -v, u = -4*v - v - 2*f - 12 for v.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v be 5\/(-15)*15 + 15*3. Let d be ((-6)\/4)\/(3\/(-20)). Calculate the greatest common divisor of d and v.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*h - 105 = -5*d, -d + 2*h = 3*h - 11. What is the remainder when 95 is divided by d?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -2.7883 + -0.2117. Sort 0.04, -8.1, -3\/2, m.\nAnswer: -8.1, m, -3\/2, 0.04","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*m + m = -20. Suppose m*r + j = 3*j + 98, 3*j = -r + 23. Is r a multiple of 5?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 16100.15 - 15838. Round u to the nearest 10.\nAnswer: 260","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(l) = -l**3 + 29*l**2 - 42*l - 321. Let d be h(27). Solve -16 = 14*y - 18*y - s, 2*s = -y - d for y.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (4*sqrt(36)\/((sqrt(72)*2)\/sqrt(6))*6 + -2*-6*(sqrt(18)\/(sqrt(12)\/sqrt(2)) + sqrt(6)\/(-2*sqrt(2))))**2.\nAnswer: 972","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 36300 rounded to the nearest 10000?\nAnswer: 40000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let l(r) = 5*r**4 - 104*r**3 + 169*r**2 - 138*r. Let j(z) = -z**4 + 20*z**3 - 34*z**2 + 28*z. Let n(m) = 33*j(m) + 6*l(m). Factor n(k).\nAnswer: -3*k*(k - 8)*(k - 2)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (-250)\/25*2\/(-4). What is the second smallest value in -5, 1, 3, l?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -19\/10 + 7\/5. Sort 3\/8, 5, x, -2 in increasing order.\nAnswer: -2, x, 3\/8, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -95, -5, 12, -6, -4, 10 in increasing order.\nAnswer: -95, -6, -5, -4, 10, 12","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = h - c + 27, 0 = h + h + 5*c + 19. Let z = 13 + h. Let g = -7 - z. Is g prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -34938 - -34954.0017. Let i = 16.1 - o. Round i to 3 dps.\nAnswer: 0.098","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(p) be the second derivative of p**3\/6 + p**2\/2 - 6*p. Give y(-4).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose d - 16 = 40. What is the common denominator of 26\/d - 5\/20 and 97\/40?\nAnswer: 280","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 0 - 0. Let x(g) = -2*g + a*g - g + 4*g. Let p(j) = -j**2. Determine p(x(s)).\nAnswer: -s**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 751 - 2273\/3. Is x equal to 0?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 3*t**2 + 2*t + 5 - 10 + 1 + (-4*t**2 + t**2 + t**2)*(7 - 2 + 1)*(-1 + 1 - 2).\nAnswer: 27*t**2 + 2*t - 4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 3 - 17\/6. Let r = 2 - 1. Let k = -1.08 + r. Put k, 0.2, s in decreasing order.\nAnswer: 0.2, s, k","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -38*a**2 + 91*a**2 - 7*a**2 - 48*a**2.\nAnswer: -2*a**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred millions digit of 455977927?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let k(o) = -241*o**2 + 763*o - 115. What is k(3)?\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let g(j) = -3*j + 16700000. Let r be g(0). Round r to the nearest 1000000.\nAnswer: 17000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(m) = m**3 + 7*m**2 - 4*m - 5. Let l(f) = -f**2. Let n(x) = d(x) + 3*l(x). Let o be (6\/4 - -1)*-2. What is n(o)?\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -b**2*h**3*o**2 - 3*b**2*h**2*o**3 - b*h**2 + 4*h**3*o**3 + 2*h*o**3 - 2*h*o**2 wrt h.\nAnswer: -6*b**2*o**2 + 24*o**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let b(x) = 27*x. Let t(j) be the third derivative of -j**4\/24 - 32*j**2. Determine t(b(q)).\nAnswer: -27*q","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Sort 37, 8, -4, 3, -39 in decreasing order.\nAnswer: 37, 8, 3, -4, -39","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let h(y) = -y - 126. Let z be h(0). Let o = 139 + z. What is the remainder when 84 is divided by o?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 24 and 6\/(3*(-5)\/(-150)).\nAnswer: 120","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(13) + sqrt(1300)*-1 - (sqrt(39)\/sqrt(3) + -5).\nAnswer: -10*sqrt(13) + 5","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (6\/4)\/((-2)\/4). Let v(h) = h**3 + 4*h**2 - 3*h + 2. Does 10 divide v(p)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 243*-799.1.\nAnswer: -194181.3","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (4\/(-6))\/(2\/6). Let l be (-1)\/(-4) - 150\/24. What is the units digit of l*(0 - p\/(-6))?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 3 in -0.4, 41, -11, 1\/4?\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Express (-6*c + 4*c - 14*c)*(0 + 0 + 2*c**3) as p*c**4 + g*c**3 + i + x*c**2 + u*c and give i.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let w**2\/2 + 5617*w\/2 - 2809 = 0. What is w?\nAnswer: -5618, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is 70070828 != 8?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 234 + -234.4. Let y be (-6)\/(-33) + 36\/165. Sort 1\/6, f, y, -14 in descending order.\nAnswer: y, 1\/6, f, -14","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -108107 = -1822*x + 72271 for x.\nAnswer: 99","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is -1011011100011 (base 2) in base 11?\nAnswer: -4447","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth smallest value? (a) 2 (b) 0.3 (c) 12 (d) -4\/5 (e) 20\/11 (f) -0.3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Put together -0.082 and 3.\nAnswer: 2.918","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 10925, 11151, 11377, 11603?\nAnswer: 11829","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*m + 3*v = 57, 0 = 5*m + 5*v - 14 + 39. Let i(y) = y**2 + 11*y + 2. Determine i(m).\nAnswer: -16","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 32*k - 0*k - 24*k + 152 for k.\nAnswer: -19","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-1*(sqrt(171) - sqrt(171)*4)*2)\/((sqrt(6480) + 4*sqrt(6480))\/sqrt(5)) + -5.\nAnswer: -5 + sqrt(19)\/10","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -628573 or 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((l\/(l**(1\/3)\/l)*l)\/l)**40)**(-8) assuming l is positive.\nAnswer: l**(-1600\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {z: 9, w: 4, k: 1}. What is prob of sequence wkzk?\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -20? (a) -4 (b) -2\/81 (c) 52326 (d) 3\/7\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (48\/9 + 0)*(-3)\/(-2). List the prime factors of 536\/q + -2*(-1 + 2).\nAnswer: 5, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -49165789 at least -49165787?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let c(r) = 7*r**2 + r + 1. Let g(p) = p**2 - 9*p + 1. Let a be g(10). Suppose -2*q = b + q - a, 3 = b + q. Determine c(b).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -14 + 9. What is the second smallest value in 1\/5, i, 5?\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-37 + 78 - 9) + -9.\nAnswer: 23","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(t) = -10*t + 15. Let q(n) = 9*n - 3. Let o(b) = -l(b) - 5*q(b). Let g(c) = -4*c**2 - c**2 + 4*c**2 - c**2. Determine o(g(w)).\nAnswer: 70*w**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: 50 + -13 + 10 - (4 - (9 - 7))\nAnswer: 45","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 24*x + 54*x + 14*x - 139*x + 25*x.\nAnswer: -22*x","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let d(u) = u**3 + 3*u**2 - 19*u + 1. What is d(-6)?\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -1197 + 1940. Is m prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-116)\/(-87))\/((-1)\/24)*(-3813)\/(-1271)?\nAnswer: -96","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 4 + 0. Suppose -p - 139 = -5*l, -2*l = -6*l + r*p + 124. Let b = 46 - l. Is b a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -11 (base 4) to base 8.\nAnswer: -5","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-326)\/(-119) - 3) + (-236)\/(-2006)?\nAnswer: -1\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is 935947 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve -103*h + 27*h = 21*h + 3615 - 220 for h.\nAnswer: -35","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: 13114145 divided by -6\nAnswer: -13114145\/6","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let a be 1\/((-3)\/3*1). Let m be (1*a)\/((-10)\/20). Let r(o) = -o**3 + 2 + 4*o**m + 7*o + 4 - 6*o**2. What is r(-4)?\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -4788*r**3 - 6*r**2 - 2459827 wrt r?\nAnswer: -14364*r**2 - 12*r","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -396.4 + 396.388596. Round k to 3 dps.\nAnswer: -0.011","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(1900) + -4 + 0 + sqrt(1900))*-3 + 5 - -5*((5*(2 + sqrt(1900)))**2 + sqrt(1900))*6.\nAnswer: 30240*sqrt(19) + 1428017","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.0048068 rounded to 3 decimal places?\nAnswer: -0.005","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Does -118338 = -118312?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 5 + -5. Let l be (-2 + 7)\/(-1 + g). Let w = -7 - l. Put w, -0.1, 4 in decreasing order.\nAnswer: 4, -0.1, w","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*m + 28725 = 5*m. Let k = m - 3564. Is k prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -179, -199, -203, -185, -139, -59, 61?\nAnswer: 227","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {c: 3, g: 6, h: 4}. What is prob of sequence gc?\nAnswer: 3\/26","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -40\/187 and 93\/170.\nAnswer: 1870","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) -2176 (b) -2\/13 (c) -3\/35\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Does 12 divide 13284?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (d\/(d*d*d**(-11\/8)*d))\/d**10 assuming d is positive.\nAnswer: d**(-85\/8)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -1.1 - -0.5. Let u = 184401 - 184398. What is the smallest value in -3\/4, g, 0.2, u?\nAnswer: -3\/4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 143 and 146003.\nAnswer: 146003","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -3347\/456 - -1\/152. Suppose -4*d = 3*v - d - 18, 2*v = -4*d + 12. Suppose n + v = -4*q + 3, q = -3*n - 20. Is a not equal to n?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -65*f = -15*f + 550 for f.\nAnswer: -11","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 1030182765?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Convert -3 (base 15) to base 9.\nAnswer: -3","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in 1\/245, -0.6, -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let d(l) = 1. Let g(a) = -4*a - 40. Let s(k) = 40*d(k) - 2*g(k). Let x be s(-15). Solve 2*c + 0 - 10 = x for c.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in -50.2, 10, -20.7?\nAnswer: -20.7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -1 + (sqrt(40)\/sqrt(72) + 5 + -1*sqrt(5))**2 + 1 + -2*(0 + 2*(sqrt(80) + sqrt(80) + (sqrt(80)*-1 - sqrt(80)) - sqrt(80))).\nAnswer: 28*sqrt(5)\/3 + 245\/9","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let g(k) = 18*k**3 + 3*k**2 - 3*k + 3. Let t be g(2). Let o = -13866 + 14019. Are t and o equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(n) = 7*n + 3*n + 1 + 4*n. Suppose 4748*m - 4244*m = 57456. Calculate the remainder when m is divided by c(2).\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 2850 and 18525.\nAnswer: 37050","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (x*x**(-3)*x\/(x\/x**(-2\/7)*x))\/(x**(2\/5))**(-25) assuming x is positive.\nAnswer: x**(47\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Determine i so that 5*i**2 - 7940*i + 3152180 = 0.\nAnswer: 794","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let y(a) = 2*a. Let s be y(2). Suppose 0*k - s*k + 8 = 0. Let d be ((-3)\/(-2))\/((-2)\/(-4)). Put 4, d, k in increasing order.\nAnswer: k, d, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*j = -410 + 410 for j.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -20 - -33. Is j a multiple of 8?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*o = o, -2*o - 91 = -u. Suppose -41 = -3*f - b + 42, 0 = 3*f + 5*b - u. List the prime factors of f.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of 4416, 8829, 13288, 17817, 22440, 27181, 32064?\n\"Answer: 4*d**3 - d**2 + 4388*d + 25","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 2996162*d**3 - 362537*d**2 wrt d.\nAnswer: 17976972","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let z(k) = -40827*k + 244982. Determine z(6).\nAnswer: 20","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 476 is divided by 129?\nAnswer: 89","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 6288 + -4661. Round b to the nearest one hundred.\nAnswer: 1600","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*j = -v + 147 - 29, 3*j = -5*v - 82. Let a = 29 + j. Solve 0 = -a*x - 5*y - 20, 3*y = 4*x + y - 2 for x.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 1342466161 to the nearest integer?\nAnswer: 1103","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of -210423, -420847, -631271?\n\"Answer: -210424*j + 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1991 is divided by 24?\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -53 divided by 2608.\nAnswer: -53\/2608","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is 12 - -10211?\nAnswer: 11000","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve 148 = -9*m - 28*m for m.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between -10888 and 0.06?\nAnswer: 10888.06","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*p + 8 = 4*r, 5*r = -2*p + 10 - 0. Suppose d + 0*d - 1 = p, 2*d = -v + 70. What is the remainder when v is divided by 24?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(x) = 2*x - 10. Let a be h(5). Let w be a*(1 + 2)\/6. Suppose 4*z = 4*t + 436, t - 2*t + 2 = w. Is z a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -2884, -4200, -5516?\nAnswer: -6832","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 4\/5303 and -38\/11?\nAnswer: 58333","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let c(s) = -s**3 + 9*s**2 + 12*s + 3. Suppose -q + 8 = 2*j, j = -4*q - j + 38. Let w be c(q). Solve 0 = -4*z - 3*n - w, 2 = -z - 5*n - 8 for z.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of -7692, -15713, -24258, -33321, -42896, -52977, -63558, -74633?\n\"Answer: d**3 - 268*d**2 - 7224*d - 201","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*n - 30*p + 25*p - 7 = 9, 0 = -2*n + 2*n + 4*p for n.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve -23*i + 4*m - 9 = 0, -6115*i + 6116*i - 4*m = -119 for i.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 123281 times 2?\nAnswer: 246562","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Expand 2*h**5 + 3*h**5 + h**5 + (h - h + 2*h**2)*(8*h**3 - 3*h**3 - h**3) - 73*h**2 + 311 - h**5 - 311.\nAnswer: 13*h**5 - 73*h**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*c - 72 + 84 = 0 for c.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -57589\/27 + 2133. What is the closest to 3 in -9, n, -2\/3?\nAnswer: n","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence jj when two letters picked without replacement from {v: 2, b: 1, j: 3, l: 3, k: 1, h: 1}.\nAnswer: 3\/55","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 451669 to the nearest integer?\nAnswer: 77","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -3 in 0.9, 11\/17, 19?\nAnswer: 11\/17","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: ((-4)\/(-6))\/((-3)\/(-9))\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Does 271 divide 27823299?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is 140a830 - 37?\nAnswer: 140a7c6","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*w + 12 + 30 = -2*p, -4*w + 3*p = -55. Calculate the lowest common multiple of 6 and w.\nAnswer: 48","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(a) = -39921*a + 4471194. What is v(112)?\nAnswer: 42","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the seventh root of 150806 to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 4*a**2 + 29*a**2 - 25*a**2 - 8*a**2 - 2*a - 39*a**3.\nAnswer: -39*a**3 - 2*a","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve 20*a + 5*o + 120 = 0, -4*o + 47 = -4*a + 3*o + 260 + 19 for a.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 624 minutes before 4:02 AM?\nAnswer: 5:38 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: 8958516 divided by -15\nAnswer: -2986172\/5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-4 + 4 - 2*i**2)*(3*i**3 + 2958 + 2815 - 5604 + 2*i).\nAnswer: -6*i**5 - 4*i**3 - 338*i**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 408 = 6*x - 294. What is the remainder when x is divided by 8?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -94*g**2*k + 13*g**2 + g*k - 2600*g - 12610*k - 816 wrt g?\nAnswer: -188*g*k + 26*g + k - 2600","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 18*b = 38 + 70. Suppose k = -2*r + b*r, -5*r = 4*k. Solve -5*w + 6 = -4*w - 2*i, r = w - i - 5 for w.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(n) be the second derivative of -2141*n**4\/12 - 1753*n**3\/6 - 125*n + 5. Find the second derivative of o(j) wrt j.\nAnswer: -4282","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -3.451 - -3.591. Which is the second smallest value? (a) k (b) 1\/6 (c) 0\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -7997 divided by 78?\nAnswer: -7997\/78","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let f(s) = -923*s. Let x(m) = -4*m**2. Determine f(x(v)).\nAnswer: 3692*v**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 14379.1892721 less than -11?\nAnswer: -14390.1892721","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 2 or -300448?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Express -3385*s + 2 - 18*s**3 + 3385*s - 2*s**3 as x + k*s + y*s**3 + q*s**2 and give k.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Convert c8c5cc (base 16) to base 12.\nAnswer: 44a65a4","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -2087 + 2159. Is k a multiple of 6?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(v) = v**2 + 2*v - 3. Let w be n(-4). Suppose -2*u + 538 = -0*u + w*h, -3*h = -4*u + 1076. Is u composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -131, -144, -167, -200?\nAnswer: -243","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {u: 6, d: 4, e: 5}. What is prob of picking 1 u and 1 d?\nAnswer: 8\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 3521 and 91?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let b(v) = -v**2 + 13*v + 83. Let r be b(9). Let j = r + -120. Is j at least 1\/7?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 24 and 1002?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -0.1325963 - -0.13179. What is z rounded to 4 dps?\nAnswer: -0.0008","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of (-5)\/(3 + 0 + -4) and 7?\nAnswer: 35","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: ((-8)\/(-7))\/(29734\/(-728483))\nAnswer: -28","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let u be 5 + (-1 - 1) + -5 + 10. Calculate the highest common factor of 4 and u.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (2*z + z - 4*z + (14*z - 10*z + 30*z)*(-6 + 5 + 0))*(-3 + 3 - 2*z**3) to m*z**2 + u + a*z**3 + h*z**4 + r*z and give h.\nAnswer: 70","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let n be 3\/5 + 482\/5. Let x = n - 95. Suppose -54 = -h - 4*t + 4, -5*t = -x*h + 64. What is the tens digit of h?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 16\/(-24)*1\/((-4)\/6).\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -2\/11 in -1, -2\/5, -4, 32.7?\nAnswer: -2\/5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Put together -33.667 and 5.\nAnswer: -28.667","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: -2388 times 3795\nAnswer: -9062460","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-92594)\/(-4146))\/((1\/(6\/2))\/((-4)\/4))?\nAnswer: -67","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Sort 15\/4, -1\/11, 2\/7 in ascending order.\nAnswer: -1\/11, 2\/7, 15\/4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let c(m) be the third derivative of -3*m**5\/20 + m**4\/12 - m**3\/6 - 4*m**2. Let b(q) = q**3 - q**2 - q + 1. Let k be b(0). What is c(k)?\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 8? (a) 0.24 (b) -318 (c) 2\/7529\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Work out 3887 * -1.7.\nAnswer: -6607.9","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let z(q) = -4*q**2 - 32*q + 130. Give z(-11).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let b(w) = -370 - 3*w + 119 + 124 + 127. Let p(y) = -1170*y**2. Determine b(p(u)).\nAnswer: 3510*u**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Put 0.5, 1, -8774689 in decreasing order.\nAnswer: 1, 0.5, -8774689","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let o(x) = -x + 6. Let n(q) = -1. Suppose -3*g + 6*g + 45 = 0. Let l = g - -21. Suppose l = 3*j + y, 0 = 2*y - y. Give j*o(b) + 11*n(b).\nAnswer: -2*b + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -125 = -r - 4*r. Let v be (1 + -1*1)\/(13 - 14). Suppose 4*a = -2*u + 270, 2*u - 245 = -v*a + a. What is the highest common factor of r and u?\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -1.2 + 1.20000021. Round r to seven dps.\nAnswer: 0.0000002","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose f + 5 = 6*f. What is the highest common factor of f and 9?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(m) be the second derivative of m**5\/20 + 7*m**4\/6 - m**3 - 2*m**2 + 2*m + 117. Let j be (-4*(-21)\/6)\/(-1). What is the units digit of y(j)?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 866945 a multiple of 291?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 70*k = -96 + 516. Solve 7*a - k*a - 2 = 0 for a.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*n - 247 = 3*m - 269, -4*m = -4*n - 56 for m.\nAnswer: 10","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let f(z) be the first derivative of z**3 + 18*z**2 - 31*z + 43. Is f(-26) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -16020 - -15967.1085. Let y = -53 - j. Round y to two decimal places.\nAnswer: -0.11","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 42 + -46. Let r = 2 + -7. Put i, -2, r in decreasing order.\nAnswer: -2, i, r","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (-2 + -1)\/(3\/(-2)). Suppose 5*a - 5*r = 31485, 2*a - t*r - 12598 = -4*r. Let q be a\/(-3) - (-4)\/(-6). Round q to the nearest one thousand.\nAnswer: -2000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(b) = 25*b + 8. Let h(f) = 49*f + 15. Let j(m) = -2*h(m) + 5*t(m). Is j(3) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 5.12 rounded to one decimal place?\nAnswer: 5.1","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 6*(-50)\/180*3.\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -26*x - 40 = 41*x - 87*x. Suppose 8\/3 + 2\/3*i**x - 8\/3*i = 0. What is i?\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 9329197 is divided by 1660?\nAnswer: 1657","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Put -24, 5195, 26 in ascending order.\nAnswer: -24, 26, 5195","meta":{"dup_signals":{},"source":"comparison__sort_test"},"subset":"dm_maths"} +{"text":"Question: Let c = -83 - -51. Let d = c + 195. Is d a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(c) = -c**2 - 5*c + 1. Let s(u) = -u. Let m = 1 - -7. Let r = -7 + m. Give r*n(h) - 6*s(h).\nAnswer: -h**2 + h + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let k(n) = -2*n + 11. What is the tens digit of k(0)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -35 = -11*s + 12*s + 16*t - 207, -9 = 5*s + t for s.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (128\/(-40))\/4*(-5)\/(-14).\nAnswer: -2\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*y = -4*b + 34, 0 = 4*y - 636*b + 633*b - 13 for y.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 6 = 3*g + 3*a, 10 = -5*g + a + 26 for g.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -37 + 37. Suppose 6*p - 13 - 29 = y. Solve -2*s = -p*s - 4*j + 26, 5*s - j - 6 = 0 for s.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 2 in -5, 4\/9, 5\/3, 3\/5?\nAnswer: 5\/3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let t(l) = -2*l**3 - 58*l**2 + 60*l + 37. Suppose 0 = 240*n - 196*n + 1076 + 244. Calculate t(n).\nAnswer: 37","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 2631572 is divided by 38?\nAnswer: 34","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 42030114 divided by -2377.\nAnswer: -17682","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -0.1 in 148, 0.06, 201.4, -0.5?\nAnswer: 0.06","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 11 + -16. Let u(p) = p**3 + 6*p**2 + 4*p - 4. Determine u(m).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(y) = -3*y**2 + 3*y + 3. Let l(j) = -4 + 4*j - 4*j**2 + 4 + 4. Let u(g) = 4978*g - 14939. Let x be u(3). Determine x*f(k) + 4*l(k).\nAnswer: -k**2 + k + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {e: 4, p: 2, x: 2, j: 1, k: 5}. Give prob of picking 1 k, 1 p, and 1 j.\nAnswer: 5\/182","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.005985 times 3415?\nAnswer: -20.438775","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 24 and 110644?\nAnswer: 663864","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 1032409 to the nearest integer?\nAnswer: 1016","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: -2772 divided by -21\nAnswer: 132","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {z: 8, q: 3}. What is prob of sequence zq?\nAnswer: 12\/55","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Round -90313.791 to the nearest 10000.\nAnswer: -90000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 13 and 4550.\nAnswer: 4550","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let o(x) = 12*x**3 - 738*x**2 + 7567*x - 20. Determine o(13).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 22 = 5*l + 2. Let j(f) = f**2 - 5*f + 3. Let k be j(3). Sort l, -1, k in increasing order.\nAnswer: k, -1, l","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 509898, 1019764, 1529630?\nAnswer: 2039496","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -y = 3*n - 69, -n = -y + 2*n + 57. Calculate the highest common divisor of y and 21.\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 391 + -240. Suppose 2*q + 122 = -4*r, 2*r - 7*r - f = 2*q. Let j = r - -204\/7. Is j at least as big as 1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 343.15 + -343.1500021712. What is i rounded to seven dps?\nAnswer: -0.0000022","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-30)\/612*-33 + (-6)\/4?\nAnswer: 2\/17","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*m - m - 4*g - 12 = 0, m = -5*g + 6. Is m\/(-24)*6*8069 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -7*p + 36 = 5*i, -p = -1010*i + 1005*i + 12 for p.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose j + 2*j = 9*j. Suppose -2*x + z + 103 + 118 = j, -5*x - 4*z = -546. What is the hundreds digit of x?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -18, 41, 198, 501, 998?\nAnswer: 1737","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -65198, -130394, -195590, -260786, -325982, -391178?\nAnswer: -456374","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 588773574*k**4*y**3 + 369*k*y**3 + 2*y**3 + 2*y - 238187 wrt k.\nAnswer: 7065282888*k**2*y**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is 2150777 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let t(m) = -2*m**2 - 46*m - 20. Let p(w) = -3*w**2 - 47*w - 19. Let u(v) = -4*p(v) + 3*t(v). Let d be u(-8). What is the third biggest value in d, 2\/3, 5?\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 2809*k**3*r + k**3 - 29*k**2*r + k**2 + k*r + k + r - 145889 wrt k.\nAnswer: 16854*k*r + 6*k - 58*r + 2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -316 divided by -2.\nAnswer: 158","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*a + 0*c + 5*c + 85 = 0, -3*c = 9. Let h = a + 39. Solve 0*x - h*x = 0 for x.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 286575357?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(7) - ((sqrt(315)\/sqrt(5))\/sqrt(9))**2) + ((-1 + sqrt(7))*4)**2)*6.\nAnswer: -186*sqrt(7) + 726","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in -5, 8, 2\/105, 1\/5, -6, 0.38, 4?\nAnswer: 0.38","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = q - 2 + 3. Let u = 14 - 13. Which is the third biggest value? (a) -0.3 (b) u (c) q\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(l) = -l + 4. Let q(h) = -3*h + 9. Suppose 0 = 37*x - 109 - 39. Let u(f) = -10*f**2 + 2*f - 1. Let t be u(1). What is t*r(i) + x*q(i)?\nAnswer: -3*i","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*o = -o. Let m(i) = o - 3*i - 11*i - 1 + i. List the prime factors of m(-1).\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-744)\/(-54) + 16\/72?\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Express -16*f - 6 - 158*f**2 + 7*f + 2 + 5*f + 3*f as g + p*f**2 + u*f and give p.\nAnswer: -158","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -11.93000527 + 11.93. What is q rounded to 7 decimal places?\nAnswer: -0.0000053","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 2008\/197 or 10?\nAnswer: 2008\/197","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Expand (u - 3*u - 2*u)*(0*u**2 + 0*u**2 - 2*u**3) + 4*u**2 - 2*u**4 - 4*u**2.\nAnswer: 6*u**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -192 in 5, 0.4, -0.4?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let c(i) = -i**3 - i**2 - 7*i. Suppose 4*u - 5 = 3*u. Suppose -u*o = 3*p - 26, -3*p + 3*o = -19 + 1. Let v(w) = -2*w. Determine p*v(q) - 2*c(q).\nAnswer: 2*q**3 + 2*q**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1036*t - 613*t = -56066 for t.\nAnswer: 34","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let g be 14\/4 + 5\/10. Put g, 2, 0 in decreasing order.\nAnswer: g, 2, 0","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -1 minus 2844631?\nAnswer: -2844632","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of 1076, 8690, 29372, 69650, 136052, 235106, 373340, 557282?\n\"Answer: 1088*y**3 + 6*y**2 - 20*y + 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 9349 is divided by 339.\nAnswer: 196","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from qjrarqqzaqzjrqjq. What is prob of picking 2 r, 1 a, and 1 j?\nAnswer: 9\/910","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -18\/8473829 and 3\/2197.\nAnswer: 8473829","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of -42394864, -42394863, -42394862, -42394861, -42394860, -42394859?\n\"Answer: n - 42394865","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is -29.71 >= -66?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -571 - -570.998. Let k = g - -82.002. Which is greater: 0.2 or k?\nAnswer: k","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*b**2\/7 + 12127194*b\/7 - 12127196\/7.\nAnswer: 2*(b - 1)*(b + 6063598)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is -92a0 + -6?\nAnswer: -92a6","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is nineteen quarters of a microgram in nanograms?\nAnswer: 4750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*r - 19293 - 17417 = -4*y, -45889 = -5*y - 2*r. What is the hundreds digit of y?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 8681429 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Sort -10, -12, -2, -4 in decreasing order.\nAnswer: -2, -4, -10, -12","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let d(i) = -7*i + 1. Let f be d(3). Let t = -15 - f. Solve -x = -2*q + 13, 3*x - 16 = -0*q - t*q for x.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(m) = -14*m + 22*m - 29*m**2 + 30*m**2 + 10. Let z be w(-7). Suppose -5*b = -z*c - 0*c - 7824, -2*b - 3*c + 3117 = 0. Is b a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) -0.1 (b) 2 (c) -0.61 (d) 4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (-48)\/14*(-546)\/117. Suppose -40 = -k + j. What is the units digit of k?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth root of 1513 to the nearest integer?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose u = -4, -450 = -5*f + u + 294. Suppose -1457*o + 1472*o = 225. Calculate the remainder when f is divided by o.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(a) = 8*a**2 - 2*a + 3150. Does 63 divide y(0)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(x) = x**3 - 20*x**2 + 35*x + 64. What is q(18)?\nAnswer: 46","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -7\/4 + 5\/2. What is the closest to r in -1\/2, 7, 5\/6?\nAnswer: 5\/6","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -4*y**2 - 6*y**2 - y**2.\nAnswer: -11*y**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 70582\/5 or 14117?\nAnswer: 70582\/5","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is -2 plus -92.39?\nAnswer: -94.39","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 126\/(-10)*20\/(-6) and 9?\nAnswer: 126","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a be ((-9)\/(-2) + -3)\/((-24)\/(-32)). Solve -5*z = 5*q + 5, -a*z - 2 = 2*q + 2*z for q.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 43.21 - 42.85. Which is the second biggest value? (a) z (b) -1 (c) -0.1 (d) -1\/4 (e) -3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 121 + -18. Suppose -3*m - 81 = -4*w + 58, -m = -3*w + u. What is the first derivative of 7*v - 4*v + w - 3*v + 6*v**2 wrt v?\nAnswer: 12*v","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(z) = 2*z**3 - 15*z**2 - 54*z + 20. Determine f(10).\nAnswer: -20","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -657 + 659. Sort -14, f, 26, -1\/4, 0.3 in decreasing order.\nAnswer: 26, f, 0.3, -1\/4, -14","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8*i = -12*i + 168. Calculate the highest common divisor of i and 224.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -4*p**2 - 208*p.\nAnswer: -4*p*(p + 52)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 9\/916? (a) -10\/9 (b) 0.3 (c) 1\/4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 119 is divided by 24.\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 11171?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence lll when three letters picked without replacement from nnnnlnnlln?\nAnswer: 1\/120","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is a06 (base 13) in base 9?\nAnswer: 2284","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(117) - sqrt(117)*-1 - sqrt(13))*1*6.\nAnswer: 30*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is 2 - -1bc07ab4?\nAnswer: 1bc07ab6","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 1316368 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: Let j be (108\/(-60))\/(6\/(-650)). Suppose 8*f - j = -171. Solve 5*l = -f*l for l.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is 26 + 20?\nAnswer: 46","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 1452 and 192.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*s - 2*s = 9. Suppose -28 = 3*w - q, 33 = -0*w - 4*w - s*q. Let o = w + 15. What are the prime factors of o?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -24*i - 40 = -32*i. Let t(o) be the third derivative of 0 + 0*o**3 + 1\/60*o**5 + 1\/24*o**4 - i*o**2 + 0*o. Find the second derivative of t(h) wrt h.\nAnswer: 2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 176 minutes after 6:08 PM?\nAnswer: 9:04 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 5226376840?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence mump when four letters picked without replacement from mmpmgmuumpmp?\nAnswer: 1\/66","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Round 161.5797 to the nearest integer.\nAnswer: 162","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 67391729 to the nearest integer?\nAnswer: 407","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (3 + (0 - 7))*11*(-17)\/1870. Suppose -4\/5*d + 0 - v*d**2 = 0. What is d?\nAnswer: -2, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1, 26, -150 in descending order.\nAnswer: 26, 1, -150","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is 9934190\/(-168)*-6*2\/5 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 270 minutes after 2:35 AM?\nAnswer: 7:05 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -10*n + 30*n - 21*n.\nAnswer: -n","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is (32\/(-12))\/(4\/6)?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is 101223 + 210?\nAnswer: 102033","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 0.0351 + -4.0351. What is the second biggest value in d, -1\/3, 2?\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(425) + -4 + sqrt(425) + 0)*3.\nAnswer: -12 + 30*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -1 or -2.7528?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 956616 and 249552.\nAnswer: 5739696","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 5*w - 4*u + 5, -w + 2*w = -3*u + 18. Suppose -w*p = -32 + 2. Calculate the remainder when p is divided by 3.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j be 9\/(-3) + 0 - -5. Suppose -3*z = 5*x + j*z - 20, 5*x - 4*z = 56. Let t(u) = -u**2 + 9*u - 3. What is the remainder when t(x) is divided by 3?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 77 minutes before 2:01 AM?\nAnswer: 12:44 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -580592*n**4 + 70872*n**2 - 2?\nAnswer: -13934208*n","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve v = -r - 4, 3*v + 38 - 32 = 0 for r.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 91 + -83. Suppose -c + 15 - p = 0. Differentiate -t**3 + t**3 - c*t**3 + 15 + 8 wrt t.\nAnswer: -21*t**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.032500845 to 3 dps.\nAnswer: 0.033","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose t - 5*h = -h - 20, -4*h + 20 = t. Is 2\/25 equal to t?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: -11110101000110000110 (base 2) to base 9\nAnswer: -1800085","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0.3? (a) -3 (b) -2\/11 (c) -5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -0.1 + 0.1. Let h = 0.5 - g. What is the nearest to 0 in 0.1, -5, h?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Add 3.74 and 0.27.\nAnswer: 4.01","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -70? (a) 1 (b) 0.3 (c) 5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let l(y) = y - 4. Let r be ((-24)\/18)\/(2\/6). Let u = r + 7. Suppose 0 = 2*i + u*i - 15. What is l(i)?\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (j**2\/(j\/j**(-16)))\/((j**(-2\/19)\/j)\/j**35) assuming j is positive.\nAnswer: j**(401\/19)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-h + h - 4*h)*(-2*h**2 + 7*h**2 - h**2) + h - 3*h**3 + 5*h**3 + h.\nAnswer: -14*h**3 + 2*h","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let o(f) = f**3 + 7*f**2 + 8*f - 7. Let b be o(-5). Suppose 675 = 5*a - 4*u - u, -3*a = b*u - 405. What is the units digit of a?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (-4)\/(-6) + 6\/(-27)*12. Let i(a) = -4*a**3 - 3*a**2 - 3*a + 2. Let f be i(y). Let k = f - -58. Calculate the lowest common multiple of 8 and k.\nAnswer: 344","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (-3)\/(-2)*1*1\/(-6). Which is the third smallest value? (a) s (b) 3\/7 (c) -3\/5 (d) 8\/3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 20*l**5 + 13*l**5 + 7*l**5 + (2 + 0 - 3)*(-2*l**5 - l**2 + l**2).\nAnswer: 42*l**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let f be 0\/((-1 - -2)\/(-1)). Suppose 10*w - 790 = -f*w. Is w a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(u) be the first derivative of 4*u**3\/3 + 20*u**2 - 96*u + 163. Determine w so that d(w) = 0.\nAnswer: -12, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 2.6 + -2.2. Let d = 652 + -651. Let o be (-64)\/(-126) - 2\/9. What is the nearest to d in g, 2, o?\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose b - 7750 = -2*d + 21688, 0 = 5*b. Is d prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -15381, -27658, -39935, -52212, -64489?\nAnswer: -76766","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let v(l) = 2*l - 25. Let p be v(12). What is the second biggest value in p, 1, 3?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 6666 and 54824.\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-1)\/(-2)*(-15)\/6)\/(413\/3304).\nAnswer: -10","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Find x such that 2*x**5\/7 - 3354*x**4\/7 + 1401108*x**3\/7 + 4253744*x**2\/7 - 1205760*x - 1612800 = 0.\nAnswer: -4, -1, 2, 840","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of -934, -4009, -9150, -16357?\n\"Answer: -1033*s**2 + 24*s + 75","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 131910301 is divided by 695.\nAnswer: 691","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is 1 smaller than -222?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let i(z) be the third derivative of z**5\/30 - z**2. Let o(j) be the first derivative of 2\/3*j**3 + 0*j**2 + 0*j - 3. Give o(i(n)).\nAnswer: 8*n**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 55278\/6559 or 7?\nAnswer: 7","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 83673.94 litres in millilitres?\nAnswer: 83673940","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of -108104, -216206, -324296, -432368, -540416?\n\"Answer: j**3 - 108109*j + 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -157\/120 and -143\/22635720?\nAnswer: 22635720","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -3 + 3.01. Let p = -2.8 + 3. Put p, s, 5 in decreasing order.\nAnswer: 5, p, s","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(o) = -4*o**3 - 3*o**2 + 4*o - 26. Let x(u) = u**3 + u**2 - u. Let c(w) = -5*x(w) - y(w). List the prime factors of c(-6).\nAnswer: 2, 41","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(w) = 5*w**2 - 2*w + 1. What is the tens digit of p(-2)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0, 2, 34 in decreasing order.\nAnswer: 34, 2, 0","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 786*z + 436*z - 30550 for z.\nAnswer: 25","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let i(g) = 78*g**2 + 35*g - 91. List the prime factors of i(8).\nAnswer: 3, 11, 157","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify h**36\/h**(-3\/8) assuming h is positive.\nAnswer: h**(291\/8)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*f**3 - 5*f + 0*f**3 - 95*f)*(-f**2 + 2*f**2 - 2*f**2).\nAnswer: 2*f**5 + 100*f**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let d(m) = -1624*m + 9831. What are the prime factors of d(-43)?\nAnswer: 29, 41, 67","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 121964263.\nAnswer: 1427, 85469","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let i(a) = -a**3 + 4*a**2 + 4*a + 8. Let x be i(5). Suppose 0 = -5*m - x*m + 2392. Is m prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 0 at least as big as -12\/60365?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of -103, -205, -307?\n\"Answer: -102*n - 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (16 - 1)*4\/10. Let m be 14*(-1 - t\/(-4)). Solve -3*n = -m - 5 for n.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(h) be the second derivative of h**5\/10 - 4*h**3 + 16*h**2 + 189*h. Determine z, given that w(z) = 0.\nAnswer: -4, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in 0.06, 0.034, 3, 105, -2\/23?\nAnswer: 0.034","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is 0 - 1330212210320?\nAnswer: -1330212210320","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of 5267268, 5267273, 5267280, 5267289, 5267300, 5267313?\n\"Answer: x**2 + 2*x + 5267265","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Factor -c**2 + 717*c - 1430.\nAnswer: -(c - 715)*(c - 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Round 124088.19918 to the nearest 10.\nAnswer: 124090","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence gu when two letters picked without replacement from guggggggguggg.\nAnswer: 11\/78","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*j = 44*u - 41*u - 45, 27 = 2*j - 3*u. Let r(m) = 3*m**2 + 2 + 6*m - m**3 + 3*m**2 + 2*m + 3. Let i be r(7). Is i < j?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*c + l - 615 = -587, -56 = 4*c - 5*l for c.\nAnswer: -14","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Sort 456, 3, -7, -29799.\nAnswer: -29799, -7, 3, 456","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 20 - 53. Does 24 divide (12\/9)\/((-1)\/z)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(k) = k**3 + 10*k**2 - 8*k + 38. Calculate g(-11).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let s(q) be the second derivative of q**5\/80 - 5*q**4\/48 - q**3\/12 + 3*q**2 - 42*q. Factor s(o).\nAnswer: (o - 4)*(o - 3)*(o + 2)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -1? (a) 1\/4 (b) 10\/29 (c) -0.6 (d) 1\/12\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 82 minutes after 12:09 AM?\nAnswer: 1:31 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 214*c**4 + 358*c**2 - 2*c - 617899.\nAnswer: 856*c**3 + 716*c - 2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is twenty-seven quarters of a meter in millimeters?\nAnswer: 6750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let n be 25*(2 - 0 - 1). Suppose 5*m = a + n, -2*a + 0*a = 4*m - 34. Is 5 a factor of m?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 523847030?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is 5 a factor of (-108)\/(-8)*(25 - -5)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 2000 divide 254618178?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -155 - 85 - 146 - 838*p - 101 - 75 wrt p?\nAnswer: -838","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:20 AM and 8:48 AM?\nAnswer: 88","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is 14866730987 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let w(n) = -2*n**2. Let u(c) = -1967*c**2 - c - 4. Give u(w(s)).\nAnswer: -7868*s**4 + 2*s**2 - 4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 5 - 0. Let p be 3\/5 - 54\/(-10). Solve p = -y*d - 9 for d.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 58, 114, 170, 226, 282, 338?\nAnswer: 394","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand (4 - 4 + n)*(-6146 - 556*n**2 + 6146).\nAnswer: -556*n**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let s(y) = -15*y**3 - 2*y**2 - 7*y - 2. Let t(d) = 31*d**3 + 5*d**2 + 13*d + 5. Let x(f) = -5*s(f) - 2*t(f). Find the second derivative of x(q) wrt q.\nAnswer: 78*q","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*h = -17 + 2. Let a(s) = 2*s + 11. What is the lowest common multiple of a(-4) and h?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: -2066211 (base 7) to base 14\nAnswer: -67b08","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.000075374 rounded to 7 decimal places?\nAnswer: 0.0000754","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 475198 to the nearest integer?\nAnswer: 689","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 3823 is divided by 903.\nAnswer: 211","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (12 - -6) + (-23 - -11) + -46 + -12?\nAnswer: -52","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: -143.2 times -4\nAnswer: 572.8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is (0 + -3 + 0)\/1?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -7586, -8321, -9068, -9833, -10622, -11441?\nAnswer: -12296","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let j(p) = -p**2 - 22*p + 20. Give j(-16).\nAnswer: 116","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (-295032)\/(-36)*4\/((-4)\/3). Let u = -16301 - i. Is u prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(j) be the second derivative of j**8\/11200 + j**7\/700 + 3*j**6\/400 + j**5\/50 - j**4\/12 - j. Let r(x) be the third derivative of a(x). Factor r(l).\nAnswer: 3*(l + 1)**2*(l + 4)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -0.2 or 5528?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let x(r) = 28736*r**2 + 2*r - 1. Let l(b) = -17*b. What is x(l(g))?\nAnswer: 8304704*g**2 - 34*g - 1","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*l = 2*t + 16, 5*l + 5 - 24 = 3*t for t.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -0.01 + 0.07. Let r = -44.5 - -40.56. Let f = r - p. Which is the second smallest value? (a) f (b) -0.2 (c) 2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1502*k - 38647 = 6325*k + 55906 + 45314 for k.\nAnswer: -29","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Sort -0.2, 1.4, 121, -1\/2, 0.5, 575 in decreasing order.\nAnswer: 575, 121, 1.4, 0.5, -0.2, -1\/2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 4 and 7 + -1 - ((-8)\/4 - -2)?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(s) = -s + 1. Let v be -20*(-1)\/(-4)*2. Let w = v + 12. Let d be f(w). Do 4\/9 and d have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(d) = -60*d**2 + 115*d - 180. Let s(x) = -3*x**2 + x - 1. Let i(z) = 15*s(z) - w(z). Factor i(h).\nAnswer: 5*(h - 3)*(3*h - 11)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of 3218, 3743, 4272, 4805?\n\"Answer: 2*z**2 + 519*z + 2697","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {w: 2, i: 2, r: 5, v: 11}. Give prob of picking 1 r and 2 w.\nAnswer: 1\/228","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2560?\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let s(w) = -4*w + 2. Let o be s(1). Let x be o\/((4 + -3)*-1). Suppose 0*h = -x*v - 5*h - 2740, 4*v - h = -5436. What is v rounded to the nearest 100?\nAnswer: -1400","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from iiifififffc. Give prob of picking 1 f and 2 i.\nAnswer: 10\/33","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Does 19 divide 6919?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -10*w**3 + 3*w**3 + 5*w**3 + 3*w**3.\nAnswer: w**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.141 times 0.2?\nAnswer: -0.0282","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 z, 1 h, and 1 n when three letters picked without replacement from bppnnpbnlppzblbpph.\nAnswer: 1\/272","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of -173, -342, -511, -680, -849, -1018?\n\"Answer: -169*j - 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 2*p - 0*p for p.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is 46432121 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((a**17\/a*a\/((a\/(a\/(a\/(a\/(a\/a**(-1\/7)*a))*a))*a)\/a))**(17\/3))**0 assuming a is positive.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is 31579 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(80) + -1*sqrt(80)*2 - (6*sqrt(80)*-1 + sqrt(80))) + -1 + sqrt(80) + (-1 + sqrt(80))*-2 + sqrt(80) + 4)**2.\nAnswer: 160*sqrt(5) + 1305","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 460 is divided by 39?\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let u be ((-13801124)\/55)\/((-12)\/(-150)). Let c = u - -3132867. Let b = c + 3747. Find the common denominator of -83\/4 and b.\nAnswer: 44","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -9506910 by -186410.\nAnswer: 51","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -20 divided by -615083.\nAnswer: 20\/615083","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 1472603488?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-2 - (-12 + 6)) + -20 - 12.\nAnswer: -28","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -0.9 - 0.1. Let i = 0.055273 - 0.031273. Which is the closest to 0? (a) -0.1 (b) -0.4 (c) u (d) i\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(5) + (sqrt(40)*6)\/sqrt(8) + sqrt(5) + (sqrt(4235)\/sqrt(7) - sqrt(5)) + sqrt(5))**2.\nAnswer: 1805","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let w(h) = h**3 + 18*h**2 + 15*h - 43. Let y be w(-17). Which is the biggest value? (a) y (b) 4 (c) 9\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*t + 4*l + l - 235, -4*t + 2*l = -410. Suppose 4*x = -c + 83, c + 0*c - t = -5*x. Is 17 a factor of x?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 38*z + 9*z + 28*z + 25*z to v + w*z and give w.\nAnswer: 100","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-2)\/(-18 + 6) + 1\/6.\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(m) be the second derivative of -2*m**2 + 4*m - 1\/3*m**3 + 0. Calculate the remainder when 7 is divided by z(-4).\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {w: 5, z: 13}. Give prob of sequence ww.\nAnswer: 10\/153","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 129*q**2 - 15*q - 7*q - 2 + 28*q.\nAnswer: 129*q**2 + 6*q - 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.1 plus 725418235?\nAnswer: 725418234.9","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of 289, 366, 507, 712, 981?\n\"Answer: 32*r**2 - 19*r + 276","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Convert 92652.48cm to millimeters.\nAnswer: 926524.8","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is -202 + -1220?\nAnswer: -1422","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is 30631 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of 850, 1166, 1482, 1798, 2114?\n\"Answer: 316*k + 534","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let i(f) = -3139*f + 3379. What is i(0)?\nAnswer: 3379","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of -4220121, -4220120, -4220119?\n\"Answer: x - 4220122","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Factor -l**2\/4 - 148916*l + 4169697\/4.\nAnswer: -(l - 7)*(l + 595671)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of 20550852, 20550870, 20550888, 20550906?\n\"Answer: 18*u + 20550834","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -201*p**2 - 2*p + 30*p**2 + 2*p.\nAnswer: -171*p**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0.34 in -1, -3, -2\/5?\nAnswer: -2\/5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 204412 and 260?\nAnswer: 52","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((o*o**(-2\/9))\/o*o**(1\/4))**(-25) assuming o is positive.\nAnswer: o**(-25\/36)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-11880)\/1188)\/(3\/(-24)*10).\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) 2\/9 (b) 1\/56 (c) -0.2769\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence qii when three letters picked without replacement from iqiiiiqqiiiiii.\nAnswer: 55\/364","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 e and 1 r when two letters picked without replacement from {b: 1, g: 1, e: 2, r: 1}.\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is (-16 + 1 + (15 - 20) + 17 - 13) + -13?\nAnswer: -29","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -7032*n**2 + 105*n - 938704 wrt n?\nAnswer: -14064*n + 105","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -2 + (((sqrt(243) + 0 + sqrt(243)*-1 - sqrt(243)) + sqrt(243))**2 - ((sqrt(243) + sqrt(243) + -1)*2)**2).\nAnswer: -3894 + 144*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Factor -h**3 + 1385*h**2 + 1386*h.\nAnswer: -h*(h - 1386)*(h + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: -7*-16.81\nAnswer: 117.67","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let a(f) be the third derivative of -32*f**2 + 0 + 40\/3*f**3 + 0*f - 46\/9*f**4 + 1\/15*f**5. Factor a(x).\nAnswer: 4*(x - 30)*(3*x - 2)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1308689 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: -1169 (base 13) to base 2\nAnswer: -100110010101","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 575473 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve 35 = 27*q + 89 for q.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between -19517 and -351.4561?\nAnswer: 19165.5439","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -81 + 79.7. Let q = -0.3 - i. Let k = -3 + 2.5. Which is the biggest value? (a) k (b) -2 (c) q\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 373 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((1\/5)\/(-1))\/((-12)\/15*1285\/5140).\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth root of 1346550 to the nearest integer?\nAnswer: 34","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Sort -0.05, 0.5, 16\/5 in decreasing order.\nAnswer: 16\/5, 0.5, -0.05","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 5670861 is divided by 5670260.\nAnswer: 601","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is -29b - 2?\nAnswer: -29d","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is 51 a factor of (-3468)\/(-85)*(3 + 37)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 8694166?\nAnswer: 2, 13, 127, 2633","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*n + 61 = 2*q - 23, 0 = 3*q - 6. Solve -n = -5*p + 5*d, -7*d - 6 = p - 3*d for p.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 20 divide -16 + 2029 + 3 + 4?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -7903, -15792, -23633, -31402, -39075?\nAnswer: -46628","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: -116375130 + -339\nAnswer: -116375469","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is -49881.74 rounded to the nearest ten?\nAnswer: -49880","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let p be 116\/16 - (-9)\/12. Suppose w = -w - p, 5*l + w = 121. Is l a multiple of 11?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -468*-0.5.\nAnswer: 234","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of 12, 16, 18, 18, 16?\n\"Answer: -f**2 + 7*f + 6","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose h = -5*t + 10*t + 894, 3519 = 4*h - t. Does 31 divide h?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:30 AM and 3:48 PM?\nAnswer: 558","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-280)\/(-50))\/(104\/(-260)).\nAnswer: -14","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(x) be the third derivative of x**8\/6720 + x**7\/35 + 12*x**6\/5 - 41*x**5\/60 - x**2 - 26. Let k(a) be the third derivative of u(a). Let k(g) = 0. What is g?\nAnswer: -24","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in -1\/2, -166, 1\/3, -2, -0.01, -39?\nAnswer: -0.01","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -3 + 12. Suppose t + 2*t = -l. What is the units digit of 12 + t + 0 + -1?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -61\/7926 and 47\/1084541.\nAnswer: 6507246","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*h - 148 = -5*w, -8*w + 7*w = 5*h - 164. Suppose 214 = 3*s + 46. Calculate the highest common divisor of s and h.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(s) = s**3 + 4*s**2 + 3*s. Let c be (-4)\/3 + ((-64)\/(-12))\/(-8). What is the least common multiple of i(c) and 6?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 6109 to the power of 1\/2, to the nearest integer?\nAnswer: 78","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 32\/15 - 7\/3. Which is the nearest to 1? (a) 0.5 (b) p (c) -2\/7\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(228)\/(sqrt(36)\/sqrt(9)))\/(sqrt(3) + (sqrt(3) - (sqrt(135)\/sqrt(9))\/sqrt(5))))**2.\nAnswer: 19","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 4.01653 + -0.01653. What is the closest to -0.5 in y, 2, -0.4, -1\/6?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__closest_composed_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: Convert -3 (base 8) to base 12.\nAnswer: -3","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let v(p) = p**3 + 8*p**2 - 5*p - 10. Let r be 4\/10 + 66\/10. Let o = r + -15. Is v(o) a multiple of 14?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (25*p**2 + 64*p**2 + 10*p**2)*(-2*p + 13*p + 17*p).\nAnswer: 2772*p**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let x(i) be the second derivative of 25*i**3\/6 - i**2 - 389*i - 1. Let c(j) = -4*j. Give c(x(h)).\nAnswer: -100*h + 8","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let b be 128\/(-2 + 4)*-296304. Let i = -36363456 - b. What is i rounded to the nearest 1000000?\nAnswer: -17000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 755377935?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:04 PM and 1:36 AM?\nAnswer: 572","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 10*u**3 - 18*u**2 + 3 + 7*u**2 - 9*u**3 to y*u**3 + s*u + j*u**2 + m and give j.\nAnswer: -11","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is 18 - -249?\nAnswer: 265","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((2 + 0 + -6*(sqrt(684) - ((3 + sqrt(684))*1 - sqrt(684))) + -3 + 0)*4)**2.\nAnswer: -19584*sqrt(19) + 398608","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 42*v**2*y**4 - 49897*v**2*y - 4*v**2 + 246582*v*y**6 - y**2 - 3 wrt y.\nAnswer: 1008*v**2*y + 29589840*v*y**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let f(z) = 4*z**2 + 6. Let n be (-32)\/6 - 4\/6. Let h(x) = -4*x**2 - 5. Let y(m) = n*h(m) - 5*f(m). Let c(v) = -3*v**2. Give y(c(b)).\nAnswer: 36*b**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is -383759.3381 rounded to the nearest ten?\nAnswer: -383760","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Expand -9*f + 94313 - 94420 + 3*f + (4*f + f - 3*f)*(1 + 1 - 3) - f + 0*f - f.\nAnswer: -10*f - 107","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -6 - -9. Suppose p + h*p + p = 0. Solve 4*b + p*b - 16 = 0 for b.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(l) = 3*l - 3. Suppose 0*w + 4 = w. Let x(o) = -8 + 8*o + 7*o - w - 4. Give 11*c(q) - 2*x(q).\nAnswer: 3*q - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is 20094127 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -208.5557*-34.\nAnswer: 7090.8938","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: ((-204)\/(-17))\/(8\/(20\/(-5)))\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (-13)\/26*(-12 - 0). Suppose 0 = -2*k - 5*i + 9, -k = -n*i + i + 3. Solve -3*x + k = 11 for x.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify h**2*h*h\/(h*h**(-8)) assuming h is positive.\nAnswer: h**11","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 6 and 606?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 99, 99, 101, 105, 111, 119, 129?\nAnswer: 141","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 5\/1116 and -30\/31.\nAnswer: 1116","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -263.9 + 264. Let p be 1\/18*4*-1. Which is the second smallest value? (a) s (b) 0.4 (c) p (d) 5\/3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Subtract 0.02504 from -202.328572.\nAnswer: -202.353612","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (7\/(-13))\/(66\/154 - (-30)\/(-168)). Is -2 > z?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 816287 is divided by 50.\nAnswer: 37","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -3 + 7. Suppose -5*f + 168 = -3*r, 0*r = x*r + 4. Solve -f = 4*v - 5*a, -2*v - 7*a = -2*a - 21 for v.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is 430 + -14521660?\nAnswer: -14521230","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*o + 0*o - 3*o)*(2*o**3 + 2 - 2) + (5 - 5 + 2*o + 2*o**3)*(-292753 + 292753 - 1409*o).\nAnswer: -2820*o**4 - 2818*o**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0.4, -6, -0.8, 5, 2 in increasing order.\nAnswer: -6, -0.8, 0.4, 2, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -21*n + 44*n + 29*n.\nAnswer: 52*n","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -139*x + 19429 = -30055. What is the greatest common factor of 1602 and x?\nAnswer: 178","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (-7)\/5 - (-1 - 0). Let q = 260 + -260. Which is the second smallest value? (a) q (b) f (c) -2\/7\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 1096 + -1132 + (41 - -3).\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -1 or 2\/15921?\nAnswer: 2\/15921","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (7 - 5) + -4 + (-2 - -5).\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 7640843 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 9 - 19. Let m = -7 - l. Suppose 0*g + 2 = -3*g - 2*v, 1 = m*g - v. Solve 4*k - 2*c + 28 = g, 3*c = -k + 2*k + 17 for k.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.00033 rounded to three dps?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 21 and 3?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is 3763 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is (-150)\/((-21)\/(5 + 2)) a multiple of 25?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*q - 7*b + 24 = -2*b, 0 = q - 3*b + 11. What is the units digit of q?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 430 rounded to the nearest 10?\nAnswer: 430","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 559, 432, 299, 160?\nAnswer: 15","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 7707 to the nearest integer?\nAnswer: 88","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 863682?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve -98*u + 563 - 1099 = 2110 for u.\nAnswer: -27","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -17*m**5 + 2*m**4*n - m**2*n + 50*m + 3*n wrt m.\nAnswer: -340*m**3 + 24*m**2*n - 2*n","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 82961?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let i(h) = 2*h - 8. Let s be i(4). Suppose s = 2*x - 0 - 48. Let g = x + 35. What is the tens digit of g?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -110*h*o**2 - 40*h*o - 126*h + 55*o + 2734 wrt o?\nAnswer: -220*h*o - 40*h + 55","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -2\/941 or -1?\nAnswer: -2\/941","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-288)\/96*(-1)\/(-7).\nAnswer: -3\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of 17424, 16271, 15118, 13965, 12812?\n\"Answer: -1153*n + 18577","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (-140)\/(-20) - (3*2)\/(9\/(-282)). Calculate the highest common divisor of 1590 and q.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 142, 993, 3282, 7729, 15054, 25977, 41218?\nAnswer: 61497","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let o(i) = 4*i**2 - 1. Let w be o(-1). Let p = 3 - w. Solve 0*g + 2*g = 5*x - 9, p = 2*g + 4*x for g.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -2\/7 in -8, 4.6, -2, 77, 0.111?\nAnswer: 0.111","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -9 + 7. Suppose 5 = -4*w - 3*r + 38, -2*w = 3*r - 21. Let h(u) = 1 + 6 - 3 - u - w. What is h(f)?\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -85 - -100. List the prime factors of w.\nAnswer: 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 3355?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 8032318 and 2294948?\nAnswer: 16064636","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -0.2 in 107, 20017\/3, 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 264 minutes before 8:44 PM?\nAnswer: 4:20 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 368*0.792657.\nAnswer: 291.697776","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -b**5\/3 - 5*b**4\/3 + 26*b**3 - 24*b**2 = 0. Calculate b.\nAnswer: -12, 0, 1, 6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -27 - -29.3. Let g = -4.3 + r. Let p = 0.4 + 0.1. What is the closest to g in 2, 5, p?\nAnswer: p","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 67 + -65. Suppose 6 = -r*f + 12. Suppose -3*s - d - 2*d = -57, -f*s - d + 59 = 0. Solve 0 = -p - 3*p - s for p.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -0.23 + 0.03. Let g be 46 + (1 - (4 + -2)). Let f be (-46)\/g + 4\/18. Which is the closest to i? (a) 1 (b) f (c) 4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence kj when two letters picked without replacement from qjbjjbjjjkjjjj.\nAnswer: 5\/91","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is 633964050\/4050 + (4\/(-6))\/(-1) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2*a**3 - 82 + 0*a**3 + 82.\nAnswer: -2*a**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of (19296\/(-20))\/(-8) - 2\/(-5)?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(d) = 4*d + 6*d + 3*d + 12 - 12*d. Let l be y(-10). Suppose 5*b = 25, -2*w + 5*b + 315 = l*w. What are the prime factors of w?\nAnswer: 5, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 5884148 and 8912?\nAnswer: 23536592","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is 24 a factor of 825403?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: -0.4 times -450687\nAnswer: 180274.8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -70657.99900594 + 70658. Let m = -0.001 + p. What is m rounded to six dps?\nAnswer: -0.000006","meta":{"dup_signals":{},"source":"numbers__round_number_composed_test"},"subset":"dm_maths"} +{"text":"Question: Express 10*k**3 + 73*k**2 + 70*k**2 - 211*k**2 + 66*k**2 + 1285 in the form m + h*k**2 + z*k**3 + v*k and give m.\nAnswer: 1285","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 714 + -827. Sort i, -4, -5 in descending order.\nAnswer: -4, -5, i","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence yp when two letters picked without replacement from {r: 6, z: 3, p: 1, y: 2}.\nAnswer: 1\/66","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let v be 1\/1 + 21\/((-9)\/(-3)). Suppose v = j - 11. What is the tens digit of j?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many seconds are there in 77244.59 hours?\nAnswer: 278080524","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 0.3 - 0.2. Let r = 5 - 3. Let z be 160\/364 + (-6)\/39. What is the closest to z in -5\/3, a, r?\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(g) = g. Suppose 0 = 4*o + y + 28, -5*o - 41 = 2*y - 6. What is v(o)?\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (808\/(-40))\/(239\/(-7)). Let p = -55 + 13147\/239. Let d = n + p. Which is the second smallest value? (a) 0.2 (b) -2\/7 (c) d\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 468 minutes before 9:58 AM?\nAnswer: 2:10 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let i(c) be the first derivative of c**2 - 7. Let j(s) be the third derivative of -s**5\/60 - s**4\/12 - s**3\/3 - 8*s**2. Let r be j(-2). Give i(r).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(t) = -2*t + 3*t - 43*t + 6*t + 57. What are the prime factors of s(-6)?\nAnswer: 3, 7, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (-72)\/(-40) + 1\/5. What is the greatest common divisor of 16 and r?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*w - 11 - 9 = 0. Let j(b) = 75*b**2 + 85*b - 6. Let n(i) = 182*i**2 + 207*i - 15. Let o(v) = 17*j(v) - 7*n(v). Determine o(w).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out 11036 + -0.14868.\nAnswer: 11035.85132","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -14 + 15. Suppose -7*m + c = -13. Solve m*r + 4 + 0 = 0 for r.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((z*z*z\/z**(-2\/19))\/z)\/(z\/((z\/((z\/(z**17*z)*z)\/z))\/z*z))*z**(1\/24)\/z*z\/z**(2\/47) assuming z is positive.\nAnswer: z**(409445\/21432)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let p(d) = 6*d - 5. Let b(t) = 5*t - 4. Let s(i) = 5*i - 4. Let o(j) = 6*b(j) - 5*s(j). Let h be ((-13)\/(-3) - 3)*(-6)\/(-4)*-2. Calculate h*p(w) + 5*o(w).\nAnswer: w","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: How many micrometers are there in 3\/16 of a centimeter?\nAnswer: 1875","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 49\/(392\/52)*(-96)\/(-104).\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*t = 2*b - 62, 2*t - 3*b - 33 = 3*t. Let g be (2\/(-6))\/(3\/t). Let l be -2 - g\/6*3. What is the nearest to l in -3, 0.2, 0.3?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*x - 5 = -9*x. Let d be (-39)\/(-39)*(0 + x)\/(-3). Which is bigger: d or 0.084?\nAnswer: 0.084","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of -25, 6, 53, 116?\n\"Answer: 8*a**2 + 7*a - 40","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: How many nanometers are there in 724960.8 kilometers?\nAnswer: 724960800000000000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Does 26 divide 440409?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is 782423 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Factor 27*q**5\/4 + 567*q**4\/2 + 3249*q**3 + 5762*q**2 + 3680*q + 800.\nAnswer: (q + 20)**2*(3*q + 2)**3\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 898 - 901. Let q = 0.07 - 1.07. Which is the nearest to y? (a) -6\/7 (b) -2 (c) q\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 27368 + -2.13.\nAnswer: 27365.87","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-8*y - 87*y - 2 - 13*y)*((4*y**3 + 0*y**3 - 3*y**3)*(-y + 0*y - y) + 0*y**2 + 5*y**4 + 0*y**2 - 2*y**4 + 0*y**4 + y**4).\nAnswer: -216*y**5 - 4*y**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 8364 and 82?\nAnswer: 82","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 2*u**2*y**4 + 764*u**2 + 360*u*y**5 - 2*y wrt y?\nAnswer: 24*u**2*y**2 + 7200*u*y**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 27029 + -8970. Is o a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -8*q - 2*d + 12, 66 = -306*q + 157*q + 151*q - 4*d for q.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 5147611 is divided by 1286895?\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 11 + -1. Suppose -5*z + 12 + 0 = -4*c, 5*z + 6 = -2*c. Let y(g) = -8*g - 6. Calculate the remainder when y(c) is divided by r.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(k) = k**2 - 65*k + 240. Let a be q(4). Let x(c) = 3*c + 11. Determine x(a).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 115.2 - -7.8. Let c = 112.8 - o. What is c rounded to 0 dps?\nAnswer: -10","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1116955249 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 3655587, 14622388, 32900401, 58489626, 91390063?\nAnswer: 131601712","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -72 - 6*o**3 + 72.\nAnswer: -6*o**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is -2d25 - 3b50?\nAnswer: -6a75","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: -0.3 + 64.009510975\nAnswer: 63.709510975","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Express 4*h**2 + 6*h**2 - 6*h**2 + (0*h**2 + 0*h**2 + h**2)*(-6 + 10 + 0) + 4*h**2 - 2*h**2 - h**2 as w + p*h + s*h**2 and give s.\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -1 or -78\/8539?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 7*y**3 - 71*y**3 - 14 - 5*y**2 + 0*y - y**4 + y + 3*y**2 + 39*y**3 wrt y?\nAnswer: -12*y**2 - 150*y - 4","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -28*s + 26588 = -11*s. List the prime factors of s.\nAnswer: 2, 17, 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 20456, 83330, 188618, 336320, 526436, 758966?\nAnswer: 1033910","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1229?\nAnswer: 1229","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let n be 8\/6 + ((-46)\/(-24) - 3). Let m(a) = -a - 2. Let j be m(-3). Which is bigger: j or n?\nAnswer: j","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 134244\/(-7722)*2*39\/(-12)*(-9)\/9?\nAnswer: -113","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: 0.4 times 1741\nAnswer: 696.4","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let j(k) = 162*k + 650. Calculate j(-4).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -2\/23 in 156, 8.3, 3, 0.3?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*p + 5894 = -4601. Let s = p - -65078\/31. Calculate the common denominator of 19\/10 and s.\nAnswer: 310","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-15)\/75*2)\/((-8)\/10)?\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*g**3\/2 - 3099*g**2\/2 - 504075*g\/2 - 5165853\/2 = 0.\nAnswer: -133, -11, 1177","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*j + j - 2*m = -592, 5*j - 3*m = 762. Let k be (8\/j)\/(2\/5). Which is greater: 2\/3 or k?\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-15)\/(-3))\/((56\/7)\/8).\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 9601.369 micrometers in centimeters?\nAnswer: 0.9601369","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 522291829 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -f - 5, 166*j - 3*f - 2829 = -35*j for j.\nAnswer: 14","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -6 + 8. Suppose -r*g + 3*g = 6. List the prime factors of g.\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 4466 and 653312?\nAnswer: 638","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:43 PM and 3:29 AM?\nAnswer: 706","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-1 + 0 + 3)*(1 - 1 - 3*l**2) + (2*l - 2*l - l)*(4*l - 5*l + 2*l) + (-2*l + 0*l - l)*(-59*l - 157*l + 21*l).\nAnswer: 578*l**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve 911 = -57*n + 1481 for n.\nAnswer: 10","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 37*t**3 + 13 - 45*t**3 - 4 to the form d*t + q*t**2 + x*t**3 + p and give p.\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:13 AM and 6:49 AM?\nAnswer: 36","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 12969 to the power of 1\/2, to the nearest integer?\nAnswer: 114","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -19459, -35108, -50759, -66412?\nAnswer: -82067","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: 1 times -22.25\nAnswer: -22.25","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -37 + 37. Suppose n = 5*g - 3 - 117. What is the greatest common divisor of g and 60?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(l) = -3*l + 40. Let x = -7 - -12. What is the remainder when c(9) is divided by x?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 1 - 0. Let r = w - 1. Calculate the remainder when 69*(r - 2\/(-6)) is divided by 8.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -381*j = -323*j. Factor -1\/3*n**3 - 1\/3*n + j + 2\/3*n**2.\nAnswer: -n*(n - 1)**2\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -234545330*v**3 + 176315640 wrt v.\nAnswer: -703635990*v**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(121) - (1*sqrt(121) + sqrt(121))*2 - 2*sqrt(121)*-1)*-2)\/((1*-2*sqrt(88) - sqrt(88))\/(-3*2*sqrt(8) - sqrt(8))).\nAnswer: 14*sqrt(11)\/3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is 367 a multiple of 19?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Put -1, -73, -14, 13515 in decreasing order.\nAnswer: 13515, -1, -14, -73","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 4183759782 to the nearest integer?\nAnswer: 64682","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5 + 3 = 4*c. Suppose 0 = c*v + 2*m + 4, v + 2*m - 2 = -3*v. What is the second derivative of 4*g - 4*g**3 + 0*g - v*g wrt g?\nAnswer: -24*g","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 36876302?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: 14568446 times 1\nAnswer: 14568446","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-1)\/((-50)\/(-1240)*11\/((-495)\/(-36)))?\nAnswer: -31","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 18 + -12. Let y be (-30)\/(-20)*4\/b. Let a(o) be the first derivative of o**4 - o**3\/3 - o**2\/2 + o - 3. Calculate a(y).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 1057*d**3*f**3*q**3 + 8*d**3*f**2*q**2 + d**3*f**2*q + 2*d*f**3*q**3 + 4*d*f*q**3 wrt f.\nAnswer: 6342*d**3*q**3 + 12*d*q**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) -5 (b) 0.11 (c) 16 (d) -3 (e) -2\/7\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*y - 6 = -11. Which is smaller: -3\/10 or y?\nAnswer: y","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: ((-21)\/((-2499)\/(-34)))\/(2\/(-42))\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let k(h) = h**2 - 8*h + 6. Let r be k(7). Let f(y) = 2*y**3 - y**2 + y + 3. Let m be f(-2). Let n = m + 77\/4. Is n at least as big as r?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(q) = -1. Let d(m) = 5*m - 5. Let l(t) = d(t) - 6*z(t). Let i be l(1). Let p be 1*((-10)\/i - -2). What is the closest to -1 in p, -1\/4, 2\/5?\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 2672 to the nearest integer?\nAnswer: 52","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 209874 to the power of 1\/3, to the nearest integer?\nAnswer: 59","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 948?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Expand (14 + r + 5*r - 10*r)*(-5*r + 9 - 9).\nAnswer: 20*r**2 - 70*r","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 0 - -27. Suppose 3*m - 24 = w. Suppose m = 4*h - 127. Does 14 divide h?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -11*i + 4*i = 7 for i.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 340880 is divided by 4946?\nAnswer: 4552","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let k be 5\/(-2) - 9\/18. What is the units digit of k*((-60)\/(-9))\/(-2)?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 7 - ((-3 - (-9 + -2)) + 1).\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let a(s) = -5*s - 7. What is the units digit of a(-5)?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -6645705*s**2 - 283212*s + 1.\nAnswer: -13291410","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:44 AM and 11:49 AM?\nAnswer: 665","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((u\/u**(1\/4))\/u)**(-3\/22)\/((u\/u**(1\/8)*u)\/(u*u**(-8)*u*u)))**(-18) assuming u is positive.\nAnswer: u**(2709\/22)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (7 + 1155\/(-147))\/((-6)\/(-63)).\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(y) be the second derivative of 0*y**2 + 0*y**4 + 2\/21*y**7 + 0*y**5 - 2\/3*y**3 + y + 0 + 0*y**6. Find the second derivative of z(a) wrt a.\nAnswer: 80*a**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (n\/(n*n**(-2)*n)*(n\/n**(1\/3))\/n*n)\/(n\/(n\/(n*n*n**(-1\/3)*n*n))*n**(-1\/3)\/n) assuming n is positive.\nAnswer: n**(-2\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*t - 4*a + 12, 4*t = a - 2*a - 15. Let u(v) = -7*v. Let p be u(t). Let c = -24 + p. Sort 0, 1, c in decreasing order.\nAnswer: c, 1, 0","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 95625*z**5\/4 + 33475*z**4\/2 - 1918642*z**3 - 6634252*z**2 + 2425764*z - 190440 = 0. Calculate z.\nAnswer: -138\/25, 2\/17, 2\/9, 10","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let x(j) = 5*j + 29. Let p be x(-8). Is p greater than 0?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 5778 and 294.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = j + 2 - 11. Calculate the greatest common factor of j and 81.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 53046?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:22 AM and 12:13 PM?\nAnswer: 171","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -29 = -d + h, -4 = -h + 1. Suppose -3*p - 2*n - 15 = 4, 5*p + n = -d. Which is the second smallest value? (a) -1 (b) p (c) -0.1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(j) be the first derivative of 0*j**2 + j + 3 + 4\/3*j**3. Suppose 4*b = 9*b - 5. Give z(b).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 50 + -58. Which is greater: -58\/7 or o?\nAnswer: o","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (4 + (sqrt(2) + sqrt(72))**2)*1.\nAnswer: 102","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in 1, 3\/2, 2\/19, -3, -1\/4?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 3 + 5. Let w = -15 + a. Let b = 8 + w. Is b smaller than 0?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 36601 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is 30 a factor of 10120044?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let z be 2 - (-1 + (-2 + -17)*1). Suppose z = v - 48. What is the tens digit of v?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(p) be the second derivative of -p**8\/6720 + p**7\/840 + p**6\/240 + p**5\/30 + 5*p**4\/12 + p. Let y(a) be the third derivative of i(a). Determine y(3).\nAnswer: 13","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 25 divide ((-16)\/5)\/((-2)\/60)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 707911306.\nAnswer: 2, 37, 9566369","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence sv when two letters picked without replacement from tvstuttv?\nAnswer: 1\/28","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let s be -4 + 2 - -10 - 2. Let w be s + (-3 - 0)\/3. Is 448 + (20\/6 - w\/15) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(o) = 10199*o**2 - 18*o - 33. Is z(-2) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 9461313?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 9903 to the power of 1\/9, to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 426336 and 624?\nAnswer: 5542368","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of -2483, -4986, -7489, -9992, -12495, -14998?\n\"Answer: -2503*n + 20","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let z(f) be the third derivative of f**4\/12 - f**3\/3 - 2*f**2. Let d be z(3). Suppose -93 = -d*c - 13. Is c a multiple of 20?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 408, 799, 1190, 1581, 1972?\nAnswer: 2363","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -23*w - 282 = -26*w. Let r = w - 26. Is r a multiple of 17?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find s, given that 3*s**5\/5 + 573*s**4\/5 + 3918*s**3\/5 + 9996*s**2\/5 + 11064*s\/5 + 4416\/5 = 0.\nAnswer: -184, -2, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (-6)\/(-4) + (-38)\/(-4). Suppose -6*u = -1 - b. What is the third derivative of 4*k**2 + 53*k**6 + 2*k**u - 75*k**6 wrt k?\nAnswer: -2640*k**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(y) = 3*y**2 - 18*y + 8. Suppose z = 4*w + 6, 8 + 23 = 3*z + w. Let c be h(z). Let t = c + -68. List the prime factors of t.\nAnswer: 2, 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 b, 1 t, 1 x, and 1 q when four letters picked without replacement from {b: 1, x: 2, t: 1, w: 1, n: 1, q: 1}?\nAnswer: 2\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 66 times -0.37515?\nAnswer: -24.7599","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 11 + 4 = 3*m. Suppose 4*x = 2*x - 2*a + 16, 5 = -m*x + 4*a. Solve 2*b - 2*c = -2, -2*b - x*b = 4*c - 40 for b.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -55 + 2847*r**4 - 1499*r**4 + 352 - 1751*r**4 wrt r?\nAnswer: -1612*r**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 4.40267861 to 2 decimal places.\nAnswer: 4.4","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of (-7545)\/(-4200) + 4\/(-7) and -27\/44.\nAnswer: 440","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*a = -y - 18, -31 = -5*a + 2*y - 3*y. Sort a, -4, -0.03 in decreasing order.\nAnswer: a, -0.03, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 437 to the power of 1\/3, to the nearest integer?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-2 + sqrt(2) + 5 + 2*sqrt(4)\/sqrt(2))**2.\nAnswer: 18*sqrt(2) + 27","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 6407694509.\nAnswer: 6407694509","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is -1006346 (base 8) in base 7?\nAnswer: -2153616","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -h + 206 = -o, -5*o + 135 = -3*h + 759. What is the derivative of -h*x + 86*x**3 + 201*x - 20 - 8 wrt x?\nAnswer: 258*x**2 - 2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(o) = -o**3 + 29*o**2 - 8*o + 2. Let j(i) = i**3 - i**2 + 2*i - 1. Give -b(u) - 4*j(u).\nAnswer: -3*u**3 - 25*u**2 + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 644 minutes before 4:18 AM?\nAnswer: 5:34 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -1.6*-0.5.\nAnswer: 0.8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let g(f) = -19*f + 20*f + 6 - 1. Let c be g(0). Solve -8 - 12 = -c*w for w.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 136 in 2\/9, 0.6, -1\/29, -16, -27?\nAnswer: 0.6","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve -20*n + 29*n + 45 = 0 for n.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from seraaarbraarabsesrea. What is prob of sequence ebsa?\nAnswer: 7\/6460","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -303436.25244 - -302774.24. Let c = r + 662. Round c to three decimal places.\nAnswer: -0.012","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 236 is divided by 34?\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Convert 6.199194 centuries to years.\nAnswer: 619.9194","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -493 - -494. Let b(d) = -16*d + 232*d - v + 113*d + 1. Let r(i) = -2*i**2. What is r(b(h))?\nAnswer: -216482*h**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Expand k**2 + 8*k**2 - 3*k**2 + (-3*k**2 + 12*k**2 + 0*k**2)*(1 + 1 - 3)*(3 + 0 + 0) + (-k + k - 3*k)*(0*k + 3*k - 4*k).\nAnswer: -18*k**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((p**(-2)\/p)**(-7\/3))**(3\/25)*(p**6*p\/((((p\/((p*p**(-1))\/p)*p)\/p)\/p*p)\/p)*p*p)\/(p**(-1)\/p)**(1\/76) assuming p is positive.\nAnswer: p**(8423\/950)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let w(z) be the first derivative of -z**2 + 3*z - 1. Suppose -4*m = 3*m - 7. Let x = 7 - m. What is w(x)?\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (-4)\/14 + (-678)\/(-21). Let d be t\/(-6)*(-702)\/24. Let l = d + -67. Is l a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 48166857?\nAnswer: 3, 5351873","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -9 + 19. Which is greater: -9 or z?\nAnswer: z","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of -86, -167, -380, -791, -1466, -2471?\n\"Answer: -11*f**3 - 4*f - 71","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -3268395*w + 1621671 wrt w.\nAnswer: -3268395","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-15585 + 15579 - u**3 - 2*u**3)*(-3 - 2*u**2 + 3).\nAnswer: 6*u**5 + 12*u**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 39283 is divided by 715?\nAnswer: 673","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (j**30*j)**(-2\/17) assuming j is positive.\nAnswer: j**(-62\/17)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*o + 12 = 8. Solve -g - o + 0 = 0 for g.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 6 - 4. Find the second derivative of -4*l + 2*l + 4*l**2 + 3*l - l**n wrt l.\nAnswer: 6","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(u) = u**2 + 791. Is m(0) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -203.52 rounded to the nearest 100?\nAnswer: -200","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 86166.\nAnswer: 2, 3, 4787","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-388*k**2 - 107*k**3 - 367*k**2 + 757*k**2 - 3*k)*((4*k - 3*k + 0*k)*(3 - 3 + 2) + 3*k + 1 - 1) to o*k + q*k**4 + u + f*k**2 + n*k**3 and give q.\nAnswer: -535","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -2784 + 2787. Sort u, -102, -2.\nAnswer: -102, -2, u","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(q) = q**2 + 4. Let p(n) = -n**2 - n + 1. Let b(x) = -2*p(x) - y(x). Let i be b(-6). Which is greater: i or 17?\nAnswer: i","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 6 + (-3 - -11 - (78 - 34))?\nAnswer: -30","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 115651*f**2 - 91485?\nAnswer: 231302*f","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 60721?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Convert -44feaf (base 16) to base 7.\nAnswer: -53301434","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of 1954568, 1954545, 1954522, 1954499?\n\"Answer: -23*y + 1954591","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: 5 times -34.7\nAnswer: -173.5","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth root of 8371420 to the nearest integer?\nAnswer: 54","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let k(i) = -i**2 + 12*i - 29. Let f(v) = -v**3 - 18*v**2 + 19*v + 6. Let x be f(-19). Does 2 divide k(x)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 229*r - 117*r - 184*r - 155*r - 1 to x*r + p and give p.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of 2679, 4545, 6419, 8301, 10191?\n\"Answer: 4*y**2 + 1854*y + 821","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is -1 - -99?\nAnswer: 98","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of -128, -280, -432, -584, -736, -888?\n\"Answer: -152*f + 24","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-693)\/434)\/33*2?\nAnswer: -3\/31","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 521281177?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in 0.1, -0.27, -2, -5?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (5*(sqrt(68) - (sqrt(68) + (1*1*sqrt(68) - sqrt(68)) - sqrt(68)) - (sqrt(68) - -4*1*sqrt(68))))\/(sqrt(288)\/sqrt(8) - (-5*sqrt(24)\/sqrt(6) - sqrt(4))).\nAnswer: -20*sqrt(17)\/9","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -7.5 + 7.7. Let l = 0.6 - 0.9. Sort -2\/3, l, y in descending order.\nAnswer: y, l, -2\/3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 30 and 27965460.\nAnswer: 27965460","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*h = -i - 3*i - 16, 5*i + 31 = 3*h for h.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (-13 - 1548\/(-120))*-18. Factor -3\/5*m**4 + g*m**3 + 3*m**2 + 6\/5*m + 0 - 3\/5*m**5.\nAnswer: -3*m*(m - 2)*(m + 1)**3\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 4522 a multiple of 34?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let h(f) = -6*f - 978. Let b be h(-159). Let j(q) = 4*q + 73. Give j(b).\nAnswer: -23","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 33 + -33. Suppose l = 6*t - 8*t + 6. Suppose -4*k - 435004 = 5*a, -a + 4*k - t*k - 86999 = 0. Round a to the nearest ten thousand.\nAnswer: -90000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -8643 (base 15) in base 8?\nAnswer: -67375","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (3*sqrt(1715) + (-3*sqrt(385))\/sqrt(11))\/(-4*-3*-4*(sqrt(63) + sqrt(7))).\nAnswer: -3*sqrt(5)\/32","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between 227298 and -1?\nAnswer: 227299","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Factor 3*s**2 + 81930*s + 559377075.\nAnswer: 3*(s + 13655)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 42 + 42 - 63 - 26*x**4 wrt x?\nAnswer: -104*x**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u be ((-60)\/(-24))\/((-5)\/(-12)). What is the third derivative of 2*r**u - 16*r**2 - 11163*r**4 + 11163*r**4 wrt r?\nAnswer: 240*r**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (2144 + 1505 - 1219)*(2 + x - 2)*(3*x - 3*x + 2*x) - x**2 - 1 + 1 to q*x**2 + s*x + w and give q.\nAnswer: 4859","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1583581?\nAnswer: 191, 8291","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let w(j) = -j**2 + 4*j. Let q be w(-3). Let h = 43 + q. Let k = 21580 + -21576. Solve k*t = -3*g - h + 53, 35 = 5*t + 3*g for t.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1 + (-1 + -6 - -6).\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 107*s**5 + 21*s**4 + 117*s**3 + 19*s**2 - 89627*s wrt s?\nAnswer: 6420*s**2 + 504*s + 702","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Factor 0 - 2\/9*o**2 + 2\/9*o.\nAnswer: -2*o*(o - 1)\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -1? (a) 1 (b) 87 (c) 2\/5 (d) -1\/7\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is -267.61606 minus 0.4?\nAnswer: -268.01606","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: How many litres are there in 8508.826ml?\nAnswer: 8.508826","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let v(p) = -4*p - 10. Let a(s) = -1. Give -3*a(i) + v(i).\nAnswer: -4*i - 7","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 68 + -39. Let j = -196.757348 - -225.75741. Let v = q - j. What is v rounded to five dps?\nAnswer: -0.00006","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*x + 10 = -6*x. Put x, -3, 3 in decreasing order.\nAnswer: 3, -3, x","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(l) = -l**3 - 4*l**2 + 25*l - 4. Let q(f) = -f**3 - 7*f**2 + 49*f - 7. Give 3*q(d) - 5*y(d).\nAnswer: 2*d**3 - d**2 + 22*d - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let o(c) be the first derivative of 5*c**4\/4 + 10*c**3\/3 - 2*c**2 - 4*c + 551. Let y(d) = -d**3 + d**2 + d + 1. Give o(u) + 4*y(u).\nAnswer: u**3 + 14*u**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*v = 2*v + 4*u + 10, u + 10 = 2*v. Let h = -4 + v. Sort -2, -5, h in decreasing order.\nAnswer: h, -2, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 31\/(-7) - (-76)\/(-133).\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 15 in -0.18, 0.7, 3?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Does -0.1 = 1034798?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: How many years are there in 3\/10 of a decade?\nAnswer: 3","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of 8, 106, 262, 470, 724, 1018?\n\"Answer: -q**3 + 35*q**2 - 26","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose v - 4 = -v. Let r = -20 + 43. Let p = r + -20. Solve v + 4 = p*q for q.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 39 and 91?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*v + 8 = -0*v + 6*v for v.\nAnswer: 8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 849*r - 284*r + 802*r.\nAnswer: 1367*r","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Put -37, 1, 22, 10, -91, 5 in descending order.\nAnswer: 22, 10, 5, 1, -37, -91","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: How many years are there in thirty-three fifths of a century?\nAnswer: 660","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 223\/3 - (-36)\/(-27)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 12 a factor of 2016?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -r - 2*r - 2*y - 41 = 0, 4*r = 3*y - 49. Let j be r\/(-2) - (-9)\/(-6). Suppose -2*o - 4*z = -64 - 42, -4*o - j*z + 212 = 0. Is o a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of -6952, -13887, -20822, -27757?\n\"Answer: -6935*d - 17","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((v**(-22)\/(v*v**(-2\/113)))\/(v**(-1\/25)\/(v\/(v*v**22))))**(-22) assuming v is positive.\nAnswer: v**(2793164\/2825)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let d be 3\/((-35)\/(-10) + -2). Let o be d + 31 + 3\/(-3). Suppose 4*t - o = -0. What is the remainder when 13 is divided by t?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 q and 1 u when two letters picked without replacement from cqcnuqqddccqcsc?\nAnswer: 4\/105","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1497?\nAnswer: 3, 499","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 67041 to the power of 1\/5, to the nearest integer?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: 24121 (base 5) to base 8\nAnswer: 3372","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: 58 (base 14) to base 6\nAnswer: 210","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*z + 15 - 7 = 0. Let f(r) = 3*r - 1. Let j(d) = -13*d + 5. Let n(k) = -9*f(k) - 2*j(k). Give n(z).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 59 by -11886351.\nAnswer: -59\/11886351","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (-1 + 15\/12)\/(1\/12). Solve -5*s - 11 = 3*n + 6, -m*s - 2*n - 11 = 0 for s.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence eeek when four letters picked without replacement from {e: 7, l: 2, b: 2, k: 1}.\nAnswer: 7\/396","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -20494935*b**2 + 17359998*b wrt b?\nAnswer: -40989870","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -692 - -697. Solve -5*l - 3 = 3*w, w + 0*l + n*l + 1 = 0 for w.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(v) = v**3 - 8*v**2 + 8*v - 10. Let q be t(5). Let r = -269\/6 - q. What is the third biggest value in 9, r, -4?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(y) be the second derivative of 19*y**5\/10 + 30*y**2 + 37*y. Find the first derivative of j(c) wrt c.\nAnswer: 114*c**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*q + 15 = 5. Suppose 2*f - 144 = -q*f. Suppose -3*z - 5*k + 36 = 0, -3*z + 0*k = -3*k - f. Solve 0 = o + 2*o - z for o.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 9062623 is divided by 13.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 22389112?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Put -0.2, -8, -10 in decreasing order.\nAnswer: -0.2, -8, -10","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4 = -f, x - f - 64 = -2. Suppose -325 = -5*m - 3*b, -m = -4*m - 2*b + 195. Let s = m - x. Let q(z) = -23*z**2. Determine q(s).\nAnswer: -23","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -1365677*b*z**3 + 1300*b + z**3 - 19*z**2 wrt z.\nAnswer: -8194062*b + 6","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 32705.38l in millilitres?\nAnswer: 32705380","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let x be 23*(-3)\/9*-3. Solve 0 = 2*c - 5*z - x, -8*c - 2*z + 14 = -3*c for c.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -2*m**2*z**4 + 10*m**2*z - 9*m*z**3 + 102*z**4 + 7331*z**2 wrt z?\nAnswer: -48*m**2*z - 54*m + 2448*z","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let n(s) = s**2. Let l(x) be the first derivative of 0*x + 5\/2*x**2 + 2. What is n(l(v))?\nAnswer: 25*v**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let g(j) = 6*j**2 - 365*j + 1069. Determine g(58).\nAnswer: 83","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -1\/4? (a) 1.45 (b) -0.1 (c) -0.7 (d) 193 (e) 4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -28205 + 28204. Let u(r) = 4*r**2 + 5. Let j be (2 + -1)*(1 - -2). Suppose 5*b + 34 - 10 = -v, -j*v = 5*b + 32. Let l(t) = -1. What is b*l(p) + w*u(p)?\nAnswer: -4*p**2 - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let d(o) = -1886*o**3 + 2*o**2 - 5*o - 7027. Let s(i) = i**3 + i**2 - i + 7. Let n(m) = -d(m) + 2*s(m). Differentiate n(w) wrt w.\nAnswer: 5664*w**2 + 3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 5998186043 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 17\/12 + -3\/4. Let v be (-1)\/(2 - (-10)\/(-6)). What is the nearest to b in -3\/7, -0.1, v?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 20 = 2*k + 6. Does 3 divide k*(40\/14)\/2?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 24*y - 3 = 12*y + 9. Let v(t) = -t - 1. Let k(f) = -11*f + 4. Calculate y*k(x) + 2*v(x).\nAnswer: -13*x + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((d\/(d*d*d**3))\/(d*d**(-8\/5)*d))**22 assuming d is positive.\nAnswer: d**(-484\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 0 or -3963\/4145?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -k + i, -k + 0*i - 2 = i for k.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 2*b**5 - 8954*b**3 + b**2 - 62*b + 364 wrt b.\nAnswer: 40*b**3 - 53724*b + 2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 183?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let o(d) = -6*d - 293. Let t = -10217 + 10167. Give o(t).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 11775?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let d(v) = 4*v + 6*v + 9*v - 45 + 5*v - 21*v. Let u = 15 + 2. What is the units digit of d(u)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:28 PM and 1:44 PM?\nAnswer: 76","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 2628 and 48913504?\nAnswer: 292","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 28 - 27. Solve 0 = t - 3 - q for t.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*b = 5*j - 16, -7 + 10 = -b. Suppose -t - n + 147 = j*t, 0 = -n. Calculate the lowest common multiple of t and 21.\nAnswer: 147","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 29*y - 10*y = 0 for y.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is 46536534 - -11?\nAnswer: 46536545","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -27*g + 390 = 7*g - 4*g. Let y(h) be the first derivative of 3\/23*h**2 + 2\/69*h**3 + g + 0*h. Factor y(a).\nAnswer: 2*a*(a + 3)\/23","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*q = 3 - 1. Let p be 1\/q + 0\/10. Let a(z) = 5*z**3 + 2*z**2 + 2*z + 1. Determine a(p).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 7290427 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let t(v) = 41*v + 42. Let c(i) = 50*i + 43. Let s(f) = -5*c(f) + 6*t(f). Give s(12).\nAnswer: -11","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 56334754 is divided by 4164.\nAnswer: 4162","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (-8)\/104 - 11\/((-715)\/(-190)). Put 0, 4, f, -2 in increasing order.\nAnswer: f, -2, 0, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-8 - -8) + -12 - -9.\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is -1*(5 + -1) + 3 + -5?\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.05777 times 2.949?\nAnswer: 0.17036373","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the eighth root of 4031 to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1*1*2*(-3840)\/326400.\nAnswer: -2\/85","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = x - 0*x + 39. What is the tens digit of 3\/(-9)*1*x?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -10 or 381?\nAnswer: 381","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Sort -12, -2, -22, 5.\nAnswer: -22, -12, -2, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 11*z - 4700000 = 6*z. What is z rounded to the nearest 100000?\nAnswer: 900000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is s in -22*s**3 - 197248*s**2 - 2917966*s + 537060 = 0?\nAnswer: -8951, -15, 2\/11","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 11\/52 + 1\/26. Let i = 0.09 - 0.19. Let m = i - -1.1. What is the third biggest value in m, b, 0.1, -1?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -2 in -38, -1\/8, 242\/697?\nAnswer: -1\/8","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Product of 0.06 and 290.\nAnswer: 17.4","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*m - 5 - 31 = 0. List the prime factors of m.\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (9\/(-6))\/(6\/(-1)). Let v = 0.038 + -4.438. Let m = 0.6 - v. What is the third biggest value in g, -2, m?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -6.4995 - -6.3995. Suppose t = -0*t + 11. What is the third biggest value in 0.5, u, -4\/9, t?\nAnswer: u","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(g) = -g**3 - 7*g**2. Let v(p) = 3*p**3 + 27*p**2 + p - 28. Calculate 4*c(k) + v(k).\nAnswer: -k**3 - k**2 + k - 28","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Express -290923*f**2 + 145461*f**2 - 5 + f + 414*f**4 + 145464*f**2 in the form h*f**3 + p*f**2 + k + r*f + q*f**4 and give k.\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*f - 5*x = 19, 0 = 56*f - 55*f - 5*x - 1 for f.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve -6*h + 0*h = -7*h for h.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Does 775 divide 26737101?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is -5400 - -11?\nAnswer: -5356","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is 64 a factor of 27253184?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) 1 (b) -4 (c) -0.2058 (d) 164\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let d(x) be the third derivative of -x**6\/120 - x**5\/30 - x**4\/24 - 9*x**2. Let v be d(-3). Let n = -10 + v. Let l(t) = -t + 3. What is l(n)?\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (2 + 2 - 3 - -4) + -2?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 7.782 - 6.782. What is the third smallest value in -0.3, -2, -3, 26, x?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 15*v + 54 = 6*v for v.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from plipiipppn. What is prob of sequence npl?\nAnswer: 1\/144","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let d be ((-140)\/16)\/5*-4. Differentiate -24*a + d*a - 1 - 26 with respect to a.\nAnswer: -17","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 14\/3 + -5. Which is smaller: -0.7 or r?\nAnswer: -0.7","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 7\/3 of a millennium in months?\nAnswer: 28000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Divide -1555 by -142.\nAnswer: 1555\/142","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -148.0059 + 148. What is j rounded to three dps?\nAnswer: -0.006","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 3888495\/1217 at least 3195?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is 105b9 + -444?\nAnswer: 10175","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-2)\/25)\/((-49)\/((-18375)\/(-50))).\nAnswer: 3\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(x) = -22 + 13*x + 20 - 3. Let k(v) = -20*v + 7. Determine -7*f(q) - 5*k(q).\nAnswer: 9*q","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 49342?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 6057317\/(-59115) - (-306)\/3.\nAnswer: -7\/15","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 65061 to the nearest integer?\nAnswer: 40","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 67\/4686 and -131\/426.\nAnswer: 4686","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*z = 43 + 25. Let h = z + 24. Suppose -20 = -p - h. List the prime factors of p.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-1386)\/(-14553))\/((-3)\/(42\/8))?\nAnswer: -1\/6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let m(r) = -r**3 - 2*r**2 + 1. What is the units digit of m(-2)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*d + 255 - 171 = 0. Calculate the least common multiple of d and 16.\nAnswer: 112","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of -30, -32, -34, -36, -38, -40?\n\"Answer: -2*y - 28","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 385 and 20185.\nAnswer: 55","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 329.9839 - 330. Round x to 3 dps.\nAnswer: -0.016","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth smallest value in -11, -17, 1\/2, 1, 1\/4, -1\/4, 0?\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Determine u so that -2*u**3 + 2626*u**2 + 586706*u - 2998930 = 0.\nAnswer: -199, 5, 1507","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let p(w) = w**3 + 2*w + 60. Let b be p(0). Let z be (-2)\/(-12) - 2\/12. Suppose z*h + b = 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: Solve 0 = 1458*p + 10485 + 1179 for p.\nAnswer: -8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -1471 - -3046.5371.\nAnswer: 1575.5371","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 174 - 302. Let q = 134.8303 - -0.2697. Let h = q + d. Round h to the nearest integer.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of -272515, -272122, -271731, -271342, -270955?\n\"Answer: -p**2 + 396*p - 272910","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 17447 is divided by 2882.\nAnswer: 155","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 20*q**3 - 4*q**2 + 10.\nAnswer: 120","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Add together 18922 and 69760895.\nAnswer: 69779817","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:18 AM and 2:37 AM?\nAnswer: 19","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*c + 20 = c. Let k = c + 7. Suppose 0 = -5*f + 3*p + 77, -p + 5 = k*f - 44. List the prime factors of f.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(t) = 8*t - 6. Calculate l(2).\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let t(b) = -b - 3. Let g be t(-11). Suppose -g*l + 309 - 277 = 0. Solve -5*d + 4*i - 20 = 0, -24 = 5*d + 3*i - l for d.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of 4496, 8984, 13472?\n\"Answer: 4488*s + 8","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 2244014 or 2244046?\nAnswer: 2244046","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is -c45 - 7?\nAnswer: -c4c","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 22969 and 1236.\nAnswer: 103","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*k**3\/3 + 298*k**2\/3 + 614*k + 930 = 0.\nAnswer: -3, 155","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve -856*i - 4 = m - 1685*i + 844*i, -i = -2*m - 8 for m.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let u(j) = -2*j**2 - 4*j - 6*j**3 + 3*j**3 - 5 + 1. Let x(d) = -d**3 - d - 1. Let l be (-15)\/(-5) + -5 - (2 + 0). What is l*x(g) + u(g)?\nAnswer: g**3 - 2*g**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 3 c when three letters picked without replacement from cccppnc?\nAnswer: 4\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Expand 499468 - 408*g**5 - 499470 - 1090*g**5 - 2*g**5 + 0*g**5 + g**5 + (2*g**3 - g**3 + g**3)*(-4*g**2 + 4*g**2 + 2*g**2) - 3*g**5 + 0*g**5 + g**5.\nAnswer: -1497*g**5 - 2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 524 minutes before 5:09 PM?\nAnswer: 8:25 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Sort 5, 0, -31, -3 in increasing order.\nAnswer: -31, -3, 0, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Factor 5*u**2\/3 - 73*u\/3 - 10.\nAnswer: (u - 15)*(5*u + 2)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let p(m) = -4*m**3 - 8*m**2 + 10*m + 2. Let w(d) = -d**3 - d**2 + d + 1. Let l(i) = -2*p(i) + 4*w(i). Factor l(n).\nAnswer: 4*n*(n - 1)*(n + 4)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -5*w - 4*v + v - 6, -w + 5*v = -10. Solve 3*z + z = w for z.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -38*o + 10 - 10 = -151*o. Solve o = 9*k - 21 + 39 for k.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -3.965 - 0.035. Which is the nearest to 2? (a) r (b) -0.4 (c) -0.2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 434, -3, 35 in decreasing order.\nAnswer: 434, 35, -3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (0 + -3)\/(-18)*-2. Suppose k + 43*k = -88. What is the closest to -0.1 in k, z, 0.3?\nAnswer: z","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(o) = o**2 + 2*o - 2. Let z be n(-3). Let i(q) = q + 0*q + z - 7. Let r be (-88)\/(-14) - (-26)\/(-1911)*21. Calculate i(r).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*u**2 - 1022835*u - 165620538 = 0 for u.\nAnswer: -340783, -162","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 1229 + -625. Suppose 17*y + 111 = z. Calculate the remainder when 32 is divided by y.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*b = 2*b - 12. Let v = 2 - b. Let p(i) = 6*i + 2. Suppose -71*f = -66*f - 30. Let j(u) = -7*u - 2. Determine f*p(t) + v*j(t).\nAnswer: t + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve 545 = 21*h - 82*h + 385 + 1685 for h.\nAnswer: 25","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence tt when two letters picked without replacement from {t: 2, n: 2, m: 2}?\nAnswer: 1\/15","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let p(d) = d**2 - 4*d + 542. Let g be p(0). Suppose 0 = -5*t - a + 1177, -4*t + 400 = a - g. List the prime factors of t.\nAnswer: 5, 47","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2 - 77*k**2 - 80*k**2 + 134*k**2.\nAnswer: -23*k**2 - 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 406 - 4867\/12. Find the common denominator of p and -125\/54.\nAnswer: 108","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: -2050.8 times 3\nAnswer: -6152.4","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve 96 = -5*m + 126, 0 = 5*j - 2*m + 22 for j.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*b - 39 = -3*s, 0 = -5*b + s - 32 + 76. Let w = 77 + -35. Calculate the remainder when w is divided by b.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify x**(6\/5)\/x**8*(x**(-1\/6))**7 assuming x is positive.\nAnswer: x**(-239\/30)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of -49, -36, -9, 38, 111, 216, 359, 546?\n\"Answer: o**3 + o**2 + 3*o - 54","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*y = -5*b - 16, -3*b + 27402 = 9*y + 27426 for y.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 230 and 185?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is (-15)\/6*(-8)\/4?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -5*n + 15*n - 5*n - 2*n.\nAnswer: 3*n","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-123)\/30 - 9\/(-15) - 245\/(-50).\nAnswer: 7\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -1.52 + 1.5. Is g less than 2?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -n - 2*q = -4*n + 3, 4*q - 4 = -4*n. What is the common denominator of -25\/18 and (-8 - 63)\/(-7 - n)?\nAnswer: 72","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(d) = 9*d - 4. Let u(t) = -t + 1. Let i be (-1)\/(-4) + 60\/16. Let a(y) = i*u(y) + p(y). Let l(c) = -4*c**2. What is l(a(h))?\nAnswer: -100*h**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 158508571 to the nearest integer?\nAnswer: 541","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 929.3 + -912. Let r = 0.28 - 18.28. Let x = k + r. What is x rounded to 1 decimal place?\nAnswer: -0.7","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tenth root of 1275 to the nearest integer?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of -93, -213, -385, -633, -981, -1453?\n\"Answer: -4*y**3 - 2*y**2 - 86*y - 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 22233*y**3 - 22233*y**3 + 6338*y**4 + 2517 wrt y.\nAnswer: 25352*y**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 0.2, -5, -3\/53 in decreasing order.\nAnswer: 0.2, -3\/53, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 790.6487 centuries in years?\nAnswer: 79064.87","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 12*b - 6*b + 481 = 2*b - 5*d + 460, d + 12 = 7*b for b.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let g(o) = 4*o**2 + 20*o + 21. List the prime factors of g(-14).\nAnswer: 3, 5, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 1? (a) 502 (b) 5 (c) -4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 2.33 in -0.3, -3, -0.1, 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 3887177 and 219?\nAnswer: 11661531","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: 111466 + 1050\nAnswer: 112516","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 2 + (3*1*sqrt(190) + -2*-2*sqrt(190))\/((sqrt(40) - -5*sqrt(40)*-1)*5).\nAnswer: -7*sqrt(19)\/40 + 2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is -20 - -3a72?\nAnswer: 3a52","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is 1 equal to -40\/91?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let c(j) = -10*j - 1 + 0 + 14*j - 9*j. What is c(-4)?\nAnswer: 19","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 100185139 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8 = 5*u - 7. Solve u*p + 1 + 11 = 0 for p.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 784\/1078*(-5 - -27).\nAnswer: 16","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is 19 a factor of 1900?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Expand (6 + 7*v - 6)*((0 + 5 - 2)*(-7 + 8 - 2) - 1 + 4 - 1 + (3 - 5 + 0)*(-3 + 4 + 0) + 5 - 4 - 2).\nAnswer: -28*v","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Sort -5, 53, 66 in increasing order.\nAnswer: -5, 53, 66","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve -26*b - 71 + 56 + 691 = 0 for b.\nAnswer: 26","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let u(t) = 4*t + 2*t - 3*t. Let q(n) be the second derivative of n**3 - 7*n - 37*n**2 + 72*n**2 - 35*n**2. Determine -3*q(c) + 7*u(c).\nAnswer: 3*c","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -0.7 + -0.3. Which is the nearest to l? (a) -4 (b) 0.5 (c) 4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 f, 1 l, and 1 w when three letters picked without replacement from {w: 1, p: 3, s: 2, f: 3, t: 1, l: 3}.\nAnswer: 9\/286","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:41 PM and 12:25 AM?\nAnswer: 104","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -0.4 - -0.2. Let l = 3.1 - 3.2. Which is the nearest to 1? (a) -4 (b) d (c) l\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of -2761, -11033, -24821, -44125, -68945, -99281, -135133?\n\"Answer: -2758*u**2 + 2*u - 5","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve -196 - 146 = -38*i for i.\nAnswer: 9","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*c = z - 3 - 5, -3*z - 4*c = 28 for z.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let r(f) be the second derivative of -7\/3*f**3 + 7*f**2 + 0 - 24*f - 1\/12*f**4. What is the units digit of r(-14)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 51*r - 7381 = 50*r - 2*b, -2*b = 4*r - 29482. Does 53 divide r?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(r) = r**3 + 10*r**2 + 12*r + 4. Let v(d) = -d**2 + 5*d + 36. Let y be v(9). Let p be (8 + y - 2)*(-102)\/68. What is o(p)?\nAnswer: -23","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-224*g - 1307 + 1307 + (4 + 2 - 4)*(-2 - 2*g + 2) + 2 - 2 - g)*(0*g**2 + 7*g**2 + 9*g**2) to b*g + s*g**3 + o + i*g**2 and give s.\nAnswer: -3664","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 119616 to the power of 1\/4, to the nearest integer?\nAnswer: 19","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -0.0004 - 0.9996. What is the nearest to 2\/5 in g, -1\/4, 1\/9, 0.4?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(204)\/(sqrt(120)\/sqrt(40)).\nAnswer: 2*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from mmfsffnmsssssnsmfnnm. What is prob of sequence mf?\nAnswer: 1\/19","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_test"},"subset":"dm_maths"} +{"text":"Question: Simplify ((m*m*m**(1\/24)*m*m)\/((m\/m**(-3\/4))\/m*m))**(-15) assuming m is positive.\nAnswer: m**(-275\/8)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -d*u*v**2*y**3 - 63*d*u*v**2*y**2 - 4*d*u*v*y**3 + 10*d*u*v*y - d*u + d wrt v.\nAnswer: -2*d*u*y**3 - 126*d*u*y**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2629 - 1587 = -4*c - 4*l, 6 = 3*l. What are the prime factors of c?\nAnswer: 2, 263","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: 0.3*0.1418\nAnswer: 0.04254","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-16678)\/(-58373)*2*(-861)\/(-6).\nAnswer: 82","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let b(p) = p**2 - 16*p + 37. Let n be b(13). What is the tens digit of (n - 9156\/(-15)) + (-12)\/30?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -195*p - 206*p = -399*p - 2*j - 6, p - 31 = 5*j for p.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-2 + 0 - 1)*(1 + j - 1)*(j**2 - 2*j**2 - 2*j**2) to d*j**2 + r + h*j**3 + m*j and give h.\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*h - 99 = 3*k, -12*k - 868*h - 396 = -866*h for k.\nAnswer: -33","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 4*(8\/(-704))\/(-1)*8.\nAnswer: 4\/11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in -1, -7, 3, 2, -2?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Divide -3620592 by -70992.\nAnswer: 51","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 84 + -80. What is the greatest common factor of 12 and o?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -24? (a) 0 (b) -0.1 (c) 4 (d) -0.15\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (-2 + 1)\/(4 + -5). Let k(o) = o**2 + o - 1. Let q(v) = 8*v**2 + 6*v - 9. Determine c*q(y) - 6*k(y).\nAnswer: 2*y**2 - 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Express 12*p - 279 - 2*p**2 + 279 as o*p**2 + n*p + g and give o.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*j + 32 = -3*j for j.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0*z - z = -3, 3*t + 5*z = 0 for t.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -1461 + 2853\/2. Let x = 2580 + -36215\/14. Find the common denominator of x and o.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 3 and 0.56385.\nAnswer: 1.69155","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (15 - 684\/48) + 3\/(-4). What is the second smallest value in d, 4, 1\/9, 5?\nAnswer: 1\/9","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((3*(sqrt(34)\/sqrt(2) - sqrt(17))*4 + -4)**2 - (-1 + (sqrt(17) + -2 - sqrt(17)) - ((sqrt(68) + -1 + sqrt(68))**2 + sqrt(17))))*-2 + 2.\nAnswer: -582 + 14*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*y = -0*y + 72. Suppose 6 = -4*u - 2*l + 48, 2*u - 2*l - y = 0. Calculate the remainder when u is divided by 3.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*l - 42 = 339*m - 334*m, 4*m + 24 = 0 for l.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: -78 - 14\nAnswer: -92","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let n(j) be the third derivative of 1\/8*j**4 + 0*j - 2*j**2 + 0 - j**3. What is n(4)?\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 b when two letters picked without replacement from zzbzbbbbbbbzbbzzbzb?\nAnswer: 22\/57","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 5\/4 of a kilogram in grams?\nAnswer: 1250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose y - 3*y - 10 = 0. Let h be (-2)\/10 - (-6)\/130. Let b be (1 - 40\/12) + 3. Sort h, y, b.\nAnswer: y, h, b","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of c**3*m*t**3 - 16*c**3*m*t - 13*c**3*t**3 - 4*c**3*t**2 wrt m.\nAnswer: c**3*t**3 - 16*c**3*t","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (-5)\/((4 - 0)\/1). What is the closest to -2 in j, 0.5, -2\/5?\nAnswer: j","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 0 by -89.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in 0.2, 11, 1.132?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -2\/49 + -92\/147. Which is the closest to 0? (a) x (b) 4 (c) 0.7\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*y = 81 + 39. Let o = -71 - -64. Let j be (-343)\/o + 2*-2. Solve 5*s = 4*l + j, 0*l + l + y = 5*s for s.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence eee when three letters picked without replacement from tsmmsmeseaeemm.\nAnswer: 1\/91","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:12 PM and 3:16 PM?\nAnswer: 4","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 0 and 8.7?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((76\/12)\/19)\/(8\/(-432)*102).\nAnswer: -3\/17","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 53*b - 14233 + 25022 - 13015 for b.\nAnswer: 42","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is -100011001010011111100 + 1010111?\nAnswer: -100011001010010100101","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (-1050)\/(-45)*(5 - 2). Let j(a) = 4*a - 2. Let v be j(4). What is the highest common factor of v and m?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(n) = 82*n + 2. Let d be v(2). Let j = 251 - d. What is the greatest common divisor of j and 34?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (-3)\/5 + (-8)\/320. What is the third biggest value in t, -0.4, -4?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -4*x + 2*l + 2, 3*x - 74*l - 74*l - 71*l = -214*l - 2 for x.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 15*v - 16 = 29 for v.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {l: 1, i: 2, p: 6, u: 5, d: 2}. Give prob of sequence ud.\nAnswer: 1\/24","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let k(q) = q**3 - 259*q**2 - 784*q - 603. Determine k(262).\nAnswer: -79","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -31139, -120380, -269115, -477344, -745067, -1072284?\nAnswer: -1458995","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (966\/7)\/((-228)\/76)*2\/8*2?\nAnswer: -23","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 387*l**2 - 190*l**2 - 193*l**2.\nAnswer: 4*l**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is 2915 - 2?\nAnswer: 2913","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -1.074 - -1.374. What is the closest to 1 in 5, x, 3.68?\nAnswer: x","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 716892 by -65172.\nAnswer: -11","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose n = -2*n + 2*f - 6, 0 = n - 4*f - 8. What is the third biggest value in 67, n, -2\/7?\nAnswer: n","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(g) = 3*g**2 + 3*g - 1. Let o(r) = 14*r**3 + 11*r**2 + 24*r - 3. Calculate -3*l(t) + o(t).\nAnswer: 14*t**3 + 2*t**2 + 15*t","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*g - 1452*y + 1448*y - 370 = 0, -2*g + 3*y = -0*y - 148 for g.\nAnswer: 74","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (-4)\/14 - 512\/(-28). Suppose -5*j = -8*j + 9. Suppose g = -j*c - 0. Let m(o) = -o**2 - 6*o + 1. Give m(c).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of -488108, -1952433, -4392970, -7809719?\n\"Answer: -488106*w**2 - 7*w + 5","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 208 - 196. Suppose 5*m + 10 = 2*u - 16, 0 = -2*u - 3*m + 10. What is the remainder when z is divided by u?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (w\/(w*w**17))\/w**(-2) assuming w is positive.\nAnswer: w**(-15)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 91\/8780 and -157\/480.\nAnswer: 210720","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:52 AM and 6:17 PM?\nAnswer: 505","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 64251345?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 s and 2 o when three letters picked without replacement from soososooss.\nAnswer: 5\/12","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let z(h) = h**2 - 12*h - 4323. What is z(-60)?\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (2\/172)\/((-57)\/228).\nAnswer: -2\/43","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let h(j) = -3*j**2 + 26*j - 16. Let u be h(8). Suppose -f - f = u. Solve p - 1 = -4*v, -4*p + 3*v + 23 = -f*p for p.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is -1d4d6 - -5?\nAnswer: -1d4d1","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 5.779434l?\nAnswer: 5779.434","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (11 - 159\/15)\/(6\/(-15)). Sort -2, f, 144, -4 in decreasing order.\nAnswer: 144, f, -2, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of -19029, -84785, -194379, -347811, -545081?\n\"Answer: -21919*k**2 + k + 2889","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 546 minutes after 4:36 PM?\nAnswer: 1:42 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let o(n) = 177710*n + 4087331. What is o(-23)?\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: -28 * 2.3\nAnswer: -64.4","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let k be 556\/636*(0 + -3). Let q = 75471\/424 + k. Let r = q + -175. Which is the biggest value? (a) 0.2 (b) -1\/3 (c) r\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 3*l**4 + 6*l**4 + 4*l**4 + (-2 + 0 + 1)*(2*l**4 - 3*l**4 + 0*l**4) + 3*l**4 - 3*l**4 + 2*l**4.\nAnswer: 16*l**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 111 and 35298.\nAnswer: 111","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from gwzwzzzg. What is prob of picking 1 w and 3 z?\nAnswer: 4\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-341825)\/22825 - 6\/249.\nAnswer: -15","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*o - 7 = -19. Sort o, -1, 2.\nAnswer: -1, 2, o","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 611 or -127679?\nAnswer: 611","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is 81501169 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -3258*g**3 + 1096*g**3 - 14 + 998*g**3 + 1079*g**3 + 14.\nAnswer: -85*g**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (4 - -2)\/(4\/6). Let g(i) = 92*i + 4 + 5 + 7 - 15. Is g(d) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 55*72\/(-720)*4\/2.\nAnswer: -11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Factor -3*m**2 - 141540*m - 1669464300.\nAnswer: -3*(m + 23590)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 294841 to the power of 1\/3, to the nearest integer?\nAnswer: 67","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 254146 is divided by 247177.\nAnswer: 6969","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let g(z) = 2*z**2 - 14*z + 9. Let x be g(6). What are the prime factors of 80 + 3 + -4 + x?\nAnswer: 2, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(n) = 0*n**3 - 3 + 2*n + 2*n**2 - 4*n + 0*n**2 - 7*n**3. What is the units digit of h(-1)?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(w) be the third derivative of -w**7\/1155 - w**6\/220 + w**5\/110 + 7*w**4\/132 - 2*w**3\/11 - 6*w**2. Solve t(j) = 0.\nAnswer: -3, -2, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -587\/4515 + -1\/301. Let g = 36 - 35.5. Let a = 0.03 - 0.43. Sort a, b, g in increasing order.\nAnswer: a, b, g","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 21469 is divided by 6111.\nAnswer: 3136","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose y = -0*y + 3. Suppose i + y = -1. What is the units digit of (1*-2)\/(2 + i)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((w*w**(-1\/2)*w**(-2)*w)\/((w**(6\/7)*w)\/w**(7\/2)))**(-1\/2))**10 assuming w is positive.\nAnswer: w**(-40\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let r be -3*(3 + (-40)\/12) - 5. Sort -2, -3, r, -5.\nAnswer: -5, r, -3, -2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 4273 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: Is 229129 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-615)\/990*12)\/((-6)\/33).\nAnswer: 41","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let f be 0 + 1 + (-3)\/2. Suppose t - 1 + 6 = 0. Let l be (1\/5)\/(2\/t). Which is the closest to l? (a) -4 (b) 2 (c) f\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 5 + 22*p**3 - 9 - p**3 - 19*p**3 + 4.\nAnswer: 2*p**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 53 minutes before 1:11 AM?\nAnswer: 12:18 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Express -3 + 10*z + 5 - 2*z**4 + 7*z + 2*z**3 - 28*z - 3*z as m*z + q*z**3 + d*z**4 + c + g*z**2 and give c.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -23\/22 + -212\/55. Calculate the common denominator of y and -29\/13.\nAnswer: 130","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) -0.059 (b) 3 (c) 5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 677 minutes before 4:44 PM?\nAnswer: 5:27 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 4885 is divided by 271?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is -1773 divided by -12?\nAnswer: 591\/4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 6122 + -3385464\/553. Which is smaller: v or 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in 2, -2, -4\/7, 0.018?\nAnswer: -4\/7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Work out -735.32 - 135268.1.\nAnswer: -136003.42","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let q(t) = 4*t - 1. Let z(u) = -18*u + 6. Let c(j) = 11*q(j) + 2*z(j). Let m(l) = l. What is c(n) - 5*m(n)?\nAnswer: 3*n + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve f - 5*f + 9*p = 5*p - 36, -27 = -2*f + 11*p for f.\nAnswer: 8","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let 47 - 43*j + 11*j - 5*j**2 + 43 - 53*j = 0. Calculate j.\nAnswer: -18, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*r + 114 = 9*r. Calculate the remainder when 208 is divided by r.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -130 + 129.8. Are n and -108\/5 nonequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(l) = l**2 - 11*l. Let k be m(-7). Suppose k - 6 = 3*u. What are the prime factors of u?\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -98742*o*r**3*s - 21538*r**3*s - r**2*s wrt o.\nAnswer: -98742*r**3*s","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -44496*b**2 - 45994*b**2 - 17684*b**2 - 23698*b**2.\nAnswer: -131872*b**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is 2505168223 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 15 + -11. What is the third derivative of -a**2 + a**4 - a**4 - 3*a**g wrt a?\nAnswer: -72*a","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(u) = 10*u. Let a(i) = -11*i. Suppose -l + 4 = x, -l + 5*l - 18 = -5*x. What is x*o(h) + 3*a(h)?\nAnswer: -13*h","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Sort 34, -767, 7, -8, 4, -5 in increasing order.\nAnswer: -767, -8, -5, 4, 7, 34","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is -218 + -116?\nAnswer: -333","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve -209*q + 2594 = 18*q + 56*q + 330 for q.\nAnswer: 8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose x + 3 = 2*x. Suppose -13 = -x*j + 2*j - 3*c, -3*c = -9. Differentiate -5 + 7*v**2 - 18*v**2 + 11*v**2 + 2*v**j wrt v.\nAnswer: 8*v**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(v) be the first derivative of v**3\/3 + v**2 - 3*v + 3. Let g(k) be the first derivative of t(k). What is the derivative of g(i) wrt i?\nAnswer: 2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 107817 is divided by 511.\nAnswer: 507","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let d be 10*((-22)\/(-5) - 4). Solve u + d*u = 0 for u.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -1798.8 + 1799. Sort 0.4, f, 0.01, -0.28 in decreasing order.\nAnswer: 0.4, f, 0.01, -0.28","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: 111001101000100000011 (base 2) to base 9\nAnswer: 3487500","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 4*r + m + 1, 56*m = 29*m + 31*m + 4 for r.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 1353?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 48472\/37 + -1310. Let n be 0\/((3 - 1)*(-15)\/30). Which is smaller: o or n?\nAnswer: n","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor k**2\/4 - 3198*k - 48791025\/4.\nAnswer: (k - 15867)*(k + 3075)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let j(r) be the second derivative of r**5\/20 + 7*r**4\/12 - 2*r**3 - r**2 + r. Does 9 divide j(-8)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 157 = 5*d + 152. Let w be 3 + -2 + 2\/d + 13. Does 14 divide (-189)\/(-12)*w\/3?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x be 399\/361 + 2\/(-19) - -3. What is the nearest to -2\/3 in 4\/3, x, -1\/7, -1\/10?\nAnswer: -1\/7","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (w*w*w*w**(-2\/3))**22*(w**(-1))**(-1\/10) assuming w is positive.\nAnswer: w**(1543\/30)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -83\/2537236 and 79\/9204?\nAnswer: 7611708","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -33\/47 and 23\/351.\nAnswer: 16497","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 1527704283 to the nearest integer?\nAnswer: 1152","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is 32375637391 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let m(n) = -27*n + 38. Let z be m(-6). Suppose 20*v - z = -0*v. Solve 0 = -4*p - 5*f - 31, 2*f + v - 4 = 0 for p.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (x**(-2\/11)\/(x*x**(8\/7)))\/(x**(-10\/9)*x\/(x*x**(2\/5))) assuming x is positive.\nAnswer: x**(-2819\/3465)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*s + d = -127, 0*s - 149 = -5*s - 2*d. Suppose -20 = -s*c + 21*c. What is the derivative of 32*q**c - 16 + 21*q**2 + 3 - 24*q**2 wrt q?\nAnswer: 58*q","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of -1433795, -2867583, -4301371, -5735159, -7168947, -8602735?\n\"Answer: -1433788*l - 7","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 1195505, 1195825, 1196143, 1196459, 1196773, 1197085, 1197395?\nAnswer: 1197703","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 163 + -24. What is the tens digit of a?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(y) = y - 7. Let c(o) = -o + 8. Suppose -t = -10 + 2. Let w = t + -6. Let d be (-104)\/(-18) - w\/(-9). What is d*q(h) + 5*c(h)?\nAnswer: h - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Add -12924.2 and 189.\nAnswer: -12735.2","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of -176, -1059, -2640, -4913, -7872, -11511, -15824, -20805?\n\"Answer: m**3 - 355*m**2 + 175*m + 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -2769.9 - -2770. Suppose 8 = 3*r - r. What is the third biggest value in -1, l, 0, r?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 3*(sqrt(304)*-2 + -3).\nAnswer: -24*sqrt(19) - 9","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 22334.52208 - 22337. Round j to 1 decimal place.\nAnswer: -2.5","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 10 divided by -10.\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3212129 = -1112*v + 3251049 for v.\nAnswer: 35","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from maxxlxoxhlxxaxhaxma. Give prob of sequence xmx.\nAnswer: 56\/2907","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let h(k) = 4*k**3 + 3*k**2 + 7*k - 10. Let u be h(7). Suppose -2*q + 3733 = 5*l - 1377, l + 3*q - 1022 = 0. Let d = l - u. Round d to the nearest 10.\nAnswer: -540","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -3, 2, 63, 5 in decreasing order.\nAnswer: 63, 5, 2, -3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let c(s) = -214*s**3 - 11*s**2 - 11. Let t(z) = 43*z**3 + 2*z**2 + 2. Give 2*c(n) + 11*t(n).\nAnswer: 45*n**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*l - 62 = -4*z - 2, 0 = 4*z - 5*l - 63. What is the common denominator of 18\/z*(-51)\/9 and 53\/8?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(b) = -432*b - 428*b - 406*b + 1283*b. Let n(p) = p - 54. Determine n(h(r)).\nAnswer: 17*r - 54","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 3\/26 - 93\/130. What is the closest to -7 in c, -2\/7, 2?\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) -5 (b) 0.9 (c) -2\/13 (d) -28 (e) 1\/3 (f) 1\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:50 AM and 3:01 PM?\nAnswer: 371","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:37 PM and 8:26 AM?\nAnswer: 589","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of 67, 85, 103?\n\"Answer: 18*j + 49","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of 818, 2386, 4706, 7778, 11602?\n\"Answer: 376*b**2 + 440*b + 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 24051 is divided by 790.\nAnswer: 351","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let h(t) be the third derivative of -t**9\/1008 + t**5\/60 - t**3\/2 - 3*t**2. Let j(l) be the first derivative of h(l). Find the second derivative of j(z) wrt z.\nAnswer: -60*z**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -23 - -27. Solve -g + 2 = 2*s, l*s = -5*g + 3 - 11 for s.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let 5*j**2\/3 - 897630*j - 277420715\/3 = 0. What is j?\nAnswer: -103, 538681","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is 21 + 110100102202?\nAnswer: 110100110000","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-2332)\/(-424)*52\/11.\nAnswer: 26","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -5*((-2*(sqrt(133) + (sqrt(133) + (sqrt(133) - (sqrt(133) + sqrt(133)*3)) - sqrt(133))))\/(sqrt(84)\/(sqrt(108)\/sqrt(9))))**2.\nAnswer: -1520","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the tenth root of 99660105 to the nearest integer?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-6*sqrt(4)\/(sqrt(14)\/sqrt(7)))**2.\nAnswer: 72","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let v(t) = -3*t + 14. Let r(k) = -362263*k. What is r(v(o))?\nAnswer: 1086789*o - 5071682","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -1706, -4626, -8762, -14114, -20682, -28466?\nAnswer: -37466","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 342 and 513.\nAnswer: 171","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Round 577.081 to the nearest 100.\nAnswer: 600","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Work out -0.067 - -26652401327.4.\nAnswer: 26652401327.333","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (b\/(b\/b**(-19)))\/b**(-10) assuming b is positive.\nAnswer: b**(-9)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let p(k) = 556*k**2 - 5609. Let d(l) = 278*l**2 - 2805. Let q(j) = 13*d(j) - 6*p(j). What is the derivative of q(g) wrt g?\nAnswer: 556*g","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (22 - 24 + 35)*((-2 + 6 - 2)*(4*m - m - 2*m) + 2*m + 1 - 1 + 4*m - 5*m + 0*m) to the form f + w*m and give w.\nAnswer: 99","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 3\/(-9)*84\/364.\nAnswer: -1\/13","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-g**3 - 2*g**3 + g**3)*(-g - 2*g + 5*g) + (63*g - 39*g - 161*g)*(-g**3 + 2*g**3 + g**3).\nAnswer: -278*g**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -6 - 0. Is (q\/(-12))\/(1\/148) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -o - 2*p + 1515 = 0, 0 = 5*o + 361*p - 356*p - 7565. Calculate the remainder when o is divided by 86.\nAnswer: 49","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 3742 - 0.8.\nAnswer: 3741.2","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose d**4 - 15807*d**3 + 62441597*d**2 + 187435455*d + 124978050 = 0. What is d?\nAnswer: -2, -1, 7905","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 466100037 divided by -3.\nAnswer: -155366679","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*s = -g, -2*g = 5*s + g. Suppose -2*w + 7*w - 20 = s. Suppose 3*q = -5*c + 6, -q = -0*q - w*c - 19. Is q a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 3817, 7593, 11335, 15049, 18741, 22417, 26083, 29745?\nAnswer: 33409","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let w(s) be the first derivative of s**7\/280 + s**5\/30 + 4*s**3\/3 + 2. Let r(x) be the third derivative of w(x). Find the second derivative of r(i) wrt i.\nAnswer: 18*i","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is ec227 (base 16) in base 13?\nAnswer: 27b317","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) -2\/51 (b) -1\/9 (c) 48 (d) -281\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Express (-3 + 9 + 1)*(5*t - 3*t + 0*t)*(0 + 1 + 0) in the form b + m*t and give m.\nAnswer: 14","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 886 + -629. Is m prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 47 + -68. Let s = t + 5. Let p = -15.8 - s. Which is the second smallest value? (a) -0.4 (b) 0 (c) p\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 6290610 divided by 4.\nAnswer: 3145305\/2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 338811\/22 - (-8 - (-153)\/18)?\nAnswer: 2, 5, 7, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 31, 30, 29, 28?\nAnswer: 27","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 15091700 to the power of 1\/6, to the nearest integer?\nAnswer: 16","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let u(w) be the second derivative of 13*w**6\/10 + 6*w**3 - 2837*w**2 + 73*w - 3. Differentiate u(j) wrt j.\nAnswer: 156*j**3 + 36","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 707110 is divided by 854?\nAnswer: 852","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let r(z) be the second derivative of z**5\/10 + z**4\/6 - z**3\/3 + z**2\/2 - 7*z. Give r(1).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -1\/9? (a) 10181 (b) 2\/15 (c) -3\/2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -2*j**4 - j**2 + j**2 + (29*j - 29*j + 13*j**3)*(-160 + 160 + 235*j) + 6 - j**4 - 6 to v*j**4 + x*j + y + n*j**2 + b*j**3 and give v.\nAnswer: 3052","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-3*((3*sqrt(70)*-4)\/sqrt(10) - sqrt(84)\/((sqrt(12) + sqrt(48)\/sqrt(4))*6)))**2*1 + -5.\nAnswer: 147095\/16","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is 152 a multiple of 11?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (-1 + 4 - 4) + 253. Find the common denominator of -41\/14 and 2\/7 - 2102\/i.\nAnswer: 126","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 4323.11 in 5, 0, 2, 3?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 7*d**2 + 2*d - 148 + 72 + 0*d**2 with respect to d.\nAnswer: 14*d + 2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -3*v**3 - 113*v**2\/2 - 341*v\/2 + 30.\nAnswer: -(v + 4)*(v + 15)*(6*v - 1)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let l(c) = -5*c - 5*c - 6*c + 17*c. Let v(b) = 6*b**2 + 4 + 9*b**2 - 4. What is v(l(y))?\nAnswer: 15*y**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -a**3*d**3 + 16*a**3*d - 21*a*d**2 + a*d - 2*d**3 wrt a?\nAnswer: -6*a*d**3 + 96*a*d","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Put together -14.7 and -35.60017121.\nAnswer: -50.30017121","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -11 + 14. Suppose -c*i + 5*u + 75 = 0, -i - i + 55 = -5*u. Solve -4*p + 0*p + i = 0 for p.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 m and 1 z when two letters picked without replacement from mmmmmmmzzm?\nAnswer: 16\/45","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 604 - 604.056. Let u = -0.156 - n. Let f = -0.6 + -4.4. What is the fourth biggest value in u, 2\/9, f, 2\/3?\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 3*a**2\/7 + 153849*a\/7 + 769170\/7.\nAnswer: 3*(a + 5)*(a + 51278)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 r and 1 p when three letters picked without replacement from {r: 10, p: 7, j: 1}.\nAnswer: 105\/272","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 13078?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Convert 20.34555ug to kilograms.\nAnswer: 0.00000002034555","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 242 - 263 = 7*c for c.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is 301543387 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in -0.2, -2\/5, -1, -0.5?\nAnswer: -2\/5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is 128 a factor of 293948032?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 2180538 and 5496.\nAnswer: 1374","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 1\/2? (a) 31\/5 (b) 3 (c) 0.3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Put 1, 1\/2, -4, -3, 2.29 in ascending order.\nAnswer: -4, -3, 1\/2, 1, 2.29","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -1392*h + 1371*h + 44709. What is the thousands digit of h?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 21931857.\nAnswer: 3, 23, 35317","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Round -16533.7859 to the nearest 1000.\nAnswer: -17000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 7696, 7236, 6776, 6316, 5856, 5396?\nAnswer: 4936","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let s(n) = n**3 - 5*n**2 - 8*n + 36. Suppose -36*q + 752 - 644 = 0. Calculate s(q).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: ((-234215)\/(-17514))\/337*(14\/10)\/1\nAnswer: 1\/18","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -17, -172, -591, -1406, -2749?\nAnswer: -4752","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -0.63 - -0.629044. Round m to four decimal places.\nAnswer: -0.001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 21480650 divided by -103.\nAnswer: -208550","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let n(r) = r. Let k(l) = 36*l**2. Determine n(k(u)).\nAnswer: 36*u**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Find f, given that -5\/12*f**2 + 0 - 1\/2*f - 1\/12*f**3 = 0.\nAnswer: -3, -2, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 230516?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let w(y) = 3*y**2. Let x(d) be the first derivative of 2*d**3\/3 + 3. Give w(x(g)).\nAnswer: 12*g**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let -6*o**3\/5 - 48006*o**2\/5 - 15080184*o\/5 + 31121688 = 0. Calculate o.\nAnswer: -7673, -338, 10","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence pptr when four letters picked without replacement from {t: 3, p: 7, r: 2}?\nAnswer: 7\/330","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.3 times 0.006?\nAnswer: 0.0018","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let m(i) = -i**2 + 7*i + 3. Let o be m(7). Let h = 3 + -2. Let u = -3085\/9 - -343. Which is the closest to h? (a) o (b) u (c) -1\/10\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: (54\/(-24) + 3)\/(14\/224)*2\nAnswer: 24","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of -40746, -40838, -40942, -41064, -41210, -41386?\n\"Answer: -h**3 - 85*h - 40660","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-18 + (-1424)\/(-80))*(6 + -1).\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (37 - 1) + -70 + 71 + -27?\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -37*j + 32*j + 530 = 0. Let f be (-32)\/176 + j\/(-22). Put f, -3, 4, 5 in decreasing order.\nAnswer: 5, 4, -3, f","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 7 divide 38962?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence yyi when three letters picked without replacement from wooytwwxxiytyt.\nAnswer: 1\/364","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -105*n + 109*n = 16. Sort -4, n, -2, 1 in ascending order.\nAnswer: -4, -2, 1, n","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -28*t**4 - 210*t**2 - 86994 wrt t.\nAnswer: -112*t**3 - 420*t","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let l(n) = -2*n. Let r(w) = -38*w + 2. What is l(r(j))?\nAnswer: 76*j - 4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: 35e2 (base 16) to base 11\nAnswer: a400","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -45888 - -46233. What is the highest common factor of d and 3588?\nAnswer: 69","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 1575\/(-175)*(-8)\/(-18).\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 203\/4 + -3029\/60. Let v(i) = i + 3. Let t(r) = r**2 - 4*r - 3. Let z be t(4). Let y be v(z). Is y <= d?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 9982 is divided by 1908.\nAnswer: 442","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Put -5, -1, 0, -4 in increasing order.\nAnswer: -5, -4, -1, 0","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -20300494*j**6 - j**4 - 159073*j**2 - j - 6 wrt j.\nAnswer: -2436059280*j**3 - 24*j","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 35\/4 in -2, 9, 4, -1\/3, -34, -5?\nAnswer: 9","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let k(f) = f**3 + 5*f**2 + f + 5. Let y = -1 + 6. Let u be 2\/y + 81\/(-15). Calculate k(u).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -1\/5? (a) 36\/2635 (b) -3 (c) -5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) -4\/9 (b) 0.3 (c) -3\/8 (d) 0.009\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 2479*i**2*k**3 - 10*i**2*k + 37*i**2 - 2*i*k**2 wrt k?\nAnswer: 14874*i**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.0000871339707 to 7 dps.\nAnswer: 0.0000871","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 275*m + 0*m**3 + 0*m**3 - 44*m - m**3.\nAnswer: -m**3 + 231*m","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -1? (a) 1 (b) 15 (c) 2 (d) 0.4\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let x(o) = o**3 + 11*o**2 - 11*o + 12. Let y be x(-12). Suppose -10*a + 0*a + 520 = y. List the prime factors of a.\nAnswer: 2, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(f) = f + 1. Let h(s) = -7 + s**2 + s - 12*s**2 + 2 - 8 + s**3. Let t be h(11). What is v(t)?\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(w) = -w**3 - 44*w**2 + 48*w + 138. Let h be f(-45). Let j be ((-13)\/h)\/((-2)\/(-216)*-1). What is the highest common divisor of j and 104?\nAnswer: 52","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(s) = -3*s**3 + 12*s**2 - 74*s + 380. Give p(7).\nAnswer: -579","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let r(x) = 2*x**2. Let m(d) = 8*d + 17. Determine r(m(b)).\nAnswer: 128*b**2 + 544*b + 578","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is 1618 less than or equal to 1618?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:28 PM and 1:54 AM?\nAnswer: 446","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let h(w) = -32*w. Let p(d) = -227*d. Calculate p(h(x)).\nAnswer: 7264*x","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -1591\/524 or -2?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__pair_test"},"subset":"dm_maths"} +{"text":"Question: Expand -363*p**4 + 181*p**4 - 1143*p**4 + (-3*p + 3*p - p**2)*(-2*p**2 - 2 + 2) + p**4 + 0*p**4 - 4*p**4.\nAnswer: -1326*p**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of -171, -352, -543, -744, -955?\n\"Answer: -5*q**2 - 166*q","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -14*c - 3*c - 34 = 0. Let t be c\/5 - (8\/(-10))\/2. Solve t*o = 3*a - 4*o - 3, -5*o = -15 for a.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 11*l - 535 = -271. What is the lowest common multiple of 5 and l?\nAnswer: 120","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -47 + 90. What is the units digit of f?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2*f**2 + 420 - 134 - 135 - 151.\nAnswer: -2*f**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 49298.\nAnswer: 2, 157","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (-1)\/(4\/8*-4)*-700. Suppose 4*g - 170 = -678. Let z = g - c. Is z composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) -0.208 (b) -1\/2 (c) 0.102\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 9953 + -9903. What is the lowest common multiple of b and (-4)\/(-3)*(15 + 0)?\nAnswer: 100","meta":{"dup_signals":{},"source":"numbers__lcm_composed_test"},"subset":"dm_maths"} +{"text":"Question: Let t be 30\/(-90) + (-4026)\/(-9). What is the first derivative of -447*b**2 + t*b**2 + 8 - 216*b**3 wrt b?\nAnswer: -648*b**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: -169960 divided by 1\nAnswer: -169960","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 60*g - 47*g - 53*g.\nAnswer: -40*g","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*g = g + 1. Suppose -s = -3 + g. Suppose c = -s*c. Which is bigger: c or 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 352 - 316. Calculate the remainder when t is divided by (-5)\/(-1) + (-36)\/(-12).\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -2b25 (base 12) to base 13.\nAnswer: -23cc","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) 2\/5 (b) -2 (c) -4 (d) 24\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence yyu when three letters picked without replacement from jjdujyjy?\nAnswer: 1\/168","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose n + 0*n = -2. Let l be (-2 + 1)*10\/n. Suppose a = l*w - 10, -2*w + 16 = 5*a - 15. Solve -a*j = -6*j for j.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k be 18*(1 - (-4)\/(-6)). Let m = k + -2. Let s(o) = 2 - 1 - 5*o + o**2 - 3. Give s(m).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 5496902141.\nAnswer: 19, 289310639","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let x(b) be the third derivative of -b**6\/120 - b**5\/12 + b**4\/4 - 5*b**3\/6 - 919*b**2. Calculate x(-6).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -35048 or -35172?\nAnswer: -35172","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence rjjj when four letters picked without replacement from jjjjrjrjjrr.\nAnswer: 7\/66","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.057 times 37?\nAnswer: -2.109","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*w + 44 = y, 0 = 3*y - 4*y + 2*w + 16. Find h, given that 28*h**2 + y*h + 72*h - 24*h**2 + 92 = 0.\nAnswer: -23, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 767495.6l?\nAnswer: 767495600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of w**2 - 4*w**2 + 3*w**4 - 2*w**4 wrt w?\nAnswer: 24*w","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i be -32*(15\/(-20) - 0). Suppose -18*c - 672 = -i*c. What is the units digit of c?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 12359884?\nAnswer: 2, 17, 181763","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -4*-237167.\nAnswer: 948668","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: 41 - 43 - (-4 + 0 + 2)\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let p(z) = -27*z - 106. Determine p(-17).\nAnswer: 353","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is 448 greater than 0?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 27888 divided by 336?\nAnswer: 83","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let q(d) = d**2 - 10*d - 6. What is q(8)?\nAnswer: -22","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let s(c) = -8*c - 2. Let t(b) = -183*b - 228. Let y(p) = 14*p + 17. Let h(f) = 2*t(f) + 27*y(f). What is 5*h(j) + 8*s(j)?\nAnswer: -4*j - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let z(r) = -r**2. Let x be -1*6\/(-24) + 3254\/8. Let y(v) = -180*v + 102*v + 54*v + x*v. What is z(y(q))?\nAnswer: -146689*q**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 27430108 is divided by 1710?\nAnswer: 1708","meta":{"dup_signals":{},"source":"numbers__div_remainder_test"},"subset":"dm_maths"} +{"text":"Question: Factor 250*a**4\/7 - 19300*a**3\/7 + 502920*a**2\/7 - 4580636*a\/7 + 4096766\/7.\nAnswer: 2*(a - 1)*(5*a - 127)**3\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let j(m) = -3770*m - 261. Let i(f) be the second derivative of 29*f**3\/6 + f**2 - f - 664. Determine 261*i(b) + 2*j(b).\nAnswer: 29*b","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let b(y) = 3700*y**3 + 1924*y - 1924. Let l(j) = -2*j**3 - j + 1. Give -4*b(p) - 7696*l(p).\nAnswer: 592*p**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 82.55159 micrograms in milligrams?\nAnswer: 0.08255159","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -2\/7? (a) 0.3 (b) 320 (c) -5.6 (d) 0.4 (e) 1\/5\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is 401674 - 51?\nAnswer: 401623","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-1 + 1 + 2*w)*(w**2 - w**2 - 2*w**2) + 3*w**3 - 13*w**3 + 7*w**3 + 1 - 1 + 2*w**3.\nAnswer: -5*w**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (-6)\/18 + 14\/6. Let b be (-2)\/r - 55\/(-50). Let o = -2 + 1. Is b at most o?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 422004 is divided by 92.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 168793, 337577, 506325, 675019, 843641, 1012173, 1180597, 1348895?\nAnswer: 1517049","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -3*b + 7*b + 3 - 25*b**2 - 149 - 2*b.\nAnswer: -25*b**2 + 2*b - 146","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (-4988)\/(-26) + (-6)\/(-39)*1. Solve 39*i = 7*i + b for i.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (1*sqrt(1900) + sqrt(1900))**2 + 0.\nAnswer: 7600","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: -84a85 (base 15) to base 3\nAnswer: -210101022222","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Convert 0.8003937 seconds to microseconds.\nAnswer: 800393.7","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) -160\/9 (b) -4 (c) 4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let a(i) be the third derivative of i**5\/20 - 18*i**2 + 2. Let x(l) = -l**2. What is x(a(g))?\nAnswer: -9*g**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*u = -3*w, 0 = -2*u + 8*w - 3*w. Let h(b) = -7*b - 23. Let m(l) = -l. Let y(q) = h(q) - 5*m(q). Let d be y(-10). Put 5, d, u in increasing order.\nAnswer: d, u, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 235903090.\nAnswer: 2, 5, 293, 80513","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 553\/79 - 2\/2?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) -0.1 (b) -21\/4 (c) 0.09\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of -15482, -15499, -15516?\n\"Answer: -17*i - 15465","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of -1133, -2256, -3379, -4502, -5625?\n\"Answer: -1123*j - 10","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 84 a factor of 97356?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let s(m) = -2*m**2 + 2*m + 2. Let x(a) = -3*a**3 + 52*a**2 + 53*a - 280. Let l(h) = -5*s(h) - x(h). Factor l(k).\nAnswer: 3*(k - 15)*(k - 2)*(k + 3)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -229*y**3 + 6*y**4 - 9*y**4 - 13*y**2 + 228*y**3 - 2 to the form w*y + v*y**3 + i + z*y**4 + p*y**2 and give p.\nAnswer: -13","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 286 = 2*q + 2*r, 187 = q - r + 42. Let o be (-3)\/9 - q\/(-27). Solve 0*h - o = -5*h for h.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 43010 and 230.\nAnswer: 43010","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose q - 2 = -4*b, -8*b = -11*b - 4*q - 5. Let k(f) = 27*f**3 - 7*f + 6. Calculate the smallest common multiple of k(b) and 18.\nAnswer: 234","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*u - 8 = u. Suppose -u*i + 0*j - 2282 = -2*j, -5*j = -5*i - 2845. Does 26 divide i\/(-18) + (-18)\/(-81)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {l: 5, q: 1, m: 3, o: 1, s: 2}. What is prob of picking 2 s and 1 m?\nAnswer: 3\/220","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Put -5\/6, 0.2, 67691 in increasing order.\nAnswer: -5\/6, 0.2, 67691","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -66.8 - -2.8. Let s = j - -37. Let r = s + 25. Which is the nearest to 0.03? (a) 3\/8 (b) r (c) 5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(u) = -u**3 - 2*u + 5. Determine g(-5).\nAnswer: 140","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -5.15 + 5. Let r be 3 + (4 - 3) + (-3)\/3. Put 0.2, r, x in ascending order.\nAnswer: x, 0.2, r","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(q) be the first derivative of -q**3 + 2. Let i(m) be the first derivative of -m**2 + 6. Calculate c(i(p)).\nAnswer: -12*p**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Express (-443 - 83*k + 113*k**2 + 86*k + 445)*(k - 5*k + 3*k) as i*k**2 + g + a*k + z*k**3 and give a.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Round 1795900 to the nearest 100000.\nAnswer: 1800000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 41\/432 and 101\/240?\nAnswer: 2160","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 0\/(-27*(-114)\/1539)?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -44850 or -47234?\nAnswer: -47234","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let t(i) = -17*i - 313. Let w be t(-19). Suppose -12 = -o + 2*z, -3*z - 5 - w = 0. Solve -18 = 4*d + o*p - p, 3*d + 10 = p for d.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(h) = 75*h - 679. Let o be v(9). Sort -3, -171, o, 5 in decreasing order.\nAnswer: 5, -3, o, -171","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(m) be the third derivative of 0*m + 0*m**3 + 1\/48*m**4 + 2*m**2 - 1\/105*m**7 + 0 + 1\/30*m**5 - 1\/240*m**6. Let o(p) = 0. What is p?\nAnswer: -1, -1\/4, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(m) = -79*m + 530. Let a be t(6). What is the highest common factor of 2352 and a?\nAnswer: 56","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 108287527 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 6 - -2. Let u(f) = -f**3 + 7*f**2 + 8*f - 5. Let t be u(k). Let a = t + 8. Solve -5 = -a*y + 2*y + 2*p, 2 = -2*y - 2*p for y.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 224576 and 5808.\nAnswer: 673728","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is s in -2*s**4\/19 - 66*s**3\/19 - 184*s**2\/19 + 2904*s\/19 + 6048\/19 = 0?\nAnswer: -28, -9, -2, 6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 15 divided by -8.\nAnswer: -15\/8","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let c(m) = -m**3 - m**2 + 9*m + 1. Let d be c(-4). Find the second derivative of 8*x - 12*x**2 - 7*x**2 - 18*x - d*x wrt x.\nAnswer: -38","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: 3107\/5720*11 + 36\/(-6) + 0\nAnswer: -1\/40","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1.315 rounded to 2 dps?\nAnswer: 1.32","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth smallest value in -2, 11\/3, 4, -3\/5, 3\/131?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -26 - -20. What is the common denominator of (-2 - 10\/g)*380\/16 and 29\/30?\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 520*h**4*s + 3*h**3*s**2 - 3*h**3 - 20*h*s**2 - 668*h*s wrt h.\nAnswer: 6240*h**2*s + 18*h*s**2 - 18*h","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 36380618 is divided by 99.\nAnswer: 98","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 6322 and 7303?\nAnswer: 109","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*m - 4*w + 39412 = 0, -3*m + w = 4034 - 33593. What are the prime factors of m?\nAnswer: 59, 167","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 12603, 0, 4, -3, 1 in increasing order.\nAnswer: -3, 0, 1, 4, 12603","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let y(s) = 40*s. Let m(d) = 2*d + 229. Determine m(y(j)).\nAnswer: 80*j + 229","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (4\/(-5))\/(8\/(-20)). Solve 0 = 4*f + 5*q - 6, 0 = h*q - 3*q + 2 for f.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is -12200 + 120?\nAnswer: -12010","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 4\/(-6) - (-92)\/12.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -64*n + 50*n = 28 for n.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: -2174 divided by -4\nAnswer: 1087\/2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is -267.63591 rounded to the nearest integer?\nAnswer: -268","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let t be 4 - (-1 - -2)*13\/(-13). Suppose -2*i = -2 - 8. Suppose i = h, -3*y = -t*y + 3*h + 231. What are the prime factors of y?\nAnswer: 3, 41","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -61 - -90. Suppose -4*t = -2*l - 44, 3*t - 36 = 7*l - 4*l. Let k = p - t. Is 13 a factor of k?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 158588363*b**6 - 2*b**3*k*o - 2*b**2*k*o - 41433*b**2*o + 47 wrt b?\nAnswer: 19030603560*b**3 - 12*k*o","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let w(x) = -46 + x**3 - 14*x + 15 - x + 12*x**2. What is w(-13)?\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from jsssjjjhhjjj. Give prob of sequence shjh.\nAnswer: 7\/1980","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let x(z) = 2*z. Let l(y) = -15427*y. Calculate l(x(d)).\nAnswer: -30854*d","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1 = 3*z - 4*c + 11, z = -5*c + 15 for z.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -3? (a) -3 (b) 4\/3 (c) 0.31\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) 860 (b) -0.3 (c) -0.1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is -1431 + -104?\nAnswer: -2040","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let q(f) = 4*f. Let b(o) be the first derivative of -40*o**3 - 84. What is q(b(x))?\nAnswer: -480*x**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let t(o) = -o + 5. Let z be t(7). Let j be 90\/(-35) - z\/(-4)*-6. Solve -6\/7*h**2 + 0*h**3 + 3\/7 + j*h**4 + 0*h = 0.\nAnswer: -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-2)\/(6\/(-5)*(-10)\/6).\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let h(s) = -s**3 - 12*s**2 - 23*s - 36. Let m be h(-19). What is the highest common divisor of 336 and m?\nAnswer: 48","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -17 by 8.\nAnswer: -17\/8","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of 34028, 34251, 34474, 34697, 34920, 35143?\n\"Answer: 223*s + 33805","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is -19.7217 times -1158?\nAnswer: 22837.7286","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 7886 is divided by 190.\nAnswer: 96","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 37820 to the power of 1\/2, to the nearest integer?\nAnswer: 194","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 223*j**2 - 392*j - 2*j - 440*j + 5*j wrt j?\nAnswer: 446","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (1*(-207)\/(-12))\/(((-250)\/(-75))\/(48\/18))?\nAnswer: 69\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Does 656 divide 1074528?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 b and 2 w when four letters picked without replacement from {b: 7, w: 7}?\nAnswer: 63\/143","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is 10 - 264653?\nAnswer: -264643","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -s - 5*q = 0, -5*q = s - 2*q. Let d(a) = -a**3 - 16*a**2 - 27*a + 9. Let r be d(-14). Sort 4, r, s in increasing order.\nAnswer: r, s, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*h - 13 = -4*z, -3*h = -2*z + z + 10. Solve -r = -4*f - 13, 4*f = 3*r + z - 16 for f.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -79 - -113. Let w = h + -34.27. Let a = w + -26.63. Round a to the nearest integer.\nAnswer: -27","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -52\/14829 equal to 1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of 104846, 209702, 314558, 419414?\n\"Answer: 104856*w - 10","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is -1 - -10102?\nAnswer: 10101","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose h = 4*t + 12, 0 = 3*h - 5*t + 7*t - 78. Calculate the remainder when h is divided by 10.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i be 15\/182*110\/(-99). Which is bigger: -1 or i?\nAnswer: i","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 9311 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve 8*t + 6 = 14*t for t.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 0.189 - 0.749. Let l = 0.86 + p. Let q = 4.92 - -0.08. What is the smallest value in q, 3, -1\/6, l?\nAnswer: -1\/6","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 2 + -5. Let f be (1*1\/2)\/2. Let o = 0 - -0.5. Which is the smallest value? (a) f (b) o (c) w\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 1 + -3 + 4 + sqrt(11).\nAnswer: 2 + sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is 14 a factor of 1568?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let z(a) be the second derivative of -a**4\/12 - 8*a. Let q(t) be the first derivative of 9*t**2\/2 + 2*t + 15510. Determine q(z(f)).\nAnswer: -9*f**2 + 2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Factor -16670*k**2 + 534205*k - 24480.\nAnswer: -5*(k - 32)*(3334*k - 153)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve -22*d + 13 = 9*d - 30*d for d.\nAnswer: 13","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (1*(-24)\/42)\/(20\/(-14)).\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(c) = -76*c**3 + c**2 + 3*c + 2. What are the prime factors of b(-1)?\nAnswer: 2, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*q - 38400 - 47249 + 1873. What is the hundreds digit of q?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 60987*o**4 - 143210*o wrt o.\nAnswer: 731844*o**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1367 divided by 4.\nAnswer: 1367\/4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let v be 312 - 33 - (-2 + -1). What is the greatest common factor of v and 752?\nAnswer: 94","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 121333 (base 6) to base 5.\nAnswer: 320323","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -980, -7956, -19584, -35864, -56796, -82380?\nAnswer: -112616","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 100 and 243048?\nAnswer: 6076200","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is 7\/8 less than 3\/20?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 12\/25 of a microgram in nanograms?\nAnswer: 480","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:32 AM and 3:33 AM?\nAnswer: 121","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.00000110573206 to six dps.\nAnswer: -0.000001","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*g + 5*h = -53 + 12, g - 171 = 24*h for g.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the seventh smallest value in 43, 0.2, -115, 0.4, 0, -2, -0.045?\nAnswer: 43","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: 107044645 divided by -1466365\nAnswer: -73","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let b(y) be the second derivative of 21*y**4\/4 + 70*y**3\/3 - y - 77. Find the second derivative of b(u) wrt u.\nAnswer: 126","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 391 + -387 - (-13 + 2 + -5 + 0).\nAnswer: 20","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 993083669?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is 653403101 a multiple of 10?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 625 minutes before 4:06 AM?\nAnswer: 5:41 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -582 + 1093. What are the prime factors of j?\nAnswer: 7, 73","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -c**5*m - 1754*c**3*m + 18*c**2*m + 61*c**2 - 2*c*m - 2*m wrt c.\nAnswer: -60*c**2*m - 10524*m","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -65\/4 - -16. Let d = -45424\/29 - -1566. Let j = 199\/493 + d. What is the smallest value in 1\/7, j, p?\nAnswer: p","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 721847573 and 10058.\nAnswer: 5029","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ff when two letters picked without replacement from raytycfc.\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*j - 13 + 5. Let u = -237\/2 - -122. Suppose -u*a**3 - 1\/2*a - 5\/2*a**j - 3\/2*a**4 + 0 = 0. What is a?\nAnswer: -1, -1\/3, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) 101 (b) -2\/7 (c) 2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let u(x) be the first derivative of -1\/2*x**4 + x**3 + 18 - 7*x**2 + 0*x. Find the second derivative of u(o) wrt o.\nAnswer: -12*o + 6","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_test"},"subset":"dm_maths"} +{"text":"Question: Determine b, given that 4*b**2 + 5672*b + 1298388 = 0.\nAnswer: -1131, -287","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 925?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let a(m) = m**2 + 1493722*m + 11949702. Give a(-8).\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -17.54 + 19. Round a to one decimal place.\nAnswer: 1.5","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -1*-187373097.\nAnswer: 187373097","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is 3723883 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-1 - 2) + (111 - 215) + 118.\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_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: Simplify ((-2 + -5*(-4 + (2*((sqrt(1539) - sqrt(1539)*2) + sqrt(1539)) - sqrt(1539) - sqrt(1539)) + -3) + 2)*6)**2.\nAnswer: 226800*sqrt(19) + 5584500","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 24*k - 26*k = -230. What are the prime factors of k?\nAnswer: 5, 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(y) = -y**3 - y**2 + y. Suppose 0*p + 4*p = -24. Let g(n) be the first derivative of -n**4 - 7*n**3\/3 + 3*n**2 + 2*n - 11. What is p*c(u) + g(u)?\nAnswer: 2*u**3 - u**2 + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Sort 4, -1\/3, -2, 57 in increasing order.\nAnswer: -2, -1\/3, 4, 57","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: How many nanograms are there in fourty-three quarters of a microgram?\nAnswer: 10750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {d: 3, w: 6, f: 1, r: 1, h: 8}. Give prob of picking 1 r, 1 h, and 1 f.\nAnswer: 8\/969","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 55606956.\nAnswer: 2, 3, 4633913","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let j be ((-1)\/1 - 1) + ((-184)\/(-16) - 11). Which is the nearest to -1? (a) j (b) -4.438 (c) 2\/11\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in y**3 + 2*y + y + 8*y.\nAnswer: y**3 + 11*y","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 13112868?\nAnswer: 2, 3, 59, 18521","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let i(g) = g**3 + 7*g**2 - 9*g + 6. Let p be i(-8). What is the highest common factor of p and 98?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 329952599 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*h = -h. Suppose 2*n - 7 = 5*g + 20, -5*n - 5*g + 15 = h. Suppose 3*b + s - 20 = 0, 4*s - n - 4 = -2*b. Solve 3*o - b*o = -8 for o.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -10*w + 13*w - 3*h = 21, w - 4*h = 19 for w.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 31889 and 3052647.\nAnswer: 33579117","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 19627?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let x(c) = -3*c**2 + 30*c - 11. Let k(h) = 2*h**2 - 15*h + 6. Determine -11*k(z) - 6*x(z).\nAnswer: -4*z**2 - 15*z","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -d - 4*n = 2*d - 41, 5*n - 18 = d. Is 55 a factor of (-14)\/d + (-1)\/(-1) + 111?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -16*b = -10*b + 402. Let r = -64 - b. Suppose 2*d = -y + 329, -r*d = -5*y + y + 1327. Is y composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b be -1 + ((-30)\/(-45))\/((-2)\/75). Let v be (-4)\/b + 63\/13. Let k(y) = 4*y**2 + 36*y + 5. Is k(v) a multiple of 19?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (4\/70)\/((-16)\/(-240)).\nAnswer: 6\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Find z such that 90*z**5 + 327*z**4 - 2112*z**3 - 8274*z**2 - 3450*z + 2475 = 0.\nAnswer: -5, -3, -1, 11\/30, 5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let n be 6\/15 - 552\/(-5270). Let d be (-32)\/6*(-18)\/248. Let u = d - n. Is 0 at most u?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in -259974, 1.8, -0.52?\nAnswer: -259974","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((-1 + 2*o**2 + 1)*(o**3 + 0*o**3 + 0*o**3) + 3*o - o**5 - 3*o + 5*o**2 - 5*o**2 - 4*o**5 - o**5 + 2*o**5 + o**5)*(1 + 4 - 3).\nAnswer: -2*o**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is -3 - 168003?\nAnswer: -168006","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 10601107.\nAnswer: 11, 19, 50723","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*t + 120 = -2*m - 5, 3*m = -7*t + 175. Sort t, 0.1, 95.\nAnswer: 0.1, t, 95","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 39732787 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: 1\/(((-11)\/(220\/8))\/(-2))\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let z(b) = 36*b**2 - 5. Let c(v) = v**2. Give c(z(y)).\nAnswer: 1296*y**4 - 360*y**2 + 25","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 703 minutes after 8:21 PM?\nAnswer: 8:04 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 111400308 to the power of 1\/10, to the nearest integer?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -77*(-11)\/(-77) - -30?\nAnswer: 19","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from hhhhhhhhhhhhhhhhhy. What is prob of picking 3 h?\nAnswer: 5\/6","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 501340?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Determine g, given that -55*g**2 - 675*g - 1250 = 0.\nAnswer: -10, -25\/11","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -97\/4520 and 73\/120?\nAnswer: 13560","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) -0.3 (b) -4 (c) 70.23 (d) 0.4\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -384*i**2 + 347*i**2 + 1768*i**2 + 2146*i**2 - 853*i**2 + 1044*i**2.\nAnswer: 4068*i**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -3 - (5 + -4 + -1).\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (-4)\/(-38) + 2681280084\/(-798). What is h rounded to the nearest one million?\nAnswer: -3000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -119117*p**3 - 65*p - 26297930 wrt p?\nAnswer: -357351*p**2 - 65","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -336315.3 and 0.19.\nAnswer: -63899.907","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 528 minutes before 10:40 AM?\nAnswer: 1:52 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is 406 a multiple of 14?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 1? (a) -0.4 (b) -1153 (c) -21\/5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from rhuvhvruupprhpun. Give prob of picking 2 u and 1 v.\nAnswer: 3\/140","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let f(i) be the third derivative of -i**6\/240 - 7*i**5\/10 + i**4\/48 + 7*i**3 - 1122*i**2. Factor f(n).\nAnswer: -(n - 1)*(n + 1)*(n + 84)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_test"},"subset":"dm_maths"} +{"text":"Question: Solve -32*n + 32*n + d + d = 5*n - 2, 0 = -8*n + 4*d for n.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 11395 + -11387. Suppose 2*h - 3 = 3. Sort -3, q, h in ascending order.\nAnswer: -3, h, q","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:32 PM and 3:58 AM?\nAnswer: 266","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) -719 (b) -2\/3 (c) -0.5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*t - 9 = -t. Let i be 200\/(-12) + (-6)\/t. Let s(j) = j**3 + 17*j**2 + 13*j - 1. What is the tens digit of s(i)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*d + 11349 = -v, -4*v = 4*d - 5*d + 2826. Let r = 90106 + -371837\/4. Let n = r + d. Find the common denominator of n and -13\/7.\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-3)\/((375\/1000)\/((-2)\/((-4)\/5)))\nAnswer: -20","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 121 minutes before 7:33 AM?\nAnswer: 5:32 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let f be 2\/(-4)*148\/(-6). Let h = f - 12. Let q be 11\/(-22)*(-2 + 2). Is h greater than q?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-590)\/350 - (2496\/65)\/(-16).\nAnswer: 5\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(q) = 8*q - 2. Let b(m) = -28*m + 1 + 66*m - 24*m - 21*m. Determine -6*b(r) - 5*u(r).\nAnswer: 2*r + 4","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let b(p) = 22*p + 388. Let i(s) = -40*s - 777. What is -11*b(n) - 6*i(n)?\nAnswer: -2*n + 394","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 14.69611 millennia in centuries?\nAnswer: 146.9611","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (v*v**(-1\/3)*v\/(v*v**(-2\/9)*v))**(-27)\/(((v\/(v**(-2\/7)\/v))\/v)\/(v*((v**(-6)*v)\/v)\/v*v)*(v\/(v*v**5))\/v**5) assuming v is positive.\nAnswer: v**(47\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose u - 3*p - 30 = 0, -5*u + 101 = 4*p + 8. List the prime factors of u.\nAnswer: 3, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(j) = j**3 - 8*j**2 - 8*j - 9. Calculate k(9).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.402 less than -5?\nAnswer: -5.402","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from ozhivho. What is prob of sequence io?\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence kvh when three letters picked without replacement from {p: 1, m: 2, v: 1, h: 1, k: 2}?\nAnswer: 1\/105","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 10.5 - 10. Suppose -o + 14 + 18 = -3*k, 2*k = -3*o - 14. Let y be (15\/k)\/(-3) + (0 - 0). What is the closest to y in 2\/5, -5, g?\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 124320 is divided by 5903?\nAnswer: 357","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is 22890908 a multiple of 173?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.03817 rounded to three dps?\nAnswer: -0.038","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is 234457 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(78) + sqrt(78)*2)*-6)\/(sqrt(6) + -2*sqrt(294)).\nAnswer: 18*sqrt(13)\/13","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -330 + 330.3. Suppose -o = y - 6*o + 70, y + 55 = 2*o. Let v be 1\/(-6)*y\/10. What is the third smallest value in -0.3, j, v?\nAnswer: v","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 9034645 a multiple of 3714?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is -8 + (0 - 1 - 3) + 8?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((o*o*o*o\/(o**(2\/7)\/o)*o)\/o)**(-15)*(o*o\/o**2)\/(o\/o**(-3)) assuming o is positive.\nAnswer: o**(-523\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -717814 + 717814 + 19*r**2 - 5*r + 0*r.\nAnswer: 19*r**2 - 5*r","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in n - 1366 + 1366.\nAnswer: n","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is 8a1 + -1?\nAnswer: 8a0","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*u + 15 = 3*i, 7*u - 4 = 3*u - 4*i. Let k(l) = -10*l - 5*l + 12*l. Determine k(u).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 2*(sqrt(512))**2*4 + (5*sqrt(30)\/sqrt(3))\/(sqrt(15)\/sqrt(3)*5).\nAnswer: sqrt(2) + 4096","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*q = 2*q - 10. Suppose v = -0*v + q. Factor -1 - r**5 + 0*r**v + 2*r**2 - r - r**4 + 2*r**3 + 0.\nAnswer: -(r - 1)**2*(r + 1)**3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from eeeenyyeerueer. What is prob of picking 1 n and 2 e?\nAnswer: 1\/13","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 3*m**2*p + 6*m**2 + 3*m*p + 1303*m + 1704*p wrt p.\nAnswer: 3*m**2 + 3*m + 1704","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 9*j - 1111317 = 4708344. Let t = 1246629 - j. Round t to the nearest one hundred thousand.\nAnswer: 600000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(385)\/(sqrt(11) - (sqrt(539) - (sqrt(539) - 2*sqrt(539)))))\/((sqrt(120)\/sqrt(3)*-6 + sqrt(40))\/sqrt(8)).\nAnswer: sqrt(7)\/65","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -16 = 18*f - 22*f. Solve 5 = -f*j - 11 for j.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -434, -1820, -4144, -7400, -11582?\nAnswer: -16684","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 7*y - 103 = 144*m - 138*m, 12*m = 3*y + y - 2*y - 50 for m.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the tenth root of 1353 to the nearest integer?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -o**3 - 751 + 5*o**3 - 725 + o**3 + 1476.\nAnswer: 5*o**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*c + 2*s - 24, c + 2*c = 5*s - 33. Let y be -4 + -1 + 6\/c. What is the tens digit of (-2)\/(-4) - 69\/y?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is z in -2*z**5 + 2675*z**4 - 1329*z**3 - 10700*z**2 + 5348*z = 0?\nAnswer: -2, 0, 1\/2, 2, 1337","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let g(y) = -3*y - 11. Let n be g(-5). Let v(r) = n*r**2 - 6 + 5 - r - 2*r**2 - 3*r**2 - r**3. What is v(0)?\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine o so that -18 + 8*o + 3*o**2 + 24 - 17*o = 0.\nAnswer: 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1883 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 19131 - 18561. Calculate the remainder when j is divided by 11.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((z**(-2\/3))**(-35)*(z**(2\/5)\/z)**(-39))\/((z**2)**39\/(z\/(z*z**1))**(-5\/4)) assuming z is positive.\nAnswer: z**(-1801\/60)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) -0.814 (b) 1897 (c) 5 (d) -0.02\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there in 381.2058 nanoseconds?\nAnswer: 0.00000000635343","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:28 AM and 1:10 PM?\nAnswer: 582","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*f**2 + 6670*f + 625680 = 0.\nAnswer: -88, 1422","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Sort -55, 92, -33.\nAnswer: -55, -33, 92","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -2 + 2. Let s = -4.755 - 0.245. Put y, s, -4 in descending order.\nAnswer: y, -4, s","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -l**3*p**2 + 4*l**3*p*s + l**2*p*s - 41*l*p**2*s + 2*l*p + 6*l*s - p**5*s wrt p?\nAnswer: -2*l**3 - 82*l*s - 20*p**3*s","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let a(n) be the third derivative of n**5\/60 - n**4\/4 + n**3 - n**2. Suppose -17 = -5*x - 3*r, -2*r + 3*r = 5*x - 21. What is a(x)?\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -9176 = 941*p + 18748 + 22890 for p.\nAnswer: -54","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between 0.640929078 and -39?\nAnswer: 39.640929078","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: 333 (base 12) to base 14\nAnswer: 259","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let j(p) = p**3 - 9*p**2 + 4. Let o be j(9). Suppose -3*v = 6*m - m + 19, -2*v + 24 = -o*m. Let z = 4 + -5. Sort 4, z, m in descending order.\nAnswer: 4, z, m","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose x - 3*x - 4 = 0. Suppose -5*i + 0*i - 3 = -3*k, 0 = k - 5*i + 9. Let w be k*x\/56 + (-2)\/7. What is the smallest value in 2, w, -0.7?\nAnswer: -0.7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_test"},"subset":"dm_maths"} +{"text":"Question: Let s = 67 + -42. Suppose 2*k = -9 + s. Solve 0 = -7*a + 3*a - k for a.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 517277 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is (65\/195 + 28\/(-30))*(-2)\/(-3)?\nAnswer: -2\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -1 in 3, -2, 0.2, -6234, 0.3?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*p**2\/13 + 85556*p\/13 + 914978642\/13.\nAnswer: 2*(p + 21389)**2\/13","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Expand (1 - 3 + 3)*(10708*k - 360 + 111 + 108 + 141).\nAnswer: 10708*k","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*m + 8, -2*z - 7 = z - 2*m. Let h be (-3)\/6*(-5 - z). Factor -3*r**2 - 2*r**3 - 3*r**h - r**2 - 10*r - 4 - r**2.\nAnswer: -2*(r + 1)**2*(r + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -42090 rounded to the nearest 10000?\nAnswer: -40000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*r - 111 = -387. Calculate the remainder when r is divided by 20.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -163*h + 27 = -154*h for h.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 438, 1816, 4096, 7266, 11314, 16228, 21996, 28606?\nAnswer: 36046","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 8532 + -8529. Solve -6*q - 3*k = -7*q - 7, 0 = -5*q - r*k + 37 for q.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1.4*-708482.\nAnswer: -991874.8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Convert 6a (base 12) to base 11.\nAnswer: 75","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let b(c) = -c**2 - 677*c - 30812. Determine b(-49).\nAnswer: -40","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) -2\/369 (b) -18\/7 (c) 205 (d) 0.1 (e) -20\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is 47434615 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let a(b) = 178593*b**2. Let j(q) = -2461*q. What is a(j(h))?\nAnswer: 1081652254953*h**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Does 80 divide 330527?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 28394 is divided by 715?\nAnswer: 509","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let g(o) be the first derivative of o**8\/5880 + o**7\/980 - o**6\/420 - o**5\/60 + o**4\/14 - 7*o**3 + 12. Let w(x) be the third derivative of g(x). Solve w(j) = 0.\nAnswer: -3, -2, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: -3363 divided by -580\nAnswer: 3363\/580","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 4 and 1972.\nAnswer: 1972","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let y(i) = 3*i + 21. Let k be y(-8). Let o be 10 - 7 - (k + 3). Sort 17, -4, o, 0.\nAnswer: -4, 0, o, 17","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(i) = -11*i**2 - 3*i + 37. Let z(x) = -5*x**2 - 2*x + 18. Let f(r) = -6*m(r) + 13*z(r). What is f(8)?\nAnswer: 12","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in -0.4, 4, -1065, 0.1, 0.14?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -69 - -113. Is 4 a factor of i?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 30725.\nAnswer: 5, 1229","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:14 AM and 7:09 PM?\nAnswer: 535","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let h(l) = -37*l - 658. Give h(-22).\nAnswer: 156","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let r(q) = -q**3 + 54*q**2 + 37*q + 312. Calculate r(55).\nAnswer: -678","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is -1\/7388 greater than or equal to -1?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 3 or 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Put 4, 3, 5, -16, 73, -3 in increasing order.\nAnswer: -16, -3, 3, 4, 5, 73","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {f: 5, h: 3, q: 2}. Give prob of sequence qfqf.\nAnswer: 1\/126","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -3444811\/13 or -264986?\nAnswer: -3444811\/13","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve 14*x + 3 = 3 for x.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 656568 and 829.\nAnswer: 829","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is 8803 - 440?\nAnswer: 8353","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 3520544 is divided by 32298.\nAnswer: 62","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (-2)\/4*(-3 - 105). Suppose -3*d - 5*s + 29 - 6 = 0, 5*s = 4*d - a. What is the remainder when 32 is divided by d?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*y - 3*j + 7*j = 11, -2*y - j = -4. Let b(f) = f**2. Let l(n) = -462*n**2 - n**3 - 453*n**2 - 457*n**2 + 1378*n**2 - 3 + 4. What is y*l(o) - 6*b(o)?\nAnswer: -o**3 + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose w + 3*u = -14, 2*u - 2 = 4*w - 16. Factor -32*h - 4*h**4 + w + 169*h**3 + 12*h**2 + 15 - 161*h**3.\nAnswer: -4*(h - 2)*(h - 1)**2*(h + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -39 + 5*r**4 + 39 + (38 - 56 - 40)*(-r**4 + r**4 + r**4).\nAnswer: -53*r**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let l(q) = q**3 + q**2 - 7*q + 16. What is the remainder when l(5) is divided by 36?\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -13334998.18 to the nearest 1000.\nAnswer: -13335000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((c**(-8)\/c*c)\/(c\/c**7)*(c**(-2\/23)*c)\/c**(2\/11))\/((c**(2\/3))**2*c*c**(-2\/13)\/c*c*(c\/(((c**(1\/2)*c)\/c)\/c))\/c) assuming c is positive.\nAnswer: c**(-77915\/19734)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Expand (335*l + 202*l - 88*l - 3*l**2 + (4 - 4 - 4*l)*(5*l - 3*l + 2*l))*(-3 + 4 + 1) - l**2 - 2*l + 2*l.\nAnswer: -39*l**2 + 898*l","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 1152?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 4182137?\nAnswer: 43, 97259","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0? (a) 0.14 (b) -1\/6 (c) 0.3 (d) -0.109\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let s(o) = -o**3 - 16*o**2 - o - 14. Let l be s(-16). Let w be ((-9)\/(-4) - l)*2. Which is the smallest value? (a) 3 (b) w (c) -0.2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -61\/263192 and 26\/5?\nAnswer: 1315960","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (0*x**2 + x**3 + 0*x**2)*(-30*x - 145 + 145) to z*x**3 + k*x**4 + c + m*x**2 + i*x and give k.\nAnswer: -30","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (144\/240)\/(2\/4). Let x be (3 + -4)*-3 - 1. Factor a*z - 2*z**x + 4\/5.\nAnswer: -2*(z - 1)*(5*z + 2)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -3 - 1331*w + 66*w - 578*w + 4 to the form s + f*w and give s.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Does 25 divide 53816775?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (8 - (4 + -2)) + -1. Let r = 73 + -71. Sort r, -7, w in decreasing order.\nAnswer: w, r, -7","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1, -2, 11, 1\/68 in increasing order.\nAnswer: -2, -1, 1\/68, 11","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Does 22 divide 508?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Do 14 and -133 have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 41 + -17. Suppose 6*s = 3*s + t. Suppose -1 = -z + s. Is z composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-64)\/(31 + -23) - 1\/1?\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) 0.4 (b) -2 (c) 4 (d) -3 (e) -29 (f) 5\/4\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: (-116)\/2320*((-2)\/2)\/(18\/(-36))\nAnswer: -1\/10","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-6)\/10)\/(8*(-702)\/2080).\nAnswer: 2\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (-4)\/(-28) + 167\/7. Let a = 45 - b. Solve 0 = -4*h - 0*v - 3*v + 23, 4*h + v - a = 0 for h.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(v) = 29*v**4 - 6*v**2. Let f(d) = -5*d**2 - 2*d**2 + 297*d**4 - 267*d**4. Let s(g) = 5*f(g) - 6*r(g). Find the third derivative of s(z) wrt z.\nAnswer: -576*z","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find z, given that 2*z**4\/11 - 2098*z**3\/11 - 1043650*z**2\/11 + 1045746*z\/11 = 0.\nAnswer: -369, 0, 1, 1417","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of -444, -463, -502, -567, -664, -799, -978?\n\"Answer: -r**3 - 4*r**2 - 439","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) -3\/44 (b) -2 (c) -278 (d) 2 (e) -0.4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -4314*v**2 + 117*v - 1 wrt v.\nAnswer: -8628","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 1 or -2?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let l(v) = v - 3. Let i(z) = z**2 + 10*z. Let p(a) = -15*a. Let u(r) = 3*i(r) + 2*p(r). Determine l(u(o)).\nAnswer: 3*o**2 - 3","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from rrrrrrrbbbr. What is prob of picking 3 r?\nAnswer: 56\/165","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-65)\/(-105) + 2*(-2)\/14?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is 2113109 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of -27029, -26848, -26545, -26120, -25573, -24904?\n\"Answer: 61*f**2 - 2*f - 27088","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 17342333 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -0.1 in -3, 2, 36\/47, -1, 1?\nAnswer: 36\/47","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.027083791 rounded to five dps?\nAnswer: 0.02708","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 0 or 11\/17911888?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 265 minutes after 8:14 PM?\nAnswer: 12:39 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is 246 - -2763?\nAnswer: 3231","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -9 - -11. Suppose 10 = -o*m + 2*h - 4*h, h + 5 = m. Let j(f) = -2*f. Let p be j(m). Which is the closest to p? (a) 1\/2 (b) 0.4 (c) 0.1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2084*z + 2047*z + 1568*z.\nAnswer: 5699*z","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (948\/(-28))\/(-3) - (-5)\/35. Let o = h + -591\/56. Find the common denominator of o and 35\/104.\nAnswer: 104","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*d = 5*n + 25, 2*n - 11 - 5 = 4*d. Let b = -15 - -17. Is -3*((-1635)\/(-18))\/d*b a multiple of 49?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -6.02 - -0.02. Let k = v - -5.9. Sort -5, k, 2.\nAnswer: -5, k, 2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*n - n = 6. Let c be 2\/5 - (-13)\/5. Solve -n*f - 6 = i, 2*f + 2 = -c*i + 4*f for i.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 270029 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*w - 1 = 15, 105*w - 42 = 2*f + 101*w for f.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let u(k) = k**3 - 13*k**2 + 14*k - 18. Let z be 1*4 + (1 - 5). Suppose -2*d + 6*d - 4*n - 32 = z, -n + 52 = 4*d. Determine u(d).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -0.1 - -1.1. Let w = 1.2 + -8.1. Let l = w - -0.9. Is l bigger than r?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(p) = -71*p**2 + 4*p - 1. Let i be v(2). Let f = 549 + i. What is the hundreds digit of f?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (c\/(c*c**(2\/11))*c)\/(c\/c**(3\/7)*c)*c**(-2\/15)\/c*c*c**6 assuming c is positive.\nAnswer: c**(5906\/1155)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let w(m) = 2*m**2 - m - 1. Let n be w(-2). Suppose 2 = -4*v + 10. Suppose 3*k = 3*g, k + 3*g - v = 2*k. What is the highest common factor of k and n?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -29*k**2 + 704 - 25*k**2 - 36*k**2 - 28*k**2 + 117*k**2 to v*k**2 + q*k + p and give v.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Put 0, 0.2, 3, -2\/9, -34.12 in decreasing order.\nAnswer: 3, 0.2, 0, -2\/9, -34.12","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*f - 4*b + 4 = -f, 3*b - 11 = -f. Let r(q) = -117*q**2 + 232*q**f - 114*q**2. Let m(c) = -51*c - 1. Determine r(m(y)).\nAnswer: 2601*y**2 + 102*y + 1","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve -s + 2*s - l = -6, s = 4*l - 21 for s.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(432) - -2*sqrt(432))*2 + -1)**2*-5.\nAnswer: -77765 + 720*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 8930486?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -753305 or -31\/7?\nAnswer: -31\/7","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Product of 0.3 and 944060.8.\nAnswer: 283218.24","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let o be ((-6)\/12)\/(1\/2). Sort -0.4, -2\/9, o in increasing order.\nAnswer: o, -0.4, -2\/9","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 35, 51, 83, 137, 219, 335, 491?\nAnswer: 693","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3*r - 6*r + r)*(4*r - 3 + 3 + 3*r - 4*r + 0*r + (0 - 2 + 1)*(-r + r - 2*r) + 2*r - 5*r + 5*r - 4*r + 2*r + 0*r + 67*r - 77*r - 95*r).\nAnswer: 200*r**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -61.58 - -53.617. Let n = j + -0.037. Let m be ((-1)\/(-35))\/(-1) + 24\/(-60). Which is the closest to 1? (a) n (b) 0.5 (c) m\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: -2 - (-2 + 5 + -1)\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (o**(-6)*(o\/o**(-7))\/o*o*o)\/((o\/(o\/(o**(-3\/14)\/o)))\/(o\/(o*o**(-15)))) assuming o is positive.\nAnswer: o**(269\/14)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is 576 a multiple of 4?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let x(l) = l**2 - l + 15. Suppose 5*y = -0*r - 2*r + 5, 4 = 4*y. Let s be x(r). Suppose -3*q - s = -8*q. What is the units digit of q?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 5678 to the power of 1\/4, to the nearest integer?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -888476498\/867537 + 259979\/254. Let v = 4\/621 + c. Let i = -55325\/8 - -6907. Find the common denominator of i and v.\nAnswer: 88","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 295051378*c**6 - 3*c**2 - 2317109 wrt c.\nAnswer: 35406165360*c**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:40 PM and 3:35 AM?\nAnswer: 715","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is 13 a factor of 274842219?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: -1535443 (base 6) to base 13\nAnswer: -32370","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 3291220 is divided by 106167?\nAnswer: 43","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is -14 - 688aa?\nAnswer: -68902","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 10 and 153835.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let v be 7\/2 + (-1)\/2. Suppose 13 = v*k - 23. Suppose -f + 0*y + 3*y + 81 = 0, 3*y + 369 = 4*f. Calculate the highest common factor of f and k.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {u: 2, d: 1, r: 1, x: 1}. What is prob of sequence dr?\nAnswer: 1\/20","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (k*k\/k**(-3))\/k*(k\/k**11)\/k*((k*k**(-3\/5)\/k)\/k)**(-1\/3) assuming k is positive.\nAnswer: k**(-97\/15)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*j + 5*d = -9, -d = d - 6. Suppose 0 = h - 2*w + j*w + 6, -5*h = 4*w - 18. Let u be -2 + 21\/h - 1. Is u at most as big as 4?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(i) = 16*i. Let f(r) = 2*r**2 + 0*r**2 - r**2 - 2*r**2. Determine f(m(w)).\nAnswer: -256*w**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 2309000 rounded to the nearest 100000?\nAnswer: 2300000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 10383?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 p when two letters picked without replacement from {l: 1, w: 4, p: 4, b: 2, m: 5}?\nAnswer: 1\/20","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 1920 or 1921?\nAnswer: 1921","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 1194 + -456. Suppose -307 - l = -5*v. What is the remainder when v is divided by 21?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -0.2? (a) -0.076 (b) 0.3 (c) 0.03\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) -4 (b) -2\/15 (c) 185.3 (d) -0.4 (e) 0.8\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let f(v) = 83*v**3 + 9*v**2 + 247. Let d(s) = -21*s**3 - 2*s**2 - 62. Let x(m) = -9*d(m) - 2*f(m). What is the derivative of x(o) wrt o?\nAnswer: 69*o**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 2230023212 (base 4) to base 7.\nAnswer: 5665064","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let f(h) = -3*h - 2. Let m(c) = 10*c + 7. Let l(j) = -7*f(j) - 2*m(j). Let k(v) = -76*v + 230*v + 2*v**2 - 4*v**2 - 39*v - 66*v. Calculate l(k(s)).\nAnswer: -2*s**2 + 49*s","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-1)\/(2 - -38))\/((-36)\/180)?\nAnswer: 1\/8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in 0.09, -4, -2\/15, 14, 1.1?\nAnswer: 0.09","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -3.032 and 0.07?\nAnswer: -0.21224","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 23373\/38 + -615. Which is the biggest value? (a) -2 (b) k (c) -4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*a - 2*a + a)*(-342*a - 780 - 528 + 343*a).\nAnswer: a**2 - 1308*a","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*y = 2*c - 14, 26*c + 11 = -5*y + 25*c for y.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Expand (42 + 45 - 84)*(-894*i + 443*i - 5*i**3 - i**2 + 447*i).\nAnswer: -15*i**3 - 3*i**2 - 12*i","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 65924, 131898, 197884, 263888, 329916, 395974?\nAnswer: 462068","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (49635\/4412)\/(2\/8*-3).\nAnswer: -15","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*q = 20, 4*q - 18 = -3*l + 24*q - 17*q for l.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 5*r + 3*i - 25, 70 = 14*i - 0*i. Let o(u) be the first derivative of -1\/28*u**4 - 1\/35*u**5 + 1\/14*u**r + 0*u - 22 + 1\/21*u**3. Factor o(y).\nAnswer: -y*(y - 1)*(y + 1)**2\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 173c4a (base 16) in base 6?\nAnswer: 52345454","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: 25841 (base 11) to base 14\nAnswer: d674","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let -d**3 - 173*d**2 - 6772*d - 58080 = 0. Calculate d.\nAnswer: -121, -40, -12","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 24422 to the power of 1\/9, to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let v(r) = 3*r**2 - 20*r - 24. Let u(h) = h**2 - 10*h - 12. Let n(j) = 14*u(j) - 6*v(j). Factor n(s).\nAnswer: -4*(s + 2)*(s + 3)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i be ((4\/(-32))\/(-1))\/5. Let h(r) be the second derivative of 0*r**2 - 2*r + 1\/48*r**4 + i*r**5 + 0*r**3 + 0. Suppose h(u) = 0. Calculate u.\nAnswer: -1\/2, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0, -1\/4, 286 in ascending order.\nAnswer: -1\/4, 0, 286","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let z(i) be the third derivative of i**6\/120 - 7*i**5\/60 - 3*i**4\/8 + 7*i**3\/6 - i**2. Let c be z(8). Is 90\/8 + c\/4 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 18172723.\nAnswer: 18172723","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Sort -16, 2, 33, -1, -2.\nAnswer: -16, -2, -1, 2, 33","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Expand (43 - 37 - 30)*(-18 + 24*v + 18).\nAnswer: -576*v","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-392*p + 171*p - 234*p)*(p**4 - 2*p**2 + 2*p**2) + (-p**4 + 3*p**4 - p**4)*(2*p + 5*p + 3*p).\nAnswer: -445*p**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 19776880213 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Expand -2*x + 2*x + 2*x + (0 - 2 + 1 + (4 + 8 + 5)*(-3 - 1 - 3))*(2*x - x + 0*x) + (0*x + 3*x - 4*x)*(4 - 5 + 3).\nAnswer: -120*x","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let 3*u**5\/5 + 7*u**4\/5 - 43*u**3\/5 - 3*u**2\/5 + 64*u\/5 + 4 = 0. Calculate u.\nAnswer: -5, -1, -1\/3, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 102.760861 rounded to the nearest integer?\nAnswer: 103","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (v**2)**(-26\/7)\/(v**(1\/3))**29 assuming v is positive.\nAnswer: v**(-359\/21)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 1766 - 1771.9. Are -2\/19 and m unequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(q) = q**3 + 4*q**2 - 11*q + 20. Calculate the remainder when u(-6) is divided by 7.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 0 - -2. Suppose -3*a = -2*t + 170, 0*a = w*t + 3*a - 182. List the prime factors of t.\nAnswer: 2, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(c) = -2*c**2 - 3818*c - 22822. Let q be v(-6). Let i be 2\/7 - (-1168)\/28. What is the greatest common factor of q and i?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -1.2*-438.89.\nAnswer: 526.668","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let m(j) = 2805*j**2 + 6*j + 6. List the prime factors of m(-1).\nAnswer: 3, 5, 11, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 0.1 and 22586.\nAnswer: 2258.6","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: -1a5747 (base 13) to base 4\nAnswer: -2203113022","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let f(p) = 2*p - 7. Determine f(6).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let x be 20\/75 - 2\/3. Let a = -7.7 - -8. Let h = 0.6 - a. Sort -3\/4, x, h.\nAnswer: -3\/4, x, h","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 39 + -28. What are the prime factors of c?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 48 = -2*o + 5*o. Suppose -4 = -4*q - o. Which is smaller: -0.1 or q?\nAnswer: q","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -w + 69 = -2*k + k, 0 = -5*w + 2*k + 342. Let n = w + -8. Calculate the greatest common divisor of 40 and n.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 547 + -244. Suppose 4*h + 13*g = 12*g + 1227, h = g + m. Does 18 divide h?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(n) be the third derivative of n**6\/64 + 23*n**5\/80 + 2*n**4 + 6*n**3 - 1878*n**2. Factor k(w).\nAnswer: 3*(w + 4)**2*(5*w + 6)\/8","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(n) = n**3 + 19*n**2 + 17*n - 13. Let t be z(-18). Suppose -34 = -4*q - 5*u + 15, -4*q - u + 29 = 0. Let d = t - q. Is d bigger than 0.01?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find c such that -6*c**4 + 11074*c**3 - 5118940*c**2 + 8493464*c + 3400336 = 0.\nAnswer: -1\/3, 2, 922","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1406862235?\nAnswer: 5, 281372447","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose v - 65 = -3*c + 663, -5*c + 4*v = -1185. Let g = c - 1451\/6. Calculate the common denominator of 107\/12 and g.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between -0.04 and 5.3542?\nAnswer: 5.3942","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is 13323 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 110 + -108. Find the third derivative of 3*m**6 - 52*m**2 + 76*m**c - 58*m**2 wrt m.\nAnswer: 360*m**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*p + 5*n = -279 + 234, 0 = 6*p - 5*n - 85 for p.\nAnswer: 10","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let i be 2\/(-6) + 17\/51. Solve i = v + 5*f + 4, -2*v + f = -2 - 1 for v.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of -1713, -3223, -4735, -6249, -7765, -9283?\n\"Answer: -j**2 - 1507*j - 205","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*w - 168 - 396 = 0. Let z = w - -235. Is z a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 805, 721, 637?\nAnswer: 553","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 8\/3 of a millennium in months?\nAnswer: 32000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(21)\/sqrt(48) + (sqrt(77)\/(sqrt(11) + -3*sqrt(11)))**2 + (1 + sqrt(700))*2 + (-2*(sqrt(700) - 1*sqrt(700)))**2.\nAnswer: 15\/4 + 81*sqrt(7)\/4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of 412, 123, -166?\n\"Answer: -289*c + 701","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 1953 + -477. What are the prime factors of v?\nAnswer: 2, 3, 41","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -13500, -27179, -40858, -54537, -68216, -81895?\nAnswer: -95574","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-29 + 51 - 9) + 1.\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between 3040 and 240?\nAnswer: 2800","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is -29 + f00b9b?\nAnswer: f00b72","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 11*b - 18*b = -8204. What is the lowest common multiple of b and 32?\nAnswer: 9376","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*r - 3*g + 4*g + 3*g - 6*g + 6 = 0, 4*g + 9 = 22*r + 7*g for r.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Convert -150444214 (base 6) to base 7.\nAnswer: -35330044","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let p(q) = -q**2 + 8*q + 55. Suppose -4*t = 5*b - 47, 2*t + 5*b - 34 = -t. Let d be p(t). Let v(z) = z**3 + 11*z**2 + 11*z + 3. Calculate v(d).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 16071?\nAnswer: 3, 11, 487","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -42 + 55. Suppose z - 5 = k. Let t = 0.9 + -5.9. Which is the third biggest value? (a) t (b) z (c) -2\/7\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: -0.5989 times -1\nAnswer: 0.5989","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is 61794 a multiple of 72?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is 73889393 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*i = -0*i. What is the tens digit of (i - 1)\/(2\/(-34))?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(z) = -z**3 + 2*z**2 + 4*z. Let n be d(3). Let a = 1.9 + -2.1. What is the smallest value in n, -2, a?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -879235682*a**3*j**2 + 27*a**3 - 2*a**2*j - 2419242*j wrt j?\nAnswer: -1758471364*a**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: (16\/20)\/((-26)\/10)\nAnswer: -4\/13","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in 0, -5, 4, -5210046?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let o(z) be the second derivative of 2*z - 5\/12*z**4 - 85\/6*z**3 - 8 + 45*z**2. Let o(x) = 0. Calculate x.\nAnswer: -18, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(o) = -4*o + 43. Let t(a) = -1. Let v(k) = -2*t(k) - w(k). Let q be v(17). Let u = 39 - 12. Calculate the greatest common factor of u and q.\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -37 (base 10) to base 9.\nAnswer: -41","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -8 + 8. Let h = 3 - m. Which is the closest to 2\/7? (a) 5 (b) h (c) -3\/2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 2*o**4*p + 4*o**4*y + 3*o*p**3 - 2*p**3*y - 16*p**2*y wrt o?\nAnswer: 8*o**3*p + 16*o**3*y + 3*p**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is -2120222120211200 + -110?\nAnswer: -2120222120212010","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 142265 divided by 5?\nAnswer: 28453","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let s(d) = d**5 - d**4 + 2*d**3 - d**2 - 30*d + 2. Let z(k) = -k**5 - k**3 + k**2 - 1. Let p(y) = -s(y) - 2*z(y). What is the third derivative of p(h) wrt h?\nAnswer: 60*h**2 + 24*h","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 4.87 times 80.5?\nAnswer: 392.035","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 59 is divided by (-2 - (-25)\/15)\/(2\/(-126)).\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(w) = -w**3 - 6*w**2 + 6. Let o(c) be the first derivative of c**4\/2 + 13*c**3\/3 + c**2\/2 - 13*c + 2483. Determine -13*l(k) - 6*o(k).\nAnswer: k**3 - 6*k","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is -920.32 rounded to the nearest 10?\nAnswer: -920","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*v - 1 = -3. Suppose -27 + v = -2*g. What is the highest common divisor of g and 26?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l be ((-2)\/84)\/((-470)\/329). Let z(s) be the third derivative of 1\/75*s**5 + 0*s + 0*s**3 + l*s**4 + 1\/300*s**6 - 14*s**2 + 0. Let z(f) = 0. What is f?\nAnswer: -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 50 - 36. Is u + 1\/((-1)\/(-1)) a multiple of 12?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 176100 is divided by 88045.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 11 - 2 = 3*i. Solve -4*n = 3*l - 15, -i*l - 3*n = -6*l + 15 for l.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 7892 and 105372011.\nAnswer: 1973","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 51861710.\nAnswer: 2, 5, 163, 31817","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 9476664?\nAnswer: 2, 3, 394861","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*j - 2*p - 3 = -25, 2*j = 3*p. Let d(h) = h**3 + 7*h**2 + h + 41. What is the units digit of d(j)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -1000674*f + 2001432*f - 1000757*f.\nAnswer: f","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let r(i) = -5*i + 116. Let k(m) = -12*m + 232. What is -2*k(u) + 5*r(u)?\nAnswer: -u + 116","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is a4292930 - 1?\nAnswer: a429292b","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*m + 1 = -11. Let p = 49 + -68.8. Let d = -20.2 - p. What is the biggest value in 1\/4, m, -0.5, d?\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 2 in -4, -3\/10, 2, -0.4, -25088?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 5*k - 4*l - 7 - 1, 8 = -k - 4*l. Which is the second smallest value? (a) 1\/2 (b) k (c) -4 (d) -0.5\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(q) = q**3 + 9*q**2 + 7*q + 2. Let y be d(-8). Solve -5*v - y = 0, -x - v + 0*v = 4 for x.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 4621607?\nAnswer: 281, 16447","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*r + 8 = -2*y, -4*y - y + 8 = 2*r. Suppose 0 = 2*q + i + 39, -7*q + r*q - 4*i - 56 = 0. Let d be -3 + ((-214)\/q)\/(126\/35). Is 1 at least as big as d?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (-5)\/5 - 1*-11. Suppose q = 47 + o. Is 19 a factor of q?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((j*j**(-1\/2)*j*j)\/(j\/(j\/j**(-2\/5))))**(3\/14))**(-3\/49) assuming j is positive.\nAnswer: j**(-261\/6860)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -3 + (2 + sqrt(7))*4*-6 + 2.\nAnswer: -24*sqrt(7) - 49","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*u = -i - 1008, -3*u - 225 + 981 = 2*i. Suppose 260 = 4*a + u. Solve -f + 5 = 2*o, 0 = -4*o + f + a*f + 5 for o.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-14)\/(-70)*1\/3*-3*-3.\nAnswer: 3\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of -594953, -594966, -594979, -594992?\n\"Answer: -13*j - 594940","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 2*u**2 + 1168 + 23*u**4 - 1168 + 9*u**2 wrt u.\nAnswer: 552*u","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let 260*a**2 - 59497936*a\/3 - 7933072\/3 = 0. What is a?\nAnswer: -2\/15, 991634\/13","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 5594163?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 52 + 51 - 1212*m + 10334*m + 3*m**2 - 101.\nAnswer: 3*m**2 + 9122*m + 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*i - 72 + 248. Let r = 30 + i. Let m = 27 + r. What are the prime factors of m?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*s = -s + 3. Let a be ((-4)\/(-3))\/2*s. Suppose 0 = 3*v - 3*f, a*v + 2*f = f + 6. Solve -v*j - 3*r + 3 = 15, -3*j + 2*r = 5 for j.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -320925894 by 6.\nAnswer: -53487649","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 1683 and 44?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Convert a0b (base 12) to base 15.\nAnswer: 66b","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 285524 divided by -71381.\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let r(l) = -5*l**2 + 4*l**2 + 6*l - 3*l. Let z be (3\/2)\/((-2)\/(-4)). What is r(z)?\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -93450 divided by 30?\nAnswer: -3115","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let -7*z**2\/3 + 901*z\/3 - 640\/3 = 0. Calculate z.\nAnswer: 5\/7, 128","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -363, -368, -383, -414, -467, -548, -663?\nAnswer: -818","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 52 = 14*s + 38. Is -2\/71 not equal to s?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*w + 5*v + 54 = 0, -w + 16 = 2*v - 2. Suppose 15*j = 20*j - 265. Calculate the remainder when j is divided by w.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(t) be the first derivative of -t**4\/2 - 635*t**3\/3 - 410*t + 274. Differentiate u(j) wrt j.\nAnswer: -6*j**2 - 1270*j","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -4\/7? (a) -1 (b) -0.1 (c) 69 (d) 1\/641 (e) 1\/5 (f) 6\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is 13865648833 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let v(k) = -2*k**2 - 4*k - 7. Let f = -12 - -6. Let h(g) = g**2 + 5*g + 8. Let i(t) = f*h(t) - 7*v(t). Is i(-2) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose z - 5*z + 911 = -3*a, 2*a = 2*z - 604. Let y be (-4)\/(-8) - 227\/2. Let o = y + a. What is o rounded to the nearest 100?\nAnswer: -400","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 948.7530225 to the nearest integer.\nAnswer: 949","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) -5 (b) -0.1 (c) 908873 (d) 0.3 (e) -8\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let i be 6 + -6 - 0\/(-1). Suppose 2*t - 24 - 4 = i. Calculate the remainder when t is divided by 9 - (0\/(-1) - -1).\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 41214.\nAnswer: 2, 3, 6869","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let a(n) be the third derivative of 0*n**5 + 0*n + 7\/3*n**3 - 113\/120*n**6 + 0 + 0*n**4 + 27*n**2. Find the first derivative of a(d) wrt d.\nAnswer: -339*d**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*l**3 + 6*l**3 - 2*l**3)*((l**2 + 4 - 4)*(2 + 4 - 5) + 73*l**2 + 69*l**2 + 97*l**2) + l**5 - 1 + 1.\nAnswer: 481*l**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 720223?\nAnswer: 7, 31, 3319","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8*x - 28 = x. What is the greatest common factor of x and 12?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 46689, 46186, 45683, 45180, 44677, 44174?\nAnswer: 43671","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -28 - -34. Let g be (6\/(-4))\/((-3)\/6) - k. Let c be (-396)\/(-60) - g\/(-5). Solve 2*z = c - 2 for z.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is 6270 + 1?\nAnswer: 6271","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7*j - 2*j - 25 = 0. Let f(z) be the third derivative of -z**4\/24 + 5*z**3\/2 - 6*z**2. Let t be f(10). What is the greatest common factor of t and j?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 631 minutes before 7:43 AM?\nAnswer: 9:12 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*a + 3 - 3)*(-a**3 + 4*a - 4*a) + 0*a + a**4 + 0*a + (-5*a + 2*a + a)*(-3*a**3 + a**3 + 0*a**3) - a**4 + a**4 - a**4.\nAnswer: 2*a**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 1 or 2\/57279521?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let z(w) = -2*w - 3. Calculate z(5).\nAnswer: -13","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 419231?\nAnswer: 419231","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((l**(1\/6)\/l**(-3\/7))\/(l\/l**(-2\/3)*l**(-4)))**(-20\/7) assuming l is positive.\nAnswer: l**(-410\/49)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Convert 687.9092 centuries to months.\nAnswer: 825491.04","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -a*i**5 + 15*a*i**2*m - a + 4*i**5 - 29*i**3*m - i**2 wrt i?\nAnswer: -60*a*i**2 + 240*i**2 - 174*m","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(95) - sqrt(95)*-2)*6)\/(1*sqrt(5)*2) + -1.\nAnswer: -1 + 9*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Convert -44433 (base 7) to base 2.\nAnswer: -10101110111100","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2 - 2 + 26*j + 3.\nAnswer: 26*j + 3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -50*b**2 + b - 136.\nAnswer: -100*b + 1","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 45 + (20 + -17 + -6 + (7 - 2) - -11)?\nAnswer: 58","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Round -1144 to the nearest 100.\nAnswer: -1100","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 185 minutes after 1:13 PM?\nAnswer: 4:18 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -3.1755 + -14.853. Let x = b + 18.1. What is x rounded to 2 decimal places?\nAnswer: 0.07","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 8 and 156708296.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -32? (a) -3 (b) -0.5 (c) 0.4 (d) 0\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 2361155 to the power of 1\/2, to the nearest integer?\nAnswer: 1537","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Put 4, -1583\/2, 3\/8 in decreasing order.\nAnswer: 4, 3\/8, -1583\/2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: (21 - (59 + -45)) + -6 + (3 - 117)\nAnswer: -113","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let r be 1\/((-3)\/162*-3). Suppose 0 = -2*z + 2 - r. Let d(g) = -8*g - 9. Is d(z) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: (128\/(-48) + 1)*(-12)\/10\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 667 minutes after 2:35 PM?\nAnswer: 1:42 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Put -4, 4, -2, 125, 3 in increasing order.\nAnswer: -4, -2, 3, 4, 125","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let m(q) = q**2 - 10*q + 14. Let k be m(6). What are the prime factors of 88\/(-2)*45\/k?\nAnswer: 2, 3, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*x = -4*x + 8. Suppose x*g - 146 = 86. Is g a multiple of 13?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 216 + -646\/3. Let k = -22 - -18. What is the closest to 1\/3 in 0.4, m, k?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 88342 is divided by 44?\nAnswer: 34","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is 6826796 a multiple of 37?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of h**3*s - 3143*h**2*s**2 + 5*h**2 + 8*s**2 + 774*s + 23 wrt h?\nAnswer: 3*h**2*s - 6286*h*s**2 + 10*h","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is 2cccc - 30?\nAnswer: 2cc9c","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let n(m) = 34*m - 38. Let c(w) = w + 2. Let a(i) = -6*c(i) - n(i). Is a(-7) a multiple of 9?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify i**(-7\/3)*i*i**(1\/11) assuming i is positive.\nAnswer: i**(-41\/33)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 245.0555 + -245. Let q = 0.055500793 - o. What is q rounded to seven dps?\nAnswer: 0.0000008","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 2 or 0.26372?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((r\/r**(-29))\/r*r)\/(r*r**(15\/2)*r)*((r*r\/(r*((r\/(r\/(r\/(r\/(r\/(r**(2\/21)*r))))*r))\/r)\/r))\/r)**(-46) assuming r is positive.\nAnswer: r**(-5119\/42)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*r - 20 + 32. Let u be (-1)\/r + 182\/312. What is the nearest to 2 in u, -3\/4, 1\/5?\nAnswer: u","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(t) = -t**2 - 1. Let w be (12\/15)\/(4\/10). Let k(z) = 0*z + 0*z + w - 2*z**2 + 3*z**2. Let i(n) = 2*n - 6. Let m be i(4). What is m*k(f) + 3*d(f)?\nAnswer: -f**2 + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2, -2, 743391 in descending order.\nAnswer: 743391, 2, -2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Put -1\/9, 1, -2.6, -5, -130, -4\/3 in ascending order.\nAnswer: -130, -5, -2.6, -4\/3, -1\/9, 1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let m(q) = 2*q**3 + 1808*q**2 + 20*q + 24. Let v(z) = z**3 + 903*z**2 + 11*z + 13. Give -6*m(x) + 11*v(x).\nAnswer: -x**3 - 915*x**2 + x - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 34613?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 17 + -15. Which is the nearest to -1? (a) -1\/8 (b) t (c) 5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 54\/60487 and -31\/51846?\nAnswer: 362922","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Express -2*i**4 + 0*i**3 + 38 + 5*i**4 - 2*i**3 + 35 as g*i + j*i**3 + b*i**4 + z*i**2 + f and give z.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 16308820 and 330.\nAnswer: 110","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (-3)\/((-1 - 2)\/3). Suppose 3*m + z + 0 = 0. Let h be (m - -4)\/(6\/(-20)). Which is smaller: -11 or h?\nAnswer: -11","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 331191996 to the nearest integer?\nAnswer: 692","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*w - 3*g = -456 + 429, 5*w = -4*g + 35 for w.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let h(l) = l**2 - 21*l - 98. Calculate the remainder when h(27) is divided by 25.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8*d - 4*u + 10063 = -7*d, -5*d = -u - 50231. List the prime factors of d.\nAnswer: 3, 17, 197","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -25 = -5*l, 5*b - l + 18935 = 89080. What is the hundreds digit of b?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 74 + -71. Solve j + 16 = -y*j for j.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 311937 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 50 and 2700.\nAnswer: 50","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let q be 1484\/49 - (-2)\/(-7). Let f be (32\/q - 1)\/((-18)\/(-36)). Solve 0 + 2\/15*o**2 - f*o = 0.\nAnswer: 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -91 divided by -13.\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of -524, -729, -932, -1133?\n\"Answer: m**2 - 208*m - 317","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 93*b = 97*b - 4 for b.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 40603 and 8956167?\nAnswer: 2137","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 26881, 107499, 241883, 430033, 671949?\nAnswer: 967631","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 15485?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 296 minutes before 9:42 AM?\nAnswer: 4:46 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let g be 0\/(-2)*(-3 + 2). Let z(i) be the second derivative of i**4\/12 - 3*i**3\/2 + 15*i**2\/2 - 2*i. Let b be z(10). Solve g = c + 4*c - b for c.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:08 PM and 9:57 PM?\nAnswer: 289","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -32302, -28692, -25096, -21520, -17970, -14452, -10972, -7536?\nAnswer: -4150","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*o + 6*o = 8*o for o.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 1819?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is -2 + ((-704)\/(-220)*(-2)\/12)\/((-76)\/282)?\nAnswer: -2\/95","meta":{"dup_signals":{},"source":"arithmetic__mixed_test"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*b = 4*z + 8, 5*b + z = -3*z - 26. Let g = -82782 - -413904\/5. Which is bigger: g or b?\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 27 - 27. Solve 2*t = -s*t for t.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(v) = 3*v + 2. Let y(m) = 19*m**2 - 130*m - 20*m**2 + 126*m - 1. What is -3*w(u) - 2*y(u)?\nAnswer: 2*u**2 - u - 4","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 753482 to the power of 1\/2, to the nearest integer?\nAnswer: 868","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1860998*g = 1860950*g - 1104 for g.\nAnswer: -23","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 21\/4 of a gram in milligrams?\nAnswer: 5250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let v(t) = 662*t + 4596. What is v(-7)?\nAnswer: -38","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let u(j) = -j + 17. Let s be u(18). Put 13, -3, s in ascending order.\nAnswer: -3, s, 13","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (32\/(-20))\/(-4)*5. Are n and 3 non-equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*l = 56 - 39 - 62 for l.\nAnswer: -9","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0.4, -0.3, -26, 1, 0.40808.\nAnswer: -26, -0.3, 0.4, 0.40808, 1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let d(l) = -3*l**2. Let b(q) be the third derivative of 3241*q**4\/24 + 4*q**2 + 2*q + 55. Give d(b(n)).\nAnswer: -31512243*n**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-k**4 + 0*k**4 + 0*k**4)*(0 + 1 - 5)*(-3 + 0 + 6).\nAnswer: 12*k**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let y(x) be the first derivative of -x**3\/3 + 16*x**2 - 6*x - 41. What is the units digit of y(21)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 8233, 8237, 8241, 8245, 8249?\nAnswer: 8253","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 19508 + -11120. Let c = u - 8388.0000003919. What is c rounded to seven decimal places?\nAnswer: -0.0000004","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 42124245 divided by 2195.\nAnswer: 19191","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: -0.05 * -5072.8\nAnswer: 253.64","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -i + 5*i - 12 = 0, 2*j = -4*i + 334. Is j prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(t) = 15*t. Let y be -1 + 1 + (2 - 0). List the prime factors of i(y).\nAnswer: 2, 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*v + g + 3 = v, -3*v = -5*g - 3. Let u = 98 + -85.3. Let r = 12.2 - u. Which is the second biggest value? (a) 2 (b) v (c) r\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3462 - 124*m + 3462)*(-2 + 0 + 4 - 4 - 1 + 4 + 1 - 2 + 0 + (3 - 4 + 0)*(-1 + 1 - 1) - 1 + 2 + 0 + 1 + 1 - 4 - 3 + 3 + 2 - 1 + 1 - 2 + 72 - 23 - 127).\nAnswer: 9672*m","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let r(j) = -2*j + 54. Let c be r(26). Let x = -7 - -5. Put c, -4, x, 1 in increasing order.\nAnswer: -4, x, 1, c","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 388, 706, 978, 1180, 1288?\nAnswer: 1278","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -1*6\/(-24)*(-3)\/(-10*(-6)\/32)?\nAnswer: -2\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3702*n - 3714*n = -492. What is the remainder when 50 is divided by n?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 38*u**2 + 202 - 66*u - 2*u**3 + 66*u + u**3 - 200.\nAnswer: -u**3 + 38*u**2 + 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is 96*(-94)\/(-2)*(-3)\/(-6) + -5 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(s) = 3136*s + 1008. Let h(m) = 3*m + 1. Give -2016*h(b) + 2*p(b).\nAnswer: 224*b","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is 192 a factor of 48444?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 1 in -18, 16\/5, 0, -2?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is -1000100 (base 2) in base 4?\nAnswer: -1010","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let s(n) = -n**3 + 28*n**2 + 99*n + 16. Let t be s(31). Let m = -183 + t. What is the greatest common divisor of m and 19?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -47*y + 2*o = -44*y - 19, -4*o - 20 = 0 for y.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let m be -10 + 10 + 2 + 0. Let l(p) = -5*p**2 + p + 5. Let s(v) = 4*v**2 - 4. Give m*l(q) + 3*s(q).\nAnswer: 2*q**2 + 2*q - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -447, -1926, -4411, -7896, -12375, -17842?\nAnswer: -24291","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 1\/3? (a) 4 (b) 287\/4 (c) 2.4 (d) 2\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let q be ((-4)\/468)\/(11\/(-6)). Let r = 35647\/8580 - q. Find the common denominator of r and 71\/12.\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(x) = 456*x**3 - 4*x**2 - 8*x + 4. Let a(p) = p**3 - p**2 - 2*p + 1. What is 4*a(z) - c(z)?\nAnswer: -452*z**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 117 minutes before 5:00 PM?\nAnswer: 3:03 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 2 in -1\/8, 5, 1\/5?\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -32 = -2*x - 2*u, -84*u + 82*u + 20 = x. Suppose 0 = -r + 5*k + 8, -5*r + k = -0*k - 16. Solve 18 = -5*n - r*h - x, 3*h + 15 = 0 for n.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -3.95 + -1.05. What is the closest to -1\/5 in -3\/2, 2\/13, z?\nAnswer: 2\/13","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -35*t + 135*t = 22*t + 774228. What is the hundreds digit of t?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 2*i - 4 - 9 + 5 + i to t + d*i and give d.\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:57 AM and 8:00 AM?\nAnswer: 123","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let t(y) = 15*y + 107. Let p be t(-7). Suppose -4\/7 + 4\/7*f**p - 4\/7*f + 4\/7*f**3 = 0. Calculate f.\nAnswer: -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 1? (a) 3590\/911 (b) 1\/5 (c) -48\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 61 and 72291893.\nAnswer: 61","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let h(n) be the first derivative of n**3\/3 + n**2\/2 + n + 3671. Let q(a) = -68*a**2 - 24*a - 24. Give 24*h(g) + q(g).\nAnswer: -44*g**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -3*w**3 + 14*w**2 - 4*w**3 + 5*w**3 wrt w.\nAnswer: -12","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 1 + 3. Let l be ((0 - 2) + 2)\/(-1). Suppose 9*a - 45 = -l. Solve -u*z - a*i = 24, 5*z + 23 + 2 = -5*i for z.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -398, -4, 4, -5, 5 in ascending order.\nAnswer: -398, -5, -4, 4, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is 21243345 + -1154?\nAnswer: 21242151","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 h, 2 z, and 1 m when four letters picked without replacement from {h: 1, x: 3, u: 1, m: 3, z: 2}.\nAnswer: 1\/70","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 470 - -9. What are the prime factors of q?\nAnswer: 479","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -w**2 - 2*w**2 + 3*w**4 - 5*w**3 + w**2 + 3*w**3 - 24*w + 18*w as q*w**2 + b + z*w**3 + k*w + f*w**4 and give z.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -120 + 237 - 4*n - 117.\nAnswer: -4*n","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 20093 and 283.\nAnswer: 283","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -2 + 3. Let n = 2.5236 + -7.5236. Let o = -50.1 - -50. Which is the closest to g? (a) n (b) 2\/13 (c) o\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0.1 in 0.05, 247\/181, 14\/9, -1, -3, -0.2?\nAnswer: 0.05","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 6747.\nAnswer: 3, 13, 173","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -20448, -36942, -53436, -69930, -86424, -102918?\nAnswer: -119412","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -0.04571 + -0.25429. Sort 12, 5\/3, -4, p, 1 in increasing order.\nAnswer: -4, p, 1, 5\/3, 12","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0.2 in 1\/2801, -1, -5?\nAnswer: 1\/2801","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let l(p) = p**2. Suppose -3*k - 2*k = -25. Let b(d) = 3 + k - 8 + 2*d. What is l(b(u))?\nAnswer: 4*u**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*g + 2*l = 47, -5*l + l = -g + 5. Let u be g\/6 - 1\/(-2). Which is greater: 6 or u?\nAnswer: 6","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (90\/18)\/((-10)\/4).\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.001562 to four dps.\nAnswer: 0.0016","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 133839?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 3796 is divided by 21.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 4447636?\nAnswer: 2, 101, 109","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 93 = 2*q - 5*q. Let o = -34 - q. Let k = o + 10. Calculate the remainder when k is divided by 5.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 45084 and 6648.\nAnswer: 24976536","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:39 PM and 8:11 PM?\nAnswer: 152","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -21 + 20.7. Put 1, -2, a in increasing order.\nAnswer: -2, a, 1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 11452000 rounded to the nearest 1000000?\nAnswer: 11000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -91\/800 + 3\/32. Let s be (-1)\/(((-800)\/(-17))\/2). Let n = s + b. Which is smaller: n or 1\/5?\nAnswer: n","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 80 + -72. Let p = 12 - s. Suppose -2*q + g = -339, -2*q - p*g + 672 = 2*q. Does 20 divide q?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {u: 8, q: 5}. Give prob of sequence uuqq.\nAnswer: 28\/429","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is 1 + 100122?\nAnswer: 100200","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let c(r) = -r**2 + 8*r - 19. Give c(8).\nAnswer: -19","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is 379008782 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {a: 4, y: 10, d: 2}. Give prob of sequence daa.\nAnswer: 1\/140","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 85709.\nAnswer: 13, 19, 347","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -142*h**2 - 5*h + h**3 + 143*h**2 + 11*h**3 + 26*h**3 to the form u*h**2 + r + y*h**3 + t*h and give y.\nAnswer: 38","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: How many centimeters are there in one fifth of a meter?\nAnswer: 20","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: 1024488 divided by 6\nAnswer: 170748","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 11 - 8. Let x be (-10)\/15*w\/(-8). What is the nearest to 0 in 4, x, 11?\nAnswer: x","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6 = 7*z - 8*z. Let t(a) = 3*a**2 + 6*a - 14. List the prime factors of t(z).\nAnswer: 2, 29","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 6*d**2 - 3*d**2 + 26 - 2*d**2 - 2*d**2 + 2*d**4 - 6*d + 0*d to the form p + q*d**3 + u*d**2 + c*d + t*d**4 and give c.\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -2589.22 - 171.08. Round t to the nearest one hundred.\nAnswer: -2800","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -330*b + 25657 = 1416*b - 2279 for b.\nAnswer: 16","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 33 and 3377.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Convert 0.898716l to millilitres.\nAnswer: 898.716","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 317 and 3170?\nAnswer: 3170","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is 6 a factor of 28369740?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 111772247?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -1801 or -1802?\nAnswer: -1801","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve 37433*h - 38327*h = -72414 for h.\nAnswer: 81","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 567 and 119?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let k(w) = 17*w**3 + 4*w**2 + 4*w + 5. Let q(u) = -18*u**3 - 3*u**2 - 3*u - 4. Calculate 3*k(x) + 4*q(x).\nAnswer: -21*x**3 - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -0.32 - -0.52. Sort x, -7, 10 in descending order.\nAnswer: 10, x, -7","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 86663*l**2*p + 4*l*p + 2*l - 7*p - 12 wrt l?\nAnswer: 173326*p","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -2*(4\/(-18) - 608\/(-144)).\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -p**3\/7 + 78*p**2\/7 + 258109*p\/7 + 258030\/7 = 0 for p.\nAnswer: -470, -1, 549","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 3 x when three letters picked without replacement from {w: 16, x: 4}.\nAnswer: 1\/285","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let w be 43*3 + 3\/(-5 - -8). Suppose -s = -2, 11*y + 5*s = 7*y + w. Sort -4, -1, y in descending order.\nAnswer: y, -1, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ninth root of 6137 to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1026, -5, -2, -3 in descending order.\nAnswer: -2, -3, -5, -1026","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (6*-1*sqrt(5)*-2)**2.\nAnswer: 720","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 6867 and 119?\nAnswer: 116739","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 1746*l - 1337*l - 6135 for l.\nAnswer: 15","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let b(a) = 9 - 2*a + 4*a - 2. Let x(l) be the third derivative of l**4\/6 + 13*l**3\/6 + l**2. Let o(c) = -11*b(c) + 6*x(c). Determine o(2).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {o: 1, b: 5, a: 5}. Give prob of picking 1 o and 3 b.\nAnswer: 1\/33","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 73 and 73?\nAnswer: 73","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 771 + -772. What is the hundreds digit of (-42)\/(l + -5) + 2029?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 201 (base 9) in base 7?\nAnswer: 322","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 72817 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is 2 + -112022210221022?\nAnswer: -112022210221020","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 361 is divided by 181?\nAnswer: 180","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there in 1\/45 of a day?\nAnswer: 32","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -5*t**3 - 48*t**3 - 25*t**3.\nAnswer: -78*t**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify l**(-2\/73)\/((l*l**(-2\/19))\/l) assuming l is positive.\nAnswer: l**(108\/1387)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -109*c*s**4 - c*s**2 - 2*c*s - 3*c - s**3 + 2*s**2 - 119*s wrt s?\nAnswer: -1308*c*s**2 - 2*c - 6*s + 4","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let s(g) = g**3 - 8*g**2 + 9*g - 10. Let h be 6\/15 - (-24)\/(-10). Let z = 5 - h. Let f be s(z). Solve -j = -f + 2 for j.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 7742474?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (3 - (0 - -9 - -5)) + 5.\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of 11, 8, 5, 2?\n\"Answer: -3*i + 14","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 178\/255 + -137681\/191760. What is the common denominator of 11\/846 and p?\nAnswer: 6768","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -6671 - -6706. What is the least common multiple of 462 and u?\nAnswer: 2310","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 44 - 92 + 48 - 6*q**3.\nAnswer: -6*q**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let w be 39\/(-15) - (-2)\/(-5). Let d be (-10)\/(w + -1 + 2). Let q(y) = -y**2 + 1. Let i be q(1). Solve -d*g = s - 10, -4*g + i*s + 8 = 3*s for g.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 3*p**2 - 21*p - 8232.\nAnswer: 3*(p - 56)*(p + 49)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 359\/59753 or -1?\nAnswer: 359\/59753","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 48 and 66.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is 74829 bigger than 74829?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of -104, -72, -40, -8, 24, 56?\n\"Answer: 32*p - 136","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let p be 66\/72 + 2\/(-8). Which is the nearest to p? (a) -3 (b) 5 (c) -5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 6*c - 40 = -10 for c.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let p(v) = -v**2 - 19*v - 46. Let h be p(-16). Let l(a) be the first derivative of a**2\/2 - 4*a - 2. Give l(h).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(t) = 3*t**2 - 104*t + 256. What is q(32)?\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let c be ((-9)\/(-6) - -1)*10\/75. Factor 0*i + 0*i**2 + c*i**4 + 1\/3*i**3 + 0.\nAnswer: i**3*(i + 1)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(l) = 931291*l - 2793823. Determine q(3).\nAnswer: 50","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 2606048214?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*k + 3*k + 78 = -2*a, 2*a = 2*k - 146. Is 8 a factor of k?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -1.5 + -1.3. Let m = -3.2 + c. Let y = m + 5. What is the nearest to 0 in 4, -2, y?\nAnswer: y","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(300) - -3*(1*sqrt(300))**2 - (-5 + (sqrt(300) + -1)**2) - (4*1*sqrt(300) + 3).\nAnswer: -10*sqrt(3) + 601","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*u + 12 = -3 for u.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is -2.64492701 rounded to 4 dps?\nAnswer: -2.6449","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is -81 times 6?\nAnswer: -486","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2 - 2*v**2 - 2)*(0 + 21 + 57 + 144) + (9*v**2 - 7*v**2 + 2*v**2)*(4 - 2 - 3).\nAnswer: -448*v**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let z be ((-6)\/54)\/(-1) - 62\/(-9). Suppose z*h = -5*n + 4*h + 15, -2*h = -10. Solve n*a + a = 0 for a.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3689 = 2*v + 489. Suppose -3*i + v = -7*i. Round i to the nearest 100.\nAnswer: -400","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of -112, -111, -110, -109, -108?\n\"Answer: u - 113","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 89251.86 decades in months?\nAnswer: 10710223.2","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 10724 - 10725. Put p, 2, -2\/11, 144 in descending order.\nAnswer: 144, 2, -2\/11, p","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 20 and 80?\nAnswer: 80","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 14 + -23. Let k = 2 + q. Let y(z) = -z**2 - 7*z + 5. What are the prime factors of y(k)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1237 is divided by 119.\nAnswer: 47","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from nnwnnwwwwww. What is prob of sequence nw?\nAnswer: 14\/55","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is -10 + 212?\nAnswer: 202","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is -1*(-945)\/85 + -11 - (44760\/102)\/(-10)?\nAnswer: 44","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 2864.808s to minutes.\nAnswer: 47.7468","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 36769889 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose d - 8 = -3*d. Let q = 0 - 5. Let r(a) = -2*a + 8. Let u be r(6). Sort q, u, d in ascending order.\nAnswer: q, u, d","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 703 minutes after 2:07 AM?\nAnswer: 1:50 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let z(x) = -9*x + 139. Let o be z(13). Suppose 10388 = 5*p - f, -p - o*f = -20*f - 2071. Is p a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -2*s + 6*s - 2*s - 3*s + 1 - 1 - s - 2*s + 4*s - 5*s + 0*s + 3*s + (-1 + 0 - 1)*(-3*s + 0*s + 2*s) - 3*s + 3*s + s + 0*s + 0*s + 2*s - 7 + 40*s + 7.\nAnswer: 43*s","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 15*i**5 + i**4 - 80*i**3 - 4*i**2 + 134*i + 3?\nAnswer: 900*i**2 + 24*i - 480","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence wwi when three letters picked without replacement from cwwwwwcccicic.\nAnswer: 10\/429","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is 4 + -435?\nAnswer: -431","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 40033152 divided by 5?\nAnswer: 40033152\/5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of 8575152, 17150306, 25725460, 34300614, 42875768?\n\"Answer: 8575154*z - 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth root of 236515 to the nearest integer?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let s(h) = 108*h**2 + 899*h + 266. What is s(-8)?\nAnswer: -14","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -4*t**2 + 7*t + 4*t**2 + 6*t**2 wrt t.\nAnswer: 12","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(c) = -c**2 + c - 1. Suppose -43*k = -47*k - 4. Let p be (0 + -3)*(-6)\/(-9). Let y(j) = 3*j**2 - 2*j + 4. Give k*y(h) + p*b(h).\nAnswer: -h**2 - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Factor -89297008618095*h**4 + 3661074866243745*h**3 + 4201931815650*h**2 + 1607543500*h + 205000.\nAnswer: -5*(h - 41)*(26139*h + 10)**3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -340 - t**3 + t - 5*t**2 + 342 + t to l*t**3 + b*t + n + q*t**2 and give b.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let f(j) = -2*j - 13*j - 3*j. Let o(d) = d**2 + 2*d - 2. Let q(t) = 3*t**2 + 5*t - 5. Let g(k) = 5*o(k) - 2*q(k). Give f(g(r)).\nAnswer: 18*r**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*z - 6626 = -3*h, 4452 = 14*h - 12*h - 6*z. Solve -h*l = -2211*l for l.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find i such that 28\/5*i**3 + 256\/5 + 64*i + 2\/5*i**4 + 144\/5*i**2 = 0.\nAnswer: -4, -2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {s: 2, n: 3, e: 2, d: 2, v: 4, u: 2}. What is prob of picking 1 d, 1 u, and 1 s?\nAnswer: 8\/455","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of 445248, 445289, 445330?\n\"Answer: 41*s + 445207","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_test"},"subset":"dm_maths"} +{"text":"Question: What is 166 minutes after 7:23 AM?\nAnswer: 10:09 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-11 - (-4 + -14)) + -3 + 0.\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 24325*s**2 + 6*s - 1287 wrt s.\nAnswer: 48650","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Express 0 + 1 - f**3 - 4*f**3 - f as n*f**3 + i*f**2 + b + t*f and give t.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 3 - 6. Suppose -2*u + 26 = -6*u + 2*o, -3*u + 4*o = 22. Let b = y - u. List the prime factors of b.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -0.15 + 0.1. Let l = h - -0.02. Let f = l - -0.03000015. Round f to seven dps.\nAnswer: 0.0000002","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 22*j = 28*j - 288. Calculate the greatest common divisor of j and 12.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 11332 times 160?\nAnswer: 1813120","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is 30542758717 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -30 + 74*j**2 + 2*j**4 + 613*j**3 + 31 + 24*j**3 - 64*j**3 + 496*j**3 wrt j.\nAnswer: 48*j + 6414","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 14411009?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 36934698?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 36 - 9. Suppose -5*j - 7 + t = 0. Solve -j*o + 5 = -5*o for o.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(w) = -3*w**2 + 458*w + 626. Let v be p(154). Which is the second smallest value? (a) v (b) -2\/5 (c) -437 (d) 5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3 = -3*w - 3*n, 3*w - 25 - 7 = 4*n for w.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 646 and 1998.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 10 minutes before 10:45 PM?\nAnswer: 10:35 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (-12)\/(-10) + 235\/75 - 5. What is the closest to n in -1\/16, 1\/11, 0?\nAnswer: -1\/16","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1061519460 to the power of 1\/2, to the nearest integer?\nAnswer: 32581","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -136 or -127?\nAnswer: -127","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 41 is divided by 38.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3 = 3*q, -5*g - q - 69 = -7*g. Let o = g - 17. Solve -2*d = -3*z + 3*d - o, -4*z + 2*d = 18 for z.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -5917\/4 + 1480. Solve 1\/4*u**2 - 1 - z*u = 0.\nAnswer: -1, 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 65*l = 67*l - 4*t - 18522, -4*t = 3*l - 27723. List the prime factors of l.\nAnswer: 3, 3083","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 292034273 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let g(w) = 4*w**2. Let p(q) = -34*q**2 - 3. What is g(p(u))?\nAnswer: 4624*u**4 + 816*u**2 + 36","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -4 - 0. Let u be 40\/(-3)*9\/p. Suppose -5*s + u = 5*i, 4*i = 3*i - 5*s + 10. Solve i*d + k + 12 = 0, 3*d - 18 = 7*d - 2*k for d.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Total of 34609 and -705.72.\nAnswer: 33903.28","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -18416 = -9*h + 15046. List the prime factors of h.\nAnswer: 2, 11, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 23007784287 - 13435313200. Let w = g + -9572471159.99999959. Let r = -73 - w. Round r to 7 dps.\nAnswer: -0.0000004","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -5, -310, -65, -7 in decreasing order.\nAnswer: -5, -7, -65, -310","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is 719184001 a multiple of 1229?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve -7*n + 59 = 7 - 11 for n.\nAnswer: 9","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -5 - -9. Suppose 3*q = -x + o*x + 66, 3*x = -3. Suppose 180*m = 207*m - 405. Calculate the least common multiple of q and m.\nAnswer: 105","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -5*v - 2*s, 10*v + 11 = 12*v + 3*s for v.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 21 and 161.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 172292?\nAnswer: 2, 19, 2267","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 992?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of 8607, 8801, 8995, 9189?\n\"Answer: 194*l + 8413","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 32\/5 + (1072\/(-80) - -13)?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (5 + 1 + sqrt(48) - sqrt(33)\/(sqrt(297)\/sqrt(3)))**2.\nAnswer: 44*sqrt(3) + 229\/3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 552 + 2*l**3 - 552.\nAnswer: 2*l**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let y be 2\/(-5) - (5 - 310\/25). Is 8 + y + 24477 + 1 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -h + 248 = -4*d, 4*h = -5*d + 2*h - 323. Let b = 66 + d. Solve -8 = 4*p + b*f, -2*f - f - 10 = 5*p for p.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -11514*c**3 + 22874*c**3 + 15285*c**3 - 2*c.\nAnswer: 26645*c**3 - 2*c","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*u + 4*g + 20 = 0, -4*u = -0*u + 2*g + 20. Let f be 1\/(6\/(-15))*4\/u. Solve -2*c - 9 = -c + 2*v, -3 = 3*c - f*v for c.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*t + 53 = -157. Let q be (-1 + 3)\/((-6)\/t). Solve -4*o + 4*h = 0, -2*o - h + q = 4*h for o.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Product of -0.241 and 2.2.\nAnswer: -0.5302","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -35825, -35550, -35275, -35000, -34725, -34450?\nAnswer: -34175","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -o - 5*d + 6 = 0, -4*o - d = -5*d - 72. Solve -2*a - 45 = -5*p - 7*a, a + o = 4*p for p.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (v*v\/((v*v**(1\/9)*v)\/v))**(-25) assuming v is positive.\nAnswer: v**(-200\/9)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 69456071 + -0.2337?\nAnswer: 69456070.7663","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let p(g) = -5*g + 105. Let v be p(22). Which is the smallest value? (a) 4 (b) -3 (c) v\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-4 + -5 + -1 + sqrt(1900) + 0 + -5*-3*(5 + (sqrt(1900) - sqrt(1900)*2)))**2.\nAnswer: -18200*sqrt(19) + 376625","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -5.58 - -1.02. Let h = 5.178 + j. What is h rounded to two dps?\nAnswer: 0.62","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from eleeeletlel. What is prob of picking 4 l?\nAnswer: 1\/330","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (1\/(-3) + 1)\/(88\/33). Let y = 4\/5 + -3\/10. Which is the biggest value? (a) y (b) u (c) -1\/3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(k) = 10*k**2. Let o(w) = 2*w**2 - 82 + 10 + 86. Give o(g(t)).\nAnswer: 200*t**4 + 14","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence pqj when three letters picked without replacement from apjqv?\nAnswer: 1\/60","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let p(w) = 28*w**3 - 14*w**2 - 3*w - 52. What is the tens digit of p(12)?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 31\/2 of a centimeter in millimeters?\nAnswer: 155","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is -3 + 1084?\nAnswer: 1081","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 3*i - m + 21, -2*i - 209 + 229 = 3*m + 2*m for i.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 8 + 31 + 36676*n**2 - 39.\nAnswer: 36676*n**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 e and 1 z when two letters picked without replacement from zzzezzzzyzzzzzzzzzz.\nAnswer: 17\/171","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let w(a) be the first derivative of -236*a**5\/35 - 18*a**4\/7 - 4354. Find b such that w(b) = 0.\nAnswer: -18\/59, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (14*u + 5*u - 4*u)*(2*u**2 - 2*u + 2*u).\nAnswer: 30*u**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is z in -3*z**5 + 150*z**4 + 855*z**3 - 1590*z**2 - 3372*z + 3960 = 0?\nAnswer: -6, -2, 1, 2, 55","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let k(l) = 4*l - 9. Let t(y) be the first derivative of -y**2 + 5*y + 16. Determine -3*k(n) - 5*t(n).\nAnswer: -2*n + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3 = 4*c - 1. Suppose -3*u = -5 + 2. Let k be u\/1 + (-2)\/8. Does c = k?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of -275, -539, -799, -1055, -1307?\n\"Answer: 2*r**2 - 270*r - 7","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.0001123258 rounded to seven dps?\nAnswer: -0.0001123","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is 23266638523 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of -3193, -3134, -3075, -3016, -2957, -2898?\n\"Answer: 59*p - 3252","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 4311 and 637?\nAnswer: 2746107","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let h(c) = c**2 + 2*c**2 + 0*c**2. Let y(s) be the first derivative of 0*s - 1 - 1\/2*s**2. Give y(h(l)).\nAnswer: -3*l**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let x(a) = 14 - 17 + 5*a + 2 - 17*a. Calculate the smallest common multiple of 55 and x(-3).\nAnswer: 385","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence vv when two letters picked without replacement from {v: 5, a: 2}.\nAnswer: 10\/21","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 6 - (6 + 3 + -1 + (-3 - -13)).\nAnswer: -12","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 2869 and 1661.\nAnswer: 151","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 937?\nAnswer: 937","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is 3 - -1796?\nAnswer: 1799","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (-1816)\/(-21) + (-1)\/7. Let l = j - 87. Put -1\/24, l, 3\/5 in decreasing order.\nAnswer: 3\/5, -1\/24, l","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is -72660 + -57?\nAnswer: -72727","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let q(y) = -3345*y - 6. Let u be q(-2). Is (2\/(-16)*-2)\/(3\/u) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(v) = -v**2 - 20*v + 46. Let i be h(8). Let m = i + 206. Let l = 4 - 0. Calculate the greatest common divisor of m and l.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 54295 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let -3*j**4\/4 + 582*j**3 + 445521*j**2\/4 + 221595*j\/2 = 0. What is j?\nAnswer: -158, -1, 0, 935","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is l in 2*l**3\/15 + 14*l**2\/15 - 16*l\/3 + 88\/15 = 0?\nAnswer: -11, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from vvvvvvvvv. Give prob of sequence vv.\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*d = 3*i + 2*i - 45, -5*d + 25 = -5*i. Suppose -8 = 3*l - d*l. Calculate the least common multiple of ((-8)\/l)\/((-4)\/14) and 20.\nAnswer: 140","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(h) = 9*h**2 - 2*h + 1. Let r = -21 - -21. Suppose -1 + r = -y. What is b(y)?\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is fourty-six fifths of a litre in millilitres?\nAnswer: 9200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let t(n) be the first derivative of n**3 + 0*n**2 + 140 - 3\/2*n**6 + 13*n + 0*n**5 - 2*n**4. What is the third derivative of t(w) wrt w?\nAnswer: -540*w**2 - 48","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 301 and 187007.\nAnswer: 43","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let f(r) be the first derivative of 1\/3*r**3 + 4*r + 11 - 1\/2*r**2. Determine f(0).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -49 + 70. Suppose n = o + 5*j, 20 = 4*o - 4*j + 8. What are the prime factors of o?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -2478 divided by 70?\nAnswer: -177\/5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 14437?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -0.572429 or -3?\nAnswer: -0.572429","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let t be 0\/1 + 0 + 0. Suppose 16 = 4*i, -4*l - 5*i = -2*l - 8. Let c be (-3)\/(l\/(-8)*-2). Solve t = -4*g - c - 6 for g.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(b) = -4*b**3 - 7*b**2 + 4*b + 1. Let i(f) = -5*f**3 - 8*f**2 + 4*f + 1. Let x(z) = -3*i(z) + 4*m(z). Let h = -398 - -393. Determine x(h).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(h) = 2*h**2 - 2*h + 8. Let t be b(9). Is 152 bigger than t?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m be -2 - 5*(-4 - -2)\/2. Solve -j - m*j = -5*p + 2, 2*j = 3*p for p.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in 0, 2, 565, 1.332?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 34023330?\nAnswer: 2, 3, 5, 11, 34367","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is 924412441 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let i(g) = -g**3 - 15*g**2 + 689*g - 379. What is i(-35)?\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 10*i - 305 = 1035. What is the units digit of i?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1254661?\nAnswer: 1254661","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -140565026*q**3 - 19*q**2 + 1668*q - 71 wrt q?\nAnswer: -843390156","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (-36)\/(-8) + 4\/(-8). Suppose 39 + 15 = -2*j - a*z, 4*j + 2*z + 96 = 0. Let t = j - -65. Does 14 divide t?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: (828\/(-1104))\/(45\/(-40)*-7)\nAnswer: -2\/21","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 2760 and 6336?\nAnswer: 728640","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 41\/(-41)*1*3*1?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: -4834068 - 0.271\nAnswer: -4834068.271","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 1\/44 + 85\/132. What is the nearest to p in -4, 6, -2?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 287148?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -127*m**4 + 17*m**3 + m**2 - 7*m - 1581797 with respect to m.\nAnswer: -508*m**3 + 51*m**2 + 2*m - 7","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(208)*-2 + -3 + (sqrt(130)\/(sqrt(10)*3 + sqrt(10)) + 3)**2.\nAnswer: -13*sqrt(13)\/2 + 109\/16","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 30568 is divided by 1092?\nAnswer: 1084","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 25593037 is divided by 1114.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 361 - 339. Suppose 4*g = z + 28, -3*g + v = 2*z - 3*z. What is the lowest common multiple of 398 and g?\nAnswer: 1194","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in -0.2, 0.5, -0.13?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*i**2\/7 - 172*i\/7 - 3698\/7.\nAnswer: -2*(i + 43)**2\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*k + 3 = 3*k. Suppose 3*x + 9*u - 46 = 13*u, 0 = 3*x + 2*u - 40. Is x at least k?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -5*q - 13 + 43. Calculate the remainder when 22 is divided by q.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (6*(-1 + 1 + 2*sqrt(28)\/sqrt(4) + -1 + sqrt(252)\/sqrt(9) + 1)*-6)**2.\nAnswer: 145152","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: 0.5 - 30854\nAnswer: -30853.5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let f(y) = -y + 17. Let z be f(13). Suppose -10 = -z*p - 2. Suppose p*d + 0*d = 14. What is the units digit of d?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -3885983, -3885980, -3885963, -3885926, -3885863, -3885768?\nAnswer: -3885635","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Does 555 divide 964679828?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -9*n = 4*n - 3299 - 34141. Does 45 divide n?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -l - 5*a = -8, -5*l + 55 + 69 = -3*a. Let z(y) = 15 - y**2 - 8 - 9*y - l. Let s be z(-6). Solve -s*w = 2*w + 16 for w.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(d) be the third derivative of d**5\/10 + 13*d**4\/24 + 4*d**3 + 203*d**2. Is 22 a factor of q(-8)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -243\/8 or -31?\nAnswer: -243\/8","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is 14000984717 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -19\/234 and 167\/60?\nAnswer: 2340","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3*s**4 + 17*s**2 - 17*s**2)*(-1661 - 147*s + 1661) - 2*s**5 + 5*s**5 - s**5.\nAnswer: 443*s**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(33)\/(sqrt(99)*-1) + (sqrt(27) + sqrt(3) + 3 - (sqrt(3) + sqrt(15)\/sqrt(5) + 5 - sqrt(3))) + 5)**2.\nAnswer: 16*sqrt(3) + 91\/3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -1.04*-6.\nAnswer: 6.24","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 2029.52 rounded to the nearest 100?\nAnswer: 2000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is 89151913 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence xb when two letters picked without replacement from bbxx.\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is (-2 + 1)*(214 - 192)?\nAnswer: -22","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(z) = z**3 - z**2 - z + 13. Let f be a(0). Suppose -f = -o + 136. Is o prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (11 - 5)\/(2 - 0). Suppose -3*c + 406 = 2*c + d*y, 4*c - 310 = 5*y. Calculate the smallest common multiple of c and 20.\nAnswer: 80","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-2 - 3) + -15 + 19 - 5\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 21*v - 20*v = 5. Is 204\/340 + (8504\/v)\/2 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 45 - 39. Suppose 12*q - 318 = f*q. Is q a multiple of 26?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 19330\/17 - 1136. What is the second smallest value in -3, f, 5?\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -138.03 + 138. Let r = -0.9831 - 0.0169. Sort -0.2, r, 3\/2, v in increasing order.\nAnswer: r, -0.2, v, 3\/2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is a10 + -897?\nAnswer: 157","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 27 - 15. Suppose -13 - 29 = -2*g. Suppose 3*a - g = 84. Calculate the remainder when a is divided by o.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(i) = i**2 - i + 1. Let d(p) = -p**3 + 10*p**2 + 12*p - 12. Let x be d(11). Let g be c(x). Is g <= -7?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(q) be the third derivative of -172*q**7\/105 - 4715*q**4\/24 + 3*q**2 + q + 533. What is the second derivative of i(h) wrt h?\nAnswer: -4128*h**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 108 - 104. Solve 4*g - 2*v + 6 = 0, 5*v = -g - r*g - 15 for g.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 2 - 1. Let n = 93 - 95. Let j be -4 + n - (-81)\/12. What is the nearest to k in 3\/5, j, -0.2?\nAnswer: j","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -4 (base 9) to base 14.\nAnswer: -4","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 1\/5 of a kilogram in grams?\nAnswer: 200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -54 - -84. Calculate the common denominator of (61\/u)\/(4\/(-6)) and 26\/32*-3*4.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -30010020 (base 4) to base 2.\nAnswer: -1100000100001000","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Sum 256.1629 and 463.208.\nAnswer: 719.3709","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-6*5*(-4 + -1*((sqrt(539) - (sqrt(539) + sqrt(539)*1)) + sqrt(539) + 2 + -1*(sqrt(539) + 2 + sqrt(539) + sqrt(539))) + -5))**2.\nAnswer: -340200*sqrt(11) + 4438800","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-2409)\/(-1089) + (-6)\/11)*12\/110?\nAnswer: 2\/11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(x) be the first derivative of x**3\/3 + 3*x**2\/2 - 7*x + 13. Let j(i) = 8*i + 1. Let a be j(-1). Is p(a) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 4.2 + -4.3. Let v = -0.04 - -5.04. What is the second smallest value in r, -5, v?\nAnswer: r","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 971000 rounded to the nearest 100000?\nAnswer: 1000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -47, -58, -77, -104, -139, -182, -233?\nAnswer: -292","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let n(b) be the first derivative of 2*b**5\/5 + 44*b**3\/3 - 158*b - 101. Find the first derivative of n(x) wrt x.\nAnswer: 8*x**3 + 88*x","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (7*h**5 - 4*h**5 + 19*h**5)*(1 - 3 + 4) - 2*h**5 + 2*h**5 - 2*h**5 + (-3*h**4 + 3*h**4 - h**4)*(5 + 2*h - 5)*(3 - 4 - 2).\nAnswer: 48*h**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (a**(20\/3)*a)\/(a\/a**0*a)*a*a\/a**(-3\/8)*a**(1\/7)*a assuming a is positive.\nAnswer: a**(1543\/168)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1072 = 13*z + 981 for z.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 14651 is divided by 137?\nAnswer: 129","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*d - d + 16 = 2*t, -19 = 3*d - 5*t. Suppose -3*m + 18 = 5*k - 3*k, k = -d*m + 9. What is the smallest common multiple of k and 1?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -45 - -133. Let i be 26\/130 - 1*(-218)\/10. What is the highest common factor of h and i?\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-125 - 7 - 16)*(6*g - g - 3*g) - 4*g + 5*g + 0*g.\nAnswer: -295*g","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 169 - 152. Suppose 20*i - 12 = o*i. Solve 0 = 5*a + 1 + i for a.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -32 + 37 = 5*c for c.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -1138, -1139, -1140, -1141, -1142?\nAnswer: -1143","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is 20 - a313?\nAnswer: -a2d3","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Convert 2012 (base 3) to base 11.\nAnswer: 54","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose s - 3*o - 65026 = 0, -2*s + 32555 = -5*o - 97494. What is the units digit of s?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) 2\/499 (b) 0.2 (c) -0.1 (d) -5 (e) 0.07\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -46 - -59. Suppose -b = -4*c - 409. Is (807\/(-2))\/(3 + c\/30) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(j) be the third derivative of 3 + 17*j**2 + 1\/240*j**5 - 9\/4*j**3 + 0*j + 5\/32*j**4. Factor d(s).\nAnswer: (s - 3)*(s + 18)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from yttyyftttyttfyytyy. Give prob of picking 2 t and 2 f.\nAnswer: 7\/765","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -40255, -80810, -121377, -161962, -202571, -243210?\nAnswer: -283885","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand (1 - 3 - 2)*(4*i**3 - 3*i**3 - 4*i**3) + (-1 + 2*i**3 + 1)*(3 - 1 - 4) + 0*i**2 + 0*i**2 - i**3.\nAnswer: 7*i**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of 1540, 1538, 1534, 1528, 1520, 1510?\n\"Answer: -f**2 + f + 1540","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 85\/9470524 and 149\/434238.\nAnswer: 198881004","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*o = -2*o + 5*o. Suppose 5*t = -3*n + 1, 5*t - 5*n - 18 - 7 = 0. Solve o = 3*a - 4*a - t for a.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 26531?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is 12257 a multiple of 270?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let j(m) = m**3 - m**2 + 18*m - 4. Let o(f) = 5*f**3 + 7363*f**2 + 108*f - 24. Determine -6*j(v) + o(v).\nAnswer: -v**3 + 7369*v**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve -78 = 518*u - 492*u for u.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((693\/(-132))\/(-21))\/(1\/36).\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 3768.2*-0.5.\nAnswer: -1884.1","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -4069957 or -0.1?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in three fifths of a litre?\nAnswer: 600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 3 - 6. Let p = g - -6. Solve p*b + 3*j + 3 = 0, -5*j = -b - b - 9 for b.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -1413*k**4 + 2480 wrt k?\nAnswer: -5652*k**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let o be -2*5\/(-110)*(5 + -3). Let i = 0.13 - 0.03. Let l(k) = 3*k + 14. Let z be l(-6). Put z, i, o in increasing order.\nAnswer: z, i, o","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -2501, -2502, -2503?\nAnswer: -2504","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let g(d) be the first derivative of -d + 4 + 8\/3*d**3 + 0*d**2. List the prime factors of g(1).\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(z) = -11*z - 8 - 8*z**2 + 5*z**2 + z + 3. Let q be v(-2). Factor -6*y**q - 3\/2 - 9*y**2 - 6*y - 3\/2*y**4.\nAnswer: -3*(y + 1)**4\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -149\/288 and 67\/32.\nAnswer: 288","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -4984 divided by 3.\nAnswer: -4984\/3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -16 or -28?\nAnswer: -28","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is 517774 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let l(f) = 2*f**2 + 25*f - 3. Let z(n) = -2*n**2 - 24*n + 2. Let p(h) = -4*l(h) - 6*z(h). Suppose p(r) = 0. What is r?\nAnswer: -11, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2067*c - 25 = -2062*c. Let k(l) be the second derivative of l**3 + 17*l**2\/2 + 15*l. Let y(f) = -4*f - 11. Calculate c*k(d) - 7*y(d).\nAnswer: -2*d - 8","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0 + 137.0969082.\nAnswer: 137.0969082","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (5*sqrt(66)\/sqrt(3))\/(sqrt(66)\/sqrt(54)).\nAnswer: 15*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 1128148, 2256296, 3384444?\nAnswer: 4512592","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Find g such that -2*g**4\/7 - 90*g**3\/7 + 378*g**2 + 2906*g\/7 - 780 = 0.\nAnswer: -65, -2, 1, 21","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 61*z + 1 - 61*z + 0*z**2 + 5920*z**3 - 2*z**2.\nAnswer: 5920*z**3 - 2*z**2 + 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: -34b4ab (base 15) to base 5\nAnswer: -1121100221","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 4160 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: Suppose -94*c + 15*c + 12426 = 35*c. Calculate the remainder when 2615 is divided by c.\nAnswer: 108","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(s) = -7*s**3 + 36*s**3 - 4*s**3 - 5*s - 7*s**3 - 7 - 3*s**3. Let w(i) = 7*i**3 - 2*i - 3. What is -2*o(b) + 5*w(b)?\nAnswer: 5*b**3 - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: 801\/(-445)*(-3)\/9\nAnswer: 3\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*c = 5*i + 85, -2*c - 8*i = -7*i - 40. Let x(z) = -2 + 0 + c + 14*z - 6 - 6. Let n(d) = 5*d + 2. Calculate -17*n(l) + 6*x(l).\nAnswer: -l - 4","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -7840, -14301, -25066, -40135, -59508, -83185, -111166?\nAnswer: -143451","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (9 - (5 - (-19 + 7))) + 6.\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the tenth root of 10798 to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is (-90)\/24*12\/15*152\/6?\nAnswer: -76","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let w(z) = -z**2 + 5*z + 2. Let m be w(4). Calculate the remainder when m\/3*(-83)\/(-2) is divided by 28.\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 502 minutes before 1:33 PM?\nAnswer: 5:11 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let a(m) = 21*m - 2. Let r be a(4). What is r rounded to the nearest ten?\nAnswer: 80","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*f + 14 = -3*t + 2*t, 16 = 4*t - 2*f. Suppose 0 = t*z + 51 - 311. Suppose 3*o - 170 = z. What is o rounded to the nearest ten?\nAnswer: 100","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(x) = -16*x**2 - 20*x + 2. Let d(a) = -5*a**2 - 6*a + 1. Give 8*d(b) - 3*y(b).\nAnswer: 8*b**2 + 12*b + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -27281, -27355, -27415, -27455, -27469, -27451, -27395?\nAnswer: -27295","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let -y**2\/2 - 157*y\/2 + 3360 = 0. Calculate y.\nAnswer: -192, 35","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 3546729 and 2867172.\nAnswer: 9309","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 0 - 0. Suppose 4*z - 4*g = 0, w = z - 2*g + 5. List the prime factors of z.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 876871.07000048 + -876871. Let j = -1.4 - -1.47. Let d = j - h. What is d rounded to seven decimal places?\nAnswer: -0.0000005","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) -20 (b) 0 (c) -4\/351\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 0 or -29\/250?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: How many seconds are there in 1\/9 of a hour?\nAnswer: 400","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 89*b**3*g*v**2 - b**3*g + 18873*b**3*v - b**2*g - 22*b**2*v**2 - 5*b*g*v**2 + 12*b*g*v + 37*b*g + b*v**2 wrt b?\nAnswer: 534*g*v**2 - 6*g + 113238*v","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 77089132.\nAnswer: 2, 19272283","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(2548)*-3*-2 - sqrt(2548))*4)**2.\nAnswer: 1019200","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -3 + 18*u + 39189*u**2 - 40210*u**2 + 0 wrt u?\nAnswer: -2042","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 60731 to the power of 1\/2, to the nearest integer?\nAnswer: 246","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let j be -12*((-4)\/22 + (-48)\/99). Solve j = -3*p - 1 for p.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 13\/5 of a litre?\nAnswer: 2600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of 73, 137, 195, 247?\n\"Answer: -3*g**2 + 73*g + 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-162)\/(-11) + (-16 - -1)?\nAnswer: -3\/11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (-3)\/(-6) - (-198)\/(-4). Let x = -31 - y. Suppose 6*a = a + 90. What is the highest common factor of x and a?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1\/20 of a milligram in nanograms?\nAnswer: 50000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let a(f) = 4241*f**2 + 87*f + 177. Is a(-26) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(n) = -n**2 + 16*n - 23*n + n**3 + 5*n**2 - 2 + 3*n**2. What is the tens digit of c(-7)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 171 minutes after 9:01 AM?\nAnswer: 11:52 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 107 + -105. Let k(u) = 45 - 85 - b*u + 40. Let s(y) = y. Let c(r) = -2*r. Let i(h) = -3*c(h) - 8*s(h). What is k(i(q))?\nAnswer: 4*q","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let x(d) = -d**2 - d + 3. Let r be x(4). Let y = r + 31. List the prime factors of y.\nAnswer: 2, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 2*q**2 + 90*q - 68 + q**2 - 90*q in the form x*q + u*q**2 + s and give u.\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 3 + (5*sqrt(176) - sqrt(11)).\nAnswer: 3 + 19*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is 66819 at least as big as 66820?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 47 - 23. Let r = 9 + -4. Suppose 0 = -r*i - 10, -2*i + l = 7*h - 3*h. What is the units digit of h?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -2, 0, 248.\nAnswer: -2, 0, 248","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let x(b) = 166*b**2 - 710*b + 159. Calculate x(4).\nAnswer: -25","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the eighth root of 27388144 to the nearest integer?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Put 2, -22\/7, -4\/3, -1\/3 in increasing order.\nAnswer: -22\/7, -4\/3, -1\/3, 2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-180 + 215 - (15 - 0)) + -36.\nAnswer: -16","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (g**0\/g)**(-30)*(g**(-6)*g)\/(g*g**(-2\/11)*g*g*g) assuming g is positive.\nAnswer: g**(233\/11)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 92 + -87. Sort 4, 2, u, 0 in decreasing order.\nAnswer: u, 4, 2, 0","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.00240895 rounded to four decimal places?\nAnswer: 0.0024","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*k + 52 = 127. Let b = k - -27. Suppose -h = -5*x + 4, -3*h + 5*h + 8 = -4*x. Solve x = -6*f + 2*f + b for f.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 367.008 centimeters in kilometers?\nAnswer: 0.00367008","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 142580008?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let q(v) = v**3 + 10*v**2. Let n(w) = w**3 + w**2. Suppose 4*z - 18 = 6. Let f(y) = z*n(y) - q(y). What is the third derivative of f(l) wrt l?\nAnswer: 30","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -14891.611 to the nearest 1000.\nAnswer: -15000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: 3 divided by -32921\nAnswer: -3\/32921","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 405 is divided by 11.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {s: 1, l: 3, i: 2, t: 2, m: 4, r: 2}. Give prob of sequence limr.\nAnswer: 2\/1001","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 708 or 5?\nAnswer: 708","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Does 10 divide 7483111?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 54 and 144.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (1\/(-1) - 0) + -1. Let w = k + 5. Suppose 8*s - w*s - 35 = 0. Is s a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 15410150 and 1750.\nAnswer: 350","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -9 + -4 + 25 + 2 + -12 + -21?\nAnswer: -19","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth root of 1532 to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let d(y) = -y**2 - 2*y + 36. Determine d(5).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: How many years are there in three tenths of a century?\nAnswer: 30","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 80452575?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 j and 1 t when two letters picked without replacement from {j: 1, z: 1, u: 2, t: 1}?\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 12*x + 15*x = 648. Suppose -4 = b, -2*g - 29*b + x = -34*b. Suppose 0 + 0*j + 2\/3*j**3 - 10\/3*j**g = 0. Calculate j.\nAnswer: 0, 5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in 5, -0.013, 8\/4819, -0.1?\nAnswer: 8\/4819","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 8.70000069 - 8.7. Round h to 7 dps.\nAnswer: 0.0000007","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 60691\/4920 + -461\/41. Find the common denominator of q and -61\/25.\nAnswer: 600","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is nine sixteenths of a century in months?\nAnswer: 675","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -4*j**2*m**2 - 5*j**2 + 15*j*m**2 - 11 wrt m?\nAnswer: -8*j**2*m + 30*j*m","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -168, -1363, -4610, -10935, -21364, -36923, -58638?\nAnswer: -87535","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -0.1 - -127.1123.\nAnswer: 127.0123","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: 4474200 * 0.8\nAnswer: 3579360","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*c = -2*q + 187, q = c - 2*q - 55. Does 10 divide c?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -53 - 215*b**2 - 29 + 80 + (-2*b + 0 + 0)*(-2 + 2 - b) to the form j + g*b**2 + m*b and give g.\nAnswer: -213","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {v: 1, s: 2, o: 1, y: 2, d: 1}. What is prob of sequence ovs?\nAnswer: 1\/105","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*o = -2*o - 50. Suppose -5*d + 27 = -2*g, 2*g - 9 = -11. Put d, o, 0 in increasing order.\nAnswer: o, 0, d","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((p**(6\/11)\/p)\/p)**29 assuming p is positive.\nAnswer: p**(-464\/11)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -1746960.10000145 + 1746960. Let w = t - -0.1. What is w rounded to 7 decimal places?\nAnswer: -0.0000015","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o be 24\/3 + -2 + 1\/1. Suppose -z = o*z - 80. Solve -18 = 4*u - z for u.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 100715 - 96007 = -107*q for q.\nAnswer: -44","meta":{"dup_signals":{},"source":"algebra__linear_1d_test"},"subset":"dm_maths"} +{"text":"Question: Is 1385921 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*t - 3 = -9. Suppose u = 3*l + 148, 2*u - 559 = -t*u + l. Suppose -u = -4*g - 51. Is g a multiple of 11?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -84066346 divided by 2?\nAnswer: -42033173","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let g(o) = 2*o - 4. Let q be g(3). Differentiate -3 + 3 - 1 + q*f**2 with respect to f.\nAnswer: 4*f","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -186 = -0*a + 2*a. Let b(k) = k**3 + 20*k**2 + 15*k + 105. Let y be b(-19). Let p = y + a. Does 11 divide p?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*m + 25 = 17. Let c(z) = m*z - z - 3*z - z - 5*z. Let v(b) = -b**2 + 3. Let o(x) = -2*x**2 + 4. Let i(g) = 3*o(g) - 4*v(g). Give c(i(t)).\nAnswer: 12*t**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((v\/(v**(2\/5)\/v))**27\/((v*v\/(v**(3\/10)*v))\/v**(-1\/9)))**(2\/7) assuming v is positive.\nAnswer: v**(109\/9)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 61\/2 of a litre in millilitres?\nAnswer: 30500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 6202819 is divided by 136?\nAnswer: 131","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 9136?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (-1426)\/10 + 2 + (-24)\/(-40). Let y = b + 212. Let l(f) = f**3 + 7*f**2. Let j be l(-6). What is the highest common factor of j and y?\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*v = 10, v = 6*t - 3*v - 20. Let f = -17 - 1. Put f, 4, t, 1 in descending order.\nAnswer: 4, t, 1, f","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 81*o - 76*o - 7375. Suppose 4*h = 4*z + 1856, 4*z = -3*h - 118 + o. Suppose 10*r - 7*r = -3*x + h, 5*r + 10 = 0. What are the prime factors of x?\nAnswer: 5, 31","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (p**3*(p\/(p**(5\/11)*p))\/p*(p\/(p*p\/p**24))\/(p\/((p\/(p\/((p**(2\/37)\/p)\/p)))\/p)))**(33\/2) assuming p is positive.\nAnswer: p**(12576\/37)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 3649*u**4 - 8*u**3 + 3*u**2 + 1941*u - 1?\nAnswer: 87576*u - 48","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 0.04 or 88689?\nAnswer: 0.04","meta":{"dup_signals":{},"source":"comparison__pair_test"},"subset":"dm_maths"} +{"text":"Question: Is 900673 a multiple of 35?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 113\/5760 and -193\/10200?\nAnswer: 489600","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Convert 651a (base 12) to base 4.\nAnswer: 2231212","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let l(d) = -1186*d - 16585. Give l(-14).\nAnswer: 19","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let d(j) = j**3 + 13*j**2 + 39*j - 18. Calculate d(-6).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -470 + 638. Find the common denominator of 54\/m - (-6)\/63 and -137\/24.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -2 bigger than -20038376?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_test"},"subset":"dm_maths"} +{"text":"Question: 2610274 * -3\nAnswer: -7830822","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 490 minutes after 11:14 AM?\nAnswer: 7:24 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let m(w) = 3*w + 1. Let f(y) = 2*y. Suppose -2*g + 10 = -0. Let d(r) = g*f(r) - 4*m(r). Suppose 3*k = -7 - 8. Calculate d(k).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 33 (base 10) to base 16.\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence zzll when four letters picked without replacement from zhhhzhhlhhzhzlhhhhhl.\nAnswer: 1\/1615","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let b be ((-1)\/(-2))\/(3\/12). Suppose 0 = -5*t - 2*a + 21, 2*t + 2*a - 2 = -b*a. Solve t*n = n for n.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -814*o + 71683 = -23555 for o.\nAnswer: 117","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 143\/18 and 17 - 37198\/(-145152)*-66.\nAnswer: 1728","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 45\/(-36) + 235\/100 and -3\/160.\nAnswer: 160","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 21\/5 of a litre?\nAnswer: 4200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3*n**3 - 2*n**5 - 3*n**3)*(0 - 2 + 3) - 10*n**5 - 2*n**5 + 3*n**5.\nAnswer: -11*n**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*q = -4*i + 8, -124 = 3*i + 2*i + 13*q. Sort i, -5, 2, 6, 16.\nAnswer: -5, i, 2, 6, 16","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(p) = 337*p**2 + 3 - 334*p**2 - 4. Let u(q) = 2*q**2 - 3*q. Let h(c) = -3*m(c) + 4*u(c). Calculate h(-12).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 1190272141?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 5 or 6396190?\nAnswer: 6396190","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -2\/21? (a) -4 (b) -3\/5 (c) -17\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 71838471 is divided by 408173?\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is 186551 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Do 14 and 61 have different values?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 7881 and 296.\nAnswer: 37","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let b(x) = 1173*x**3 + 11*x**2 - 14*x + 3. Calculate the remainder when 3530 is divided by b(1).\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(o) = 2*o + 12 + 8*o + 3 - o**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: Let a(y) = -y**2 - 25*y - 70. Let n be a(-22). What is the closest to 2\/7 in n, 0.2, -8?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: 7abd (base 15) to base 2\nAnswer: 110010111000101","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-3*(sqrt(17) + (sqrt(17) + 0)*3 + 0) - (sqrt(153)\/(sqrt(9) + sqrt(45)\/sqrt(5)) + 3*sqrt(17)*-5))**2.\nAnswer: 425\/4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -0.9 + 0.81. Let h = f - 3.91. Let l = h - -3.99999965. What is l rounded to 7 dps?\nAnswer: -0.0000004","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 220 and 20?\nAnswer: 220","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: 32\/84*12\/(-8)\nAnswer: -4\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(c) = 14*c. Let r(j) be the second derivative of 14*j**3\/3 + 117*j. Let g(n) = 2*n. Let f(i) = -12*g(i) + r(i). Give a(f(d)).\nAnswer: 56*d","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 27276 and 4620.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let v(c) = c**2 - 11*c - 1. Let l(j) = 4*j**2 + 17*j - 8. Let r(w) = -w**2 - 5*w + 3. Let f(k) = 4*l(k) + 14*r(k). Let n be f(0). What is v(n)?\nAnswer: -11","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -120\/11 or -2\/3?\nAnswer: -120\/11","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 2.11? (a) 9 (b) -0.1 (c) 0 (d) -2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 6169 - 6209. What is the closest to 0.2 in q, 0, -0.2, 0.2?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 6*f = 7*f + 4 for f.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 x and 2 z when four letters picked without replacement from {x: 3, z: 13}?\nAnswer: 9\/70","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 77 minutes after 7:36 AM?\nAnswer: 8:53 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -161, -1542, -3849, -7088, -11265, -16386, -22457, -29484?\nAnswer: -37473","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 53c550 (base 16) in base 10?\nAnswer: 5490000","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Factor -68*h**2 + 14*h**3 - 6*h**3 + 8*h**3 + 52*h - 16*h + 72.\nAnswer: 4*(h - 3)*(h - 2)*(4*h + 3)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (q\/(q**(1\/18)\/q*q))\/(q*q**18) assuming q is positive.\nAnswer: q**(-325\/18)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -6*y**3 - 2*y**3 - 5*y**2 - 43*y**3.\nAnswer: -51*y**3 - 5*y**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*a - 2*a = -48. Let c be (-1 + 0)*(2 + -2). Suppose 0*i + i - a = c. What are the prime factors of i?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.0000011995273 rounded to seven decimal places?\nAnswer: -0.0000012","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -74\/207045 and -85\/58338.\nAnswer: 1342065690","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*o + 10 = 4*h, o = 3*h - 4*o - 5 for h.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let o be -2 - (-45)\/21 - (-183)\/(-23485)*44. Let p = 0.7 + -1. Which is the closest to -2\/9? (a) p (b) o (c) 1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -123 - -161. Calculate the highest common divisor of q and 380.\nAnswer: 38","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 49 + -48.5. Sort -1, -0.5, 0.3, v in decreasing order.\nAnswer: v, 0.3, -0.5, -1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -110 - 569427489.\nAnswer: -569427599","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: -2002212110 (base 3) to base 12\nAnswer: -1bba9","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*k + y = 2*y - 4, 6 = 4*k + 2*y. Let v be -6*k*(-5)\/10. Suppose v*i = -g + 21, 5*i + 2*g - 39 + 3 = 0. Is i even?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(y) = y - 1. Let m(z) be the first derivative of z**2\/2 - 100. Give -k(a) + 3*m(a).\nAnswer: 2*a + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -1\/4 in 0.5, -31\/7, 1\/3, -2?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0 + 1 + -2 - -4.\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Convert 21211303201 (base 4) to base 9.\nAnswer: 4651674","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -728300*f**3 - 497608.\nAnswer: -2184900*f**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) -2 (b) 2\/149 (c) 63 (d) 438 (e) 3 (f) 0.3\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -3*u**2 + 2715042676 - 2715042676.\nAnswer: -3*u**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of 27066, 27148, 27262, 27426, 27658, 27976, 28398, 28942?\n\"Answer: 3*p**3 - 2*p**2 + 67*p + 26998","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is z in -5*z**4 + 520*z**3 - 4315*z**2 + 3800*z = 0?\nAnswer: 0, 1, 8, 95","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -c = -2*c + 3. What is b in -3*b**4 - 23*b**3 + 19*b**c + 5*b**4 = 0?\nAnswer: 0, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -2\/15 in -0.5, -1, -0.4?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose w - 3*c = -6*c + 8, 2*c - 12 = -4*w. Let u(d) be the first derivative of 0*d**w + 2 + 0*d + 0*d**3 - 1\/18*d**4 + 2\/45*d**5. Factor u(i).\nAnswer: 2*i**3*(i - 1)\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 1436?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Put 26, -18, -1, 1, -3, -4 in decreasing order.\nAnswer: 26, 1, -1, -3, -4, -18","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let n(a) = a**2 - 9*a - 3*a - a - 8 + 5*a. Suppose 0*m - 24 = 4*m. Let k be n(m). What is k rounded to the nearest 10?\nAnswer: 80","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 84982.31 nanograms to micrograms.\nAnswer: 84.98231","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {l: 6, p: 1, i: 9, j: 2}. What is prob of sequence iij?\nAnswer: 1\/34","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Find r such that 797351*r**5\/3 - 24202237*r**4\/3 - 16241738*r**3\/3 + 7984918*r**2\/3 - 257551*r + 93 = 0.\nAnswer: -1, 1\/2759, 3\/17, 31","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 1975 and 325?\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let r(f) = -2*f. Let o(p) = -11*p - 199. Let h(v) = 23*v + 402. Let k(z) = 4*h(z) + 9*o(z). Calculate k(r(d)).\nAnswer: 14*d - 183","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((s*s\/(s*(s*s**0)\/s*s))**(-1\/4))**48 assuming s is positive.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -2 - -2. Suppose j*k - 2*k + 6 = 0. Let u be (k\/(-1))\/3 - -1. Solve -v - v = u for v.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 5 + 1. Calculate the highest common factor of 1 and h.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 25583*s - 169 - 10937*s + 169 in the form y*s + p and give y.\nAnswer: 14646","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 29, 75, 141, 233, 357, 519, 725, 981?\nAnswer: 1293","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 30*l - 35*l - 3*s - 125 = 2*s, 24 = -s for l.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 30306, 60613, 90924, 121239?\nAnswer: 151558","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:29 AM and 10:56 AM?\nAnswer: 327","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: -9693*-4\nAnswer: 38772","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-28 - (-23 - -7)) + -12 + 15.\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Put -2, 2, 2\/59 in increasing order.\nAnswer: -2, 2\/59, 2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is 30112 - -230311?\nAnswer: 321023","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let n(g) = -3*g**2 + g + 15. Let v(b) be the second derivative of -b**4\/6 + b**3\/6 + 7*b**2\/2 - b + 4417. Calculate 3*n(j) - 5*v(j).\nAnswer: j**2 - 2*j + 10","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let n be -1*(-3)\/(-5) + 1. Suppose -2*s = -4*d - 12, d - 3*s = 4*d. Let m be ((-12)\/(-42))\/((-5)\/(-7)). Which is the closest to m? (a) 2 (b) d (c) n\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (179 - 51 + 95)*(4*u**2 + 11*u**2 - 7*u**2).\nAnswer: 1784*u**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of -921215, -921185, -921157, -921137, -921131, -921145, -921185?\n\"Answer: -o**3 + 5*o**2 + 22*o - 921241","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*k + 5*f = 19 - 140, 0 = -5*k + f + 165. Let h = -76 + 265. Calculate the remainder when h is divided by k.\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of -104, -115, -134, -161?\n\"Answer: -4*o**2 + o - 101","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Express 36*t - 36*t - 22*t**2 + 2 - 2 - 7*t**2 + t**2 - t**2 - 2*t**2 + (6*t - 2*t - 2*t)*(-1 + 1 - t) in the form s*t + k + h*t**2 and give h.\nAnswer: -33","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let q be -9 + 290\/8 - 1\/4. Let z(v) = -v**3 + 28*v**2 - 28*v + 38. What is the remainder when 16 is divided by z(q)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -96981*a**3 - 77192 wrt a?\nAnswer: -290943*a**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-9)\/(((-5985)\/(-10))\/19)?\nAnswer: -2\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let k(f) = f**2 - 5 - 10 - 2 + 2. List the prime factors of k(-8).\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 3 + (sqrt(14)\/sqrt(2) + sqrt(7))*6 + 4 + (sqrt(7)*-1 - sqrt(7))**2 + -1 + (sqrt(14)\/sqrt(2))**2.\nAnswer: 12*sqrt(7) + 41","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Factor -6\/7*s + 0 - 8\/7*s**2.\nAnswer: -2*s*(4*s + 3)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 0, -4, -2\/23, -42087, -1, 2\/9 in increasing order.\nAnswer: -42087, -4, -1, -2\/23, 0, 2\/9","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence dd when two letters picked without replacement from hvcjdpccpdchdcvccdpc.\nAnswer: 3\/95","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is 161110 a multiple of 52?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is 11043064 a multiple of 197?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there in 3\/8 of a week?\nAnswer: 3780","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 q and 2 d when four letters picked without replacement from {q: 2, x: 6, d: 9}.\nAnswer: 9\/595","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Put -4, -1, 26, 2 in decreasing order.\nAnswer: 26, 2, -1, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let h(c) = c**2 + 3*c - 28. Suppose -n + 489 = 496. Calculate h(n).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does -5401\/56 = -95?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (11\/132*-524)\/1*60\/20?\nAnswer: -131","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Does 30 divide 9839940?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_test"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*u - 48 = 4*v - 145, 47 = 2*v - 3*u. Calculate the remainder when 47 is divided by v.\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (136\/((-12)\/(-3))*(-4)\/8)\/1.\nAnswer: -17","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 937.87 + -933. Let j = t - 4.67. Is j less than 45\/8?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*d**2 - 579*d - 11286 = 0. What is d?\nAnswer: -171, -22","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*m + m + 12. Let p(a) = -a**2 + 10*a - 2. What is the remainder when 2\/m - 238\/(-6) is divided by p(8)?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 61*x**2 - 61*x**2 - 3 - 1174*x**3 + 116*x - 118*x as b*x**2 + c + l*x + p*x**3 and give b.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: -415 divided by 415\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Round -2812.35 to the nearest 10.\nAnswer: -2810","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is 505 + -2?\nAnswer: 503","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*k - 10 = 10. Put 1, -5, k in ascending order.\nAnswer: -5, 1, k","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of 99, 195, 279, 345, 387?\n\"Answer: -z**3 + 103*z - 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 304229 is divided by 99612.\nAnswer: 5393","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 1917269?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Do 1635153 and -1 have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let b(z) = -2*z**2 - 2171*z - 52777. What is b(-25)?\nAnswer: 248","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:56 AM and 3:06 PM?\nAnswer: 490","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 43062065 to the nearest integer?\nAnswer: 6562","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: How many years are there in one fifth of a decade?\nAnswer: 2","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (t*t**6*t*t\/t**(-1\/9)*t*(t\/((t*(t\/((t*t*t**(-4\/5))\/t*t))\/t*t)\/t))\/(t**2\/t))\/((t**(-1\/4))**(-18)\/(t**0\/t**(-1\/2))) assuming t is positive.\nAnswer: t**(284\/45)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-14 - 12 + 11)*(-2*w - w + w) to the form z + s*w and give z.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -8642 - -9373. Calculate the greatest common divisor of 473 and g.\nAnswer: 43","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(k) = -2*k + 9. What is r(0)?\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 11 - 7. Suppose 2*d - 3*i - i - 1319980 = 0, 0 = k*d + 4*i - 2640020. Round d to the nearest 100000.\nAnswer: 700000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is -1101000110010111000011 + 1000?\nAnswer: -1101000110010110111011","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -0.25 + 0.05. What is the nearest to 0 in 1\/4, f, -5?\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(p) = 2*p**2 + 2. Suppose 3*a = 2*f + 3*f + 3, 3*f - a = -5. What are the prime factors of s(f)?\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(c) = 51*c**2 + 1. Suppose 0 = -3*k + 10 + 2, -2*g = -2*k + 2. Suppose -g*t + 15 = 5*o + 1, -o = 5*t - 16. List the prime factors of n(o).\nAnswer: 2, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: -19345+-26\nAnswer: -19371","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*o - 3 = -t, -60*t = -5*o - 61*t - 90 + 91 for o.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 78, 184, 288, 390, 490, 588?\nAnswer: 684","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 288 is divided by 38?\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: -10120 (base 3) to base 14\nAnswer: -6c","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 168285727 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is 24313531 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Convert 15559 (base 16) to base 3.\nAnswer: 11102212111","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth root of 31586 to the nearest integer?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is -23 + (-5 - (1 - 10)) + 130 + -132?\nAnswer: -21","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Does 24 divide 10673?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 405327 to the nearest integer?\nAnswer: 74","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-8*n + 3*n**2 + 8*n + (4*n**2 + 2 - 2)*(1 + 1 + 1) + n**2 + n - n)*((-4*n + 6*n - n)*(-4 + 1 + 2) + n - 4*n - n)*(-1 + n + 1).\nAnswer: -80*n**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is (40 - 48) + 8\/1?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Put -0.9, -0.09, -0.1 in ascending order.\nAnswer: -0.9, -0.1, -0.09","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is -2679.3588 rounded to 0 dps?\nAnswer: -2679","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 105*s = 134*s + 29. Let j(o) be the third derivative of 31*o**5\/30 + o**4\/6 + o**3\/3 + o**2. List the prime factors of j(s).\nAnswer: 2, 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 1493043 + 6*z**3 - 497790 - 497463 - 497790.\nAnswer: 6*z**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (1 + -3)\/(-2) - 22. Let j = m + 29. Solve 2*y + j = 0, w = 5*w - 5*y - 28 for w.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (((-21)\/10)\/(-7))\/((-2)\/5).\nAnswer: -3\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 110255746.\nAnswer: 2, 19, 1231, 2357","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve 125*b + 18*b = 75*b + 1428 for b.\nAnswer: 21","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let o(b) = 42*b**3 + 34*b**2 + 5*b - 31. Let m(c) = 21*c**3 + 15*c**2 + 2*c - 12. Calculate -5*m(h) + 2*o(h).\nAnswer: -21*h**3 - 7*h**2 - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 327 - 183. Let g = 1011\/7 - r. Which is the second smallest value? (a) 5 (b) 1\/2 (c) g\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 13279574?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (-26)\/(-7) - (-6)\/21. Suppose 46 = 3*a + s, -2*a - 21 = -3*s - 59. Solve 0 = 2*h - 2*n - w, -5*h + 3*n - n = -a for h.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -3*((3*sqrt(2736) + 1 + (sqrt(2736) - (sqrt(2736) + 1 + 4)) + sqrt(2736) + 5)*-2*4)**2.\nAnswer: -8405184 - 18432*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 41 is divided by 57\/5 + (-16)\/40?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = v + 5*v + 18 for v.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let s(u) = -3*u - 2. Suppose p - i - 2*i + 15 = 0, -7 = -3*p - 4*i. Let q be s(p). Let j(h) = h**3 - 8*h**2 + 7*h + 6. What is the units digit of j(q)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 29211407?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 74410490.7ms in weeks?\nAnswer: 0.12303321875","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Sort 278, 63, 204 in increasing order.\nAnswer: 63, 204, 278","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve 771*d + 40494 + 9481 = 3715 for d.\nAnswer: -60","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0.08? (a) -137 (b) -1\/4 (c) 1\/4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 1.16 and 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let 5*s**5\/3 + 3040*s**4\/3 + 35930*s**3\/3 + 101260*s**2\/3 - 35935*s\/3 - 104300\/3 = 0. What is s?\nAnswer: -596, -7, -5, -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is -5584092 divided by 2649?\nAnswer: -2108","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 10*(-363)\/(-770)*-7?\nAnswer: -33","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 54 and 22127490?\nAnswer: 66382470","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -79, -166, -263, -376, -511?\nAnswer: -674","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence voov when four letters picked without replacement from ovhllylolvv?\nAnswer: 1\/660","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: -9233 - 4229.22\nAnswer: -13462.22","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -35 + 40. Solve 4*s = -3 - a for s.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find j, given that -20*j**4 + 4*j**5 + 25*j**4 + 35*j**4 + 320*j**2 + 128 + 160*j**3 + 320*j = 0.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: 4.85623393 - -80\nAnswer: 84.85623393","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -437102, -873830, -1310558, -1747286, -2184014, -2620742?\nAnswer: -3057470","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: 40\/(-4) + ((-670)\/(-28))\/((-1050)\/(-420))\nAnswer: -3\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let g be ((-2)\/4 - 0)*-8. Suppose 5*d - 2*c = -3*c + g, 2*d = -3*c + 12. Suppose z + 13 - 13 = d. Solve -3*k - m - 7 = 0, 5*m = 2*k - z - 1 for k.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is b in -7*b**4\/5 - 58*b**3\/5 + 292*b**2\/5 - 248*b\/5 - 96\/5 = 0?\nAnswer: -12, -2\/7, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8 = -i - 3*i. Let o(p) = -16*p**2 + 2*p - 6. Let y(c) = -31*c**2 + 4*c - 11. Let m(r) = 5*o(r) - 3*y(r). Is 17 a factor of m(i)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 11*g**2 - 5*g**2 + 2 - 8*g**2 + 53*g + (4*g - 5*g + 3*g)*(-g - 4*g + 4*g).\nAnswer: -4*g**2 + 53*g + 2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let y(f) = -f**3 - 3*f**2 + 2. Let t be -11 + 3312\/304 - (-148)\/(-38). Suppose 0 = 4*h + 5*g - 13, g + 3*g - 8 = -2*h. Let p = t + h. What is y(p)?\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 10 a factor of 550174?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1768908 is divided by 45?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let c(b) be the second derivative of -3\/2*b**3 - 30557\/12*b**4 - b**2 + 0 - 2*b. Let g be c(-6). Round g to the nearest one million.\nAnswer: -1000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(t) be the first derivative of -1\/2*t**4 + 0*t**2 - 1 + 0*t + 2\/3*t**3. What is the third derivative of g(l) wrt l?\nAnswer: -12","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in 2\/135, 10, 9\/4, 3\/7?\nAnswer: 2\/135","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is 124774 a multiple of 7?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 309\/2060*(-8)\/2?\nAnswer: -3\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let m be ((-975)\/(-105) + -9)*(-21)\/(-9714). Is m smaller than 2?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -t + 3*x + 15, 5*t + 0*x = -x + 139. Calculate the highest common divisor of t and 18.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(w) = -2*w**2 + 9*w - 2. Let a be g(5). Let o(y) = -3*y - 21. Let p be o(a). Calculate the remainder when p\/9 + (-43)\/(-1) is divided by 22.\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*y + v + 103 = 0, 5*y = 4*y - 3*v - 29. What is the units digit of (4\/3)\/(y\/(-30))?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 488 is divided by 155?\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 20427 - 7937*x**3 - 20427.\nAnswer: -7937*x**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {s: 3, j: 1, n: 4, b: 2, g: 3, h: 2}. Give prob of picking 2 h.\nAnswer: 1\/105","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 715 minutes before 2:29 PM?\nAnswer: 2:34 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate i**2 + 2547*i + 5109 with respect to i.\nAnswer: 2*i + 2547","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: -204154000 (base 6) to base 10\nAnswer: -3560976","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3*r + 0*r - r)*(-6*r + 20*r - 8*r) + 5*r**2 - 6*r**2 - 2*r**2 + (-2 + 1 + 3)*(-r**2 - 4 + 4).\nAnswer: 7*r**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 1258253071 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let a(l) = 18*l**2 + 6*l + 17. What is the units digit of a(-3)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (g**(1\/33)\/g**12)\/(g**24\/(g\/(g*g**23)*g)) assuming g is positive.\nAnswer: g**(-1913\/33)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (2*1*sqrt(56))\/(-1*sqrt(128)).\nAnswer: -sqrt(7)\/2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: How many centuries are there in 1178.978 decades?\nAnswer: 117.8978","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -10672 + 10671. Let g be 4\/(-18) - ((-44)\/117 + 0). Which is the third smallest value? (a) 3\/16 (b) -3\/8 (c) g (d) j\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (4 + (-3 + sqrt(50) - (2*sqrt(288) + sqrt(288) - sqrt(2))))**2.\nAnswer: -60*sqrt(2) + 1801","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -1? (a) -4 (b) -118 (c) -1 (d) 1\/7 (e) 6\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 304 and 52002848?\nAnswer: 304","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is -8 - ((2 - -27) + -12)?\nAnswer: -25","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -2*(sqrt(68)*-2 + 5 + -2) + -2.\nAnswer: -8 + 8*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Determine t so that 3*t**3 - 1020072*t**2 - 1020081*t + 2040150 = 0.\nAnswer: -2, 1, 340025","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (5\/5 - 1)\/2. Solve -5*u - 4*i = 4, u - 4*i + y*i + 20 = 0 for u.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -73 + 103. Suppose 6*n - p = 4*n. Solve n = -v + 4*v for v.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -3177 take away -135?\nAnswer: -3042","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let g(s) = 28*s**2 - 2*s + 35. Calculate the remainder when g(-4) is divided by 38.\nAnswer: 35","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*a - g = -0*a - 49, 5*a + 3*g - 87 = 0. Let r be ((-21)\/(-6) - 1\/2) + 1. Solve -3*w = r*y + a, -y + 4*w + 2 = -w for y.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -68*h**2*s**3 - 13*h**2*s**2 - 67*h**2*s + 280*h*s**3 - 488*h - 101 wrt h?\nAnswer: -136*s**3 - 26*s**2 - 134*s","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*w - 246652*g + 246676*g = -14, 0 = -3*w + 5*g + 46 for w.\nAnswer: 22","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let u(g) = 44*g. Let z(p) = 9*p**2. What is z(u(v))?\nAnswer: 17424*v**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Does 37 divide 126615458?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*p - f - 2670 = 0, 0 = 2*p - 4*f - 1078 - 264. Calculate the highest common factor of p and 46.\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: 255571 (base 9) to base 6\nAnswer: 3153401","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -1451 + 4279. List the prime factors of j.\nAnswer: 2, 7, 101","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 6688 and 465344?\nAnswer: 352","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -108480*p + 54246*p - 18*p**2 + 54234*p.\nAnswer: -18*p**2","meta":{"dup_signals":{},"source":"polynomials__collect_test"},"subset":"dm_maths"} +{"text":"Question: What is 48612 take away 1?\nAnswer: 48611","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -1\/36 and 137\/173775444.\nAnswer: 521326332","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*o - 3 = -14*f + 15*f, 0 = f - 1 for o.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: (18 - -7) + 17 - 22\nAnswer: 20","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-4*z**4 - z**4 + 4*z**4)*(-7 + 4*z - 25 + 10 + 1).\nAnswer: -4*z**5 + 21*z**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -277 - -618. Is p prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 472443 and 184.\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is 4 a factor of 469131?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (g + 2 - 2)*(288*g - 670*g + 275*g) + g**2 + 0 - 4 + 3 to the form w*g**2 + o*g + x and give x.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let a(g) be the second derivative of -47*g**4\/12 + 5*g. Let k(l) = l. What is a(k(z))?\nAnswer: -47*z**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 387\/234 + (42\/4)\/(-7).\nAnswer: 2\/13","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-1)\/(-3) + (40\/12)\/(-5).\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -10.2 + 76.2. Let z = -66.1 + u. Sort 1\/8, z, -4.\nAnswer: -4, z, 1\/8","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j be 2\/(1\/4*2). Let z(n) = -2*n**2 + 9*n - 4. Let o be z(j). Suppose o*l - 85 = -l. Is 30 a factor of l?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) 0.3 (b) 368\/57 (c) -5 (d) 1 (e) -0.2\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is -11 - 104331413?\nAnswer: -104331424","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let l be 4\/3*(-15)\/(-10). Suppose 5192 = -354*i + 590*i. Solve c = -5*j - i, -l = 5*c + 2*j - 7 for c.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 53 - 49. What is the lowest common multiple of 2 and c?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(h) be the second derivative of -26*h**3\/3 + 10*h**2 - 3*h - 10. What are the prime factors of b(-7)?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*c**2\/19 - 4860*c\/19 - 2952450\/19.\nAnswer: -2*(c + 1215)**2\/19","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is 11200313 - 3?\nAnswer: 11200310","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 19896 is divided by 47.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {q: 6, l: 3, k: 5, p: 3}. What is prob of picking 1 k and 1 q?\nAnswer: 15\/68","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is 940947251 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -152 + 277. Is 29 a factor of r?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*w**3\/9 + 228286*w**2\/9 - 913168*w\/9 + 101464.\nAnswer: 2*(w - 2)**2*(w + 114147)\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*n - 11*n - n + 16 = 0 for n.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {t: 7, v: 1}. What is prob of sequence tt?\nAnswer: 3\/4","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -142324*a*n**2 + 3*a*n - 254*n + 15 wrt n?\nAnswer: -284648*a","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Expand (96*i - 96*i - 23*i**3 + 0*i**3 - 2*i**3 + i**3 + (-4 + 4 + i**2)*(-3*i + i + i))*(-i - 1 + 1).\nAnswer: 25*i**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Sort -2311, 2.8, 4, 7\/4 in decreasing order.\nAnswer: 4, 2.8, 7\/4, -2311","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -97\/140 and -34\/1583855.\nAnswer: 6335420","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 3 + (0 + (sqrt(5445) + 2 - sqrt(5445)))**2.\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Factor -3*w**3 + 8397*w**2 + 3334563*w + 310672563.\nAnswer: -3*(w - 3161)*(w + 181)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is -5\/296 at most 0?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from xxyopyrkk. Give prob of picking 1 o and 1 y.\nAnswer: 1\/18","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let d(r) = -2*r + 1 + 3*r**2 + 62*r**3 - 3*r**2 + r**2. Is d(1) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -2*d**2*i**3*q**2 - 54*d**2*i**2*q**2 - 8*d*i**2 + 2*i**3*q**2 - 2*i**2*q**2 wrt d.\nAnswer: -4*i**3*q**2 - 108*i**2*q**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let t(l) = -7*l - 8965 + 8965. Let i(n) = 13*n. Let b = 28 - 39. Give b*t(d) - 6*i(d).\nAnswer: -d","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let -25*w**3 + 115*w**2 - 135*w + 45 = 0. Calculate w.\nAnswer: 3\/5, 1, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve 103*i + 965 + 1404 = 147*i + 521 for i.\nAnswer: 42","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Divide 115078795 by 6533.\nAnswer: 17615","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 218*w**2 + 66.\nAnswer: 436*w","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 12 - 2.5. What is l rounded to the nearest integer?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -4967 + 4962. Let m(k) = -k**2 + 5*k - 21. Let w(c) = 3*c - 10. Let d(g) = -3*m(g) + 7*w(g). What is the remainder when d(q) is divided by 8?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(g) = -g**3 - g**2 + 10*g + 8. Let q be m(3). Which is the closest to -1\/2? (a) q (b) 3 (c) 4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of -54, -57, -50, -27, 18?\n\"Answer: f**3 - f**2 - 7*f - 47","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 6 < -15?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 1843 and 589.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let q be 2\/3 + 189\/81 + 1022. Differentiate -833 + 8*g + q - 3*g - 4*g**3 wrt g.\nAnswer: -12*g**2 + 5","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*s**3 - 29856*s**2 + 328053*s = 0 for s.\nAnswer: 0, 11, 9941","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let z(s) = -2365*s - 35482. What is z(-15)?\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*i**2\/5 - 64*i\/5 - 136\/5.\nAnswer: 2*(i - 34)*(i + 2)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 4 + -234*(-2 - -1)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-3)\/(-16)*(-8 - (3 - 7))?\nAnswer: -3\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is 18794023 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*s + 6*s - 16. What is a in -308*a**s + 303*a**2 - 9*a - 6*a - 7 - 3 = 0?\nAnswer: -2, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {m: 12, b: 2, h: 3}. What is prob of picking 4 m?\nAnswer: 99\/476","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is 283933009 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let h(b) = -4*b - 7. Let k be h(-9). Suppose -l + 125 + k = 0. Suppose q = -q + l. Is q prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: 79 divided by -12\nAnswer: -79\/12","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Factor 3*f**3 - 12*f**2.\nAnswer: 3*f**2*(f - 4)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((n\/(n*n**2)*n)\/n)**(3\/5)*n**(2\/33)\/n*n*((n\/(n**9*n))\/n)\/n)**3 assuming n is positive.\nAnswer: n**(-2003\/55)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let l(c) = c**2 - 3*c - 2. Let t be l(4). Let n(o) be the second derivative of o**4\/12 + 16*o. Let j be n(t). Solve 5*f - 9 = -3*k - 1, -j = k for f.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m be 12\/48 - 70\/(-8). Suppose 4*k + 601 = 3*z, -m*k + 13*k = z - 611. Is -153 at most as big as k?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-15*d - 4 + 4 + 2)*(3*d**3 + 225*d - 225*d).\nAnswer: -45*d**4 + 6*d**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let c(l) be the first derivative of -l**6\/51 - 2*l**5\/17 - 9*l**4\/34 - 14*l**3\/51 - 2*l**2\/17 - 64. Factor c(y).\nAnswer: -2*y*(y + 1)**3*(y + 2)\/17","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 6212033 by -8.\nAnswer: -6212033\/8","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 12\/(-15)*170\/(-68)*(-14)\/21?\nAnswer: -4\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (d**2 - 2*d**2 + 3*d**2)*(-3*d + d + 0*d)*(2 + 4 - 4)*(29 + 81 + 189) to the form h + z*d**2 + t*d**3 + w*d and give t.\nAnswer: -2392","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Expand (4 + 3 + 4)*(2*b + 0*b + 0*b)*(b - 4 + 4).\nAnswer: 22*b**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 52388717 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 2*b**2*g - 7*b**2*o**3 - 155*b**2*o - 2*b**2 + 18*b*g*o**3 + 2*b*g + 4*g*o**3 - 10*g*o - 2*g wrt b.\nAnswer: 4*g - 14*o**3 - 310*o - 4","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 159 - -32. Suppose 1006 = 5*a + k. Is a a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-3)\/((-6)\/(-4))*5\/30?\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 62 a factor of 3596?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Expand a + 2*a - 2*a + (0 + 4*a + 0)*(6 - 1 + 0).\nAnswer: 21*a","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let z(p) = p**2 + 12*p + 13. Let d(y) = y**3 + 7*y**2 - 7*y - 2. Let s be d(-8). Let k be z(s). Let u be (28\/k)\/(4\/(-10)). Solve -u = -4*q + 6 for q.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(u) = -4*u**2 + 2*u - 2. Let g = 30 + -28. What is d(g)?\nAnswer: -14","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 0.0789424 tonnes to grams.\nAnswer: 78942.4","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of 8709, 14564, 20419, 26274?\n\"Answer: 5855*k + 2854","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Sort -134, 0.0331, 17 in descending order.\nAnswer: 17, 0.0331, -134","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is 273 a factor of 121485?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {i: 1, g: 1, e: 1, d: 1, m: 1}. What is prob of sequence md?\nAnswer: 1\/20","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let y(k) be the second derivative of 9593*k**4\/12 - 7*k**3\/6 - 4*k**2 + 2*k. Suppose -20 - 1 = -3*q. Let o be y(q). Round o to the nearest 100000.\nAnswer: 500000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-t + t + t)*(-20 - 35 - 178)*(22 - 10 - 11).\nAnswer: -233*t","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: How many kilometers are there in 86938.62 centimeters?\nAnswer: 0.8693862","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 88.\nAnswer: 2, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let c be 3 + -2*(-3 + 6). Let u(y) = -77*y - 10. What is the units digit of u(c)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.00025890076 rounded to seven decimal places?\nAnswer: -0.0002589","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -3*m**2*y - 3469971*m**2 - 27*m*y - 55677*y - 6 wrt y.\nAnswer: -3*m**2 - 27*m - 55677","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let l(w) be the second derivative of -13*w**3\/6 - 15*w**2\/2 + w. Let p(s) = -3*s + 0*s - 8 - 4*s. Suppose 0 = -j + 1 + 10. Give j*p(x) - 6*l(x).\nAnswer: x + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is q in -16*q**4 - 144*q**3 - 372*q**2 - 160*q + 192 = 0?\nAnswer: -4, -3\/2, 1\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 445 minutes after 2:57 AM?\nAnswer: 10:22 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Sort 11758, -3, 54 in decreasing order.\nAnswer: 11758, 54, -3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is 1246 + -41?\nAnswer: 1205","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*n - 4*m + 6 = 0, n + 5*m - 33 = -36 for n.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 3477733 - -103216695. Suppose 0 = 4*d + g - 8134428. Round d to the nearest one million.\nAnswer: -25000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -2\/7 in -0.357, 2, -0.1, 0.07, 0.5?\nAnswer: -0.357","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Divide -10922 by -2.\nAnswer: 5461","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 41673.13 millilitres in litres?\nAnswer: 41.67313","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let a(t) = -43 + t**2 + t**2 + 12 + 18 + 13. Let m(c) = 102*c**2 + 85*c - 85. Let o(y) = y**2 + y - 1. Let n(s) = -m(s) + 85*o(s). What is a(n(w))?\nAnswer: 578*w**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 114591770 rounded to the nearest one hundred thousand?\nAnswer: 114600000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (x**(-12)*x**(-3\/2)*(x\/x**(-3\/7))\/x**6)**(-4\/17) assuming x is positive.\nAnswer: x**(506\/119)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve 90202 = 1839*t - 45884 for t.\nAnswer: 74","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -1 in -7\/2, -1\/3, 779139?\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let x(s) = -s**3 - 6*s**2 + 5*s - 1. What is x(-7)?\nAnswer: 13","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((((s*(s**(-3)\/s)\/s*s)\/s)\/s**(-4))\/(s**0*s*s**(-2\/9)))**25)**(-34) assuming s is positive.\nAnswer: s**(5950\/9)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve 242*k = 3735 + 13205 for k.\nAnswer: 70","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 54 - 32 = -2*o. Let f = -42 - o. Let r = 36 + f. Solve r*m + 0*d + d = 5, -3*m + 4*d = -3 for m.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s be 1\/4*-4*(-21 + -2). Solve -3*h + 16 = -2*g - 0*g, -5*g - h = s for g.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (-8)\/1 + 868\/112. Which is the third smallest value? (a) -3 (b) 25 (c) n\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 5 + 71. Calculate the remainder when s is divided by 46.\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: -85 times -0.024\nAnswer: 2.04","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2069508807?\nAnswer: 3, 971, 236813","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -7 - 5. Is 3\/(o\/(-353)) - 3\/12 a multiple of 5?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(k) = k**3 - 4*k**2. Let o = 11 + -7. Let i be v(o). Suppose 2*a + 48 = 4*x, -4*x - a + 24 = 3*a. Solve x + i = 2*p for p.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(y) = -65*y + 26. Let l(f) = -2*f**2. Determine i(l(t)).\nAnswer: 130*t**2 + 26","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -821225 + 1869929357\/2277. What is the common denominator of 22\/207 and f?\nAnswer: 2277","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*d + 9*d = 0. Suppose -5*g + 3*g + 28 = 0. Suppose 5*w = -4*z + g, w + 1 = 3*z - d*w. Solve -s = q + z, 2*s - q - 5 = 5 for s.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 61\/284 and -14\/639.\nAnswer: 2556","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -61 and 0.13.\nAnswer: -7.93","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let i(c) be the third derivative of -29*c**4\/24 + 32*c**3\/3 + 20*c**2. Is 45 a factor of i(-4)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is -1b + -31496?\nAnswer: -314b2","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let l(x) = -x**3 + 5*x**2 + 4*x - 3. Suppose -10 = 2*o - 4*b, 5*o - 15 = -0*o + 2*b. What is the remainder when l(o) is divided by (40\/(-12))\/(3*(-4)\/18)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 3 - 1. Let q = 1869.08 + -1869.1. What is the nearest to -6 in y, -2\/11, q?\nAnswer: -2\/11","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence jwj when three letters picked without replacement from {w: 2, j: 7, f: 6}.\nAnswer: 2\/65","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -100138*h - 117554*h - 517357*h.\nAnswer: -735049*h","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (-9)\/((-90)\/(-20))*(-1 - -2). Let v be (s\/10)\/(656\/410). What is the second smallest value in 2, 3, 1, v?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (i\/((i*i**(-13)*i*i)\/i))**(1\/24)*(i*i\/i**10)**(8\/3) assuming i is positive.\nAnswer: i**(-125\/6)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 4080 and 19392?\nAnswer: 48","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Expand 2*r + r + 2*r + 0*r + 0*r + 2*r + r + r + 0*r - 3 - r + 3 + (4 + 2 - 4)*(-4*r + r + r) - 2*r + 3 - 3 - 423*r - 443*r + 1009*r.\nAnswer: 145*r","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*d + 3*h + 27 = 0, 0 = -d - 11*h + 14*h + 3. Let j be (46\/d)\/((-17)\/(-51)). Solve -20*k - 9 = -j*k for k.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -11 - -3 - 3 - -7?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 c when two letters picked without replacement from ccfpcpcpccppppcpc.\nAnswer: 7\/34","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let d be 5\/20 - 110\/8. Which is bigger: -15 or d?\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(c) = -c**2 + 6*c + 4. Suppose 2*a - 3*a = 0. Suppose p + 19 + 4 = 4*f, 5*f - 4*p - 15 = a. Calculate q(f).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -2797\/2 + 1398. Which is the third biggest value? (a) -4 (b) -2 (c) p (d) 1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(288)*-1 + sqrt(288) + sqrt(288))*-4)**2*5.\nAnswer: 23040","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let x(p) = 10*p**2 + p - 7. Let w(d) be the first derivative of -d**3\/3 + d - 2270. Determine -6*w(s) - x(s).\nAnswer: -4*s**2 - s + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let v(p) = 4*p + 2. Calculate the smallest common multiple of (-1 + 3 + -4)*-1 and v(2).\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 3\/(((-6)\/(-1))\/((-410)\/(-41))).\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from bbbggbbgbbgbgbbgbfb. What is prob of picking 2 g?\nAnswer: 5\/57","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 420626930 to the nearest integer?\nAnswer: 20509","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 4257 and 873?\nAnswer: 412929","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 2*p**2*v**3 - 751*p**2*v*w + 2*p**2*v - p*v**3 + p*v**2 + 2741*v**3*w - 539932*v**3 wrt w?\nAnswer: -751*p**2*v + 2741*v**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is -12\/12683 not equal to -1?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is -28b183a5 - 2?\nAnswer: -28b183a7","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (0 + sqrt(7) + 3 + -4)*5.\nAnswer: -5 + 5*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 12484 + -12486. Let c(y) = -5*y**3 - 4*y**2 - y + 4. What is c(a)?\nAnswer: 30","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: -30489 (base 10) to base 8\nAnswer: -73431","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let x(j) = j**3 - 15*j**2 - 28*j + 47. Is x(19) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 2480 - 19841\/8. Sort -0.11, 0.1, h, 5, -10 in decreasing order.\nAnswer: 5, 0.1, -0.11, h, -10","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y be 2\/6 + 1375\/33. Let z = y + -22. List the prime factors of z.\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 26, 17, 2, -19, -46, -79, -118?\nAnswer: -163","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 753246 to the power of 1\/2, to the nearest integer?\nAnswer: 868","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*u - 5*d + 6, 4*d + 2 = 3*u - 7. Suppose 3*r + 24 = 5*b - 99, 2*b + u*r = 45. Is 13 a factor of b?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -1\/4? (a) 1 (b) -4 (c) 13 (d) 0.0043\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 12195805 to the power of 1\/3, to the nearest integer?\nAnswer: 230","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3 + 5 - 1)*(2 + 3 - 2)*(12*a**2 + 5*a**2 + 3*a + 4*a**2).\nAnswer: 63*a**2 + 9*a","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7*o - 5*x = -5*o - 8, -o - 5*x = 1. Suppose -o = 3*d, 4*d - 8 + 28 = 4*l. Find i, given that -1\/3 - 2\/3*i - 1\/3*i**l = 0.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -5, -2, 8, 0, 1, -1 in increasing order.\nAnswer: -5, -2, -1, 0, 1, 8","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let x(i) = 1 - 8 + i + 4. Let c = -48194 - -48198. What is x(c)?\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence nn when two letters picked without replacement from {n: 2, x: 6}.\nAnswer: 1\/28","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: 0.6599+0.71\nAnswer: 1.3699","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is 1038311819 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -56 - -14. Is (-1)\/6 - (7987\/p + 3) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 409, 1647, 3711, 6601, 10317, 14859, 20227?\nAnswer: 26421","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -686 - -686.002756. What is m rounded to 4 decimal places?\nAnswer: 0.0028","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 65 - 41. Let a = z + 97. Let p = a - 69. Is p a multiple of 13?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: 1321 (base 4) to base 6\nAnswer: 321","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (88\/(-33))\/(1\/3). Let z = b - -23\/3. Sort 5, 0.2, z in descending order.\nAnswer: 5, 0.2, z","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of 1615, 6230, 13947, 24784, 38759, 55890, 76195, 99692?\n\"Answer: 3*p**3 + 1533*p**2 - 5*p + 84","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let v(r) = -r - 87. Calculate v(-66).\nAnswer: -21","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.2 plus -975376.707?\nAnswer: -975376.507","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Factor -1458*u**3 - 1412766*u**2 + 313954*u\/9 - 646\/3.\nAnswer: -2*(u + 969)*(81*u - 1)**2\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 6 and 48333?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1206954.\nAnswer: 2, 3, 7, 31, 103","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*b - 2 + 62 = -4*u, b + 3*u + 34 = 0. What is b rounded to the nearest integer?\nAnswer: -22","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -36 - -64. What is the highest common factor of 14 and b?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose b = y + 3*b - 1, 0 = -2*y + 4*b - 14. Let f = -1 - y. Solve f*x + 4 + 2 = 0 for x.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*g = 8*g + 44. Let l(c) = -c - 12. Let o be l(g). Is -2 not equal to o?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 26*34\/1547*(-21)\/(-10)?\nAnswer: 6\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is -4759700 rounded to the nearest 100000?\nAnswer: -4800000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in -1, 21.8, -3, -0.4, 0.2?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let m(s) = -14*s - 2. Let n(v) = 304*v**2 + 532*v + 798. Let i(a) = -a**2 - 2*a - 3. Let p(b) = 266*i(b) + n(b). What is m(p(k))?\nAnswer: -532*k**2 - 2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let k be 8\/40 - 14\/20. Let o(i) = 2*i - 5. Let q be o(4). Suppose 2*h + q - 1 = 0. What is the nearest to h in k, -1, 4\/7?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -54*(-3)\/4*(-208)\/468?\nAnswer: -18","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 1200*w = 1198*w + 457 - 113. Suppose d - 3*j = 6, d + 5*j = 3*d - 10. Suppose d = 12*t - 16*t + w. Is t a multiple of 5?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v be 68\/28 + (-18)\/42. Suppose 4*a = v*a + 760. Calculate the highest common factor of 20 and a.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 0.5 and -60882047.\nAnswer: -30441023.5","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 58 is divided by 26.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*c - 26 = 2*a, 4*a - c = -6*c - 13. Let h = 12 + a. Calculate the lowest common multiple of 7 and h.\nAnswer: 35","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 103 divide 32508?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 1.1 - 6.1. Let b be 128\/(-1152)*(-12)\/(-10). Sort -2\/131, -1\/12, b, o.\nAnswer: o, b, -1\/12, -2\/131","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(b) = 10*b**2 - 11*b + 12. Let m be u(6). Suppose 4*v - v = -f + 50, 5*f + v = m. What is the units digit of f?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence azz when three letters picked without replacement from zzzaaaaaaz.\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is 11 - 11311?\nAnswer: -11300","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 5 + -2. Let x(q) = 2*q - 2. Let j be (-3)\/5*30\/(-9). Let p(v) = -2*v + 3. Give j*p(r) + u*x(r).\nAnswer: 2*r","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*o - 160 = -5*c, -30*o = -34*o - 2*c + 148. Solve 5*l - o = -0*z - 2*z, -3*z = 2*l - 25 for z.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*k**3 + 1437142*k**2 + 51739056*k + 465657336 = 0 for k.\nAnswer: -18, 718607","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 0.2 + -0.2. Let t = -10.1 - -10.3. Suppose 3*n + 9 + 6 = 0. Which is the second biggest value? (a) t (b) n (c) f\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(k) = k**2 - 3*k - 13. Let f be h(-3). Find the second derivative of -39*w**5 + 19*w**5 + 9*w**4 - 9*w + 15*w**f wrt w.\nAnswer: -100*w**3 + 108*w**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is 304 + -6311290?\nAnswer: -6310986","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*q**3\/7 - 216*q**2\/7 + 7482*q\/7 - 82156\/7.\nAnswer: 2*(q - 47)*(q - 38)*(q - 23)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:55 PM and 1:16 AM?\nAnswer: 681","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in -1, -1\/5, -0.1, 0.07?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Sort -0.4, 2\/13, -75376 in ascending order.\nAnswer: -75376, -0.4, 2\/13","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 683*l - 658*l + 21 - 392*l**4 - 23 to z*l**2 + d + j*l + o*l**4 + i*l**3 and give o.\nAnswer: -392","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let w(g) = 5*g**2 - 2*g - 1. Let m be w(-1). What is the second derivative of -13*p + 2*p**3 - m*p - p - 2*p wrt p?\nAnswer: 12*p","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 18, -2\/3, -0.045, 0, -3 in decreasing order.\nAnswer: 18, 0, -0.045, -2\/3, -3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 4390130753.\nAnswer: 4390130753","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is -13094 times 3552?\nAnswer: -46509888","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4496 = 4*f - 3*a, 161*a = -5*f + 157*a + 5620. Does 4 divide f?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(d) be the second derivative of -d**4\/12 - 2*d**3 - 11*d**2\/2 - 2*d. Let j be k(-12). Are -12 and j nonequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (1764\/(-441))\/((-16)\/(-6))?\nAnswer: -3\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is -2.329761726 rounded to 4 decimal places?\nAnswer: -2.3298","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let u(p) be the second derivative of p**3\/3 + 8*p. Let q = -102 + 111. Let g(l) = 56*l - q*l - 7*l. Determine u(g(d)).\nAnswer: 80*d","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 43 + -39. Let u = 6 + -3. Suppose u*a + 3*d = -a + 4440009, 2*a = p*d + 2219988. What is a rounded to the nearest one hundred thousand?\nAnswer: 1100000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -650*i + 323*i - 6*i**2 + 327*i.\nAnswer: -6*i**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 50924799*u**2 + 55557136*u wrt u?\nAnswer: 101849598","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 200144?\nAnswer: 2, 7, 1787","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -339 - -341. Let z(p) = -70 + 71 + 0*p - 3*p + c*p. Let j(r) be the second derivative of -r**5\/10 + r**3\/3 - 5*r**2\/2 - r. Give j(d) + 4*z(d).\nAnswer: -2*d**3 - 2*d - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let u be 3 + (-33)\/(-6)*18. Suppose 0 = 4*d - 2*d - u. Is d a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -218*g + 169*g - 6563060 = 0. What is g rounded to the nearest 10000?\nAnswer: -130000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the seventh root of 1647320 to the nearest integer?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence bf when two letters picked without replacement from {v: 3, l: 1, f: 4, n: 1, b: 2, c: 1}?\nAnswer: 2\/33","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is 73181 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve -482 + 4418 = -68*h + 560*h for h.\nAnswer: 8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -2\/7 in -5, 0.4, 0.1825, -2\/11, -4\/5?\nAnswer: -2\/11","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Work out 576352017 - -14196.\nAnswer: 576366213","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-5 + ((sqrt(208)*3 + sqrt(208))*-5 + 5)*3*-2)*6.\nAnswer: -210 + 2880*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 87 + -22. Let f(q) = g*q**2 - q**3 - 64*q**2 + 0*q**3. Determine f(1).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 1 - -1. Suppose -12*h + 137 + 163 = 0. What is the smallest common multiple of y and h?\nAnswer: 50","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: (45*(-51)\/(-3825))\/(2\/200*2)\nAnswer: 30","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 934 is divided by 721?\nAnswer: 213","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of 1041011, 2082021, 3123031, 4164041, 5205051, 6246061?\n\"Answer: 1041010*n + 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 1 or -147\/965?\nAnswer: -147\/965","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from ecgeeccsccecvcg. What is prob of picking 1 c and 1 e?\nAnswer: 4\/15","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the tenth root of 3230572 to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1 divided by 3.\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 643 minutes before 1:33 AM?\nAnswer: 2:50 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 395823, 395818, 395811, 395802, 395791, 395778?\nAnswer: 395763","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-39 + 14 + 19)*(6*a**3 - 8 + 8)*(-3 + 3 - a) to the form i*a**2 + l*a**3 + f*a**4 + m + t*a and give f.\nAnswer: 36","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify g*g\/(g**(7\/3)*g)*g*g**(-1\/4) assuming g is positive.\nAnswer: g**(-7\/12)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -8*p**2 + 8*p**2 + 8*p**3 - 6*p**3 + 24.\nAnswer: 2*p**3 + 24","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let h(k) = -k**2 + 23*k + 95. Determine h(19).\nAnswer: 171","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from vvvvhvveevvehee. Give prob of sequence ehh.\nAnswer: 1\/273","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 408\/1691 + 18252\/8455. Suppose -w - 4*z - 4\/5*z**2 + 4\/5*z**3 = 0. What is z?\nAnswer: -1, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*a - 2*f = -4, 0*a - 10 = -a - 5*f. Suppose -3*c + 4*c + 456 = 5*s, -4*s - 3*c + 380 = a. What are the prime factors of s?\nAnswer: 2, 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 19.21860655 to 2 dps.\nAnswer: 19.22","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -4425 - 96*o**3 + 4425.\nAnswer: -96*o**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of 19, 37, 69, 121, 199, 309, 457?\n\"Answer: a**3 + a**2 + 8*a + 9","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 46225 and 33710.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let n(g) = -7*g + 98. Let s be n(14). Suppose -3772 = -5*o + m, -4*o + 0*m - 4*m + 3008 = s. List the prime factors of o.\nAnswer: 2, 13, 29","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (6*-6*1*sqrt(750))\/((sqrt(2688) + (sqrt(2688) - (sqrt(2688)*2 + sqrt(2688))) + sqrt(42))\/(sqrt(567) + 1*sqrt(567) - sqrt(567))).\nAnswer: 1620*sqrt(5)\/7","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:16 PM and 11:11 AM?\nAnswer: 715","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 0 - -6. Let w be 32*2*(-1)\/(-1). Suppose 8 = 2*p, 2*x = -2*x + 4*p + w. Calculate the least common multiple of x and z.\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -a + 0*a - 4*p + 391 = 0, 2*a - 812 = -2*p. What are the prime factors of a?\nAnswer: 3, 137","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((4\/10)\/((-39)\/325) + 3)*18?\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from ajjjjjjj. What is prob of picking 4 j?\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-19)\/(-15) + 33\/((-2805)\/(-34))?\nAnswer: 5\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 85012776.\nAnswer: 2, 3, 1180733","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 160*t + 138 wrt t?\nAnswer: 160","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -1 - 1 + 2095*a - 2085*a + 3 to the form t + d*a and give d.\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Round 4.751 to zero decimal places.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve -644 = -29606*x + 29620*x for x.\nAnswer: -46","meta":{"dup_signals":{},"source":"algebra__linear_1d_test"},"subset":"dm_maths"} +{"text":"Question: Let z be (-1 - -1) + 0\/5. Let a = z - -7. Is a a multiple of 7?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-9414)\/(-1569)*146\/(-12)?\nAnswer: -73","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 32 - 33. Calculate the remainder when 1\/t + (14 - -1) is divided by 9.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many months are there in 6\/25 of a millennium?\nAnswer: 2880","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from jxyczzjqccxyyc. Give prob of sequence jyqy.\nAnswer: 1\/2002","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 126 - -15903. Calculate the highest common divisor of 117 and r.\nAnswer: 117","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out -2321 - 1880.\nAnswer: -4201","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 380489 is divided by 7.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 83182.62 litres?\nAnswer: 83182620","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (-3 + 2)\/(1\/(-3)). Suppose 5*f - y = -4*y + 48, 3*f = 4*y + 23. Suppose f = t + b. What are the prime factors of t?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 535 minutes after 1:41 AM?\nAnswer: 10:36 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let o(g) = -g**3 - 31*g**2 - 34*g - 30. Is 9 a factor of o(-30)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of 57269, 229039, 515309, 916079, 1431349, 2061119, 2805389?\n\"Answer: 57250*b**2 + 20*b - 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let f be 2\/(-7) + (-2)\/(-7). Suppose 2*a + 0*a - j - 36 = f, 2*j - 47 = -3*a. What is the remainder when a is divided by 6?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 39\/1309 and 5\/119.\nAnswer: 1309","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 1914918, 1914938, 1914958, 1914978?\nAnswer: 1914998","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let m(a) = -a**3 - 3*a**2 - 3*a. Let y be m(-2). Let b(x) = 10*x + 1. What is the remainder when b(y) is divided by 11?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*w**3 - 15*w**2 + 843*w - 3465 = 0. What is w?\nAnswer: -21, 5, 11","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -44126118*g**4 + 24*g**2 - 814267*g wrt g.\nAnswer: -1059026832*g","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ysyj when four letters picked without replacement from {u: 2, j: 1, y: 1, b: 2, s: 1}.\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -185\/8 - -23. Let l = 10693\/23 - 465. Suppose 4 = 3*d + 2*q, -3*d - 8*q = -11*q + 6. Put i, l, d in decreasing order.\nAnswer: d, l, i","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 3 w and 1 v when four letters picked without replacement from {u: 3, v: 9, w: 4}.\nAnswer: 9\/455","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 39695176*s**2 - 124*s + 6641.\nAnswer: 79390352","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 383426394 to the nearest integer?\nAnswer: 19581","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: 526 (base 9) to base 11\nAnswer: 360","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 255 minutes before 11:38 PM?\nAnswer: 7:23 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 66652517 to the power of 1\/5, to the nearest integer?\nAnswer: 37","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -10*y + 5*y + 165. Let h = y - 31. Suppose 4 = h*a - 0. Solve 0 = -p - 2*w - 11, -2*p + 2 + 0 = -a*w for p.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 21410513?\nAnswer: 2459, 8707","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let p be ((-1)\/35)\/((-3)\/((-11205)\/(-18))). Which is bigger: 6 or p?\nAnswer: 6","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 366 and 60300?\nAnswer: 3678300","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from tkkkktkkkkkkkktk. What is prob of sequence ttk?\nAnswer: 13\/560","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Convert 1ba6f (base 16) to base 3.\nAnswer: 12202100221","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Express -3 + 199*y - 7*y**2 - 199*y - y**3 as z + v*y**2 + d*y + n*y**3 and give z.\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2640 = -1237*z + 1245*z. Which is smaller: z or -331?\nAnswer: -331","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*m - 3 = w, -2*w - 3*m + 3 = -0. Suppose 2*f + w*f - 4*u - 322 = 0, -f + 153 = -4*u. What are the prime factors of f?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1835.\nAnswer: 5, 367","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 4 p when four letters picked without replacement from {s: 2, p: 5}.\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let s be ((-360)\/90)\/(1\/(-6)). Let f(w) = -w**2 + 23*w + 29. Determine f(s).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -80372, -80194, -80016?\nAnswer: -79838","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 4439238141?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve -o - 2 + 18 = -2*w + 5, -7*o + 4*w = -27 for o.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_test"},"subset":"dm_maths"} +{"text":"Question: Suppose h - 2*h = 10. Let k(q) = -4*q**4 - 1 - q + 4*q**4 - q**5. Let z(r) = 4*r**5 - 2*r**4 - r**3 + 5*r + 5. Let t(s) = h*k(s) - 2*z(s). Factor t(f).\nAnswer: 2*f**3*(f + 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -1007, -995, -955, -875, -743, -547, -275, 85?\nAnswer: 545","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 8783609 a multiple of 43?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -34*l + 33*l - 118 = 0. Is (235\/((-35)\/7))\/(2\/l) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: 82330 times -0.02416\nAnswer: -1989.0928","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is 2861 a factor of 711130160?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in -10, 3\/8, 0, -18.5, -0.5, -1.2, -3?\nAnswer: -10","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let g(f) = -1590*f**3 + 4*f**2 - 2*f - 272. Let p(m) = 3*m**3 - 2*m**2 + m + 1. Let v(y) = -g(y) - 2*p(y). Differentiate v(h) with respect to h.\nAnswer: 4752*h**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_test"},"subset":"dm_maths"} +{"text":"Question: Let f(l) = -4*l + 4 + 0*l**2 - 1 + l**2. Suppose 0 = 26*c + 67 - 197. What is the smallest common multiple of f(c) and 6?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 4831, 6071, 7319, 8575, 9839, 11111, 12391?\nAnswer: 13679","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: -363.248 + -2\nAnswer: -365.248","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 359 minutes after 10:24 PM?\nAnswer: 4:23 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*p - 42 + 9. Let h(j) = 2*j**3 - 16*j**2 + 23*j - 19. Let q(d) = -d**3 + 8*d**2 - 12*d + 10. Let i(c) = p*q(c) - 6*h(c). Calculate i(7).\nAnswer: 11","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in 93, -2\/45, -5, 2?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (174*i - 353*i + 176*i - 7)*(-83 - 69 + 46) to s + w*i and give w.\nAnswer: 318","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let r(c) be the third derivative of -c**7\/945 - c**6\/12 - 22*c**5\/135 + 4*c**2 - 25*c. Factor r(g).\nAnswer: -2*g**2*(g + 1)*(g + 44)\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -4, -3, -0.2, 24\/9541, 466 in increasing order.\nAnswer: -4, -3, -0.2, 24\/9541, 466","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Round -3254.94941 to one decimal place.\nAnswer: -3254.9","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: How many years are there in 3\/10 of a millennium?\nAnswer: 300","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let n be ((-16)\/24)\/((-2)\/6). Suppose -n*h + 17 = -t + 2*h, -h = -2*t + 1. Suppose t*y = -0 + 9. Solve y*o + o = 16 for o.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of 4072, 4065, 4056, 4045?\n\"Answer: -h**2 - 4*h + 4077","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 502746?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -4 in 3\/4, -2085, -2\/3, 2\/13?\nAnswer: -2\/3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 9592 - 9583. Suppose -3*q = -3*g - 135, -q = -g + 2*g - 41. What is the remainder when q is divided by d?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_test"},"subset":"dm_maths"} +{"text":"Question: Rearrange (1790013 - 8034*k - 1790013)*(k - k + 3*k) to the form w*k + c*k**2 + b and give c.\nAnswer: -24102","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is -1 != 1\/154920?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose c + 57*g - 60*g = -2, 4*g = 5*c + 32. Let s be 1\/2 + (-2)\/4. Sort s, -5, c in increasing order.\nAnswer: c, -5, s","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 355749625 divided by 44275.\nAnswer: 8035","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (-4)\/8*(3 - 13). What is the third derivative of 28*p**5 - 28*p**b - 5*p**6 - 4*p**2 wrt p?\nAnswer: -600*p**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 2182 or 2162?\nAnswer: 2162","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: -15 + 1 + 15 + (0 - 0) + -14\nAnswer: -13","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 2353871 or 2353874?\nAnswer: 2353874","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*t - 3*t + 0*t)*(-27 + 32 + 51).\nAnswer: -56*t","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 37620 divided by 57.\nAnswer: 660","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*p - 4*z - 147, 17*z + 147 = 3*p + 15*z. Which is the second smallest value? (a) p (b) -5 (c) -1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(i) = 14*i. Let l(g) = 3 - 2*g - 14 + 11. What is o(l(h))?\nAnswer: -28*h","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 962982 and 9.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 2, 3, -8, -37, -90?\nAnswer: -173","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 39236115?\nAnswer: 3, 5, 61, 137, 313","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Does 66 divide 1188?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 10*u - 560 = -0*u. Calculate the highest common factor of u and 8.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -111767*z**3 - 464770*z - 1?\nAnswer: -670602*z","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -18*g - 78 = -1392. What is the first derivative of g*h**4 - 6 - 54*h**4 + 71*h**4 - 8 wrt h?\nAnswer: 360*h**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 58 + -62. Is 36031 - (-7 - 36\/s) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 4 + -3. Let g(m) = -15*m + 5. Let p(q) = 8*q - 3. Let y(d) = -3*g(d) - 5*p(d). Let t be y(a). Solve t*k + 3*x - 6 = 4, 2*k + 3*x = 4 for k.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -0.1, 2\/11, 1\/33, 1891.\nAnswer: -0.1, 1\/33, 2\/11, 1891","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let j(a) = -2*a**3 + 367*a**2 - 1151*a + 177132. Give j(183).\nAnswer: -12","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is -9672808 minus 0?\nAnswer: -9672808","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 189 and 34377.\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*g - f = -3*f - 7, 3*g - 5*f = 4. Solve -g*s = 2 + 10 for s.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (11*g**2 + 2*g**2 + 2*g**2)*(0*g + g + 0*g)*(2 - 4 + 0).\nAnswer: -30*g**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Find d such that -2942738*d**2\/3 + 3444920*d - 3024600 = 0.\nAnswer: 2130\/1213","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Divide 112424 by -598.\nAnswer: -188","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -z + 0 = -0. Let q(g) be the third derivative of 0 - 2*g**2 - 1\/24*g**4 + 0*g**3 + z*g. Let d(o) = 3*o**2. Give q(d(b)).\nAnswer: -3*b**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -258*x**4 - 19.\nAnswer: -1032*x**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Put -2\/1155, 390, 2\/9 in descending order.\nAnswer: 390, 2\/9, -2\/1155","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let q(r) = -265*r + r**3 - 269*r + 531*r + 2*r**2. Let i be (-21)\/9 - 4\/6. Give q(i).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 12469\/3 - 4167. Find the common denominator of g and 4 - 2 - (-36)\/33.\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -21*b + 6 = -v - 22*b, v - 4*b = -6 for v.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 368 and 52179766.\nAnswer: 9601076944","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (9\/(-27))\/(2\/6). Suppose -2*m + 3*x = -27, 5*x = -3*m - 0*x - 7. Let r(w) = -w + 7. Let f be r(m). Sort f, 3, a in ascending order.\nAnswer: a, f, 3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 3257732 is divided by 2156.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve -90*b + 86*b - 4*u + 8 = 0, b + 4*u = -4 for b.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 1681425*i + 6*i**2 - 3362875*i + 1681415*i.\nAnswer: 6*i**2 - 35*i","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is -9 - 24?\nAnswer: -30","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let r(b) = 43*b + 345. Determine r(-7).\nAnswer: 44","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Subtract 50884 from -4.\nAnswer: -50888","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let y(l) = -l + 1. Let r(j) = -4*j**3 - 3*j**2 - 3*j + 3. Let d(h) = 5*h**2 - 3 + 5*h**3 - h**2 + h + 2*h. Let u(a) = 3*d(a) + 4*r(a). Calculate -u(b) + 3*y(b).\nAnswer: b**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 468281 to the power of 1\/4, to the nearest integer?\nAnswer: 26","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let s(n) = n**2 - 5*n + 6. Let q be s(5). What is the units digit of (q\/(-15))\/((-1)\/5)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*l + 2*l = 30. Solve l*q = -2*j + 4 + 5, 3*j - 10 = -4*q for j.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 131 - 121. Let n = 92 - 4. Is c\/(-15) - n\/(-6) even?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -3\/22675 + -8321482\/1836675. Let y = 2\/81 - o. Find the common denominator of y and 52\/3.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -14, -12, -10?\nAnswer: -8","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -24\/35 or 0?\nAnswer: -24\/35","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 222296 is divided by 1168.\nAnswer: 376","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 131472 is divided by 131419?\nAnswer: 53","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:57 AM and 7:00 AM?\nAnswer: 123","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let h(u) = -16*u - 3. Let f be h(-2). Let q = -26 + f. Solve q = 4*z - 3*z for z.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (s**(4\/3)\/(s\/s**(-4)))**(2\/33)\/(((s**(-1\/3)\/s)\/s)**19*(s\/s**(-1\/4)*s)\/(s\/(s*s\/s**(-2\/7)*s))) assuming s is positive.\nAnswer: s**(9973\/252)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -22*l - 134 = -4*y - 24*l, 4*y = 2*l + 154. What is the remainder when 609 is divided by y?\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -1? (a) 1\/2 (b) 1 (c) -1\/4 (d) 0.02696\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let j(n) = -2*n + 2. What is the lowest common multiple of ((-16)\/6)\/((-1)\/3) and j(-4)?\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -141, -249, -327, -387, -441, -501, -579, -687?\nAnswer: -837","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_test"},"subset":"dm_maths"} +{"text":"Question: Expand (21 + 8 - 3)*(-b + b + 2*b)*(2*b + 3*b - 3*b).\nAnswer: 104*b**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve 121108*h = 121335*h - 24516 for h.\nAnswer: 108","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -10 + 13. Suppose -q*h - 3*y + 15 = -9, 5 = y. Suppose -3*d - o + 90 = 2*o, -d = 3*o - 24. Calculate the highest common factor of d and h.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(19) + sqrt(304))*2 + (sqrt(684) + 0)**2.\nAnswer: 10*sqrt(19) + 684","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (888 - 457 - 292 + (0 - 2 - 1)*(-2 + 2 - 2))*(0 - 164*z + 154*z + 3) to t*z + g and give g.\nAnswer: 435","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) 2.3 (b) -1\/6 (c) -0.2 (d) 40\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 6933.\nAnswer: 3, 2311","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*g - 4*u + 3969, -2*g = u - 2429 - 222. Is g a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -60216*k**3 + 2*k**2 - k + 346790?\nAnswer: -180648*k**2 + 4*k - 1","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 17506324.\nAnswer: 2, 11, 53, 7507","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-11 + 2)*(-13 + (-564)\/(-36))?\nAnswer: -24","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -l + 2*z = -5, 0 = 6*l - 8*l + 3*z + 8. Which is bigger: l or 1\/317?\nAnswer: l","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 28 + -30. Let i be b*82\/4 + 4. Let a = i + 54. What is the tens digit of a?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(v) = -v**3 + 13*v**2 - 47*v + 322. Determine i(10).\nAnswer: 152","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 203 + -203.2. What is the closest to 0.01 in w, -5, -4?\nAnswer: w","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -1994 - -7973\/4. What is the second smallest value in w, -1.31, -0.06?\nAnswer: w","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5 = 5*s - 15. Suppose -s*f = -1142 - 242. Is 7 a factor of f?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) -2.2 (b) -1 (c) 0.4 (d) 3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 2 and 128994.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 309 and 1030?\nAnswer: 3090","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 5086626531?\nAnswer: 3, 7, 59, 83, 49463","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is -195 times -3.9919?\nAnswer: 778.4205","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -70 + 68.75. Let k = h + 111.25. Let l = 110.356 - k. Round l to 2 dps.\nAnswer: 0.36","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*t - 15 = -0*r - 5*r, -2*t = -4*r + 6. Suppose -7*f + i = -r*f - 18, 4*i = -12. Suppose -56 = -5*q - 4*s, f*s + 1 = 2*s. Does 7 divide q?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 17940 a multiple of 26?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Round 623125 to the nearest 100000.\nAnswer: 600000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 13175262 and 11394?\nAnswer: 3798","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let h(y) = -5*y**3 + 29*y. Let r = 2 + 2. Let s(c) = -4*c**3 + 30*c. Let n(m) = r*h(m) - 3*s(m). What is the second derivative of n(u) wrt u?\nAnswer: -48*u","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(h) = -17*h - 13. Suppose 3*s + 4 = 22. Suppose -3*r = 2*w - s, w - 16 = 3*r + 2*r. Let j(k) = 8*k + 6. Calculate w*u(a) + 13*j(a).\nAnswer: 2*a","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 641*f**3 + 297*f**3 + f**2 - f**2 + 630*f**3.\nAnswer: 1568*f**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (9\/(-4))\/((-30)\/(-160)). Let d be (h\/10)\/((-3)\/5). What is the second derivative of -3*s**3 + 9*s**3 - 11*s + d*s**3 wrt s?\nAnswer: 48*s","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1 divided by 9073393?\nAnswer: 1\/9073393","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 1645 (base 8) in base 16?\nAnswer: 3a5","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 32\/5 of a litre?\nAnswer: 6400","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2154, 2, 5.\nAnswer: 2, 5, 2154","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 49\/15 and 103\/90.\nAnswer: 90","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let u(t) = t**2 + 9*t + 17. Let s be u(-8). Suppose 12*h - s = 9*h. Let k = 77.21 + -77. Put k, h, -1\/4 in decreasing order.\nAnswer: h, k, -1\/4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 10 + -9. Which is the closest to w? (a) -7 (b) -0.4 (c) 2\/3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*s - 5*g = 4, -1844*s - 48 = -1851*s + 2*g for s.\nAnswer: 8","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-5)\/15*-8)\/(48\/(-18) - -2)?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 0.1 + -2.1. Let r = -39\/4 - -10. Let n be (-2)\/(6 - 2)*2. Sort n, l, r in increasing order.\nAnswer: l, n, r","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -24 + 33 - q**2 + 39.\nAnswer: -q**2 + 48","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let s(h) = 2*h**2. Let c(m) be the first derivative of m**3\/3 + 45*m**2\/2 - 212. Give c(s(z)).\nAnswer: 4*z**4 + 90*z**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve 910 = -39*j + 1100 + 668 for j.\nAnswer: 22","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is 521 at most as big as 538?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 324384 and 1090.\nAnswer: 1621920","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 20\/(-3) + 189\/(107163\/7668).\nAnswer: 48\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is (36\/((-30)\/(-10)))\/2?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 3.4088687 - -18.5911183. Let h = -17.4 + -4.6. Let k = h + f. What is k rounded to 5 dps?\nAnswer: -0.00001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d be 802\/(-11) - (-23)\/(-253). Let i(u) = -u**3 - 7*u**2 - 9*u + 10. Let y be i(-7). Let w = d + y. Solve 3*k - 3 + 6 = w for k.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 2419 + -2461. Which is the closest to 2? (a) 2 (b) v (c) -1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1825945519?\nAnswer: 1825945519","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -52429, -104853, -157275, -209695?\nAnswer: -262113","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let o be -2 - (-2 - -22 - 1). What is the tens digit of 116\/6 - 14\/o?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.00001475458 rounded to seven dps?\nAnswer: 0.0000148","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*g**3 - 420*g**2 - 2058*g - 1640 = 0. What is g?\nAnswer: -205, -4, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from nyuuwwnkuuun. What is prob of picking 2 n?\nAnswer: 1\/22","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -1\/733 or 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let n(b) = -b**3 + 23*b**2 + 404*b + 239. Determine n(35).\nAnswer: -321","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is -813 - -2?\nAnswer: -811","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -400 - 94 = -26*m. What is the second derivative of 31*s - m*s + 83*s**2 - 23*s**2 + 5 wrt s?\nAnswer: 120","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -10*i + 12*i = -58. Let z = -32 - i. Let a = 2 - -2. Put -2, z, a in decreasing order.\nAnswer: a, -2, z","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence bm when two letters picked without replacement from mkiibkwii?\nAnswer: 1\/72","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let l(v) = -1. Suppose 5*o + 4*j + 0*j + 25 = 0, 3*j + 11 = 4*o. Let k(u) = 2*u - 6. Let r(d) = o*k(d) + 2*l(d). Let y be 5\/4*(-8)\/(-2). Calculate r(y).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of -3177, -6355, -9533?\n\"Answer: -3178*x + 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -9*s - 1459 + 17668 = 0. Is s a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -4509*w**5 - 76*w**3 + 22*w**2 - 1484212?\nAnswer: -270540*w**2 - 456","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is -71.3393673 rounded to the nearest ten?\nAnswer: -70","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is 32535 + -9?\nAnswer: 32526","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3 = 2*a - 11. Suppose -k + 6*k + 2*l = 18, -a*k + 24 = 4*l. Solve -5*o + 2*q = -q - 8, -k = 2*q for o.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find a such that -2*a**5 + 1378*a**4 - 236618*a**3 - 273978*a**2 + 6222420*a - 5713200 = 0.\nAnswer: -6, 1, 4, 345","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*s = s + 3. Let p(j) be the second derivative of -3*j**6\/40 + j**5\/60 - j**3\/6 + 2*j**2 - 2*j. Let r(c) be the first derivative of p(c). Give r(s).\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k be 2*3*(10 - 4). Is 27 a factor of ((-52)\/(-8))\/(3\/k)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -5 - 0. Let r = j + 4.982. Let p = r + 0.478. Round p to 1 dp.\nAnswer: 0.5","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(l) = 2*l**2 + 8*l - 90. Give t(5).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 3073*v**2 - 139 + v + 139 - 3073*v**2 - 153*v**3.\nAnswer: -153*v**3 + v","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 87\/793 or 6.5?\nAnswer: 6.5","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let i(h) = h + 14. Let k(m) = -5*m**2 + 4*m + 2. Let o(q) = -51*q**2 + 42*q + 18. Let c(y) = -21*k(y) + 2*o(y). Determine c(i(t)).\nAnswer: 3*t**2 + 84*t + 582","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 1080*d**3 + 2*d**2*k - 8*d**2 + 39*k - 13 wrt d.\nAnswer: 3240*d**2 + 4*d*k - 16*d","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Work out -105 + -11.41.\nAnswer: -116.41","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let h(k) = 2*k**2 + 3*k + 3. Let v be h(-2). Let s be 13 + (34 + -37 - 2*1). Let r(m) = m**2 - 7*m + s*m - 5*m - 29 + 22. Give r(v).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 6 - 6 + 3145*c.\nAnswer: 3145*c","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ao when two letters picked without replacement from oaooaa.\nAnswer: 3\/10","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (588\/130 - (-1932)\/(-2093))\/(1\/((-45)\/6)).\nAnswer: -27","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 470885 and 82?\nAnswer: 41","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is -4 - -97?\nAnswer: 93","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 49892729?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of -467, -464, -461, -458, -455?\n\"Answer: 3*b - 470","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -597\/5 - -119. Let q = 371 - 371.1. Which is the closest to q? (a) 1\/2 (b) i (c) -1\/6\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -83\/248 and -17\/47926.\nAnswer: 191704","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -98 + 197. Suppose 0 = -8*b - b + t. Let n(w) = -w + 15. What are the prime factors of n(b)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose q = 5*q + 16. Let c be 6\/q*(-1 + 3). Let u = -4 + 7. Put 5, c, u in descending order.\nAnswer: 5, u, c","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 237 - 66*r - 474 + 237.\nAnswer: -66*r","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 15*s - 18*s = 0. Suppose 4*z = 8 - 20. Put s, 13, -5, z in descending order.\nAnswer: 13, s, z, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 66 - 40. Calculate the remainder when 51 is divided by n.\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 0 + (sqrt(99) - (sqrt(99) + 2)) + sqrt(99)*-2 + -5.\nAnswer: -6*sqrt(11) - 7","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*s - 5*x - 11, s + s - 26 = 5*x. Let c = s + -5\/2. Solve d - c*d**2 - 1\/2 = 0.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 47 = 4*s - 5*n, -63 = 4*s - 8011*n + 8016*n for s.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let x(n) = -19*n**3 - 7*n**2 - 13*n. Let u(a) = 71*a - 433. Let f be u(6). Let i(c) = 6*c**3 + 2*c**2 + 4*c. Determine f*i(j) - 2*x(j).\nAnswer: -4*j**3 - 2*j","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 1 + -0.9. Let d = -964\/21 - -326\/7. Which is the second smallest value? (a) -1 (b) g (c) d\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(2) + -3 + sqrt(2)*-2 + (sqrt(2) - ((sqrt(60)\/sqrt(3))\/sqrt(10) + sqrt(2)))**2.\nAnswer: -sqrt(2) - 1","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let b(s) = -s**3 + 9*s**2 - s + 7. Let n be (-1)\/4*-2*18. Let r be b(n). Let x be -7400000 - (r + 1 + 1). What is x rounded to the nearest one million?\nAnswer: -7000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(r) = r**3 + 17*r**2 - 18*r - 5. Let l be s(-18). Which is the nearest to 5? (a) 0.4 (b) l (c) -1\/5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(a) = a + 6. Let j(d) = 2*d + 17. Give -4*j(c) + 7*q(c).\nAnswer: -c - 26","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (h\/(h*h*h*h*h**(-1\/3)\/h))**(-1\/3)*h\/h**(-2)*h**(1\/16) assuming h is positive.\nAnswer: h**(521\/144)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let a(q) be the second derivative of -89*q**4\/12 - q. Let h(s) = -12*s**2 + 50*s**2 - 7*s**2 - 16*s**2 - 16*s**2. Determine h(a(r)).\nAnswer: -7921*r**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 653 = 3*l + 6*j - 11*j, -477 = -2*l - 5*j. Suppose -2*k - l + 1264 = 0. Does 13 divide k?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 9803 is divided by 816?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*d + y + 14 + 3 = 0, 22 = 4*d - y. Let s(m) = m - 1. Let b be s(d). Let p be 1\/b + (-33)\/80*-12. Put -1\/10, 5\/3, p in descending order.\nAnswer: p, 5\/3, -1\/10","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-528)\/(-3080)*20\/3*(-14)\/(-20)\nAnswer: 4\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let m(n) = 171*n - 1. Let f be m(-1). Let l = f - -256. Suppose -3*t = -4*a + t + l, -4*a - t + 104 = 0. Solve 3*p + 4*r + 13 + 0 = 0, 5*r = 5*p - a for p.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 13, 16, -2, -15, 26, 4 in increasing order.\nAnswer: -15, -2, 4, 13, 16, 26","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (4\/(-4))\/((-4)\/20)?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 211\/36 + (-1)\/4 and 53\/18?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 10, -5, -26, -53, -86, -125, -170?\nAnswer: -221","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is 955 - -4?\nAnswer: 959","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 844 - 839.0301. Let j = g - -0.0301. Sort j, 2\/129, -0.5 in descending order.\nAnswer: j, 2\/129, -0.5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 2*(-9)\/(-54)*(-36)\/(-16)*-24.\nAnswer: -18","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:26 AM and 10:50 AM?\nAnswer: 564","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (-3)\/(-15) + 78\/(-15). Let y = 1 - f. Let c = y - 4. What is the units digit of c?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(g) = -5 - 75*g + 69*g + 24*g. Let j(d) = -15*d**2. Determine j(q(c)).\nAnswer: -4860*c**2 + 2700*c - 375","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 85642805?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -0.9 - -1.9. Sort m, -0.1, 2 in decreasing order.\nAnswer: 2, m, -0.1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(r) = r - 9. Let g be y(10). Let n be -1*(-3 + 3)\/g. Suppose n = -v + 4*v - 42. Calculate the smallest common multiple of 12 and v.\nAnswer: 84","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*m + 27 = -3*v, 4*m + 5*v = -m + 25. Suppose -m*s = -3*s - 15. Suppose -5*z = -3*t - 36, -13 = s*t - 3. Is z composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 104793 is divided by 52059?\nAnswer: 675","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let x(w) = -w**4 - w**2 - w - 1. Let a(y) = -14*y**4 - 6*y**2 - 10*y - 10. Let c(u) = a(u) - 10*x(u). Suppose c(l) = 0. What is l?\nAnswer: -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 1.5 - 1.3. Let a = -7.5 - -8. Put -0.2, -1, p, a in decreasing order.\nAnswer: a, p, -0.2, -1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -19 - -58\/3. Let j = -383.1 - -383. Which is the closest to 1? (a) j (b) 0 (c) i\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 376 divide 255325?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(170) - sqrt(170)*2*4 - sqrt(170)) + sqrt(170) + sqrt(170)*2*4)\/(sqrt(40)\/(-3*sqrt(324))).\nAnswer: -27*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 24385776 to the power of 1\/3, to the nearest integer?\nAnswer: 290","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: 1 + (5 - (6 - 4)) + -3\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 50 and 20?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Sort -2, 109, -5, 94 in descending order.\nAnswer: 109, 94, -2, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve 13 = 3*h + 4*x, -h + x = -6*h - 1 for h.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 19650415.\nAnswer: 5, 569, 6907","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: 248 times 1.08\nAnswer: 267.84","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose t + 0 + 2 = 2*s, 2 = -s + 2*t. Suppose -5*l = -5*f + 90, 5*f - 44 = 2*f - 2*l. Suppose -2*x - 4*v - 9 = x, x = 5*v + f. Is x at least as big as s?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 29645 and 4980360?\nAnswer: 4980360","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*j - 2*m + 11 = -9, j - 27 = -5*m. Let o(s) = -3*s**3 + 3*s**2. What is o(j)?\nAnswer: -12","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-j**3 + 2*j**3 - 3*j**3)*((-4 + 4 - 2*j**2)*(-2 - 3 + 2) + 9 - 9 - 4*j**2).\nAnswer: -4*j**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of 7092, 7359, 8098, 9549, 11952, 15547, 20574, 27273?\n\"Answer: 40*y**3 - 4*y**2 - y + 7057","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (-15)\/2*4\/(-6). Suppose -i*s + 766 = -2*l, -4*l = -5*s - 5*l + 772. Does 25 divide s?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(a) = a**2 - 2*a + 1. Let q = 42 - 25. Let m = q - 3. Calculate the lowest common multiple of m and f(3).\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is 10131131 - 134?\nAnswer: 10130442","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Put -2, 2, 1\/461, -4\/7 in decreasing order.\nAnswer: 2, 1\/461, -4\/7, -2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let o(x) be the third derivative of -x**6\/120 + x**5\/10 + x**4\/12 - x**3\/6 - 79*x**2. Determine o(5).\nAnswer: 34","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 3328684 and 12?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 3291649 is divided by 4377.\nAnswer: 145","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 21471?\nAnswer: 3, 17, 421","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) 160 (b) -1 (c) 0 (d) 0.09 (e) 2\/5 (f) -10 (g) 5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-2*(-2)\/6)\/((407\/(-333))\/11)?\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let j(r) = -r**3 - 7*r**2 - 13*r - 12. Let x be j(-5). Solve x = -5*l + 5*c - 2*c, 0 = l + c - 1 for l.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(m) = -3*m + 4. Let q be i(3). Let s(r) = 660002*r + 10. Let k be s(q). What is k rounded to the nearest one million?\nAnswer: -3000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -5578, 4, 0.3, -0.1, 0.5 in decreasing order.\nAnswer: 4, 0.5, 0.3, -0.1, -5578","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 1a721 (base 14) in base 6?\nAnswer: 1235213","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 38 - (-2 + -43 - -50).\nAnswer: 33","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: 22778001 divided by -7592667\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -0.2? (a) -3 (b) 3 (c) 19 (d) 4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-5*sqrt(363) + 0)**2.\nAnswer: 9075","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose y - 1 = 6. Let a = 17 + 8. Let h be a*(0 - (-8)\/10). Solve -2*u - h = -y*u for u.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(r) = 5*r + 4. Let l(q) = -q**3 - q**2 + q + 4. Let j be l(0). Let b be v(j). Suppose -2*s + b = s. What is the units digit of s?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 948 + 1760. What is the units digit of a?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -132 = -3*s + 6. Suppose 3*d - 298 - s = -2*j, -2*d - 490 = -3*j. Is j composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2974*w**2 + 4*w**3 + 2974*w**2 - 4*w**5.\nAnswer: -4*w**3*(w - 1)*(w + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*b = 5*t - 11 - 10, 10 = 5*b. Suppose 4*h - t*h - 4 = 0. Solve 6*y = h*y - 4 for y.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 1606 to the nearest integer?\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((j*j*j\/(j**(-1\/24)*j))\/(j*j**(-12)))**(2\/13)\/(((j\/j**(1\/4))\/j)\/((j\/j**0)\/j*j)*((j*j**(2\/13))\/j*j)\/(j**(-4\/3)*j)) assuming j is positive.\nAnswer: j**(23\/13)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: 0 + 2 + 0 - (41 + -42)\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 99826350.\nAnswer: 2, 3, 5, 13, 51193","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is 31 a multiple of 2?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 380888 and 128.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of (1*217\/4)\/((-2)\/(-8))?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(r) = -r**3 - r**2 + r + 1. Let m(i) = 3*i**3 + 2*i**2 - 6. Calculate m(t) + 2*x(t).\nAnswer: t**3 + 2*t - 4","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 6217751 to the power of 1\/2, to the nearest integer?\nAnswer: 2494","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 7133523.\nAnswer: 3, 17, 61, 2293","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 6386\/19 + -336. Sort -4, t, 3\/4, -5.\nAnswer: -5, -4, t, 3\/4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(x) be the first derivative of x**2\/2 + 12. Let m(y) = -y**2. Calculate r(m(i)).\nAnswer: -i**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is 306853177 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Does -6\/125 = -0.117726?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 130647576.\nAnswer: 2, 3, 5443649","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Express (z + 25311 - 12649 - 39366*z**2 - 12661 - z)*(2*z - z - 2*z) in the form o*z**3 + w + k*z + i*z**2 and give o.\nAnswer: 39366","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 258879 is divided by 3404?\nAnswer: 175","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 6.09 - 0.09. Let t = -1041269 - -1041275.000005. Let o = x - t. What is o rounded to 5 dps?\nAnswer: -0.00001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*m - 38*r = -33*r + 14, -m = r + 3 for m.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let h(x) = 5 + 5*x - 1 - 2. Let g = -1 + 4. Let z(k) = -k - 3 + g. Give -h(u) - 6*z(u).\nAnswer: u - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 2\/213 - -3757\/639. Suppose 3*v - 3*c + 162 = 0, 2*c = -3*c. What is the common denominator of g and ((-6)\/v)\/(1\/(-76)) + 4?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 27193 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is 5 + 6?\nAnswer: b","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 28 - 4. Suppose -5*j + 17 = 2*k - 6, 3*k + 4*j = o. Suppose 6 = -k*b + 26. Sort 1, -1, b in increasing order.\nAnswer: -1, 1, b","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is 0 - 312340122?\nAnswer: -312340122","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let l(j) = -4*j. Let q(p) = 30*p. Determine l(q(x)).\nAnswer: -120*x","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 279706197.\nAnswer: 3, 23, 59, 127, 541","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in -0.3, -0.94, -1\/2, -2\/3, 36260?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 21\/355 and -11\/5?\nAnswer: 355","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -51*p + 48*p + 957 = 0. Find m, given that -314*m**2 - 86*m + 407*m + 179*m + p*m**2 + 12500 = 0.\nAnswer: -50","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -2*(3\/(-1) + (-160)\/(-20) - 2).\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -209.97 + 0.103.\nAnswer: -209.867","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 59023442.\nAnswer: 2, 31, 269, 3539","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 47 + -21. What is the tens digit of w?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*f + 23 = -5*r - 20, -5 = -f - 3*r. List the prime factors of f.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 6*((sqrt(304)*1 + -1 + 2 + -2*(1*sqrt(304) + -3))*-2)**2.\nAnswer: -1344*sqrt(19) + 8472","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -8 - -13. Suppose -6*l = 2*n - 4*l - 232, 2*n = -h*l + 223. What is n rounded to the nearest 10?\nAnswer: 120","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (g*g*g**(-4))**(-2\/105)\/(g\/(g\/(g\/(g\/(g**(-1\/3)\/g))*g)))**13 assuming g is positive.\nAnswer: g**(153\/35)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*y + 2*m - 6 + 33 = 0, -5*y + 4*m = -19. Suppose -3*k + 1 - y = 0. What is the units digit of 3\/(-3) + (-4)\/k?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.000046772 to 7 dps.\nAnswer: -0.0000468","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (1*-2)\/(-5 + 4). Suppose f*i - 3 = 1. What is the units digit of i?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(n) be the first derivative of -5 - 1\/2*n**2 + 2*n - 2\/3*n**3. What is j(2)?\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -2 - -21. Is y prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose l - 2*h + 4 = 3, 5*h - 20 = 0. Let x = -3 + l. Suppose 2 + x = 3*w. Solve 4*m + w = 6 for m.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(3872) - sqrt(3872)*-3)\/sqrt(8))\/(3*sqrt(128)*4)*-1.\nAnswer: -11*sqrt(2)\/24","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Work out 34889 * 1.\nAnswer: 34889","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2777?\nAnswer: 2777","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let o(c) = -2*c - 12. Let s be o(-8). Suppose r = s*r + 51. Let d = 17 + r. Solve 4*m + 2*x - 22 = d, -6 = 5*m - x - 16 for m.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:41 AM and 6:06 PM?\nAnswer: 385","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 3117822 is divided by 3256.\nAnswer: 1830","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 786831471.\nAnswer: 3, 193, 452983","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*p - 9 = 4*p. What is the remainder when 25 is divided by p?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -40? (a) -4 (b) 0.3 (c) -4\/17\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) -16\/7 (b) 33 (c) 7 (d) -4 (e) -4\/5\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Sort 649, 2, 8.\nAnswer: 2, 8, 649","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 6*t - 7*t - 5869794. Let l = -147675 - t. Let i = l + -8022119. Round i to the nearest 1000000.\nAnswer: -2000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 154 + -157. Let b = -0.88 + 1.28. What is the third smallest value in 19, t, b, 5?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 2*b**5 - b**5 - 5*b**5 + (b + b - 4*b)*(b - b - b**4).\nAnswer: -2*b**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 61552 to the power of 1\/6, to the nearest integer?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let v(h) = h**2 - 7*h + 7. Let l be v(6). Suppose 0 = -f + z + 3*z + 22, z + l = -2*f. Solve 2*m = -f*m - 8 for m.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2572*r - 1 = 2575*r - 5*f, 1 = r - 3*f for r.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 10*j + 9 = -1 for j.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let h(r) = 4*r**2 - 229*r - 425. Determine h(59).\nAnswer: -12","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 11453 is divided by 12?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*c - 2*k = -112 + 358, -5*k = -4*c + 207. Suppose -10*z = 377 - 2077. Suppose d + z = 18*d. What is the remainder when c is divided by d?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -25 divided by -835099?\nAnswer: 25\/835099","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -145\/25356 and 64\/27?\nAnswer: 228204","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -47\/68 + -1\/17. Sort x, -5, -2\/15, -16 in ascending order.\nAnswer: -16, -5, x, -2\/15","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:30 AM and 11:28 AM?\nAnswer: 418","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from oeerogeotevoetero. What is prob of picking 2 o?\nAnswer: 5\/68","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*f + 1177 = 37*f + 889 for f.\nAnswer: 9","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -1.499956 + 1.5. What is x rounded to 5 dps?\nAnswer: 0.00004","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 12 - 8. Let a(l) = l + 17. Let n be a(-12). Suppose -2*k = -m - m, n*k - 9 = -4*m. What is the second biggest value in -2\/15, m, t?\nAnswer: m","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 9 + 0 - ((33 - 5) + -19 + -15)?\nAnswer: 15","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 711a8 (base 14) in base 13?\nAnswer: 96a61","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let j be ((-20)\/(-30))\/((-2)\/(-78)). Let r = j + -23. Solve r*u + 6 = -0*u for u.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s be ((-228)\/(-20) - 4)\/(-11 - (-65190)\/5925). Calculate the greatest common divisor of s and 37.\nAnswer: 37","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 8520 by 10.\nAnswer: 852","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*n = n - 2. Let o be 5\/10*(-1)\/(3\/30). Is n\/o - 114\/(-5) a multiple of 20?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 4351\/30 - 1447\/10. Find h, given that l*h**3 + 4\/3*h**2 + 5\/3*h + 2\/3 = 0.\nAnswer: -2, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -2686 greater than -2667?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*u = -4, -3*w - 2 = -2*w - 3*u. Suppose -10 = 2*p, 3*p + 5 = -w*i - 2. What is the units digit of i\/4 - 51\/(-6)?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 4.9098 - -0.0902. Let k = -0.07 - 0.23. Let r = k - -6.3. What is the smallest value in r, q, -5?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 2052126?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 2.4 - -0.6. Let j be 1 - (-12 - -2)\/(-2). Let y be j\/(-21) + 5\/(-15). Put x, y, -3\/5 in ascending order.\nAnswer: -3\/5, y, x","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 189271?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 275202793*a**3 - 10602*a**2 + 29*a - 28.\nAnswer: 1651216758","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2\/21*t**2 + 4\/21*t**3 + 2\/21*t**4 + 0*t + 0.\nAnswer: 2*t**2*(t + 1)**2\/21","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (j**(2\/9))**36*j**(-3\/5)*j**(-8) assuming j is positive.\nAnswer: j**(-3\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Determine i so that -2*i**2 + 2800*i - 980000 = 0.\nAnswer: 700","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {g: 6, f: 7, y: 4}. Give prob of picking 2 g.\nAnswer: 15\/136","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 15408, 15312, 15214, 15114?\nAnswer: 15012","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.0002012505735 rounded to six decimal places?\nAnswer: 0.000201","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is 74136989 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let v be -7 + (13 + -12)*3. Let j(q) = 5*q + 3. Let z(u) = -10*u - 6. Give v*z(d) - 9*j(d).\nAnswer: -5*d - 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 13 + -9. Let o(l) = l**3 - 6*l**2 - 2*l - 1. Let f(a) = a**2 + a + 1. Let w(n) = -2*f(n) - o(n). Determine w(h).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in -1\/30, -2\/7, 1?\nAnswer: -2\/7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Round -183.36589 to the nearest ten.\nAnswer: -180","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let m(n) = 4*n**2. Let w(b) = 4550*b**2. Calculate m(w(j)).\nAnswer: 82810000*j**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 1308 - 817. Is t prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 9 + -9. Find the third derivative of -5*q**5 + 3*q**4 + 2*q**2 + i*q**2 - 3*q**4 wrt q.\nAnswer: -300*q**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 73\/400414 and -62\/48699?\nAnswer: 3603726","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let a be ((-3)\/(-9))\/((-12)\/(-16)). Let t = -149\/4 + 2227\/60. Sort t, -13, a in increasing order.\nAnswer: -13, t, a","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence nnn when three letters picked without replacement from tnkk?\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: -79474989 * -16\nAnswer: 1271599824","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let o(x) be the second derivative of 71*x**3\/6 + x**2 - 4*x. Let d be o(4). Is ((-2)\/(-4) + 0)*d a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -644487 bigger than -644486?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 10.8 and -3.\nAnswer: -32.4","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -36 + 130. Let d(p) = 454*p + 3211. What is the remainder when s is divided by d(-7)?\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(b) = b**3 - b**2 - 8*b - 5. Let h be g(7). Suppose h = -5*m + 718. What is the units digit of m?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -22*q**2 + 22*q**2 + 31*q**3.\nAnswer: 31*q**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let m(p) = p - 9. Let g be m(3). List the prime factors of (-8)\/g*(36*-5)\/(-6).\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 0.01 - 1.26. Let i = 0.18179438 - -1.06820706. Let u = l + i. What is u rounded to seven dps?\nAnswer: 0.0000014","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -7 - -9. Let r(x) = 3*x**2 + 3*x**m - x**2 - 4*x**2. Let k(i) be the first derivative of i**2\/2 - 1. Give r(k(h)).\nAnswer: h**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-11)\/22)\/((-9)\/(-4))?\nAnswer: -2\/9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let q be 1 + -3 + 3 - -70. Suppose 17 - q = -v. Let x = 21 + v. Calculate the greatest common divisor of 25 and x.\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 4 - 1. Let z = a - 3. Suppose z*f + 25 = f. Is f prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*m + 18 + 2 = 0. Let j = m + 20. What are the prime factors of j?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(p) = -5880*p - 197. Is y(-11) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(h) be the second derivative of -85*h**8\/14 + h**6\/10 + h**4 + 47*h**3\/6 - 3*h + 111. What is the third derivative of c(g) wrt g?\nAnswer: -40800*g**3 + 72*g","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 22 - 25 = -w. Suppose 22 = 2*a - w*j, -21 = -4*a - 3*j + 59. Calculate the remainder when 81 is divided by a.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -5, -30, -6 in increasing order.\nAnswer: -30, -6, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {j: 5, q: 5}. Give prob of sequence jq.\nAnswer: 5\/18","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-z**3 - 2*z**3 + 2*z**3)*(-z**2 + 3*z**2 - 5 + 2).\nAnswer: -2*z**5 + 3*z**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 18216000 is divided by 170?\nAnswer: 160","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: 6653262 (base 7) to base 9\nAnswer: 1478633","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((o*(o**(1\/4)\/o)\/o)\/(o*o**(-1\/5)\/o))**(-2\/25) assuming o is positive.\nAnswer: o**(11\/250)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 376? (a) 12\/7 (b) -5 (c) -1\/5 (d) 5 (e) 4.2\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 38*n**4*w**2 - 473*n**2*w**2 - n*w**2 + 22030*n wrt n?\nAnswer: 456*n**2*w**2 - 946*w**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 156 and 1.\nAnswer: 156","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {m: 2, o: 1, b: 3, x: 3, q: 1}. Give prob of picking 1 x, 2 b, and 1 q.\nAnswer: 3\/70","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-4 + 5*(2*sqrt(144))\/sqrt(8) + (sqrt(648) - (-4*(sqrt(648) + 1 + sqrt(648)) - sqrt(648)))*-3)**2 + 5.\nAnswer: 16320*sqrt(2) + 520461","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 6.5 - 1.48. Let l = 3.02 - u. Which is the fourth biggest value? (a) 2 (b) 0.5 (c) l (d) 48\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1056689.\nAnswer: 23, 45943","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.156 + -0.668?\nAnswer: -0.824","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let r(c) = -2*c**2 - 6*c. Let x(h) = -4*h**2 - 13*h. Let w(n) = 13*r(n) - 6*x(n). Let y(a) = -15*a. Give y(w(q)).\nAnswer: 30*q**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 196 and 111367739.\nAnswer: 49","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*y - 1 - 5. Let i(l) = 4*l**2 - 2. Give i(y).\nAnswer: 14","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i be 166\/(-3) - (-40)\/30. Let k = 160 + i. What is the tens digit of k?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (-2)\/2 + 7 - 1. Suppose -3170 = -c*h + 1155. Is h prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 379580 and 0.2?\nAnswer: 75916","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Express (1 + 0 + 2)*(50*h + 151*h + 7*h) as m*h + w and give m.\nAnswer: 624","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let u be 3\/(-5) + 4\/4. Suppose -2*h - 3*j = 15, -3 = -4*h - 5*j - 28. What is the smallest value in u, 6, h?\nAnswer: h","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out -0.16 * 4.8.\nAnswer: -0.768","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:10 AM and 7:20 AM?\nAnswer: 430","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is -3b5 + 226?\nAnswer: -18b","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*j = q, 3*q + 9 = -3*j + 3. Solve 0 = -2*p - j + 6 for p.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(y) = 2*y**2 + 7*y - 16. Let x(a) = a**2 + 4*a - 8. Let d(k) = -2*q(k) + 5*x(k). Is d(-10) a multiple of 8?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 6.319488 centuries to millennia.\nAnswer: 0.6319488","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence iwi when three letters picked without replacement from {i: 3, w: 3, l: 1}.\nAnswer: 3\/35","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is eighteen fifths of a tonne in kilograms?\nAnswer: 3600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from oeoooyoooooey. What is prob of picking 1 o and 2 e?\nAnswer: 9\/286","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 129*l - 59425 - 138848. Does 53 divide l?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(y) = -y - 218 + 0*y + 245. Let n be g(-9). Suppose -5*x + n = 3*k, 4*k + 15 = -3*x + 41. Solve -x = 2*r + u, 0 = 4*u - 0*u - 16 for r.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(i) = 18*i**2 - 2. Let g(f) = 39*f. Calculate g(h(c)).\nAnswer: 702*c**2 - 78","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let k(h) be the second derivative of 3145*h**4\/4 - 925*h**3\/6 + h**2 - 8834*h. What is the second derivative of k(q) wrt q?\nAnswer: 18870","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(j) be the third derivative of -j**6\/10 + 11*j**3\/6 - 38*j**2. Let s(h) = h**3 - 1. What is -4*i(o) - 44*s(o)?\nAnswer: 4*o**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) 49 (b) 0.1 (c) 4\/5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-b**3 - 2*b**3 + 5*b**3)*(-194*b**2 + 157*b**2 - 259*b**2) - b**5 + b**4 - b**4 + (-b + 3*b + 0*b)*(-4 + 2*b**4 + 4) + 3*b**5 + 4*b**5 - 5*b**5.\nAnswer: -587*b**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth smallest value? (a) -0.2 (b) 4 (c) -3 (d) -2 (e) 1.1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Convert 15 (base 8) to base 15.\nAnswer: d","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: -7104027.3 * 0\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let m(z) = -6*z + 3. Let n(r) = -5*r + 2. Let u(c) = -4*m(c) + 5*n(c). Let s be u(-6). Find the third derivative of 2*g**6 - s*g**2 - g**2 + 4*g**2 wrt g.\nAnswer: 240*g**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 14*u + 213 = 1655. What is the tens digit of u?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 34542385843 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(80) + 2 + -3)**2 + 4.\nAnswer: -8*sqrt(5) + 85","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -21 + 25. Suppose 0 = 3*y + k - 183, -1 = -y + w*k + 60. Suppose 0 = -4*j - y + 13. Is j at most -12?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 611 is divided by 36?\nAnswer: 35","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -67 - -82. Solve -l - 4*l - u = 0 for l.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*l - 5*r - 41 = 0, -l = 3*l - 4*r - 36. Suppose -p - l*p + 155 = 0. Suppose 5*f - 4*i - 70 = i, 9 = -3*i. What is the remainder when p is divided by f?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -1249.3 and -0.39?\nAnswer: 487.227","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -177293, -177295, -177299, -177305, -177313, -177323, -177335?\nAnswer: -177349","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 83444 and 8924.\nAnswer: 92","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let i(z) = z**3 - 5*z**2 - 5*z - 2. Let w be i(6). Suppose -m + 1 + 3 = 0, -w*l = 5*m - 44. Calculate the remainder when 10 is divided by l.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 113767?\nAnswer: 29, 3923","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*c - 561 + 37875 = -x, x + 24877 = 2*c. Is c a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is -4 + 15217516?\nAnswer: 15217512","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -195 - 621 = 4*n. Let c be (-12157)\/5 - (-6 + (-112)\/(-20)). Find the common denominator of 0 - -2 - c\/n and -1\/16.\nAnswer: 48","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -2*t**3 - 73 + 2*t**4 + 154 - 80 - 2*t**2 to the form m*t + z + k*t**3 + p*t**4 + l*t**2 and give m.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Does 34 divide 10011968?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is -5763 + 7674?\nAnswer: 1911","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 126 + -116. Solve 5*i = -30 + d for i.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-34*d + 26 - 2*d**2 - d**4 - 57 + 32)*(-2 + 2 - 2).\nAnswer: 2*d**4 + 4*d**2 + 68*d - 2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let z(o) = o**3 + 7*o**2 - 62*o - 408. Let m be z(-6). What is the closest to m in -23, 4, 32?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-4*35\/(-42))\/(-1*4)?\nAnswer: -5\/6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is 57 at least as big as -6.2?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Expand (50 - 94 + 55)*(3*s**4 - 5*s**4 + 4*s**4 + (4*s**3 - s**3 - s**3)*(3*s - 5*s + s) - s**4 + 0*s + 0*s + 0*s**3 - 2*s**4 + 0*s**3).\nAnswer: -33*s**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let o(i) = -32*i**2. Let f(l) = -8*l + 6. Let c(z) = 9*z - 7. Let t(j) = 6*c(j) + 7*f(j). What is o(t(d))?\nAnswer: -128*d**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-1*sqrt(396) + sqrt(396))*5)**2 + sqrt(44)\/sqrt(16) + -1 + sqrt(891).\nAnswer: -1 + 19*sqrt(11)\/2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 15 = 8*c - 3*c. Suppose 4*f + c*s = 9, 5*f - 2 = 3*f - 4*s. Let z be f\/(-15) + (-180)\/(-25). What is the greatest common divisor of z and 21?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 211\/3 + -69. Suppose -2*c + 3*t - 9 = -4*c, -5*t = -5. Find b such that 2\/3*b**c - d*b + 0 - 2\/3*b**2 = 0.\nAnswer: -1, 0, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 3188 is divided by 29?\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let g(n) = 18*n**2 + 123*n - 13. Determine g(-7).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -15 - -19. Solve 0 = -s*j + j - 9 for j.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 14684937 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let r(k) = 3*k**2 - 4. Let q(j) = 6*j + 4. Let y be q(-1). Let g(p) = -10*p**2 + p + 13. Determine y*g(d) - 7*r(d).\nAnswer: -d**2 - 2*d + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -39 + 45. Let f = -1.391 - 4.619. Let z = f + l. Round z to 1 dp.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -14335784 divided by 4.\nAnswer: -3583946","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let p(s) be the first derivative of 10*s**6 - 4*s**4 - 3219*s**2\/2 - 579. What is the second derivative of p(o) wrt o?\nAnswer: 1200*o**3 - 96*o","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 5\/420 + 167295\/23940.\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (-21)\/(-35) - 196\/(-15). Let m = 14 - c. Let z = m - -7\/6. What is the nearest to 2\/7 in 0, z, 0.4?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Total of -597056386 and -7413.\nAnswer: -597063799","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Convert -2b27d (base 14) to base 9.\nAnswer: -173435","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let i(u) = 4*u**2 + 2*u + 5. Let h be i(4). Let s = 152 - h. Let k(j) = j**2 + 3*j - 3. Let m be k(3). What is the greatest common divisor of m and s?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*g - 3*g + 0*g)*(g - 2*g - g) - 3 - g**2 + 3.\nAnswer: g**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: 0.061*-0.13\nAnswer: -0.00793","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -51*j**3 + 193*j**3 + 2*j + 116*j**3 - 29*j**3.\nAnswer: 229*j**3 + 2*j","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Expand (9 + 21 - 5)*(w - 2*w + 0*w) + (2 - 1 + 3)*(10*w - 3*w + 0*w).\nAnswer: 3*w","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 51000\/(-3180) - ((-20)\/(-12) - (-1325)\/(-75))?\nAnswer: -2\/53","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -8 - -5. Let k = w - -7. Solve -3*j + 6 = 4*h + 16, -k*j - 2*h = 10 for j.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(k) = -2*k. Let d(f) = 4278702*f**2. What is r(d(v))?\nAnswer: -8557404*v**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in -1\/4, 4, -3, 5?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 2*d**4 + 6*d**2 - 7*d**2 + 3 - 3*d**3 + 3*d**3 to the form y*d**2 + c*d + u*d**4 + m + r*d**3 and give y.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let l(z) = z**3 + 33*z**2 - 71*z - 40. Determine l(-35).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: -263886 divided by -61\nAnswer: 4326","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let a(k) = -k**2 + 9*k - 4. Let s be a(6). Let c(j) = 558569*j + 34. Let f be c(s). What is f rounded to the nearest one hundred thousand?\nAnswer: 7800000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the sixth biggest value? (a) -0.25 (b) 0.2 (c) 0.1 (d) -56\/9 (e) 0 (f) 383\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 35 and 35?\nAnswer: 35","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: -12 + 42 + -74 + 44\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 129570 is divided by 1089.\nAnswer: 1068","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let i(v) = -v**2 - 6*v + 8. Suppose -10 = -u - 4*u. Let t(y) = -y + 2. Let j be t(u). Suppose j - 18 = 3*w. Give i(w).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 10116118.99957 + -10116030. Let r = -92.8 + 3.8. Let t = r + b. Round t to four decimal places.\nAnswer: -0.0004","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((l*(((l*l**(1\/3)\/l)\/l)\/l)\/l)\/l*l\/(l**0*l)*l)\/((l*l\/((l\/l**(-25))\/l*l))\/(l\/(l**17*l)*l)))**(-22) assuming l is positive.\nAnswer: l**(-418\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 0.02447 - -0.27553. Which is the second smallest value? (a) 61 (b) z (c) -1 (d) -4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (2*sqrt(133)*-1*-6)\/(-2*-1*sqrt(28)).\nAnswer: 3*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let q(p) = 241257*p**2 + 27*p + 49. Is q(-2) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1678 = 182*z - 2270 - 238 for z.\nAnswer: 23","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let n(a) = 2*a**2 + 5*a + 5. Calculate n(-2).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -2128*d**5 - 16*d**2 - 21*d.\nAnswer: -127680*d**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let i(d) = d**2 - 2*d + 1. What is the units digit of i(-5)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -141 + 142. Let d(y) = y - 5. Let f be d(7). Let j be (-6)\/(f + -1)*2\/(-3). Sort g, j, -5, -3 in decreasing order.\nAnswer: j, g, -3, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(q) = q**3 + 8*q**2 + 8*q + 4. Let d be t(-3). Let w = -6 - -11. What is the greatest common divisor of d and w?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(c) = 2*c**2 + 2*c + 7. Is x(-8) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1320313831 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 58 in 3, 565, 0.2?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let y be ((-6)\/(-4))\/(6\/4). Let w = -1 + y. Suppose -4*h + 44 = -w*h. What are the prime factors of h?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: (1 - -7) + -22 + (16 - -9)\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let j(c) be the third derivative of 1\/75*c**5 + 0 + 3*c**2 + 0*c - 1\/60*c**4 + 0*c**3 - 1\/300*c**6. Let j(h) = 0. What is h?\nAnswer: 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -305*o**4 + 6*o + 6 wrt o?\nAnswer: -3660*o**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let o(q) be the third derivative of -q**5\/60 - 17*q**4\/24 - 14*q**3\/3 - 6*q**2. Let g be o(-14). Let h(k) = -k + 45. What are the prime factors of h(g)?\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 46135 is divided by 22692?\nAnswer: 751","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let i(t) = -11*t - 20. Let y(q) = 3*q - 6. Let z(d) = -3*d + 6. Let p(r) = 5*y(r) + 4*z(r). Let x be p(4). Let v(s) = -4*s - 7. Determine x*i(j) - 17*v(j).\nAnswer: 2*j - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 502 minutes before 9:47 PM?\nAnswer: 1:25 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-5)\/210*-21*4*5?\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (15\/12)\/((-2)\/8). Let j(p) = -p - 3. Let c be j(g). Solve 2*z - s + 4 = -11, 0 = 2*z + c*s for z.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many meters are there in seventeen quarters of a kilometer?\nAnswer: 4250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let y(a) be the second derivative of a**4\/12 + 5*a**3\/6 - 4*a**2 + 593*a. Determine y(-6).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*h + 180 = -h. Is 12 a factor of h?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 0.8933579mg to kilograms.\nAnswer: 0.0000008933579","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 167816899*o*v - 97758*v - 99 wrt o?\nAnswer: 167816899*v","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in 0.5, -3\/8, 628, 1\/4, -4.3?\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 19 - 16. Let x(q) = 115555*q**2 + 2*q - 1. Let f be x(c). Round f to the nearest one hundred thousand.\nAnswer: 1000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence bbsd when four letters picked without replacement from {s: 1, f: 1, b: 2, d: 2}?\nAnswer: 1\/90","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (5*(sqrt(18) + (sqrt(144) - 2*sqrt(144))\/sqrt(8))\/((sqrt(90)*2)\/sqrt(10))*5)**2*-5.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 3*b**3 + 5759*b**2 - b - 3*b - 11511*b**2 + 5754*b**2 + 431 to o + s*b + r*b**3 + a*b**2 and give r.\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*x = 17 + 13. Let r(s) be the third derivative of s**6\/120 + 3*s**5\/20 + s**4\/4 + 5*s**3\/6 + 2*s**2. Is r(x) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (33\/(-12))\/11*20?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -2 - 1. Let i be (-7)\/z - (-2)\/(-6). Suppose i*l + 31 - 195 = 0. Is l prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-60131)\/(-3064) + 18\/48 + 1782\/(-89)\nAnswer: -2\/89","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(b) = 3 + 2*b + 3*b**3 - 4 + 15*b**3. Let z = -91 + 92. What is the units digit of p(z)?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of -43557690, -43557675, -43557672, -43557687, -43557726, -43557795, -43557900?\n\"Answer: -y**3 + 22*y - 43557711","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (18\/4)\/(-17 + 14)*-2. Solve -2*s = -q + 7, s + q + j = -5 for s.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 3322615 (base 7) to base 2.\nAnswer: 1100011111001001010","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Put -2\/13, 5\/4, -1\/6, -2, -0.197 in increasing order.\nAnswer: -2, -0.197, -1\/6, -2\/13, 5\/4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from wmncclccnnwwmwwwwc. What is prob of sequence lww?\nAnswer: 7\/816","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 1*((sqrt(175)\/sqrt(5) - sqrt(35))*1)\/(2*sqrt(28)\/sqrt(4))*4.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify b*b\/(b**(-1)*b)*b**7*b**(6\/11)*b**(-6) assuming b is positive.\nAnswer: b**(39\/11)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let l(z) = -2 + 10 + 4 + 4 + 2*z. Let x(w) = w + 8. Let n(h) = 2*l(h) - 5*x(h). Determine n(-7).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ff when two letters picked without replacement from yyyyyfyfyyy?\nAnswer: 1\/55","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence qvh when three letters picked without replacement from vpvpppvvhvpppvq?\nAnswer: 1\/455","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*z + 2*h + 66 = -8*z, -z - 24 = 4*h. Let o = 13 + z. Let t(b) be the first derivative of 7*b**4\/2 + b**3\/3 + 740. What is t(o)?\nAnswer: 15","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*j - 2410 = -3*g + 6611, -j - 12015 = -4*g. Suppose 19*o - 8*o = g. What is the tens digit of o?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 209209 and 2495878?\nAnswer: 356910554","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Find s, given that -50*s**3\/17 - 6675510*s**2\/17 + 5340432*s\/17 - 1068088\/17 = 0.\nAnswer: -133511, 2\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let z(d) = 27 + 25 - 74 + 23. Let r(i) = -3*i + 18. Let l(s) = -18*s**3 - s**2 + s. Let h be l(1). Let n(a) = h*z(a) + r(a). Let b(p) = p**2. Calculate b(n(w)).\nAnswer: 9*w**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 1433528?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Sort -0.3, -0.82, 4 in increasing order.\nAnswer: -0.82, -0.3, 4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve 90*b + 909 = -204 - 57 for b.\nAnswer: -13","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let u(g) = -6*g**2 + 12*g - 15. Let t(k) = -31*k**2 + 66*k - 75. Determine 2*t(r) - 11*u(r).\nAnswer: 4*r**2 + 15","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 72874824*q**4 + 731184078*q**2?\nAnswer: 1748995776*q","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 808 and 909.\nAnswer: 7272","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 14, 33, 54, 77, 102?\nAnswer: 129","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*o - u - 59, 9*o - 42 = 5*o - 6*u. Suppose -3*p = 5*t - 938, -1400 = -4*p + 3*t - 188. Calculate the highest common factor of p and o.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 284.7 - 234.7. Which is the third smallest value? (a) 5 (b) l (c) 1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_test"},"subset":"dm_maths"} +{"text":"Question: Is 21532469 a multiple of 53?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -753904*n**2 - 578229*n**2 + 279200*n**2.\nAnswer: -1052933*n**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is -50386 rounded to the nearest 1000?\nAnswer: -50000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -277 - -281. Suppose 11*d - 13*d = -3*i + 16, 16 = r*d. Solve 0 = -6*o + i*o for o.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) 709 (b) -19 (c) 5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let i(a) = a**3 + 2*a**2 - a. Let u be i(-2). Suppose 10 = u*h - 60. Is h a multiple of 10?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 20 and 2720?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Factor 1\/5*o**4 + 7*o - 7*o**3 - 1\/5*o**2 + 0.\nAnswer: o*(o - 35)*(o - 1)*(o + 1)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose h + 21 = -2*h + 3*i, 32 = -5*h + 4*i. Let l = -4.216 + 0.016. Let n = l - -3.9. Which is the third smallest value? (a) -3 (b) n (c) h\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -33*u + 465 = 135 for u.\nAnswer: 10","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let z(k) = 3*k - 7. Let b(s) = 3*s + 15 - 3 - 18. Determine 6*b(q) - 5*z(q).\nAnswer: 3*q - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (-7 - -3)*(-10 + 5). Let y(g) = -b*g + 4*g + 2*g + 3*g. Let j(t) = -5*t. Give 7*j(o) - 3*y(o).\nAnswer: -2*o","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -0.17 + 0.1700025. Round k to six decimal places.\nAnswer: 0.000003","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*g + 4 + 2 = 0. Is (g\/(-6))\/((-1)\/166) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -i = -2*q - 3, -3*i + 5*q = i - 6. What is the biggest value in -3\/7, i, 1\/24?\nAnswer: 1\/24","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(c) be the second derivative of c**6\/360 + c**5\/40 - c**4\/8 + c**3\/3 - 5*c. Let g(f) be the second derivative of h(f). Is g(-6) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -50\/21 and 2\/469.\nAnswer: 1407","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is (18\/(-60))\/(-8*3519\/27600)?\nAnswer: 5\/17","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 116354 and 93240?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let i(y) = -11*y**2. Let g(u) be the second derivative of u**6\/180 + 4*u**3 - 21*u. Let d(o) be the second derivative of g(o). Calculate d(i(c)).\nAnswer: 242*c**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*b + 4 + 4 = 0. Let o(h) = -h**2 + 7*h + 3. Let a(m) = -9 - 1 - m - m + 9. Let z(j) = -3*a(j) - o(j). Give z(b).\nAnswer: 12","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 109*d**5 - 3294*d**3 + 1716559*d wrt d?\nAnswer: 2180*d**3 - 19764*d","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let u be 16\/40 + 26\/10. What is the least common multiple of 13 - (u + -3 + 2) and 4?\nAnswer: 44","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of 1620, 3240, 4860, 6480?\n\"Answer: 1620*k","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) -39 (b) 81 (c) 4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is 16 a factor of 14388635?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 11 = 3*t - 1. Let c(y) = y**3 - y**2 - 14. Let i be c(0). Let d = i - -14. Solve 5*z = -p + 15, -p = -d*p - t*z + 12 for p.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 87bba0 (base 12) in base 11?\nAnswer: 1243253","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 1656 and 120.\nAnswer: 8280","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 501, 502, 497, 480, 445, 386, 297?\nAnswer: 172","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*u + 20 = 5. Let a(y) = -2*y + 5. Let q(d) = d. Let b be -15*-3*(-4)\/36. Let v(c) = 4*c + 2. Let x(n) = b*q(n) + v(n). Determine u*x(h) + 2*a(h).\nAnswer: h","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let x(s) = s + 3. Let t = 13 - 24. Let p(c) = -6*c - 16. Let q(a) = t*x(a) - 2*p(a). Suppose 3*v = -4*g, 2*g = 2*v + g. Determine q(v).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_test"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) -0.1 (b) -50867 (c) -4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 840963031 to the nearest integer?\nAnswer: 28999","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence aa when two letters picked without replacement from {a: 3, i: 6, c: 1, b: 4}?\nAnswer: 3\/91","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*t + 3*n + 147, -2*n = -5*t + n - 253. Let q = -18 - t. Suppose 0 = 3*j - 5*y + q, -19 = j - 3*y - 3. Is -3 bigger than j?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 2 + -2. Suppose q = o - 16 + 11. Let b be 7602\/(-1629)*(-1)\/(2\/3). Solve o*d - 15 = -2*v, 2*d - 35 = -2*v + b*v for v.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: -30*42\/735*(-7)\/2\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Work out 1043109865226 - -5.\nAnswer: 1043109865231","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 101\/8 and ((-1)\/2)\/(3*35\/(-1407)).\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 - 222\/17*c + 2\/17*c**2 = 0 for c.\nAnswer: 0, 111","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 0.0521 + -8.0521. Which is greater: 3\/68 or k?\nAnswer: 3\/68","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (417 + 572 - 1218)*(-130 + 12 - 64 - 42)*(0*a + 2*a + 0*a) to b + d*a and give d.\nAnswer: 102592","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 3\/8 of a centimeter in micrometers?\nAnswer: 3750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -6 - -12. Let n = -10 + g. Let z = 4594 + -9191\/2. What is the nearest to 1 in n, -5, z?\nAnswer: z","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 106379?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let m(q) = -18*q**2 + 5. Let y(k) = 21*k**2 - 6. Let x(j) = 6*m(j) + 5*y(j). Let c(b) = b + 23. What is c(x(d))?\nAnswer: -3*d**2 + 23","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -762, -721, -692, -681, -694, -737, -816, -937?\nAnswer: -1106","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 112*z**3 + 4*z - 4*z - 109*z**3.\nAnswer: 3*z**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -6*w - 9*w + 2385. Is w a multiple of 7?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (1 + sqrt(1008) + 1 + 1 + sqrt(1008) + -1 + sqrt(1008))**2.\nAnswer: 144*sqrt(7) + 9076","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 92464770?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (p\/p**14)\/p**(-7\/2)*p**(-20)*p\/((p*(p\/((p*p**(-13)*p)\/p*p))\/p)\/p) assuming p is positive.\nAnswer: p**(-79\/2)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 16 and 1264.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {p: 1, a: 1, e: 2, g: 2, d: 2}. Give prob of sequence egga.\nAnswer: 1\/420","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let r**4 - 356*r**3 + 30227*r**2 + 259532*r + 496860 = 0. What is r?\nAnswer: -5, -3, 182","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (-3)\/(-12) - 78\/(-8). Is (-13 + -1)*(-445)\/v composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 69057831 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 5 + (4 - -1) - (15 - 5 - 4).\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let k(p) = 282*p**2 - 110*p**2 - 146*p**2 + 1 - 140*p**2 + 5. Let g(o) = -2*o. Calculate k(g(x)).\nAnswer: -456*x**2 + 6","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is -2 + 14 + -1 - 5031\/473?\nAnswer: 4\/11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-1*1*sqrt(208) + -1 + 5 + (-4 + 2 + sqrt(13))*-6)*6)**2.\nAnswer: -11520*sqrt(13) + 56016","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Put 3, -209, -1, 7, 0 in decreasing order.\nAnswer: 7, 3, 0, -1, -209","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(5) + 2)*5)**2 + sqrt(125)*-4 + sqrt(5).\nAnswer: 81*sqrt(5) + 225","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {w: 2, q: 1}. What is prob of picking 2 w?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: (36 + -14 - 9) + -60\nAnswer: -47","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (4\/18)\/(28\/(-42))?\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 34 and 72641?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.068015116 to four dps.\nAnswer: 0.068","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -1.7 in -3, -0.01362, 0.52, 3?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let k(n) = 14*n - 1. Suppose -4*f - 11*b = -10*b + 12, 3*f = -b - 8. Let i(o) = -5*o. Let u = -39 + 28. Calculate f*k(z) + u*i(z).\nAnswer: -z + 4","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is 2951 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: (-24)\/5*448\/5376\nAnswer: -2\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 7*p - 35 - 70. What is the units digit of p?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out -134.05 * -149.\nAnswer: 19973.45","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -11 = r - 0*r + 3*f, -15 = r + 4*f. Let n be (-84)\/(-10) - 8\/20. Which is smaller: r or n?\nAnswer: r","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(t) be the first derivative of -5*t**4\/8 - 5*t**3\/4 + 15*t**2\/8 + 5*t\/2 + 18. Factor a(k).\nAnswer: -5*(k - 1)*(k + 2)*(2*k + 1)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 30892945299 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let t(b) = b - 6. Suppose 2*n + 40 = 6*d - d, -2*d + 5*n + 37 = 0. Let m be t(d). Solve -3*y - y + 20 = m for y.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s be 69\/21 + 2\/(-7). Differentiate -s*x**3 + 3 - 6 + x**3 wrt x.\nAnswer: -6*x**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 6 + -2. Let i = v + -3.3. Let s = i - 1. Sort -0.1, s, 2\/5.\nAnswer: s, -0.1, 2\/5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -0.062 + -3.938. Let l = 1777\/4380 - 5\/876. Which is the closest to -20? (a) 4 (b) l (c) g\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(75)\/(sqrt(3)*4)*1)\/(-2*4*4*sqrt(5)).\nAnswer: -sqrt(5)\/128","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 22265?\nAnswer: 5, 61, 73","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -404690065 and 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 59 and 1.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Sort -2, 44377, -1 in increasing order.\nAnswer: -2, -1, 44377","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1259 is divided by 10.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((h\/(((h*h**1\/h*h)\/h)\/h*h))**(3\/28))**(1\/10)*h**(-1)*h**(-4)*h**(1\/3)*h\/((h**(-2\/15)*h)\/h) assuming h is positive.\nAnswer: h**(-53\/15)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 19*z + 826 + 3468. Let x = -206 - z. Calculate the remainder when 219 is divided by x.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(l) = -9*l**2 + 2*l. Let d = 133 + -134. Let p(c) = c**2 - 6*c + 3. Let q(g) = -g**2 + 2*g - 1. Let o(m) = d*p(m) - 3*q(m). Give v(o(j)).\nAnswer: -36*j**4 + 4*j**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -49*u + 18651*u**3 + 3 - 8*u**2 - 18663*u**3 - 3 + 6*u**2 to q*u**2 + d*u + o + n*u**3 and give q.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-5*(sqrt(240)\/(sqrt(56)\/sqrt(7)))\/sqrt(6) + (2*sqrt(405))\/(1*sqrt(900)))**2.\nAnswer: 484\/5","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -x + 10*x - 2*x + (-1 - 17 - 3)*(-3*x + 4*x - 3*x) to the form n*x + k and give k.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-4*sqrt(567)*-4 + sqrt(567) + (sqrt(567) + sqrt(567) + -2)*5 + sqrt(567) + -5)**2.\nAnswer: -7560*sqrt(7) + 444753","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 22212?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Total of 0.1185 and -0.11.\nAnswer: 0.0085","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (3360\/1200)\/((-2058)\/(-5635))?\nAnswer: 23\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Add together 20.6 and -114328803.\nAnswer: -114328782.4","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -88 + 82 - (4 + -20 + 6).\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: 2 * 52917.1\nAnswer: 105834.2","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.192243 rounded to three decimal places?\nAnswer: -0.192","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 869047128?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: How many decades are there in one quarter of a millennium?\nAnswer: 25","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 11951*o**2 + 43*o**3 - 434*o**2 + 3450*o**4 - 43*o**3 + 4429*o**4 wrt o?\nAnswer: 189096*o","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 16645300 to the nearest 10000.\nAnswer: 16650000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth root of 2090164760 to the nearest integer?\nAnswer: 73","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((g**1*g)**6)**5 assuming g is positive.\nAnswer: g**60","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -14 + ((-33)\/(2772\/(-832)) - (-6)\/63).\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 413670 is divided by 56.\nAnswer: 54","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the ninth root of 6798886 to the nearest integer?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve -6*l + 3*v + 7 = -10*l, 2*v = 6 for l.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*b - 2*o - 11 - 8 = 0, -4*b = 3*o + 27 for b.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Does 68 divide 21024?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is -8959 + 3?\nAnswer: -8956","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Total of -12.08302 and 15.\nAnswer: 2.91698","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*c - 5*r = -0*r + 1165, 5*r - 221 = -c. What is the highest common factor of c and 33?\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 471*v - 236*v - 230*v - 60. Suppose -4 = 3*f + f. Let x be (-55)\/(-3) + f\/3. Calculate the greatest common factor of v and x.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 65 + -46. Let x = 17 + -10. Suppose 0 = x*j - 9*j + 68. Calculate the remainder when j is divided by k.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 39545126?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -166, -334, -502, -670, -838, -1006?\nAnswer: -1174","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is -68697 at least as big as -68651?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify a**(2\/63)\/a**10*a*a\/(a\/((a\/(a\/a**(1\/19)))\/a))*a*a**(1\/8) assuming a is positive.\nAnswer: a**(-84179\/9576)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 0 - 2 + 13*z**3 + 36*z**3.\nAnswer: 49*z**3 - 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*y - 1 = -5*v, -2*v - 3*y = -4 + 22. List the prime factors of (6 - 22)*v\/4.\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 1125431067 to the nearest integer?\nAnswer: 33547","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1163 divided by -27.\nAnswer: -1163\/27","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is 377 a factor of 76531?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 101 + -150. Let a = r + 61. List the prime factors of a.\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(136)\/(1*sqrt(968) - sqrt(8) - sqrt(8)) + ((sqrt(17) + -2 + 1 + sqrt(17) - sqrt(17))**2 - ((sqrt(68) - 2*sqrt(68)) + sqrt(68))\/sqrt(4)))*4*2.\nAnswer: -136*sqrt(17)\/9 + 144","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 1613851 to the nearest integer?\nAnswer: 1270","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 1237\/7 - 177. Let p = -408\/2123 - -2\/193. What is the second smallest value in 1\/4, p, v?\nAnswer: p","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -80825 divided by 1525?\nAnswer: -53","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -10214 + 27707. Is n\/102 + (-2)\/(-4) a multiple of 15?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 3 o and 1 g when four letters picked without replacement from oholgahloallahhgg.\nAnswer: 3\/2380","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 38827\/22 + -1763. Let i = v - -288\/55. Calculate the common denominator of -40\/23 and i.\nAnswer: 230","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -4643 (base 7) to base 15.\nAnswer: -782","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*v = 6*v + 2*n - 4, -5*n = -3*v + 14. Let g(b) be the second derivative of v*b - 1\/70*b**5 + 1\/7*b**2 + 0 - 1\/42*b**4 + 1\/21*b**3. Factor g(j).\nAnswer: -2*(j - 1)*(j + 1)**2\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 694961447?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let v(t) = -t**2 + 6*t - 1. Let b be v(6). Let c(k) = -1 + 0 + 3*k**3 - 13*k**3. Determine c(b).\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of 1828, 6552, 11276, 16000?\n\"Answer: 4724*g - 2896","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 5*x - 1433672 + 1435695 - 3*x to the form i*x + n and give i.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((q\/(q\/q**(-18)))\/(q**25*q*q))**9 assuming q is positive.\nAnswer: q**(-405)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Sort -3, 1, 5, 749, -8.\nAnswer: -8, -3, 1, 5, 749","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Sort -3, -4, 0, 344, 3, -1, 231 in descending order.\nAnswer: 344, 231, 3, 0, -1, -3, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 22340 (base 8) in base 13?\nAnswer: 43b2","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 9 a factor of 17043?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 14? (a) -1.8 (b) 269 (c) 1 (d) 2\/9\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 6862 and 94?\nAnswer: 94","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 72.375 - 100.6927. Let c = r - -28.3. What is c rounded to 3 dps?\nAnswer: -0.018","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 6 = 2*g + 2*k, 2*g + k - 10*k = -49 for g.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -0.3? (a) 3 (b) -0.2 (c) -3\/11 (d) -1\/3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 6? (a) -0.1 (b) -66 (c) 2.9 (d) 0.1 (e) 2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let v(f) = -f**3 - 6*f**2 + f + 7. Suppose -21 = -3*p + 3*h, -h = 5*p + 4*h - 65. What is the lowest common multiple of v(-6) and p?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 67 minutes before 12:56 PM?\nAnswer: 11:49 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:38 AM and 7:03 PM?\nAnswer: 625","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is 115 a factor of 108445?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let d(k) = k**2 + 3*k + 1. Let f(q) = q - 15 - 4 + 2 - 5. Let a be f(16). Let j(n) = -n. Give a*j(x) - 2*d(x).\nAnswer: -2*x**2 - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-7)\/119)\/((-8)\/(-34)).\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Sort -3, 1, -110, -7, 96 in decreasing order.\nAnswer: 96, 1, -3, -7, -110","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of 2, 22, 64, 134, 238, 382, 572?\n\"Answer: u**3 + 5*u**2 - 2*u - 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*l + 18 + 9 = 2*o, 5*l = -3*o + 78. What are the prime factors of o?\nAnswer: 3, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:44 PM and 12:44 AM?\nAnswer: 60","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let q(o) = o**2 + 4*o - 20. Let k be q(3). Which is the closest to 0? (a) k (b) 1\/2 (c) 3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is nine tenths of a litre in millilitres?\nAnswer: 900","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 216 + -234.15. Round s to the nearest 10.\nAnswer: -20","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: 57 (base 14) to base 16\nAnswer: 4d","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-120)\/32*112\/70.\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from peeepeee. What is prob of sequence eee?\nAnswer: 5\/14","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve -40*q = -3*g - 126, g + 5 = 3*q - 6 for g.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let 4*f**5\/7 - 232*f**4\/7 + 332*f**3\/7 + 6904*f**2\/7 - 23136*f\/7 + 2304 = 0. Calculate f.\nAnswer: -6, 1, 3, 4, 56","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((728\/(-8346))\/(-28))\/((-23)\/69)?\nAnswer: -1\/107","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 25 + 64. Is w a multiple of 52?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -1269*j**2 - 105*j + 4 wrt j?\nAnswer: -2538","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let a(g) = -794 + 267 + 398*g**2 + 267 + 262. Does 8 divide a(1)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 356, 683, 1016, 1361, 1724, 2111, 2528?\nAnswer: 2981","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let h(t) = -16*t**2 - 10*t - 10. Suppose -2*y = -4 - 0. Let z(m) = 4*m**y - 3*m - 3*m**2 - 6*m**2 - 3. Suppose 496*w - 2700 = 361*w. Calculate w*z(g) - 6*h(g).\nAnswer: -4*g**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 5 + -2 - 1 - (-8 - -6)?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is -5 + -b8b?\nAnswer: -b94","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence qxb when three letters picked without replacement from ggxqdbqd?\nAnswer: 1\/168","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 34421549?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -15111, -30169, -45227?\nAnswer: -60285","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in h - 3*h + 4 - 2*h + 10*h.\nAnswer: 6*h + 4","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 10*h - 14 = -24. Let a be ((-840)\/75)\/(h\/30). What is the highest common factor of a and 48?\nAnswer: 48","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -1149 - -1446. Let h = 9 - -24. What is the greatest common factor of o and h?\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -13*u = -20*u + 987. Solve 571*r + 317*r + r**3 + 3858*r + 1349*r + 103823 + 532*r + u*r**2 = 0 for r.\nAnswer: -47","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -155562*f*u**2 + 50*f*u + 6*f - 2*u**2 + 2*u - 163 wrt u.\nAnswer: -311124*f - 4","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let z(l) = -3*l**2 - 153*l + 66. Let t be z(-50). Suppose 148 = 14*h - t. Solve 4*y + h = 5*g, -5*y - 3*g + 2*g = 18 for y.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*w = 12, 3*w - 2*w + 8 = -4*l. Let r(p) = 3*p**2 + 106*p - 50*p - 55*p. Let v be r(l). Solve y + 0*y - v = 0 for y.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 27998 - (-342)\/18 - 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (9\/24)\/(171\/304)?\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 11*k**3 - 23*k**3 - 13*k**2 + 13*k**2.\nAnswer: -12*k**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 148\/333 + 8\/(-18).\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(q) = -2*q**3 - 4*q**2 - 14*q + 17. Let i(n) = -n**3 - 2*n**2 - 7*n + 9. Give 11*i(x) - 6*o(x).\nAnswer: x**3 + 2*x**2 + 7*x - 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -2.249 + 2.049. What is the nearest to b in 3, -1\/179, -4?\nAnswer: -1\/179","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 1 - 2 + 5*q - 1 - q**3 - 2*q**2 - 1 to p + i*q**3 + a*q + y*q**2 and give a.\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:16 AM and 12:15 PM?\nAnswer: 359","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let g(a) = a**3 + 16*a**2 - 12*a - 474. Determine g(-7).\nAnswer: 51","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let w(b) = b**3 + 6*b**2 - 21*b - 37. Let x be w(-8). Suppose -2*t + x*t - 279 = 4*c, 2*t - 528 = -2*c. List the prime factors of t.\nAnswer: 3, 89","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 323977 is divided by 1480?\nAnswer: 1337","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Does 33 divide 39673755?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.0341033 rounded to 4 dps?\nAnswer: 0.0341","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Round -123.7 to the nearest ten.\nAnswer: -120","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 16 - 15.83. Let s = -0.2 + p. Round s to 1 dp.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out 4 * -579.72.\nAnswer: -2318.88","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let v(n) = -3*n**2 + n - 2. Let o be 15\/(15\/(-3)) - -5. Suppose 4*f - 3*y - 24 = o*f, 3*f - 6 = -3*y. Suppose f*w + 15 = 5*s + 5*w, -2*w = 0. What is v(s)?\nAnswer: -26","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(w) = -w - 1. Determine v(-10).\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let k(h) = 6*h**3 - 4*h**2 + 3*h + 2*h - 7*h**3 + h**2 - 3. Let c be k(-5). What is the highest common divisor of 88 and c?\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(l) = -6*l + 5. Let c(q) = -3*q + 3. Let t(n) = -9*c(n) + 4*k(n). What is the units digit of t(5)?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(h) = -h**2 + 8*h + 20. What is l(10)?\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 0 - -36 - (86 - 50)?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 2209179 + -966136. Is z a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 12\/36*(914 + 1).\nAnswer: 5, 61","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(t) = 2*t. Suppose -155*a + 157*a = l + 3, -3*a - 5*l = -24. Let s(i) = 4*i + 1. What is a*s(q) - 7*y(q)?\nAnswer: -2*q + 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let d(n) = -n + 1. Suppose b - 1 = -2. Let c be d(b). Let x(h) = 7*h**3 - 4*h**2 + 3*h - 1. What is the units digit of x(c)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v be -2 + 3\/(3537\/2705) + 2. Let g = v - 24\/131. What is the common denominator of -46\/5 and g?\nAnswer: 45","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 8 divide 6539489389?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: -206664*-4\nAnswer: 826656","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let q(u) = -u - 2. Let j be q(-10). Suppose -j = -s - 78. Let x = 103 + s. Calculate the greatest common factor of 11 and x.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_test"},"subset":"dm_maths"} +{"text":"Question: Let r(l) be the third derivative of l**4\/8 - l**3\/6 - l**2. Suppose 10*y = -34*y + 308. Let b(j) = -4*j - 2*j - y*j + 14*j. Calculate b(r(g)).\nAnswer: 3*g - 1","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 1 in 0.2, 4, 22\/7, 0.21?\nAnswer: 0.21","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: (-135 - -143) + (-2 - -16) - (-3 + 6)\nAnswer: 19","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -786*d**3 + 375*d**3 + 383*d**3.\nAnswer: -28*d**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*n - 5*g - 572 = -3, -4*g = -2*n + 564. Let x = n - 266. Solve 0 = -h - 3*j - 16, -x*j = -h - 2*j + 12 for h.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 2328 and 3336?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 15*g - 6*g = -7146. Let s = -385 - g. Is s a multiple of 18?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -6802378*y - y**3 - 6802360*y + 13604795*y.\nAnswer: -y**3 + 57*y","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 x and 1 o when three letters picked without replacement from ooxoxooo.\nAnswer: 3\/28","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*v - 2*d + 0*d = 42, -4*d + 28 = v. Suppose -v = -3*s - 10. Suppose 10 = s*g - 40. What is the remainder when 49 is divided by g?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*y + 5*c - 6*c + 1388, 0 = y - 2*c - 347. Calculate the remainder when y is divided by 10.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(p) be the first derivative of p**4\/4 + 10*p**3\/3 + 13*p**2\/2 + 7*p - 32. What is the remainder when v(-8) is divided by 6?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f be 685\/225 - 32\/720. Suppose 13*h - 40 = 5*h. Solve -f*a - 3*g = 12, 0 = 2*a + h*g + 2 + 6 for a.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -0.011 - -56.011. Let s = 55.93 - w. Let g = 0.069943 + s. Round g to 5 dps.\nAnswer: -0.00006","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 77\/13224 and 79\/986.\nAnswer: 224808","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let w(p) = -4*p**2 + 221*p - 3143. What is w(50)?\nAnswer: -2093","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence bbi when three letters picked without replacement from {i: 1, m: 6, b: 3, r: 3, l: 1, a: 1}?\nAnswer: 1\/455","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -2\/5? (a) 4.8 (b) 2 (c) 277\/25 (d) 4\/3\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let f(o) = -o**3 - 6*o**2 - 2*o - 3. Suppose 0 = 5*d - 2*b - b - 1, 5*d + 5*b - 25 = 0. Let j = d + 3. Calculate the remainder when f(-6) is divided by j.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(y) be the second derivative of -14*y**6\/5 - y**5\/20 - y**4\/12 + 73*y**3\/6 - 4*y - 42. What is the third derivative of t(k) wrt k?\nAnswer: -2016*k - 6","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -54 + 55. Which is the third smallest value? (a) -0.2 (b) -6 (c) v (d) -3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -91*u**3 + 0*u**2 + u**2 + 613*u**3.\nAnswer: 522*u**3 + u**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Put -191, 4, 1 in decreasing order.\nAnswer: 4, 1, -191","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = m - 3 - 63. What is the units digit of m?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(w) = -9*w**2 - 2*w + 1. Let r(l) = l**3 + 4*l**2 - 5*l + 3. Let g be r(-5). Suppose -g*p - 2 - 7 = 0, 4*u - 51 = 5*p. Let y = 10 - u. What is c(y)?\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 10 a factor of 94760?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let m(y) = -2*y. Let v be m(6). Suppose -59 = 4*d + 3*p, 4*p - 11 = 3*d + 27. Let l = v - d. Solve 3 = w - l for w.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(l) = -3*l**2 + 1. Suppose 1 = 4*k - 3. Calculate i(k).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(q) = 24*q**2 - 2*q. Let o(s) be the third derivative of s**5\/60 + 33*s**2. Determine m(o(a)).\nAnswer: 24*a**4 - 2*a**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let k be 2*((-1)\/2 + 2). Suppose -k*h - 22 = h - 2*v, -37 = 4*h - 5*v. Suppose -m = 4*l - 5*l + 3, -6 = 2*l + m. Sort h, 4, l in descending order.\nAnswer: 4, l, h","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(d) be the third derivative of d**5\/60 - d**4\/8 + d**3 - d**2. Let h be c(5). Calculate the greatest common factor of 2 and h.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(n) = 2*n**2 + 2*n - 15. Let s be j(-5). Suppose -4*x = 3*g - 23, -x + 6*x - s = -3*g. Suppose -9 = x*v - 11. Solve b + v = -1 for b.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7*a = b + 11*a + 9, -3*b + 3*a = 12. Let p be (0 - 0) + (0 - -5). Suppose 5*k + 0 - 5 = 0. Sort b, -1, p, k in increasing order.\nAnswer: b, -1, k, p","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 3410 and 15345.\nAnswer: 30690","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (-8724)\/(-72)*(12 + 0) - 2. Is 1451 greater than z?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -250 - -1748\/7. Which is the fourth biggest value? (a) -7 (b) i (c) 0.5 (d) -0.5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of 1460, 5846, 13178, 23450, 36656, 52790, 71846, 93818?\n\"Answer: -a**3 + 1479*a**2 - 44*a + 26","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Does 73 divide 17812?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-10)\/84)\/(1920\/(-2048)*(-6)\/(-9))?\nAnswer: 4\/21","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 33 - 15. Suppose 30 = 3*y - 0*y. What is the smallest common multiple of m and y?\nAnswer: 90","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(p) be the second derivative of p**8\/28 + 142*p**6\/5 + p**4\/2 + 28*p**2 + 101*p - 6. Find the third derivative of m(q) wrt q.\nAnswer: 240*q**3 + 20448*q","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 2.05 - 0.05. Let o = j + -2.2. Is o <= 2?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 283 minutes before 4:45 AM?\nAnswer: 12:02 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let o(z) = -1 - z**2 - z + z**2 + z**2. Calculate the remainder when 1 is divided by o(2).\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is three eighths of a litre in millilitres?\nAnswer: 375","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -44306 and -5?\nAnswer: 221530","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: 2*((-4)\/(-10))\/((-4)\/(-20))\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of 6460, 12459, 18444, 24415, 30372, 36315?\n\"Answer: -7*n**2 + 6020*n + 447","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-20 - -17 - (-2 + 0)) + 6?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -67, -57, 1, 107, 261, 463?\nAnswer: 713","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 5*(4 + ((0 + (sqrt(162) - (2 + sqrt(162)))*-1)*-1)**2)*-4*-4.\nAnswer: 640","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-2)\/4)\/((-535)\/(-642))?\nAnswer: -3\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 970733.\nAnswer: 263, 3691","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 0\/((-9)\/((-72)\/(-16)))*1.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 2216\/31855*5\/(-4) + (1263\/(-552) - -2)?\nAnswer: -3\/8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 3 (base 8) to base 3.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(5200)*-1)\/(sqrt(16)\/sqrt(484)).\nAnswer: -110*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 1154 and 683940026?\nAnswer: 1154","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let -2*l**5 + 2*l**4 = 0. Calculate l.\nAnswer: 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (j\/(((j\/((j\/(j*j*j**(-1\/20)*j*j))\/j))\/j*j*j)\/j)*j*j**(3\/2))**(-15) assuming j is positive.\nAnswer: j**(87\/4)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let m(r) = -27*r - 5. Let d(p) = 14*p + 3. Give -7*d(h) - 4*m(h).\nAnswer: 10*h - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -481*g**3 - 3*g - 720 wrt g?\nAnswer: -1443*g**2 - 3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 8*h - 16 - 8 = 0 for h.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 86809647 to the power of 1\/5, to the nearest integer?\nAnswer: 39","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Express 1427*c + 39*c**2 - 12*c**2 - 1427*c + 75 as y*c + x + o*c**2 and give x.\nAnswer: 75","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence yxx when three letters picked without replacement from {x: 2, u: 6, y: 1, l: 1, w: 8, r: 2}.\nAnswer: 1\/3420","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) -0.6 (b) -2\/9 (c) -231 (d) 4 (e) -3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 85 - 40. Suppose 5*z + f + 60 = 5*k, -k - z + 27 = 0. Suppose -3*j = 2*i - k, 28 = i - 3*j + 7. What is the highest common divisor of 10 and i?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1820 a factor of 3176941040?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Does 10 divide 246312?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence hh when two letters picked without replacement from {c: 7, h: 2}.\nAnswer: 1\/36","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of -2266, 2514, 7294, 12074, 16854?\n\"Answer: 4780*o - 7046","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*d - 17 = 4*r, -3*r - 2*d = d - 3. Let o(l) be the third derivative of 0*l + 1\/6*l**3 + 0 - 1\/24*l**4 - 12*l**2. Give o(r).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -3 - -4. Let o be ((-73)\/12)\/((-42)\/504). Suppose -3*v = -o + p. Calculate the greatest common factor of v and 12.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (65\/(-26) - -7) + -3.\nAnswer: 3\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is 5 + 52a74?\nAnswer: 52a79","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose k = -0*k + 32. Let v = -20 + k. Suppose 2 = l - 2*i + v, -5*i = 3*l - 25. Sort 2, 3, l in decreasing order.\nAnswer: 3, 2, l","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 1683 - 22*g**3 + 2*g**2 - 1683 + 4*g + 2*g**3 - g**3 - 3*g**3 + (-6*g**3 - 2*g**3 - 6*g**3)*(-4 + 2 + 0).\nAnswer: 4*g**3 + 2*g**2 + 4*g","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((b*b**6)\/b)**(6\/5))**36 assuming b is positive.\nAnswer: b**(1296\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 3067, 12615, 28521, 50791, 79431, 114447?\nAnswer: 155845","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -0.07 and 205.\nAnswer: -14.35","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.06287 take away 79728.7?\nAnswer: -79728.63713","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 53056490.57 rounded to the nearest one thousand?\nAnswer: 53056000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 398, 796, 1262, 1802, 2422, 3128, 3926?\nAnswer: 4822","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let j(d) = 2*d**2 - 21*d - 56. Let h be j(-3). Suppose 13*v + 3012 = h*v. List the prime factors of v.\nAnswer: 251","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1958648.\nAnswer: 2, 103, 2377","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8 = 5*s - 6*s. Let y be (s\/(-48))\/(2\/(-12)). Solve 3*i - 2 = -3*w + y, -3*w - 4*i = -2 for w.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 24264 and 24?\nAnswer: 24264","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let x(t) = 206*t - 18. Let g(k) = -205*k + 18. Let u(l) = -2*g(l) - 3*x(l). Let r be u(-6). Is 6\/12*r\/3 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(w) = 1. Let z(a) = 3*a**2 - 6. Let h(b) = 6*o(b) + z(b). Let x be h(-2). Suppose 0 = 4*g - 0*g - 2*d - 24, -4*d + x = 2*g. Does 6 divide g?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -9473059 + 5486278. Let o = q - -3986780.18999828. Let m = o - -0.81. Round m to 7 decimal places.\nAnswer: -0.0000017","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 62 - 59. Let t(h) = h**2 + 11*h + 3. Let d be t(-11). Suppose -l*p = -d*k - 72, 5*k + 4 + 72 = 3*p. What is the tens digit of p?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify d*(d\/(d*d\/((d\/(d**(2\/9)*d*d))\/d))*d)\/d*d**(3\/5)*((d*(d**(-1\/4)\/d)\/d)\/d)**(-25\/3) assuming d is positive.\nAnswer: d**(3083\/180)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -2\/1453 or -1?\nAnswer: -2\/1453","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -2*s**5 + 23402077*s**4 - 3802595*s**2 - 9?\nAnswer: -120*s**2 + 561649848*s","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let k(m) = 2 - 2 - m**2. Let o = 0 - -4. Let h(c) = -9 + 9 - o*c. What is h(k(j))?\nAnswer: 4*j**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*f = -8*f - 20. Suppose 748*o - 250*o + 330 - 1722 = -198*o. Sort -7, f, o, 5 in increasing order.\nAnswer: -7, f, o, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence zz when two letters picked without replacement from {i: 5, z: 13}?\nAnswer: 26\/51","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 476 and 12597578.\nAnswer: 25195156","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:49 PM and 12:08 AM?\nAnswer: 439","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of 143143, 286463, 429787, 573115?\n\"Answer: 2*j**2 + 143314*j - 173","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 25529*u**2 - 518*u**4 - 323*u**4 - 25816*u**2 wrt u?\nAnswer: -20184*u","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 3495 (base 15) in base 9?\nAnswer: 16275","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 2208 and 47403.\nAnswer: 69","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Does 80 divide 5501750?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 0.21 - -0.29. Let g be ((-8)\/576*-6)\/(((-88)\/72)\/11). Let r = -46 - -25. Put r, i, g in descending order.\nAnswer: i, g, r","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {m: 2, o: 1}. Give prob of sequence om.\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: 3405 divided by -69\nAnswer: -1135\/23","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is 34138211 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 54 and 738?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is 63 a factor of 22412?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:53 AM and 10:37 AM?\nAnswer: 44","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.003185 to four decimal places.\nAnswer: 0.0032","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 0.2 + 0.8. Let k(f) = -f**3 - 3*f**2 + 6*f + 6. Let j be k(-4). Let d = j - -2. Which is the second smallest value? (a) t (b) 0.2 (c) d\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is -21 + -39834?\nAnswer: -39855","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Product of 332 and 15.\nAnswer: 4980","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -0.1248 + 2.1248. Which is the nearest to 0.13? (a) 0.26 (b) y (c) -0.2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 n and 2 q when three letters picked without replacement from {n: 7, q: 12}.\nAnswer: 154\/323","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 w, 1 q, and 1 i when three letters picked without replacement from qiwq.\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 69292*j**2*z**5 - 11*j**2 + 3*j*z**6 + 695*j*z**2 - 2*j*z + 2*z**2 wrt z?\nAnswer: 4157520*j**2*z**2 + 360*j*z**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -1430516 - 41557*b + 1430516.\nAnswer: -41557*b","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*f = -3*b - 0*b - 1, 3*b + f = 14. Let r(m) = 3*m + 4. What is the remainder when 37 is divided by r(b)?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -0.45*0.1.\nAnswer: -0.045","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:04 AM and 9:26 AM?\nAnswer: 142","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -3*m**6 - 304989*m**3 - 4035550*m**2 wrt m?\nAnswer: -360*m**3 - 1829934","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {i: 1, c: 3, h: 1, p: 1, s: 2, y: 3}. What is prob of sequence hsi?\nAnswer: 1\/495","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is 110112032 + -2?\nAnswer: 110112030","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -3*p**3*w**5 + 6*p**3*w**2 + 135*p**3*w - p**2 + 2*w**3 wrt w?\nAnswer: -60*p**3*w**3 + 12*p**3 + 12*w","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*p = -4*g - 47 - 45, -2*g - 136 = -4*p. Let a(y) = p - 3 + 2*y - 9 - 23 + 2*y. Determine a(5).\nAnswer: 21","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -2*b*m**3 - b*m**2 + 4*b*m + 26*b - 31*m**3 wrt m.\nAnswer: -12*b - 186","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-5*(sqrt(204) + (1*sqrt(204) - sqrt(204))) - -1*sqrt(204)*-1)\/((sqrt(120)*1)\/sqrt(10)*-2) + -4.\nAnswer: -4 + 3*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 12 = 4*b, 5*b = 2*d - 3*d + 17. Let i(l) = 1 - 3*l + 3*l - l**d - 7*l. Let k be i(-7). Is k smaller than 2\/13?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: 2 + -17 - (99 + -112)\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 9*p = g + 19, 3*g + 4 - 9 = -4*p. Which is the nearest to -5? (a) g (b) -0.02 (c) -1.1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: -1232 (base 4) to base 9\nAnswer: -132","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in three tenths of a litre?\nAnswer: 300","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-2)\/(1 - 2 - -16).\nAnswer: -2\/15","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of -5, -45, -91, -131, -153?\n\"Answer: 2*t**3 - 15*t**2 - 9*t + 17","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 228274 less than 47\/4?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Express -19*c + 17*c + 8 + 0 - 1 in the form n + f*c and give f.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let b(q) = -441*q + 443. Let u be b(1). Solve 1\/2 - 1\/2*m**3 + 3\/2*m**u - 3\/2*m = 0 for m.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 33\/(-66)*2*(-2)\/14?\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 144\/180 - 13057\/16490 and -73\/1358.\nAnswer: 23086","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 516 and 2216.\nAnswer: 285864","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve -417*u - 139 + 403 = -394*u - 702 for u.\nAnswer: 42","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 1713*x**3 - 440*x**3 + 2*x**2 - 4*x**2.\nAnswer: 1273*x**3 - 2*x**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Round 41110 to the nearest one thousand.\nAnswer: 41000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let a(o) = 114*o**2 - 34*o - 7. Let v be a(-4). Let p = -1235 + v. Does 13 divide p?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(a) be the second derivative of -323*a**7\/21 - 713*a**3\/6 - 1421*a. What is the second derivative of w(t) wrt t?\nAnswer: -12920*t**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 34587 divided by -183.\nAnswer: -189","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {p: 2, s: 3, v: 1, x: 6}. What is prob of sequence vp?\nAnswer: 1\/66","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let w(z) = -15*z - 244. Let y be w(-19). Are y and 37 nonequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.00059412 rounded to six decimal places?\nAnswer: 0.000594","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*r - 5*t = -1, 5*t = 3*r + r - 2. Suppose 0 = r*p - 12 - 3. List the prime factors of p.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(r) = -r**3 - 9*r**2 + 6*r - 1. Let b be h(-10). Let z be (b\/(-21) - -3) + -2. Are -2 and z nonequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*c + 5 = -3*c, 0 = -2*p + 5*c - 67. What is the closest to p in 0, 4, -1\/2?\nAnswer: -1\/2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -41627.9342 to the nearest one thousand.\nAnswer: -42000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is (-40)\/(-52) - (-107272)\/(-158470)?\nAnswer: 6\/65","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 73 (base 15) in base 10?\nAnswer: 108","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 75409.94l?\nAnswer: 75409940","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of 511315, 1022568, 1533821, 2045074, 2556327, 3067580?\n\"Answer: 511253*z + 62","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -14 + 20. What is the remainder when 20 is divided by w?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8*i = 2*i - 5*i. Suppose 3*x + 3*x = i. Suppose 30 = -x*g + 10*g. Solve -2*z = o + o, g*z = -5*o for o.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 311911683 a multiple of 2?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve 6*w**4\/11 - 5546*w**3\/11 + 822288*w**2\/11 - 33644232*w\/11 + 11123584\/11 = 0 for w.\nAnswer: 1\/3, 86, 752","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 3 v and 1 w when four letters picked without replacement from {v: 3, w: 4, h: 2}.\nAnswer: 2\/63","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify f**7\/(f\/(f\/(((f*f**3)\/f)\/f)))*f\/f**(1\/8)*f**(-2\/3)\/f*(f**(-3)\/(f\/(f*f**(-1\/2)\/f)*f))\/(((f\/f**(2\/7))\/f)\/(f*f**(1\/4)*f)) assuming f is positive.\nAnswer: f**(209\/168)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Factor 0*n + 0 + 10\/3*n**4 - 8\/3*n**2 - 4\/3*n**3 - n**5.\nAnswer: -n**2*(n - 2)**2*(3*n + 2)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 3200 and 3760.\nAnswer: 80","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 104471870?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 1172 and 1019054.\nAnswer: 586","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 12 and 11328.\nAnswer: 11328","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*y - 76*a = -150, -576*a = -4*y - 573*a - 10 for y.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_test"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is 0 - -4?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when -1269*4\/(-6) - -8 is divided by 33?\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 46 + (86 - (38 + 77))?\nAnswer: 17","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of -1606, -3217, -4828, -6439, -8050?\n\"Answer: -1611*j + 5","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 2 - (2 + 3 + -7) - 3?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(c) = 5*c + 5. Let t(k) = 31513*k**2. Calculate a(t(d)).\nAnswer: 157565*d**2 + 5","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 32 and 200.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 4147 and 533?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 698 + -678. What is the remainder when 30 is divided by g?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(j) be the third derivative of -11*j**7\/5040 + j**6\/720 + j**5\/20 + j**2. Let f(x) be the third derivative of m(x). Let u = -17 - -18. Determine f(u).\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(j) = 4*j**2 - 12*j - 2. Let t(w) = 115*w. Give h(t(i)).\nAnswer: 52900*i**2 - 1380*i - 2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 432 minutes before 12:02 AM?\nAnswer: 4:50 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 0*w**3 - 19*w**3 - 2 + 2.\nAnswer: -19*w**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let n(h) = -h**3 + 35*h**2 - 171*h + 63. What is n(29)?\nAnswer: 150","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {w: 2, d: 4}. Give prob of picking 2 w and 1 d.\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 t and 2 w when three letters picked without replacement from tjwttyetjjjjjtttwyej.\nAnswer: 7\/1140","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 1 + -5. What is the common denominator of ((-2)\/(-88))\/(v\/(-248)) and 1\/26?\nAnswer: 286","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:51 AM and 12:19 PM?\nAnswer: 628","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 56 = 19*v + 37*v. Sort -22, -4, 2, v in increasing order.\nAnswer: -22, -4, v, 2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 331 minutes after 9:40 AM?\nAnswer: 3:11 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is 20453908259 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is 1 - b?\nAnswer: -a","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Expand -86*y**4 - 8*y + 64*y**4 - 52*y**4 + (-y**2 - 2*y**2 + 5*y**2)*(-2*y**2 + 4*y**2 - y**2) - 2*y**4 + 0*y**4 + 4*y**4 + 0*y + 0*y - y**4.\nAnswer: -71*y**4 - 8*y","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 4 n when four letters picked without replacement from tttttnttttntntnttnt.\nAnswer: 5\/3876","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 21971 + -6347. Does 31 divide x?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(i) be the second derivative of -i**5\/20 + i**4\/2 - 2*i**3\/3 - i**2\/2 - 4*i. Let g be l(5). Suppose -3 = d - 2, t - g*d = 93. Is t a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c be -5607*(1 - -4) - (-1 - -1). Let k be 6\/14 + c\/245. Let m = 114 + k. Solve m = -6*j + 4*j + 8 for j.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence heh when three letters picked without replacement from hhe?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {p: 11, d: 3, n: 2, j: 3}. What is prob of sequence dnd?\nAnswer: 2\/969","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0.01 in 815\/6, 11, -0.3?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 252496?\nAnswer: 2, 43, 367","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let s(i) be the second derivative of -107*i**3\/6 - 119*i**2\/2 + 56*i. What is the first derivative of s(o) wrt o?\nAnswer: -107","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -108*t + 111*t = 15. Suppose -t*n = 263 - 2703. What is the units digit of n?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -i - i = -8. Let j be 4 + 2\/(2 - i). Suppose -a + 5 = 2*w, w - 3*a = 2*a - j. What is the units digit of w?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-4*(-1 + sqrt(1008) + -1) + 3)**2.\nAnswer: -1056*sqrt(7) + 16249","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 4 and 17?\nAnswer: 68","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 656475?\nAnswer: 3, 5, 8753","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) -2 (b) -1 (c) -991\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -0.1 and 0.5867881.\nAnswer: -0.05867881","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Product of 96838 and -9.\nAnswer: -871542","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*i - 138 = o - 4*o, -3*o = 3*i - 141. Suppose 2*p - 4*p - o = 0. Does 10 divide (-2 - 0) + p\/(-1)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(u) be the second derivative of -2*u**7\/35 + 29*u**6\/50 + 87*u**5\/100 - 37*u**4\/20 - 5*u**3\/2 + 12*u**2\/5 - 51*u. Find k such that c(k) = 0.\nAnswer: -1, 1\/4, 1, 8","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(q) = 4*q**2 - 3342*q - 697887. Calculate i(-173).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let c(d) = -d**3 + 202*d**2 - 2468*d + 582. Calculate c(189).\nAnswer: -1497","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is -3447218\/3 smaller than -1149074?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -141904349, -141904350, -141904353, -141904358?\nAnswer: -141904365","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let w be 3 - 7\/3 - (-4)\/(-6). Suppose w = -q - 2*q + 5*a + 37, 0 = 4*q + 2*a - 6. Put 1, q, 7 in descending order.\nAnswer: 7, q, 1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(m) be the second derivative of 11*m**7\/6 - m**3\/6 - 15*m**2\/2 + 30*m + 1. Find the second derivative of c(n) wrt n.\nAnswer: 1540*n**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (-12 + 12 - 10)*(-48*j + 168*j - 67*j) + (2 - 3 + 2)*(j - j + j) in the form p + n*j and give n.\nAnswer: -529","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is -2 (base 15) in base 14?\nAnswer: -2","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-284)\/497)\/((-1)\/(-2)*4)?\nAnswer: -2\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -29 + 24. Let s be -3515 + i + 2 + 4. Is (s\/70)\/(2\/(-10)) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -623 + 282. Let g = -336 - b. Solve 25 = g*m - 0 for m.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 93 and 309.\nAnswer: 9579","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Express (0 - 2 + 3)*(29 - 29 - 8*c)*(-5 + 1 - 5) as t + o*c and give o.\nAnswer: 72","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Divide 42226464 by 112.\nAnswer: 377022","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 713020 is divided by 2417.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) 0.5 (b) -0.02 (c) -0.4 (d) -2\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let i(p) be the third derivative of 0 - 5\/2*p**3 + 7\/24*p**4 + 8*p**2 + 0*p. What is the tens digit of i(6)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -3800, -14097, -31240, -55229, -86064, -123745?\nAnswer: -168272","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*k - 242 = 2*m - 250, -2 = 3*m + k for m.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-4 - 3900\/(-976))*-12*-9*20\/(-270).\nAnswer: 2\/61","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ninth root of 1458 to the nearest integer?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let q(w) = w. Let x be 4\/1 + (11 - 9). Let d(k) = 10 + 4*k - 4 - x. Determine d(q(u)).\nAnswer: 4*u","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -9*d**2 + d**2 + 3*d**2.\nAnswer: -5*d**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-2)\/(-4)*(14 + -26)?\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(u) be the first derivative of 0*u + 3 + 0*u**2 + 1\/15*u**3. Factor d(q).\nAnswer: q**2\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(x) be the first derivative of x**4\/4 - 2*x**3 + x**2 + 12*x - 2602. What is u(3)?\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 23*r = 495 - 679 for r.\nAnswer: -8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) 2 (b) -15 (c) 1\/2 (d) -2 (e) 7 (f) -1 (g) 113\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is -130033 (base 5) in base 10?\nAnswer: -5018","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((((d**4*d)\/d)\/d*d*d)\/(d**(-1\/9)*d)*(d\/(d**(-2\/7)\/d))**22)\/((d**(-2)*d\/((d\/(d*d*d**8))\/d))\/(d**(-1\/8)*d\/(d\/(d*d**2*d*d)*d))) assuming d is positive.\nAnswer: d**(24833\/504)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1 + -29 + 2 + (270 - 258).\nAnswer: -14","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let j be 4\/(12\/(-8) + 2). Let g = 10 - j. Let p be (-60)\/21 - (-4)\/28*6. Which is the nearest to -11? (a) p (b) 3\/4 (c) g\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*k = 2*d + 40, 5*k - 6*k - 4*d - 26 = 0. Let x(z) = -93*z + 65. What is the units digit of x(k)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-4)\/12)\/(33\/36*-2)?\nAnswer: 2\/11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is -6 plus -2121.6?\nAnswer: -2127.6","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 7844*n**4*s**2 - n**4*s - 6*n*s - 17*s**2 - 5*s - 3 wrt n.\nAnswer: 94128*n**2*s**2 - 12*n**2*s","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve -7*d - 3*z + 167 = 0, 2095*z - 2090*z - 56 = -2*d for d.\nAnswer: 23","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Express -3*f + 2*f + 2*f + (3 - 4 + 2)*(3*f + f - 5*f) + 2*f + 2*f - 6*f + 21094*f + 144675102 - 144675102 as n*f + p and give p.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let d(s) = -2*s**2. Let z(a) be the first derivative of -2*a**3\/3 + 1204*a**2 + 721. Give z(d(t)).\nAnswer: -8*t**4 - 4816*t**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 104982 to the power of 1\/7, to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 13 + -16. Let v(i) = 2*i**2 - 7. Let n(z) = -2 + z**2 + z - 4 - 1. Let u(r) = -5*n(r) + 4*v(r). Let f(d) = 2*d**2 - 3*d + 4. Determine y*u(o) + 5*f(o).\nAnswer: o**2 - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Sort 6, -9004, -3\/5 in ascending order.\nAnswer: -9004, -3\/5, 6","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve -7*n = -17*n - 40 for n.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (54\/8 - 6) + 3\/12.\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 3 + (6*sqrt(170)*1)\/(sqrt(360) + sqrt(360)*-2) + (sqrt(34)\/(-1*sqrt(2)) - sqrt(17) - (-2 + sqrt(1700))**2).\nAnswer: -1701 + 37*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*r + 17 = -2*x, 4*x + r + 61 = 82 for x.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is 26 a factor of 1234?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Does -790 = -805?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Work out -4961 * -18.\nAnswer: 89298","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1434.\nAnswer: 2, 3, 239","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 76870?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ww when two letters picked without replacement from {a: 7, w: 3}.\nAnswer: 1\/15","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 5 + -5 + (-4 - -9)?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 0.16 - 3.16. Let f = p + 3. Which is the closest to f? (a) -2 (b) -2\/3 (c) -3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*r - 305 = -1070. Calculate the common denominator of 49\/8 and 3\/3 - r\/18.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth root of 6100 to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -z + 6 = f, 2*z - 6*z = -2*f. Suppose -5*r = -90 + 10. Calculate the lowest common multiple of z and r.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(r) = -169*r + 5148. Let q be u(31). Let y(z) = 47*z + 2. Let j be y(-2). Is q bigger than j?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(b) = b**3 - 4*b**2 + b + 3. Let k be m(2). Let i(h) = h**3 + 3*h**2 - 4*h. What is i(k)?\nAnswer: 12","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 13 - 2 - 0 - (1 - (31 - 35))?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -108*l + 104*l = 0. Suppose l = -0*n - 5*n + 325. What is the remainder when n is divided by 34?\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(s) = 6*s - 68. Let i(q) = -206 + 22*q - 133 + 8*q. Let x(m) = 24*b(m) - 5*i(m). Differentiate x(k) with respect to k.\nAnswer: -6","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-2*sqrt(18))\/sqrt(6) + sqrt(36)\/(sqrt(24)\/sqrt(2)) - (-2 + sqrt(3)*3 + -4))*5.\nAnswer: -20*sqrt(3) + 30","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is 690 a multiple of 5?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 34 is divided by 20?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 16 - 10. Let s = 196.088 + -195.688. What is the smallest value in 2\/11, 5, s, d?\nAnswer: 2\/11","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -53\/11 - 657\/44. Find the common denominator of u and 21\/32.\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: -66 + 27 + -30 + 9 + -11\nAnswer: -71","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 212841725?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 3*(-1)\/27*3?\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (-133)\/28*2*-2. Let p = 22 - l. Suppose -3*z + 240 = 213. What is the highest common divisor of p and z?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve s = 5*g - 13, 379*g - 7 = 377*g + s for g.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 83767 and 211?\nAnswer: 211","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -228 - 8*k**2 + 26*k**2 - 5*k + 7*k - 15*k**2.\nAnswer: 3*k**2 + 2*k - 228","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let t be 1 + -1 - 2 - -20. Suppose 2*u - 24 = -7*g + 2*g, -3*u = 4*g - 22. Suppose -t = -a - u*a. What is the units digit of a?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -t = -i + 4, -t - 739 = i - 737 for t.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*p + 2*j - 76 = -7, p - 30 = -3*j. Put -4, p, 0 in ascending order.\nAnswer: -4, 0, p","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 28 a factor of 111916?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -4*(1\/(-4))\/(5\/(-4)).\nAnswer: -4\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -262 + -101. Let d = o - -633. Suppose 0 = -3*q - 2*q + d. What is the units digit of q?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 9*c - 10*c + 3*c - c.\nAnswer: c","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (-25)\/(-20) - 1\/2. Let i = -1866 - -1861. Which is the third smallest value? (a) i (b) f (c) 18\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) -25 (b) 185\/3 (c) 1\/10 (d) -4\/3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: 0.17 times 65704\nAnswer: 11169.68","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Divide -3 by -10735.\nAnswer: 3\/10735","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -1707 + 1707 + 362*j**2 + (2 + 0 + 0)*(-2*j**2 + 4*j**2 + 0*j**2) - j**2 - 3 + 3 to the form a*j**2 + o*j + q and give q.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence oo when two letters picked without replacement from {f: 1, o: 4, d: 1, y: 1, l: 5}.\nAnswer: 1\/11","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (((-192)\/28)\/(-8))\/(72\/(-48)).\nAnswer: -4\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let r be 432\/104 + 4\/(-26). Let b be 7\/(-28) - (-25)\/r. What is the third derivative of b*x**4 + 8*x**4 - 4*x**4 + 6*x**2 wrt x?\nAnswer: 240*x","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 77, -1, -4, 19, 0 in descending order.\nAnswer: 77, 19, 0, -1, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3748 - 2720 = -729*u + 14322 + 6389 for u.\nAnswer: 27","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -73 + 25. Calculate the remainder when (4 + k)*1*(-2)\/4 is divided by 4.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 8\/12019 and -19\/35.\nAnswer: 60095","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let z be 69\/9 - 3\/(-9). Suppose h = -3*h + z. Calculate the lowest common multiple of 30 and h.\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(u) = 6*u**2 - u + 2. Let p = 16 - 14. Is 12 a factor of m(p)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -28073 not equal to -28063?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let s(t) be the second derivative of t**4\/12 + 7*t**3\/6 - 2*t**2 + 2*t. Let v be s(-7). Let n be v\/8 + (-2)\/(-4). What is n rounded to the nearest ten?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 690 divided by 41395?\nAnswer: 138\/8279","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Divide -14373690 by 57.\nAnswer: -252170","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (-3 - (-267 - 1)) + -3. Suppose -4*p + y = -322. What is the units digit of p?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (2 + -1262 - 2)*5\/5. Let f = -631 - i. Is f a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 4592207?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let r(i) be the third derivative of 145*i**9\/504 + 7*i**5\/15 + i**4\/24 - 97*i**2. What is the third derivative of r(a) wrt a?\nAnswer: 17400*a**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1155 = -143*j + 220*j for j.\nAnswer: -15","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let g(x) = 2*x - 15. Let w be g(5). Let m be w\/((-20)\/16) + (-12)\/4. Solve y = -2 + m for y.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(j) = -7*j + 2. Let o be z(7). Is -47 less than o?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 536213 is divided by 97?\nAnswer: 94","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence qqqq when four letters picked without replacement from qqqqq?\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 180 and 13860?\nAnswer: 13860","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let m(j) = -50*j - 2 + 1 + 46*j. What is the units digit of m(-9)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -1070330 divided by -107033?\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 7756411?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is 345 a factor of 1785987030?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let p(a) = a**3 - 6*a**2 - 14*a - 9. Let u be p(9). What is the greatest common factor of 24 and u?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(d) = d**3 - 6*d**2 + d - 5. Let c(o) = 3*o**3 - 19*o**2 + 3*o - 15. Let a = -39634 - -39632. What is a*c(z) + 7*j(z)?\nAnswer: z**3 - 4*z**2 + z - 5","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: (-18*4)\/((-15)\/30*3\/1)\nAnswer: 48","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 16 + -13. Determine z so that 6 - 6*z + 6*z**4 + 21*z - 12*z**2 + 20*z**5 - 5*z**5 - 30*z**r = 0.\nAnswer: -1, -2\/5, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(o) = 22*o**2 + 52*o - 56 - 62*o + 92. What are the prime factors of x(4)?\nAnswer: 2, 3, 29","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(t) = -2*t**3 + 7*t**2 + 41*t + 72. Let w be 4\/6 + 50\/15. Suppose -82 - 150 = -w*a. Calculate the remainder when a is divided by c(7).\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -36a97 (base 15) to base 7.\nAnswer: -1324540","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*f - 8*f = 40*f - 172. Factor 8\/7*t - 6\/7 - 8\/21*t**3 + 4\/21*t**2 - 2\/21*t**f.\nAnswer: -2*(t - 1)**2*(t + 3)**2\/21","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0*t - t + 2*t)*(-444*t**4 - 496*t**4 - 115*t**4).\nAnswer: -1055*t**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -79\/24294 and 26\/4020657.\nAnswer: 8041314","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in 1, -54, -5, 0.3847?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Convert -104251 (base 7) to base 13.\nAnswer: -8449","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) -3\/5 (b) 2\/17 (c) 5 (d) -0.4 (e) 1\/584 (f) -0.5\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Work out -40420 * -6.\nAnswer: 242520","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let -p**4 + 2445*p**3 - 31615*p**2 - 2445*p + 31616 = 0. Calculate p.\nAnswer: -1, 1, 13, 2432","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -12*g + 15*g - 26094. Is g a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(t) = -t**2 - t - 2. Let g(j) = -3*j**3 - 13*j**2 - 2*j - 2. Calculate g(h) - p(h).\nAnswer: -3*h**3 - 12*h**2 - h","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (l\/(l\/(l**(2\/5)*l))*l**9)\/((l*l\/(l*(l\/(l\/l**(3\/5)))\/l)*l*l*l)\/l)**(-49) assuming l is positive.\nAnswer: l**177","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 1\/217 - 94\/217. Let k be (-9)\/15 - (-1 + 0). Which is the third smallest value? (a) v (b) -13 (c) k\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(l) = -35*l - 23. Let p(b) = 12*b + 8. Let y(f) = -17*p(f) - 6*x(f). Let o = 2187 - 2189. What is y(o)?\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(o) = o**3 + o**2 - o - 1. Let i(n) = -6*n**3 - 3*n**2 + 3*n - 1. Let j(v) = 11*v**3 + 6*v**2 - 6*v + 1. Let t(d) = 5*i(d) + 3*j(d). Give 4*s(q) - 2*t(q).\nAnswer: -2*q**3 - 2*q**2 + 2*q","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -9729570*a**5 + a**4 + 265423153*a wrt a.\nAnswer: -194591400*a**3 + 12*a**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 4*k + 0*k + 6 + 0*k.\nAnswer: 4*k + 6","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (q**(2\/3)*q)**(-8)*(q\/q**(5\/3))\/(q*q*q\/q**(1\/12)) assuming q is positive.\nAnswer: q**(-203\/12)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 10.97 + -11. Is t <= 0.1?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(t) = t**3 - 7*t**2 + 9*t + 9. Let n be c(5). Solve -27 = n*i - 7 for i.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2992.\nAnswer: 2, 11, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 103\/685314 and 107\/39886?\nAnswer: 7538454","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 62991045 and 1185?\nAnswer: 1185","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 13*l - 21 + 10*l - 25*l wrt l.\nAnswer: -2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 54076126 to the power of 1\/2, to the nearest integer?\nAnswer: 7354","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let f(n) = -4*n**2 - 14*n. Let s(k) = 3*k**2 + 9*k. Let i(m) = 5*f(m) + 8*s(m). Find the second derivative of i(b) wrt b.\nAnswer: 8","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 518, 3986, 13396, 31718, 61922, 106978, 169856, 253526?\nAnswer: 360958","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -67 - -69. Solve 6 = -q*z + 4 for z.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: 118*-30.248\nAnswer: -3569.264","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -3.8 - 0. Let c = z - 1.7. Let j = -6 - c. Put 4, 2\/7, j in ascending order.\nAnswer: j, 2\/7, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in 2, -0.8, 0.25, -0.04, 24?\nAnswer: -0.04","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is eleven halves of a litre in millilitres?\nAnswer: 5500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (z\/z**(-29))\/z**(-48) assuming z is positive.\nAnswer: z**78","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 1? (a) 3 (b) 5 (c) 11 (d) 2\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 248217 is divided by 42.\nAnswer: 39","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let r(p) = 3*p**2. Let m(q) be the second derivative of -q**3\/2 - q**2\/2 - 5*q. Determine m(r(i)).\nAnswer: -9*i**2 - 1","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 65\/504 and -41\/52920?\nAnswer: 52920","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (-15)\/(-6) - (-72202)\/(-4). Let q = -1407865\/78 - i. Find the common denominator of -49\/18 and q.\nAnswer: 234","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*b + 45 = 5*s, 5*s - 18*b + 22*b - 42 = 0. Solve 5*a - s + 31 = 0 for a.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(v) = 2*v**2 - 75*v - 140. Let z be w(41). What is the greatest common factor of 84 and z?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(y) = y + 6. Let l be o(0). Suppose 0 = -d - 1 + l. Suppose 0*z = -z + d. Sort -0.5, z, 0.3.\nAnswer: -0.5, 0.3, z","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -2*((-5 + sqrt(153))*-1 - sqrt(153))*-1 + -6*(5*(sqrt(153) + -5 + sqrt(153))**2 + 4).\nAnswer: -19124 + 1788*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 2116 is divided by 237?\nAnswer: 220","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {q: 3, m: 1, h: 2, w: 3, l: 1}. What is prob of sequence lw?\nAnswer: 1\/30","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let p(n) = 3*n + 8. Let f be p(4). Suppose 24 = 2*v - f. Let g = -6 + v. Calculate the greatest common divisor of g and 8.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: (114 - 110) + (-10 - -2) - 15\nAnswer: -19","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 9316 + -167765\/18. What is the common denominator of h and (-2)\/6 - 148\/(-192)?\nAnswer: 144","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*y - 6*y - 17*y = -63 for y.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let y(t) = -t. Let h(v) = 24*v - 3. Let u(b) = 24*b - 2. Let l(p) = -2*h(p) + 3*u(p). Determine y(l(n)).\nAnswer: -24*n","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Express -109*r**2 + 109*r**2 + 18*r**3 + (2*r**3 + r**3 - 6*r**3)*(-3 + 3 + 1) as w*r + b*r**2 + l*r**3 + u and give l.\nAnswer: 15","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 2382 and 1785706?\nAnswer: 794","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2 - 2 - w**2)*(5*w**2 - 3*w**2 - 4*w**2)*(-4*w - 3*w + 11*w).\nAnswer: 8*w**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is -60 + 617411?\nAnswer: 617351","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 29 + -29. Suppose d = x - 3*x + 14. Let g(a) = -x*a - 8*a + 16*a + 2. What is g(-6)?\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: 16*21\/(-2016)*2\/(5*(-10)\/(-125))\nAnswer: -5\/6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 16*l + 9921 + 15683 = -283*l - 5193 for l.\nAnswer: -103","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let d(y) = 14*y + 11*y**2 - 8*y - 13*y. Let v(m) = -5*m**2 + 3*m. Let q(f) = 3*d(f) + 7*v(f). Let z(a) be the second derivative of a**3 - a. What is z(q(c))?\nAnswer: -12*c**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let g(f) = f. Let x(p) = -p**2 - 5*p - 5. Suppose -v = v - 20. Let z(u) = u + 1. Let c(q) = v*z(q) + 2*x(q). What is g(c(k))?\nAnswer: -2*k**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: -627 + -4\nAnswer: -631","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from vovoovoovvvvovvo. What is prob of picking 1 o and 3 v?\nAnswer: 21\/65","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Round 1494.5619 to the nearest 1000.\nAnswer: 1000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 4*((-3 + 4 + 1 + sqrt(63))**2 - (sqrt(84)*-2*-1)\/(sqrt(1452) + -2*sqrt(1452) - sqrt(1452))).\nAnswer: 532*sqrt(7)\/11 + 268","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is -438 (base 9) in base 12?\nAnswer: -25b","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 121 + -63. Let x = 22 - p. Let d = 36 + x. What is the third smallest value in -3, d, 0.04?\nAnswer: 0.04","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from tttttbttibbttb. What is prob of sequence itt?\nAnswer: 3\/91","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -417 = -9*x + 339. Suppose -f + 19 = -x. List the prime factors of f.\nAnswer: 103","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(g) = -g - 7. Let c be q(-11). Suppose 5*h - 20 = 4*i, 5*i = c*h - 16 - 0. Let w be (21\/(1470\/28))\/(2\/5). Solve i = -k - w for k.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -158796, -317094, -475392, -633690, -791988?\nAnswer: -950286","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Factor 5*x**3 - 15*x**2 - 20*x + 60.\nAnswer: 5*(x - 3)*(x - 2)*(x + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 4.047 - -2342.76606.\nAnswer: 2346.81306","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -3788.99 + 3789. Put -3, m, 5.5, 5 in descending order.\nAnswer: 5.5, 5, m, -3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 179, 318, 461, 608?\nAnswer: 759","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let c(w) be the third derivative of -11*w**9\/504 - 37*w**5\/60 - 23*w**2. Find the third derivative of c(l) wrt l.\nAnswer: -1320*l**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 100100111100110000 (base 2) in base 14?\nAnswer: 3d224","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 6867, 6874, 6881, 6888, 6895, 6902?\nAnswer: 6909","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 688256731 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 112682? (a) 1 (b) -1 (c) 3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (i*i*i**1)**(-2\/113)\/(i**(2\/3))**(5\/4) assuming i is positive.\nAnswer: i**(-601\/678)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 1553324 (base 6) in base 3?\nAnswer: 11201021121","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 277438 is divided by 2024.\nAnswer: 150","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 69*m**2 - 4*m**2 - 30*m**2 + 59*m**2.\nAnswer: 94*m**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 5597 to the nearest integer?\nAnswer: 75","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let h(k) = -k**2 + 12*k - 19. Let x be h(6). Let s = x - 14. Suppose 0 = -4*y - s*y + 168. Calculate the least common multiple of 3 and y.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: -31.2*5\nAnswer: -156","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: 210*-2.38\nAnswer: -499.8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((y**2*(y**(-1\/4)*y)\/y)**(2\/57))**(-49))**(-3\/10) assuming y is positive.\nAnswer: y**(343\/380)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-4921 + 126*r + 4921)*(-2*r - r + r) - 3*r**2 + 0*r**2 + 6*r**2.\nAnswer: -249*r**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = a - 1, -14 + 16 = -2*p - 4*a for p.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the sixth smallest value? (a) 1 (b) -22\/3 (c) -2 (d) 2\/5 (e) 23 (f) -5\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -2*(-1 + (sqrt(18) - sqrt(2)) - sqrt(2))**2.\nAnswer: -6 + 4*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*k + 2*o = -38, -3*k - 5*o - 24 = 14 for k.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let h(i) = 3*i - 1. Suppose 2*c - 1 = 3*c + l, -3*l = -c + 19. Let d = -488 - -495. Suppose -2 = 3*z - c*k, 6*z - d*z - k + 4 = 0. Give h(z).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1 = 265*t - 260*t - 2*b, 4*b = 2*t + 10 for t.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -16*h**3 + 21*h**3 - 13*h**3.\nAnswer: -8*h**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -38240079 or -38240080?\nAnswer: -38240080","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 644 minutes before 4:10 AM?\nAnswer: 5:26 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*z + 1 = -3*q, -3*q = -z + 9 - 2. Let r be z\/(-6) - 14\/(-3). Suppose -s + r = -5. Solve s + 0 = -2*n for n.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -40*b + 39*b + 5 = 0 for b.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Express (-3 + 3 + 2*w**3)*(0*w - w + 3*w) + (-8*w + 8 - 8)*(-4*w**3 - 2*w**3 + 4*w**3) in the form a*w + l*w**3 + g*w**4 + i + n*w**2 and give g.\nAnswer: 20","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Divide -14806044 by 1233837.\nAnswer: -12","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let o(x) = x + 17. What is the least common multiple of 19 and o(-6)?\nAnswer: 209","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*v - 118 = -2*u, 3*u + v + 202 = 6*u. Let k be 1238\/2*(-3)\/27. Let h = k + u. What is the nearest to 1 in 2, h, -2?\nAnswer: h","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*j - 15 = 3*j. Suppose -b + 18 - j = 4*w, -3*b + 5*w + 22 = 0. What is the remainder when 26 is divided by b?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 24 and 1374?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1130 is divided by 562?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 81 and 468.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of -113, -66, 7, 106, 231, 382?\n\"Answer: 13*d**2 + 8*d - 134","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let q(v) = v - 1. Let y(x) = -9. Let g = -6 + 0. Let b(h) be the first derivative of -5*h - 1. Let k(u) = g*y(u) + 11*b(u). Calculate k(a) - q(a).\nAnswer: -a","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let l be ((-6)\/15)\/((-4)\/(-500)). List the prime factors of (-1)\/(-2) - 6975\/l.\nAnswer: 2, 5, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(k) = 5*k**2 + 2*k - 3. Let l(x) = -x + 1. Give -f(m) - 2*l(m).\nAnswer: -5*m**2 + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Does -17135\/2399 = -6?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Subtract 35798 from -460.4897.\nAnswer: -36258.4897","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve 153069 = 1447*w + 386*w - 78714 + 53982 for w.\nAnswer: 97","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let u be 150\/39 - 4 - 4\/(-26). Let r = -7 - -6.6. Which is the nearest to 0.1? (a) 3 (b) u (c) r\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 30 divide 1402980?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -13 in 4, -1, -4, 2\/17?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in -223, -42522, -1\/2, -0.1, 2\/7?\nAnswer: -223","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (-2)\/(-3)*(-5 + 15 + -4). Let z(o) = -o**3 + 3*o**2. Let y be z(3). Suppose 4*i = -y*i + s. 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: Expand (m**3 + 0*m**3 + 0*m**3)*(3 - 4 - 1) + (-2*m**2 + 2 - 2)*(2*m - 1 + 1).\nAnswer: -6*m**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 243930031.\nAnswer: 243930031","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: 24056\/(-970) - 121\/55\nAnswer: -27","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from jjwxxvkb. Give prob of sequence bvj.\nAnswer: 1\/168","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -119 + -16. Let i = -78 - v. Let m = -57.00000184 + i. What is m rounded to seven decimal places?\nAnswer: -0.0000018","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-2)\/(3\/(-12)*6*(-22)\/(-561))?\nAnswer: 34","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Express (-44 + 9*a + 44)*(a - 2*a - 1 + 3) as i*a + m*a**2 + d and give m.\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 4547?\nAnswer: 4547","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 4\/(-7)*((59 - 242) + 113)?\nAnswer: 40","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (6 - 0)\/((-9)\/6). Let l be 14\/(-16) + (-4)\/o. Let i = -3.6 + 4. Which is the nearest to 1\/6? (a) i (b) -3 (c) l\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o be ((-77)\/(-14) - 8)*(-97 - -1). Suppose -23*z + 25*z = o. Does 30 divide z?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 8, 64, 166, 314?\nAnswer: 508","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is -4352.784 rounded to the nearest integer?\nAnswer: -4353","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 21925, 21927, 21929, 21931?\nAnswer: 21933","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -107\/1974 and 103\/12.\nAnswer: 3948","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let r(a) = 111*a**2 - 58*a - 931. List the prime factors of r(-13).\nAnswer: 2, 3, 19, 163","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(u) be the first derivative of -u**5\/5 + 5*u**4\/4 - 3*u**3 + 7*u**2\/2 - 2*u - 15. Solve v(l) = 0.\nAnswer: 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 1042098?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 2293?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let s(z) = -z**2 + 10*z + 1. Let h be s(10). Which is the fourth smallest value? (a) h (b) -9 (c) 0.3 (d) -4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 10977 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 3932, 3933, 3936, 3941, 3948?\nAnswer: 3957","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let m(o) = -12*o**2 - 458*o - 2431. What is m(-6)?\nAnswer: -115","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let j(p) be the third derivative of -7*p**4\/24 + 11*p**2. Let i(w) = -2*w. Give i(j(s)).\nAnswer: 14*s","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -16 - 17*m - 5 + 128 + 16*m.\nAnswer: -m + 107","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is -61356.3957765605 plus -5?\nAnswer: -61361.3957765605","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 491 is divided by 33?\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence sqos when four letters picked without replacement from {s: 3, o: 8, q: 6}.\nAnswer: 3\/595","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(49)\/(sqrt(252) - sqrt(252)*3).\nAnswer: -sqrt(7)\/12","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -27*m + 23046*m**3 + 9*m - 23044*m**3 + 18*m.\nAnswer: 2*m**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (-3)\/(-6)*(8 - 0). Let k(q) = 10 - 6*q - q**3 + d*q**2 - 2 + 10*q + q**2. Let i = -3 + 9. Give k(i).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 3036 and 50853.\nAnswer: 203412","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {y: 2, g: 7, x: 1}. Give prob of picking 1 x and 1 y.\nAnswer: 2\/45","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is 57169331 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Determine n so that 4*n**3\/7 + 15852*n**2\/7 + 1227960*n\/7 + 341792 = 0.\nAnswer: -3884, -77, -2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let l(g) = g - 9. Let t be l(9). Suppose -f = p - t*f, 5*f = 0. Solve p = 4*c + c for c.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: -2078 divided by -1039\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -2 + 6*(sqrt(252)*-2*-1 + 1)*-4 + 5.\nAnswer: -288*sqrt(7) - 21","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is 2\/51 >= -615?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -0.134 - 0.048. Let b = h - -0.109. Let y = -0.273 - b. Put -24, y, -0.5, 2\/11 in descending order.\nAnswer: 2\/11, y, -0.5, -24","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 112 + -48. Is 6 a factor of o?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 673 + -10. Let c = 730 - h. What is the remainder when c is divided by 35?\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*r + 8379 = 5*r. Let m be 24\/12 + r\/790. Let k = m + 13\/79. What is the common denominator of 27\/22 and k?\nAnswer: 110","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (6 + 11 + 5)*(p - 4*p + 2*p)*(10 - 1 - 20) - 27 + p + 27 in the form h*p + b and give h.\nAnswer: 243","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0.2? (a) -2\/13 (b) -6 (c) 4 (d) -0.6\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 8 - 6. Suppose j + 6 - d = 2*k, 4*k = 3*j + 4. What is the units digit of k\/(-2)*14\/(-4)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u be -39 - (-2 - -1 - -3). Let r = 95 + u. What are the prime factors of r?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from eusrw. What is prob of picking 1 u and 1 e?\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -144 - -244. Let y = 2215.3 + -2215. What is the closest to 0.1 in 0, i, y?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*k + 38 - 46, 2*k - 212 = -4*f. Solve -y = 17*y + f for y.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(g) = g - 1. Let j(n) = 6*n - 4. Determine j(s) - 5*y(s).\nAnswer: s + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -34 + 64 = 6*o. Suppose 3*p + 2*a + 3*a = 1005, -5*a = o*p - 1685. List the prime factors of p.\nAnswer: 2, 5, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (q\/(((((q**(-4\/9)\/q)\/q)\/q)\/q)\/q)*q*(q**(-5)*q)\/q)\/(q**(-1\/2))**(-1\/30) assuming q is positive.\nAnswer: q**(437\/180)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 355, 747, 1139?\nAnswer: 1531","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand (1 + 0 + 2)*(19 - w**4 - 19) + (1 + 2*w - 1)*(2*w**3 + 0*w**3 - 6*w**3).\nAnswer: -11*w**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -195 - -0.1.\nAnswer: -194.9","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: (-30)\/45*3\/4*10\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let o(b) = b**3 + 7*b**2 + 4. Let x be o(-7). Suppose 0 = -5*r + 5*i + 30, 0*r + 2*r = x*i + 20. Solve 7 = 2*w + 3*s, 0 = r*w - 3*w + 5*s - 16 for w.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 2*j**5 + 3*j**5 - 2*j**5 + (5*j**5 - j**5 - 3*j**5)*(2 + 1 - 2) - 2*j**5 + j**3 - j**3 + (3*j**2 + 6*j**2 + 0*j**2)*(-12*j**3 + 57*j - 57*j).\nAnswer: -106*j**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -2*d**3*u*x**2 + 17*d**3*x**3 - 55*d**3 - 3*d**2*u**2*x**3 - d**2*x**2 + 4*d*u**2*x**2 wrt x?\nAnswer: 102*d**3 - 18*d**2*u**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -1414 + 5698. Let k be (-2)\/4 - (-25762)\/(-6). Let l = v + k. Find the common denominator of -77\/24 and l.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-135)\/(19710\/40588))\/2.\nAnswer: -139","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -6 - -8. Suppose 0 = 2*a - 5*b - 41, 0*a - 70 = -4*a - i*b. Does 6 divide a?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -93041.028 to the nearest ten thousand.\nAnswer: -90000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 8322627 to the nearest integer?\nAnswer: 2885","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let -4\/7*h - 6\/7 + 2\/7*h**2 = 0. What is h?\nAnswer: -1, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence pupu when four letters picked without replacement from pyupyuypyypyy?\nAnswer: 1\/715","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 31340.2 rounded to the nearest one hundred?\nAnswer: 31300","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 10561188 and 5016.\nAnswer: 2508","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 43 + -46. Let a be i\/(-2) - -1 - (-3)\/2. Suppose -5*d + 262 = -a*d. Is d composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -1? (a) 5 (b) 0.16 (c) -1.3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Convert 1384.584ml to litres.\nAnswer: 1.384584","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Round 6979503.63 to the nearest one hundred thousand.\nAnswer: 7000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 38 + -12. Suppose -4*m = -20, 2*m = 3*c - 7*c + k. What is the derivative of 9 + 8*y**4 - 3*y**c - 1 wrt y?\nAnswer: 20*y**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -3*q - 4*n + 8, -4*n + 8 = 60*q - 63*q for q.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 15 - 12. Suppose 3*a = 3 + 15. Suppose -c + a = h*w, -4*c - 4*w + 10 = w. Which is smaller: c or 2\/17?\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -f**3\/3 - 53*f**2 + 3752*f - 168560\/3.\nAnswer: -(f - 28)**2*(f + 215)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is 4289 bigger than 9107?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let v(z) = 3*z**2 + 14*z - 3. Let r(l) = 459*l + 473*l + 484*l - 1387*l + 7*l**2 - 7. Give -4*r(f) + 9*v(f).\nAnswer: -f**2 + 10*f + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1436, 3, -15, -1, 5, -5, 26 in descending order.\nAnswer: 26, 5, 3, -1, -5, -15, -1436","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -93? (a) 2\/45 (b) -0.5 (c) 1\/7 (d) -1\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: (6\/(-18))\/((-2)\/(-24))\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 13381 is divided by 66.\nAnswer: 49","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let c be ((-22)\/33)\/((12\/629919)\/4). Is (2\/(-10))\/(c\/23330 + 6) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8*o + 5*o = -36. Find the first derivative of -4*u + 6*u - o*u + 22 - 8*u wrt u.\nAnswer: -18","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Add 16.2 and -2.047.\nAnswer: 14.153","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:35 AM and 1:23 PM?\nAnswer: 408","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is 0.02 greater than -1?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (353*f - 478*f + 399*f)*(8*f - 3*f - 3*f) to d*f**2 + m + k*f and give d.\nAnswer: 548","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -5*g + 21*g + 3*g + 77*g.\nAnswer: 96*g","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let q(d) be the first derivative of -d**4\/4 + 4*d**3\/3 + 3*d**2 + 5*d + 594. Calculate q(5).\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 y and 2 o when three letters picked without replacement from yyooooolyyl?\nAnswer: 8\/33","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 256*n - 7360073 = 9718967. Round n to the nearest 10000.\nAnswer: 70000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 3 + (((1*sqrt(210))\/sqrt(6))\/(sqrt(7) + sqrt(42)\/(sqrt(6)*2)) - (sqrt(30)\/(sqrt(12)\/sqrt(2)) - (-2 + sqrt(605) - sqrt(605))**2)).\nAnswer: -sqrt(5)\/3 + 7","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Expand 4 - 4 - 5*q**2 + (q - q + 2*q)*(2*q - 4*q - 2*q).\nAnswer: -13*q**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 0.7 + -35.7. Let c = h - -35.5. Let d be ((-8)\/260)\/(3\/(-15)). Which is greater: c or d?\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(m) = -m + 2. Let t be x(0). Let v be (-63)\/t + (-1)\/(-2). Let u = v - -53. List the prime factors of u.\nAnswer: 2, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(q) = q - 1. Let l(g) = 3*g - 4. Let m(t) = -4*h(t) + l(t). Let c be m(-2). Factor 0 + 4*a - 5*a**c + 4*a**2 - 3*a + 2.\nAnswer: -(a - 2)*(a + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) -26 (b) 0.5 (c) 2\/3 (d) -1.1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4 = -4*l - 4*y, -1227*y = 5*l - 1232*y + 45 for l.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -14 - -11. Let i(c) = 2*c**2 + 3*c + 3. Let a be i(y). Let n = 22 - a. What are the prime factors of n?\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 750 + 1857. What is the smallest common multiple of f and 8?\nAnswer: 20856","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(z) = z**2 + 6*z + 5. Let n be h(-6). Suppose v = -3*r + 11, -7*v + 3*v = n*r - 44. What is the greatest common factor of v and 22?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 9*s**2 - 2*s**2 - 24532026425 + 24532026425.\nAnswer: 7*s**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is 29 a factor of ((-32)\/56 - (-3)\/(-7))\/((-9)\/85545)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 41 - (2 - (-9 - -2 - (13 + -4 + -16))).\nAnswer: 39","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -81 - -91. Suppose -g = -9*u - 10. Let p be 4*-1 - (-100)\/36. Which is smaller: u or p?\nAnswer: p","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(w) be the second derivative of -7*w**3\/6 - 4*w**2 - 121*w + 2. Let q(p) = 6*p + 8. What is 4*m(o) + 5*q(o)?\nAnswer: 2*o + 8","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 237 minutes after 8:00 AM?\nAnswer: 11:57 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -52 divided by 731.\nAnswer: -52\/731","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is 171637 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let s(j) = -j**3 - 4 - 5 + 9*j**2 + 16*j - 15. Let g be s(10). Is 3 a factor of 18\/g + 66\/4?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 6 + (-2)\/6*-4*120\/(-16)?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 19670 - 11891.9. What is a rounded to the nearest one hundred?\nAnswer: 7800","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 485942 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 9347120?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is 29608583 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is 8 a factor of 825952?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let b(d) be the second derivative of -d**7\/28 - 11*d**6\/60 + 5*d**5\/8 + 23*d**4\/24 - 5*d**3\/6 + 906*d + 1. Let b(u) = 0. Calculate u.\nAnswer: -5, -1, 0, 1\/3, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.0005022791382 to 5 decimal places.\nAnswer: -0.0005","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is (5 + -6 - -2) + -7 + (26 - 13)?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 20654717 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let q be ((-2)\/1)\/(22\/(-55)). Which is the closest to 8? (a) 4 (b) q (c) -2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 2196804881 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {u: 7, i: 5}. What is prob of picking 1 u and 2 i?\nAnswer: 7\/22","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 494888640 and 9.\nAnswer: 1484665920","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let m(a) = -a - 3*a + 7*a. Let i(x) = -x**2 - x + 1. Let v(r) = 8*r**2 + 6*r - 6. Let s(j) = 6*i(j) + v(j). Calculate m(s(w)).\nAnswer: 6*w**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -1 or 1\/3754?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 605 - -247. What is the hundreds digit of u?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -2, 4, 90399, 1, -4, 3 in decreasing order.\nAnswer: 90399, 4, 3, 1, -2, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 6*((sqrt(320) - (sqrt(320) - -2*sqrt(320) - sqrt(320) - sqrt(320)))\/sqrt(10))**2 + -1.\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve -15664 = -522*q - 5425 + 12207 for q.\nAnswer: 43","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Convert 9748.865 centimeters to meters.\nAnswer: 97.48865","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 9638?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let c(w) be the third derivative of 2\/21*w**3 + 0*w - 2*w**2 - 1\/210*w**5 + 0 - 1\/84*w**4. Factor c(y).\nAnswer: -2*(y - 1)*(y + 2)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 212600543 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Does 102 divide 85164?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(125)*-1 + (1*sqrt(180) - sqrt(5)) + 1.\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -70 in -0.05, -2\/15, -3\/5?\nAnswer: -3\/5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 9711.6 meters in micrometers?\nAnswer: 9711600000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 13727*b**4 + b**2 + 8216*b?\nAnswer: 164724*b**2 + 2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let b be -2 + 1 - 1 - -4. Let c(t) = -3*t - 20*t**b + 3*t. Let f(x) = -29*x. Let s(z) = -94*z. Let v(d) = -13*f(d) + 4*s(d). Give c(v(o)).\nAnswer: -20*o**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 54 - 438*u + 220*u + 215*u - 8 - 1940*u**2 wrt u?\nAnswer: -3880","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -9*n + 4*n = -13860. Suppose 8*r - n = -3*r. Does 12 divide r?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in 105, -271, -2?\nAnswer: -271","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 14783\/25905 - -4\/785. Suppose -5 = m + m + 3*q, 0 = -4*m + 5*q + 1. What is the common denominator of g and m\/(-2)*280\/(-42)?\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3 + 6 - 4 + 7 - 3 - 1 - 5 + 4 - 1 + (-1 - 1 + 1)*(1 - 3 + 1) - 1 - 2 + 4)*(r - 2*r - r)*(6*r**4 - 2*r**4 - 5*r**4).\nAnswer: 4*r**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -27*x = -24*x. Let z = 13 + -10. What is the biggest value in 0.1, z, x?\nAnswer: z","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -124 + 4828\/39. Calculate the common denominator of ((-131)\/(-55) + 66\/(-363))\/((-234)\/60) and i.\nAnswer: 39","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(m) = -14*m - 6. Let s be x(-3). Let c be -6*(-3)\/(s\/28). Let k = -14 + c. Solve k*v = -3*v + 9 for v.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 37 - -33. Suppose -4*p + u = -3*j - 2*j, 2*j = 4*p - 76. Solve 3*b = -12, p = -5*s + s - 5*b for s.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find f such that -3*f**3 - 402*f**2 + 5607*f - 18522 = 0.\nAnswer: -147, 6, 7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) -30 (b) 2\/11 (c) -2\/11 (d) 7\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-i - i + 4*i)*(4*i**2 - 2*i**2 + 2*i**2) + i**3 - 2*i**3 - 2*i**3 + i**3 - 2*i**2 + 2*i**2.\nAnswer: 6*i**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 7*n + 24 - 3. Let u = 100 + n. What is the tens digit of u?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 3 t when three letters picked without replacement from {t: 3}?\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let v(b) = 5 - 20*b + 19*b - 5. Determine v(-6).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-2 + sqrt(1728)*-2 + sqrt(1728) + -2)**2 - (-1*(sqrt(1200) + -2*sqrt(1200) - sqrt(1200))*6)**2.\nAnswer: -171056 + 192*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -5123\/244 + 76\/61. Let r = b + 20. Let c = 4 - 3. Which is smaller: r or c?\nAnswer: r","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -4688058 - -4685945.049. Let r = g + 2112. What is r rounded to one decimal place?\nAnswer: -1","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*j - 8280 = -8290. Calculate the least common multiple of j and 86.\nAnswer: 86","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 13841 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is -5c4a - -1?\nAnswer: -5c49","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -4 divided by -13574.\nAnswer: 2\/6787","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 23 - 21. What is the biggest value in p, -2, -3?\nAnswer: p","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of (-476)\/14*(-268)\/4?\nAnswer: 2, 17, 67","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -21*m + 3*v = -18*m - 5094, 5*v = -4*m + 6783. Let n = m + -1029. Is 56 a factor of n?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth root of 332698 to the nearest integer?\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let t(q) be the second derivative of -4*q**3\/3 + 7*q**2 + 11*q. Let p be t(1). Suppose 0 = 2*s - 2. Solve s = -b + p for b.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 113128 plus 1.16719?\nAnswer: 113129.16719","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 11 - 8. Suppose -5*r = 7 + h, 0 = -3*d + 4*r - 1414. Does 4 divide d\/(-48) - 2\/(-16)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is 6550 + 331?\nAnswer: 6881","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -170, -342, -510, -674, -834, -990?\nAnswer: -1142","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -53, -180, -377, -644, -981?\nAnswer: -1388","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) -3\/2 (b) -0.16 (c) 31147\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Express 3*n + 18 - 2*n + 352*n**2 - 16 - 13 - 358*n**2 as a*n**2 + y*n + j and give j.\nAnswer: -11","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is (17 - 12) + (0 - 8)?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 2\/1347955 - -5045179\/16175460. What is the common denominator of v and -123\/140?\nAnswer: 420","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -162 less than or equal to -683?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Does 62 divide 113274?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Work out -6972.42776109829 + 0.2.\nAnswer: -6972.22776109829","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -2315222 - -2315454.0298. Let s = -590 - -358. Let a = s + z. Round a to three decimal places.\nAnswer: 0.03","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 438270246.\nAnswer: 2, 3, 73, 333539","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 m and 1 s when two letters picked without replacement from {m: 4, g: 6, s: 2}.\nAnswer: 4\/33","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of 35470608, 35470614, 35470620, 35470626, 35470632?\n\"Answer: 6*c + 35470602","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Subtract 68.979 from 0.0614828.\nAnswer: -68.9175172","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let l be 5\/2*(2 + 0). Let g = -9 + 11. What is the third derivative of -h**g + 3*h**2 - 5*h**2 - h**l - 2*h**5 wrt h?\nAnswer: -180*h**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 1455, 3065, 4973, 7329, 10283, 13985?\nAnswer: 18585","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Does 34 divide 979?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let i(m) = 182*m**3 + 6*m**2 - 3*m. Let k(o) = -123395*o**3 - 4070*o**2 + 2035*o. What is -4070*i(w) - 6*k(w)?\nAnswer: -370*w**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 507 minutes before 8:02 PM?\nAnswer: 11:35 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Sort 5, -29, 36, 1 in increasing order.\nAnswer: -29, 1, 5, 36","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is 12037 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let x(k) = -k**3 - 10*k**2 + k + 1. Let r(n) = -4*n**3 - 50*n**2 + 7*n - 10. What is -r(z) + 5*x(z)?\nAnswer: -z**3 - 2*z + 15","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 1\/33? (a) -1\/7 (b) -5 (c) -0.2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve -30 = -4*g + 6*r, -192*g + 20 = -190*g - 4*r for g.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is -7541679 rounded to the nearest ten thousand?\nAnswer: -7540000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1676*t + 1681*t + p - 9 = 0, -17*p + 121 = 2*t - 28*p - 8 for t.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let i(t) = 28*t**2 - 2339*t - 6. Let u(k) = 5*k**2 - 2*k - 1. Give i(y) - 6*u(y).\nAnswer: -2*y**2 - 2327*y","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: -6509460 divided by -318\nAnswer: 20470","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Round -6750 to the nearest one hundred.\nAnswer: -6800","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: -1460967 divided by 6859\nAnswer: -213","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 4 + -1 + 2 + -3 - 7?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -2.966 - -3. Let p = o + -0.03. Round p to 3 decimal places.\nAnswer: 0.004","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 2*n*y**4 - 3534274*n*y**3 - 1625*n*y**2 - n*y - 9*n + 3*y + 5 wrt y?\nAnswer: 48*n*y - 21205644*n","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let n(s) be the second derivative of -1\/36*s**4 - 1\/3*s**2 - 7*s + 0 - 1\/6*s**3. Factor n(h).\nAnswer: -(h + 1)*(h + 2)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(j) = -j + 0*j + j**2 - 9 + 10 - j**3 + 3. Let o be l(0). Calculate the remainder when 8\/2*93\/o is divided by 24.\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(g) = 3*g - 1. Let j be p(3). Suppose 3*m = 9, c + m - j = 2*m. What is the units digit of c?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 4 - 6. Let s be -1*4*1\/g. Let j(x) = -s*x - 2*x**2 - 3 + 7*x**2 + 0*x. Let c(r) = r**2 - 1. Give 4*c(k) - j(k).\nAnswer: -k**2 + 2*k - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 18108951 less than 0.891?\nAnswer: -18108950.109","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 839?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let t be 2*(4 - (-36)\/(-8)). Calculate the remainder when -18*(t - (4 - 4)) is divided by 3.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(r) be the second derivative of 145*r**4\/12 - 2081*r. Let j(g) = 2*g**2. Determine j(c(z)).\nAnswer: 42050*z**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Convert -1212 (base 8) to base 13.\nAnswer: -3b0","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let f(n) = 195*n + 46406. Give f(-238).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 1? (a) -0.17 (b) 2\/7 (c) 5 (d) -2\/3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 15*y - 5*y - 160 = 0. Let l be y + -11 - (-19)\/(-4). Solve 0*r + 3\/2*r**3 - 7\/4*r**2 + l = 0.\nAnswer: -1\/3, 1\/2, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 57\/((-6156)\/(-288)) + 40\/(-6).\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(a) = -22*a - 282. Determine h(-16).\nAnswer: 70","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let u(w) be the second derivative of 0*w**3 + 0 - 1\/3*w**4 - 3\/2*w**2 + 151*w. Let l(g) = 5*g**2. Calculate u(l(o)).\nAnswer: -100*o**4 - 3","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let s(z) be the second derivative of z**4\/2 - z**3\/6 - 4*z**2 + 7*z + 4. What is the remainder when 95 is divided by s(-3)?\nAnswer: 46","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1\/((-10)\/(-12) - (-13)\/78).\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -10*p + 137 + 183 = 0. What is the remainder when 89 is divided by p?\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g be 5\/2*(9 + -7). What is the highest common factor of g and 5?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 6 divide 102?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Does 11 divide 270?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -68 + 28. Let d = 82 + s. Suppose -6 = a - d. Does 25 divide a?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6 = -z + 15. What is the remainder when z is divided by 11?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in 0.5, -4\/5, -0.5, -1, -20441, 1\/3?\nAnswer: -4\/5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 4 - 3. Let f be 7 + -3*k + 2. Find the third derivative of i - i - 2*i**f + 2*i**2 wrt i.\nAnswer: -240*i**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4 = -13*u + 43. Suppose -u*p - 1 = -2*p. Which is bigger: -2 or p?\nAnswer: p","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 121*j + 1170 + 282 for j.\nAnswer: -12","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 634\/9 - 628\/9. Let s(d) be the second derivative of -1\/3*d**4 + 0 + 2*d**2 + 17*d + h*d**3 - 1\/5*d**5. Factor s(o).\nAnswer: -4*(o - 1)*(o + 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (-10800)\/(-14)*14*1. Round a to the nearest 1000.\nAnswer: 11000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(h) = 56*h + 2633. Give v(-47).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-3*sqrt(175) + -2 + -3*sqrt(175)*1)**2.\nAnswer: 120*sqrt(7) + 6304","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: -343889.9+2\nAnswer: -343887.9","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -63 + 39. Calculate the common denominator of 4\/11 and 178\/6*k\/64.\nAnswer: 88","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-35 - 20 + 14)*(24*f**4 + 42*f**4 - 7*f**4).\nAnswer: -2419*f**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (10\/(-14)*2)\/((-2)\/(-28)).\nAnswer: -20","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 28850 + -15469. Is b composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is 124 - 2423430?\nAnswer: -2423301","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 3*y - 191404 + 95983 + 95421 - 5*y + 0*y.\nAnswer: -2*y","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let h be 1*3 - (-73 - 16). Calculate the highest common divisor of 23 and h.\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 345 is divided by 13?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 1.37 + -1.3. Let z = -0.487 + 0.987. What is the smallest value in 0.4, z, k?\nAnswer: k","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*r + 2*n - 5041 = -2*n, -2*n - 2 = 0. Is r prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(j) = -2*j**3 - 68*j**2 - 2*j - 82. Calculate m(-34).\nAnswer: -14","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 96*t**2 - 250*t**2 + 40*t**2 + (2*t - 2*t + 4*t)*(t - 1 + 1) + 0*t**2 + 0*t**2 + t**2 to the form r + p*t**2 + u*t and give p.\nAnswer: -109","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 212534 and 3472?\nAnswer: 52708432","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-10 - s - 5 - 2)*(0 - 4 + 3)*(-3*s**2 - 4*s**2 + 3*s**2).\nAnswer: -4*s**3 - 68*s**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let b(h) = h**2 - 16*h - 20. Calculate b(19).\nAnswer: 37","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 3663743 is divided by 448.\nAnswer: 447","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Express -2 + 9*h - 6*h - 2*h**2 + 12 + 1 in the form q*h + u*h**2 + b and give b.\nAnswer: 11","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -117 + 111. Let x = -5.04 - -0.04. Let r = x - -5.1. Is r less than or equal to y?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (5*m - 6*m + 2*m)*(-4*m + 3*m - 2*m) + 199*m - 102*m - 94*m - 10 - 2*m**2.\nAnswer: -5*m**2 + 3*m - 10","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 12 (base 4) in base 11?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 95679?\nAnswer: 3, 10631","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -314 - -314. What is the closest to 109 in q, -4, 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(1539)*4)**2 - (sqrt(76)\/sqrt(4) + 1)) + sqrt(19)*4*-6*-1*4.\nAnswer: 95*sqrt(19) + 24623","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -794 + -1091. Let w = -1884.8693 - m. Let d = 0.13 - w. Round d to four dps.\nAnswer: -0.0007","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 371676 and 1013696.\nAnswer: 188","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the seventh root of 1720143 to the nearest integer?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 893925886 to the nearest integer?\nAnswer: 963","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -89\/138 and (-81)\/(-6) + -4 + (8 - 3)?\nAnswer: 138","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l be 2 + (2 + 5)*-3. Let a = l - -17. What is the remainder when 63 is divided by 0\/a - (-13 + -3)?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(d) be the third derivative of -d**4\/12 + 2*d**2. Let v(k) be the first derivative of -4*k**3\/3 + 1. What is s(v(l))?\nAnswer: 8*l**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.8 take away 239?\nAnswer: -239.8","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let -95*v**2 + 360*v**3 - 694*v**3 + 3*v**4 + 360 + 41*v - 23*v - v**5 - 96*v + 361*v**3 = 0. What is v?\nAnswer: -5, -2, 3, 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(k) = k**3 - 8*k**2 + 6*k + 9. Let s be (7*(1 + -2))\/(-1). Let p be h(s). What is the second derivative of p*a**5 + a - 6*a - 2*a wrt a?\nAnswer: 40*a**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 14*f + 15*f = 145*f + 1044 for f.\nAnswer: -9","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (x*x**8*x*x)**(-15)*((x**(-1\/3)*x*x)\/x*x*x)\/x**(-4\/15) assuming x is positive.\nAnswer: x**(-2431\/15)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is (-99)\/(-12) - 8 - 7\/(1 - (11 + -14))?\nAnswer: -3\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*c - 105 = 3*l - 2*c - 5*c, 1076*c + 96 = 1080*c for l.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is 36961493 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 7655 and 36356657?\nAnswer: 1531","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -k + 2 + 4 = 0. Let p(z) = z**2 - 4*z - 7. Let l be p(k). Let o be (-2)\/(-5) + 8\/l. Solve 3*c = 5*c - o for c.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 0 + -24 - (237 + -449 - -103).\nAnswer: 85","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 3635196 to the nearest integer?\nAnswer: 154","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 74*h**2*i**2 - 79896*h**2*q - 2*h**2 - h*i**2*q + 30*h*i**2 + 776*h*q - 11*i**2 wrt h.\nAnswer: 148*i**2 - 159792*q - 4","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: How many centuries are there in three tenths of a millennium?\nAnswer: 3","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify n**(27\/7)*n**(1\/22) assuming n is positive.\nAnswer: n**(601\/154)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let o(k) be the first derivative of 0*k**2 - 4\/3*k**3 + 0*k - 5. Let g(p) = p**2. Calculate o(g(v)).\nAnswer: -4*v**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*k + 6 = -u, -134*u + 138*u + k = -10 for u.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let o(w) be the third derivative of 3*w**6\/4 - 74*w**5\/15 + 37*w**4\/12 + 2*w**3 + 5*w**2 + 3. Find r, given that o(r) = 0.\nAnswer: -1\/9, 2\/5, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-4 + 5 + 0)*(-k**3 + 2*k**3 - 3*k**3)*((5 - 5 + 2*k)*(1 + 1 - 3) - k + 0*k + 0*k + 9781 - 9781 - 746*k).\nAnswer: 1498*k**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 1 + -6\/7. Let i = -1.5 + 1.3. Is q greater than i?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 9484 to the power of 1\/3, to the nearest integer?\nAnswer: 21","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) 0.1 (b) -0.1 (c) -1\/45 (d) -5\/8 (e) -5 (f) -1\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 2.0186 + -0.0186. Let d be ((-2)\/4)\/(7\/(-2)). Which is the closest to -0.1? (a) -0.4 (b) o (c) d\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 23144 and 704?\nAnswer: 88","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 3287?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (((-16)\/44)\/(-1))\/((-68)\/((-306)\/18))?\nAnswer: 1\/11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_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: Let s = 5 - 1. Let h = -4 - s. Let q be ((-1)\/(-9))\/((-4)\/h). What is the smallest value in q, 1\/2, -0.2?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -f + 31783 = 2*p, -10*p + 11*p - 15904 = -3*f. List the prime factors of p.\nAnswer: 15889","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of 2377, 2350, 2323, 2296, 2269, 2242?\n\"Answer: -27*z + 2404","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -500\/33 + 168\/11. Let b = -59\/330 - o. Are b and -1 non-equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 108273 and 2986764?\nAnswer: 561","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: 3228 divided by 15\nAnswer: 1076\/5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 762? (a) 0.2 (b) 54 (c) -3 (d) -1\/2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is 332 a factor of 3064837?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (-4)\/50 + 319\/(-5075). What is the smallest value in 2\/7, 69, u?\nAnswer: u","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.2 minus 3156167604740?\nAnswer: -3156167604739.8","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 3396.511g in milligrams?\nAnswer: 3396511","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let n(u) be the first derivative of -5*u + 1 + 7*u - 3*u. Let g(m) = -m + 3. Determine -2*g(y) - 4*n(y).\nAnswer: 2*y - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*h + w - 3 = 0, 0*h + h = 3*w - 9. Let n be ((-3)\/(279\/12))\/(-2). Let c = n - 41\/155. Is c less than h?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the sixth biggest value? (a) 3 (b) 0.111 (c) -23\/4 (d) 1 (e) -1\/5 (f) -394\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0.5*-175.\nAnswer: -87.5","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let p be 1 + 4 + 3 + 7 + -5. Let y be 72\/20 + 4\/p. Suppose 3*s = 5*s - y. Solve 1 = -d + s for d.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 72501, 72498, 72493, 72486?\nAnswer: 72477","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in 1, 161\/10, 4925?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is 267864341 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let o(a) = 27*a**2 + 782*a - 34. Let c be o(-29). Put 3, -216, -4, c in descending order.\nAnswer: 3, -4, c, -216","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 208631816?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let b(f) = 2*f**2 - 2*f + 2. Let o be (10 - 2)\/((-6)\/(-3)). Let l(g) = -7*g + 2*g + o*g. Determine b(n) - l(n).\nAnswer: 2*n**2 - n + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 34 + (6 - 57) - (1 - 1).\nAnswer: -17","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: 143\/(-374) - (-2 - (-24)\/16)\nAnswer: 2\/17","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Total of 0.4 and -0.51.\nAnswer: -0.11","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (f**(-2\/11))**36*(f*(f**5*f)\/f*f*f)\/(f*f\/f**(-2\/21)) assuming f is positive.\nAnswer: f**(-148\/231)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((((i*i**(-19)*i)\/i*i*i*i)\/i)**(-18)\/(i\/(i\/(i*i\/(i*i**(3\/7)*i*i))))**(-36))**(-6\/5) assuming i is positive.\nAnswer: i**(-9936\/35)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 83 - 79. Sort 0.6, 0.5, r in descending order.\nAnswer: r, 0.6, 0.5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -230 = 92*q + 322. What is the closest to 2\/7 in -5, q, 22?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 27\/4868 and -23\/2112.\nAnswer: 2570304","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let k(g) = g**3 + 3*g**2 - 5*g + 3. Let f be k(-4). Calculate the remainder when f\/(14\/24) - -2 is divided by 9.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 748*-1395264.\nAnswer: -1043657472","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 39 + -22. Let l(h) = 5*h**3 - 35*h**2 - 21*h - 13. Let b be l(u). What is b rounded to the nearest one thousand?\nAnswer: 14000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 49 + -41. Suppose -5*s = u - 28. Factor -1\/2*i + 0*i**2 + i**s + 3\/2*i**3 + 0.\nAnswer: i*(i + 1)**2*(2*i - 1)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(i) = i**3 - 6*i - 2. Let m(f) = -f**3 + 7*f + 3. Give 6*m(b) + 7*z(b).\nAnswer: b**3 + 4","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve 25*k + 304 = 6*m + 20*k + 300, 2*m - 4*k = 6 for m.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 10725 is divided by 565.\nAnswer: 555","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let c(h) = -2*h**3 - 19*h**2 + 4*h + 57. Let w(x) = 5*x**3 + 33*x**2 - 6*x - 116. Let j(q) = -7*c(q) - 4*w(q). Find the second derivative of j(d) wrt d.\nAnswer: -36*d + 2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 14633744 to the power of 1\/2, to the nearest integer?\nAnswer: 3825","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence uuu when three letters picked without replacement from uvuvuqdvqdquvqvdnq.\nAnswer: 1\/204","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*l + 173 = 2*v, -2*l + v = -14 - 57. Let i be 9 + (0 - 6)\/3. Calculate the greatest common divisor of i and l.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0.3, -1, 3268, 3\/2 in descending order.\nAnswer: 3268, 3\/2, 0.3, -1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let c(y) = -y - 5. Let a be c(-11). Suppose 0 = 3*j + 5 - 2, 0 = -w + 3*j + a. Find the second derivative of -2*b**w + 0*b**3 - b**3 - b**3 - 3*b wrt b.\nAnswer: -24*b","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a be 3 - (-2)\/((-2)\/(-1)). Suppose -341 = -a*s - 17. What is the highest common factor of s and 54?\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(q) = 2*q**3 - 14*q**2 + 9*q + 5. What is the units digit of i(9)?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (-6)\/263*((-22)\/6 + 1). Let l = y + -26691\/2104. Find the common denominator of l and 43\/7.\nAnswer: 56","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(u) = 9*u**2 - 11*u + 20. Let y be v(4). Suppose 2*t - y = -l, -4*l + 6*t = t - 532. List the prime factors of l.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*n = 82*f - 85*f - 32, 0 = n + 4 for f.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 30*z - 42 = 228. Suppose -7*d - 890 = -z*d. Is 26 a factor of d?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -4349628 to the nearest 1000.\nAnswer: -4350000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -6375*b**2 + 6375*b**2 + 5 + 90186*b**3 + 2*b.\nAnswer: 90186*b**3 + 2*b + 5","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1529751.\nAnswer: 3, 41, 12437","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -206 + 340. Let f = 142 - k. Solve 6*g - 2*g = -f for g.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_test"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 36580?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -521*g**3 - 446.\nAnswer: -1563*g**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let h(y) = 45*y**3 - y**2 - y + 3. Calculate the smallest common multiple of h(1) and 8.\nAnswer: 184","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 2*d**3*j + 16*d**3*v - 2*d**3 + 87*d**2*j**3*v - d**2*v + 5*j*v wrt j?\nAnswer: 2*d**3 + 261*d**2*j**2*v + 5*v","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 5108 - 5100. Suppose 5*d = 226 + 214. Calculate the highest common divisor of z and d.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 25\/32 - 2789\/3488. Let u = -335\/436 - c. Let z = 988\/5 - 197. Sort u, z, 2.\nAnswer: u, z, 2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 159 + 3*c**4 - 77*c**3 - 151*c**3 - c**4 + 237*c**3 in the form g + j*c**4 + o*c**2 + x*c + v*c**3 and give v.\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 5366 + -2902. Is t a multiple of 32?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p be 8\/10*(-5)\/(-7). Let g = 679 + -987. Let t = g + 307.4. Sort p, -4, t in ascending order.\nAnswer: -4, t, p","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(t) = t**3 + 7*t**2 + t + 9. Let z(m) = m**2 + m + 3. Let b be z(0). Let p = b + -2. What is the least common multiple of p and v(-7)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 0.8, -3, -0.8, 3665, 1\/9 in descending order.\nAnswer: 3665, 0.8, 1\/9, -0.8, -3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -4275 - -2759. Is k\/6*(-24)\/16 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2, 0.2, 43, -2 in descending order.\nAnswer: 43, 2, 0.2, -2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 2079 to the power of 1\/2, to the nearest integer?\nAnswer: 46","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -543.35857*0.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -19 - -23. List the prime factors of (-40)\/(-60)*150\/h.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.15904527 to four decimal places.\nAnswer: 0.159","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 513 and 38703.\nAnswer: 57","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Sort -2, -37.93, -6155 in decreasing order.\nAnswer: -2, -37.93, -6155","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*i - 5*z = 4 - 44, -z + 32 = 3*i. Suppose 5*d - i = 3*d. Solve 4 = -d*u - 6, -r - u = -3 for r.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 10 divide 85380?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-40)\/(-30))\/((-53)\/((-54855)\/(-150)))?\nAnswer: -46\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: -0.06 * 1.3\nAnswer: -0.078","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Product of -0.008 and -0.2.\nAnswer: 0.0016","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let z(c) = -2*c - 2914. Let i(g) = 2*g. Determine i(z(r)).\nAnswer: -4*r - 5828","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2 = 2*r - 16. Let t = r + -7. Suppose t = -5*d + 10*d - 190. Is d prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(a) = -7*a**2 + 5*a - 31. Let m(i) = -3*i**2 + 2*i - 15. Let w(p) = -5*m(p) + 2*v(p). Let b = -4 + 4. Let r be w(b). Solve -4*x - 3 = r for x.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -q - 13837 + 97226 = 3*r, 250153 = 3*q + 2*r. Is q prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many micrometers are there in 0.3121157 centimeters?\nAnswer: 3121.157","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*c + 0*c = -20. Let t(j) = 21*j**3 - 2*j**2 + 3*j + 1. Is t(c) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 140 + 131*d + 174 + 181 - 30*d - 495.\nAnswer: 101*d","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 26.200949 + -26.212. Round m to 3 dps.\nAnswer: -0.011","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from addlallcdccacaldaca. Give prob of picking 3 c.\nAnswer: 10\/969","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 5606?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: 15520 (base 14) to base 11\nAnswer: 36a23","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -129 - -131. Solve -u*k - 4*v + 0 = 2, -3*k + 3*v + 15 = 0 for k.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 2179 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -0.1? (a) -5 (b) -652\/3 (c) 4\/5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 72 + -38. Suppose 2*u - z + 10 = 0. Is u a multiple of 12?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in 1\/2, 0.0219, -1, -0.06?\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of 374, 373, 372, 371, 370?\n\"Answer: -u + 375","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of 2727, 5452, 8171, 10884, 13591, 16292?\n\"Answer: -3*f**2 + 2734*f - 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 282570?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence umu when three letters picked without replacement from uqfuumy?\nAnswer: 1\/35","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let l(q) = -2*q**3 - 156*q**2 - 13*q - 1176. Give l(-78).\nAnswer: -162","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 9795 - 9787. Solve 9*s + 9 = 12*s, s = 5*n + l for n.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -14*k + 11 + 167*k**4 + 428*k**4 + 14 - 24 wrt k?\nAnswer: 7140*k**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -1144 + 1150. Which is the third smallest value? (a) 0 (b) -0.2 (c) u\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l be 228\/30 + (-6)\/10. Suppose -l*j + 312 = -164. Does 17 divide j?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -11.951264 plus -0.11?\nAnswer: -12.061264","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve 19*z - 1029 = -30*z for z.\nAnswer: 21","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of 22879, 22902, 22929, 22960, 22995, 23034?\n\"Answer: 2*r**2 + 17*r + 22860","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (12\/22)\/(2863\/(-409409)).\nAnswer: -78","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 3 d and 1 n when four letters picked without replacement from vdybwwdnywydnwb.\nAnswer: 2\/1365","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1\/6, 24, 3, 0.2, -1\/56060 in decreasing order.\nAnswer: 24, 3, 0.2, 1\/6, -1\/56060","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of (-102)\/(-1) - (16 - 12)?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.00601102478 to 7 dps.\nAnswer: 0.006011","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is 706541 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: 13081209 divided by 13931\nAnswer: 939","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -0.3 + -1227.\nAnswer: -1227.3","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -178 + 583. Suppose 12*u - f = 7*u. List the prime factors of u.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -452 + 451.999999423. What is i rounded to seven decimal places?\nAnswer: -0.0000006","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-4)\/(364\/(-689)) - (11 - 3)\nAnswer: -3\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 30031656 is divided by 6976.\nAnswer: 6952","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (((-168)\/(-35))\/((-8)\/20))\/2.\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Work out 0 * 60693160.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve 38*v = 26*v for v.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (p**8*p*p**(-8))**(-11) assuming p is positive.\nAnswer: p**(-11)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 1 + (-5 - (-12 - -6)).\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let f(s) = 3*s - 14. Suppose 5*y - 16 = -w - 2*w, -3*w + y = -40. What is the tens digit of f(w)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 211 divide 624746?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 14957*s**3 - 20*s**2 - 8*s + 1 wrt s?\nAnswer: 89742","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is 314301 - 4?\nAnswer: 314242","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 n when two letters picked without replacement from nhnhnnnhnnnn.\nAnswer: 6\/11","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let j(s) = 2*s**2 - 53*s - 41. What is j(-1)?\nAnswer: 14","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 0 + -0.4. What is the second biggest value in -3, -0.3, 2\/9, h?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (0 + 0 + t)*(-9*t + t + 3*t + (3 + 1 - 5)*(t - 4*t + t) + t + 0 + 0 - 3*t + 0*t + t) in the form u + q*t + o*t**2 and give o.\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 134 is divided by ((-1566)\/(-145))\/((-3)\/5 + 1)?\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(q) = -1195*q + 2300. Calculate r(2).\nAnswer: -90","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (2*(sqrt(42)\/(sqrt(27) - sqrt(3)))\/(sqrt(7) - sqrt(1008)*-3))**2.\nAnswer: 2\/1369","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 263.793 - -0.207. Let f = q - 263.945. What is f rounded to 1 decimal place?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 592247?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 1235\/66 - 138\/11. Let y = p - 17\/3. Find m such that 5\/4*m**3 - 5\/4*m - y + 1\/2*m**2 = 0.\nAnswer: -1, -2\/5, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.2690358124 to two dps.\nAnswer: -0.27","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let w(l) = -l**3 + l. Suppose 0*m - 4 = -4*m. Let r(p) = 4*p**3 + 6*p**2 - 2*p + 6. Let k(c) = m*r(c) + 5*w(c). List the prime factors of k(6).\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -10 + 18. Let a(x) = x**3 - 8*x**2 + 8. Calculate the least common multiple of r and a(8).\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.0011205037 to five dps.\nAnswer: -0.00112","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-2 + (sqrt(735) - (sqrt(735) - 2*sqrt(735)*1))\/((sqrt(275)\/sqrt(176))\/sqrt(5)) + -5)**2.\nAnswer: -784*sqrt(3) + 9457","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let i(z) = -2 - 3*z - 2*z + 3*z. Let a = 7 - 2. Let v = 9 - a. Calculate i(v).\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1182559 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose k + 5*j = -12, -k - 3*k + 4*j = 24. Which is greater: k or -13?\nAnswer: k","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 924 + -940 + (22 - 2) - (9 - 1)?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 1029 - 352 + 8*l**2 - 7*l**2 - 284 - 310.\nAnswer: l**2 + 83","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is 500 a factor of 307571?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (-12)\/54 - 92\/(-9). Suppose -4*h + 4 = -2*h, q + 4*h = z. Solve -4*n = -2*n - q for n.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence jjjj when four letters picked without replacement from jjjjjbjbjbjjjjj?\nAnswer: 33\/91","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((r**0*r)**(-5\/9))**(-16)\/((r\/(r**3\/r))\/(r\/r**6))**42 assuming r is positive.\nAnswer: r**(-1432\/9)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let x(z) be the third derivative of 37*z**4\/24 + 5*z**2 + 2. Let l(s) = -s**2. Determine x(l(v)).\nAnswer: -37*v**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -27*v = -22*v - 45. What are the prime factors of -6 - -2 - (-486)\/v?\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 7607903?\nAnswer: 37, 205619","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*i = 5*s + 648, -i + 242 = 3*s + 26. Calculate the remainder when i is divided by 55.\nAnswer: 51","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 43\/4522 and -3\/1079330.\nAnswer: 20507270","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is 239411 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -267 = -5*d + 298. Suppose -57 = 29*p - 30*p. Calculate the remainder when d is divided by p.\nAnswer: 56","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -2353000 to the nearest one hundred thousand.\nAnswer: -2400000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is 186 a factor of 4036381?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 5193?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let u be 4 + 136\/4 + -5. Suppose 0 = x - 5 - 6. Calculate the highest common factor of x and u.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 492 to the power of 1\/2, to the nearest integer?\nAnswer: 22","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let o(j) = 2*j**3 + 3*j**2 + j + 1. Let r(d) = 8*d**3 + 15*d**2 + 3*d - 99. Give -5*o(y) + r(y).\nAnswer: -2*y**3 - 2*y - 104","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let o(p) = 43 + 44 + 40 - 5*p**3 + 2*p - 129. Suppose 3*k - 5*k + 10 = 0. Let x(j) = 11*j**3 - 5*j + 4. Calculate k*o(u) + 2*x(u).\nAnswer: -3*u**3 - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 6 - 2 - 1 - 12 - -13?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Product of 11 and -3.\nAnswer: -33","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -506.97 + 553.2. Let x = p - 46. Let v = -0.296 + x. Round v to 2 dps.\nAnswer: -0.07","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 57*i - 5*q - 12124 = 55*i, 5*q - 6077 = -i. Is i a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 92 - 684. Let q = g - -645. What is the remainder when q is divided by 22?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve u - 15 = -14 for u.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let k(d) = 2*d**2 + 10*d. Let v be k(-5). Let p be ((-2)\/(-2) + 0)*1. Let b(x) = -1 - p + 4 - x. What is b(v)?\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -5, 2, -2, -7, 40, 81 in descending order.\nAnswer: 81, 40, 2, -2, -5, -7","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Put 532, 3, -2, -5, 0, 5, -39 in descending order.\nAnswer: 532, 5, 3, 0, -2, -5, -39","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 19*k + 14*k + 12 + 12*k**4 - 33*k wrt k.\nAnswer: 48*k**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 72*g**3 - 10066 + 20141 - 10075.\nAnswer: 72*g**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*r + 4 = 5*u - 1, -5*u - r = 0 for u.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*w + 2728 + 193115 = 0. Is w a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(o) = o**2 - o - 39. Let x be d(0). Let b be 1\/((-3)\/(x*1)). Let g be 1\/4 + 415\/4. What is the highest common factor of b and g?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -18 = -4*p - 2*d, 4*d - 3*d + 26 = 5*p. Does 14 divide (p - 4) + 66\/2?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(q) = -668*q - 6720. What is l(-10)?\nAnswer: -40","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {z: 1, x: 1, v: 3, y: 3, s: 2}. Give prob of sequence xsz.\nAnswer: 1\/360","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Find n such that n**4\/5 - 247*n**3\/5 - 4966*n**2\/5 - 23408*n\/5 = 0.\nAnswer: -11, -8, 0, 266","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let o(r) = 4*r**3 - r**2 - 5*r - 3. Let a be o(4). Let q = a - 120. What is the units digit of q?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -3174 by -18118.\nAnswer: 1587\/9059","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let x(w) = -w**3 - 47*w**2 - 48*w - 12. Let h be x(-46). Calculate the greatest common divisor of 5 and h.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(m) = -m + 1. Let q be n(-4). Let h(a) = -q*a + 2*a + 1 - 9*a. Is h(-3) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from cnncnnc. What is prob of sequence cnc?\nAnswer: 4\/35","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -1412*p**3 + 656*p**3 - 1861*p**3 - 1370*p**3.\nAnswer: -3987*p**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 55 + -138 + 36 - ((3 - 8) + -3)?\nAnswer: -39","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 885097 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 0.1416 + -0.12. What is l rounded to two decimal places?\nAnswer: 0.02","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(r) = 2*r**3 - 22*r**2 - 7*r + 6. What are the prime factors of h(15)?\nAnswer: 3, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 217909985?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 62 + -62. Let y(m) = w*m - 15*m - 2*m. Let t(g) = 8*g**2 - 6*g**2 + g**2. Calculate y(t(i)).\nAnswer: -51*i**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify x**(-8)*x**(-1\/3)*x*x*(x\/x**(-9))\/x**(-2\/9) assuming x is positive.\nAnswer: x**(35\/9)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between -3 and 35043?\nAnswer: 35046","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*b + 5*b + 16*b)*(-1 + 1 - 1)*(0 + 2 - 3)*(-9*b - 6*b - 22*b)*(5 - 3 - 4).\nAnswer: 1406*b**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7*v = -3*v - 16. Let k(y) be the second derivative of -y**4\/3 - 5*y**2\/2 + y. Let b(a) = 3*a**2 + 4. Determine v*k(m) + 5*b(m).\nAnswer: -m**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.000271370541 rounded to 5 dps?\nAnswer: -0.00027","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 169531869.\nAnswer: 3, 13, 173, 25127","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 0 - 0.1. Let h = -67 + 203\/3. What is the closest to -2 in -0.3, n, h?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(y) be the second derivative of -y**3\/6 + 107*y. Let k(v) be the third derivative of -1\/3*v**4 - 3*v**2 + 0*v + 0*v**3 + 0. What is k(a(x))?\nAnswer: 8*x","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 12 + -6 + 0 + -10?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 905\/4 - 6341\/28. Sort -0.9, a, 3\/8 in decreasing order.\nAnswer: 3\/8, a, -0.9","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 138\/759421 or -1?\nAnswer: 138\/759421","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Factor 5*b**2 + 6200*b + 24720.\nAnswer: 5*(b + 4)*(b + 1236)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -19 + 36. What is the tens digit of c?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose i + 48 = f, -2*f = -3*f + 2*i + 49. Let u = f - 87. Does 7 divide 2\/6 + u\/(-6)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -12*j = -1841 - 52267. What are the prime factors of j?\nAnswer: 3, 167","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -1003, -1070, -1137, -1204, -1271?\nAnswer: -1338","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -0.035 - -0.044. Let n = f - -0.991. What is the closest to n in -0.1, -0.2, 0.2?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 1\/31300164 and -59\/17132.\nAnswer: 31300164","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 162\/3485 or -1?\nAnswer: 162\/3485","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is -456803 divided by -23?\nAnswer: 19861","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((((m*m\/m**(-26))\/m*m*m)\/((m\/m**(-14))\/m*m))\/((m\/m**8*m)\/m)**(22\/7))**(-28) assuming m is positive.\nAnswer: m**(-1008)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -287 = -11*l + 4*l. What is the remainder when 204 is divided by l?\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s be 1\/(-2)*-2 + 1. Suppose -3*z = j - 29, -s*z = 4*j - 4*z - 74. Is 10 a factor of j?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(k) be the first derivative of 0*k**5 + 0*k**3 - 1\/144*k**4 + 0*k + 1\/720*k**6 - 17\/2*k**2 + 13. Let h(t) be the second derivative of o(t). Factor h(p).\nAnswer: p*(p - 1)*(p + 1)\/6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is 74e + 6d8?\nAnswer: e37","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is -1 - -110111011101000001111?\nAnswer: 110111011101000001110","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in -11\/6, -1, -9, 394?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 42*c + 47*c + 11*c - 33*c.\nAnswer: 67*c","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let g(p) = -14714440*p. Let m(f) = -f. What is g(m(k))?\nAnswer: 14714440*k","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Put -2\/11, -5, 0.1, -22, -1\/2, 13 in descending order.\nAnswer: 13, 0.1, -2\/11, -1\/2, -5, -22","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*o + 2*o - 2*o)*(5 - 4 - 3) - 8*o + 2*o + 3*o - 6*o + 2*o + o + (-o + 2 - 2)*(-2 + 2 - 1) + 0*o - 3*o + o + 0*o - 5*o + 4*o.\nAnswer: -4*o","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 34496 to the power of 1\/2, to the nearest integer?\nAnswer: 186","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 5014 and 46?\nAnswer: 46","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from oxouoouoodoooooh. What is prob of sequence ox?\nAnswer: 11\/240","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is 35939641 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -348*j + 74 + 675*j - 326*j.\nAnswer: j + 74","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 52545 + -21976. What is the ten thousands digit of v?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of (36\/81)\/(336\/60) and -1 - (244\/112 - -1).\nAnswer: 252","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 103450 and 4750?\nAnswer: 50","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Convert 227161 (base 15) to base 14.\nAnswer: 30b165","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Divide 2436 by 3.\nAnswer: 812","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let w(x) = -x**2 - 14*x + 4. Let t be w(-14). Suppose -4*h = -t*k - 48 - 136, -k - 148 = -3*h. What is the tens digit of h?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -3*d**3 + 15*d**2 + 339*d - 351.\nAnswer: -3*(d - 13)*(d - 1)*(d + 9)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Express -70 + 31*o**3 + 36 - 10*o**3 + 33 as m*o**2 + z*o**3 + u*o + d and give d.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Product of -22.4 and -7667.\nAnswer: 171740.8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 76*j**5 + 131*j wrt j?\nAnswer: 1520*j**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*g = -2*l - 6, -4*g = -2*l - 0*g + 24. Let r(m) = -m**3 - 8*m**2 - m - 3. Let b(f) = 4*f. Let x be b(-2). Let j be r(x). Solve p - l = -j for p.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 7 - 3 - (3 + -5)?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 11*v**3*z + 150306085*v**3 + 2179*v**2*z + 69*v*z + 2*z wrt z.\nAnswer: 11*v**3 + 2179*v**2 + 69*v + 2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 21517698 to the nearest integer?\nAnswer: 278","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (-2)\/(-8) - (-1)\/28. Let q be (-18)\/27*(-92)\/(-6) - -10. What is the closest to r in 1\/6, 5, q?\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(t) = -t + 68. Let c be l(26). Suppose -2*y - 2 = 0, 3*z - 100 - c = -2*y. What is the highest common factor of 4 and z?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 79003489 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 4.03 + -0.03. Let h = -0.31 + 0.31. What is the nearest to h in -2\/5, a, -5?\nAnswer: -2\/5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(h) = 23*h**3 + h**2 - h - 1. Let s be y(-1). Let u = -37 - s. Let a = 79 + u. What is the remainder when a is divided by 22?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of -75, -92, -109, -126?\n\"Answer: -17*v - 58","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is -111 + 107?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Does 13 divide 4508?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Expand (f - f + 2*f)*(2*f + 2*f - 7*f)*(-394 + 353 - 286 - 792).\nAnswer: 6714*f**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let p(k) = -k**3 + 6*k**2 - 10*k + 33. Let q be p(5). Solve -36 + 12 = -q*d for d.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between -442 and 0.043051776?\nAnswer: 442.043051776","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let c(t) = -2*t. Let r(y) be the third derivative of -13*y**7\/5040 + y**5\/30 - 3*y**2. Let s(m) be the third derivative of r(m). Calculate s(c(u)).\nAnswer: 26*u","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 699 minutes before 2:42 PM?\nAnswer: 3:03 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is 20 a factor of 927113?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Find r such that -r**2\/7 - 1399*r\/7 + 34152\/7 = 0.\nAnswer: -1423, 24","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: How many nanograms are there in 13\/5 of a microgram?\nAnswer: 2600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.0463723 millennia in years?\nAnswer: 46.3723","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 278472085781 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let n(v) = -v**2 - 5*v - 2. Let o be n(-4). Suppose 0 = -2*a + 10, 117 = 5*j - o*a + 17. Calculate the remainder when j is divided by 6.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 136969.1 rounded to the nearest one thousand?\nAnswer: 137000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 k and 2 q when four letters picked without replacement from qqhkk?\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 h, 1 v, and 1 y when three letters picked without replacement from yvyvvhvvhhvvy.\nAnswer: 63\/286","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the billions digit of 1415291720?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (-10)\/4*4\/5. Let b be (g - -2 - 1) + 1. Solve 20 = -5*a - b*a for a.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.2 times 0.51?\nAnswer: 0.102","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -141*i + 30 = -136*i, -7*v = i + 463. Which is smaller: -36 or v?\nAnswer: v","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t be 6\/(-33) + (-46)\/(-11). Suppose -14 = h + t*h + z, -z = 4. Is (-32)\/h - (-4 - -4)\/(-4) a multiple of 2?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(60)\/sqrt(2))\/sqrt(6) + 1 + 0.\nAnswer: 1 + sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1*0.9.\nAnswer: 0.9","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of 817, 1566, 2773, 4408, 6441?\n\"Answer: -5*s**3 + 259*s**2 + 7*s + 556","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 11\/5 and 58\/329.\nAnswer: 1645","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 a when two letters picked without replacement from {x: 10, r: 4, a: 5}?\nAnswer: 10\/171","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let l(t) = t**2 + 45*t - 3263. Let f be l(-84). Solve 0 = -4*s - 4*w + 4, -w - 7 = -f*s + 16*s for s.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 36 + -20. Suppose 0*y + 4*y = r. Suppose 1 = -y*p - 11, -2*m + 54 = 4*p. What is the units digit of m?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 39 minutes before 5:51 PM?\nAnswer: 5:12 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: 4*102291.461\nAnswer: 409165.844","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 15540?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let f(k) = 2*k**2 - k + 1. Let s be f(1). Let c(v) be the third derivative of v**6\/120 - v**5\/20 + v**4\/6 - v**3\/2 - 42*v**2. Calculate c(s).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 12*3728.\nAnswer: 44736","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 14850 times -281?\nAnswer: -4172850","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is -892625 less than -0.2?\nAnswer: 892624.8","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(7) + -1)**2 + -4 - sqrt(14)\/sqrt(32)) + (1 + sqrt(63) + sqrt(7))*3 + 2.\nAnswer: 9 + 39*sqrt(7)\/4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1259 is divided by 12?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: -115253 times -2\nAnswer: 230506","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is 14 a factor of 25214?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of -8831, -70912, -239493, -567818, -1109131, -1916676?\n\"Answer: -8874*q**3 - 6*q**2 + 55*q - 6","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in 3, -6, 85, 1?\nAnswer: 85","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Find r such that -18*r**4 - 872*r**3 + 6114*r**2 + 193832*r + 84864 = 0.\nAnswer: -51, -13, -4\/9, 16","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let x(l) = 5*l - 9 - 2*l - 5*l + 4*l. Let g be x(7). Suppose -g*o + o = -16. What is the lowest common multiple of 9 and o?\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is -39 + 87?\nAnswer: 49","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 3*g**3 + 6*g**4 - 2*g - 111*g**4 + 56*g**4 + 4*g**2 - 135*g**4 - 3*g**2 to d*g**2 + x + s*g**3 + l*g**4 + i*g and give s.\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((p**1)**21)**(-29)*((p\/p**(2\/3)*p)\/(p**(-3\/5)\/p))\/(p**4*p**(2\/3)) assuming p is positive.\nAnswer: p**(-9161\/15)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Round -2350599.427 to the nearest ten thousand.\nAnswer: -2350000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Convert 2 (base 12) to base 2.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 3308 a multiple of 5?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*k + 2 = 0, -4*k - 514 = 7*m - 2*m. Let u = -61 - m. What is the remainder when u is divided by -3*11*(-2)\/6?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -4438051880 to the nearest 1000000.\nAnswer: -4438000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is -331068 bigger than -331070?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Convert -2cf27e (base 16) to base 8.\nAnswer: -13171176","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 575*n**3*o**3 + n**2 + 347*n*o**3 wrt n.\nAnswer: 3450*o**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let b(q) = -2*q. Let d be b(5). Let s = 10 + d. Solve 3*k + 2*k + 10 = s for k.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(c) = -c**2 - 46*c - 8. Let j(z) = -z**2 - 48*z - 10. Give 4*j(s) - 5*t(s).\nAnswer: s**2 + 38*s","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*k = 2*v, 5*v - 500*k - 14 = -502*k for v.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -2124, -2118, -2112, -2106, -2100?\nAnswer: -2094","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 237*q**4 - 6*q**3 - 271*q**2.\nAnswer: 5688*q - 36","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {q: 9, h: 7}. Give prob of sequence qh.\nAnswer: 21\/80","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: 4794 times 0.0761\nAnswer: 364.8234","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let c(a) = a**2 + 7. Suppose v - 739 = -5*n, 11*n = -v + 15*n + 766. Let r = 758 - v. Determine c(r).\nAnswer: 23","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q be 36\/27 - 352\/(-33). Sort q, 5, -2, -3 in decreasing order.\nAnswer: q, 5, -2, -3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in 0.5, -0.418, -2?\nAnswer: -0.418","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let t(a) = -a**2 + 10*a + 4. Let u be 66\/9 + (-4 - (-14)\/3). Give t(u).\nAnswer: 20","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of 8, -383, -1452, -3541, -6992, -12147, -19348?\n\"Answer: -57*j**3 + 3*j**2 - j + 63","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 4056923 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 9\/120*(-7)\/3 and 12 + (-22)\/(15488\/9744).\nAnswer: 440","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put together 1139 and -4.76.\nAnswer: 1134.24","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is 4456981 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -61 - -82. Calculate the lowest common multiple of 12 and n.\nAnswer: 84","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*k**2 - 1 + 1 + (3 - 3 - 2*k)*(5*k - 65 + 65) - k + 2*k**2 + k + (-3 + 3 + k)*(4 - 4 - k))*(-21*k**3 + 58*k**3 - 17*k**3).\nAnswer: -140*k**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -58.5 - 8.5. Let u = l - -67.000118. What is u rounded to five decimal places?\nAnswer: 0.00012","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 1 - 2. Let a be (3 - -7)\/2*p. What is the units digit of (-47)\/(-5) + (-3)\/a?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -15249*g + 7604*g + 7951*g.\nAnswer: 306*g","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let f(i) = i**2 - 2*i - 4. Let x be f(-2). Suppose 0*d - 208 = -x*d. What is the greatest common divisor of 52 and d?\nAnswer: 52","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in 0.01, 6, -541, -4, 1\/7, 3?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3 = 8*x + 5. Find the common denominator of 143\/(-273)*((-33)\/6 - x) and 182\/(-20) + 9 + -4.\nAnswer: 70","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-15 - 6) + 31 - (-1 - -18)) + 43.\nAnswer: 36","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of 26, 153, 364, 659, 1038, 1501?\n\"Answer: 42*b**2 + b - 17","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*z + z - 2*z + 41*y = -103, -z + 4*y = -9429 + 9422 for z.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of -3, -16, -29, -42, -55, -68?\n\"Answer: -13*t + 10","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2430*u + 2434*u + 2435*u + 2435*u - 12175*u + 2434*u.\nAnswer: -7*u","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:36 PM and 10:01 PM?\nAnswer: 445","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 5cc5a (base 14) in base 15?\nAnswer: 475ca","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Find c such that -32*c**3\/3 - 1730*c**2\/3 - 1804*c\/3 - 106\/3 = 0.\nAnswer: -53, -1, -1\/16","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Express (2*t - 2*t - 5*t - 4*t + t + t + (-2*t + t + 3*t)*(-4 + 4 - 1))*(0 + 1 - 5) as x + v*t and give x.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 1714 + -11983\/7. Calculate the common denominator of f and 43\/223.\nAnswer: 1561","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(d) = -5*d**2 + 14*d + 31979. Let q(s) = 3*s**2 - 8*s - 15983. Calculate -7*q(x) - 4*z(x).\nAnswer: -x**2 - 16035","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) -1 (b) -4 (c) 0 (d) 0.28\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -28*k = -25*k - 885. Suppose -4*h + 0*y + 580 = 5*y, -276 = -2*h + y. Let o = k - h. What is the hundreds digit of o?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 1236*s - 1225*s - 66 = 0. Solve 3*d = 0, -r - 1 = 4*d - s*d for r.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 9239 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -p = -0*p + 2683. Let k = p + 5706. Suppose -5*o + k = 1048. Is o prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (t\/(t*t**(1\/6))*t**(1\/8)*(t\/t**(1\/3))**(1\/29))**(-2) assuming t is positive.\nAnswer: t**(13\/348)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 40 minutes before 5:55 AM?\nAnswer: 5:15 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -82, -89, -98, -109, -122, -137?\nAnswer: -154","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:03 AM and 2:31 PM?\nAnswer: 568","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 1347 - 196. Is n a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((s**(-8)\/s**(2\/23))**(-12))**(-12\/7) assuming s is positive.\nAnswer: s**(-26784\/161)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let q be -4*(2 + 52\/(-24)). Let j = 1.48 - 0.5. Let f = 0.02 + j. What is the second biggest value in f, q, -2\/15?\nAnswer: q","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (1 - 1 - 2*w)*(-3 + 3 + w) - w**2 + 6*w**2 - 4*w**2 + (154 - 72 - 126)*(w**2 - w**2 + 2*w**2).\nAnswer: -89*w**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*n = 4*y - 32, 3*n - 3 = 6*n. Let k(j) = 2*j**2 + 783*j - 8493. What is the least common multiple of k(11) and y?\nAnswer: 2534","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -49.215001 plus 1?\nAnswer: -48.215001","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 5551537?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 1463364?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence vaz when three letters picked without replacement from {a: 1, f: 1, v: 2, z: 1, n: 2}.\nAnswer: 1\/105","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Convert 0.058505 kilograms to tonnes.\nAnswer: 0.000058505","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (1 - 12)*(-105)\/7. Let m be (-2400)\/9*s\/(-2). Round m to the nearest 10000.\nAnswer: 20000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find t such that -3*t**5 - 1014*t**4 - 8934*t**3 - 16680*t**2 + 32841*t + 88830 = 0.\nAnswer: -329, -5, -3, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let t(l) = -12*l**2 - 2237*l + l**3 + 1124*l + 1118*l - 21. Calculate t(11).\nAnswer: -87","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 142882?\nAnswer: 2, 199, 359","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -5 + 8. Let g be 82*o\/(-3)*-1. Suppose -2*u = 2*j - 32 - 8, -5*u + g = 4*j. What is the remainder when 52 is divided by j?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many centuries are there in 39704.7 months?\nAnswer: 33.08725","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Find n, given that 3*n**3\/8 + 3603*n**2\/8 + 173745*n + 21769398 = 0.\nAnswer: -553, -324","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let k(l) = -413*l - 180835. Determine k(-438).\nAnswer: 59","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Convert 625.2431ml to litres.\nAnswer: 0.6252431","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let z(o) = 35*o - 108. Give z(3).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 41636985?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 0.6 - 0.3. Let s = -196 - -779\/4. Let y = -121 + 121. Which is the nearest to y? (a) 5 (b) s (c) l\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -4*b + 3*d + 65, 3*b + 36*d = 137*d - 63*d + 152 + 4 for b.\nAnswer: 14","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-3 - -3 - -10) + -20)\/4*40\/350?\nAnswer: -2\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(o) = -o**2. Let w(q) be the second derivative of 29*q**3\/6 - 52*q. Determine k(w(z)).\nAnswer: -841*z**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let h(f) = 11*f**2 + f. Let z be h(1). Suppose 2*v + z = 3*v. Is v a multiple of 12?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 408786 is divided by 1048.\nAnswer: 66","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 490 minutes after 12:28 PM?\nAnswer: 8:38 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -356 = -4*z + 3*m, -4*m = -7*z + 3*z + 360. Let r = -610 + 625. What is the remainder when z is divided by r?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 407?\nAnswer: 11, 37","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (3\/27)\/((2349\/29)\/10206)?\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 4*d**4 - 112*d**3 + 400*d**2 - 384*d.\nAnswer: 4*d*(d - 24)*(d - 2)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (-62)\/12 + (-18)\/(-108). Let c(q) = q**2 + 2*q + 6. What is c(z)?\nAnswer: 21","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 26313 is divided by 16?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1821139014?\nAnswer: 2, 3, 303523169","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 2\/6*-39*32\/(-3328).\nAnswer: 1\/8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is -799828 divided by -1?\nAnswer: 799828","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 0.02 - 0.52. Let l(y) = -3*y**3 + y**2 + y. Let d be l(-1). Let p = 0.8 - 3.8. Which is the closest to 0.1? (a) v (b) p (c) d\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from flduuxflllzuzuzlzlzu. Give prob of picking 1 x and 1 u.\nAnswer: 1\/38","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is 118561 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -0.5*322.\nAnswer: -161","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is 35661472763 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -28*q**2*v**2*x**3 - 2466*q**2*v**2*x**2 - 5*q**2*v**2 + 42*q**2*v*x**3 - 2*v**2 wrt x.\nAnswer: -168*q**2*v**2 + 252*q**2*v","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is 3092237 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (-57 - 1) + (-150)\/30. Let u = p + 65. Let w(o) = -o**3 + 2*o**2 + o + 2. What is w(u)?\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 2*(-3 - 148\/(-48)).\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*p - 53*t + 54*t = 35298, 4*t = -p + 11777. What are the prime factors of p?\nAnswer: 5, 13, 181","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve v = 2*n - 21, 3*v - 265*n + 266*n + 7 = 0 for v.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 j and 1 q when three letters picked without replacement from {j: 3, q: 1, d: 1}?\nAnswer: 3\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -4 in 31\/7, -0.2, 0.3?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 2 - 2. Let z = a + -0.1. Let t = 0.2 - 0.1. Put 4, z, t in ascending order.\nAnswer: z, t, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(q) = -6*q**2 + 23*q + 29. Let x be b(5). Let s(y) = 14*y + 11. Let o(a) = -5*a - 4. Calculate x*s(t) - 17*o(t).\nAnswer: t + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is 258482 a multiple of 7?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -9704 + 378431\/39. Calculate the common denominator of f and 5\/12.\nAnswer: 156","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Add -355964209 and -34.51.\nAnswer: -355964243.51","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (v\/(v*v\/((v\/((v\/(v**(1\/2)\/v))\/v)*v)\/v)))**(-19)*(v**1)**(3\/14) assuming v is positive.\nAnswer: v**(68\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0.1? (a) -11 (b) -1\/55 (c) 22 (d) -1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve -7*d - 3 = -17 for d.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -191 - -98. What is i rounded to the nearest ten?\nAnswer: -90","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 3772790330*q**2 + q**3 + 77 - 3772790330*q**2.\nAnswer: q**3 + 77","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let n(u) = -u**2 - 4*u + 4. Let d be n(-4). Differentiate 4*y - 2 + y - d*y wrt y.\nAnswer: 1","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 70989303057 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Sort -0.5, 181, -13 in decreasing order.\nAnswer: 181, -0.5, -13","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in c**2 + 44419294*c**3 - 44419231*c**3 - c**2.\nAnswer: 63*c**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose l - 957 = -3*h, h = -4*l - 2336 + 6175. Is l a multiple of 32?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(j) = j + 15. Calculate o(-8).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: ((-9128)\/(-168) - 53)*3\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -z - 5*l + 31 = 0, 26 = -4*z + 5*z + 4*l. Suppose -z*m = 741 - 1413. Calculate the greatest common divisor of m and 32.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -r - 5*h + 8 = 0, -h + 8 = r - 0*h. Suppose -2*y - 2*y = -r. Let o(t) = 0 - t + y + 4*t. Let a(k) = k**2 + 4*k + 2. Calculate 2*a(n) - 3*o(n).\nAnswer: 2*n**2 - n - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0.1 - 41041627.3519.\nAnswer: -41041627.2519","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-7)\/(42\/60))\/(((-72)\/(-90))\/(120\/25)).\nAnswer: -60","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Add -4789 and -44.\nAnswer: -4833","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Round -3124011.31 to the nearest 1000.\nAnswer: -3124000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let y(n) = -4*n + 19. Let v be y(4). Let g be v + 2*1*1788\/8. What is the highest common divisor of 50 and g?\nAnswer: 50","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 95 and 1273.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let g(w) = 8*w**2 + 7*w + 7. Is g(-6) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 946 by 43.\nAnswer: 22","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let d(w) = 2*w - 3. Let v(t) = -t + 1. Let i(z) = 7*z**2 - 6*z + 1. Let k be i(1). What is k*d(c) + 5*v(c)?\nAnswer: -c - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 74045?\nAnswer: 5, 59, 251","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let p(m) = -2*m. Let f(v) be the first derivative of -191*v**2 + 2*v + 565. What is f(p(o))?\nAnswer: 764*o + 2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 1348855.2 months in decades?\nAnswer: 11240.46","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 19045506219 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 3 - -1. What is the smallest common multiple of j\/6 + 112\/21 and (-1)\/(-2) - 30\/(-4)?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(g) = 8*g**2 - 3*g + 12. What is the remainder when k(5) is divided by 42?\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -2*a**2*l - 25*a**2 - 3*a*l + 24*l + 2 wrt a?\nAnswer: -4*a*l - 50*a - 3*l","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -4? (a) -1.3 (b) 1\/9 (c) -1\/8\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth root of 17635 to the nearest integer?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -83200 + 155813. Is l prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 156581*k - 5*p + 26 = 156583*k, 0 = 3*k + 3*p - 12 for k.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -478 - 2846 = -4*s. Let b = 1274 - s. Let d = b + -173. What is the tens digit of d?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let 2*t**5 - 2366*t**4 - 245444*t**3 - 7175872*t**2 - 49600320*t = 0. Calculate t.\nAnswer: -44, -10, 0, 1281","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let w(q) = 15*q**2 + 10*q + 13. Let u be w(-5). Let n = 55 - u. Round n to the nearest ten.\nAnswer: -280","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(i) = 2*i + 4. Let f = -104 - -103. Let v be m(f). Suppose 2*q - 2*t = 1254, -v*q + 695 = t - 565. Is q a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -15 + 277*c**3 + 1001*c**3 + 6.\nAnswer: 1278*c**3 - 9","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1349137?\nAnswer: 17, 61, 1301","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (-24)\/14*(27\/(-2))\/(-3). Let p = -383\/56 - y. What is the common denominator of p and 89\/12?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(h) = -12067*h - 452. What is the units digit of l(-1)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 4582 and 1580.\nAnswer: 45820","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 519262?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -27028 - -53105. Is t composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 98967.44 millilitres in litres?\nAnswer: 98.96744","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*r - 5*r - 52 = 3*u, 5*u = -2*r - 55. Let l = 13 + u. What is the third derivative of 3*m**3 - m**2 - l*m**3 - 3*m**2 wrt m?\nAnswer: -6","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {e: 1, d: 4, w: 1, t: 2}. What is prob of sequence td?\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Express 107*s - 389*s**3 + 2 + 108*s - 446*s + 115*s - s**2 + 115*s as k*s + g*s**2 + n*s**3 + p and give p.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (-5)\/20 + (-42)\/(-8) - 3. Differentiate 2*j - j**2 + 3 + j**2 + 13*j**n + 19*j**2 wrt j.\nAnswer: 64*j + 2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*m + m - 6*a + 4822 - 4834 = m, -2*a - 1 = -m + 5 for m.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 9717363 to the nearest integer?\nAnswer: 3117","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let u(c) = -13*c - 5. Let q(d) = 13*d + 6. Let o(f) = 5*q(f) + 6*u(f). Let g(b) = b**2. Give o(g(m)).\nAnswer: -13*m**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence nn when two letters picked without replacement from rnnkr?\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 8 - 6. Let x(c) = c - 3. Let z be x(13). Let -u - z*u**r + 4 - 2*u**3 + 0*u**3 + 6*u**4 - u + 4*u**3 = 0. Calculate u.\nAnswer: -1, 2\/3, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 5*p**2 - 30*p - 200.\nAnswer: 5*(p - 10)*(p + 4)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Does 208 divide 6261738?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: -115*98\/(-33810)*(-234)\/2\nAnswer: -39","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is -11 + 344110130?\nAnswer: 344110115","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 5041.\nAnswer: 71","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve 70*k - 1950 = -2860 for k.\nAnswer: -13","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 18474?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 96172 is divided by 5061?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve w**5\/3 + 211*w**4\/3 + 14096*w**3\/3 + 246524*w**2\/3 - 1125280*w + 1038336 = 0 for w.\nAnswer: -78, -64, 1, 8","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Total of -2963 and -67785.6.\nAnswer: -70748.6","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of 35, 60, 59, 20, -69, -220, -445?\n\"Answer: -2*g**3 - g**2 + 42*g - 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 75017 to the power of 1\/4, to the nearest integer?\nAnswer: 17","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let p(v) = -v. Let y(b) = -2*b**2 + 111219. What is p(y(t))?\nAnswer: 2*t**2 - 111219","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.000175116 rounded to 6 decimal places?\nAnswer: 0.000175","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 236*k - 5607 + 26832 - 113*k + 20348 - 122*k.\nAnswer: k + 41573","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is -10111000 - 101100001110000?\nAnswer: -101100100101000","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let a(x) = x**3 - 7*x**2 + 14*x + 8. Is a(7) a multiple of 11?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 37*n**3*p**2 - 5645*n**3*p + 24626998*n**3 + 4*n**2 - 5*n*p wrt p.\nAnswer: 74*n**3*p - 5645*n**3 - 5*n","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Add together 264.147 and 206.\nAnswer: 470.147","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 8020767 - 21*m**3 - 8020767.\nAnswer: -21*m**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -127\/36 and -103\/33322564.\nAnswer: 299903076","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -f + s, 14 = -3*f - 5*s - 2. Sort -3, -4, f.\nAnswer: -4, -3, f","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 2*u - 3 + 3 + (188 + 4*u - 188)*(-15 + 15 - 13) to h*u + l and give h.\nAnswer: -50","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 530 minutes after 5:27 PM?\nAnswer: 2:17 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is -6860453 (base 10) in base 11?\nAnswer: -39663a6","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Express -2*z - 3*z - 4*z + (2 - 5 + 1)*(-z - 3*z + z) + 433*z - 176*z + 472*z as s + u*z and give s.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let q(m) = m - 11. Let g(d) = 4*d - 66. Let o(j) = -g(j) + 6*q(j). Let v(n) = -n - 40. Calculate v(o(x)).\nAnswer: -2*x - 40","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -4*(sqrt(9)\/sqrt(3) + sqrt(3)) + -5*(sqrt(3) + -1)**2 - -1*(4*sqrt(30)*-1)\/sqrt(10).\nAnswer: -20 - 2*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of 731, 679, 667, 725, 883, 1171, 1619?\n\"Answer: 5*d**3 - 10*d**2 - 57*d + 793","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*x + 2 = 2*q, -3*x = -5*q + 26 - 7. Which is the smallest value? (a) x (b) -112 (c) -4 (d) 3\/5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*u - 89 = 5*n, 94*n - 77*n - 4*u = -u - 292 for n.\nAnswer: -17","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (-3)\/(-6) + 141\/6. Solve 5*j + d = 4 for j.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*w + 3 = -0*o + o, -2*o = 5*w - 6. Let p(a) = -a**3 + 45. Let j be p(w). Let q = -19 + j. What is the tens digit of q?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1\/4, 6, 4\/5, -0.1 in descending order.\nAnswer: 6, 4\/5, 1\/4, -0.1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:02 AM and 5:15 PM?\nAnswer: 373","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Put -427, -2, 19, 0, 2 in decreasing order.\nAnswer: 19, 2, 0, -2, -427","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is (-124)\/(-18) + 24\/36*-9?\nAnswer: 8\/9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 141 in -26, -0.312, -0.4?\nAnswer: -0.312","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 9*q - 12*q = -204. Suppose 0 = 3*n - 245 + q. Let i = 176\/3 - n. Which is the closest to i? (a) 3\/7 (b) 4 (c) 0.1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out -4139110727137 - -0.2.\nAnswer: -4139110727136.8","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*w = -w + 20 for w.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-20)\/(-4)*(-5)\/(-15)?\nAnswer: 5\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve -705 = -4*a + 4*c - 661, 0 = a + 3*c + 9 for a.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-1 - 5*r + 1)*(-2 + 1 + 5 + 0 + 1 + 0 + (-4 + 4 + 1)*(3 - 3 + 1) - 1 - 1 + 0).\nAnswer: -20*r","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 7727?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: How many kilograms are there in 682675.1 nanograms?\nAnswer: 0.0000006826751","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (0 + 1)*(3 + -6). Let i = r - -9. List the prime factors of i.\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (10 - 3)*(-15)\/((-510)\/(-136))?\nAnswer: -28","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.000010485 to 6 decimal places.\nAnswer: -0.00001","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -534720 divided by -17824.\nAnswer: 30","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 651076 - 346457. Is f a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 307 divided by -12?\nAnswer: -307\/12","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 4352.3 - 4352.76661. What is v rounded to one dp?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(m) be the first derivative of 9*m**2\/2 - 8*m + 7. Let p be d(3). Let 8*s + p - 24*s - 3 + 4*s**2 = 0. What is s?\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 120 and 257775.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Product of 5058.8839 and 3.\nAnswer: 15176.6517","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Sort 6, -1\/19, -1, -5, -0.20571 in increasing order.\nAnswer: -5, -1, -0.20571, -1\/19, 6","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 k, 2 e, and 1 r when four letters picked without replacement from {r: 5, k: 4, e: 6}.\nAnswer: 20\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Does 10 divide 62271?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 33 and (-4 - (-27)\/6)*4 - -4?\nAnswer: 66","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-5*k + 6*k - 4*k)*(-2*k - 2*k + 0*k) + 19*k**2 + 11*k**2 - 39*k**2.\nAnswer: 3*k**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let r be 19\/2 - 1\/(-2). What is the common denominator of (-448)\/180 + (-4)\/r and (-1)\/((2\/(-3))\/2)?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 441 and 114639?\nAnswer: 2407419","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 7 + 95 + -922 + 868?\nAnswer: 48","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let s(m) = -35*m + 24. Let y(b) = -11*b + 8. Give -2*s(n) + 7*y(n).\nAnswer: -7*n + 8","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is 11927 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 1790221*d**2*m**2 + 139*d**2*m + 41*d**2 + 2*d - 4*m wrt m.\nAnswer: 3580442*d**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: 161 times 2109.35\nAnswer: 339605.35","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -308 - -442. Suppose o = 8*b + 22. What is the units digit of b?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of 2491, 2356, 2081, 1666, 1111?\n\"Answer: -70*m**2 + 75*m + 2486","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 0 + -0.2. Let p be 2 + 12 + (6 - 2). Let b be p + -18 - 4\/14. Which is bigger: b or m?\nAnswer: m","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 75\/(-9) + ((-253)\/(-46) - 12\/8).\nAnswer: -13\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is -1071262 + -28?\nAnswer: -1071290","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 1172, 1685, 2196, 2705, 3212, 3717, 4220?\nAnswer: 4721","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-3 + sqrt(7)*-2 - sqrt(77)\/sqrt(176) - (sqrt(28)*4 - sqrt(14)\/sqrt(2)*-6))**2 + -3*(sqrt(252)\/(sqrt(24)\/sqrt(4)) - sqrt(42))\/sqrt(6)*4.\nAnswer: 195*sqrt(7)\/2 + 29719\/16","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 23393 to the power of 1\/2, to the nearest integer?\nAnswer: 153","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Does 12 divide 4716?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 445686, 891419, 1337152, 1782885?\nAnswer: 2228618","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-21)\/2)\/(-7)*-2.\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {x: 5}. What is prob of picking 4 x?\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve -g - 29 + 33 = 4*o, -20 = 2*o - 5*g for o.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Express -46070*m + 1957 - 46073*m + 92143*m + m**2 in the form h*m + s + n*m**2 and give n.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -12\/7 - -79\/42. Let m(v) be the second derivative of 3*v + 0 + 0*v**2 - f*v**3 + 2\/3*v**4. Give m(1).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(o) = 14*o**2 + 12*o + 12. Let g(t) = t**2 + t - 3. Let x(k) = -k**2 - k + 2. Let u(n) = 3*g(n) + 4*x(n). What is -a(m) - 12*u(m)?\nAnswer: -2*m**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let y be -15 + (3 - (-4 + 7)). Let d be -111*70\/y - -2. Does 6 divide d\/44 - 4\/(-22)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -f**3\/2 - 4*f**2 - 21*f\/2 - 9.\nAnswer: -(f + 2)*(f + 3)**2\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is 12 - 5 - 46\/(-4)*21928 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -274 + 281. Let w be (u + 1)*(-12)\/(-24). Solve 2*z - 3*z - 2*t + 5 = 0, 13 = 3*z + w*t for z.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(m) = m**3 + 5*m**2 + 6*m + 10. Let a be r(-4). Solve a*c + 16 = -2*c for c.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in -1.77, 4, 342?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -1 + 3 + -48 + (7 - 8 - (3 + -1)).\nAnswer: -49","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 6 and ((-7)\/(-4) + -2)*-12?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(v) = v**3 + 4*v**2 - 6*v. Let t be p(-5). Suppose 3*b + 3*k = -14 + 2, t*b = -k - 8. What is the third smallest value in -1\/3, b, 2?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Subtract 23665041937955 from 0.4.\nAnswer: -23665041937954.6","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is 351708 a multiple of 159?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is 15 a factor of 82247365?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let j(u) be the second derivative of 51*u**7\/280 - 13*u**4\/6 + 9*u**3 - 123*u. Let x(t) be the second derivative of j(t). Differentiate x(n) with respect to n.\nAnswer: 459*n**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3*s**2 - 5*s**2 + 0*s**2)*(1475*s - 268 + 1396*s - 2860*s).\nAnswer: -22*s**3 + 536*s**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 1291458 to the nearest integer?\nAnswer: 109","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 1152 and 27.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {z: 1, p: 1, e: 6, d: 3, u: 2}. Give prob of picking 3 d and 1 u.\nAnswer: 2\/715","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (8\/108)\/(1\/3).\nAnswer: 2\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 0 + -1. Let v be (-234)\/429 + 288\/(-198). Put 3, p, v, -4 in ascending order.\nAnswer: -4, v, p, 3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(l) = l**2 + 1. Let a be u(-1). Let w = a + -4. Is w\/9 + (-816)\/(-27) a multiple of 11?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3*q**2 - 3 + 3 + (4 - 2*q - 4)*(7*q + 0*q - 4*q))*(0 + 0 + 2*q)*(-4*q + 3*q + 2*q).\nAnswer: -18*q**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let f(z) = -7*z + 169. Let n be f(21). Calculate the greatest common factor of 242 and n.\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose y - 234 = 7*y. Let p = 170 + -92. Let z = p + y. Is 12 a factor of z?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 16284 to the power of 1\/3, to the nearest integer?\nAnswer: 25","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of 6378, 6373, 6360, 6333, 6286, 6213, 6108?\n\"Answer: -a**3 + 2*a**2 - 4*a + 6381","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Convert 600649 (base 10) to base 9.\nAnswer: 1114837","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 31273 is divided by 3886?\nAnswer: 185","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -1.9 - -1.77. Let b = 0.77 - u. Let m = b - 0.4. Sort -2, 2\/5, m in ascending order.\nAnswer: -2, 2\/5, m","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 6\/(((-1001)\/2548)\/((-2)\/28)).\nAnswer: 12\/11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let f(w) = 4. Let j(v) be the first derivative of -v**4\/4 + 5*v + 1063. What is -5*f(q) + 4*j(q)?\nAnswer: -4*q**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -29 + 53. Suppose -l + 5*l + d = y, -4*l = 4*y - 16. Calculate the lowest common multiple of 2\/(-3*1\/(-9)) and y.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 349356 divided by -14.\nAnswer: -24954","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 m, 1 k, and 1 n when four letters picked without replacement from okkmonnomovknvo.\nAnswer: 3\/455","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve -b - 12 = -3*k, -6*b - 4*k = -2*b for b.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (2 + 18\/(-12))*8. Let m(p) = -p**2 + 8*p - 4. Let j be m(5). Suppose -d*w + 563 = 5*z, 0 = -z + 7*w - j*w + 119. What is the hundreds digit of z?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 15*k**4 - 2*k**3 - 9823436*k**2 + 41634*k + 1374.\nAnswer: 180*k**2 - 12*k - 19646872","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -3*a + 2*l - 3, -a + 3*l - 12 + 4 = 0 for a.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -10187\/14 - -731. Find the common denominator of -83\/6 and m.\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -22 + 44. Let x = b - 12. Is x a multiple of 3?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 71 + -51. Suppose 3*g + 2*g - 30 = -5*m, 0 = 3*m + 4*g - p. What is the units digit of m?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 65071 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -20375609, -40751217, -61126827, -81502439, -101878053?\nAnswer: -122253669","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let c(p) = -475*p - 5171. What is the least common multiple of 66 and c(-11)?\nAnswer: 594","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(x) be the third derivative of 0 - 67\/12*x**4 - 27\/2*x**3 - 10*x**2 - 4*x. Find the first derivative of a(h) wrt h.\nAnswer: -134","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (-60)\/(-160) - ((-357)\/(-120) - 2). What is the third biggest value in r, 0.25, 120?\nAnswer: r","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 10611725?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 51 minutes after 6:43 PM?\nAnswer: 7:34 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let x(v) = -2004*v**3 - 8*v**2 - 16*v + 16. Let f(q) = 1336*q**3 + 5*q**2 + 10*q - 10. What is -8*f(j) - 5*x(j)?\nAnswer: -668*j**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 495 - 715. Let f = n - -555. Suppose -3*u + 170 = 3*t - 1, 5*t = 5*u - f. What is the remainder when u is divided by 22?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (16\/(-6))\/4 - (-104)\/3. Suppose -5*d - v + 63 = 0, -v = -3*d + s - 1. Let h(r) = 6*r**2 - r. Calculate the remainder when d is divided by h(1).\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 25558711?\nAnswer: 25558711","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let d(s) be the third derivative of 7\/24*s**4 + 1\/120*s**6 + 3\/2*s**3 + 0 - 14*s**2 - 2\/15*s**5 + 0*s. Calculate d(7).\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out -8705710 - -2101.\nAnswer: -8703609","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let c(u) = 31*u + 26*u - 56*u - 1. Let p(g) = -g**2 + 34*g - 357. Let i(n) = 4*c(n) + p(n). Suppose i(s) = 0. Calculate s.\nAnswer: 19","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g be 2\/(-3)*(11 - 10). What is the nearest to g in -2\/25, 0, 3, 0.1?\nAnswer: -2\/25","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 32 - 12\/(-54)*-117.\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of 1242057, 1242054, 1242051, 1242048, 1242045, 1242042?\n\"Answer: -3*s + 1242060","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth root of 977186 to the nearest integer?\nAnswer: 31","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-5*g**2 + 3*g**2 + 4*g**2 + (-20*g + 173 - 173)*(-g - 3 + 3))*(g - g - g) to r + q*g**3 + x*g + p*g**2 and give q.\nAnswer: -22","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth root of 740 to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 1397465*j + 1698000 wrt j?\nAnswer: 1397465","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 950 and 665.\nAnswer: 6650","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-2*sqrt(33)\/sqrt(3) + 5)**2 + 0 + -2 + sqrt(99) - (4 + sqrt(44)\/(5*sqrt(8)\/sqrt(2)) + 3).\nAnswer: -86*sqrt(11)\/5 + 60","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 149*l**3*m**3 + 30*l**3*m*o**2 + 2*l**3*m - 156*l**2*m**3*o**2 + m**2*o - 9*o**2 wrt m.\nAnswer: 894*l**3 - 936*l**2*o**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 14 - (20 - (5 + -2)).\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is -1210210 (base 3) in base 13?\nAnswer: -7a4","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 2173?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 205 and 656.\nAnswer: 41","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {t: 2, x: 2, f: 1}. What is prob of picking 2 t and 2 x?\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8 = 3*g - 5*g. Suppose 0 = -g*o + 5*l + 20, -4*o = l - 2*l - 4. Suppose o = -4*b - b. Solve -q = -b*q + 3 for q.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -17\/65 - 11\/455. Let l = -0.04 + 2.04. What is the third smallest value in l, j, 1\/5?\nAnswer: l","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: 102214031 (base 5) to base 8\nAnswer: 1506322","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let n(x) = -x**2 - 17*x - 29. Let f be n(-15). Which is smaller: f or 4\/5?\nAnswer: 4\/5","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -g**2*v + 19*g**2 + 4*g*v + 1595*g - 25729*v - 148 wrt g?\nAnswer: -2*g*v + 38*g + 4*v + 1595","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let l(h) be the third derivative of -5821*h**7\/210 - 17*h**4\/24 + 173*h**3\/6 + 3326*h**2. Find the second derivative of l(y) wrt y.\nAnswer: -69852*y**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 481178\/11 or 43743?\nAnswer: 43743","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*t + 241 = -797. Let a = t - 146. Is 3 a factor of a?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in 89, -1\/7, 0.1, 0.3, 4?\nAnswer: -1\/7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is x in 2*x**3 - 9784*x**2 - 186618*x = 0?\nAnswer: -19, 0, 4911","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*k + 14 = 5*k. Let x(r) = 10*r**3 + r - 1. Let b be x(k). Let h = 136 + b. Is h a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*z = 2 + 6. Suppose -z*f - 18 = -3*f + 2*k, 5*f + 2*k = -90. Is (50\/20)\/((-1)\/f) a multiple of 15?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -146 + 158. Let f(m) = -5*m - 15*m + n*m. Let j(w) = 3*w. Calculate j(f(y)).\nAnswer: -24*y","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let v(a) = -521*a - 2. Let c(x) = 133900*x + 515. Determine -4*c(n) - 1030*v(n).\nAnswer: 1030*n","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Expand v - v + 2*v + (0*v - 2*v + 4*v)*(75 - 130 - 83) - v + 2*v - 3*v - v + 0*v + 0*v + (0*v - 2*v + 0*v)*(5 - 1 - 2).\nAnswer: -281*v","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 137\/12 - 59\/4. Let d = -23 + 47\/2. Put d, 4, z, 0.3 in ascending order.\nAnswer: z, 0.3, d, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 433 - 315. Suppose -2*s + 21 = 2*g - 231, -g + j = -3*s. Calculate the highest common divisor of 434 and g.\nAnswer: 62","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*q + 19 - 4 = 0 for q.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let v(b) be the third derivative of -1\/3*b**3 + 1\/6*b**4 - 196*b + 2*b**2 + 0. Determine v(2).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 3 (base 10) in base 15?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let l(m) = -6 - 6*m**2 + 0*m**3 + 2*m**3 + 0*m**2 - m**3. Suppose 0 = p + 2 + 4. Let t(w) = 6*w**3 - 17 - 8*w**2 - 3*w**3 - 9*w**2. Determine p*t(u) + 17*l(u).\nAnswer: -u**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (-2*2 - 0)\/1. Let l = 198201 + -198203. Put l, a, 0, 1 in decreasing order.\nAnswer: 1, 0, l, a","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -58198 and -2.5.\nAnswer: 145495","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Round -2351.60081 to the nearest 1000.\nAnswer: -2000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 17 + -4 - (-76 - -130)?\nAnswer: -41","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Are -0.74 and 803 nonequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of 157, 328, 513, 712, 925?\n\"Answer: 7*d**2 + 150*d","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -9.94 - 2.23.\nAnswer: -12.17","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -17 - -36 - (84 + -29)?\nAnswer: -36","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 52 = 7*h + 45 for h.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let z(t) = 129*t + 147. Let c be z(4). Let m = -645 + c. Solve -y - 5*g = -m, 3*g = -10*y + 5*y + 2 for y.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 211274514 a multiple of 3014?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -12 = 3*j, -4*j = -4*u - 0*u + 208. Let t be (u\/(-10))\/((-2)\/35). Suppose -t = -x - 3*x. What is the units digit of x?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is -18 + -a27?\nAnswer: -a41","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve -12*t - 8440 = -8572 for t.\nAnswer: 11","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*s - 12 = -0*s. Let d(u) = 2*u**2 - 4. What is the remainder when d(3) is divided by s?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (2*g + 4*g - 3*g)*(-65*g**2 + 154*g**2 - 36*g**2) to the form x*g + v*g**2 + d + u*g**3 and give u.\nAnswer: 159","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 30*j = 31981 - 1531. Does 5 divide j?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*s - o + 2 = -s, s + 2 = -3*o. Let f be (-7 + 7)*s\/4. Let y = 277\/42 - 31\/6. Which is smaller: y or f?\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 285 and 195?\nAnswer: 3705","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 92\/135 + -2\/135. Let f = 20.9 - 20.8. Which is the closest to k? (a) -5 (b) f (c) 2\/3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 168 + -166. Sort 12, -3, q.\nAnswer: -3, q, 12","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 65955 and 123116.\nAnswer: 1846740","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of 264, 259, 254, 249?\n\"Answer: -5*f + 269","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let a be 1*(-11)\/((-66)\/24). Let o = 1.96 + 0.04. Let s = 0 + o. What is the closest to -2 in 2\/11, s, a?\nAnswer: 2\/11","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-1 - -4)\/(507\/3042)?\nAnswer: 18","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -i**4 - 4*i**2 + 4*i**2 + (3*i**2 - 2*i**2 - 3*i**2)*(-2*i**2 + 0*i**2 + i**2) - 3*i**4 - 2*i**4 + 3*i**4.\nAnswer: -i**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*j = -8, -70*c + 73*c + 4*j + 5 = 0 for c.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 138122 to the nearest integer?\nAnswer: 372","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Expand 3*c**3 + 0*c**3 + 3*c**3 + (-2*c**3 - 2*c**3 + 2*c**3)*(-13 - 11 + 5)*(-2 - 3 + 0)*(4 - 3 - 3).\nAnswer: 386*c**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let d(m) = m + 8. Let p(f) = -f**2 - 8. Let x be p(0). Let c be d(x). Let j(q) = 0*q + 3*q**2 + c*q. Let w(a) = -2*a. Give j(w(h)).\nAnswer: 12*h**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (92*m - 34*m + 48*m - 2*m + m + 3*m + (2 + 0 - 4)*(0*m + 0*m - 2*m) + m - m + m + 29 + 21*m - 29)*(3 + 1 - 5) to the form a + i*m and give i.\nAnswer: -134","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*g**3 + 3036*g**2 - 3038*g.\nAnswer: 2*g*(g - 1)*(g + 1519)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is -95392.96 rounded to the nearest 10000?\nAnswer: -100000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let v be 1\/(-2)*(-72)\/18. Solve p - v = -p for p.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(u) = 521*u - 2731. What are the prime factors of s(121)?\nAnswer: 2, 5, 37, 163","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(320) - sqrt(20))*4 + -1 + -2 + sqrt(1125) + -1*-2*sqrt(1125) + sqrt(1125) + -1 + -1)**2.\nAnswer: -840*sqrt(5) + 35305","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 g and 1 j when three letters picked without replacement from {u: 2, j: 2, h: 4, w: 2, g: 6, i: 4}?\nAnswer: 1\/38","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {m: 5, o: 1, c: 4, r: 1, n: 3}. What is prob of sequence nn?\nAnswer: 3\/91","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in 9\/17, 2\/11, -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let j(x) be the third derivative of -7*x**5\/30 - 17*x**2. Let n(f) = -f**2. Calculate n(j(q)).\nAnswer: -196*q**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let p(n) = 1438*n - 346. Let l be p(39). Let v(x) = -55736 + l - 4*x. Let f(o) = -15*o**2. Give v(f(g)).\nAnswer: 60*g**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -7 + 10 - 3 - -4.\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 b and 1 l when two letters picked without replacement from {m: 1, s: 1, k: 4, b: 4, x: 1, l: 3}?\nAnswer: 12\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: 12\/(-10)*(121\/22)\/(-11)\nAnswer: 3\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 182204 a multiple of 109?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -342 divided by 171.\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let d be 261\/(-81) - 4\/(-18). Let y be (d\/6*6)\/((-6)\/(-4)). Suppose 0*l = -3*l + 6. What is the third smallest value in 5, y, l?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(m) = m**3 - m**2 + 1. Let g(q) = 42*q**3 - 2*q**2 + 2. Calculate -2*c(l) + g(l).\nAnswer: 40*l**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 1 - -8. Let p = f + -9. What is the third derivative of 0*a**3 + p*a**2 - a**2 - 4*a**3 wrt a?\nAnswer: -24","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify c**3*(c\/(c*c**(-19)*c))\/c assuming c is positive.\nAnswer: c**20","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 2\/11 in 159, -63\/2, 4?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence btf when three letters picked without replacement from {e: 1, h: 4, b: 1, f: 4, t: 3}?\nAnswer: 1\/143","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let o(t) = t**2 - 172*t + 6256. Let h be o(52). Let n(y) = 2*y**2 - 33*y - 25. Give n(h).\nAnswer: -41","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in -460, -1.2, 2\/3, 4, 0.14?\nAnswer: -460","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (10\/8 - -4 - 4)*4. Suppose s*c - i - 464 = 0, 3*i + 3 - 175 = -2*c. Calculate the highest common divisor of c and 69.\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(n) be the third derivative of 0*n - 1\/3*n**3 + 0*n**4 + 0 + 0*n**5 + 1\/60*n**6 - 3*n**2. What is the derivative of a(s) wrt s?\nAnswer: 6*s**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 212.61792 months to years.\nAnswer: 17.71816","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (u**4*u**3*(u**1\/u)**45)\/((u**(2\/9))**(-48))**(-9) assuming u is positive.\nAnswer: u**(-89)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0.1*-1107.97.\nAnswer: -110.797","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*s - 48 = -4*s. Is 2 a factor of s?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (132\/396)\/(((-5)\/(-45))\/(14\/6)).\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 0.9 - -9.1. Let b = w - 9.86. Let t = 0.12 - b. Is 2\/7 less than t?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(l) be the second derivative of 9\/20*l**5 + 0 - 2*l - 5\/6*l**4 + 0*l**3 + 0*l**2. What is the third derivative of x(u) wrt u?\nAnswer: 54","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(h) = -h**2. Let r be 3 - (-3 - 1)\/4. Let m(g) = r*g - 7 + 3 + 4. Give m(w(t)).\nAnswer: -4*t**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let q(b) = -b + 9. Let a be q(6). Let m = 8 - a. Put m, -4, 1 in descending order.\nAnswer: m, 1, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -24*c = -125261 - 9763. What is the thousands digit of c?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 192 and 240?\nAnswer: 960","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*k + 12 = 0, 0 = -3*n - 2*n - 3*k - 581 + 574 for n.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let w(f) be the first derivative of -1 - f + 5\/4*f**4 - 1\/3*f**3 + f**2. Suppose 0 - 5 = -5*d. Give w(d).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -22755 minus -43.596?\nAnswer: -22711.404","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 7759921 to the power of 1\/8, to the nearest integer?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*z + 2 + 6 = 0, -4 = -2*f + 5*z. Let k = 4 - 3.1. Let j = k + 0.1. Which is the third smallest value? (a) j (b) 2 (c) f\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((4*(sqrt(91) + (sqrt(91) - 1*sqrt(91))) + ((-1*sqrt(91) + sqrt(91))*3 - sqrt(91)))*-4)\/(sqrt(56)\/sqrt(648) + (sqrt(7) - sqrt(42)\/(sqrt(6)*-2))))**2.\nAnswer: 606528\/841","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -9? (a) -4 (b) -1\/10 (c) 0.4 (d) -2\/11\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*f + 116 = 124 for f.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 85 - 84.735. Round r to two dps.\nAnswer: 0.27","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l be 132\/341528*((-8)\/(-6))\/1. Which is greater: 1 or l?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -t = -6*t - 5. Let k(z) = -26*z - 1. What is the remainder when 95 is divided by k(t)?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 63017038223 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (r**(3\/4)*r**(-2\/5))\/(((r\/(r\/(r*r**5)))\/r)\/((r\/r**(1\/5))\/r*r))*(r**0\/(r\/(r**(3\/10)*r)))**(-28) assuming r is positive.\nAnswer: r**(-49\/4)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is -10202 + -111012?\nAnswer: -121221","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (122 - -3)\/1 - (1 - -4). Let d(l) = 25*l**2 - 1. Let m be d(1). What is the highest common factor of r and m?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 10 = -2*a - d, 645*a - 29 = 648*a + 5*d for a.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1142*l + 2*n = 1145*l + 7, 4*l - 2*n + 4 = 0 for l.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is -1 - (-3 - (1 - 2))?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4 = -5*t - 2*l, -2*t + l - 5*l + 8 = 0 for t.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 9 + -2. Let u = g + -4. Find the second derivative of 3*h - 7*h**u + 5*h**3 - 4*h wrt h.\nAnswer: -12*h","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 11719078 is divided by 418?\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is 13933267 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-3 + 6*(sqrt(567) - (2 + sqrt(567) + sqrt(567) + sqrt(567))))*2.\nAnswer: -216*sqrt(7) - 30","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((t\/t**(11\/4))\/(t\/(t*t**(3\/19)*t*t*t)))**(-36\/11) assuming t is positive.\nAnswer: t**(-963\/209)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -104239 = 5*r + 5*i - 358939, 0 = -5*r + 2*i + 254693. Let a = r + -35539. Round a to the nearest 1000.\nAnswer: 15000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is 4 + 1312b21?\nAnswer: 1312b25","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 560 and 224?\nAnswer: 112","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let g(n) = -31*n - 2. What are the prime factors of g(-1)?\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -3992.437338 + 3992.86. Let o = h - 0.423. Round o to four dps.\nAnswer: -0.0003","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -56*r - 109 + 389. Let f(l) be the third derivative of -l**4\/24 + 2*l**2. Let v be f(-7). Sort 4, v, r in descending order.\nAnswer: v, r, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 4028540297.\nAnswer: 60397, 66701","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is 515 bigger than 518?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (n**1\/(n\/(n\/((n*n**6)\/n))))\/(n*n**(-6)*n*n*n*n\/(n\/(n*n**5*n))) assuming n is positive.\nAnswer: n**(-10)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:48 PM and 2:15 PM?\nAnswer: 27","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 85 and 2788?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is -5251023 + -245?\nAnswer: -5251301","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 152 - 150.73. Let d = x - -3.49. What is d rounded to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 22346688 is divided by 8736?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Factor -913*f**3 - 17837 - 7163 - 14010*f**2 + 398*f**3 - 5*f**4 - 8917*f - 29583*f.\nAnswer: -5*(f + 1)*(f + 2)*(f + 50)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: ((-6930)\/(-84))\/5*(-3)\/9*2\nAnswer: -11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -9 - -9. Let n(v) = v + 22. Let f be n(w). Let d = f + -14. Solve -2 = 3*z + 3*m - 2*m, 4*m = -d for z.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(w) be the second derivative of -9\/2*w**2 - 31*w - 1\/12*w**4 + 4\/3*w**3 + 0. Calculate q(6).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {y: 4, l: 3, q: 4, n: 3, i: 6}. What is prob of sequence ly?\nAnswer: 3\/95","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*c = z - 29, -65*c + 60*c - z = 27. Put 6, -3, -5, -4, c in ascending order.\nAnswer: c, -5, -4, -3, 6","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 77.977935 to one dp.\nAnswer: 78","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let y(z) = -z**2 + 38*z + 398. What is y(46)?\nAnswer: 30","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let y(q) be the second derivative of -q**7\/210 - q**6\/50 - q**5\/50 - 8*q. Factor y(x).\nAnswer: -x**3*(x + 1)*(x + 2)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence uu when two letters picked without replacement from {k: 1, l: 3, g: 13, u: 2}.\nAnswer: 1\/171","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let b(l) = l**2 + 14*l - 4. Let u be b(-14). Find the common denominator of -1 + (-2)\/((-24)\/142) and u\/40 - -6 - 0\/(-1).\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(y) = 173536*y - 14577011. Determine g(84).\nAnswer: 13","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Round -1.60592174 to three decimal places.\nAnswer: -1.606","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let z(a) = 4*a. Let i be z(-1). Let h = 112 + -107. Let d be 5 - (h + 6\/3). Sort i, d, 5, -5 in ascending order.\nAnswer: -5, i, d, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(q) be the third derivative of q**4\/24 + 5*q**3\/3 - 2*q**2. Let w be i(10). Is 11 a factor of (-153)\/(-5) - 12\/w?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0*i + 0*i - i**2)*((0 + 3 - 2)*(7 - 5 + 6) + (-2 + 4 + 0)*(2 + 3 - 4) + 4 - 4 + 1).\nAnswer: -11*i**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of -332, -1033, -2170, -3743, -5752, -8197?\n\"Answer: -218*v**2 - 47*v - 67","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let y(l) be the second derivative of -l**3\/6 - 4*l**2 + 14*l. Suppose -4*m = -4*p - 52, -3*p + 2 = -5*m + 49. Let h be y(p). Which is greater: -2\/21 or h?\nAnswer: h","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 56.091 - 0.091. Let u = 55.9661 - p. Round u to two dps.\nAnswer: -0.03","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let -2*l**2\/11 + 48*l\/11 - 238\/11 = 0. Calculate l.\nAnswer: 7, 17","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let a(o) = 4*o**2 - 3*o. Let y(s) = -22*s. Give y(a(k)).\nAnswer: -88*k**2 + 66*k","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 6834 and 193766?\nAnswer: 34","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let i be 5 - (-2 + 4) - -2. Suppose 0 = -5*b + 5*h + 820, i*b + 4*h = h + 780. List the prime factors of b.\nAnswer: 3, 53","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 99\/10 and -69\/8624980?\nAnswer: 8624980","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:27 PM and 6:43 PM?\nAnswer: 376","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 10 + -18 + 3 + -6 - 2.\nAnswer: -13","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-30 - -25 - -21) + -36?\nAnswer: -20","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 5*l*y**4 + 918*l*y**3 - 8*l*y**2 + 11*l + 1842*y**4 + 31445*y**2 wrt y.\nAnswer: 120*l*y + 5508*l + 44208*y","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 62, 130, 200, 272?\nAnswer: 346","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 10*g - 13*g + 1020. Suppose 5*i + 3*z = g, 330 = 4*i - z + 58. What is the tens digit of i?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(c) be the first derivative of -10*c**2 + 4*c + 3. Let o be q(8). Let l = -100 - o. What is the highest common divisor of 14 and l?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 15880.2 microseconds to milliseconds.\nAnswer: 15.8802","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Expand (9 + 59 + 53)*((0 + 1 - 3)*(2*c - 1 + 1) - 17 + c + 17).\nAnswer: -363*c","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 2435, 4918, 7447, 10022, 12643, 15310, 18023?\nAnswer: 20782","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 1? (a) -0.6774 (b) 1 (c) 5\/4 (d) -0.21\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve -20*g = -5*p - 530, -82 = -6521*p + 6523*p - 3*g for p.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Express -b**4 + 18*b**2 + 2 - 15*b**2 + 2*b + 0*b + 2*b**3 as c*b**2 + v*b**4 + p*b**3 + n*b + x and give v.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Divide 5164 by 2582.\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let -15*z**5 - 8740*z**4 - 990735*z**3 - 2600310*z**2 - 2263300*z - 645000 = 0. What is z?\nAnswer: -430, -150, -1, -2\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve -24 = -30*b + 36*b for b.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Express 5 - 989*b - 3 - 3872*b - 2 as h + r*b and give r.\nAnswer: -4861","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Express 254*d**4 - 139*d**4 + 8*d + 2*d**2 + 2 - 1 - 153*d**4 as k*d**4 + a*d**3 + n + w*d**2 + q*d and give n.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -44\/32675 and 43\/365960?\nAnswer: 1829800","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Product of -0.7 and 46.\nAnswer: -32.2","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 12615 is divided by 2066?\nAnswer: 219","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let i(p) = p**2. Let a be (-3)\/(0 - 1 - (-34)\/40). Let y(c) = 0 - c + 21 + a - 5. What is i(y(g))?\nAnswer: g**2 - 72*g + 1296","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -60.73 - -59. Let x = -0.27 + o. Suppose -2*i = 0, -2*r - 3 = r - 2*i. What is the nearest to x in -4, r, 1\/2?\nAnswer: r","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of 107, 110, 113, 116?\n\"Answer: 3*m + 104","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 4*0.29859.\nAnswer: 1.19436","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -467526*0.1.\nAnswer: -46752.6","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 6 and (5 + 21\/(-6))\/(9\/24).\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(k) = -17*k**2 + 22 + 25*k**2 - 51*k - 45 + 34 + 51*k. Let n(v) be the first derivative of v**2 + 4. Give n(u(j)).\nAnswer: 16*j**2 + 22","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -125 + 127.06. Let b = m + -0.06. Let f = 0.01 - 0.51. Put -2, b, f in ascending order.\nAnswer: -2, f, b","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (n**(-1\/5)*n*n*n**(1\/7)\/n)\/(n**(1\/5)\/n*n\/(n*n*n*n**(2\/3))) assuming n is positive.\nAnswer: n**(463\/105)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 789041?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 40986 and 4301.\nAnswer: 253","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -130885, -131398, -131915, -132436, -132961?\nAnswer: -133490","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let v(t) = t**3 + 40*t**2 + 37*t - 68. Let q be v(-39). Let k(d) = d**3 - 10*d**2 + 7*d - 12. Calculate the remainder when 462 is divided by k(q).\nAnswer: 56","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth smallest value in 14\/3, 0.115, -2\/5, -4, -9.86?\nAnswer: 14\/3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is 45687977 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 1987 + -9934\/5. Determine l so that -q*l**3 + 2\/5 - 3\/5*l**2 + 1\/5*l + 1\/5*l**4 = 0.\nAnswer: -1, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (j*j\/j**(-2\/3)*j**(1\/14)*(j*j**(-11)*j*j)\/(j*j**(-2\/13)))**(-30) assuming j is positive.\nAnswer: j**(16675\/91)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Express -5*t**4 - 20*t**3 + 20*t**3 + (-1 + 1 - 2*t)*(0*t**3 + 3*t**3 - t**3) - t**4 - 3*t + 3*t as h*t + q*t**4 + o + g*t**3 + x*t**2 and give q.\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the ninth root of 45572 to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((130\/45)\/(-13))\/(14\/(-105))?\nAnswer: 5\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let a(x) = 77*x**3 + x**2 + 2*x + 7. Is a(3) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(j) = -j**3 - j**2 + j + 2. Suppose -3*t = 95 + 148. Let v = -32 - t. Calculate the remainder when v is divided by l(-3).\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -10*t + 3*t - 29 + 15 = 0 for t.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of 553, 1783, 3695, 6289, 9565, 13523, 18163?\n\"Answer: 341*f**2 + 207*f + 5","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is -2.00261 rounded to the nearest integer?\nAnswer: -2","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of (((-80136)\/(-48))\/(-21))\/(100\/4 - -2) and 0 - ((-357)\/90)\/(-1).\nAnswer: 90","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(y) = y**2 + 7*y - 3. Let h be x(-8). Let q be (-2)\/h*(-11565)\/(-336). Let n = q - -149\/8. Calculate the common denominator of n and -39\/8.\nAnswer: 56","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 42\/(-45) - (0 - ((-5)\/(-5) + 0)).\nAnswer: 1\/15","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {y: 2, n: 2, w: 1}. Give prob of picking 1 n and 1 y.\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) 73 (b) -0.305 (c) 285\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from xppxpxxpxpxp. Give prob of sequence pxx.\nAnswer: 3\/22","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let u(q) = 2*q**3 + 6*q**2 + 1. Calculate u(-4).\nAnswer: -31","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-6*(-2*sqrt(100) + sqrt(100)))\/(sqrt(40)*2))\/(-4*(sqrt(5) - sqrt(15)\/sqrt(3)) + sqrt(180)*2 + sqrt(180)).\nAnswer: sqrt(2)\/12","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose q - 10 = t, -2 = t + 3. Let s be (((-30)\/(-9))\/q)\/((-4)\/(-18)). Suppose -s*m + 52 = -47. List the prime factors of m.\nAnswer: 3, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -3*h - h - 0*h for h.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of 74536, 73258, 71980?\n\"Answer: -1278*v + 75814","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 594359 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let q(r) = r**3 + 10*r**2 + 23*r - 7. Let p be q(-6). Sort 2, -5, p, 33.\nAnswer: -5, p, 2, 33","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -247*x**3 - 2294*x*z - 3331715*z with respect to x.\nAnswer: -741*x**2 - 2294*z","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let q**5 - 112*q**4 + 750*q**3 - 1588*q**2 + 1369*q - 420 = 0. Calculate q.\nAnswer: 1, 4, 105","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 e, 1 n, and 1 x when three letters picked without replacement from {n: 9, e: 5, x: 2}?\nAnswer: 9\/56","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve -10*t = -7 - 53 for t.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 745546590?\nAnswer: 2, 3, 5, 31, 353, 757","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Convert 25 (base 11) to base 5.\nAnswer: 102","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((((v\/v**(2\/3))\/v)\/v*v)\/v*v**(-29))\/((v\/v**(-25\/3))\/v**(-2\/19)))**(-2\/61) assuming v is positive.\nAnswer: v**(1524\/1159)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let h(m) = 439 + 0*m + 443 - 3*m - 873. Let k(o) = -17*o + 47. Let n(t) = -11*h(t) + 2*k(t). Let q(w) = w + 4. Give -3*n(r) - 4*q(r).\nAnswer: -r - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*n + 9*n - 18 = 0. Let u(l) = l. Let k be u(1). Put n, -5, k in descending order.\nAnswer: n, k, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -0.1? (a) 26\/12561 (b) 4 (c) 0.03\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:37 AM and 8:46 AM?\nAnswer: 69","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in -60, 2560, 0.4, -0.5, 9?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of v**5*y - 10*v**5 - 4*v**3*y**2 + 8*v**2*y**2 - 8*y**2 wrt v?\nAnswer: 60*v**2*y - 600*v**2 - 24*y**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-2*sqrt(156)*-4*3*1)\/((sqrt(132) - (sqrt(132) - (sqrt(132) - -3*sqrt(132)) - sqrt(132))*-4)\/(6*sqrt(44)\/sqrt(4))).\nAnswer: -48*sqrt(13)\/5","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is 5 a factor of 2715?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.03889108 less than -0.28?\nAnswer: -0.31889108","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((((k*k**(-1))\/(k*k**(4\/9)\/k))\/(k*k**5*k*k**(-4\/3)\/k))**(-36))**40 assuming k is positive.\nAnswer: k**7360","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Put 10, -5, -1, -4, -28 in decreasing order.\nAnswer: 10, -1, -4, -5, -28","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 516 and 6?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let k(f) = 280*f**2 + 42*f. Let o(p) = 33*p**2 + 5*p. Let h be 2\/(-4)*1*150\/15. What is h*k(m) + 42*o(m)?\nAnswer: -14*m**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.0005637377 rounded to 6 decimal places?\nAnswer: 0.000564","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*p = -3*w - 0 + 23, -5*p + 11 = w. Solve -5*t - 19 - w = 0 for t.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Product of 65 and -4.7.\nAnswer: -305.5","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 84*h**2 - 72*h**2 + 0 + 0.\nAnswer: 12*h**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ttjj when four letters picked without replacement from ttjtttjttjt?\nAnswer: 7\/165","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((j*j**1)**(1\/26))**32 assuming j is positive.\nAnswer: j**(32\/13)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve -80 = v + 4*z - 100, -4*v - 2*z + 122 = 0 for v.\nAnswer: 32","meta":{"dup_signals":{},"source":"algebra__linear_2d_test"},"subset":"dm_maths"} +{"text":"Question: Solve 554*k - 38*k = -125*k + 8333 for k.\nAnswer: 13","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let p(h) = h**3 - 14*h**2 + 38*h - 174. Determine p(12).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let i(s) = 4*s**2 - s**3 - 3*s**2 - 5*s**3. Suppose 2 = -0*v + 2*v. Let d be i(v). Let u(z) = z**2 + 5*z + 4. What is u(d)?\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (-4)\/10 + 82\/5. Suppose 0 = -0*x - 4*x - 16, -5*k - d = 4*x. Let n be 4\/((-16)\/12) - (-6 - 0). Solve 0 = n*h, k = -f + 4*h + 2 - 0 for f.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (2 - 2) + 1 + 23. Suppose -2*r + 5*x - q = 0, -7*r + 2*r + 2 = 3*x. What is the remainder when 11*(2\/(-2) - r) is divided by 6?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is 10245 - -562542?\nAnswer: 603120","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 1829 - 860. List the prime factors of g.\nAnswer: 3, 17, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 204*c**2 - 204*c**2 - 14*c**3.\nAnswer: -14*c**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -2417 + 3039. Is 39 a factor of q?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-61 + 51 - 15) + -31.\nAnswer: -56","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let t(d) = -d**3 + 7*d**2 + 2*d - 12. Let q be t(7). Is q bigger than 3?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(91)\/sqrt(7) + sqrt(13) + 5 + (sqrt(468) + sqrt(13))*3)**2.\nAnswer: 230*sqrt(13) + 6902","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 111.401 rounded to one dp?\nAnswer: 111.4","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Round 66600 to the nearest 1000.\nAnswer: 67000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let z be ((-1)\/2)\/(2\/(-12)). Let k be z + 2\/6*(-10 + 1). Solve k = 4*j, -2*d = -2*j + 5*j + 2 for d.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0.1? (a) -0.8 (b) -5 (c) 4 (d) -0.5\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 12942244 and 5084453?\nAnswer: 142364684","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let n(v) = -v - 4. Let g be n(-6). Suppose 0 = -g*i + 8 + 54. Is i a multiple of 6?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (s*s**(2\/5)*s)**(-31)\/(s*s**5*s**(1\/4))*((s*s*s**(2\/13)*s)\/(s\/(s\/(s**(1\/3)\/s))))\/(s**0)**(-4) assuming s is positive.\nAnswer: s**(-59927\/780)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 384 = -31*l + 35*l. Let a = 98 - l. Solve -4*c - 2 = a for c.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 65\/64 and 139\/76452.\nAnswer: 1223232","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Does 23 divide 14828576?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence oo when two letters picked without replacement from udoookkuooucdko.\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -177, -336, -495?\nAnswer: -654","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve -79*p = 8*p - 1767 - 932 + 437 for p.\nAnswer: 26","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is -85.4951464 rounded to the nearest integer?\nAnswer: -85","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Subtract -102 from -574841.\nAnswer: -574739","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -46\/191 + -23705\/2292. Let l = 6 - 2. What is the common denominator of l\/10 + 22\/120 and m?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(c) = -1035*c**2 - 2997*c - 15. Give v(-2).\nAnswer: 1839","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:18 PM and 9:24 PM?\nAnswer: 6","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 550564717?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((i**(-1\/4)*i*i*i\/i**(5\/6))\/((i*i**(-3\/10))\/i*i*i**(-2\/5)))**38 assuming i is positive.\nAnswer: i**(1843\/30)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Express ((13 + 20 - 24)*(-3 + 5 - 4) + (7 - 4 - 2)*(1 - 3 + 3) - 4 + 4 - 5)*(3 - 3 + 3*k)*(1 - 5 + 8) as v + z*k and give z.\nAnswer: -264","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 5483.6 and 66.07.\nAnswer: 362301.452","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let o(f) = 9*f**3 - 3*f**2 + f + 2. Let q(a) = -28*a + 169. Let h be q(6). What is the remainder when 33 is divided by o(h)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*u = -4*z + 30, 5*u = -6*z + 3*z + 25. Suppose 2524 = -u*i + 6*i - 4*f, -4*i + 2524 = -2*f. Is i a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(i) = -551*i**2 + 1. Let l(x) = -x**2. Give b(l(r)).\nAnswer: -551*r**4 + 1","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let h(t) = 42*t**2 - 674*t + 30. Determine h(16).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (0 + (sqrt(2) - (-3 + sqrt(8)\/sqrt(4)) - 1*sqrt(4)\/sqrt(2)) + (sqrt(8)*6 - (sqrt(8)\/sqrt(4) + -4)))**2.\nAnswer: 140*sqrt(2) + 249","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let c(w) = -w**3 + 7*w**2 - 4*w - 2. Calculate c(7).\nAnswer: -30","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is 53 + 73?\nAnswer: 106","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -769*r**3 - 4*r**2 - 50*r wrt r?\nAnswer: -4614","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1\/2*u**3 + 843*u**2 + 88752164 - 473766*u = 0 for u.\nAnswer: 562","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 68946862.\nAnswer: 2, 29, 179, 229","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 25 = -5*k + p, k - 7*p + 2*p = 19. Let g be (1 + -11)*k\/15. Let x be (1\/g*2)\/1*10. Solve 4*l + d = 4, x*l + d + 3 = 7 for l.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 3*p + 5*f + 61, -2*f = -2677*p + 2674*p + 37 for p.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Put -2, 0.4, -5\/21, -16, 1, 4 in decreasing order.\nAnswer: 4, 1, 0.4, -5\/21, -2, -16","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((x**3\/x)\/(x*x**(-2\/11)))\/(x**(-4\/3)\/(x**(4\/9)\/x)))**(-1\/16) assuming x is positive.\nAnswer: x**(-97\/792)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 0.2 + -1.3. Let j = 6.9 - o. Let l = j - 8.0000043. Round l to six decimal places.\nAnswer: -0.000004","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 36462 + -31440. List the prime factors of m.\nAnswer: 2, 3, 31","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*x - 60 = 2*x. What is the tens digit of ((-123)\/x)\/(1\/5)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(w) = 2*w**3 + 4*w**2 + w - 4. Let a = 961 - 963. Determine i(a).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*c = 47 + 18. Let d = 94 + -81. What is the highest common divisor of d and c?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(9)\/((sqrt(3) - (sqrt(3) + sqrt(48)))*3) + 3 - ((sqrt(192)\/sqrt(8))\/sqrt(8) + sqrt(132)\/sqrt(11)))*6)**2.\nAnswer: -666*sqrt(3) + 5403\/4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from lllkllekll. What is prob of picking 1 k and 1 e?\nAnswer: 2\/45","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 1479869 to the nearest integer?\nAnswer: 114","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3 + 0 = -3*z. Let n = z + 5. Solve -3*p = -q + n*q + 12, 0 = -2*q + 4*p + 22 for q.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 22621 + -22625. Let d = -1 + 0.9. Which is the biggest value? (a) d (b) k (c) 20\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 1197*l**2 + 607*l.\nAnswer: 2394","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -3\/2 in -0.1, -15, 900, -0.2?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let s(o) = -o**2 - 81*o + 173567. What is s(-458)?\nAnswer: 901","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3 - 3 + 2)*(4*j - j - 5*j) - 3*j + j + 3*j + 7*j - 5*j - 35*j.\nAnswer: -36*j","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0 in -1.7, 0.05, 4?\nAnswer: 0.05","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of -57, -239, -563, -1041, -1685?\n\"Answer: -2*r**3 - 59*r**2 + 9*r - 5","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -1 + 3. Let w = 1539\/3068 - 5\/3068. Factor -1\/4*u**z - w*u - 1\/4.\nAnswer: -(u + 1)**2\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(b) = b + 5. Let k be p(-6). Let h be 174\/4 + k\/(-2). Suppose 4*m = -2*o + h, m + 5*o - 15 - 5 = 0. What are the prime factors of m?\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 71\/5 of a hour in seconds?\nAnswer: 51120","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Express 22*f + 18*f - f**2 - 45*f + (3 - 3 - 2)*(-f**2 + 3*f**2 + f**2) as q*f**2 + k*f + h and give k.\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((l**(-2)*l*l)\/l)**30*((l*l**(1\/31)\/l*l*l)\/l)\/l**6 assuming l is positive.\nAnswer: l**(-1084\/31)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*o = 2*u + 2, -2*o - u + 10 = 2*o. Suppose -2*x = 2, o*x + 95 = 5*i + 7*x. Suppose i = -4*h - 52. Round h to 0 dps.\nAnswer: -18","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -762043, -762048, -762053?\nAnswer: -762058","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 10942 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 18, 35, 52, 69, 86, 103?\nAnswer: 120","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 0.139 + -1.139. Let g be ((-3)\/(-2))\/((-2)\/(-4)). What is the biggest value in -5\/2, g, y?\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 175 + 13. What is the units digit of a?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 360 and 117?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Round -205.73045 to the nearest 10.\nAnswer: -210","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.00021567 to six dps.\nAnswer: -0.000216","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -0.2? (a) -1\/6 (b) -2 (c) 508.4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Expand (5*n**2 - 3*n**2 - 4*n**2)*(8*n + 15*n - 8*n).\nAnswer: -30*n**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Convert 256 (base 7) to base 6.\nAnswer: 351","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is -516 + 523?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*t + 5*j - 156, -8*t - j - 234 = -5*t. Let g be (13\/(t\/8))\/(2\/(-6)). Solve g*n - 12 = 0, 5*u - 4*u = -5*n + 17 for u.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_test"},"subset":"dm_maths"} +{"text":"Question: Let v(g) = -g**2 - 97*g + 151. Is v(-45) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -25 - (-4 - (4 + 16)).\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 342 + -337. Let o = -2 - -2.2. What is the nearest to o in -1, 1\/2, q?\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 364730 to the power of 1\/2, to the nearest integer?\nAnswer: 604","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 139049 is divided by 137?\nAnswer: 131","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (-88)\/10 - (-4)\/(-20). Let w = q + 13. Let n(d) = -7*d**2 + 4*d - w*d. Let b(a) = a**2. Calculate n(b(p)).\nAnswer: -7*p**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*y = z + 11, -2*y - z + 4*z = -3 for y.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 m and 2 j when four letters picked without replacement from {m: 6, j: 6, b: 7}?\nAnswer: 75\/1292","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 67703 - 67703 + 256265*n**2.\nAnswer: 256265*n**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve 154*c + 796 = 33*c - 4*c - 2704 for c.\nAnswer: -28","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let t(c) = c**3 + c**2. Let k = -64 - -62. Let z be t(k). Sort z, 3, -2, 5.\nAnswer: z, -2, 3, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(f) = -2557*f - 7. Let t(i) = -10227*i - 30. Give 13*j(y) - 3*t(y).\nAnswer: -2560*y - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 168 and 1113.\nAnswer: 8904","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 210 divided by 42?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth smallest value in 0.2, -4, 0.3, -0.7, -1, 0.07, -0.3?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -95\/724896 and -71\/3708.\nAnswer: 74664288","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-5 + 5 + 3)*(8*l - 8*l - 2 - 2*l).\nAnswer: -6*l - 6","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let h(u) be the first derivative of 5*u**3\/3 - 140*u**2 + 275*u + 767. Determine g so that h(g) = 0.\nAnswer: 1, 55","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -7633 + 30535\/4. Let f = -12 - 188. Let k be -3*(f\/102 + 2). What is the biggest value in k, r, 17?\nAnswer: 17","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find g such that -5*g**5 - 2084035*g**4 + 14588415*g**3 - 31260985*g**2 + 27092890*g - 8336280 = 0.\nAnswer: -416814, 1, 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let o(q) = 62*q - 2. What is o(1)?\nAnswer: 60","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let o(y) = -2*y**3 - 9*y**2 + 14*y - 6. Let c be o(5). Let r = 415 + c. Solve -3*v + 5*m - 4 = 0, 5 = r*v + 3*m + 20 for v.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -41\/888 and -46\/777.\nAnswer: 6216","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 1407 and 1206.\nAnswer: 8442","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0*81541.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: 8\/((-96)\/18)*2\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*y - 43*y + 1880. Let t(p) = p**3 - 45*p**2 + 25*p - 80. Is t(y) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 4 - 6 + 3 - 8*p as f + o*p and give f.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -25\/254601 and 67\/81?\nAnswer: 2291409","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: 2 - (31 + -23 + 9)\nAnswer: -15","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let n(l) = -20*l**2 + 10*l**2 - 6*l**2 - l**2. Let c(p) = -2*p**2. Calculate n(c(z)).\nAnswer: -68*z**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 2? (a) 5 (b) 0.15 (c) -2\/13 (d) -5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -2114 + 882. Let w(g) = g**3 - 3*g**2 - 12*g + 26. Let r be w(2). Is (6\/r)\/(-3 - 3672\/h) a multiple of 11?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 149.0203 years to decades.\nAnswer: 14.90203","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1253926?\nAnswer: 2, 626963","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*a - 16401 = -4*f + 2481, 3*a = -6. Solve -f = r - 4711 for r.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 9964 and 8414598.\nAnswer: 16829196","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -2.692 - 21.308. Sort 0.1, -2\/15, 4, u in ascending order.\nAnswer: u, -2\/15, 0.1, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth smallest value? (a) 695 (b) 0.1 (c) 391 (d) -3 (e) -0.06\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is 37496 - 0?\nAnswer: 37496","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Express (-1 - 1 + 3)*(-2*f**3 - f**3 + 5*f**3)*(-3*f + f - 9*f) as o + r*f**3 + z*f**2 + y*f**4 + j*f and give y.\nAnswer: -22","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let h(g) = g + g - g + 0. Let b(u) = -u + 4. Let w(a) = 1. Let q(c) = -b(c) + 4*w(c). Determine h(q(r)).\nAnswer: r","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 13.43 and 117690?\nAnswer: 1580576.7","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is 425 a factor of 1912500?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 21 and 2373.\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -10 + 20. Let t be 43\/5 + 4\/c. Let r(i) = -12*i - 115. Let s be r(-10). Solve -s*p + t = 34 for p.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: -2 (base 7) to base 6\nAnswer: -2","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*v - 4 = 2*c, 3*v = -3*c - v + 22. Let w be (-1 - -6 - -3)*c. Is 34\/6 - w\/(-12) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(z) = 4077*z**3 - 6*z**2 - 10. Let i(m) = 24462*m**3 - 34*m**2 - 57. What is -6*i(b) + 34*j(b)?\nAnswer: -8154*b**3 + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (10 - -1) + -4 + -2.\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -a - 4*c + 21 = 0, a - 3*c - 2 = 5. Let d(s) = s**3 + 7*s**2 - 8*s + 2. Let t be d(-8). Solve -a = -5*r + t for r.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 1598, 6385, 14366, 25547, 39934, 57533, 78350, 102391?\nAnswer: 129662","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(288) + -3.\nAnswer: -3 + 12*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let i(y) = y**3 - 4*y**2 - 2*y + 6. Let p be i(5). Let t = 17 - p. Let o = -277 + 1111\/4. Which is the third biggest value? (a) o (b) t (c) -14\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is -3133312 + 12000?\nAnswer: -3121312","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 308358323?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (x**16*x**5)\/(x\/((x**(-15)*x)\/x)*x**(2\/11)) assuming x is positive.\nAnswer: x**(53\/11)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is 69191 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is 393826793 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let v(f) = -f**3 + 29*f**2 - 98*f - 44. Let k be v(25). Solve 12*g = 6*g + k for g.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*n + 5*a - 2 - 7 = 0, 0 = -4*n - 3*a - 1 for n.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 46 - 45.97. Let t = 0.17 + z. Which is the closest to 0.1? (a) 1 (b) -3 (c) t\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify g\/(g\/g**(-4\/7))*g\/((g*(g*g**(-9)*g)\/g*g)\/g)*(g**(-9)*g)\/g*g**(-2) assuming g is positive.\nAnswer: g**(-25\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 6 + -3. Suppose w = -2*a + 2, i*a + w = -3*w + 8. Let q be (4 + 2)*(2 - a). What is the highest common factor of 6 and q?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 2110 is divided by 141.\nAnswer: 136","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let f(g) = 157*g**2 - 20*g - 11. Calculate the lowest common multiple of 11 and f(2).\nAnswer: 6347","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -173 + 173. Let k = 361 + -3245\/9. Which is the smallest value? (a) 2\/13 (b) k (c) 0.3 (d) i\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -0.1 - 0.9. Let a = n + 1.1. Let x = 470 + -466. Which is greater: x or a?\nAnswer: x","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 15943043 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2277 = -4*y - 2*l - 581, 5*l = 5*y - 2150. What is the hundreds digit of y?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(u) = 55*u - 5. Let t(y) = 4*y + 3*y + 11*y - 20*y. Determine i(t(h)).\nAnswer: -110*h - 5","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve 19*s + 21 = 12*s for s.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 0 or 2\/32786829?\nAnswer: 2\/32786829","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Convert -333807 (base 14) to base 12.\nAnswer: -6ba113","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -782 + 786. Calculate the remainder when 202 is divided by g.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -3\/1265 + 463\/88550. Let b(t) be the third derivative of -1\/75*t**5 + 0 + c*t**7 - 1\/300*t**6 + 1\/30*t**3 + 1\/60*t**4 + 0*t - 7*t**2. Factor b(y).\nAnswer: (y - 1)**2*(y + 1)*(3*y + 1)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -15 + 24. Suppose -4*c + 6*c - 14 = 0. Solve -4*r + c*r = l for r.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(o) = o**2 - 5*o - 21. Let h be g(8). Find the second derivative of -51*m**3 - 2*m + 36*m + 13*m**h wrt m.\nAnswer: -228*m","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -0.25? (a) -4 (b) 2\/35 (c) 1\/9 (d) -0.01 (e) -0.1\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1377257.\nAnswer: 7, 196751","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is 442 - 1037856?\nAnswer: -1037414","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from qllyyyyyyyyyyy. Give prob of sequence yqy.\nAnswer: 55\/1092","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Are 11755 and 23511\/2 non-equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Express (-2*z + z + 0*z + (-1 + 0 + 2)*(-z + 3*z - 4*z) - 4 + 4 - 2*z + (-10 - 8 - 2)*(-6*z + 3*z + z))*(7*z + 28 - 28) as y*z + p + s*z**2 and give s.\nAnswer: 245","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in 20, 0.1, -4, -159?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {i: 1, r: 3, w: 1, j: 2, m: 1, q: 4}. Give prob of sequence jmrj.\nAnswer: 1\/1980","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 17084 is divided by 267.\nAnswer: 263","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from ydjhu. What is prob of sequence uj?\nAnswer: 1\/20","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {m: 1, h: 2, z: 2}. What is prob of picking 1 m and 1 z?\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 3*18\/(-54)*1440\/1620.\nAnswer: -8\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 13265?\nAnswer: 5, 7, 379","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2, -28, 6, 0.07 in increasing order.\nAnswer: -28, 0.07, 2, 6","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (3 - 6) + 3 + 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((b*b**5*(b\/(b**(1\/3)*b))\/b*(b\/b**(-1\/3))**(34\/7))**(-24))**(1\/29) assuming b is positive.\nAnswer: b**(-1872\/203)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let c(g) = -102*g**3 - 12*g**2 - 283*g + 15. Let q be c(-25). What is q rounded to the nearest 10000?\nAnswer: 1590000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 478 + 281 = 23*v. Suppose v*r = 18*r + 45. Factor 0*c + 1\/5*c**2 + 1\/5*c**r + 0.\nAnswer: c**2*(c + 1)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (-13)\/((-91)\/21) - (-2 - 16). What is the greatest common divisor of 36 and p?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -6418 < -15?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let a(v) = 15*v**2 + v - 1. Suppose 2*g + 2 = 12, -5*g + 24 = -y. Is a(y) a multiple of 15?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-1*sqrt(171)*-4 + 5*(sqrt(171) - (sqrt(171) + -3) - sqrt(171)))**2.\nAnswer: -90*sqrt(19) + 396","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (8\/6)\/((-8)\/12). Let p be 425270\/48 + (s - -6). Let m = 8860 - p. Find the common denominator of 40\/3 and m.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -3.99 - 0.01. Which is the nearest to 2\/13? (a) -0.4 (b) i (c) 0\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(k) be the third derivative of 2*k**9\/63 + 17*k**7\/35 + 631*k**5\/10 + k**4\/8 - 3*k**2 - 1620*k. What is the third derivative of a(q) wrt q?\nAnswer: 1920*q**3 + 2448*q","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 15 divide 70593870?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*u + 156 - 136. Suppose -4*c - 193 + 1313 = 5*k, -896 = -4*k - u*c. List the prime factors of -1 + 2 + (k - 20).\nAnswer: 5, 41","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (7\/(-3))\/(4\/(-12)). Let s(y) = -7*y**3 + 6*y**2 + 7*y - 6. Let d(b) = b**3 - b + 1. Let p(u) = -6*d(u) - s(u). Does 6 divide p(v)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -335*s**2 - 6*s + 10.\nAnswer: -670","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is 103443312 - -4?\nAnswer: 103443321","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 669822816?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (g\/(g**(-13)\/g)*g**(-3))**(-3\/14) assuming g is positive.\nAnswer: g**(-18\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Sum 23218 and -0.02.\nAnswer: 23217.98","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:58 AM and 3:31 PM?\nAnswer: 453","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let s(w) = 2*w + 22. Let l be s(-10). Solve 10 = -3*v - l*t - 3, 3*t = -15 for v.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(z) = 25*z. Let c(l) = 2*l**2. Calculate c(o(p)).\nAnswer: 1250*p**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -0.1 in -15.2, 27, -1\/3, -67, -1, -2\/9?\nAnswer: -2\/9","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let n(h) = h**3 - h**2 + h. Let i(r) = 2*r**3 + r**2 + 3*r - 1. Let y(c) = -i(c) + n(c). Let v(w) be the first derivative of y(w). Let d = 1 - 3. Give v(d).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0.4? (a) 0.311 (b) -1\/5 (c) -0.4 (d) 2\/5 (e) 3\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (r\/r**26)**(-17)*r**29\/((((r*r**(-7))\/r)\/r)\/r) assuming r is positive.\nAnswer: r**463","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let h(c) be the first derivative of -2*c**3 - 1\/2*c**4 - 2*c + 4 - 3*c**2. Factor h(w).\nAnswer: -2*(w + 1)**3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (l**2 - 1048*l - 2 + 0*l**2 + 1053*l)*(-3*l + 2*l - l).\nAnswer: -2*l**3 - 10*l**2 + 4*l","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is 25ee + 5?\nAnswer: 25f3","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2 + 47 = 3*b - 3*j, 55 = 4*b - 5*j. Let v be 7\/(-2)*(17 + 1). Let t = -4 - v. Calculate the remainder when t is divided by b.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(b) = -3*b. Let s(l) = 877823*l + 1. Calculate h(s(u)).\nAnswer: -2633469*u - 3","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 2*i**2 + 0*i**4 + 1 + 0*i**4 + i**3 + 2*i**4 to j*i**4 + b*i + y*i**2 + z + a*i**3 and give j.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is 127 a factor of 26585545?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is -33624 + -461?\nAnswer: -34415","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 431, 456, 515, 620, 783, 1016?\nAnswer: 1331","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let z(q) = -2*q. Let o(l) be the first derivative of 112*l**2 - 7307. Give 2*o(i) + 252*z(i).\nAnswer: -56*i","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Convert 766371 (base 13) to base 2.\nAnswer: 1010100111101111000110","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 40*m - 375 = -35*m for m.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let m(o) = -25 - 561*o**3 - 57 + 0*o - 130 - 215 - 8*o. Let g(h) = 374*h**3 + 5*h + 284. Let u(i) = -8*g(i) - 5*m(i). Differentiate u(p) wrt p.\nAnswer: -561*p**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 2 a factor of 5655?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is 11157007 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 15550450 (base 7) in base 13?\nAnswer: 40a557","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 156*k - 76*k + 74*k**2 - 80*k + 30*k**2.\nAnswer: 104*k**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 17 + -5 + 4 + -9 - -13?\nAnswer: 20","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is -1617566 + 11?\nAnswer: -1617555","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -26 + 25.8. Let x = -0.8 - 0.2. Sort m, 4, x in ascending order.\nAnswer: x, m, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*p - 5*w + 3257 = 3296, 2*p - 2*w = 14 for p.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1001077.\nAnswer: 7, 11, 13001","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve 11*j + 167 = -10*b + 9*b, 3*b = -5*j - 0*b - 81 for j.\nAnswer: -15","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is -38 - (65 + -142 + 36)?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 219\/5 smaller than -2340\/7?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -175, -579, -1699, -3901, -7551?\nAnswer: -13015","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*h - 2448 = 5*n + 148485, -5*h + 9*n = -188669. What is the hundreds digit of h?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*p - 4*p + a + 359 = 0, -5*p = 2*a - 902. Let z be p\/50 + (-4)\/(-10). Solve 2*n - 5 - 8 = 3*d, 2*n - 6 = -z*d for d.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) -2.4 (b) 14 (c) 0.19 (d) -0.3 (e) 0.1 (f) -1\/3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (2 + j - 2)*(-j + 0*j + 3*j) + (2*j**2 - 3*j**2 + 2*j**2)*(-1 + 8 - 1) to the form i*j**2 + s*j + u and give i.\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: 37 (base 9) to base 8\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 107950026167 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (2*1\/(-12))\/((-4)\/8).\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let m(q) = q - 1. Let a(b) = b - 2. Let g(n) = -5*a(n) + 6*m(n). Let o be g(-4). Solve 0 = j - o*j for j.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-168)\/105 + 7)\/((-3)\/(90\/(-2))) - 9?\nAnswer: 72","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (36\/14)\/((-13)\/((-2184)\/36)).\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 305667184 to the nearest integer?\nAnswer: 674","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: -448d (base 16) to base 9\nAnswer: -26058","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 135087 divided by 134?\nAnswer: 135087\/134","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -18021487*l*w**4 + 16*l*w - 57*l - 4*w**4 + 4*w + 1529 wrt w?\nAnswer: -216257844*l*w**2 - 48*w**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -5 in 0, 0.5, -50, 10?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (1 + -46)*(-154)\/(-35). Round w to the nearest 100.\nAnswer: -200","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 41.68559 millennia in decades?\nAnswer: 4168.559","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 561, 558, 555, 552, 549, 546?\nAnswer: 543","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -109\/24 and -53\/3?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -1\/2 or 8\/131?\nAnswer: 8\/131","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is -33914\/33 less than 0.1?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*y + 3*m + 103 = 0, -3*m = -y - m + 27. Let k(d) = 50*d**3 - 2*d + 1. What is the remainder when k(1) is divided by y?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many kilometers are there in 528.981mm?\nAnswer: 0.000528981","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 6246?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 242 and 1089.\nAnswer: 2178","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: How many months are there in 5\/4 of a year?\nAnswer: 15","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let f be ((-15)\/(-30))\/(1\/4). Suppose 2*t - 2*n = 130, 0 = -4*t + f*n + 3*n + 264. Suppose z**4 - 62*z**3 + 0*z**4 + t*z**3 = 0. Calculate z.\nAnswer: 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2364 = -13*r + r. What are the prime factors of r?\nAnswer: 197","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {c: 4, k: 2, s: 6, d: 2, z: 1}. What is prob of picking 1 k and 1 d?\nAnswer: 4\/105","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.000001591 rounded to 7 dps?\nAnswer: 0.0000016","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 9241472?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 16\/(-2)*(49 - 44) + 10?\nAnswer: -30","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) 1\/13 (b) -152424 (c) -5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -21.888799 or 0.1?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3377*o = -3386*o - 18. Suppose -26 = -5*f - 3*s + 4*s, 0 = 2*f - s - 8. Put f, o, 5, -5 in descending order.\nAnswer: f, 5, o, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(g) = -5*g - 42. Let q be p(-11). Is 11 a factor of ((-22)\/(-4))\/((q\/(-12))\/(-13))?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1 = -2*f + f - 3*g, 29 = -5*f + 6*g + 3*g - 12*g for f.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 28395.\nAnswer: 3, 5, 631","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -1273\/699 or -2?\nAnswer: -1273\/699","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 770 and 15358?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose d - 3*d - 5*j + 25 = 0, j + 12 = 3*d. Suppose -o + 10 = -6*o, d*o = 3*n - 40. Let x = n + -14. Which is bigger: -2\/5 or x?\nAnswer: -2\/5","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*m**2\/5 - 8028*m\/5 + 1606.\nAnswer: -2*(m - 1)*(m + 4015)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 3\/37 + 167\/222. Let o = 16.4 - 16.36. Sort t, o, 2\/3 in decreasing order.\nAnswer: t, 2\/3, o","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: -12 times 13.824\nAnswer: -165.888","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is 4 a factor of 165530?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 48127001.\nAnswer: 13, 631, 5867","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 619581 is divided by 448.\nAnswer: 445","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -10*m**3 - 6*m**3 + 17*m**3.\nAnswer: m**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*q - 17 = 8. Suppose -2*b = q*k - 79, 4*b - 7*b = -6. Suppose -k = -5*f - 0. What is the units digit of f?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*v + 45 - 48 = -16 - 137 for v.\nAnswer: -50","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 20633 to the nearest integer?\nAnswer: 144","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((-9*f**2 + 5*f**2 - f**2)*(0*f - f + 0*f) - 2 + 2 - f**3)*(-20 + 18 - 29)*(5*f - 2*f - f).\nAnswer: -248*f**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 0 divided by 668706?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2 - 1 + 2)*(-j - 2*j + 2*j) + 3*j - j - 4*j.\nAnswer: -j","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: 5*-1*(-4)\/(-10)\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1101398209?\nAnswer: 1101398209","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 1026697?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is 18 a factor of 754\/21 - (1145\/105 + -11)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (-144 + 1926*x + 468 - 159 - 165)*(9 - 3 + 3) as d*x + y and give y.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let m(a) = -233*a**4 - 16*a**2 - 30*a - 2. Let x(v) = 4*v**2 - v + 1. Let n(z) = m(z) + 2*x(z). What is the third derivative of n(g) wrt g?\nAnswer: -5592*g","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 3 f and 1 l when four letters picked without replacement from {l: 11, f: 5}?\nAnswer: 11\/182","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let r be 0\/(-3)*4\/12. Let h = 42 + -40. Solve r = -h*q + q - 5*w + 10, -2*q = -2*w + 16 for q.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*m - 23 - 1 = -2*a, 3*m = -5*a + 46. Factor 5\/6*o**4 + 1\/6*o**5 + 0 + 1\/3*o + 7\/6*o**m + 3\/2*o**3.\nAnswer: o*(o + 1)**3*(o + 2)\/6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -84*u + 87*u = 18 for u.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -30*n + 6660 - 240 = 0. Suppose 3*o - 2*f = -13 + n, 2*o + 2*f = 124. Does 13 divide o?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: -13 (base 12) to base 14\nAnswer: -11","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let n(v) = -2*v**2 - 24*v + 50. Let m be n(2). Let l(u) = -u**2 - u - 7. Let w be l(0). Which is bigger: w or m?\nAnswer: m","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -60 + (33 - 8) + -5 - -24?\nAnswer: -16","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -374 + 571. What is the tens digit of q?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((-15 + 18 - 10)*(-3*v**2 - v**2 + v**2) + (-2*v + 2*v + v**2)*(6 - 4 - 1))*(2 + 0 + 2*v + v**2 + 3).\nAnswer: 22*v**4 + 44*v**3 + 110*v**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*n - 23 + 27 = -4*s, s + 12*n - 25 = 0 for s.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let u(t) be the first derivative of 2*t**6\/3 - 4*t**4 - 8*t**3\/3 + 6*t**2 + 8*t - 22. Factor u(w).\nAnswer: 4*(w - 2)*(w - 1)*(w + 1)**3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 10 and 41?\nAnswer: 410","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -17\/5565 and -82\/75?\nAnswer: 27825","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is -bb (base 13) in base 9?\nAnswer: -181","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -276\/707 or 0.2?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -1 + 2 - 3077*v**2 + 3024*v**2 to t*v**2 + p + f*v and give p.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -108825, -108821, -108817, -108813, -108809, -108805?\nAnswer: -108801","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let x be 3 - (-2 + (-6)\/(-3)). Suppose x*g - 17 = -5. What is the second derivative of 4*s - 3*s**3 + 4*s**3 + 4*s**g - s**3 wrt s?\nAnswer: 48*s**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 11\/((-220)\/(-45))*8\/3.\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 168*n - 171*n = 5*c + 225, 0*n - 6*c = 12*n + 228 for n.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let r be ((-72)\/45)\/(-8) + 0. Let g be 4\/(-14) + 15\/28. Does g = r?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 336*b + 703*b - 654*b to k + a*b and give a.\nAnswer: 385","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Factor 4*g**5 - 3712*g**4 + 470420*g**3 + 198674776*g**2.\nAnswer: 4*g**2*(g - 547)**2*(g + 166)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is 11192640 a multiple of 393?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 24112436?\nAnswer: 2, 6028109","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 310601?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 705.1499cm in kilometers?\nAnswer: 0.007051499","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 2 - -1. Suppose -w*y - 605 = 430. Let g = y + 504. Is g a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -45*u - 61 = 9*n - 7*n, -5*u + 0*n + 27 = -4*n for u.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let c(j) = -8399*j + 5. Let l(w) = -2778*w + 2. Determine -2*c(k) + 7*l(k).\nAnswer: -2648*k + 4","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 14574?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-24 - 103 + 15)*(0*t + 2*t - 3*t)*(-3*t**3 - 3*t**3 + 4*t**3)*(-4*t + 5*t + 6*t).\nAnswer: -1568*t**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 746984?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 13 = -4*a - 5*v, -a - a + 16 = -2*v. Solve a*h + h + 20 = 0 for h.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(r) = 8*r + 9. Let z(y) = -4 + 2 + y + 0 - 3*y. Let i(a) = 2*c(a) + 9*z(a). Let p(n) = -6*n. Give i(p(g)).\nAnswer: 12*g","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let m(g) be the second derivative of 39*g - 2\/3*g**6 + 0 + 0*g**2 + 0*g**3 + 10\/3*g**4 + 0*g**5. What is the third derivative of m(b) wrt b?\nAnswer: -480*b","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (2\/20)\/(36\/(-180))?\nAnswer: -1\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 8689 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Divide -6513 by 3.\nAnswer: -2171","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 15727190.\nAnswer: 2, 5, 41, 89, 431","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 27*m + 312 - 154 - 158.\nAnswer: 27*m","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is 21048983 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -2 - -8. Let a(p) = p**3 - 6*p**2 + 5*p - 6. Let z(o) = 2*o**3 - 11*o**2 + 9*o - 11. What is y*z(t) - 11*a(t)?\nAnswer: t**3 - t","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (s**(6\/7)*s*s*s\/(s\/(s**27*s*s)))\/((s*(s\/s**4)\/s)\/(s**(-24)\/s)) assuming s is positive.\nAnswer: s**(69\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 2036582 to the nearest integer?\nAnswer: 1427","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*a - 4 = -2*a + 4*g, -5*a + 5 = -g for a.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is (20\/(-30))\/((-70)\/(-21))?\nAnswer: -1\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*x + 3 = 13. Suppose -4*l = -x*l. Suppose 0 = 3*w + 2*w. Solve w*h - 3*h = l for h.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(w) = 3*w + 11. Let v be c(-2). Let o(i) = 4*i - v*i + 2*i. Let u(q) = 66*q**2. Give o(u(g)).\nAnswer: 66*g**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.01420499 rounded to four decimal places?\nAnswer: 0.0142","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: -1010010001001 (base 2) to base 15\nAnswer: -1857","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0? (a) -9 (b) 0.1 (c) -2\/3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let l(a) = a**3 - 9*a**2 - 19*a + 10. What is l(-2)?\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let p(r) = r**3 + 5205*r**2 + 232201*r + 47. Calculate p(-45).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: -1 divided by 228993\nAnswer: -1\/228993","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -1? (a) 1 (b) -1\/5 (c) 0.5 (d) 2\/11\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 8196 and 45.\nAnswer: 122940","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Convert -4 (base 15) to base 3.\nAnswer: -11","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let a(d) be the first derivative of 0*d + 1\/24*d**4 + 1 + 0*d**3 + d**2. Let b(n) be the second derivative of a(n). Let z(h) = -h. Determine z(b(f)).\nAnswer: -f","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*v - 2*v - k = -748, 3*v + 4*k = 561. Let z = v - 175. What is the remainder when 287 is divided by z?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -179 + 151. Let z = q - -28.42. What is z rounded to two dps?\nAnswer: 0.42","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1530 (base 12) in base 16?\nAnswer: 9b4","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 114223.8 grams in tonnes?\nAnswer: 0.1142238","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {z: 3, a: 5, v: 1, n: 1}. Give prob of sequence zzz.\nAnswer: 1\/120","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (-4)\/(-9 - (-420)\/48). What is the highest common divisor of d and 1592?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 375\/450*222\/(-40) and -87\/112?\nAnswer: 112","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -694.37 and -4?\nAnswer: 2777.48","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is 13362 a multiple of 4?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 304330 and 23410?\nAnswer: 304330","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let w(r) = 274*r + 28. Let y be w(3). Round y to the nearest one thousand.\nAnswer: 1000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify f\/(f**(-2\/11)\/f*f)*f*f\/(f\/(f**(-6)\/f))*(((f\/(((f*f**(-2\/15)\/f)\/f)\/f))\/f)\/f)\/f**30 assuming f is positive.\nAnswer: f**(-5558\/165)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 119803 + -77356. List the prime factors of w.\nAnswer: 3, 14149","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -290933384 to the nearest one million.\nAnswer: -291000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-177246)\/(-2107) + -84)*(-2 - 5).\nAnswer: -6\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (-7028164)\/(-1783650) + 1 + -5. Let a = k + 2\/1175. Let z = a + 7463\/1380. Find the common denominator of 91\/44 and z.\nAnswer: 220","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q be 1*15\/(-3) - -1. Let s be 17 + (q - -1) + 5. Suppose s + 5 = 2*d. Calculate the highest common divisor of d and 12.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 625 minutes after 4:46 AM?\nAnswer: 3:11 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 20482244 to the nearest integer?\nAnswer: 274","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*o + 28 = -4*o. Let w be (-5 - -1)\/(-2) + o. Suppose 3*z = -z + w. What is the units digit of z?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(i) = -4*i. Let n be t(9). Let h = 107\/3 + n. Put 4, h, 0.1 in decreasing order.\nAnswer: 4, 0.1, h","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence zzkw when four letters picked without replacement from kwqzrwz.\nAnswer: 1\/210","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let t be 4\/2*((-60)\/(-45))\/((-40)\/(-255)). Solve -t*n + 21*n = -4*a + 4, 3*n - 9 = -a for n.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -27.8 - 144277935141?\nAnswer: -144277935168.8","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {y: 5, l: 8}. What is prob of sequence lll?\nAnswer: 28\/143","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 10.7 + -11. What is r rounded to one dp?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 385523945?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((v\/(v*v**(2\/17)*v*v)*v**(-5))\/(v\/(v\/((v*v**(-4)*v)\/v)*v))**(1\/16))**18 assuming v is positive.\nAnswer: v**(-4203\/34)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -g + r = 2*r + 6, g + 12 = 2*r. Let d be g\/(-20) - (-36)\/10. Suppose 2*q + 2*l = l + 15, 51 = d*q - 5*l. Does 9 divide q?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of 148229, 296260, 444295, 592334?\n\"Answer: 2*i**2 + 148025*i + 202","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let k(d) = -d**2 + 5*d + 8. What is k(6)?\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Convert -12200123131 (base 4) to base 5.\nAnswer: -414040233","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-1245)\/(-9)*(-27)\/(-135))\/(37\/111).\nAnswer: 83","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*c + 2*y = -25 - 1, 3*y = -3*c - 3. Let j(x) = -x + 9. Give j(c).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1172 times 1.163?\nAnswer: 1363.036","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 95*x - 92*x + 5*h - 49, 3*x = -2*h + 25. Solve -5*g + 8*g = 3*t + 15, 3*g = -3*t + x for t.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 9*c + 4 = 2*g + 14*c, 5*g + 2*c = -11 for g.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is 2 - -639e3?\nAnswer: 639e5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 4 + -2. Suppose h - 48 = 3*c + c, n*h + 3*c = 107. Suppose -h = -b - 0*b. Calculate the greatest common factor of 13 and b.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -996*b*i*x**3 + 120*b*i - i*x**3 - 2*i*x**2 wrt x.\nAnswer: -5976*b*i - 6*i","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 14479 (base 13) in base 9?\nAnswer: 57261","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let q(n) be the first derivative of 39*n**7 + 427*n**3 - 365. Find the third derivative of q(s) wrt s.\nAnswer: 32760*s**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -1 or 94620842?\nAnswer: 94620842","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*y - 4*y - 18 = -3*t, y - 3*t = 18. Suppose y + 81 = 3*m. List the prime factors of 270\/m + 4\/(-22).\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -42 divided by -5193?\nAnswer: 14\/1731","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -595 - -1298. Is n prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -11*q + 9*q**2 - 4*q + 81*q**3 + 1 - 9*q**2 wrt q.\nAnswer: 486*q","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-3 + sqrt(637) - sqrt(637)) + -5 + sqrt(637) - (4 + sqrt(637) + 2 + sqrt(637)))**2.\nAnswer: 196*sqrt(13) + 833","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Does 24 divide 740?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let b be 1\/(3 - 11\/4). Suppose 3*t = 8*t. Suppose t*c - 3*c + 10 = -2*q, -2*q - 10 = 4*c. Solve v = k - 2, -b*v + 2 + c = k for k.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 0.2 and 846610?\nAnswer: 169322","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let v(k) = 4*k - 7. Let h = 17 + -22. Let a(j) = -2*j + 4. Determine h*a(b) - 3*v(b).\nAnswer: -2*b + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in -9, -39, -5, -2, -3\/2, -1\/79?\nAnswer: -9","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Express 18*g**2 + 27 - 27 as k*g**2 + w*g + q and give k.\nAnswer: 18","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6 = n - 4*n. Let w be 94\/(-26) + n + 1. Let l = w + 11\/39. Which is the second biggest value? (a) 8 (b) l (c) 1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -77 + 140. Suppose 3*c = -4*x + 51, 0 = 5*x + 4*c - a - 2. Let k be (x\/(-6))\/((-6)\/8). Solve -k*d + 10 = -2*r, -4*d = -r + d - 21 for r.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:12 AM and 4:59 PM?\nAnswer: 467","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Factor -s**3 + 721125*s**2 - 130016493123*s + 4029818315479.\nAnswer: -(s - 360547)**2*(s - 31)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 29 + -17. Solve -4 = -4*f + q for f.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -a = -2*u - 14, a = -4*u - a - 12 for u.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 1? (a) -0.6 (b) -47 (c) 0\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 3 - (2 + (7 - 6) - 2)?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 17*k - 23*k = -54 for k.\nAnswer: 9","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 445?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is (330\/2915)\/(33\/1166)?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_test"},"subset":"dm_maths"} +{"text":"Question: Solve -80*z + 2398 = -346*z - 4252 for z.\nAnswer: -25","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 1417940?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*w + 20 + 0 = 13*s - 8*s + 215, -s = -5*w - 219 for s.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is -1 - 65bc534?\nAnswer: -65bc535","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let j(t) = -8*t**3 + 3*t**2 - 2*t + 3. Let h = -3 - -5. Suppose h*m = 1 + 3. Let z be j(m). What is z rounded to the nearest 10?\nAnswer: -50","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 2874 at most as big as 2876?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 566*g + 2130*g**3 + 569*g - 1134*g + 26615*g**3.\nAnswer: 28745*g**3 + g","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is 17 a factor of 24525305?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose a - 5*w - 514 = 0, 2*a = 6*a + 2*w - 2034. Is 41 a factor of a?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-16*j - 4*j + 5*j)*(1 + 1 + 7)*(0 + 3 - 4).\nAnswer: 135*j","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*m + 0*m = 1680. Let z be (-24)\/(-80)*(5 - 3) + 21866\/65. Is z < m?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 10528683701 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is r in 2*r**2 - 213290*r - 213292 = 0?\nAnswer: -1, 106646","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-9*u - 23*u - 6*u)*(-7 + 3 + 2)*(1 + 1 - 1).\nAnswer: 76*u","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:55 AM and 3:29 PM?\nAnswer: 394","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let l(o) be the first derivative of 3*o**2\/2 - 36. Let s(u) = 41*u**2. What is l(s(z))?\nAnswer: 123*z**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let u(c) be the first derivative of 67\/4*c**4 + 73*c + 0*c**2 + 2 - 2\/3*c**3. Differentiate u(x) with respect to x.\nAnswer: 201*x**2 - 4*x","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Add together 25351095 and -0.1.\nAnswer: 25351094.9","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let s be 11\/2 - 2\/4. Suppose 0*y + s*r + 35 = 5*y, 0 = 5*y - 3*r - 29. Solve -2*j - 18 = 2*q, 2*q - 6*q + 4*j = -y for q.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of -4 + (73*(-18)\/(-3) - -3)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 12, 1\/7, -2\/11, -4 in increasing order.\nAnswer: -4, -2\/11, 1\/7, 12","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 20*c**4 - 14*c**4 + 12*c**4 + (0 + 0 + 2*c**2)*(2*c**2 - 3*c**2 - c**2) to the form h*c**4 + j*c**2 + r*c + y + u*c**3 and give y.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 7.469329*1.\nAnswer: 7.469329","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -426424*d**5 + 7*d**2 - 280*d wrt d.\nAnswer: -25585440*d**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is -10 - 11110101?\nAnswer: -11110111","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let z(x) = x**3 - 222*x**2 + 4748*x + 803. Give z(198).\nAnswer: 11","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of -557675, -2230714, -5019113, -8922872, -13941991, -20076470?\n\"Answer: -557680*a**2 + a + 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) -2\/7 (b) -268 (c) 4 (d) -7 (e) 5\/33 (f) -0.3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-56)\/((-448)\/(-6)))\/((-3)\/1*1).\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is -321 + 2210?\nAnswer: 1223","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 359545460*r - 3*r**3 - 359545460*r.\nAnswer: -3*r**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -90.66094 - -92.098. Round s to one decimal place.\nAnswer: 1.4","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:39 AM and 9:45 AM?\nAnswer: 126","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Convert 0 (base 9) to base 11.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let t(q) = -73*q - 2. Let i(s) = -41*s + 49*s - 9*s. Calculate t(i(g)).\nAnswer: 73*g - 2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -d = -3*o - 1375, -4*o - 4105 = -6*d + 3*d. Is d a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -0.2*8.9.\nAnswer: -1.78","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 171 minutes before 1:59 PM?\nAnswer: 11:08 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 123516, 988032, 3334590, 7904214, 15437928, 26676756, 42361722?\nAnswer: 63233850","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 4894580?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -1.6 + 0.6. Which is the smallest value? (a) -4 (b) -0.5 (c) s\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-210)\/189 - (6128\/(-5904) + 0).\nAnswer: -3\/41","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*g = -2*l + 10, 5*g - 34 = 2*l - 12. Let r = 74 + -72. Factor 6*m - 3 + 2*m**2 - 6 + 5*m**r - g*m**2.\nAnswer: 3*(m - 1)*(m + 3)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 67849 and 1389736?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: 8 (base 10) to base 6\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 131\/27924 and 121\/1998714.\nAnswer: 51966564","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (42\/(-35))\/(4\/10). Let n(s) = s**2 - 2*s + 1. Let j be n(3). Sort 5, t, j in ascending order.\nAnswer: t, j, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -2136314614209\/40313 + 688908108\/13. Let i = 594\/443 - k. Let t = i + -263. Is 2 not equal to t?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(t) = 5*t + 18. Determine c(-7).\nAnswer: -17","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let r(a) = 197*a + 1970. Let q be r(-10). Solve -2*d + 5*t + 21 = q, 6*t - 10 = 8*t for d.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) -11 (b) -0.4 (c) -0.1 (d) -0.3 (e) 4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8*k = 9*k - 35. Is k a multiple of 14?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 4111975 and 350.\nAnswer: 175","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: -260 divided by -5\nAnswer: 52","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -1155328\/11 + 105030. Factor 4\/11*l - c*l**3 + 3\/11*l**2 - 1\/11*l**4 - 4\/11.\nAnswer: -(l - 1)**2*(l + 2)**2\/11","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_test"},"subset":"dm_maths"} +{"text":"Question: Express 4*v**3 - 8*v**3 + 2491 - 2490 + 1144*v**2 as x*v**3 + f*v**2 + h + g*v and give x.\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -860622 divided by -3966.\nAnswer: 217","meta":{"dup_signals":{},"source":"arithmetic__div_test"},"subset":"dm_maths"} +{"text":"Question: Let d(o) = o**2 + 10*o - 23. Let i be d(-18). Suppose i = 2*u - 23. What is the greatest common divisor of u and 36?\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(k) be the first derivative of -3\/2*k**2 - 1\/20*k**6 + 0*k**3 - 5 + 1\/12*k**4 - 1\/15*k**5 + 0*k. Let u(y) be the second derivative of r(y). Factor u(v).\nAnswer: -2*v*(v + 1)*(3*v - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1321 (base 4) in base 10?\nAnswer: 121","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (2 - -1) + 27 + -28.\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(110)\/(sqrt(40)\/sqrt(4)*6).\nAnswer: sqrt(11)\/6","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let d(i) = -2*i - 38. Let b(h) = -h**2 + 6*h + 115. Let a(u) = -4*b(u) - 11*d(u). What are the prime factors of a(-8)?\nAnswer: 2, 5, 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -2 and -16.\nAnswer: 32","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let h(a) = 21*a**2. Let m(u) = 20*u**2 - 2*u. What is m(h(j))?\nAnswer: 8820*j**4 - 42*j**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 163 is divided by 40?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -667 + 669. Let y be 7 - 2 - (-792)\/s - 5. What is y rounded to the nearest one hundred?\nAnswer: 400","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 16\/(-9)*5157\/(-1146).\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of -2371, -4439, -6205, -7663, -8807, -9631, -10129?\n\"Answer: o**3 + 145*o**2 - 2510*o - 7","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 128618 is divided by 341?\nAnswer: 61","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let v be 0\/(-9) - (-3 - (0 + 1)). Suppose 0 = 5*o + v*o + 657. Let k = 77 + o. Solve -k*u + 5*u = -3 for u.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 863 is divided by 3*289\/11 + (-428)\/(-2354).\nAnswer: 73","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(o) = -7*o + 1. Let i(p) = -84*p**2 + 163*p**2 - 80*p**2. Calculate i(n(v)).\nAnswer: -49*v**2 + 14*v - 1","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let f(n) = n**3 - 6*n**2 - 7. What is f(6)?\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 3847476 is divided by 421?\nAnswer: 378","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((2 + 0 - 3)*(2 + 2 - 3) + 0 + 0 - 1)*(-2643*p + 2643*p - 76*p**3).\nAnswer: 152*p**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Factor -4*p**3 + 2432*p**2 - 365844*p - 368280.\nAnswer: -4*(p - 330)*(p - 279)*(p + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let y be ((-759)\/(-66))\/(2\/4). Suppose -3*t - 4*i = -57, 4*i + i = 0. Differentiate -12 - t*x**3 + y + 11 wrt x.\nAnswer: -57*x**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {c: 6, m: 5, t: 2}. Give prob of picking 2 t and 2 c.\nAnswer: 3\/143","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let u(i) be the first derivative of -129*i**5\/5 + 5*i**2\/2 - 6719*i + 4206. What is the derivative of u(a) wrt a?\nAnswer: -516*a**3 + 5","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 237 minutes after 3:57 AM?\nAnswer: 7:54 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let q be ((-92)\/(-120))\/1 - 4\/6. Let r(v) be the second derivative of 0*v**4 + 0 + v + q*v**5 + 0*v**2 + 1\/3*v**3. Find the second derivative of r(c) wrt c.\nAnswer: 12*c","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(h) be the first derivative of 3*h**2\/2 + 2*h - 662. Let a(v) = 4*v - 22. Let y be a(6). Give x(y).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from eekeeeek. Give prob of picking 2 k.\nAnswer: 1\/28","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Sort -0.4, -4, 3, 70\/3, 7\/5, 10\/7 in descending order.\nAnswer: 70\/3, 3, 10\/7, 7\/5, -0.4, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is -766\/7405 greater than 1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let m(x) be the second derivative of -x**6\/40 + x**3\/6 + x**2\/2 - 3*x. Let r(a) be the first derivative of m(a). Find the first derivative of r(w) wrt w.\nAnswer: -9*w**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 0, 2, 3, -73974 in descending order.\nAnswer: 3, 2, 0, -73974","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let a(d) = -d**2 + 9*d - 4. What is the tens digit of a(5)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 493 minutes before 6:21 PM?\nAnswer: 10:08 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 205105 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 -153*g - 2*g = 139*g - 3*g + 13386 for g.\nAnswer: -46","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -9 + 4 = -5*r. Suppose 5*l - 2*g = -0*l + 2017, -g - r = 0. Is l prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 1 + -5. Find the common denominator of -83\/20 and (-575)\/140 - (-1)\/u.\nAnswer: 140","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) 0.1 (b) -3\/8 (c) 0 (d) 10\/7\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -2*(sqrt(192) + 0 + sqrt(192) - sqrt(192)) + 5 - (sqrt(48)*-4 - (1 + sqrt(363)))*4.\nAnswer: 9 + 92*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 49\/5 and -13\/98647?\nAnswer: 493235","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 24751.\nAnswer: 53, 467","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of 115, 440, 975, 1720, 2675?\n\"Answer: 105*o**2 + 10*o","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {v: 7, l: 4, w: 4, r: 1, n: 1}. What is prob of picking 1 w and 1 v?\nAnswer: 7\/34","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 122496242?\nAnswer: 2, 11, 607, 9173","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 8195 + -8155. Calculate the remainder when 478 is divided by m.\nAnswer: 38","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 21 at least as big as 512\/25?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let r(y) = -y**3 - 5*y**2 + 6*y + 11. Give r(-6).\nAnswer: 11","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 129*f + 338 = -425 - 656 for f.\nAnswer: -11","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -2.9603 - 0.0397. Let c = 0 + -0.1. What is the nearest to c in 3, j, 2?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: 181037 (base 9) to base 2\nAnswer: 11011011010101100","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let q(w) = -5*w**2 - 3*w - 1. Let c(s) = -6*s**2 - 4*s - 1. Let d(v) = 4*c(v) - 5*q(v). Let y(h) = 1. What is d(k) - y(k)?\nAnswer: k**2 - k","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -28 - -27. Let f(g) = 7*g**2 + 1 - g + g + g. What is the least common multiple of 17 and f(r)?\nAnswer: 119","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -39*n + 38*n + a = -39, 3*n = a + 125. What is the remainder when n is divided by 12?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 7 - 4. Suppose -5*s + 25 = -0*s + q, -a*q + 27 = 3*s. Does 2 divide s?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in 5, 814, -2\/13, 0.8, -4?\nAnswer: -2\/13","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -r + 2013 = 10*r. What is the units digit of (11 - r)*(0 + 2\/(-4))?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(c) = -2*c + 33. Let a be k(18). Let t(d) = 4*d + 13. Give t(a).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g be 13 + 0*4\/(-8). Let i be (2\/(-2))\/(1 - g). Which is the biggest value? (a) i (b) 0 (c) -2\/7\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of 2815, 12125, 27939, 50269, 79127, 114525?\n\"Answer: 2*g**3 + 3240*g**2 - 424*g - 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 7887989 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 90 and 23805315.\nAnswer: 45","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 423 minutes before 4:15 AM?\nAnswer: 9:12 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is -1440.46394 rounded to the nearest 100?\nAnswer: -1400","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let v be ((-21)\/(-9) + -2)*51. Let f = -12 + v. Suppose 2*q - 2*r + 17 = 331, -f*q + 785 = -3*r. Is q composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 4 + (-14 + 9 - -4).\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*y + 8 = -2*f, 4*f = y - f - 24. Which is the biggest value? (a) y (b) 1 (c) -20 (d) -2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 31783, 59331, 82647, 101731, 116583, 127203?\nAnswer: 133591","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let a(m) = -3*m - 5. Let n(p) = 13*p + 226. Let b be n(-17). Let u(x) = 4*x + 5. Calculate b*a(o) + 4*u(o).\nAnswer: o - 5","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -4 in 2\/2431, -1\/4, -0.1, -44, 4?\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 59 - 93. Let s = 32 + 3. Let b = d + s. Put b, 0, 11 in increasing order.\nAnswer: 0, b, 11","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is 103 - -1?\nAnswer: 104","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is 325159 < 325158?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 27 - 27. Let o(r) = -11 + h*r + 4*r - 3*r. Determine o(6).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 287 and 2683368.\nAnswer: 41","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:39 PM and 3:05 AM?\nAnswer: 386","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 9*h**3 - 59319*h - 891928 with respect to h.\nAnswer: 27*h**2 - 59319","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let c(q) = -2*q - 1. Let k(l) = -l**3 - 2*l**2 - 7. Let r be k(-3). Determine c(r).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 287663660 a multiple of 67?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 0*x**2 + 0*x**2 + 2767*x**4 - 10 - 2764*x**4 - x**3 - 4*x - 4 to the form g*x**2 + t*x**4 + i*x**3 + a + u*x and give t.\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 79517 to the power of 1\/4, to the nearest integer?\nAnswer: 17","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 7 - 4 + 14 - 1 + 682*x**2 - 681*x**2 + 28*x to the form b + o*x + z*x**2 and give b.\nAnswer: 16","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: 200 divided by -40\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve 19*a - 14*a = -3*k + 10, -2*k = -4*a + 30 for k.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8*x - 11 = -19. Let r(o) be the first derivative of 0*o - 1\/2*o**2 + x. What is r(4)?\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 49\/5 of a micrometer in nanometers?\nAnswer: 9800","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is o in o**4 - 8*o**3 + 23*o**2 - 28*o + 12 = 0?\nAnswer: 1, 2, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let i(j) = -j**2 - 6*j + 3. Let n = 18 + -13. Suppose -10 = 5*w - n*g, 5*w = w - 3*g - 29. Determine i(w).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(r) = -8*r - 220. Give p(-28).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -2 - -7. What is the remainder when 3*-76*2\/(-24) is divided by u?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r be -1 - (12\/(-60) + (-78)\/95). Which is smaller: -1 or r?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: (1368\/(-912)*2\/(-6))\/(2\/(-132))\nAnswer: -33","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let x(c) = 4*c + 12 - 9 - 6. Calculate x(3).\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 7329?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -16 + 206\/13. Let z = 0.1 + 0. What is the third biggest value in x, z, -2\/5?\nAnswer: -2\/5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-32)\/(-40))\/(6\/(-5) - 0)?\nAnswer: -2\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -3*(4 + (sqrt(425)*2)**2 + 2 + sqrt(17) + 0).\nAnswer: -5118 - 3*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let d(k) = -k + 3. Let y(t) = 44*t + 7. Give 3*d(s) - y(s).\nAnswer: -47*s + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5131 = -6*w - w. Let v = -249 + w. Suppose -g = g - v. Calculate the highest common factor of 22 and g.\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(l) = -3*l**3 - l**2 - 3*l - 4. Let b(a) be the first derivative of -a**2\/2 - a + 6995. Calculate 6*b(h) - d(h).\nAnswer: 3*h**3 + h**2 - 3*h - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let w(y) = -282*y. Let g be w(-1). Let b be (g\/(-8))\/((-3)\/4). Suppose 5*v - r = b, -5*v - 3*r - 7 = -66. What is the units digit of v?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -17156, -17131, -17106, -17081, -17056, -17031?\nAnswer: -17006","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Factor 3*k**4 - 240*k**3 + 234*k**2 + 240*k - 237.\nAnswer: 3*(k - 79)*(k - 1)**2*(k + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is -128920 rounded to the nearest ten thousand?\nAnswer: -130000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of 453802, 453807, 453816, 453829, 453846, 453867, 453892?\n\"Answer: 2*t**2 - t + 453801","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 2 divided by -12577.\nAnswer: -2\/12577","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 545*a**2*s*w - 268*a**2*w**2 + 7083*a**2*w - 34152*a*s*w**2 + 2*s wrt w.\nAnswer: -536*a**2 - 68304*a*s","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {t: 1, e: 8, w: 3, j: 2, h: 2, p: 1}. Give prob of sequence wehe.\nAnswer: 1\/170","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Work out 31889761 * -0.07.\nAnswer: -2232283.27","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let x(o) = -2*o - 2. Let q be x(-3). Suppose -106394*b - 342 = -106451*b. Solve -3*n + 3*a + b = 0, 5*n - 1 = q*a + 7 for n.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -151\/144 and 55\/16?\nAnswer: 144","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Determine k so that 5*k**5\/3 + 595622*k**4\/3 - 357397*k**3\/3 - 2620738*k**2\/3 + 1429508*k\/3 + 953000\/3 = 0.\nAnswer: -119125, -2, -2\/5, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 281484*u**5 + 147401*u**2.\nAnswer: 16889040*u**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Express -2*t - 52*t**2 + 12 - 11 - 1 + 12*t**2 in the form z*t**2 + g + y*t and give y.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Expand (4 - 2 + 0)*(10*s + 2*s - 3*s + (2 - 1 + 1)*(-3*s + 3*s + 6*s)) - 3*s - 10*s + 0*s.\nAnswer: 29*s","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Expand 0*b**5 - 2*b**5 + 3*b**5 - b**3 + b**3 + b**5 + (-2*b**2 - b**2 + 2*b**2)*(8*b**3 - 2 + 2) + 3*b**5 - 2 + 2.\nAnswer: -3*b**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is eleven quarters of a centimeter in micrometers?\nAnswer: 27500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Does 214 divide 142244841?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Expand 8*b**4 + 6*b**2 - 6*b**2 + (-b**2 + 3*b - 3*b)*(b**2 + 4*b - 4*b) + 0*b**4 - 3*b**4 + b**4 + b**4 + 0*b**4 - 2*b**4.\nAnswer: 4*b**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (h**(-1\/24)\/(h\/(h\/h**(-5\/6))))**(-26) assuming h is positive.\nAnswer: h**(-247\/12)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 647197.\nAnswer: 19, 23, 1481","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -4125 + 4128. Solve -18 = 2*k + 2*m, z*k - 4*m - m - 13 = 0 for k.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (26*r**2 - 31 - 2*r**3 + 31)*(r - 6*r + 0*r)*(6 + 1 + 0).\nAnswer: 70*r**4 - 910*r**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is (90102\/12)\/((-7)\/(-14)) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is fourty-four fifths of a litre in millilitres?\nAnswer: 8800","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Add -3099.74084 and -35.62.\nAnswer: -3135.36084","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Express (50 + 159 + 149)*(-1 + 1 + 2)*(27*j + 44 - 44) in the form v + o*j and give o.\nAnswer: 19332","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -2853472, -2853482, -2853500, -2853526?\nAnswer: -2853560","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 149\/10500 and 163\/15000?\nAnswer: 105000","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -15*f - 18124 = -61*f. What is the remainder when f is divided by 12?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 71, 135, 195, 251, 303, 351?\nAnswer: 395","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 g, 1 b, and 1 w when three letters picked without replacement from bvgbwdwbbvvd?\nAnswer: 2\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -392 = 6*y - 2270. What is the third derivative of y*i**2 - 111*i**3 + 307*i**2 - 614*i**2 wrt i?\nAnswer: -666","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 121\/6 + 2\/(-12)?\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(q) be the second derivative of 22*q**6 + 130*q**3 + 785*q. Find the second derivative of r(m) wrt m.\nAnswer: 7920*m**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(c) = -21754*c - 1762054. What is x(-81)?\nAnswer: 20","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(1500) + sqrt(1500) + (sqrt(1500)*5 + sqrt(1500) + sqrt(1500))*4)\/(sqrt(33)\/sqrt(3564)))**2.\nAnswer: 145800000","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose l + 3*o = -3*l + 5, -l - 5*o = 20. Let q(t) be the first derivative of t**4\/4 + t**3 + 3. Let b be q(-2). Which is smaller: l or b?\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 2\/(-6) - 82\/(-24) and ((28\/(-126))\/(1\/(-33)))\/((-13420)\/(-165)).\nAnswer: 732","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of 49, 125, 219, 331?\n\"Answer: 9*a**2 + 49*a - 9","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: ((-9)\/(-15))\/(((-2400)\/(-3500))\/(22\/7))\nAnswer: 11\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -23*i - 31*i - 50*i.\nAnswer: -104*i","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Work out -0.07 * 66.\nAnswer: -4.62","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 3.7 - 3.3. Which is the nearest to -1? (a) x (b) -12 (c) 3 (d) -1\/12\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b be 1*((-6)\/3 + 2). Suppose -3*n = 3*d - 3, b = -5*n - d + 5 + 4. Suppose n*v + 30 = 4*k, k - 2*v = 3*k. Which is smaller: k or 6?\nAnswer: k","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 4222597 is divided by 6866?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let x be 2 - ((-11 - 2) + -1). Suppose s - 5*s + x = -5*m, -5*m + 11 = -s. Let u = 4 - s. Sort 5, u, 0 in ascending order.\nAnswer: u, 0, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_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: What is the next term in -1312264, -2624526, -3936788, -5249050?\nAnswer: -6561312","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in 12909, -1\/5, -70?\nAnswer: 12909","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let u(t) = -t**3 - 35*t + 211. What is the remainder when 237 is divided by u(0)?\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(x) be the second derivative of 25*x**3\/6 + 15*x**2\/2 - x + 262. Let n(o) = 1. Calculate -15*n(j) + q(j).\nAnswer: 25*j","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 11160, 22320, 33482, 44646, 55812, 66980?\nAnswer: 78150","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (i\/(i*i*i**(-37\/5)))\/i**(10\/7)*(i*i**(-3\/14))\/(i**(-38)\/i) assuming i is positive.\nAnswer: i**(3133\/70)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let j(o) = -94*o - 72. Let a be j(-1). What is the greatest common divisor of 583 and a?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 104*n - 269 = 1499. What is the nearest to 2 in 2\/5, 3, n?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 4560571?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*v = -5*g - 4 - 2, 0 = 2*g - 4*v + 12. Let h(y) = 0*y + g*y - y**3 - 1 - y**2. Let z be h(-2). Solve -3*c + 0 = -z for c.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between -0.012 and 47326736.9?\nAnswer: 47326736.912","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 55 + -82. Let f = 15 + i. Let q = 21 + f. What are the prime factors of q?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in -0.0254, -5, 1\/2944?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*s - 36 + 16 = 0. Let w = -2 - -3. What is the remainder when (-5)\/(-1) + 1 + w is divided by s?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*w - 7*w = -83. What is the units digit of w?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -24? (a) 586 (b) 0 (c) -0.07\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 160*w = 107*w + 33019. What is the remainder when w is divided by 6?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 106 by 15.\nAnswer: 106\/15","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence yuy when three letters picked without replacement from {u: 3, q: 1, y: 3}?\nAnswer: 3\/35","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 19078.10141 - 19078. Let l = -0.0855 + d. Round l to 3 decimal places.\nAnswer: 0.016","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(l) = -2*l**3 - 11*l**2 + 25*l + 32. What are the prime factors of g(-12)?\nAnswer: 2, 401","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*x - 54*x = -8*x. Let o(b) be the third derivative of 0*b**3 + x*b + 0*b**4 - 1\/10*b**5 - 5*b**2 + 0. Let w(j) = -3*j. What is o(w(y))?\nAnswer: -54*y**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let g(r) = -23*r + 194. What is the remainder when 479 is divided by g(8)?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -4 - (-10 - (-11 + 3)).\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*v + 2*m - 30 = 0, 32 = -v - v + 3*m. Let f = v + 15. Suppose 2*i = f - 6, -78 = -5*o - i. Is o a multiple of 16?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 9 - 4. Suppose -t + 17 = x - 5*x, -u*t - 2*x = -19. Let z(j) = -j + t*j - 4*j + j**2. Let r(v) = 5*v**2. Calculate z(r(h)).\nAnswer: 25*h**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let x(h) = -17*h - 93. Let y(w) = 5371*w**2 - 1787*w**2 - 1793*w**2 - 1792*w**2. What is x(y(v))?\nAnswer: 17*v**2 - 93","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (-2)\/10 - (-6)\/(-30). Let z = 2\/49 - 59\/245. Put d, z, -7 in descending order.\nAnswer: z, d, -7","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((w*w\/((w**4*w)\/w))**(1\/14)*(w*(w\/w**(3\/2))\/w)**(-5\/3))**7 assuming w is positive.\nAnswer: w**(29\/6)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let s be 3\/(-4) + (-2)\/(-2). Let r be (-120)\/25 - (-1)\/(-5). Let j be ((-1)\/3 - -1)\/(r\/3). Sort s, j, -2 in increasing order.\nAnswer: -2, j, s","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -0.1659 + -1729.8341. Let l = y - -1821.1. What is l rounded to the nearest 10?\nAnswer: 90","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(c) be the third derivative of 3*c**4\/4 + 91*c**3\/3 - 42*c**2. Determine l(-12).\nAnswer: -34","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 11194647?\nAnswer: 3, 3731549","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence wnjw when four letters picked without replacement from {o: 1, q: 1, j: 2, n: 2, w: 2, y: 1}?\nAnswer: 1\/378","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3*m**3 + 2*m**2 - 2*m**2)*(6 - 6 - m**2).\nAnswer: -3*m**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0.5, 214, -2\/3, -13 in descending order.\nAnswer: 214, 0.5, -2\/3, -13","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is -147 divided by -3?\nAnswer: 49","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is -10 + 102440?\nAnswer: 102430","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 1\/37? (a) -231 (b) 4 (c) -1\/8\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is (-24)\/(-18)*(-271 + -19)\/((-4)\/135) a multiple of 15?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -1 + -16. Let z(k) = 1053*k**3 - 15 - 524*k**3 - k - 528*k**3 + 17*k**2. Let u be z(i). Solve y = -u + 4 for y.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 876469?\nAnswer: 11, 17, 43, 109","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.000002669 rounded to 7 decimal places?\nAnswer: 0.0000027","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 7507098 or 7507097?\nAnswer: 7507098","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Factor -m**3 + 9654*m**2 - 23299929*m.\nAnswer: -m*(m - 4827)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let d(h) = -2*h. Let p(z) = -4*z. Let n(u) = -7*u. Let j(i) = 4*n(i) - 6*p(i). Calculate j(d(w)).\nAnswer: 8*w","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1 divided by 3.\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1492*x + 1496*x = 2*r + 28, -24 = 2*r for x.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 31 = 2*h - 2*o - 63, -3*h + 2*o + 139 = 0. Determine x, given that -h*x + 5*x + 4*x**2 + 6 + 94 = 0.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(q) = -12*q - 5. Let o(r) = 12*r + 4. Let j(s) = -4*h(s) - 5*o(s). Let z(a) = -2*a**2. Determine z(j(t)).\nAnswer: -288*t**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Convert 40050255 (base 6) to base 4.\nAnswer: 10102332323","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let z(g) = g**2 + 117*g + 2011. Let u be z(-96). Let l(y) = 6*y + 21. Give l(u).\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 13875650309 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 1 + 2 - 1400*c - 1393*c + 2802*c to i + r*c and give i.\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence uc when two letters picked without replacement from {s: 1, n: 1, m: 2, c: 7, u: 1, j: 2}?\nAnswer: 1\/26","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let w(y) = -3*y**3 - 4*y**2 - y + 2. Let m be w(-2). Suppose m + 27 = 3*f. Calculate the highest common divisor of 52 and f.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out -0.11601 * -1.9.\nAnswer: 0.220419","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from sdlsysedyyb. What is prob of picking 1 s and 1 d?\nAnswer: 6\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Does 4 divide 1516?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let l(q) be the second derivative of -q**4\/90 - 22*q**3\/45 - 32*q**2\/5 + 6*q + 59. Factor l(g).\nAnswer: -2*(g + 6)*(g + 16)\/15","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 44117 + -44115. Let k be ((-2)\/4)\/((-1)\/24). Solve c*l + d = -3*l - 4, 4*l - 3*d - k = 0 for l.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 463 minutes after 3:33 AM?\nAnswer: 11:16 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1030 = 4*n + 42*l, -3*n - 2*l = 27833 - 27798 for n.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let s(a) = 7*a - 21. Let f be s(3). Solve f = -m - 7 + 4 for m.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (r**(6\/17)\/r*r)\/(r\/r**(6\/11)) assuming r is positive.\nAnswer: r**(-19\/187)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 310.28467 plus 3439?\nAnswer: 3749.28467","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -71 + 214. What is the hundreds digit of k?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: 16\/(-60)*(-1155)\/66 - 8\nAnswer: -10\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -5*c**2 + 6911 - 6911 - c**2 - c**2 - 6*c.\nAnswer: -7*c**2 - 6*c","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify k**(-2\/15)*k**(-7)*k*k*k**(-4)*k**(1\/4) assuming k is positive.\nAnswer: k**(-533\/60)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let u(c) = -36*c - 859. Calculate u(-16).\nAnswer: -283","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 6 + -2. Let o = v - 2. Calculate the least common multiple of o and 5.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of -150, -171, -206, -261, -342, -455, -606?\n\"Answer: -x**3 - x**2 - 11*x - 137","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -w + 5*w. Suppose 2*d - 12 = -3*d - 2*g, -3*g + 3 = w. What are the prime factors of d?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-2 + 5*(sqrt(80) + 1 + 2)*-4)*3 + 2)**2.\nAnswer: 88320*sqrt(5) + 321856","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 i and 1 x when two letters picked without replacement from xnivcvcxyynv?\nAnswer: 1\/33","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 e and 1 b when three letters picked without replacement from tttttbbeeebe?\nAnswer: 9\/110","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 2*1\/(-9)*7*54\/378.\nAnswer: -2\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Divide -3 by -550.\nAnswer: 3\/550","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -30578 or -29913?\nAnswer: -29913","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -528*(2926\/(-456))\/77.\nAnswer: 44","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -2 in 172, 1\/3, -5\/2?\nAnswer: -5\/2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let n(i) = -30*i - 640. Give n(-21).\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 86 - 86. Sort k, -4\/3, -2\/17 in decreasing order.\nAnswer: k, -2\/17, -4\/3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((m\/((((m\/m**6*m)\/m)\/m*m)\/m))\/(m**7*m)*m*m**(8\/7)\/m*m\/(m*(m\/m**(-11)*m)\/m*m))**(-2) assuming m is positive.\nAnswer: m**(180\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is (-34031092)\/(-606735) - 4\/45?\nAnswer: 56","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 30 and 100.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 1319675 to the nearest integer?\nAnswer: 1149","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 404 minutes after 4:28 PM?\nAnswer: 11:12 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Sort 5, 0, 2, -6 in descending order.\nAnswer: 5, 2, 0, -6","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -5*(4 + -2*(-1*sqrt(119)*2)\/(sqrt(7)*2*-6)*5)**2*-3.\nAnswer: -200*sqrt(17) + 2845\/3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5 + 5 = 16*p for p.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 5807370*x**3 - 599*x + 1998?\nAnswer: 34844220*x","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -155, -185, -243, -335, -467, -645?\nAnswer: -875","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 8 a factor of 2892375256?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is 14100301 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (0 + -2 - 0) + 7?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve -7*j = -4*v - 54, -13*v - 21*j = -4*v - 5*j - 12*j + 161 for v.\nAnswer: -17","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred millions digit of 200333681?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 214610 to the power of 1\/3, to the nearest integer?\nAnswer: 60","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let k(x) = -2047*x + 8294. Let r be k(4). Which is bigger: 1174\/11 or r?\nAnswer: 1174\/11","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 71*l**4 - 321*l + 321*l - 8*l**4 + 15*l - 15*l + (l + l - 4*l)*(-l**3 + 3*l**2 - 3*l**2) in the form k*l**2 + x*l**4 + f*l**3 + s*l + a and give x.\nAnswer: 65","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let u(d) be the second derivative of -10*d + 0 - 5\/2*d**2 + 1\/2*d**3. Give u(4).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose m + 81 = 2*s - 114, -2*s = 0. Let a be 3\/(-15)*2 + m\/(-675). What is the closest to 0.5 in a, 0.5, 0.2, 1\/6?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -7 + 4. What is the least common multiple of 68\/306 + 176\/18 and ((-6)\/(-4))\/(y\/(-32))?\nAnswer: 80","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 78 and 26.\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: (1 + 2)\/(605358\/1037586 - 12*(-2)\/(-44))\nAnswer: 79","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -0.599687 + 255.627487. Let j = 255 - l. What is j rounded to three decimal places?\nAnswer: -0.028","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 6\/5 of a litre?\nAnswer: 1200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -15 + -4 + (12 - 30) + -8.\nAnswer: -45","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let -188 + 224 + 2*p**2 + p**2 - 18*p - p**2 - 4*p = 0. Calculate p.\nAnswer: 2, 9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -1965675*l**2 - 220632*l**2 + 23339290*l**2.\nAnswer: 21152983*l**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 466 is divided by 121.\nAnswer: 103","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of 5135, 10241, 15317, 20363, 25379, 30365?\n\"Answer: -15*q**2 + 5151*q - 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let i(l) = -l**3 + 7*l**2 + 6*l + 4. Let n be i(6). Let z = n - -80. Does 12 divide z?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 108 = -26*o + 4 for o.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let w(x) = 26*x. Let d(y) = -4*y - 1. Let o(l) = -14*l - 4. Let v(t) = 4*d(t) - o(t). Calculate v(w(u)).\nAnswer: -52*u","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let w(a) = 19*a - 2. Let t be w(3). Let y be 36 + 1 - (21 - 15). Let b = t - y. Calculate the highest common divisor of 12 and b.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*o - 9 - 11 = 0. Let z = 34\/9 + -28\/9. Which is the third smallest value? (a) o (b) 9\/7 (c) z\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-6)\/(-81) - 8060\/(-540)\nAnswer: 15","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(p) = -1 - 4*p + 4*p + 2*p + 19. Let l be h(-9). Let b(y) = -y**3 + 4*y**2 + y + 1. Let o be b(4). Solve 5*a = -l*a + o for a.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence zsm when three letters picked without replacement from {s: 1, m: 5, h: 3, z: 2, w: 1}.\nAnswer: 1\/132","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (18 + (-22)\/(440\/350))*(4 - 4)?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is 32518 - 13630?\nAnswer: 19998","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -11 - -54\/5. Let h be ((-9)\/15)\/((-18)\/15). Let u = 0.1 + -2.1. What is the nearest to -1\/4 in d, h, u?\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 37*g**5 - 2*g**2*v**2 + 16*g*v**2 + v**2 wrt g?\nAnswer: 740*g**3 - 4*v**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -16215, -16216, -16217, -16218, -16219, -16220?\nAnswer: -16221","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is (3\/2 - 423\/564)\/(27\/24)?\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 2 + 350*s - 329*s - 2 to the form c + t*s and give t.\nAnswer: 21","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Work out -10452 + -5.\nAnswer: -10457","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -88 + 4*o - o - 86 + 174 + 2*o.\nAnswer: 5*o","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*a - 3*m + 116 = 0, 195*a = 197*a + 3*m - 52. Solve a = -11*u + 3*u for u.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 3148390207?\nAnswer: 97, 32457631","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth biggest value in -6.6, 0.2, -88, -1, 5\/16, 27?\nAnswer: -88","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose u - 4*v = -8, -7 = 2*u + 4*v - 15. Solve -3*c - c + 12 = u for c.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -206, -412, -618, -824, -1030, -1236?\nAnswer: -1442","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Divide -6 by -550.\nAnswer: 3\/275","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: (-1 - -8) + 2 + -7\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 625605757 a multiple of 287?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 26894155?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.00714631371 rounded to seven dps?\nAnswer: -0.0071463","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let o(i) = -4*i + 4. Let c(b) = 63*b**3 - 2*b**2 + 2. Let l be c(3). Let x = l - 8487\/5. What is the common denominator of x and o(2)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (-519)\/(-255) - (77\/15 - 5). Let i = h - 4\/17. Put -0.4, i, 5 in ascending order.\nAnswer: -0.4, i, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 5 and -770?\nAnswer: -3850","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 105140209?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose b = -9*i + 55023, 2*i + 39974 = 4*b - 180080. What is the units digit of b?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 0 + (-3*sqrt(98)*-2)**2 + 3.\nAnswer: 3531","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from mxwxwwrmxxmwvkwrrmww. Give prob of picking 1 k, 1 x, and 1 r.\nAnswer: 1\/95","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 6 + 7 + 11 - 494*h + 10 - 36 to the form t*h + y and give y.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let m(f) be the second derivative of -55225*f**7\/21 + 33323*f**6\/3 - 168499*f**5\/10 + 58057*f**4\/6 - 952*f**3\/3 + 4*f**2 - 95*f. Factor m(y).\nAnswer: -2*(y - 1)**3*(235*y - 2)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -499*q - 493*q - 180*q**2 + 992*q.\nAnswer: -180*q**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let c(q) be the third derivative of 0*q**3 + 1\/21*q**4 - 4*q**2 + 0*q + 1\/1176*q**8 + 0 + 2\/105*q**5 - 2\/735*q**7 - 1\/140*q**6. Find l, given that c(l) = 0.\nAnswer: -1, 0, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of -87, -107, -129, -153?\n\"Answer: -o**2 - 17*o - 69","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 74693886?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve -7*h = -27 - 1 for h.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of 3352, 22938, 76100, 179626, 350304, 604922, 960268, 1433130?\n\"Answer: 2798*u**3 + 554","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand -c**5 - 3*c**5 + 6*c**5 + (c**2 - c**2 - c**2)*(-2*c**3 + 0*c**3 + 0*c**3) + (14*c - 7*c - 2 + 7)*(-4*c**4 + c**4 + 0*c**4).\nAnswer: -17*c**5 - 15*c**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -31\/6 and 101\/2376.\nAnswer: 2376","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Find o such that 3*o**3 + 151077*o**2 + 1913676072*o + 293001337860 = 0.\nAnswer: -25102, -155","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence qf when two letters picked without replacement from bbnnbfqqnnybyqqq.\nAnswer: 1\/48","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2821?\nAnswer: 7, 13, 31","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of -349293, -348579, -347865, -347151, -346437, -345723?\n\"Answer: 714*k - 350007","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Work out -7 * 488.\nAnswer: -3416","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 1650 and 7.655.\nAnswer: 12630.75","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -38 - -45. Suppose 2*n = 3*a + p, -10 + 0 = -3*n + 4*a. Determine r so that r**3 + 18*r**2 - 4 + 19*r**2 - 42*r**n + 8*r = 0.\nAnswer: 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out -2 * 13.\nAnswer: -26","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 21.4962 and 20.\nAnswer: 429.924","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of -361, -428, -613, -976, -1577, -2476, -3733?\n\"Answer: -10*f**3 + f**2 - 352","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*s = -5*s - 3*q - 21, 7 = s - 5*q. Let g be (s - -2) + 0 - -2. Let u be 2 - (-3)\/g - 1. Which is smaller: 3 or u?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*a + 3*v + 0*v = 39, a - 2*v = 9. Suppose a = 3*g, 3*g + 87 = 2*h - 132. Calculate the highest common factor of 13 and h.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -28*f - 2490 = 99*f + 39*f for f.\nAnswer: -15","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 126 and 50211.\nAnswer: 63","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 27*b**3 + 115*b**3 - 2*b**2 - 2*b**2 + 5*b**2 - 118*b**3 - 69*b**3.\nAnswer: -45*b**3 + b**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from hpyhampadahdayayhpdp. What is prob of picking 1 h and 1 m?\nAnswer: 2\/95","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Does 4 divide 1 - (3 - 0) - (-13 - -4)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (1\/3)\/((-2)\/(-18)). Let z = 4 - d. Solve -z = -s + 1 for s.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: 422 (base 9) to base 13\nAnswer: 206","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 41 is divided by 25?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*d = 5*w - 10, -3*d = 4*w - 6*w + 8. Let y = w - 0. Let b = 0 - y. Solve -b = -r + 3*r for r.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -2\/5 in 13, 3\/5, -2?\nAnswer: 3\/5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 3920 is divided by 37?\nAnswer: 35","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*i - 6 = -x - i, 3 = -2*x + 3*i. Let t be 8\/4 - (3 - x). Let y be -1*t - (-3 + 1). Solve -4*c + 16 = -y*c for c.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 77 + -77.1. Put -3\/4, n, -5 in descending order.\nAnswer: n, -3\/4, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -6 divided by 12.\nAnswer: -1\/2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is 39871335419 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -709608219 - 10*k + 709608219.\nAnswer: -10*k","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((3 + (sqrt(720) - (1 + -1 + sqrt(720)) - sqrt(720)*-1*5) - (1 + sqrt(720) + -1 + sqrt(720) + -1 + sqrt(720) + 1)) + 5)**2.\nAnswer: 384*sqrt(5) + 2944","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is -1*(-5)\/24*6*(-9)\/(-15)?\nAnswer: 3\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -6*r + 89*r = 62*r - 756 for r.\nAnswer: -36","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth root of 134272 to the nearest integer?\nAnswer: 19","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 553.8 and -1103?\nAnswer: -610841.4","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: How many millimeters are there in 243.8338nm?\nAnswer: 0.0002438338","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -3*c**2*d**5 - 2*c**2*d - 4*c**2 + 411697*c*d**5 - 5411*c*d + 2*d wrt d?\nAnswer: -60*c**2*d**3 + 8233940*c*d**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 723674 or 723673?\nAnswer: 723674","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -32*i + 69 - 37 - 32 to u + d*i and give d.\nAnswer: -32","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*y = n + 1 + 8, 4*y = 4*n for y.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -5 + 2 + 0 + 0 + sqrt(75) + -5*(-1*sqrt(75) + 0)*2.\nAnswer: -3 + 55*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {i: 1, b: 2, j: 1, z: 5, n: 6}. What is prob of picking 1 z, 1 j, and 2 n?\nAnswer: 5\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (2\/4)\/(6\/60). Find the second derivative of 5*u + 0*u - 4*u + 0*u - u**j wrt u.\nAnswer: -20*u**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*p = -112 + 148. Let w(u) = 5*u**2 + 8*u + 7. Let c be w(p). Calculate the highest common factor of 20 and c.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 10357542841 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Does 71 divide 1579511798?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is -7c5 + -3?\nAnswer: -7c8","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is -166 - -166 - ((2 - (1 + 17)) + 0)?\nAnswer: 16","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Sort -4, 39, -70.\nAnswer: -70, -4, 39","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 11986 and 1673698?\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 81 - 21 = -4*k. Let q(v) = -15*v + 8*v**2 + 21*v**2 - 4 - 58*v**2 + 28*v**2. Let y be q(k). Sort y, 4, -5.\nAnswer: -5, y, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 33*v = 21*v + 2052. List the prime factors of v.\nAnswer: 3, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*g - 3369 + 3372 = 0 for g.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2105*i = 1020*i + 914*i - 2907 for i.\nAnswer: -17","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is 135 + -145465502?\nAnswer: -145465334","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*y + 2 + 46. Is (-2 + -594)*(-3)\/y composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 24292319 to the power of 1\/8, to the nearest integer?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let q(f) = -2 + 1 + 0 - 11*f. Let j be (-53 + 50)\/(-7 - (-6 - -2)). Calculate q(j).\nAnswer: -12","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 227*g*q**2 - 55946*g + 183*q wrt q?\nAnswer: 454*g*q + 183","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-13 + (-6 - -17))*47*2\/((-16)\/(-4)).\nAnswer: -47","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 687*h**3 + 807*h**2\/2 - 567*h\/2.\nAnswer: 3*h*(h + 1)*(458*h - 189)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 76263?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Convert -35 (base 9) to base 7.\nAnswer: -44","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (48\/(-20) + 2)*(-108858)\/(-20). Let b = 2179 + k. What is the common denominator of -61\/45 and b?\nAnswer: 225","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 28347?\nAnswer: 3, 11, 859","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 291.9999879 - 292. Round g to 6 decimal places.\nAnswer: -0.000012","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -606*m**3 - 1217*m**2 - 616*m - 5.\nAnswer: -(m + 1)**2*(606*m + 5)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between -0.5 and 54.34582650158?\nAnswer: 54.84582650158","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 21366 (base 11) in base 7?\nAnswer: 156343","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let b(a) = -2*a**2 - 2*a + 2. Let y be b(0). Let g(o) = 13 + y*o + 18 - 34. What is g(-4)?\nAnswer: -11","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((156\/9)\/(-26))\/(30\/9 + -3 + 0)?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (10 - 21) + (9 + -8 + 5 - 46) + -2.\nAnswer: -53","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -31 - -46. Calculate the remainder when 29 is divided by i.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is b4 - 54?\nAnswer: 60","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.006446 to three decimal places.\nAnswer: -0.006","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4 = w - 10. What is the greatest common divisor of 112 and w?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (-2 + -5)\/(0 - 1). Suppose -3*p - 116 = -q*p. Calculate the remainder when p is divided by 5.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b be 11\/22*(2 - 0) + -69. Let z = -66 - b. Factor -1\/6 + 1\/3*d**z - 1\/6*d**4 + 0*d**3 + 0*d.\nAnswer: -(d - 1)**2*(d + 1)**2\/6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2869967969.\nAnswer: 11, 443, 588953","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -11.9 + 16.9. Let b = -2914\/3 - -957. Let k = b + 14. What is the third smallest value in k, 2, d?\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: -13 - 18278\nAnswer: -18291","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is 2360 a multiple of 6?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let m(s) = -s**2 + s. Give m(5).\nAnswer: -20","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let b(p) = -42*p - 36. Suppose 5 = -0*n + n + 3*j, 2*j = 4*n + 8. Let k(m) = m + 1. What is n*b(w) - 36*k(w)?\nAnswer: 6*w","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1662*y - 291 = 1565*y for y.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: -64250 times -2119\nAnswer: 136145750","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 274 is divided by 55?\nAnswer: 54","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Factor -4*p**3 + 60*p**2 - 128*p - 192.\nAnswer: -4*(p - 12)*(p - 4)*(p + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let f(l) = l**3 + l**2. Suppose 0 = 3*d - 4*d + 2. Let r(k) = -6*k**d + 0*k**2 + 2 - 6*k**3 - 2*k**2. Give 8*f(s) + r(s).\nAnswer: 2*s**3 + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of 1268, 5037, 11318, 20111?\n\"Answer: 1256*x**2 + x + 11","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 7.7 - 8.56. What is the smallest value in o, -0.2, 3?\nAnswer: o","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*j + 4*j = 28. Let o be 2\/j - (-102)\/(-21). Are -1 and o equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(g) = -5*g**2 + g. Let j(s) = 8*s + 17. Let c be j(-9). Let t be 11\/(c\/(-10)) - 1. Determine a(t).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 12 - 5 - 7 + 24*q.\nAnswer: 24*q","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 1341*h**2*w - 758*h**2 - 2 with respect to w.\nAnswer: 1341*h**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in -0.27, 2\/9, 1216, -36?\nAnswer: -0.27","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let d be 34898\/4452 + 0 + 1. Let k = d + -2\/371. Find the common denominator of -73\/10 and k.\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 21.53 smaller than 2?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Are 2088154 and 2088161 non-equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let n(c) = -142*c. Let r(b) = -37*b. Determine r(n(d)).\nAnswer: 5254*d","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -230 - -233. Solve 5*r = -3*z + h*r + 11, 5*z + 5*r = 25 for z.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 11*k**2 - 1 - 233*k**3 + 4 + 7 + 231*k**3 in the form x*k**3 + r*k + l + b*k**2 and give l.\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 1858?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let j(r) = r**3 + 159*r**2 + 1470*r - 2980. What is j(-149)?\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -1 + 2 - (-4 - -3).\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let v(k) be the second derivative of k**5\/10 - k**4\/6 - k**3\/6 - k**2\/2 + 10*k. Let p(j) = -j - 1. Let u be p(-3). List the prime factors of v(u).\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -f**6 + 21075164*f**4*s + 11*f**2*s + f*s + 94984*f - 9*s wrt f.\nAnswer: -120*f**3 + 505803936*f*s","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 6271 is divided by 168.\nAnswer: 55","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -1058 - -1059.96. Which is the smallest value? (a) -5 (b) y (c) 0.1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: 0.1 times 111.8\nAnswer: 11.18","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Expand (38 - 6*y**2 - 38)*(0*y + 2*y + y)*(y**2 - y**2 - 2*y**2).\nAnswer: 36*y**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 61826008?\nAnswer: 2, 17, 454603","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-4 - (-12 + 10 + -1)) + -4?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of (-50576)\/(-10) - (-15)\/(-25).\nAnswer: 13, 389","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) 0.16 (b) -425 (c) 13 (d) 4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Convert -10646 (base 10) to base 8.\nAnswer: -24626","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -0.1 - 0.3. Let g = -0.48 + 0.28. Put g, 1, y in ascending order.\nAnswer: y, g, 1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -5*3\/(-3)*-1 + 11284 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:13 PM and 3:55 PM?\nAnswer: 102","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let k(b) = -2*b**2 - 12*b + 17. Let m be k(-7). Suppose -4*u + 312 = -f - m*f, -f = 0. Let a = u - 39. Is a a multiple of 5?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 94\/((-101990)\/28985)*(-4)\/(-22).\nAnswer: -34\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -1306, -1308, -1310?\nAnswer: -1312","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (v*v*v*(v\/(v\/(v**14*v)))\/v)**(-5\/6)\/(v*((v**(-36)\/v)\/v)\/v)**(-2\/79) assuming v is positive.\nAnswer: v**(-7171\/474)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 6261924 to the power of 1\/9, to the nearest integer?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Add 177 and -87560255723.\nAnswer: -87560255546","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Does 9 divide (5 - 7 - (0 - 1))*-22?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 1529*r**2 + 1515*r**2 - 3058*r**2.\nAnswer: -14*r**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from fffbffbf. Give prob of sequence bfbf.\nAnswer: 1\/28","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 6234778 is divided by 788?\nAnswer: 122","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 0 - (-2 - (-1 - -3))?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Sort 8, -3, 12, -5, -297, 1 in descending order.\nAnswer: 12, 8, 1, -3, -5, -297","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*u - 221 + 1616 = 0. What is the tens digit of u?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (3\/(-6))\/(4\/(-64)*2). Solve 2*n - 4 = 0, -y*n + 10 + 7 = 3*b for b.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 150124 is divided by 17.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.00007301 to 5 dps.\nAnswer: -0.00007","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let b(l) = -l**2 - 3*l + 88. Let v be b(-11). What is the tens digit of (0 - (-259 - v)) + (-8)\/4?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -2530, -2645, -2856, -3163, -3566, -4065?\nAnswer: -4660","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 7902?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is 1347094\/9 equal to 149676?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*q + l = -4, 2*l - 5 = -5*q - l for q.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Factor -4*l**3 - 156*l**2 + 2808*l - 8480.\nAnswer: -4*(l - 10)*(l - 4)*(l + 53)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let t(d) = 4*d**2 - 6*d - 1. Let i(v) = -7*v - 15. Let a be i(-4). Let n(m) = 0*m + 6 - a + 5*m - 3*m**2 + 8. Calculate -6*n(p) - 5*t(p).\nAnswer: -2*p**2 - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 256 and 224.\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose b = -4*d - 12, -b + 3 = 2*d + 7. Solve b*k = 5 - 21 for k.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0 in 2\/3, -1\/6, 332, 5?\nAnswer: -1\/6","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 14*y - 125 - y**3 + 70 + 16*y wrt y?\nAnswer: -3*y**2 + 30","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(f) = -14*f + 70. Let k be q(5). Suppose k = 18*h - 21*h + 12. Solve -15 = -h*c - x, 4*x + 21 = 5*c + 3*x for c.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(i) = -i**3 - 66*i**2 - 302*i + 259. What is w(-6)?\nAnswer: -89","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*w + 4 = 2*w. Which is the second smallest value? (a) w (b) -1 (c) 4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -5101 and 13?\nAnswer: -66313","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in 13, 2\/11, -0.1, 5?\nAnswer: 13","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 558 minutes before 8:22 AM?\nAnswer: 11:04 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is -2483 (base 16) in base 12?\nAnswer: -54ab","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*l - 15 = 0, -5*s - l - 265 = -s. Let m = s + 332. Is m a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -117346.32 rounded to the nearest one hundred?\nAnswer: -117300","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -198 - -160. Let g = 75\/2 + j. Let m be (-10)\/(-35) + 23\/(-7). What is the nearest to g in 2\/7, m, -2\/9?\nAnswer: -2\/9","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(v) be the third derivative of v**8\/1512 + v**7\/105 + v**6\/180 - 73*v**5\/270 + 8*v**4\/9 - 4*v**3\/3 - 3*v**2 - 3. Suppose p(o) = 0. What is o?\nAnswer: -6, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (89 - 67) + -22581023 + 1. What is o rounded to the nearest one hundred thousand?\nAnswer: -22600000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((((o**(1\/2)*o)\/o)\/o)\/o)**(-15)*(o**(3\/2)*o)\/(o**(-2\/7)\/o))**(-7\/2) assuming o is positive.\nAnswer: o**(-92)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is (278 + -1)\/(58\/290) a multiple of 42?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 117.1 + -114.1. Suppose -2*s + 0*s = 0. Which is the second biggest value? (a) -1\/12 (b) j (c) s\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1097879 is divided by 29.\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 32 and 888.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*m + 3*m - 12 = -4*k, -6 = -2*k - 2*m for k.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -3 + (((sqrt(128) - (3 + sqrt(128))) + sqrt(128))**2 - sqrt(128))*-2.\nAnswer: -277 + 112*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let x(i) = 192*i. Let h(y) = 2*y. Determine x(h(z)).\nAnswer: 384*z","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -865*p + 34 + 16 = -875*p. Let k = 0 - 3. What is the second smallest value in -0.2, 0.07, k, p?\nAnswer: k","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (1 - 1 - 1)*(-2*q + q + 2*q) - 4*q - 2*q + 4*q + (-6*q + 2*q + 2*q)*(0 + 0 + 2) + (2 - q - 2)*(18 - 14 - 19).\nAnswer: 8*q","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Find b, given that -6*b**5\/7 + 33618*b**4\/7 - 100584*b**3\/7 - 1209408*b**2\/7 - 153600*b = 0.\nAnswer: -4, -1, 0, 8, 5600","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: 2*((-15)\/10)\/(-3)\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -140871726*x**3 - 326640386*x wrt x?\nAnswer: -845230356*x","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 184 (base 15) in base 12?\nAnswer: 251","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let u(t) = 4*t + 10972. Let k be u(0). Suppose k - 58793 = -17*v. Is v prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(x) be the third derivative of -x**8\/448 + 3*x**7\/560 + 3*x**6\/320 - x**5\/80 + 586*x**2. Let z(c) = 0. Calculate c.\nAnswer: -1, 0, 1\/2, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(x) = -x + 3. Suppose -c - 42 = -2*j - 3*c, -41 = -j - 5*c. Suppose 2*b = -j + 6. Determine h(b).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*p - p = -3, 5683 = 2*x + 3*p. Is x a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 8867842484?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 19600 and 764792.\nAnswer: 392","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 93830*c**3*f + 3*c**2*f + 54009*c*f wrt c?\nAnswer: 562980*f","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: 2 * 0.121\nAnswer: 0.242","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let v(o) = 2*o. Suppose 3*w + w - 8 = 0. Let r = -7 + 7. Let p(a) = 3*a - w*a + r*a. Calculate p(v(l)).\nAnswer: 2*l","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let q(h) = h**2 - h + 12. Let x be q(0). Suppose -4*f + x = -j, -2*f - j + 6 = 2*j. What are the prime factors of f?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -s**5 + 262 - 140003*s**4 + 140003*s**4 + (-s**2 - 3*s**2 + 5*s**2)*(3*s**3 - 5*s**3 - s**3).\nAnswer: -4*s**5 + 262","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -18203 or 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 14 + 138. Which is greater: 1\/5 or u?\nAnswer: u","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 79527 a multiple of 49?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Are 1746 and 1740 nonequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 18 and 0.134.\nAnswer: 2.412","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Convert 1287a6 (base 11) to base 14.\nAnswer: 53848","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of 4097, 8280, 12555, 16964, 21549, 26352, 31415?\n\"Answer: 7*u**3 + 4*u**2 + 4122*u - 36","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {k: 1, x: 2, w: 2, e: 1, l: 1, n: 2}. Give prob of picking 1 x and 1 w.\nAnswer: 1\/9","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-24955)\/10695)\/(2*(-4)\/(-72))?\nAnswer: -21","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Round -5116040 to the nearest one million.\nAnswer: -5000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:44 PM and 7:46 AM?\nAnswer: 662","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3 = 5*u - d, 2 = -4*u + 3*d - 0. Let v be (-6)\/(-81)*6\/2. Which is the nearest to v? (a) 5 (b) u (c) -4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 69421 - 4998437\/72. Calculate the common denominator of -15\/2312 and n.\nAnswer: 20808","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 264 and 24?\nAnswer: 264","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -20 + 14. Let t be (-20)\/u + (-2)\/(-3). Suppose 0 = -5*a + a + 4*f + 8, -t*a + 8 = 5*f. List the prime factors of a.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((j\/(j*j**(20\/3)))\/(j\/(j**(10\/13)\/j))*(j**(-13\/3))**45)**(-11\/5) assuming j is positive.\nAnswer: j**(87043\/195)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 288559 to the nearest integer?\nAnswer: 537","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -30*c = 28*c + 870. Suppose -36 = 6*o - 3*o. Calculate the remainder when (-428)\/o + (c\/(-9))\/5 is divided by 13.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(r) be the third derivative of r**5\/60 + r**4\/8 - 37*r**3\/6 - 2355*r**2. Give z(-7).\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 12*u + 11*u = 35*u - 156. Calculate the highest common factor of u and 91.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let 3*t**4\/5 - 9*t**3\/5 - 192*t**2\/5 - 36*t = 0. What is t?\nAnswer: -6, -1, 0, 10","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is -41602.071 rounded to the nearest 100?\nAnswer: -41600","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is d in -d**4\/2 - 115*d**3\/2 - 1209*d**2 + 27520*d + 28672 = 0?\nAnswer: -64, -1, 14","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is -2 minus 0.756832?\nAnswer: -2.756832","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 543 minutes before 12:35 PM?\nAnswer: 3:32 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: (420\/78)\/(101\/((-8888)\/(-616)))\nAnswer: 10\/13","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 7 + -7. Suppose -4*d + 5*d - 10 = r. Is 8 a factor of d?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 23189 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 2.2524714 nanoseconds in hours?\nAnswer: 0.0000000000006256865","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let u(x) = -x**2 + 9*x + 26. Let n be u(12). Let r be -1 + (-5)\/n*6. Find the second derivative of 12*z**2 + 24*z**r + 25*z - 2*z**2 wrt z.\nAnswer: 68","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from ppaqaqpqqq. Give prob of picking 1 p and 1 q.\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*r = -2*f + 16, -r + f = 2*f - 5. Suppose -3*w - r*i + 3 = 0, 5*w - 2*i + 8 = 3*w. Is 7\/17 equal to w?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 212804316?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is 3965 < 116\/9?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 4138*u**2 + 3*u**3 - 4107*u**2 + 6*u**3 + 4*u**3 to o*u**2 + w + v*u + z*u**3 and give z.\nAnswer: 13","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-4*(6*2*sqrt(1216) + sqrt(1216))*2)**2 - (6*(sqrt(1216) + -1 + -5) + -2)**2.\nAnswer: 3648*sqrt(19) + 13107036","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: -279 divided by -236\nAnswer: 279\/236","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 4 + 3 + 3*sqrt(17).\nAnswer: 7 + 3*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*g - 127 = 51. Let l = -2148 - -2195. Calculate the remainder when g is divided by l.\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -75*f - 3*f = -137379 - 501909. What is the greatest common divisor of 12 and f?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 63581360?\nAnswer: 2, 5, 17, 46751","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 4726 is divided by 673?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1157488 is divided by 139?\nAnswer: 35","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let t(i) = i + 2. Let u(d) = d + 1. Let y(b) = t(b) - 2*u(b). Let n be y(0). Solve n = 3*p - 0*p for p.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) -0.3 (b) 0.3 (c) 1\/2 (d) -101\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred millions digit of 5228867260?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -4*(2 + 1 + (sqrt(11) + (sqrt(121)*2)\/sqrt(11) - (sqrt(1100) + -1)**2) + ((sqrt(275) + 0 + -2 - sqrt(275)) + sqrt(275) + sqrt(275))**2).\nAnswer: -24 + 68*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_test"},"subset":"dm_maths"} +{"text":"Question: Suppose 150*o = -15*o + 27390. What is the remainder when 1300 is divided by o?\nAnswer: 138","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*y - r - 12, 0 = -4*r + 2*r - 8. Suppose 3 - 11 = -y*c. Let j(m) = -c*m - 7 + 12 - 5. Let x(u) = -6*u. What is x(j(l))?\nAnswer: 24*l","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-930)\/31)\/((-50)\/(-75)).\nAnswer: -45","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 14 a factor of 80362?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (-2 + 1)\/(1\/(-2)). Let m = -7 + 11. Let s(j) = -4 + m*j - j**3 + 16 - 6*j - 11 + 3*j**2. Give s(y).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*o + 2*d + 22 = 0, -83*d = -2*o - 85*d + 30. Solve o*h + 114 = 62 for h.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -446 = -4*s + 5*t - 65, -4*s - 3*t + 373 = 0. What is the greatest common factor of s and 94?\nAnswer: 94","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7*l - 3*l - 8 = 0. Suppose z - 1 = -2*m, -l*z = -z - m - 13. Suppose h - 144 = -h. What is the highest common divisor of h and z?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 2\/(-8) + 3\/((-528)\/(-76))?\nAnswer: 2\/11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-1 + 1 + 3*s)*(-336*s - 259*s + 180*s) to the form z*s**2 + p*s + t and give z.\nAnswer: -1245","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of ((4434074\/(-141))\/(-43))\/((-1)\/(-57)).\nAnswer: 2, 19, 1097","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -300.93 + 301. Let f be (-9)\/54 - (-26)\/48. Which is the second biggest value? (a) f (b) n (c) 0\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 139 + -137. Let c(v) = 88*v + 29. Is c(x) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -922 - -632. Let w = f - -290. Which is the closest to 0? (a) -5\/6 (b) -0.1 (c) w (d) 2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -5 - -29\/5. Let x be (-2)\/6*30\/(-25). Find d, given that -x*d + p*d**2 + 0 = 0.\nAnswer: 0, 1\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 38522 times 5?\nAnswer: 192610","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve 123*l - 168 + 1244 = -31 for l.\nAnswer: -9","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 99*k - 9*k - 4*b - 652 = -46*k, -4*k - 12*b + 11*b = -27 for k.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*x**4\/3 + 2*x**3 - 28*x**2\/3 - 8*x + 80\/3.\nAnswer: 2*(x - 2)**2*(x + 2)*(x + 5)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 1726387 - 15537355\/9. Solve -64\/9*r - 4\/9*r**5 - 32\/3*r**3 + 0 - 32\/9*r**4 - u*r**2 = 0.\nAnswer: -2, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: 2a59 (base 11) to base 2\nAnswer: 111101100000","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 5*(0 + sqrt(117))**2 - -1*(sqrt(13)*5 + -2)**2.\nAnswer: -20*sqrt(13) + 914","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is (-130 - (4 + 6))*4\/(-8)*(-70)\/(-70)?\nAnswer: 70","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*v + 17 = y, 0 = -3*v + 4*y - 2 - 0. Suppose -12*s = -v*s - 6444. List the prime factors of s.\nAnswer: 2, 3, 179","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4870*w + 4869*w = c - 2, -28 = -5*w + c for w.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let y be ((-1*(11 + -3))\/(-1))\/2. What is the second derivative of -26*j + 8*j**4 - 6*j**4 - 4*j**y wrt j?\nAnswer: -24*j**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -179\/4080 and -79\/14076?\nAnswer: 281520","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*d = 2*i + 80, 13016*i = 13011*i + 4*d - 199 for i.\nAnswer: -39","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -1083 + 1083. Let r(j) be the first derivative of 0*j**4 + 2\/5*j**5 + 4*j + i*j**2 - 11 + 0*j**3. What is the first derivative of r(z) wrt z?\nAnswer: 8*z**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(1408)*4)\/sqrt(11).\nAnswer: 32*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is 4201 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is -2675932.19 rounded to the nearest 100000?\nAnswer: -2700000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of -66, -69, -82, -111, -162, -241?\n\"Answer: -q**3 + q**2 + q - 67","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 6026195260 to the nearest integer?\nAnswer: 77629","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 2704 + -2706.957. Let o = f + -18.933. What is o rounded to zero decimal places?\nAnswer: -22","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -c + 2, -8 = 3*m + 5*c + 31 - 4 for m.\nAnswer: -15","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 22*l = 154736 - 154538 for l.\nAnswer: 9","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-5*(sqrt(1331) - (sqrt(1331) - -4*sqrt(1331)*-1)) + 5)**2 - ((-2 + sqrt(1331) + 1)**2 - (-2 + sqrt(1331))**2*-3).\nAnswer: -2046*sqrt(11) + 527088","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -4892\/15 + 326. Let f be 6\/21 + (-18)\/14. Which is smaller: f or h?\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -0.1? (a) 5 (b) -2\/25 (c) -173\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Expand (37 - 35 + 27 + 29)*(-3*o - 2 - o + 5*o).\nAnswer: 58*o - 116","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (-153)\/6*(-2 - -4). Let y be (1 - t) + (3 - 2). Let v = y + -22. What is the units digit of v?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 137*z + z**2 - 273*z + 4 + 137*z + 3*z**3 + z**2 to the form y*z + a + t*z**3 + d*z**2 and give d.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 12 + (-1 - 4) + -2 - 12.\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 77067504 and 9.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 1.5 and 9.3?\nAnswer: 13.95","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1161375 is divided by 186.\nAnswer: 177","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 78469 and 13609879?\nAnswer: 599","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -19, -32, -41, -46?\nAnswer: -47","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 65*h**2 - 50*h**3 + 94 - 14 + 0*h**4 + 100 + 300*h + 5*h**4 = 0.\nAnswer: -1, 6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(b) = -7*b**2 - 13*b. Let u(w) = 3*w**2 + 6*w. Give 2*a(y) + 5*u(y).\nAnswer: y**2 + 4*y","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 1\/4 in 3, -1\/2, -2\/25, 2\/1291, -5?\nAnswer: 2\/1291","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Divide 19 by -2185155.\nAnswer: -19\/2185155","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: How many grams are there in 25\/2 of a kilogram?\nAnswer: 12500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let t(k) = 2*k**2. Let v(r) be the third derivative of 55*r**4\/24 - r**3\/6 - 4196*r**2. Give v(t(j)).\nAnswer: 110*j**2 - 1","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.0000041127 rounded to 7 decimal places?\nAnswer: -0.0000041","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 11 and 6243831.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Are -3177 and -3177 non-equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 1740 and 87?\nAnswer: 87","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Convert 996816.3ml to litres.\nAnswer: 996.8163","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -f + 2*s - 14, s = 3746*f - 3743*f + 22 for f.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 3\/5 in 790, -0.05, -3?\nAnswer: -0.05","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (v**(-14))**(-23)\/(v\/(v*v\/(v*v**(-10\/3)))*v*v*v**(-12)) assuming v is positive.\nAnswer: v**(1006\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 10483843 divided by -1.\nAnswer: -10483843","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*s - 10 - 14. Does 2 divide s?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 50\/(-15)*(-624)\/130.\nAnswer: 16","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 17209*g - 15888*g = 166446 for g.\nAnswer: 126","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let v(m) = 22*m - 471. Calculate the remainder when 263 is divided by v(25).\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -r - 3 - 3. Calculate the common denominator of ((-39)\/(-24))\/(-11 + 9) and (r\/(-35))\/((-4)\/75).\nAnswer: 112","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 7044598 is divided by 25?\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (6\/(-6))\/((-2)\/22). Let k = q + 3. What are the prime factors of k?\nAnswer: 2, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(t) = 50*t**2 + 53*t - 56. What is the remainder when a(9) is divided by 71?\nAnswer: 69","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find s such that 4*s**2 - 27899588*s + 195296920 = 0.\nAnswer: 7, 6974890","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve 69*v - 60*v - 297 = 0 for v.\nAnswer: 33","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let u(m) = 12*m**3 - 4777*m**2 - 4416*m + 10777. Give u(399).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {x: 5, o: 1, n: 3, c: 1, w: 2}. What is prob of sequence wxn?\nAnswer: 1\/44","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 6384 and 73416?\nAnswer: 146832","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -0.1? (a) 2\/51 (b) -1 (c) -0.5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) 3 (b) -0.4 (c) -2 (d) 2\/11\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let s(v) = -19. Let r(y) = 1716*y - 1140. Give -r(a) + 60*s(a).\nAnswer: -1716*a","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let y(s) be the second derivative of s**3 + s**2 + 35*s. Let d(m) = 3*m + 1. Give 5*d(f) - 3*y(f).\nAnswer: -3*f - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -2 in 3, -34, -0.5?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*d = -3*c - 83, -12*d - c - 33 = -14*d. What is the smallest common multiple of 8 and d?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -2 - (-4 + 4) - -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in 1\/11, -3, 2?\nAnswer: 1\/11","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*j + 2 = 14. Let x = j + 5. Let i(k) = 2 - x*k**2 + 3*k**3 + 2*k + 4*k**2 - 2*k**3. Determine i(-2).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 462249641 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 9*w**2 - 378 + 17 + 370 to the form y*w**2 + p*w + x and give y.\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Work out 515 - 32.\nAnswer: 483","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: (-2685)\/135 + (-231)\/(-11)\nAnswer: 10\/9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -0.04 + 2.54. Let k = r + -2. Let d = -0.1 + -0.3. Which is the nearest to 1? (a) d (b) 3\/8 (c) k\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q be 3133\/39 + 2\/(-6). Let v = q - 22. What is the remainder when v is divided by 21?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*n - 41*x + 29*x - 18 = 0, -4 = n + x for n.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let v(r) = 3*r**3 + r + 2. Give v(-2).\nAnswer: -24","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 83 - 35. List the prime factors of x.\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(k) = 3*k - 6. Let h be q(4). Calculate the highest common factor of 18 and h.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 6074535.\nAnswer: 3, 5, 404969","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {y: 4, j: 7, c: 5}. What is prob of picking 2 c, 1 y, and 1 j?\nAnswer: 2\/13","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 12 divided by 51?\nAnswer: 4\/17","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 14 + 3780\/(-240)*4\/12*-8.\nAnswer: 56","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 421208 (base 12) to base 13.\nAnswer: 2a4ab7","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence yazm when four letters picked without replacement from zzzamqmyqsymzzz.\nAnswer: 1\/910","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 11 - 6. Suppose -121 = i*w - 846. Is w composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {q: 5, s: 4, z: 2}. Give prob of sequence szq.\nAnswer: 4\/99","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -14*b - 326 + 438 for b.\nAnswer: 8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let m(x) = -3*x - 8. Let w(k) = 2. Let c(q) = m(q) + 3*w(q). Let d(g) = -7*g - 5. Let b(r) = -5*c(r) + 2*d(r). Let i(f) = -11*f + 3. Determine i(b(t)).\nAnswer: -11*t + 3","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 112 - (160 - (194 + -96)).\nAnswer: 50","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: ((-496)\/(-372))\/((-1936)\/(-33))\nAnswer: 1\/44","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*i + 43 = 3. Suppose 29 = y + 4*q - 2, -3*y + q + 28 = 0. Suppose -112 = -y*k + 4*k. Calculate the smallest common multiple of k and i.\nAnswer: 80","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 1345305?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is 39699799 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 72.393672 + -16.393745. Let b = r - 56. What is b rounded to 5 decimal places?\nAnswer: -0.00007","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of -59, -110, -157, -200?\n\"Answer: 2*p**2 - 57*p - 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((c**(-5)\/c**(-1\/10)*(c\/(c\/c**2))\/c**(-12))**38)**3 assuming c is positive.\nAnswer: c**(5187\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let b(t) = 10*t + 7. Let s(z) = 7*z + 5. Let y(m) = 5*b(m) - 7*s(m). Suppose 12*o = 7*o + 10. Let n(j) = j**3 - 3*j**2 + j. Let q(p) = o*y(p) + n(p). Give q(2).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-2 + (sqrt(133)\/sqrt(7)*-6 - (-3*sqrt(228) + sqrt(228))\/sqrt(12))*-1)*-5.\nAnswer: -20*sqrt(19) + 10","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let l(z) be the third derivative of z**8\/168 - 55*z**5\/12 - 3*z**4\/8 + 65*z**3\/6 - 2*z**2 + 255*z. What is the second derivative of l(u) wrt u?\nAnswer: 40*u**3 - 550","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.2 - 44782403328?\nAnswer: -44782403328.2","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_test"},"subset":"dm_maths"} +{"text":"Question: Solve -522 = 206*z - 148*z for z.\nAnswer: -9","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {k: 1, c: 3, f: 4, r: 1, u: 4}. What is prob of sequence ck?\nAnswer: 1\/52","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is -66.0871 less than 73?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 35855 is divided by 2223.\nAnswer: 287","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is -1542103130 - 3?\nAnswer: -1542103133","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let q(b) = -b**3 - 3*b**2 + 4*b + 2. Let t be q(-4). Which is smaller: -5 or t?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -156537, -156435, -156333, -156231, -156129?\nAnswer: -156027","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1805477732?\nAnswer: 2, 451369433","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.05557 rounded to 2 dps?\nAnswer: 0.06","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is 7 a factor of 2923641?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -968 + 15483\/16. Let x be (-2)\/(-18)*((-24)\/20)\/((-10)\/(-25)). Which is the second smallest value? (a) -0.2 (b) z (c) x\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) 1\/6 (b) 71.2037 (c) 388\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0? (a) -4 (b) 0.0447 (c) 0.1 (d) 2 (e) -5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 10 (base 5) in base 15?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Determine u, given that -2*u**3 + 632*u**2 - 57754*u + 1633996 = 0.\nAnswer: 67, 182","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -38 - -52.4. Let x = -16 + y. Let o = -1.1 - x. Which is the smallest value? (a) -2 (b) o (c) -0.2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: -0.0059 * 96886\nAnswer: -571.6274","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 1? (a) -79 (b) 0 (c) 2\/7\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -1100508 and -12?\nAnswer: 13206096","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Factor 3*w**3 + 27*w**2 - 1344*w + 7056.\nAnswer: 3*(w - 12)*(w - 7)*(w + 28)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve 8*z - 3*z + 3*r - 18 = 0, -5*z + 2*r + 13 = 0 for z.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: 79 + -13 + -96 + 57\nAnswer: 27","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let w(c) be the first derivative of -3 - 4\/3*c**3 + 2\/5*c**5 + 0*c**4 + 2*c + 0*c**2. Factor w(g).\nAnswer: 2*(g - 1)**2*(g + 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(f) = 3*f**3 - 9*f**2 - 30*f + 286. Let k(w) = 2*w**3 - 5*w**2 - 16*w + 142. Let u(b) = -7*k(b) + 4*l(b). What is the least common multiple of 45 and u(0)?\nAnswer: 450","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: 71427 (base 8) to base 5\nAnswer: 1420323","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -0.0247 - -17.0247. Sort j, 0.5, 5.\nAnswer: 0.5, 5, j","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 6 - (-1 + (-2 - 0 - 8) + 4).\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let i(k) = -3*k**2 + 5*k + 2. Let x be i(-3). Let j be (-1456)\/x - 4\/10. Let c be -1 + j\/10 + (-3)\/5. Put -2\/11, -0.1, c, -1\/5 in descending order.\nAnswer: c, -0.1, -2\/11, -1\/5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -h - 4*k + 55 = 4*h, 21 = -2*h + 7*k. Solve -h*a = -53 + 18 for a.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -38*c**2*r**4 + 5258*c**2*r**2 + 22*c*r**4 - 97*r**4 - 10*r**2 wrt r.\nAnswer: -912*c**2*r + 528*c*r - 2328*r","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-2*sqrt(190)*4)\/(sqrt(480)\/sqrt(3)) + (-4*sqrt(133)*-1)\/(1*sqrt(7)*-6))**2.\nAnswer: 1216\/9","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: 203 (base 9) to base 6\nAnswer: 433","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let y be 5*((-12)\/10)\/2. Let f(o) = -o**3 - o**2 - 2*o. Let j be f(y). Suppose -j = -4*g + 2*g. Calculate the highest common factor of g and 8.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(x) = -x - 5. Let k be v(-5). Let f = k + 1. Suppose 2*c + 3 = -f. Let l(d) = 3*d**2 + 2*d - 2. Give l(c).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 3239, 3236, 3233, 3230, 3227, 3224?\nAnswer: 3221","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Sort 29, -18, 0.\nAnswer: -18, 0, 29","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Sort -0.1, -0.5, -0.03, -3\/7, 256 in decreasing order.\nAnswer: 256, -0.03, -0.1, -3\/7, -0.5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -91 - -42. Suppose 5*f - 6*l - 20 = -5*l, 20 = f + 3*l. Let x = f - z. Is x a multiple of 6?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1054700 rounded to the nearest 100000?\nAnswer: 1100000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let c(j) = 14*j**3 + 3*j**2 + 1. Let k(d) = 17*d - 34*d + 25*d**2 - 29*d**3 - 3 - 32*d**2 + 17*d. Determine 7*c(f) + 3*k(f).\nAnswer: 11*f**3 - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (-2)\/5 + (-48)\/(-20). Let f(a) = 0*a + 8 - p*a - a + 2*a. Determine f(4).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: 160a (base 14) to base 13\nAnswer: 1a34","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of 51529, 102870, 154211, 205552, 256893, 308234?\n\"Answer: 51341*s + 188","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 5490738257 to the nearest integer?\nAnswer: 1764","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -51099956*b**2 - 10*b + 1757506.\nAnswer: -102199912","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 4093108 is divided by 890?\nAnswer: 888","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is 71 + -12?\nAnswer: 59","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 7926755?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -7853, -12606, -17361, -22118, -26877?\nAnswer: -31638","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*f + 19 = -2*a, -2*f - 6*a - 4 = -a. Let x = -12 - f. Let b be 0 - 9\/x - 1. Is b at most -6?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Subtract 2315 from 0.4883.\nAnswer: -2314.5117","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let y(q) = -7*q**3 + 7*q**2 - 4. Let k(t) = -173*t - 3119. Let v be k(-18). Let h(a) = a**3 + a**2 - 1. Calculate v*h(b) + y(b).\nAnswer: -12*b**3 + 2*b**2 + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 25926343\/295 + -87886. What is the common denominator of t and 54\/1475?\nAnswer: 1475","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 127\/2508 and 107\/27522?\nAnswer: 1045836","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Sort 18, -8, -9, -9\/8 in descending order.\nAnswer: 18, -9\/8, -8, -9","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 47 - 35. Let k be (-32)\/h*(-3)\/4. Solve k - 4 = n for n.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (55\/((-6325)\/276))\/(638\/725)?\nAnswer: -30\/11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of -141, -365, -727, -1227?\n\"Answer: -69*q**2 - 17*q - 55","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -f + 8580 = 2*j - 18686, -4*j + 2*f + 54556 = 0. Does 7 divide j?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of (-18)\/54*(-246)\/28 and 137\/48?\nAnswer: 336","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 1667*j - 1671*j + 72 = 0. Suppose -2*u + 138 = -0*u. What is the remainder when u is divided by j?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (c*c**(-2\/7)\/c*c)**(-34)*(c*(c*c**(-1\/20))\/c*c)\/(c\/(c\/(c*c**(-1\/14)*c)*c)*c) assuming c is positive.\nAnswer: c**(-3397\/140)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 4015963 is divided by 5941.\nAnswer: 5788","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Convert 5 (base 13) to base 4.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let p(w) = w**2 - 5*w + 2. Let t be p(6). Let s be (t - (3 + -2)) + 2. Let k = -5 + s. Solve 4 = -k*g + 2*f + 14, -5*f = -3*g + 4 for g.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(c) = c**2 + 11*c + 58. Let r be b(-5). Suppose 85 = r*o - 83. Solve 0 = o*k - k + 25 for k.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -0.07, 4, -18 in ascending order.\nAnswer: -18, -0.07, 4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let v(n) = -n. Let a(w) = 12*w**2 + 7*w**2 + 19*w**2 - 6*w**2. Give v(a(d)).\nAnswer: -32*d**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(102) + (sqrt(102) - (sqrt(102) + (-3*(1*sqrt(102) + sqrt(102)) + sqrt(102) - sqrt(102)))))\/((sqrt(24) - sqrt(6))*2)*6.\nAnswer: 21*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: 60 (base 11) to base 12\nAnswer: 56","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:31 AM and 10:39 AM?\nAnswer: 488","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve -x + 67 = 63 for x.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 0 + -29154?\nAnswer: -29154","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Round -126565.95 to the nearest 1000.\nAnswer: -127000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: How many micrometers are there in 7\/2 of a centimeter?\nAnswer: 35000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 0 - 0. Suppose -n + 3 = -u. Let r be 3\/(3\/(-14)*7\/(-2)). Solve r = -n*d + d for d.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -1227099636.7 rounded to the nearest 100000?\nAnswer: -1227100000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -20126 = -5*t - 4491. Is t a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(n) = 4*n**3 + 7*n**2 - 5*n + 5. Suppose -15 = -6*a + 3. Let m = 7 + -5. Let i = m + a. Let p(d) = -6*d**3 - 10*d**2 + 7*d - 7. Give i*p(j) + 7*o(j).\nAnswer: -2*j**3 - j**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*o = 4*z - 10 - 8, -5*z - 3*o = -9. Suppose 9 = 2*f - 19. Suppose 2*p - d - d = -4, -4*p + 3*d - 6 = 0. Solve -z*y + f + 1 = p for y.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(n) = -2*n - 5. Let d(r) = -6 + 0 + 2 - 2*r. Give 7*d(z) - 6*g(z).\nAnswer: -2*z + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 121756*x**2 - 60887*x**2 - 60893*x**2.\nAnswer: -24*x**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 117\/50 and 66\/65?\nAnswer: 650","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2 + 2 = 2*f, 5*x - 5*f - 10820 = 0. What is the thousands digit of x?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -206216*i**6 - 139*i**2 + 285*i?\nAnswer: -24745920*i**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Sort 8, 2, -3, 30, 2985 in ascending order.\nAnswer: -3, 2, 8, 30, 2985","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let b(j) = -2*j**3 + 7*j**2 + j - 4. Let f be 136\/56 - 8\/(-14). Determine b(f).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*c = 4*p - 82, 30 + 80 = 5*p + 5*c. Suppose 43*n - 77 - 9 = 0. Factor -15*v**n + 6*v + p*v + 3*v**3 - 3*v - 12.\nAnswer: 3*(v - 2)**2*(v - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 121682, 243362, 365042?\nAnswer: 486722","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.3898791 millennia in decades?\nAnswer: 38.98791","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is -2\/765707 > 0?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (-6)\/(-9) + 6392\/36. Let d = q - 178. Is 0 at least as big as d?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the sixth biggest value? (a) -12.1 (b) -101 (c) -0.2 (d) 5\/3 (e) 5 (f) 0.4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-3)\/14)\/((-39149)\/(-24913)).\nAnswer: -3\/22","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (v*v**(-6))\/((v**(2\/3)*v)\/v*v*v) assuming v is positive.\nAnswer: v**(-23\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 59255?\nAnswer: 5, 7, 1693","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 124510514 and 116?\nAnswer: 58","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let l(h) be the first derivative of h**6\/8 + h**5\/12 + 7*h**4\/8 + h**3\/3 + 8. Let g(w) be the third derivative of l(w). Is g(-4) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(n) = -2*n**3 - 11*n**2 - 4*n + 5. Let s be y(-5). Solve -4 = l - s for l.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 3.96 + 0.2. Let n = i - 0.56. Let q = n + 21.6. Round q to the nearest ten.\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 495 + -498. Let y(s) = -10 - 3*s**3 + 5*s + 1 + 3*s. Let j(u) = u**3 - 3*u + 3. Let z be 1 + (-1 - 9) + (-11)\/(-11). What is i*y(p) + z*j(p)?\nAnswer: p**3 + 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -7 - -49. Let z = -41.945 - 0.155. Let v = g + z. Which is smaller: v or -58?\nAnswer: -58","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1982 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: 128\/(-24)*10\/(-35)*((-35)\/56)\/5\nAnswer: -4\/21","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 571260.\nAnswer: 2, 3, 5, 9521","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let m be -3 - -2 - -1 - -5. Let u = 18 - m. What is the tens digit of u?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -42.2 times -3?\nAnswer: 126.6","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from yymmmmmmyyymy. Give prob of sequence ymm.\nAnswer: 21\/143","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let k(c) be the first derivative of -3*c**6\/2 - 3*c**2 - 10. What is the second derivative of k(j) wrt j?\nAnswer: -180*j**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -68270, -136437, -204604?\nAnswer: -272771","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*p = -76 + 251. Find the second derivative of t + 6*t + 35 - p + 7*t**2 wrt t.\nAnswer: 14","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -5*c**2\/4 - 6763775*c\/2 - 9149730450125\/4.\nAnswer: -5*(c + 1352755)**2\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((a**(-5\/4)\/a*a)\/a)**(-47) assuming a is positive.\nAnswer: a**(423\/4)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_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: Suppose -39*b = -34*b - 90. What is the lowest common multiple of 47 and b?\nAnswer: 846","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:30 PM and 9:09 PM?\nAnswer: 39","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 144\/64*14\/(-315).\nAnswer: -1\/10","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(h) be the second derivative of h**7\/70 + h**4\/6 - 2*h**2 + 2*h. Let n(p) be the first derivative of i(p). Find the second derivative of n(j) wrt j.\nAnswer: 36*j**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is -491 - -19b05?\nAnswer: 19634","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 1656970, 3313779, 4970590, 6627403, 8284218, 9941035?\nAnswer: 11597854","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let v be -24*1\/((-4)\/(-2)). Let x(j) = -j**3 - 18*j**2 - j - 26. Let f be x(-18). Let a = f - v. What is the units digit of a?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -1 + 2 + -1 + 17 - (548 + -543).\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let p(l) be the first derivative of l**3 + 3*l**2 + 6*l + 7. Calculate p(-1).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1.3068075 rounded to three dps?\nAnswer: 1.307","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let t(i) = i**3 - 31*i**2 - 42*i - 14. Determine t(-3).\nAnswer: -194","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of 383, 452, 567, 728, 935?\n\"Answer: 23*x**2 + 360","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1127 is divided by 228.\nAnswer: 215","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the seventh root of 358322 to the nearest integer?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Convert -2104 (base 5) to base 9.\nAnswer: -340","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Does 35 divide 1335915?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let d be 5467 + ((-105)\/18 - (-45)\/54). Let r = -1555 + d. Is r a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*c = r + 3*c + 4, -4*r = 5*c + 30. Let o(p) = -p + 11. Let m be o(r). Which is greater: 19 or m?\nAnswer: m","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -156 + 172. Solve 5*d - b - 4 = 5*n, 4*d - 20 = 0 for n.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 506 divide 201560?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Convert -228 (base 9) to base 6.\nAnswer: -512","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let u be ((-20)\/8 + 3)*10. Let m = -146 + 171. Suppose m = u*q - 10. What is the second biggest value in q, 5, -2?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 4 + (-3 - -5)*60?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 r and 2 i when three letters picked without replacement from {q: 2, i: 2, r: 1, n: 1, k: 1}?\nAnswer: 1\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -66*h + 15*h**2 - 30*h - 58*h + 69*h.\nAnswer: 15*h**2 - 85*h","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve 159*a - 814*a - 744*a - 895*a + 77996 = 0 for a.\nAnswer: 34","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is 167020853 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 82*t**3 - 4*t**2 - 3366*t wrt t.\nAnswer: 492*t - 8","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (q**(2\/7))**(3\/5)\/(q**(-2\/7)*q**3\/q)*(q\/q**1)**(-2\/9)*q\/(q\/q**(-3\/2))*q*q*q**(-2) assuming q is positive.\nAnswer: q**(-213\/70)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.000073135 to five dps.\nAnswer: 0.00007","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 8.18 + -5.18. What is the second biggest value in -27, -0.1, -2, x?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is 8b51 + 1a4?\nAnswer: 8d05","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let d(m) = -16063*m**2 + 45*m - 17. Let s(q) = -5352*q**2 + 16*q - 6. Calculate -6*d(b) + 17*s(b).\nAnswer: 5394*b**2 + 2*b","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Sort -8, -1377, -3, -41, -4, -49.\nAnswer: -1377, -49, -41, -8, -4, -3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 639 minutes before 4:06 AM?\nAnswer: 5:27 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let y be 1\/(2\/(-6)*(-15)\/445). Let p = -89 + y. What is the closest to -0.1 in -1\/4, p, -2?\nAnswer: p","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is 10138 - 6700?\nAnswer: 3438","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 22 - -34. Let t be 18\/(-4)*v\/(-12). Suppose -d + b = -0*d - t, -5*b - 87 = -4*d. Does 11 divide d?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -63 = 3*t - 0*t + 5*x, -5*t - 5*x - 105 = 0. Let u = -13 - t. Solve 2*v + v + 2*z - u = 0, 9 = 2*v + 5*z for v.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(c) = -c**2 - 1. Let b(z) = 66*z**2 + 55. Let a(k) = -4*b(k) - 220*i(k). Let j(x) = 2*x. Determine a(j(v)).\nAnswer: -176*v**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 12 and -0.403788?\nAnswer: -4.845456","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 l and 2 y when four letters picked without replacement from {l: 6, e: 2, a: 1, y: 3}?\nAnswer: 1\/11","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*q + 3 - 11. Let m(c) = -c**3 - 6*c**2 - 2*c + 15. Let k be m(-5). Suppose 0 = -q*s - k*s. Let p(w) = -w**2 - w - 9. Determine p(s).\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -102 + 194. List the prime factors of y.\nAnswer: 2, 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 4 divided by 8581?\nAnswer: 4\/8581","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -1596*c**3*u**4 - 39*c**3*u**2 - 44834*c**2*u**4 + 2649*c**2*u**2 + 10*c*u**2 - 5 wrt u?\nAnswer: -38304*c**3*u - 1076016*c**2*u","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 11955522 to the power of 1\/3, to the nearest integer?\nAnswer: 229","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 12237448?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -11\/6 - -13\/6. Which is the second smallest value? (a) -1 (b) -0.3 (c) g\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(r) be the third derivative of -r**5\/60 + r**2. Let w(x) be the second derivative of -37*x - 7\/6*x**3 + 0 + 0*x**2. Give w(t(q)).\nAnswer: 7*q**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let t(o) = 2*o - 8. Let d be t(7). Let g(m) = -m**3 + 5*m**2 + 8*m - 8. Let s be g(d). Sort s, -2, -4 in ascending order.\nAnswer: -4, -2, s","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 3984 - 2240. What are the prime factors of k?\nAnswer: 2, 109","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 81731.3 weeks in hours?\nAnswer: 13730858.4","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 114454429003 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let l(s) = s**2 - 36*s - 1769. Let q be l(64). Do q and 0.159 have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 12202.50552 rounded to one dp?\nAnswer: 12202.5","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 37 - 112\/3. Let b = 0.3 + -0.5. Sort 4, n, b, -4 in increasing order.\nAnswer: -4, n, b, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -209*p - 55 = -198*p. Let z(m) = -183*m - 157. List the prime factors of z(p).\nAnswer: 2, 379","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -32*q = -30*q + 120. Let t = q - -65. What is the remainder when (-135)\/(-4) + 1\/4 is divided by t?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*y + 3 + 5. Let k be (2\/15)\/((-16)\/(-132)). Let j = k + -1\/2. Which is bigger: y or j?\nAnswer: y","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -9257, -18534, -27823, -37124, -46437?\nAnswer: -55762","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let c(s) = -778*s + 2. Let g(l) = 4*l**2. Calculate c(g(f)).\nAnswer: -3112*f**2 + 2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*l + 0*l - 28 = 0. Suppose 3*h = -2*m + l*m - 33, -4*h + 2 = m. Let w(a) = -a**2 + 11*a - 4. Calculate the remainder when 76 is divided by w(m).\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((((-630)\/(-60))\/7)\/(15\/(-5)))\/(-8).\nAnswer: 1\/16","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -10243.2 - -10243. Which is bigger: c or 2503?\nAnswer: 2503","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find w such that 2*w**5\/5 - 103124*w**4\/5 + 1329113628*w**3\/5 + 5319239176*w**2\/5 - 2925081350*w + 7977157068\/5 = 0.\nAnswer: -6, 1, 25783","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 14333.\nAnswer: 11, 1303","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -10464 = -4*f + 3*s, 0 = f - 2*f + 3*s + 2607. What is the tens digit of f?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(n) be the third derivative of -n**6\/120 - n**5\/6 + n**3\/3 - 4*n**2. Let k be s(-6). Let p = 242 + k. Round p to the nearest one hundred.\nAnswer: 100","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Total of 335 and -0.1562.\nAnswer: 334.8438","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 1496 and 176.\nAnswer: 88","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -421*u**6 + u**2 - 1070.\nAnswer: -50520*u**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (1 + 11 + 5)*(3*c + 3*c - 7*c) to x*c + s and give x.\nAnswer: -17","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(70)*1*-2)\/(sqrt(1210)*-2) - (6*sqrt(252) - (sqrt(7) + -1*sqrt(448))**2).\nAnswer: -395*sqrt(7)\/11 + 343","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 2 - -1. Let h = -176 - -168. Calculate the remainder when (h*(-1)\/10)\/((-2)\/(-20)) is divided by k.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -7, -89, -305, -721, -1403, -2417?\nAnswer: -3829","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let c(w) = -8*w + 146. Let k be c(69). Put k, -5, 1, -3 in decreasing order.\nAnswer: 1, -3, -5, k","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence kkk when three letters picked without replacement from kxkkkkkkkkkkkxkx?\nAnswer: 143\/280","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 127097108?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*x - q + 104 + 80, -4*q = 5*x - 219. Suppose 16 = 2*t + x*s - 42*s, -8 = -4*s. Factor 21\/4*v**4 + 3\/4*v - 9\/4*v**5 - 5\/2*v**t + 1\/4 - 3\/2*v**2.\nAnswer: -(v - 1)**3*(3*v + 1)**2\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of 62085, 124164, 186231, 248280, 310305, 372300, 434259?\n\"Answer: -h**3 + 62086*h","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (-66)\/(-165)*(-790)\/2. Let l = h - -192. Is l less than 34?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(g) = -2. Let c(p) = p - 9. Give -9*a(m) + 2*c(m).\nAnswer: 2*m","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (9 - 17) + -12 - (-6 - (-4 + 2)).\nAnswer: -16","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of -17, -509, -1027, -1565, -2117?\n\"Answer: r**3 - 19*r**2 - 442*r + 443","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -16*w + w + 105 = 0. Let k(q) = -47 - w*q**2 - 16*q + 51 + 21*q + q**3. Calculate k(6).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: -10101 (base 2) to base 3\nAnswer: -210","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Expand -3*s - 6 + 4 + 3 + (s - 2 + 2 + 2)*(-7 - 1 + 1) - 4*s + 8*s - s.\nAnswer: -7*s - 13","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify f**(-5)\/(f**(-15)\/f) assuming f is positive.\nAnswer: f**11","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:47 PM and 6:03 PM?\nAnswer: 136","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {t: 3, v: 5, z: 1}. Give prob of picking 1 z and 2 v.\nAnswer: 5\/42","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 7778 is divided by 791.\nAnswer: 659","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 6235019?\nAnswer: 7, 890717","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 1111 and 8?\nAnswer: 8888","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -3734, -3739, -3756, -3791, -3850?\nAnswer: -3939","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*k = -8*k. Suppose k*t = 3*t. Suppose -a + 5 + 2 = u, -2*u = a - 12. Sort t, a, -2 in descending order.\nAnswer: a, t, -2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is 0 - -851?\nAnswer: 851","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from kkcckccckckcc. Give prob of picking 3 c.\nAnswer: 28\/143","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (-4)\/(-3)*45\/(-2). Let a = -18 - w. What is the units digit of a?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 4*u**2 - 133512324*u - 400537008.\nAnswer: 4*(u - 33378084)*(u + 3)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:29 AM and 6:06 PM?\nAnswer: 577","meta":{"dup_signals":{},"source":"measurement__time_test"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 6060 is divided by 289.\nAnswer: 280","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*h - 1232 = 2288. Calculate the lowest common multiple of h and 6.\nAnswer: 2112","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*z - 8 = l - 0, -z + 2 = -l. Solve l = 5*k - k for k.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 861?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 36\/108*9\/(-6).\nAnswer: -1\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 7\/2 of a millisecond in microseconds?\nAnswer: 3500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 306*v - 424586 = -93188. What is the remainder when v is divided by 7?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 972628102?\nAnswer: 2, 37, 131, 100333","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Product of -2 and -41.\nAnswer: 82","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 65357?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 581091 divided by 1407.\nAnswer: 413","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0*c - c - c)*(-1 - 2 + 0)*(-148*c**4 + 288*c**4 - 144*c**4) - 8*c**3 + 8*c**3 - c**5.\nAnswer: -25*c**5","meta":{"dup_signals":{},"source":"polynomials__expand_test"},"subset":"dm_maths"} +{"text":"Question: Suppose 8*j - 4*j = 224. What is the common denominator of (2\/(-7))\/((-32)\/j) and ((-2145)\/36)\/(-13) + -2?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -3*c**2 - 5*c**2 - 10*c + 5*c**3 + 3*c**2.\nAnswer: 5*c*(c - 2)*(c + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tenth root of 52794070 to the nearest integer?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -5.08287 + 0.08287. Which is the smallest value? (a) 8 (b) h (c) -1 (d) -3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(w) be the first derivative of 53*w**4\/4 - 7*w**3\/3 + 5*w**2 - 4*w - 48. Is 34 a factor of q(3)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 115\/70641466 and 31\/2490.\nAnswer: 1059621990","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 72270 and 1314.\nAnswer: 72270","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let n be 9*-1*(1 + 0). Let c(j) = -j**2 - 11*j - 6. What is the remainder when 35 is divided by c(n)?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 3402 and 51786?\nAnswer: 378","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let s(c) be the first derivative of -2*c**5\/25 - 5*c**4\/2 - 94*c**3\/15 - 23*c**2\/5 - 222. Let s(t) = 0. Calculate t.\nAnswer: -23, -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: (9 - (3 + 2)) + (1 - 3)\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*i + 0*i + b = 1004, 0 = 5*i + 4*b - 1671. Suppose 260 + i = f. Is (-4)\/6 - f\/(-15) a multiple of 13?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1*(5\/35)\/(3\/77).\nAnswer: 11\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 1 + 59 = 4*p. Suppose -2*o + 61 = p. What is the remainder when o is divided by 12?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 1.9? (a) 0 (b) -2 (c) 2 (d) -3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*y**3\/3 - 362*y**2 - 9908*y\/3 - 5152.\nAnswer: 2*(y - 552)*(y + 2)*(y + 7)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let x(r) = -2*r**3 - 2*r**2 - 2. Suppose 33*w - 33 = 30*w. Suppose 122 = -w*k + 34. Let p be (-9 + 8)\/(2\/k*-2). Give x(p).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*g - 3*g + 39 = 0. Let z be (g - -4) + 2\/(2\/(-3)). Let k(p) = p**3 + 13*p**2 + 13*p + 7. Calculate k(z).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3 + 0 = i. Let s = i - -10. Solve -4*l = -3 - s for l.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is -111 - 10111101010101?\nAnswer: -10111101011100","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -65*f**2*u**3 + f**2*u + 2*f*u**3 + f*u**2 - 64 wrt u.\nAnswer: -390*f**2*u + 12*f*u + 2*f","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let x(g) be the third derivative of 30*g + 13\/6*g**3 + g**2 + 0 + 35\/24*g**4. What is the first derivative of x(p) wrt p?\nAnswer: 35","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -0.02 at least 3\/26957?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 30828?\nAnswer: 2, 3, 7, 367","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 2*((-9)\/(-12))\/(3\/(-2))?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence yyyp when four letters picked without replacement from {p: 1, y: 12}.\nAnswer: 1\/13","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(135)\/sqrt(5) - ((sqrt(3) + sqrt(12)\/sqrt(4))**2 + -2).\nAnswer: -10 + 3*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 28 + -26. Solve u*y = -y + 12 for y.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -2401, -2259, -2117?\nAnswer: -1975","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence vocy when four letters picked without replacement from {k: 1, c: 3, y: 2, v: 3, t: 1, o: 1}?\nAnswer: 1\/440","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of -3044, -21804, -72714, -171848, -335280?\n\"Answer: -2679*r**3 - r**2 - 4*r - 360","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let n(h) = 3*h - h**2 - 3*h. Let d(a) = -8*a**2 + 2. Suppose 4*w + 3*f - 362 = 0, 8*w + 4*f - 453 = 3*w. Suppose 0 = 90*l - w*l - 1. Determine l*d(y) - 10*n(y).\nAnswer: 2*y**2 + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -x = h + 115, -4*x + 0*x - 350 = 3*h. Let o = h - -116. Does 25 divide 75\/45 + 902\/o?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(108) + sqrt(108)*3 + sqrt(81)\/sqrt(3)*-1)\/(-6*(sqrt(81)*-4 + 1*sqrt(9)*4)).\nAnswer: 7*sqrt(3)\/48","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_test"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0.1 in 5, 0.1, -12\/11, -191?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from ufufffuuufuffuuuuuu. What is prob of sequence fuu?\nAnswer: 154\/969","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let n(l) = -3447*l - 108. Does 60 divide n(-4)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -0.2 in 145, 2, 4?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 69\/15500 and 191\/47700.\nAnswer: 7393500","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let m(b) = -38*b + 8. Let u(h) = 17*h - 4. Give 3*m(a) + 5*u(a).\nAnswer: -29*a + 4","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let q(d) = -d**2. Let y(m) = -50463*m. Determine q(y(c)).\nAnswer: -2546514369*c**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (15444\/1482)\/(-99)*2\/2?\nAnswer: -2\/19","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 30? (a) 4 (b) 1 (c) -2 (d) 0.107 (e) -117\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (-62)\/6 - (-8)\/(-4). Let g = s + 12. What is the biggest value in g, 0, 3?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (5 + -55)*1\/((-10)\/105). Solve -526*u = -l*u for u.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*h - 4 = -3*h. Suppose 0*k - h*k + 216 = 0. Let d = 76 - k. Is 11 a factor of d?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((c**(-1\/4)\/c*c*c**(-5)*(c**(2\/3))**(1\/48))**(1\/21))**(2\/17) assuming c is positive.\nAnswer: c**(-377\/12852)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2654*d = 1385*d - 4601 - 113153 + 4662 for d.\nAnswer: 28","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 u when two letters picked without replacement from {o: 1, u: 7}.\nAnswer: 3\/4","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (-50)\/84 + (-1)\/(-2). Let u = 0.11 + 0.39. Sort 3, u, h in descending order.\nAnswer: 3, u, h","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 124467?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 19, 10, -13, -56, -125, -226, -365, -548?\nAnswer: -781","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1 - ((-5 - (9 + -6)) + 3).\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in 188, -5, 1, -0.005?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Express 7*f**2 - 14*f**2 + f**3 - 4*f**3 - 16*f**2 + 113*f**4 - 114*f**4 + 2 - f as u*f**2 + t + g*f + l*f**3 + j*f**4 and give u.\nAnswer: -23","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is 3903857 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (5 + (sqrt(931) + sqrt(931) + sqrt(931) + 1 + 1 - ((sqrt(931) - (sqrt(931) + 3 + 4) - sqrt(931)) + sqrt(931))))**2.\nAnswer: 588*sqrt(19) + 8575","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let r(s) = s**2 - 7*s - 21. Calculate the lowest common multiple of r(10) and 36.\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*j - 5*f + 28, 2*f - 3 - 9 = j. Let q = 0 - j. Suppose 3*s**4 + 2*s**4 - 3*s**q = 0. What is s?\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(a) = -6*a**2 + a**2 + 3*a**2. Let i(t) be the third derivative of t**6\/120 - t**3\/6 - 2*t**2. Let p(x) be the first derivative of i(x). What is y(p(n))?\nAnswer: -18*n**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*m - 5*k - 236 = 0, 3*m - 519 + 290 = 4*k. Calculate the greatest common divisor of 18023 and m.\nAnswer: 67","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is -10145 + -5?\nAnswer: -10153","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 185394?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let o(u) = -2*u**2 - 2*u - 3. Let q(h) = 0*h**2 + 0*h**2 + 6*h**2 + 2*h + 8 + 4*h. Let c = 9 - 6. What is c*q(b) + 8*o(b)?\nAnswer: 2*b**2 + 2*b","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let d(i) = -i**3 - 3 + 10*i**2 + i - 1 - 7*i**2. Let y be d(3). Let f be (-2)\/((-3)\/(6\/y)). Put 6, f, -5 in descending order.\nAnswer: 6, f, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1069 = 7*q + 278*q + 376*q + 8846 for q.\nAnswer: -15","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -834*y - 2415*y - 2271*y - 3087*y to the form s*y + v and give v.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (i\/i**(-7\/3))**(-18) assuming i is positive.\nAnswer: i**(-60)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Express 23*l - 4*l + 15*l in the form y*l + n and give y.\nAnswer: 34","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-4)\/(-6) - 272\/48?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -7428*d = -7304*d + 1240 for d.\nAnswer: -10","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 7554571.\nAnswer: 19, 223, 1783","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -10, -91, -316, -757, -1486, -2575?\nAnswer: -4096","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve -400*m - 4*o = -405*m + 25, 5*m - 20 = 3*o for m.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*n + n = -1059. Let r = -142 - n. Suppose -a - 4*y = -r, 0 = 3*a + y - 56 - 577. Is a prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 1.06 + 86.94. Let i = n + -90. Sort i, -0.5, 0.2, 4 in descending order.\nAnswer: 4, 0.2, -0.5, i","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 256.07826us in days?\nAnswer: 0.00000000296386875","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 20222.\nAnswer: 2, 10111","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Expand -c**5 + c**5 - 3*c**5 + (0*c**4 - c**4 + 0*c**4)*(-2*c + 3*c - 2*c) + (2*c - 2*c - c)*(c + 2*c**4 - c) - c**5 + 2*c**5 + 0*c**5.\nAnswer: -3*c**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((h\/h**(-2))\/h)**(-14\/9)*((h*h\/(h\/h**(-2\/9)))\/h)\/(h**(2\/21)\/h))**(-4\/19) assuming h is positive.\nAnswer: h**(68\/133)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*c + 2*d = 5*d - 28 - 27 + 49, -13*d + 26 = 0 for c.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 573 minutes after 5:35 AM?\nAnswer: 3:08 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let v(a) = -4*a - 34. Let h be v(-8). What is the common denominator of (h\/16)\/(28\/(-720)) and (-63 + 5)*10\/(-24)?\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: -329270 divided by 190\nAnswer: -1733","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 988 and 11688781?\nAnswer: 247","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 15986 - 7386. Round t to the nearest 1000.\nAnswer: 9000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -4273 in -3, 1494, -1\/4?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between 0.16 and 58557159?\nAnswer: 58557158.84","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (9\/6)\/(303\/42 - 7).\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let j be 2\/10*(-15)\/(-12). Let h = -376 - -2634\/7. Which is smaller: j or h?\nAnswer: j","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 1998*a**3*j - 2*a**2*j + 1921*j with respect to a.\nAnswer: 5994*a**2*j - 4*a*j","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*c**3\/7 + 183364*c**2 - 33371234*c\/7 + 216910824\/7 = 0 for c.\nAnswer: 13, 641748","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 18*c - 12 = 14*c. Suppose 0*z + c*z = 0. Solve -f + 2 - 3 = z for f.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -11 - 1 = 4*z. Let o = z + 7. Suppose r - 3 = o*r - 5*c, -4*c = 4*r - 28. Solve r = -5*f + 9 for f.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 150900?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -6299? (a) -0.1 (b) 5 (c) 8.6\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 565 - 304. Let h = -14367 - -14396. What is the highest common divisor of m and h?\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(n) = -n**3 + 5*n**2 + 9*n - 34. What is the smallest common multiple of 55 and b(5)?\nAnswer: 55","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*u = 2*u. Let k = -5 + u. Let h = k + 9. Solve 2*p = -5*o + 20, -5*o + 31 + h = 5*p for o.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(q) = -4*q + 2. What is n(-1)?\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 5287 to the power of 1\/3, to the nearest integer?\nAnswer: 17","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Subtract -2880479196 from 16.\nAnswer: 2880479212","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let w(d) = 3*d + 49. Let l(c) = 16*c**2. Calculate l(w(j)).\nAnswer: 144*j**2 + 4704*j + 38416","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let f(u) = 8*u - 3. Let g be f(2). Let y = -1 + 2. Let r = g - y. Calculate the highest common divisor of 24 and r.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 47\/963 and 79\/22042.\nAnswer: 198378","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 t when two letters picked without replacement from {z: 1, q: 2, e: 2, t: 3, d: 4, j: 2}?\nAnswer: 3\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is -44273224 divided by 8?\nAnswer: -5534153","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: -19 - ((-6 - -12 - -2) + -22) - -52\nAnswer: 47","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let r(i) = 37*i + 409. What is the hundreds digit of r(47)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 219 - 82. Let n = 150 - r. Calculate the remainder when 35 is divided by n.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (5*sqrt(78)*-1 + 3*(sqrt(78)*2 - sqrt(78)))\/(sqrt(294) - sqrt(294)*-3*3).\nAnswer: -sqrt(13)\/35","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is 58251 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 23279 - 23085. What is the remainder when w is divided by 76?\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 48 + -27. Is -1*(-1*q - 2) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -0.46 - 0.04. Let i = d + -0.5. Suppose -5*s - 2*h = -31, 2*h = -4*s - 3*h + 35. Which is the nearest to i? (a) -0.2 (b) -3\/2 (c) s\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 8 + -10 + 4 + 9.\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is -2 - 20121?\nAnswer: -20200","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of -92, -93, -94, -95?\n\"Answer: -a - 91","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 387 minutes before 8:33 PM?\nAnswer: 2:06 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 116 and 76?\nAnswer: 2204","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 10672 and 11392360?\nAnswer: 22784720","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 14682 - 14674.91. Which is the fourth smallest value? (a) f (b) 2 (c) 1\/3 (d) -3\/8\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -709 - -713. Suppose 5*h = h + 12. Which is the closest to h? (a) s (b) -3 (c) 0\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.0352642465 to 4 dps.\nAnswer: 0.0353","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let g(y) = 22*y + 867. Determine g(-38).\nAnswer: 31","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 146*n*q**5 - 3*n*q**2 + n + q**6 - 2*q**2 wrt q?\nAnswer: 8760*n*q**2 + 120*q**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (-2)\/(-4) + 6\/4. Put -4, -3, h in descending order.\nAnswer: h, -3, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(j) = j**3 - 6*j**2 + 5*j - 3. Let c be i(4). Let u = 44 + c. Let g = -17 + u. What is the lowest common multiple of 2 and g?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -13*p + 3*p + 4*p - 3*p - 550*p**2.\nAnswer: -550*p**2 - 9*p","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of -2421, -2419, -2417, -2415, -2413, -2411?\n\"Answer: 2*h - 2423","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 2456.95 + -2302. Let r = -211 + d. Let z = -54 - r. Round z to 1 dp.\nAnswer: 2.1","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 1351646 and 4054938?\nAnswer: 4054938","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from nnfurf. What is prob of sequence furu?\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 26 or 350\/13?\nAnswer: 26","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve 19*p + 27*p - 9*p - 3025 = -18*p for p.\nAnswer: 55","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let j(p) = 25*p**2 + 574*p - 27. Calculate j(-23).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is 334545 - -1?\nAnswer: 334546","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let w(q) = q. Let d(x) be the first derivative of 23*x**2\/2 + 2018. Give d(r) + 5*w(r).\nAnswer: 28*r","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let l(b) = b**3 + 5*b**2 + 9*b + 4. Let i be l(-2). Let a be 84\/7*2*i\/(-6). Is 14 a factor of (42\/a)\/(6\/16)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (13*o + 2 - 50*o + 21*o)*(1 - 4 + 2).\nAnswer: 16*o - 2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: -8 - (-1 - 5 - 1)\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -537*o**2 + 1509*o + 348*o**2 - 943*o**2 + 21*o**2 wrt o.\nAnswer: -2222","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8127 = -7*t - 30*t + 10*t. Let o(x) = -52*x**2 + 3*x - 1. Let h be o(3). Let z = t - h. What are the prime factors of z?\nAnswer: 3, 53","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((t*t\/t**(-2\/7))**(-18))**(-10)*(t\/t**(-2\/7)*t**(2\/7))**4 assuming t is positive.\nAnswer: t**(2924\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:22 PM and 2:04 PM?\nAnswer: 102","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Convert -2 (base 3) to base 12.\nAnswer: -2","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 f and 1 r when two letters picked without replacement from fuarr?\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is 45455 - 2605?\nAnswer: 42550","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -2754 divided by -6.\nAnswer: 459","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 1508537465 to the nearest integer?\nAnswer: 38840","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (m**(-3\/2)\/(m\/(m**(-1)\/m)))\/(((m\/(m*m\/(m\/(m\/(m\/m**(-1\/3))))*m))\/m)\/(m*m**(-1\/9)*m)) assuming m is positive.\nAnswer: m**(-17\/18)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:51 AM and 11:35 AM?\nAnswer: 44","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in -3, 2, -4, 249, -3\/5, -11?\nAnswer: -3\/5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is 359837 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (32\/(-12))\/(2\/(-84)). Let q(f) = 3*f**3 + 3*f**2 - 3*f - 2. Let j be q(2). Calculate the highest common factor of j and n.\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v be 3\/(3\/4) - -2. Let u = -1 + v. Suppose 3*l + 16 = u*l. What is the least common multiple of l and 2?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: -20002110000 (base 3) to base 15\nAnswer: -257c0","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 11 + -20. Suppose 15 = 3*i + 3*j - 2*j, 2*i = -5*j - 3. Suppose -3*l - 33 = 4*q, -4*q + i*l = 2*l + 40. Is p != q?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x be 152\/64 + 6\/(-16). Let r(z) be the third derivative of 1\/120*z**5 + 5*z**x + 0*z**3 + 0*z + 1\/96*z**4 + 0. Factor r(f).\nAnswer: f*(2*f + 1)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: 3 + (2 - 1) + -7\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -3 + 8. Let m = 56815 - 56804. Solve 4*t - 3*g - z = m, t = -5*g - 19 for t.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 39 and 118339.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in -0.4, -1\/3, 43, -22?\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (-9)\/(-4) - 3\/12. Let f(l) be the second derivative of 1\/10*l**6 + 9\/4*l**4 + 3*l + 7\/2*l**3 + 0 + 3\/4*l**5 + 3*l**q. Factor f(p).\nAnswer: 3*(p + 1)**3*(p + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(k) = 3*k - 7. Let b be f(5). Suppose b = 2*n - 12. Calculate the lowest common multiple of 4 and n.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -3 and -123230.07.\nAnswer: 369690.21","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let b(p) be the first derivative of -27*p**5\/20 - 73*p**3\/6 - 120*p - 76. Let h(c) be the first derivative of b(c). Find the second derivative of h(t) wrt t.\nAnswer: -162*t","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 19 and 209.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 o and 1 k when two letters picked without replacement from mxkozxxmmxmkxxx.\nAnswer: 2\/105","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 261 + -258. Let u(w) = 1 + 2*w**2 + 6 - 7 + 11*w**r. Let f(q) = 144*q**3 + 27*q**2. Give 2*f(h) - 27*u(h).\nAnswer: -9*h**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (1\/(1\/1))\/(2\/30). Let h(n) = n**2 - 6*n + 8. Let u be h(7). Let g = u - 14. Solve t = 4*w - g for w.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 14 and 658.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 13556 = 4*j - 3*r, 4*j - 18*r = -7*r + 13524. Is j a multiple of 15?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:00 PM and 9:31 PM?\nAnswer: 391","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1 - 0 - 23 - (-690 + 701).\nAnswer: -33","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 3? (a) -287 (b) 4 (c) 0.3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of 12334040, 24668079, 37002118, 49336157?\n\"Answer: 12334039*j + 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 298188213?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let w(q) = -277*q + 1090. Determine w(6).\nAnswer: -572","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -249 - 29 = 201*u + 325. Let f(o) = o + 3 + 2*o**3 + o**2 - 6*o + 0*o**2 - o**3. What is f(u)?\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*y - 3*a + 1 = -14, y + 4*a - 3 = 0. Factor 10*h + 204*h**y - 205*h**3 - 2*h - 7*h**2 + 0*h.\nAnswer: -h*(h - 1)*(h + 8)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (3*((sqrt(190)*-4 - sqrt(190)) + sqrt(190) + sqrt(190)) - sqrt(190))\/(3*sqrt(160)).\nAnswer: -5*sqrt(19)\/6","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Sort 14, -2, 656, -8 in descending order.\nAnswer: 656, 14, -2, -8","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let k(z) = -z**3 - 6*z**2 - 5*z - 2. Determine k(-6).\nAnswer: 28","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 k and 1 r when two letters picked without replacement from {i: 2, n: 1, r: 3, q: 2, u: 4, k: 6}?\nAnswer: 2\/17","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let g(l) = -3*l**3 - 19*l**2 + 94*l + 3. What is the remainder when 1460 is divided by g(-10)?\nAnswer: 156","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -40 = -7*f + 5*f. Let i be ((-3)\/12)\/((-5)\/f). What is the greatest common factor of i and 7?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many kilograms are there in 15\/4 of a tonne?\nAnswer: 3750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Expand -991*s**2 + 409*s - 409*s + (1 - 4 + 2)*(-s**2 + 3*s**2 + 2*s**2).\nAnswer: -995*s**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is 52 - -35?\nAnswer: 87","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 21250 and 12410.\nAnswer: 170","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -325 + 457. What is the common denominator of (-302)\/6*(-23)\/46 and (-4)\/(-22) - 30\/a?\nAnswer: 66","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -76553.642 to the nearest ten.\nAnswer: -76550","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is -7190 divided by 5?\nAnswer: -1438","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Expand 12*l**3 + 15*l**3 + 3*l**2 - 31*l**3 + (1314 - 1314 - 49*l)*(-6*l**2 + l**2 + 2*l**2).\nAnswer: 143*l**3 + 3*l**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -3.1 + 2.5. Put 2\/7, j, 0 in descending order.\nAnswer: 2\/7, 0, j","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 6 - 4 - (-2 + 8).\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand (29528 - 29563 - 2*n - 3*n)*(-1 + 1 - n).\nAnswer: 5*n**2 + 35*n","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -0.04 - -0.44. Suppose -3*t - 14 = -y, -5*t - 25 = -3*y + 5. What is the closest to 0.1 in 0, y, b?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 0*o + 3*o**3 - o + 13 + 0*o**3 to the form p*o + x*o**3 + w*o**2 + j and give j.\nAnswer: 13","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*d - 5*v - 25 = 0, 5*d + 706*v = 711*v + 25. Suppose r - 7 = -4. Factor -8\/9*p**2 + 16\/3*p**r + d - 10*p**4 + 0*p + 50\/9*p**5.\nAnswer: 2*p**2*(p - 1)*(5*p - 2)**2\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor n**3\/4 + 264517*n**2\/4 + 17557595011*n\/4 + 8626317539895\/4.\nAnswer: (n + 495)*(n + 132011)**2\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let t(f) = 128*f - 7368. Calculate t(58).\nAnswer: 56","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Expand (4*t - t - t)*(-40*t**3 + 202*t**3 - 82*t**3).\nAnswer: 160*t**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*x + 5 = -9*w + 7*w, -4*x + 19 = -3*w. Let u be (17 + x)*(-8)\/(-36). Solve 0 = -u*q + q - 2*q for q.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*u - 3*q + 2213 - 7113 = 0, -4924 = -4*u - 3*q. Which is smaller: u or 1230?\nAnswer: u","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 620*l**6 - 22*l**2 + 1 wrt l.\nAnswer: 74400*l**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let u(v) = -v**3 + 17*v**2 - 15*v - 17. Determine u(16).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Round 314848 to the nearest 1000.\nAnswer: 315000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: How many milliseconds are there in 7.637919 hours?\nAnswer: 27496508.4","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is -c9 + a?\nAnswer: -bd","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose t - x - 18 = 0, 3*x + 1499 = 2*t + 1457. Solve -t = -111*g + 109*g for g.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -9 - -7. Let g be 2 + (l + 1 - -4). Let m(b) = b**3 - 4*b**2 - 5*b - 4. Give m(g).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -76\/519975 and -97\/924400.\nAnswer: 8319600","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 137605 is divided by 45842.\nAnswer: 79","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -31.09 - -31. Let z = -9 + 9.05. Let r = z + y. Does 0.1 = r?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 13*k**5 - 14*k**6 - 26*k**5 + 13*k**5 - 8*k**2 wrt k?\nAnswer: -1680*k**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: 401.943 times -23\nAnswer: -9244.689","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -10.2 - -11.2. What is the closest to -2 in -0.4, q, 0.11?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 1285*h**2 + 45147 wrt h?\nAnswer: 2570*h","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -739675636 + 49.\nAnswer: -739675587","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -151\/30 and 82\/75?\nAnswer: 150","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 13000 and 21775.\nAnswer: 325","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 336033 or 336034?\nAnswer: 336034","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((((sqrt(72)*-2)\/sqrt(6))\/sqrt(6) + (sqrt(16) - sqrt(16)*1)\/sqrt(8) + (sqrt(8)\/sqrt(4)*3 - sqrt(2)))*6*3)**2.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -16427 + 31515. List the prime factors of a.\nAnswer: 2, 23, 41","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 12*c - 294 - 42. Solve 22 = -6*g + c for g.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from ixxixix. Give prob of sequence xix.\nAnswer: 6\/35","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from ltepfvp. Give prob of sequence ev.\nAnswer: 1\/42","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*v + v = 1. Let n = -3 + -0.8. Let k = 2.8 + n. What is the third biggest value in -1\/7, k, v?\nAnswer: k","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (b\/b**(5\/2))**(-2\/41) assuming b is positive.\nAnswer: b**(3\/41)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: (-16)\/(-144)*(-9)\/(-13)\nAnswer: 1\/13","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3 = -2*h - u, 4*h - 2*u = u + 31. Suppose -4*g = -g + h*c - 28, 5*g + 3*c - 32 = 0. Is 18\/(-6) + 14*g a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1, 0, -54, -5 in decreasing order.\nAnswer: 0, -1, -5, -54","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*b + 2 + 1 = 0. Let o be 15\/6 + b\/2. Let f(r) = -r - 2*r**o + r - r**2. Let q(c) = c. Calculate q(f(l)).\nAnswer: -3*l**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let i(k) = 9*k - 12. Let z(b) = 3*b - 4. Let m(f) = -6*i(f) + 17*z(f). Let y be -1*2\/(-2)*-7. Does 13 divide m(y)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 7308 and 67433352.\nAnswer: 2436","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 288 and 2784.\nAnswer: 8352","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -239 + 239.01269. Round u to four dps.\nAnswer: 0.0127","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(o) = 3*o**2 + 10*o - 4. Let z be k(-4). Solve -z*d - 3*l + 3 = 0, l - 3 = -3*d + 3 for d.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(126)\/sqrt(2) + 4*(sqrt(7) + -3) + -1 + 1 + ((sqrt(567) - (-1 + sqrt(567))) + 1)*4)**2.\nAnswer: -56*sqrt(7) + 359","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of -39887, -159331, -358317, -636845, -994915, -1432527, -1949681?\n\"Answer: -39771*w**2 - 131*w + 15","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1861991060?\nAnswer: 2, 5, 93099553","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let y(n) = -n**3 + 59*n - 34. Calculate y(-8).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 1063\/142 - -1\/71. What is the common denominator of -127\/150 and i?\nAnswer: 150","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 6133?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((z\/(z\/z**(-1)))**(-2\/25)\/(((z\/(z\/(z\/(z*z*z\/(z\/(z*z**0))*z))))\/z)\/z)**(-15))\/((z**(-1\/4))**(-34)\/((z\/z**3)\/z**(-2\/5))) assuming z is positive.\nAnswer: z**(-4251\/50)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 364 - 249. What is the derivative of -c + 33*m - 62*m - 3 + 31*m wrt m?\nAnswer: 2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0.4 + 12.84552.\nAnswer: 13.24552","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Factor 3\/8*x**3 + 45\/4*x + 51\/8*x**2 + 0.\nAnswer: 3*x*(x + 2)*(x + 15)\/8","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many nanoseconds are there in 2562.012 minutes?\nAnswer: 153720720000000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 3299215\/8 - 412401. Let h = 3.5 - 3. Put u, -3, h in ascending order.\nAnswer: -3, h, u","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 796?\nAnswer: 2, 199","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 192\/(-352)*85\/51*24\/5.\nAnswer: -48\/11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 98, 149, 204, 263, 326, 393, 464?\nAnswer: 539","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let b(j) = 2*j**2 + 2*j - 16. Let u(q) = q. Calculate -b(h) - u(h).\nAnswer: -2*h**2 - 3*h + 16","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Does 2195 divide 52968958?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-228)\/5016*22\/(-4).\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: 180 times 662.31\nAnswer: 119215.8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let b(x) = 11126602*x**2. Let i(g) = -6*g. Calculate b(i(n)).\nAnswer: 400557672*n**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 873962 - 1545111. Let a = i + 1151149. What is a rounded to the nearest 100000?\nAnswer: 500000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -3 in -3, -5\/8, -2\/5, 3, -0.1?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 c and 2 h when four letters picked without replacement from {h: 13, c: 5}?\nAnswer: 13\/51","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*x - 3*x**3 + x + 0*x)*(-3 - 1 + 5).\nAnswer: -3*x**3 - x","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is (30\/(-75))\/(6\/(-5))?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 11425 and 125.\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*i - 39 = 69. Let l be 8\/6 - (-6)\/i. Solve 0 = -v - 2 - l for v.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a be 2 + -135 + 3\/8*8. Round a to the nearest 100.\nAnswer: -100","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -6414599*p**2 + 10055591*p wrt p?\nAnswer: -12829198","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 5272 and 116643?\nAnswer: 659","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 14*h = 54*h - 53760. Is h a multiple of 12?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -212*s + 5960 = 68*s + 18*s. What is the remainder when 665 is divided by s?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine h so that -5*h**3 - 17665*h**2 - 4931155*h - 359101175 = 0.\nAnswer: -3235, -149","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is 8420290985 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is (-1)\/4*-4*(-388)\/(-26)*(-494)\/(-76)?\nAnswer: 97","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0 in -864494, 0, -0.08?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 28*h**3 - 9*h**3 + 57 - 2*h**2 + 25*h**3 with respect to h.\nAnswer: 132*h**2 - 4*h","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g be 5 + (-1 - -2 - 2). Solve 4*t = 3*o + g, -o - 1 = -t - 2*o for t.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth root of 4241635 to the nearest integer?\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 587 minutes before 6:59 AM?\nAnswer: 9:12 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 399 minutes before 6:21 AM?\nAnswer: 11:42 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 123981915?\nAnswer: 3, 5, 1481, 5581","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 1273 + -891. Is 10 a factor of m?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0 in -3, -2\/7, 1, 6\/61, 18.7?\nAnswer: 6\/61","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is (2 - (-2 + -4)) + -8?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 118 + -117.9. Let p = 0.507 + -0.107. What is the fourth biggest value in -5, l, p, 0?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(q) = -6*q**2 - 2*q - 1. Suppose -n = -1, 2*g - 1 - 1 = -4*n. What is p(g)?\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.245724583 rounded to three decimal places?\nAnswer: -0.246","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is 2\/83 at least 0?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 e when two letters picked without replacement from {q: 5, s: 8, e: 7}.\nAnswer: 21\/190","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Convert 910110.5 kilometers to meters.\nAnswer: 910110500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) -4810 (b) 4 (c) 3 (d) -0.5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 3\/8 of a millennium in years?\nAnswer: 375","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (i**(-1\/27)*i*i**(-2)\/i*i*i)**(-40\/7) assuming i is positive.\nAnswer: i**(40\/189)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -51\/8 and -173\/5250.\nAnswer: 21000","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4 + 25 = -29*l. Let k be (4 - 8\/2)\/l. Solve -g - 11 = 2*g - 2*s, k = 2*s - 8 for g.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(y) = 382*y - 50. Let v be a(8). Suppose 0 = 6*j - v + 990. Is 336 greater than j?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from aaaffafffff. What is prob of sequence af?\nAnswer: 14\/55","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Divide -129671888 by 32417972.\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (3666*f**4 - 18051735*f**3 + 18051735*f**3)*(-1 + 0 + 0) to the form q*f**4 + g*f**3 + y*f + j*f**2 + s and give q.\nAnswer: -3666","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let y(s) = s**2 - 8*s + 7. Let w be y(7). Suppose -4*g + g + 39 = w. Let u be (-2)\/(-2) + (g - 8). Calculate the highest common divisor of 6 and u.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(a) be the first derivative of -3*a**5\/5 - 7*a**4\/2 - 626*a**3\/3 + a + 493. Find the third derivative of v(n) wrt n.\nAnswer: -72*n - 84","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(q) = q**2 - 68*q + 534. Calculate l(9).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 d and 2 a when three letters picked without replacement from daaaadaadaaa?\nAnswer: 27\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: -1 + -58.818147718\nAnswer: -59.818147718","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*q = -3*o + 57, 3*q - 4*o + 5*o - 44 = 0. Let h(u) = -q*u + 1 + 1 + 2*u - 3. What is the tens digit of h(-1)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 1557177.387 to the nearest 10.\nAnswer: 1557180","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 62 + 54 - 181 + 82 - 10*o + 51.\nAnswer: -10*o + 68","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) -1 (b) 0.2 (c) -3.78 (d) -0.26282\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 852*o**2 + 136*o**2 + 7*o**2 to the form q*o**2 + t + m*o and give q.\nAnswer: 995","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((h\/((h*h\/((h*(h*h**(-5)\/h)\/h)\/h*h*h))\/h*h*h))\/(h**(-7)*h))**(6\/5)\/((h\/(h**(-1)\/h)*h*h*h**(-3)*h)\/(h**(-2\/5))**(-21)) assuming h is positive.\nAnswer: h**(27\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: 974\/532 + (-3)\/(-114)\nAnswer: 13\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((g*g\/g**(-1\/4)*g)**47)**(3\/11)\/(((g\/(g**8*g))\/g**(-6))\/(g**(-3\/4)\/(g*g**(-2\/19)\/g*g*g))) assuming g is positive.\nAnswer: g**(8572\/209)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from lkellaemalmeleflaa. What is prob of sequence ea?\nAnswer: 8\/153","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 17547 divided by 3?\nAnswer: 5849","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 1045218, 1045245, 1045320, 1045467, 1045710, 1046073, 1046580?\nAnswer: 1047255","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let g(b) be the third derivative of -b**5\/30 + b**4\/24 - b**3\/3 - 20*b**2. Let n(l) = 2*l**2 - l + 3. Calculate -3*g(t) - 2*n(t).\nAnswer: 2*t**2 - t","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -2 + (sqrt(171)\/(sqrt(81) - sqrt(9)) - (1*sqrt(228)\/sqrt(12) - sqrt(19))**2)*1.\nAnswer: -2 + sqrt(19)\/2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is 8861 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 695, 1350, 2005, 2660, 3315, 3970?\nAnswer: 4625","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -26 + 18. Let f(x) = -3*x - 11. Let q be f(o). Solve 3*j - j = -4*m - 10, -j + q = -4*m for j.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(o) = 183*o - 19. List the prime factors of h(2).\nAnswer: 347","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0 + 5 + 3)*(7*i + 20 - 20).\nAnswer: 56*i","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 269416 is divided by 3411?\nAnswer: 3358","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let o(w) = -17*w + 314. What is o(18)?\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 1\/121 + -245\/363. Let g = -32 - -31.63. Let h = g + 0.07. What is the closest to u in -0.1, h, -3?\nAnswer: h","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 6.147 to 0 dps.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 68 is divided by 21.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is 26 at most 592?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 280 divided by 20.\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let n be -1 - ((-24)\/4 - -2). Suppose -4*h + 24 = 3*q, 8*h - n*h = -15. Does 4 divide q?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {n: 1, z: 3, x: 2, j: 1}. What is prob of picking 1 z and 1 n?\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(40)\/(sqrt(80)\/sqrt(8)))\/(-6*sqrt(2)*-3).\nAnswer: sqrt(2)\/18","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2*q + 3*q**2 + 322529088 - 322529088.\nAnswer: 3*q**2 - 2*q","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 7012*o**3*r - 2*o**3 + 7*o**2 + 29933*o*r + 2796*o - 129 wrt r?\nAnswer: 7012*o**3 + 29933*o","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 d and 1 y when two letters picked without replacement from {s: 2, f: 2, r: 2, y: 12, e: 1, d: 1}.\nAnswer: 6\/95","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 x, 1 f, and 1 e when three letters picked without replacement from wxxfrrxerrrrw.\nAnswer: 3\/286","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is -14 + -273?\nAnswer: -307","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 53549 to the nearest integer?\nAnswer: 38","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is two fifteenths of a century in months?\nAnswer: 160","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: 7 + -8 + (-1 - -1) + (7 - 8)\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 2083915 is divided by 694635.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (24\/15)\/((-2)\/(-165)). Suppose 0*l + y = 2*l. What are the prime factors of l?\nAnswer: 2, 3, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(x) be the third derivative of -x**5\/60 + 7*x**4\/24 - 2*x**2. What is the units digit of q(6)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2663 - 5320 + 6*s**3 + 4*s**3 + 2657.\nAnswer: 10*s**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose k + 13 = h, 2*k + 2*k - 38 = -5*h. Suppose -h = 4*c - 18. Suppose 0*j = c*j. Solve j*s - 15 = 3*s for s.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from xxeegnee. What is prob of sequence ggee?\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 1567943 to the power of 1\/2, to the nearest integer?\nAnswer: 1252","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of -18642, -23232, -27822, -32412, -37002, -41592?\n\"Answer: -4590*j - 14052","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is -1002120 + -31322021?\nAnswer: -32330201","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 3330 and 3930?\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:38 PM and 3:11 PM?\nAnswer: 33","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let m(u) be the first derivative of -12*u**5\/5 + 2*u + 1. What is the derivative of m(i) wrt i?\nAnswer: -48*i**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {t: 1, l: 3, f: 4, q: 5}. Give prob of picking 2 f and 1 t.\nAnswer: 3\/143","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let w(t) = 14*t**3 + 2*t**2 - 1. Is w(3) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 802?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of 9782, 19541, 29324, 39143, 49010, 58937, 68936, 79019?\n\"Answer: 2*j**3 + 9745*j + 35","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (-1)\/6 - (-4)\/(-24). Let t be (-3)\/(-6) + 7\/(-10). Sort q, -0.3, t in ascending order.\nAnswer: q, -0.3, t","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(c) = -11*c + 8. Give l(-3).\nAnswer: 41","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (90\/(-702)*-130)\/(2\/(-3)).\nAnswer: -25","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 7*1*60\/(-140)?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-4 + -4*-6*(sqrt(1216) + (sqrt(1216) - (sqrt(1216) - sqrt(1216)*-2)))*-4)**2.\nAnswer: -6144*sqrt(19) + 11206672","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of 4, 9, 14?\n\"Answer: 5*t - 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -101 + 219. Let m = i + -73. What is the highest common factor of 20 and m?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k be -1*(-1)\/(1\/5). Let f be -2*1*(-15)\/6. Suppose -f*p + 11 = 1. Solve 3*z = 4*g + 5 + 6, -k*g - p*z - 31 = 0 for g.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -8*p**5\/7 - 4202*p**4\/7 - 748*p**3 + 2102*p**2\/7 + 3144*p\/7 = 0 for p.\nAnswer: -524, -1, 0, 3\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let l(f) = 2*f**3 + 266*f**2 + 261*f - 484. Determine l(-132).\nAnswer: -88","meta":{"dup_signals":{},"source":"polynomials__evaluate_test"},"subset":"dm_maths"} +{"text":"Question: Let i = -5\/8 - -19\/24. Let k = -33 - -33.19. Let d = k + 0.11. Which is the closest to 0.2? (a) d (b) -1 (c) i\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -48 = -6*t - 6. Is t a multiple of 2?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -69972 by -147.\nAnswer: 476","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((q**4*q)\/q)\/(q**(-1)*q*q*q))\/(q**(-1))**(2\/45) assuming q is positive.\nAnswer: q**(92\/45)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 64*d**3 + 2*d**3 + 22*d**2 - 22*d**2.\nAnswer: 66*d**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -2 + 2 + (-7 - -3) - -3.\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -12*c + 30 = -17*c. What is the remainder when (-1)\/(-4) + 1912\/32 is divided by (124\/8)\/((-3)\/c)?\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(b) be the first derivative of 5*b**6\/3 + 4*b**5\/5 - 5*b**4 - 8*b**3\/3 + 5*b**2 + 4*b - 39. Find v such that s(v) = 0.\nAnswer: -1, -2\/5, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2776.\nAnswer: 2, 347","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -95 = -4*t - 3*d, 2*t + 25 = 2*d + 55. Calculate the remainder when 56 is divided by t.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -2*v - 2*v**4 + 4*v - 93*v**3 + 3*v**4 - 86*v**3 + 53*v**2 + 180*v**3 to y*v + u + i*v**3 + x*v**2 + g*v**4 and give g.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -8273, -8276, -8279, -8282, -8285, -8288?\nAnswer: -8291","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -326, -1147, -2464, -4277?\nAnswer: -6586","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 44\/45 - -1607\/90. Which is greater: 18 or w?\nAnswer: w","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*q - 12*w = -14*w + 11, -4*w = 3*q - 9 for q.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-6 - -3) + (0 - -1 - 0)?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 2710 + -40652\/15. Which is the second smallest value? (a) 0.5 (b) -0.01 (c) 22 (d) x\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -5.1128 rounded to one dp?\nAnswer: -5.1","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*s + 0 = -3*i - 6, -3*i = -15. Let j(o) = 35*o. Let p be j(1). What is the greatest common factor of s and p?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 133 - 56. Suppose 8 = 4*h + 2*n, -3*h + 2 = -2*h + 5*n. Suppose -h*d + 161 = -c. What is the greatest common divisor of 17 and d?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (3 + 0*3\/9)\/1. Solve 0*r = -r + n for r.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 40392?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -10 divided by 5.\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of -50, -113, -214, -359, -554?\n\"Answer: -a**3 - 13*a**2 - 17*a - 19","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Factor -r**3\/3 + 4465*r**2 - 14945469*r - 44876601.\nAnswer: -(r - 6699)**2*(r + 3)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 612?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 213442 is divided by 147?\nAnswer: 145","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is -1717.9 - -7.5584148?\nAnswer: -1710.3415852","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 196 and 140.\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4 = 35*i - 33*i. Solve -2*t + i = h, t - 1 = 2*t + h for t.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(k) = 5*k**2 - 2*k - 6. Let q be a(-5). Suppose 5*z + 5*t - 7280 = 0, 3839 + 3441 = 5*z - 2*t. Suppose q = 5*m - z. Is m composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is 2012321220 + 12?\nAnswer: 2012321232","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:43 PM and 5:01 AM?\nAnswer: 618","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 4667 + -4663. Sort g, -5, -0.713 in descending order.\nAnswer: g, -0.713, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 49 a factor of 558612?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 25916 and 96596?\nAnswer: 1062556","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: 1104505 (base 6) to base 9\nAnswer: 84085","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 73*b**3 - 73*b**3 - 5*b**4 + 3 wrt b.\nAnswer: -20*b**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:14 PM and 12:25 AM?\nAnswer: 71","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 5 + (3 + (1*-2*sqrt(39))\/(sqrt(21)\/sqrt(112) - sqrt(3)))**2.\nAnswer: 16*sqrt(13) + 958\/9","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*a - 69 + 237 = 3*a. Solve -21*c - a = -108 for c.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 8 + -2. Let w(n) = 13*n**3 + 9*n**2 - 11*n - 2. Suppose 15 = -4*r - 29. Let h(t) = 7*t**3 + 5*t**2 - 6*t - 1. What is r*h(o) + y*w(o)?\nAnswer: o**3 - o**2 - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -19\/36 and -139\/144.\nAnswer: 144","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of 24, 47, 84, 135, 200, 279, 372?\n\"Answer: 7*c**2 + 2*c + 15","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence kik when three letters picked without replacement from kiiiiiiiiikkiii.\nAnswer: 12\/455","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -6 + 4 + -7 + (32 - -24) - (1 + 2)?\nAnswer: 44","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: How many milligrams are there in 85.29065 tonnes?\nAnswer: 85290650000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) 1\/4 (b) -0.0631 (c) -0.2 (d) -3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1\/8, 3, -4\/457 in decreasing order.\nAnswer: 3, -4\/457, -1\/8","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -54 + 54.4. Let i(x) be the first derivative of x**3\/3 + 4. Let t be i(-1). What is the nearest to -1\/4 in t, d, -0.2?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -123*j + 2*i = -122*j + 31, 4*j - 10*i = -171 + 11 for j.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*y + 5*w = 1409, 8 = -4*w - 12. What are the prime factors of y?\nAnswer: 2, 239","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from trtpttcttdlttttttdtl. Give prob of sequence crpt.\nAnswer: 13\/116280","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is -1.3 less than -664019.561?\nAnswer: -664018.261","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: (9\/18)\/((-3)\/24)\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 647 minutes before 11:51 AM?\nAnswer: 1:04 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 408*d - 8 = 406*d. Let s be ((-75)\/(-10))\/(3\/(7 - 1)). Solve s = -5*l + 3*i - 4*i, 5*l = -d*i for l.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -20 divided by -7234311?\nAnswer: 20\/7234311","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: How many milliseconds are there in 2\/15 of a minute?\nAnswer: 8000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0.1? (a) 95 (b) 1\/2 (c) 6 (d) 0.02 (e) 1.004\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 7 + -6. Let g = 1 + k. Factor -1 - 2*l**g - 2*l**3 - l + l**3 + 1.\nAnswer: -l*(l + 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(z) = z + 587. Is k(0) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:12 PM and 6:25 PM?\nAnswer: 313","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of -8704, -8628, -8506, -8338?\n\"Answer: 23*l**2 + 7*l - 8734","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (-12)\/30 - 12\/(-5). Factor -3*i**3 + s*i**3 + 2*i - 4*i**4 - 1 + 5*i**4 - i**3.\nAnswer: (i - 1)**3*(i + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: 395\/(-237)*(10\/((-130500)\/170) - (-1)\/(-9))\nAnswer: 6\/29","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Put -2, -113, -4, 7, 0 in decreasing order.\nAnswer: 7, 0, -2, -4, -113","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let l be 0 - (24\/(-4))\/(-4*(-1)\/4). Solve 6*o + 18 = l for o.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -26*19\/760*20.\nAnswer: -13","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 521, 512, 503, 500, 509, 536, 587, 668?\nAnswer: 785","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 12672 and 1755520.\nAnswer: 173796480","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 3743531?\nAnswer: 11, 340321","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 549 minutes before 11:02 PM?\nAnswer: 1:53 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is -3 - (16 - 10) - -1 - 1?\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let w(u) = -u**2 - 8*u + 3. Let b be (-16)\/40 + (-76)\/10. Let l be w(b). Solve 5*h = l*h for h.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((y*(y\/(y\/y**2))\/y)**(-45)*(y**(-1))**26)\/(y\/(y**2\/y)*y*y**4*(y\/(y\/(y*y\/(y*y*y*y*y**7\/y))))\/(y**(-5\/6)\/y)) assuming y is positive.\nAnswer: y**(-689\/6)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.0044932447 rounded to 5 decimal places?\nAnswer: 0.00449","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-4*y + y + 4*y)*(y - 52*y**2 - y - 110*y**2).\nAnswer: -162*y**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is 1053 + 0?\nAnswer: 1053","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -3*l + 5*l + 14 + 2 to v + j*l and give j.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 328856?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 108 is divided by 10.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 4005.\nAnswer: 3, 5, 89","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0, -4, -5, -60711, 4, 5 in decreasing order.\nAnswer: 5, 4, 0, -4, -5, -60711","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 3190 to the power of 1\/3, to the nearest integer?\nAnswer: 15","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*c - 13 + 1. Let d(f) = 2 - f - 4*f + c*f + 0. Calculate d(8).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: 1 * -89882\nAnswer: -89882","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-1)\/4*1)\/(16\/192)?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 3280 a multiple of 4?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: 1305 * 142\nAnswer: 185310","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 26 + -50. Let l(p) = -21*p + 15. Let r(b) = 4*b - 3. Let t(o) = n*r(o) - 5*l(o). Let s be t(2). What is the greatest common divisor of s and 60?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: -17 times 5230\nAnswer: -88910","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -i - 4*f - 9 = 0, 5*i + 2 = f + 20. Suppose 2*v + 6 = 0, -3*d - d + i*v = -33. Calculate the smallest common multiple of 226 and d.\nAnswer: 678","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from cciiczzcciz. Give prob of sequence iczc.\nAnswer: 1\/44","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Do 223 and -1445 have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Does 19 divide 39032585?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-25)\/((-106275)\/(-78))*3\/(-6).\nAnswer: 1\/109","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 50293*c**4 + 9*c**3 - 13*c**2 + 3*c - 1145?\nAnswer: 1207032*c + 54","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 12.9 + -13. What is the closest to j in -2, 3\/4, -4?\nAnswer: 3\/4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 64031921 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let t(y) be the second derivative of y**6\/72 - y**5\/120 - y**4\/2 + 5*y. Let q(k) be the third derivative of t(k). Calculate q(1).\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: 18150\/(-4719) - 30\/78*(-2)\/(-5)\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -151333, -302666, -453999, -605332, -756665, -907998?\nAnswer: -1059331","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 644 is divided by 43.\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 1? (a) 2134003 (b) -2\/5 (c) 5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (-90)\/100*(-10)\/12. Let f = 0.2 - 3.2. Which is the smallest value? (a) f (b) z (c) -1\/2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((u*u\/(u*u\/(u\/(u*u*u**(2\/35))*u)))\/u)\/((u*u**16\/u)\/u) assuming u is positive.\nAnswer: u**(-562\/35)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -49 - 0. Let r = f - -25. Let q = -1375\/3 - -459. Which is smaller: r or q?\nAnswer: r","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 4992?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is 29905721 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 31*n**2*t**6 - 16*n**2*t**2 + 6*n**2 - 2113*n*t**2 - 18211*t**6 wrt t?\nAnswer: 3720*n**2*t**3 - 2185320*t**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is 26039 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let x(v) = -36211*v + 289700. Give x(8).\nAnswer: 12","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 61050 to the nearest integer?\nAnswer: 39","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Are 5\/2 and -9421 nonequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (h**(2\/3)*h**2*h\/(h**(-1\/5)*h)*h**7*h)**(-2\/25) assuming h is positive.\nAnswer: h**(-326\/375)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let k be 10\/((-3)\/51*2). Which is the third smallest value? (a) 2\/11 (b) k (c) 0.2 (d) 6\/11\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 16 = -4*n + 3*v, -19*n - 5*v = -14*n + 20. Let y(z) = -z**3 - 3*z**2 + 5*z + 6. Let p = 10 + -14. Let h be y(p). Put n, 4, h in decreasing order.\nAnswer: 4, h, n","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 84727?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*y + 8 = 0, 3*y + 0 = -3*z + 24. Calculate the common denominator of 142*(-3 + 39\/z) and -119\/10.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (-185)\/65 + (-6)\/39. Let k(d) = -2*d**3 - 2*d**2 + 7*d. Let v be k(f). Solve 0 = 3*c + 3*t + v, -c = 2*c + 4*t + 16 for c.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of -166711, -663366, -1491125, -2649988, -4139955, -5961026?\n\"Answer: -165552*m**2 + m - 1160","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 77 + -519.641?\nAnswer: -442.641","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 63 + 4 + 4 - ((185 - 178) + 5 + 0).\nAnswer: 59","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let l(m) = 3*m**2 - 5*m - 8. What is the remainder when 418 is divided by l(6)?\nAnswer: 68","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 12*p**2 + 7*p - 5\/2 = 0.\nAnswer: -5\/6, 1\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ara when three letters picked without replacement from {s: 7, a: 2, r: 1, g: 2, y: 6}?\nAnswer: 1\/2448","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -18*u**4 + 129003*u**3 + 8774932*u**2?\nAnswer: -432*u + 774018","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (y\/y**(-6)*y*y**(-1\/8))\/(y**(-3\/4)\/y**7) assuming y is positive.\nAnswer: y**(125\/8)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 96401.91 weeks in hours?\nAnswer: 16195520.88","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is -4 + -176?\nAnswer: -17a","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -3285, -6513, -9741, -12969?\nAnswer: -16197","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 0.3 + -0.1. Let m be -4 + (-198)\/45 + (8 - -1). Which is the closest to m? (a) -4 (b) i (c) 3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (2\/(-1))\/(33\/(-3))?\nAnswer: 2\/11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 14500?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let h(j) = -113*j. Let z(m) = -5*m + 5090. Determine z(h(w)).\nAnswer: 565*w + 5090","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let x(g) be the first derivative of g**6\/2 + 3*g**5 + 27*g**4\/4 + 7*g**3 + 3*g**2 - 3. Factor x(h).\nAnswer: 3*h*(h + 1)**3*(h + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*y + 46 = 5*c + 6*y, 2*c + 2*y = 20. Suppose -2*g + t - c = 0, -g - 3 = -2*t + t. Is -4 + (g - -4)*1799 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 6 - (24 - 26 - (-6 + 2))?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(208) + sqrt(208)*1)*4 + sqrt(208) + -1 + -4 - (-5 + 2 + sqrt(208) + -2*sqrt(208)))**2.\nAnswer: -160*sqrt(13) + 20804","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 9 + (-52 - (-3 - 0) - 7 - (2 + 7))?\nAnswer: -56","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (-8)\/(-44) + 53\/11. Let n be 0\/(f + 2 + -5). Suppose -4*m - m + 50 = n. Is 3 a factor of m?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j be ((-3)\/3)\/(2\/(-10)). Suppose 2*m = 2*t + 7*m + 14, 5*t - 27 = 3*m. Suppose i = -t*i. Solve 0 = -i*r + r - j for r.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 55094*w**5 + 461249*w**2.\nAnswer: 3305640*w**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is 1\/2 less than 98?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence dqfe when four letters picked without replacement from adqqfqqqdafqaded.\nAnswer: 1\/910","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((j*(j*j**(-14))\/j)\/(j**5*j))**(11\/2)\/(j**(-4)*j*((j\/(j**(-2\/11)\/j))\/j)\/j*j\/(j*j**(1\/7)\/j)*j*(j\/j**(-4))\/j) assuming j is positive.\nAnswer: j**(-16561\/154)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -23.532 - -256290187.\nAnswer: 256290163.468","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (-13)\/(260\/(-56))*(-6 + 1). Let b(i) = -i**3 - 13*i**2 + 3*i - 22. What is the tens digit of b(h)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.0000001932 rounded to 6 dps?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 23161 and 3496?\nAnswer: 437","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -12 - 1 = -i - 3*g, -5*g + 29 = -2*i. Let q be (-2)\/4 + (-7)\/14. Let d = 0 + -3. Put d, i, q in ascending order.\nAnswer: d, i, q","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -156.82 - -157.92. Do -3\/43 and p have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of -17198, -34400, -51602, -68804, -86006, -103208?\n\"Answer: -17202*g + 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: How many millimeters are there in seven halves of a centimeter?\nAnswer: 35","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -34 = -4*w - 10. Let b be (24\/144*4)\/((-2)\/(-90)). What is the highest common factor of w and b?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the billions digit of 1939945306?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 3*h**3 + 79*h**2 - 363*h wrt h?\nAnswer: 18*h + 158","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -d - 2*d + 204 = 0. Suppose -36 = -229*w + 227*w. Calculate the remainder when d is divided by w.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*i = 6 + 9. Let a(v) = -7 - 93*v + 12 - 12 + 89*v - 4*v**2 + v**3. Calculate a(i).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_test"},"subset":"dm_maths"} +{"text":"Question: Let o = -7 - -7. Suppose -5*l - 2*u + 18 = 0, -3*l - 2*u - u + 18 = o. Suppose 170 = l*n + 2*p, -2*n = 3*n - 3*p - 425. What is n rounded to the nearest 10?\nAnswer: 90","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 37 + 46. Is y a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -j**4\/3 + 53*j**3\/3 + 746*j**2\/3 - 896*j.\nAnswer: -j*(j - 64)*(j - 3)*(j + 14)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*j**3 - 659776*j**2 - 97679704*j - 3614554272.\nAnswer: 2*(j - 330036)*(j + 74)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3880*y - 1548 = -3794*y for y.\nAnswer: -18","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is -2100448 less than 99?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let v(g) = -61*g - 1116. Calculate v(-19).\nAnswer: 43","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -23\/14 and -97\/10744.\nAnswer: 75208","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between 0.03 and 6845240693058?\nAnswer: 6845240693057.97","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let t(p) = -5*p + 3. Let a(z) = 2*z - 10. Let g be a(6). Calculate t(g).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express q**4 - 98*q**2 + 96*q**2 - 3 + 26*q**3 + 2 as h*q + n*q**4 + f*q**2 + d + u*q**3 and give u.\nAnswer: 26","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 1522*o**3 - 181*o**2?\nAnswer: 9132","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 3 + ((1*sqrt(270))\/(sqrt(384)*-1))**2.\nAnswer: 237\/64","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let j(w) = 6*w**2 - 2*w**3 - 4*w**3 + 5 + 0 + 7*w + 5*w**3. Let q be j(7). Suppose -q*k + 2 = -218. List the prime factors of k.\nAnswer: 2, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 2415 is divided by 36.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 28249908 and 11328.\nAnswer: 708","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*c + 3*q - 15 = 0, -2*q = -c - 7*q + 8. Let d be c\/(-36)*2*3. What is the second biggest value in 0.4, d, 2?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 62\/310*-13*((-5)\/(-6))\/(-1).\nAnswer: 13\/6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Express (-2*d + 7*d + d)*(-3*d + d + 3*d + (-4 + 2 + 4)*(-d - 2*d + 4*d))*(3 + 0 - 1) in the form p*d + a*d**2 + c and give a.\nAnswer: 36","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is 29967139 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let a(c) = c**2 - c - 1. Let h(v) = -v**3 - v**2 + 2*v + 6. Let u(j) = 5*a(j) + h(j). Suppose n = -0*n + 3. Calculate u(n).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.08126122334 rounded to 3 dps?\nAnswer: -0.081","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-308*s - 283*s + 632*s)*(-35 + 35 - 42*s).\nAnswer: -1722*s**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 2*p**2*t**2 + 12081425*p**2 + 30*p*t + 387*p - 1161*t**2 wrt p.\nAnswer: 4*t**2 + 24162850","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-1 + ((sqrt(567) - (sqrt(567) + (sqrt(567) + 1 + 2 - sqrt(567)) + sqrt(567)))*2)**2)*2.\nAnswer: 432*sqrt(7) + 4606","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -2 + 8*p - 2*p - 3 to j + u*p and give j.\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve 327*c + 428 + 3758 + 21806 = -34*c for c.\nAnswer: -72","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 1200553 to the power of 1\/3, to the nearest integer?\nAnswer: 106","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 3606822?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.00042781866 rounded to four dps?\nAnswer: 0.0004","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 3950 is divided by 247?\nAnswer: 245","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (12\/6)\/((-410)\/(-123)).\nAnswer: 3\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 17949427 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: How many hours are there in 30\/7 of a week?\nAnswer: 720","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is 160 + -2?\nAnswer: 156","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let p(x) = -8*x**2 + 0*x + x**3 - 7*x + 15*x**2 - 14*x**2 - 9. Determine p(8).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -9574, -19149, -28724, -38299, -47874, -57449?\nAnswer: -67024","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -11 - -8. Let m = 6 + s. Let q = -1 + m. Solve q*j - 16 = -5*n, -2*n = -2*j + j - 10 for n.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y be 6\/3 + (4 - 3). Suppose -4*f - 20 = 0, 3*u + y*f + 8 = -7. Suppose u*b - 200 = -3*i - 4*b, -3*i = -4*b - 160. List the prime factors of i.\nAnswer: 2, 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert f002d3 (base 16) to base 9.\nAnswer: 32533560","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((d**5)**27*(d**(-4\/3))**(-2\/51))**(-3\/46) assuming d is positive.\nAnswer: d**(-20663\/2346)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 2506 is divided by 57.\nAnswer: 55","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 30 and 1458.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) 2.31 (b) 1\/2 (c) -2 (d) -2\/33\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let h(x) = x**2 - x + 1. Let c(a) = 4*a**2 + 3*a + 19. Let q(g) = -c(g) + 5*h(g). Let w be q(11). Let z = 7 + w. Does 10 divide z?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (-57 - -55)\/((224\/12)\/(-7)). Which is the closest to -2\/5? (a) -2\/9 (b) z (c) -1.3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -42144 (base 6) in base 14?\nAnswer: -20da","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -17 - -9. Let w(a) = a**2 + 7*a + 3. What is the remainder when -6*(44\/(-6) + 2) is divided by w(k)?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -2*x + 17*x**2 - 3*x**2 - 8*x**2 + 9*x**3 + 0*x - 9*x**2 in the form k*x + j*x**2 + w*x**3 + i and give w.\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Does 947 divide 195659670?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is 103136606857 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let c(j) = j**3 + 25*j**2 + 401*j + 6679. Calculate c(-21).\nAnswer: 22","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let c(i) = -i**3 - i + 2. Let v(x) = x**2 - 9*x - 2. Let p be v(10). Let b be ((-9)\/(-6))\/(6\/p). Determine c(b).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-3*(sqrt(605) - 2*sqrt(605)*-5 - (sqrt(605) + 4 + sqrt(605)*3 + sqrt(605))) + -3)*1)**2.\nAnswer: -3564*sqrt(5) + 196101","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: 560610*18\nAnswer: 10090980","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Round 74404 to the nearest 100.\nAnswer: 74400","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: 22e2c (base 15) to base 14\nAnswer: 2c744","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -35\/10012213 and -2\/70085491?\nAnswer: 70085491","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let k(t) = -43*t**2 - 5*t + 2. Let q be k(3). Let a be (-2180)\/14 + 2*(-4)\/28. Let s be a\/(-1)*1\/(6\/q). Round s to the nearest 1000.\nAnswer: -10000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) 0 (b) 0.5 (c) -0.4 (d) -0.07 (e) -15 (f) 627 (g) 4\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(190)\/(sqrt(90)\/(sqrt(9)*-2)) - ((-2*sqrt(171))**2 + ((sqrt(114)\/sqrt(2))\/sqrt(3))**2).\nAnswer: -703 - 2*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify o**39*o**(-9\/5)*(((o\/(o\/o**3))\/o)\/(o*o**0))**(-7) assuming o is positive.\nAnswer: o**(151\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_test"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 879447 is divided by 64?\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 927271?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -1353 - -1352. Let c(f) = 2*f**2 - 4*f - 4. Let u(a) = a + 1. Suppose 5*k - r = -25, r = 4*k - 0 + 21. Calculate k*u(o) + x*c(o).\nAnswer: -2*o**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose s - 81 = -194. Let k = -340\/3 - s. Sort 0, k, -2\/19 in descending order.\nAnswer: 0, -2\/19, k","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(c) = c**2 + c + 1. Let d(h) = 2*h**2 + 3*h + 2. Suppose s + 0*s = w - 9, 0 = -2*w + s + 16. Give w*y(m) - 3*d(m).\nAnswer: m**2 - 2*m + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Factor 237*x**3 + 12*x**2.\nAnswer: 3*x**2*(79*x + 4)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -4*a**2 + 2*a**2 - a**3 - 2*a - a to j*a**2 + p + f*a**3 + m*a and give f.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {c: 5, v: 2, r: 6}. What is prob of sequence vvc?\nAnswer: 5\/858","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 561042 or 560997?\nAnswer: 561042","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let t be 5*13\/((-1365)\/(-6)). Let g be 1 - 2\/(84\/38). What is the smallest value in t, -2, g?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(g) = g**3 + 21*g**2 - 7*g - 25. Let d be h(-11). Suppose -5*q + d = 3*v, 0*q + 837 = 2*v - q. Is v a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*v - 2*b - 4 = -0*b, -3*v - 5*b - 10 = 0. Suppose -3*m - 5*p = 1693, -5*m + 3*m - 2*p - 1126 = 0. Let l = -558 - m. Solve 3 = l*w - v for w.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -3 divided by 13562132?\nAnswer: -3\/13562132","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Expand (5 + 1 - 4)*(-3*q**3 + 0*q**3 - 3*q**3) + (2 - 2 + 2*q**3)*(0 - 3 + 0) + 0*q**2 - 2*q**3 + 0*q**2 + q**3 - 6*q**3 + 3*q**3.\nAnswer: -22*q**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((p**(-2\/3)\/((((p**5*p)\/p)\/p)\/p))\/(p**3*p**3))\/(((p\/p**(-6\/5)*p)\/p)\/(p\/(p\/(p*p**(-2\/3)))*p))**(5\/6) assuming p is positive.\nAnswer: p**(-187\/18)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 22461570*c*w - 7*c - 155753679*w wrt c?\nAnswer: 22461570*w - 7","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let l(g) = 53*g - 64. Give l(-2).\nAnswer: -170","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify k\/(k\/k**(-14\/3))*k**(-2\/45) assuming k is positive.\nAnswer: k**(-212\/45)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (-1149)\/(-18) + (-3)\/(-18). Suppose -i - 84 = -4*a. Is a a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 101*i**2 - 203*i**4 - 98*i**2 + 303*i**3 - 298*i**3 to a*i**4 + d*i**2 + w*i + m + x*i**3 and give a.\nAnswer: -203","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -46.1 + 1.1. Let z = y + 1. Let o = 45 + z. What is the closest to o in 2\/11, 6\/7, 3\/4?\nAnswer: 6\/7","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -66*r + 79*r - 65 = 0. Suppose -5*p + r*w + 110 = 0, -p + 82 = 3*p - w. Solve p = -5*m + m for m.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from cucwujzwjjzjcjczchj. Give prob of sequence huw.\nAnswer: 2\/2907","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (40\/24)\/(1\/3). Which is the smallest value? (a) n (b) 0.3 (c) -7\/4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -4*x**3 - 452*x**2 + 456*x.\nAnswer: -4*x*(x - 1)*(x + 114)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -12*t = -70 + 10. Let a(w) be the second derivative of w**4\/12 - 5*w**3\/6 - 3*w**2\/2 + w. Give a(t).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let -2*s**4 + 1950*s**3 - 488034*s**2 + 19452250*s - 212397732 = 0. What is s?\nAnswer: 23, 342, 587","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence glj when three letters picked without replacement from jrgrlljjrrj?\nAnswer: 4\/495","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*l**4 - 1536*l**3 + 10918*l**2 + 52620*l - 62000 = 0. What is l?\nAnswer: -775, -4, 1, 10","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let i(d) = d**3 + 2*d**2 + 4*d + 27. Let x be i(-3). Let h(j) = -2*j**2 + 9*j - 3. Determine h(x).\nAnswer: -21","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 149273 and 226?\nAnswer: 113","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let d(a) = -12*a - 188. Let i be d(-16). Let p(n) be the second derivative of -i*n**2 + 0 - 8*n + 5\/3*n**3. Differentiate p(c) wrt c.\nAnswer: 10","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-1*sqrt(30)*-3 - sqrt(30))\/((sqrt(10) - (sqrt(10) - sqrt(10)*1*4)) + sqrt(10) + sqrt(10)).\nAnswer: sqrt(3)\/3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is 3 - -1410?\nAnswer: 1413","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let z(l) = 10*l + 17. Calculate z(-2).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*j + 36 = 3*j. Which is the third smallest value? (a) 0.2 (b) 0 (c) j\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -5.709 times 4403.3?\nAnswer: -25138.4397","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is (((-79296)\/(-120))\/28)\/((-10)\/(-25))?\nAnswer: 59","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Convert -9828d1 (base 14) to base 11.\nAnswer: -2a01019","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -427*p**4 + 5153*p?\nAnswer: -5124*p**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: -186 + 185 + 10 + -119\nAnswer: -110","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -12.2 - 1.8. Let w = 10 + c. What is the biggest value in 1\/2, w, 0.1?\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -37 + 55. Let u = -16 + b. Let h be u\/3*(-33)\/11. Which is greater: h or -5\/7?\nAnswer: -5\/7","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(r) = -1. Let v(n) = -12 + 9*n**3 - 19*n**3 + 5*n**3 + 47. What is -70*i(b) - 2*v(b)?\nAnswer: 10*b**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*c + 19 = 3*z + 14, -4*c + 11 = z. Let m(o) = o + 2. Let t(p) = -p - 3 + 3*p - 6*p + 2*p. Determine z*m(r) - 4*t(r).\nAnswer: 3*r + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let y(z) = -3*z - 5. Let h be 2*3\/(-4) + 126\/(-28). Let n(c) = c + 1. What is h*n(p) - y(p)?\nAnswer: -3*p - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let p be 6\/12*(-12)\/(-2). Suppose 0 = -3*h - 7 + 1. Which is the second biggest value? (a) h (b) 0 (c) p\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((w**(-1\/11)*w)\/w*w)\/(w*(w\/w**5*w)\/w*w))\/(((w*(w*w**(-1\/10))\/w)\/w*w*w)\/(w\/(w*(w\/(w*w**(-3\/7)))\/w))) assuming w is positive.\nAnswer: w**(1217\/770)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -19\/54320 and 5\/21728.\nAnswer: 108640","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 5? (a) 0.1 (b) 0.5 (c) -0.1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Determine j so that -82*j**5 - 168*j**4 + 2534*j**3 - 2172*j**2 - 112*j = 0.\nAnswer: -7, -2\/41, 0, 1, 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of 8084, 8080, 8074, 8066, 8056?\n\"Answer: -i**2 - i + 8086","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of (-1 + 35\/9)\/((-8)\/(-66)) and 117\/10?\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 3035653589356\/13357 - 227270614. Let n = -1\/361 - u. Which is greater: 1 or n?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -g = 4*g + 25. Let q be (g + 2)*(-8)\/6. What is the third derivative of 2*t**4 + 1 - 2*t**2 - q*t**4 - 1 wrt t?\nAnswer: -48*t","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 11*y**3 + 8*y**3 + 10*y**3 + 8*y**3 - 31*y**3.\nAnswer: 6*y**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*c + 3*p + 27 = -2*c, 25 = 5*c + 5*p. Let v(q) = 2*q + 2. Let k be v(3). Let b be (-2 + k)*(-1)\/(-2). Solve 9 = c*j - b*j for j.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (4*r**2 + 7*r**2 - r**2)*(5 + 16*r**2 + 68*r**2 - 101*r**2) to the form k*r**4 + h + f*r**2 + w*r + s*r**3 and give w.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 302352364?\nAnswer: 2, 71, 229, 4649","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let u be ((-8)\/5 - -2)\/(3\/(-135)). Let y be 1\/((-54)\/51 - -1). Are y and u nonequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -553*o + 17*o - 2244 = 212*o for o.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:42 AM and 1:36 PM?\nAnswer: 714","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -4167*i - 7410*i + 1195759 + 245171 - 271653 for i.\nAnswer: 101","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Express (-8*r + 4*r - 9*r)*(599 - 298 - 173*r - 299) in the form b + n*r + q*r**2 and give n.\nAnswer: -26","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 23.5 + -4.5. Let p = -13 + z. Let n = p - 7. What is the biggest value in 0.3, n, 0?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(o) = -2*o**3 + 2*o**2 + o + 1. Let v be u(2). Let j be (4 - 3)\/(1\/v). Let t(y) = -7*y - 5. Let r(f) = 8*f + 5. Let k(p) = 6*r(p) + 7*t(p). What is k(j)?\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 414996?\nAnswer: 2, 3, 34583","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: (-5)\/6 - (-74 + 14267\/198)\nAnswer: 10\/9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (i + i + 0*i)*(0 + 0 - 2 + (3 + 3 - 4)*(-2 + 5 - 4)).\nAnswer: -8*i","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let a be 3\/(-1 - 19\/(-22)). Let w be (-1)\/(6\/20) - a\/(-33). Let i(z) = -4*z - 13. Let c be i(w). Solve -c*u - 1 = -4*u - 4*s, -2*s = -4*u + 22 for u.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 6*u - 5*u. Solve 5*o + 11 + 4 = u for o.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 3.42 - 3.72. Which is the third smallest value? (a) 0 (b) n (c) 0.5 (d) -4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (c**0\/c)**(-5)\/(c*((c**(-2\/5)*c)\/c)\/c*c\/(c*c**(-1\/7))) assuming c is positive.\nAnswer: c**(184\/35)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: -6 + 1 + (5 - -6) + -1\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let c(k) = -3*k**3 + 7*k - 7. Let f(g) be the third derivative of -g**4\/24 + g**3\/6 + 277*g**2 - 2*g. Determine -4*c(s) - 28*f(s).\nAnswer: 12*s**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let h(d) = d**3 + d**2 - d - 4. Let p be h(2). Solve -5*l - l = -p for l.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (m**2 - m**2 - 2*m**3)*(-5*m + 0*m + 2*m)*(-5 + 4 - 4) as h*m**3 + b*m**2 + t*m**4 + c + v*m and give t.\nAnswer: -30","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let g(h) = 5*h**2 + h + 2. Let t(u) be the first derivative of 3*u**3 + u**2 + 4*u - 18. What is 7*g(s) - 4*t(s)?\nAnswer: -s**2 - s - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) -3\/8 (b) -4 (c) -19\/2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Express (0*u + 2*u - 590 + 638)*(1 - 4 + 4) in the form p + k*u and give k.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve 70*l + 54*l - 32*l + 1616 = -1144 for l.\nAnswer: -30","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let x(t) be the first derivative of -t**3 + 28. Let g(q) = 11*q**2. Determine g(x(b)).\nAnswer: 99*b**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Sort -157754, 1\/5, -363, 2 in ascending order.\nAnswer: -157754, -363, 1\/5, 2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 1813 and 1813.\nAnswer: 1813","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) -1\/1580 (b) -2\/9 (c) -5 (d) -1 (e) -0.86\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let u(v) = -1. Let k be 35 + -27 - (3 - -2). Let z(x) = -x. Determine k*u(g) + z(g).\nAnswer: -g - 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -38*b - 13 = -4*q - 35*b, -5*q - 5*b = 10. Solve -r - g = 4, 3*r - 2*g - q = -3 for r.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out 0.03 + -46391.1581237.\nAnswer: -46391.1281237","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1208*a + 1083*a - 28777 + 81470 = 0 for a.\nAnswer: -23","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 430.3 + -421. What is the third biggest value in -2\/5, y, -2?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is -52 + -315?\nAnswer: -400","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Express 706*x**2 + 8 - 7*x**3 - 4*x + 26*x**3 - 710*x**2 + 2*x in the form f*x**2 + v*x + b*x**3 + q and give b.\nAnswer: 19","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 299 and 253?\nAnswer: 3289","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 28458610*g**2 + 44492081*g wrt g?\nAnswer: 56917220","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 300993827?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is -7813132 - -35?\nAnswer: -7813086","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (6*(3*(sqrt(475) + sqrt(475) + -1 + 3 + sqrt(475) - (sqrt(475) - (sqrt(475) - 3*sqrt(475)))*-5) + 1))**2*6.\nAnswer: 816480*sqrt(19) + 299192184","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 12\/25 of a litre?\nAnswer: 480","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-1*3*sqrt(153))**2 + 2.\nAnswer: 1379","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let a(p) = -11*p - 9. Let b(c) = -59*c - 47. Let u(s) = 15*s + 12. Let o(z) = 2*b(z) + 9*u(z). Let l be 3 + 22\/((1 - 3)*1). Determine l*a(g) - 5*o(g).\nAnswer: 3*g + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let j(k) be the first derivative of -7*k**2\/2 + k - 1. Let o be (-4)\/20 - (-12)\/(-15). Give j(o).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from iww. What is prob of sequence iww?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -19*h**4 - 6*h**4 - 19*h**2 - 2*h**2 wrt h.\nAnswer: -600*h","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Do 92478 and -713 have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0.1, 122\/615, -4 in descending order.\nAnswer: 122\/615, 0.1, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is -77\/10 smaller than -9?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 875 and 325.\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -0.3*131.3.\nAnswer: -39.39","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 242 + -431. Let o be -5*(p\/(-15))\/(-3). Calculate the remainder when 3\/((o\/(-82))\/(-7)) is divided by 21.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 14429 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in 18.8, 0, 4.13?\nAnswer: 18.8","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Add together 24268340.58 and 384.\nAnswer: 24268724.58","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let a be 7 + -3 + 4\/4. Solve 2*j - 6 = 2*k, a*j - 10 = 3*k + 9 for j.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -3 + (-5 + (sqrt(7) + (sqrt(252)*6 - sqrt(7)) - (sqrt(7) - -6*sqrt(28))) + (sqrt(28) - (sqrt(112)\/sqrt(4) + -3)) + 1)**2.\nAnswer: -46*sqrt(7) + 3701","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 102577\/49776 - -45\/1037. Calculate the common denominator of a and 1\/296.\nAnswer: 1776","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: -1480 divided by -370\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 59\/966400 and 89\/30200.\nAnswer: 966400","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (2 - 4)*3\/(-2). Solve -4*c + 25 = c, 0 = 4*p - 3*c + b for p.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from jgucgkccjukjyk. What is prob of picking 1 y, 2 k, and 1 u?\nAnswer: 6\/1001","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: How many months are there in 7\/2 of a decade?\nAnswer: 420","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 13074*s**3 - 2614*s**3 - 2612*s**3 - 2605*s**3 - 2616*s**3 - 2605*s**3.\nAnswer: 22*s**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let k(v) be the third derivative of v**4\/24 - 39*v**2. Let u(g) be the third derivative of -g**4\/6 + 5*g**2. Calculate 8*k(b) + 3*u(b).\nAnswer: -4*b","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (-5)\/(-7) + (-1)\/1. Which is the nearest to -2\/5? (a) 0 (b) -4 (c) m\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(h) be the first derivative of 13\/2*h**2 + 1\/3*h**3 + 8*h + 83. Determine m(-12).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 41968411?\nAnswer: 59, 711329","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let c(g) = 65*g**2 - 1. Let k(y) = 33*y**2 - 1. What is -3*c(i) + 5*k(i)?\nAnswer: -30*i**2 - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is -5 - (-2 + (-9 + 5 - 1))?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -399693 + -63507. What is i rounded to the nearest ten thousand?\nAnswer: -460000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in -2, -3.4, 4?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there in seven eighths of a week?\nAnswer: 8820","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -97\/6530 and 25\/1306.\nAnswer: 6530","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Express (-1 + 1 - u)*(-4*u**3 + 18*u**2 - 18*u**2) + (-5037 + 9419 - 2100)*(u**4 + 4*u**4 - 4*u**4) in the form w + s*u + i*u**3 + j*u**2 + t*u**4 and give w.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 2538059 to the nearest integer?\nAnswer: 136","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*y + 25 = 5*q, q + 3 = -y - 2*y. Let l(f) = f**3 - 9*f**2 + f - 9. Let k be l(q). Which is smaller: 7\/9 or k?\nAnswer: k","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 159 is divided by 67?\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -26617, -26609, -26601?\nAnswer: -26593","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = k - 4, m + 4*k + 2688 = 2*m. Suppose 5*c + 10675 = v, -c + 543 - m = 5*v. Let q = -1467 - c. Is q composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 1 + 3 = -4*z. Is z < -1\/2?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(w) = 9*w - 75. Let m be j(8). Put -2, 3, -7, m in descending order.\nAnswer: 3, -2, m, -7","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -2868*r - 100706 + 100706 as d*r + h and give d.\nAnswer: -2868","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Express 24671*u**3 + 10*u - 2*u**2 + 39*u**2 - 24674*u**3 - 10*u + 49 as z*u**2 + p*u + s + b*u**3 and give b.\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: 7 * 0.076\nAnswer: 0.532","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 e and 2 m when four letters picked without replacement from {m: 4, e: 2}.\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is -9 equal to 241?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 0 + 4. Suppose 0*y - o*b - 6 = y, y = 4*b + 2. Let v = y - -61. What are the prime factors of v?\nAnswer: 59","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(t) = -2*t**2. Let h(p) = -11*p + 21049961. Give h(q(d)).\nAnswer: 22*d**2 + 21049961","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: 1.1+8.289\nAnswer: 9.389","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 5*d + 10, -d - d = 4*o - 12. Suppose 0*k + o*k = 0. Suppose k = -5*u - x + 50, -3*x = 0. Solve y + u = -y for y.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 37848 in -2\/5, 1\/3, 2\/7?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 43103?\nAnswer: 43103","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 0 + (18\/(-30) - 18\/(-105))?\nAnswer: -3\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -308 + 317. Calculate the smallest common multiple of 88 and 152\/18 + -8 + 140\/f.\nAnswer: 176","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in 1, 269273, 3141?\nAnswer: 3141","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*v = -3*v + 324. Let x = -84 - v. Solve -2*a - 4*k = -10, -4*a + 2*k - x = 6 for a.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -2 - (0 + 6 + -4 + -4 - 4).\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 10 and 21476083.\nAnswer: 214760830","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -0.66 + 0.685. Let z = y - -0.275. What is the closest to 0.5 in z, 0.5, 4?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*l**5 - 7*l - 6*l**3 + 15*l + 48*l**4 - 44*l**4 - 8*l**2.\nAnswer: 2*l*(l - 1)**2*(l + 2)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 3\/50 of a kilogram in milligrams?\nAnswer: 60000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 224505699 to the power of 1\/5, to the nearest integer?\nAnswer: 47","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let q(k) = 100*k - 84*k - 26*k. Let h(a) = -3*a**2 - 2*a**2 - 5*a**2 + 2*a**2. What is q(h(y))?\nAnswer: 80*y**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 0 or -3\/211?\nAnswer: -3\/211","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.3239541171 rounded to five decimal places?\nAnswer: -0.32395","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in -1, 0.1, 1, -11, -3?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 66300963 to the power of 1\/3, to the nearest integer?\nAnswer: 405","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*u + 8 = 4*i, -4 = 2*u - 0*u + 4*i. Suppose -5*m - 153 + 90 = -2*l, -3*m = -2*l + 41. Solve -5*j = 10, 3*v + u = v - l*j for v.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many milligrams are there in 34927.6 nanograms?\nAnswer: 0.0349276","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let n(q) = q**3 - 6*q**2 + q - 6. Let t be n(6). Suppose -3*p = -t*p + 3. Let r be p - (1 - (-5)\/(-2)). Put 0.1, -4, r in decreasing order.\nAnswer: r, 0.1, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(g) = 55*g**3 + 2*g**2 - 3*g. Let w be s(2). Let k = w + -297. Is k prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.6743977mm in kilometers?\nAnswer: 0.0000006743977","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 144 and 126?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: 13 - (111 - (-7 + 23) - (0 + -2 - 2))\nAnswer: -86","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-39)\/(-45) + (-4)\/6)*(-7 - -62)?\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 40 = 8*r + 8. Let a be r\/4 + 5\/(-8). Which is smaller: a or 2?\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-28)\/6*102\/(-119)\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let r(i) = 5*i**2 + 101*i + 44. Let m be r(-20). Solve -y + m - 30 = -4*d, -y - 2*d = -6 for y.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*u + 1 = -19. Suppose 5*k + 7 = 4*w - 0*w, 25 = 5*k. Suppose 4*g + 0 = 76. Solve -4*o + g = -5*n, u*n + 3 = -4*o - w for n.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -0.241 - 2.459. Which is the smallest value? (a) -4\/5 (b) f (c) 2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence uvv when three letters picked without replacement from {c: 2, v: 7, u: 11}.\nAnswer: 77\/1140","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((d\/(d*d**1))\/d**(-32\/3))**(1\/7))**(-3) assuming d is positive.\nAnswer: d**(-29\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Round 6.853 to the nearest integer.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence amv when three letters picked without replacement from {v: 4, x: 1, z: 3, a: 2, m: 2}.\nAnswer: 2\/165","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is 2462311 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1971, -4, 3, 0.\nAnswer: -4, 0, 3, 1971","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is 15917761 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Find x such that -9*x**4\/5 + 69*x**3\/5 - 32*x**2 + 20*x = 0.\nAnswer: 0, 1, 10\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Factor -h**4\/2 + h**3 + 15*h**2\/2 - 16*h + 8.\nAnswer: -(h - 4)*(h - 1)**2*(h + 4)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 2 + 2*d**2 - 8*d + 138*d + 27*d to w*d**2 + c*d + m and give m.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Put -12.6, 746, 1, 2\/5 in ascending order.\nAnswer: -12.6, 2\/5, 1, 746","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let o(t) = -t**3 - 9*t**2 + t + 10. Let m(w) = 6*w**2 - 36*w + 40. Let y be m(2). Determine o(y).\nAnswer: -62","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 5.75 + -0.85. Let n = l + -5. Let o = -31.5 - -32.5. What is the biggest value in n, o, 9?\nAnswer: 9","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 21439 to the power of 1\/2, to the nearest integer?\nAnswer: 146","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 5*r - 20 + 12 + 8 - r**2 to n*r**2 + k + v*r and give v.\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -446 + 13381\/30. Let s(a) be the third derivative of 0*a**4 - 7*a**2 + k*a**6 - 1\/3*a**3 + 0*a + 0 + 0*a**5. Find the first derivative of s(f) wrt f.\nAnswer: 12*f**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*r + 9 - 1 = 0 for r.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Divide -4260 by 12.\nAnswer: -355","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let o(i) = -i + 2. Let t be 1 + -1 + (1 - 3). Let s be o(t). Differentiate 5*x**s - 3 + 5 - 4 with respect to x.\nAnswer: 20*x**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(s) = -4*s**2 - 2. Let n(k) = -17*k**2 + k - 9. Suppose -4*u = 35 - 107. Let x(c) = u*t(c) - 4*n(c). Find the second derivative of x(o) wrt o.\nAnswer: -8","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -195, 3, 24, 1\/6, 0.5, -0.3 in decreasing order.\nAnswer: 24, 3, 0.5, 1\/6, -0.3, -195","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) 0.1 (b) 173 (c) 1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 3388992?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve -47*z + 72 = -96*z + 55*z for z.\nAnswer: 12","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 t and 1 d when two letters picked without replacement from {b: 1, h: 3, m: 5, r: 1, d: 1, t: 2}?\nAnswer: 1\/39","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose x + 3*x + 3*o - 12 = 0, -2*o + 8 = 0. Let c = -0.38 + 1.58. Sort 5, c, x in descending order.\nAnswer: 5, c, x","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*d = 3*m - 830 - 1189, 0 = 3*d. Let r = -391 + m. What is the tens digit of r?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(d) = 2*d**3 - 5*d**2 + 3*d - 1. Let x be u(3). Suppose 2*q - q = 4*s + x, 0 = q - 2*s - 9. Let o(h) = -3*h**3 - h + 1. Calculate o(q).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (-1)\/4 - 50\/(-8). Let y(n) = n**2 - 2*n + 1. Let a be y(8). Suppose 0 = -k + a + s. Is k composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -24.3468445 rounded to 2 dps?\nAnswer: -24.35","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((x\/x**6*x**(-7\/6))\/((x\/(x*((x\/(x**(1\/5)\/x))\/x)\/x))\/(x\/(x*x**(-1\/5))*x)))**(-1\/12))**(-33) assuming x is positive.\nAnswer: x**(-341\/24)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let w(p) = p**3 + 8*p**2 - 9*p. Let m be w(-9). What is the third biggest value in m, -4, 0.2?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) -17 (b) 3 (c) -0.4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 376\/(-1833)*3\/4.\nAnswer: -2\/13","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 4217674561?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: (-11 - -1) + 24 + -18 - -8\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (-1 + 1)\/(5 + -6). Solve h = -2*r - 2*r for r.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(x) = -x**2 - 14*x + 8. Is b(-8) a multiple of 14?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (d*d**(-1))\/d**(4\/7)*(d\/d**(2\/3))**2 assuming d is positive.\nAnswer: d**(2\/21)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Convert 143 (base 9) to base 11.\nAnswer: aa","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*d = -656 + 640 for d.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -0.1 or 15\/14?\nAnswer: 15\/14","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let n(m) be the third derivative of -5*m**4\/24 - 8*m**3\/3 + 4*m**2. Let y be n(-8). Let s be 8\/y + 1\/(-3). Which is smaller: s or 1\/4?\nAnswer: s","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -2 in -1, 9, 4?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 708 minutes before 12:49 PM?\nAnswer: 1:01 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let x(f) = -f**3 - 6*f**2 + 2. Let q be x(-6). Factor 3*z + 19*z**2 - 3*z**3 - 19*z**q.\nAnswer: -3*z*(z - 1)*(z + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 0.2399 + -0.1399. Which is the third smallest value? (a) 1064 (b) 2 (c) j (d) 0.3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose c - 4 = -2*c - 4*w, -5*c + 30 = -5*w. Let q = 29 - 18. Calculate the remainder when q is divided by (-2)\/c + (-39)\/(-6).\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 1\/3 in -1\/3, -1\/2, -1\/5, 2\/135?\nAnswer: 2\/135","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 10211120103 (base 4) in base 7?\nAnswer: 13133310","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Factor -738*a**3\/5 - 180472*a**2\/5 - 3520*a.\nAnswer: -2*a*(9*a + 2200)*(41*a + 4)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let h be 730*1*(-1)\/2. Let r = -133 - h. List the prime factors of r.\nAnswer: 2, 29","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(y) = 117*y**2 + 27. Let d(l) = -9*l**2 - 2. Give 2*b(a) + 27*d(a).\nAnswer: -9*a**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5 = 3*q + 2*q - 5*w, -11 = q - 3*w. Suppose 0 = -v + 3*u + 26, 6*v = q*v - 3*u + 34. Calculate the remainder when 78 is divided by v.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 4917346417 to the power of 1\/2, to the nearest integer?\nAnswer: 70124","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let w be 4 + 1 + 0\/(-7). Suppose -b - n - 15 = -6*b, 0 = 5*b - w*n - 35. Let i be -1 - (0 + 14\/(-8)). Is i <= b?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(y) = -y**2 - 22*y - 34. Give t(-19).\nAnswer: 23","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -6 + 8. Solve -z*r - 8 = -6*r for r.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -20361, -40719, -61077?\nAnswer: -81435","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 37 a factor of 43828?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve -11*d + 0*d - 33 = 0 for d.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let g(p) = 7. Let u(q) = -q - 22. Let s be ((-1)\/(-2))\/(1\/(-4)). Let t(b) = s*u(b) - 7*g(b). What are the prime factors of t(6)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 273 a factor of 435708?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (-2)\/(-3)*-1*(-18)\/6. Let r(b) = 14*b**2 - 6 + 24 - 12*b**a + 38*b**2 + 18*b. Let i be r(19). Round i to the nearest one thousand.\nAnswer: 15000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -560*h**4 + h**3 + 174*h**2 + h wrt h.\nAnswer: -13440*h + 6","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1664 is divided by 30?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let b(i) = -21*i**2 - 277*i - 46. Calculate b(-13).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) 5\/4 (b) -1\/8 (c) 34 (d) -1\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 292 to the power of 1\/2, to the nearest integer?\nAnswer: 17","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Convert -110010 (base 2) to base 15.\nAnswer: -35","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*y - 2 = i + 5, -i = 4*y + 5 for i.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Determine z so that 92*z**5\/21 + 3862*z**4\/21 + 16532*z**3\/7 + 59256*z**2\/7 - 1296*z\/7 = 0.\nAnswer: -18, -6, 0, 1\/46","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: -40 divided by -6\nAnswer: 20\/3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-275052)\/10188 - -27)*-3.\nAnswer: -2\/283","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is (24\/(-7))\/((-2)\/63*-9)?\nAnswer: -12","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*y + 188200 = 4*d, 0 = 3*d - 19*y + 14*y - 141142. Is d\/9 + 6 + (-2)\/9 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -5*i + v + 45, -i + 6 + 9 = v. Suppose 3*d = 2 + i. Suppose -j = d*j - 46000. What is j rounded to the nearest one thousand?\nAnswer: 9000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((2 + sqrt(20) + sqrt(5))*-1 - sqrt(40)\/(sqrt(2)*2))**2.\nAnswer: 16*sqrt(5) + 84","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: -0.12 + -42111117989.67\nAnswer: -42111117989.79","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -0.6? (a) -11 (b) -1\/4 (c) 0 (d) -2\/3\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -1455 = -0*j - 5*j. Let f = j - 207. Let b(k) = 3*k**2 - 5*k + 1. Calculate the remainder when f is divided by b(4).\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -5330725*i**3 - i**2 - 1360378?\nAnswer: -31984350","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 47 and 1081?\nAnswer: 47","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(152)\/(sqrt(8)*-2*6).\nAnswer: -sqrt(19)\/12","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let u(t) = -4*t**2 - 10*t - 11. Let r be u(-2). Does 21 divide (r\/3)\/(50\/(-2250))?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 190160790 to the power of 1\/8, to the nearest integer?\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1066149 is divided by 20114.\nAnswer: 107","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -199 = 5*d - 44. Let h = 53 + d. Calculate the least common multiple of 8 and h.\nAnswer: 88","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (4\/10)\/(-11*7\/(-1155)).\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth biggest value in -0.3, 2\/21, -8\/101, -5, -1.3517, -4\/7, -1?\nAnswer: -1.3517","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ssx when three letters picked without replacement from ssxx.\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let w(b) = -b**3 + 2. Calculate w(2).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 262622035?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 1541, 3616, 5687, 7754, 9817, 11876, 13931?\nAnswer: 15982","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 5 + -3. What is the tens digit of 164\/16 - k\/8?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 553 minutes before 2:25 AM?\nAnswer: 5:12 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is 12844848463 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7*p - 20 = -2*p. Let y = p - -3. Let q = y - -4. Is q a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((i**(-1\/2)\/i*i)\/i*i**(1\/6))\/(i**(-1)\/i)**46 assuming i is positive.\nAnswer: i**(272\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 9 - 12. Let t be (-407)\/200 - g - 1. Let o = t + 4\/25. Find the common denominator of -5\/3 and o.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*z - 2*t = 20, t - 30 = -5*z + 5*t. Let v be (2\/(-5))\/(2\/(-5)). Let n = v - z. Is n smaller than 1\/5?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 21 - 25 + 16 - 12*c**2 + 32*c.\nAnswer: -4*(c - 3)*(3*c + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k be ((-96)\/(-286) + 80\/(-440))\/(4\/13). Does k = 0.3984?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -10 + 14. Let f be 20\/6*(-12)\/(-5). Let c = f - 5. Solve j - 2*r = -c, 3*j = -j + t*r for j.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the seventh root of 174784 to the nearest integer?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let b be 3\/(-2)*334\/(-501) + 150*1. Let v(s) = 19*s - 5. Let y be v(6). Let k = b - y. Does 8 divide k?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (f**3 - f**2 + f**2 + (f - 3*f + 4*f)*(-3*f + 3*f - 2*f**2))*(13 + 6 + 5)*(-1 + 0 + 0).\nAnswer: 72*f**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -a**4 - 18541*a**3 - 17*a**2 - 37*a - 4 wrt a?\nAnswer: -24*a - 111246","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve -45*s + 44*s = 0 for s.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is q in 5*q**4 + 26*q**3 + 21*q**2 = 0?\nAnswer: -21\/5, -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Sort -3, 10, -724, -2.\nAnswer: -724, -3, -2, 10","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 82 + -79. What is the smallest common multiple of q and 6?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(l) = l**3 - 12*l**2 - 20*l + 7. Suppose 7*g + 44 = 135. Let b be o(g). Let k be ((-7375000)\/3)\/((-1 - 6)\/b). What is k rounded to the nearest one million?\nAnswer: -30000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 u when two letters picked without replacement from wwwujjqwwqjwuwww.\nAnswer: 1\/120","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:18 PM and 10:01 PM?\nAnswer: 103","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: 128 times -2\nAnswer: -256","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(228)\/(sqrt(1452)*2).\nAnswer: sqrt(19)\/22","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 462 and 6545770?\nAnswer: 154","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is -1093.6 rounded to the nearest 100?\nAnswer: -1100","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: 140695 times -2632\nAnswer: -370309240","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 177 or 92498\/519?\nAnswer: 177","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is -11 - -10000000100?\nAnswer: 10000000001","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -149\/30 and -83\/126.\nAnswer: 630","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 163354*i*v**3 - 52*i*v + 12019430*v**3 with respect to i.\nAnswer: 163354*v**3 - 52*v","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let d(k) be the second derivative of -k**3\/6 - 3*k**2 - 2*k. Let z be d(-6). Factor s + 0*s + 0*s**2 + z*s**2 + s**2.\nAnswer: s*(s + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is -31 - 367?\nAnswer: -398","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose b = 5*b - 24. Suppose -6*y = -3*y - b. Suppose -2*i = -i - y. What is the units digit of i?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 34.9273795 to two dps.\nAnswer: 34.93","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 12143, 13415, 14703, 16007, 17327, 18663, 20015?\nAnswer: 21383","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 2 in -11, 0.5, 5, -1\/6?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 28*h - 25 + 25.\nAnswer: 28*h","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let j(w) = -5*w**3 + 6*w**2. Let f(t) = -9*t**3 + 11*t**2. Determine 6*f(u) - 11*j(u).\nAnswer: u**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Put 52, 2\/7, 5 in decreasing order.\nAnswer: 52, 5, 2\/7","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 360*w - 1030*w + 326*w + 334*w.\nAnswer: -10*w","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is -14 - ((15 - 18) + -8)?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((s**(-26)\/s)\/s**22*s*s**(2\/9)*(s*s\/(s*s*s**(7\/6)*s*s*s))\/s)**(-45\/7) assuming s is positive.\nAnswer: s**(4765\/14)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 42127783 is divided by 2451.\nAnswer: 2446","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in 1\/4, -1\/2, -0.2, 0.3, -4?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let u(i) = 1. Let v(b) = 23*b**2 - 2*b - 26. Let p = 108 - 107. Let o(r) = p*v(r) - 3*u(r). Find the first derivative of o(l) wrt l.\nAnswer: 46*l - 2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 0.08 smaller than -2.2173?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((2\/3)\/(1\/(-6)))\/1.\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -438 + 435. Let z(u) = -16*u**2 - 6*u - 10. Let b(p) = 13*p**2 + 5*p + 9. Let o(j) = -6*b(j) - 5*z(j). What is o(x)?\nAnswer: 14","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 75 and 225.\nAnswer: 225","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence dkzd when four letters picked without replacement from {j: 9, k: 1, z: 2, d: 2}.\nAnswer: 1\/6006","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -28*v - 123 = -31*v. Is 7 a factor of v?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 b, 2 s, and 1 u when four letters picked without replacement from sbbtusbustbb.\nAnswer: 2\/33","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -6105, -12066, -18027, -23988?\nAnswer: -29949","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3 = -5*w + 8, 4*j - 5*w = 3. What is the third derivative of -5*f**3 + j*f**2 - 15*f**4 + 33*f**4 - 16*f**4 + 17*f**3 wrt f?\nAnswer: 48*f + 72","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*b - 11 = 3*p - 5*p, -5*p = b - 14. Suppose -p*z - 4*z = -9863. Is z a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q be 10\/4 + (-2)\/(-4). Suppose 2*h + 2*v - 3 = q*h, 0 = -2*h + v. Let z(g) = -g - h + 1. Let i(o) = o**2. What is i(z(s))?\nAnswer: s**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 18 and 6804?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 87445220*r**2 - 9580*r**6 + 372*r**6 - 87455262*r**2 wrt r.\nAnswer: -1104960*r**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(u) = -2*u**2 + 3*u + 6. Let q(i) = -i**2 + i + 2. Let a(j) = -f(j) + 3*q(j). Let k(b) = -b. What is k(a(l))?\nAnswer: l**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -3 + 1. Let m(b) = b**3 - 6*b**2 + 2*b - 12. Let f be m(6). Suppose 4*z + 3*i + 26 - 7 = f, 22 = -2*z - 4*i. Put 3, z, o in increasing order.\nAnswer: o, z, 3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 122855 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 900.\nAnswer: 2, 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is 54 a factor of 28077379?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -0.1 and 482533.\nAnswer: -48253.3","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Expand (6*b - 6*b + 14*b**2)*(b + 0*b + 0*b) + 0 + 0 - 2*b**3.\nAnswer: 12*b**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: (275\/(-10))\/11*-2\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (w**(2\/5)*w\/(w**4\/w))**(1\/49)*((w*w**3)\/(w\/(w**(-1\/2)\/w)))**23 assuming w is positive.\nAnswer: w**(16889\/490)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 209\/4 + -52. Let i = -81.9 + 73. Let g = i + 9. Which is the nearest to -0.1? (a) -0.1 (b) g (c) w\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-1)\/(20\/(-16))*3*70\/21\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: -360 (base 8) to base 5\nAnswer: -1430","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let r(y) = -34*y**3 - y**2 + 93*y + 93. Let s be r(-1). Let l = 4 - 7. What is the remainder when (s - (5 + l)) + (0 - 2) is divided by 6?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (2\/(-44))\/(6\/(-24))?\nAnswer: 2\/11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -25\/84 and 64\/561?\nAnswer: 15708","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Convert 0.6415185 decades to centuries.\nAnswer: 0.06415185","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of 69, 56, 29, -18, -91, -196, -339, -526?\n\"Answer: -x**3 - x**2 - 3*x + 74","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 50 and 3450340.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let i(p) = -p + 3. Let r(t) = -10*t + 39. Let x(l) = 22*i(l) - 2*r(l). Let y(g) = 5*g**2. Calculate y(x(u)).\nAnswer: 20*u**2 + 240*u + 720","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 3 + -3.08. Let g be -3 + (1\/9 - -3). Which is the third biggest value? (a) p (b) 5 (c) g\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 121*s = -777 - 191 for s.\nAnswer: -8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -13 + 15. Let g(q) = 2*q - 2. Let d be g(j). Suppose 0*u - c + 3 = d*u, 2*u + 3*c + 7 = 0. Solve 2*x - 10 = -4*v, 5*x + u = -2*v - 3 for x.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 26892*b - 201884 = 24430*b for b.\nAnswer: 82","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 822 is divided by 90?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0.7 in 2\/7, -1\/7, 0.7?\nAnswer: 0.7","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 7 and 149429548?\nAnswer: 1046006836","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -606 - -607. Let h(t) be the first derivative of 0*t**2 + f + 0*t + 1\/3*t**3. Let q(o) = -4*o**2. Determine h(q(k)).\nAnswer: 16*k**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (-3 - 46\/(-8))*-4. Let k(b) = b**2 + 11*b + 3. Let p be k(r). Suppose -69 = -p*i - 6. Is i a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -16 = 12*w - 8*w, 4*w + 19 = i. Let a be (1\/3)\/(5\/45). Solve 0 = 2*n + k + 4, 1 = n - i*k + a for n.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (5 - -1)\/((-6)\/(-16)). Suppose g + 3*t = -0*t - 9, -9 = 2*g + 3*t. Solve 4*r - x = g, 3 - 23 = 2*i - 3*r for i.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (6\/(-4))\/((-15)\/(-6)). Let s = 18469 - 18468.9. What is the fourth smallest value in -2\/11, -4, x, s?\nAnswer: s","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 6570 and 315.\nAnswer: 45","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*b + 5*t = t - 16, 2 = -t for b.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 27*a**3 - 6878*a**2 + 3454*a**2 + 99*a**3 + 3424*a**2.\nAnswer: 126*a**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 11135 is divided by 3664?\nAnswer: 143","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 7664775 and 150.\nAnswer: 75","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let n(g) be the first derivative of g**4\/36 + 8*g**3\/9 + 32*g**2\/3 + 512*g\/9 + 24. Suppose n(f) = 0. Calculate f.\nAnswer: -8","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) 2 (b) -4\/3 (c) 0.6 (d) 1\/6\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) -2 (b) 4\/17 (c) 0.7 (d) 1021\/4 (e) -3\/4\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 0.0295 + -1.0295. Which is the nearest to 1\/2? (a) -0.5 (b) q (c) 4 (d) 3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -14 - 22 = -4*t. Let m = t - 14. Let a(x) = -5*x + 8. Let g be a(2). Put g, -4, m in decreasing order.\nAnswer: g, -4, m","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is -20 + 40f?\nAnswer: 3ef","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -0.2*-159728.\nAnswer: 31945.6","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(13) + (sqrt(13)*1 + sqrt(13))*1)**2 + sqrt(234)\/sqrt(2) + 5 + ((3*sqrt(3159))\/(sqrt(12)*1))**2.\nAnswer: 3*sqrt(13) + 9965\/4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is -2 + -343331?\nAnswer: -343333","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Work out 0.4 * -0.29.\nAnswer: -0.116","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 15 = -4*c - k - 2*k, -3*c + 10 = -2*k. Suppose c = 2*r - 9 - 1. Find the third derivative of 3*z**2 - 5*z**6 - r*z**2 + 3*z**6 wrt z.\nAnswer: -240*z**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 685129571?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -1.23 + 0.17. Let i = x - -1.0268. Let d = -0.03 - i. What is d rounded to three dps?\nAnswer: 0.003","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 272*u + 1892 + 3276 = 0 for u.\nAnswer: -19","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let d(g) = -24675398*g. Let s(b) = -2*b. What is d(s(t))?\nAnswer: 49350796*t","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Convert -1ac6 (base 14) to base 6.\nAnswer: -34330","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 27 + -25. Let f = 4 + 1. Suppose f = -g*o + 3*o. Solve 2*u + i = -u - o, 0 = u + 2*i - 5 for u.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*b - 2*z + 10 + 2, -5*b - 4*z = -9. Suppose b*i - 20 = -5. Suppose -145 = -i*o - 46. Does 10 divide o?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((2*sqrt(704) + sqrt(704) + sqrt(704))*-6)\/(((sqrt(484) - -1*sqrt(484)) + sqrt(484))*1).\nAnswer: -32*sqrt(11)\/11","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -10*v + 5*v + 2*h + 99, 5*h = -3*v + 47. Suppose 5*m + v = 9. Let d be -2*1 + 3 + -2. Sort d, -4, m in descending order.\nAnswer: d, m, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.0000003759718 to seven decimal places.\nAnswer: 0.0000004","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is -62 (base 13) in base 10?\nAnswer: -80","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 22 = 2*q + 3*s, 0*q = -4*q - s + 24. Suppose -q*l - 3*f = -133, 5*l - 3*f = -4*f + 141. Suppose -3*j - 2 = -l. What is the units digit of j?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*r - 38*r = 41*r - 776850. What are the prime factors of r?\nAnswer: 2, 5179","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 697 minutes before 3:13 AM?\nAnswer: 3:36 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 684056?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 151*r**5 + 157*r**5 - 282*r**6 - 462*r**5 + 154*r**5 + 236*r**2 wrt r.\nAnswer: -33840*r**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(x) be the first derivative of -662*x**5\/5 + 3*x**2\/2 + 5997*x + 11499. Differentiate l(o) with respect to o.\nAnswer: -2648*o**3 + 3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:12 AM and 4:44 AM?\nAnswer: 92","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-133)\/(-19)*(-16)\/28*21\/12.\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -0.384427440551 - -8245.384421547551. Let p = h + -8245. Round p to 7 decimal places.\nAnswer: -0.0000059","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 14\/1386*-12*6\/(-4).\nAnswer: 2\/11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 20 + -14. Let s(y) = 0*y - 2*y - y**3 + 4 + 2*y**2 - t. Determine s(2).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -1\/8, -3\/2, -5, -102 in decreasing order.\nAnswer: -1\/8, -3\/2, -5, -102","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Sort 35\/61, -1, -5, 3 in descending order.\nAnswer: 3, 35\/61, -1, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 23732 is divided by 4736.\nAnswer: 52","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (8\/(-5))\/(4\/(-10)). Suppose -s = b - 28 + 9, g*s - 99 = -5*b. Suppose -2*q + t + 86 = 2*q, -b = -q + t. Is q a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*c + 2*r + 19 = c, -5*r + 29 = 2*c. Let p(x) = x - 3 + 3*x - 2*x. Let b(u) = 19 - 7 - 3*u - 4 - 3*u. Calculate c*p(d) + 6*b(d).\nAnswer: -2*d - 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let j(k) = -43*k + 2146. Let t be j(50). Which is the second smallest value? (a) -3\/275 (b) 5 (c) t\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -31*k + 1324680 = -1939589. Is k prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*t = -47 - 683. Suppose 2419 - t = 26*c. Calculate the remainder when 472 is divided by c.\nAnswer: 77","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(j) = -182*j. Let v(i) = -4*i**2. Give v(b(a)).\nAnswer: -132496*a**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((j**(-6)*j)\/(j\/j**(4\/25)))**(4\/17) assuming j is positive.\nAnswer: j**(-584\/425)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let h(v) = 3201*v + 836*v - 1216*v. Let a(n) = -2*n**2. Give h(a(j)).\nAnswer: -5642*j**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve 371*d + 45 = 380*d for d.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is 1648770551 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_test"},"subset":"dm_maths"} +{"text":"Question: Let y = -0.043 + -9.757. Let r = -1 + y. What is r rounded to the nearest integer?\nAnswer: -11","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -6*o + 7*o = 4*i + 19, 4*o - 16 = i for i.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*d + 8 = 3*a, a - 2*d = -3*d + 3. Let v(s) = -s**2 - 29*s - 108. Let p be v(-25). Let f = a - p. Solve -f = -w - w for w.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 2 - 1. Let v = -16.96 - -17. Let p = v + 4.96. Which is the biggest value? (a) -3 (b) p (c) o\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*u + 3*v = 6, -4*u + 5*u = 4*v - 17. Suppose -u*p = -4*b - 3733, -5*p + 2*b + 4964 = -p. List the prime factors of p.\nAnswer: 3, 7, 59","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(f) = -3*f + 58. Let i be g(18). Suppose i*j = -2*m + 8*j + 14, 2 = -2*j. Solve -4*h = 2*s - m*h, 5*s + 4*h - 13 = 0 for s.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -3 by -7940569.\nAnswer: 3\/7940569","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Determine p so that 32*p - 18*p**3 - 553*p**2 - 3*p**4 + 565*p**2 + 5*p**4 = 0.\nAnswer: -1, 0, 2, 8","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 127*m + 1674*m = 129*m + 76912 for m.\nAnswer: 46","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -4760 divided by 1190.\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -c - 1 = -4. Let s(l) = l**c + 9 - l - 9 - l + 4*l**2. Give s(-4).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 477 divide 162652707?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is 50842933 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve 10 = -z + 15 for z.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Round -14.42965 to 0 decimal places.\nAnswer: -14","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between -23 and 15126622553250?\nAnswer: 15126622553273","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) 0.3 (b) -183\/4 (c) -3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let l(v) = 34*v - 500. Let x be l(15). Suppose -8\/3 + x*n**2 + 16\/3*n - 10\/3*n**3 - 2*n**5 - 22\/3*n**4 = 0. Calculate n.\nAnswer: -2, -1, 1\/3, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -125907*g + 125792*g - 4830 for g.\nAnswer: -42","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (-5 - -2)\/((-6)\/10). What is the third derivative of -5*f**2 + 6*f**2 - 2*f**5 + 5*f**q wrt f?\nAnswer: 180*f**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth root of 26064 to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-12)\/(-33) + (-803)\/(-121) - 8?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*u - 4*w - 36, 3 = -u - w + 2. Find the third derivative of -16 - 37*t**3 + 4 - u*t**2 - 121*t**3 + t - t wrt t.\nAnswer: -948","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (m**(1\/6)\/(m\/m**(-28)))\/(m*m**(-1\/8)*m*m*m\/(m\/(m\/(m*m*(m*m**(-7))\/m)*m))) assuming m is positive.\nAnswer: m**(-929\/24)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Convert 1.989895 decades to millennia.\nAnswer: 0.01989895","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let l be -1 - -1 - (1 + 12\/(-3)). Let d be (l\/6*8)\/4. Solve -3*z - 3*i + 4*i = d, 16 = 2*z - 4*i for z.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0.1 in -4, 1, -87, -1\/8, 2\/7?\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4 = -d + f - 2*f, -2*d = 4*f - 6. What is the second derivative of 18*y**5 + 20*y + 17*y + 8*y**d wrt y?\nAnswer: 520*y**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 134?\nAnswer: 2, 67","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: -420 (base 6) to base 3\nAnswer: -12210","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Express (2*h**2 - h - 3*h**2 - 3*h)*(h - 3*h + h) - 3*h**2 + 3*h**2 + h**3 + (4*h - 4*h - 2*h)*(h**2 + 0*h**2 - 2*h**2) as b*h**2 + j*h + l + v*h**3 and give j.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let o(c) = -29*c. Let y(r) = r. What is o(y(l))?\nAnswer: -29*l","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 23789457 to the power of 1\/7, to the nearest integer?\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth root of 11424 to the nearest integer?\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -3936 or -1.05?\nAnswer: -3936","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (-7 - -118)*(-4)\/3. Let v = q - -127. Let s(o) = o**3 + 21*o**2 + 12. What are the prime factors of s(v)?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -109*t + 7 = -3*s - 111*t, 4*t + 4 = 4*s for s.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence fl when two letters picked without replacement from rlrfrlfrltrffrnrr?\nAnswer: 3\/68","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -381 + 377. Let w(u) = -7 - 7*u - 7 + 0. Let v be w(q). Solve 0 = 4*h - a - v, -3*a = a - 8 for h.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.000014753 rounded to 6 decimal places?\nAnswer: -0.000015","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 60\/14 + (-17 - -13).\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1095901 is divided by 17.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -2984620 divided by -298462.\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -19 - -44. Let n(d) = -12*d - 4*d**2 - d**2 + 6*d**2 - 22 + h*d. What is the tens digit of n(-18)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 1.8? (a) -5.3 (b) -15\/436 (c) 3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 52543 = -48*j + 289711. Calculate the highest common factor of 81 and j.\nAnswer: 81","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: 102100210201122 (base 3) to base 5\nAnswer: 3021220322","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when ((-41580)\/264)\/((-3)\/8) is divided by 124?\nAnswer: 48","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 5667218922?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from iimxd. Give prob of picking 2 i.\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 7 - 12. Let i(m) = 1. Let p(b) = 2*b**2 - 2*b + 5. Suppose q - 1 = -2*a + 2, -4 = -5*q + a. Let f(j) = q*p(j) + y*i(j). Factor f(c).\nAnswer: 2*c*(c - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Product of -2 and -100912.\nAnswer: 201824","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = t + 3*t - 588. Let o = t + -80. Is o a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*o - 694 - 377 = 4*j, 1072 = 5*o - 3*j. Calculate the least common multiple of 3 and o.\nAnswer: 645","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(o) = o**2 - o - 2. Let s be z(3). Let d be 1 - (3 + (-8 - -4)). Let g = d - s. Put -1\/2, -4, g in descending order.\nAnswer: -1\/2, g, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -357 - -1153. What is the units digit of a?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is -1332041242 + -4?\nAnswer: -1332041301","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -5*j - 2*a - 713, -4*a + 147 = -12*j + 11*j. Let x = 377 + j. List the prime factors of x.\nAnswer: 2, 3, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(o) be the first derivative of 5*o**8\/2016 + o**7\/70 + 17*o**6\/720 - o**4\/36 - 19*o**2\/2 - 22. Let u(h) be the second derivative of c(h). Solve u(g) = 0.\nAnswer: -2, -1, 0, 2\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((o*o**1)\/o)**42*(o**0)**(-7\/3) assuming o is positive.\nAnswer: o**42","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is 85765397 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((p\/((p**(-23)\/p)\/p))\/((p*p**(-2\/3)*p)\/p))**(-2\/87))**(-35) assuming p is positive.\nAnswer: p**(5390\/261)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: 8308690 divided by -1661738\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Find q such that 737 + 743 - 75*q - 3*q**3 + 753 + 30*q**2 + 12*q**2 - 2197 = 0.\nAnswer: 1, 12","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the seventh root of 1124 to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 61200000 rounded to the nearest 1000000?\nAnswer: 61000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -5*(2 + sqrt(204)\/(sqrt(192) + -2*sqrt(192))).\nAnswer: -10 + 5*sqrt(17)\/4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 107200631?\nAnswer: 23, 359, 12983","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 448296?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let v(y) be the first derivative of 4*y**3 + 18*y**2 + 17. What is the second derivative of v(k) wrt k?\nAnswer: 24","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -4.01 - -4. Let l = 3.99 - f. Which is bigger: l or -1?\nAnswer: l","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -563436 (base 12) in base 9?\nAnswer: -2524256","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let t(j) = 123*j**2 - 13*j - 8. Calculate t(-1).\nAnswer: 128","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 113\/44208 and -71\/144?\nAnswer: 44208","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 30*4\/(-1)*1095\/(-1095).\nAnswer: 120","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let b be 31\/(-5) - (-7)\/35. Let k(x) = -3*x**3 - 3*x**2 - x + 11. Is k(b) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i be 186\/9 - (-1)\/3. Solve -2*g + 3 = -x - 0*g, i = 5*x - g for x.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(w) = -310*w - 4954. Let a be t(-16). Let f = -2 - 3. What is the second smallest value in 4\/3, f, a, 3?\nAnswer: 4\/3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -42 + (71 - (53 - -4))?\nAnswer: -28","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let q(i) = -5*i. Let w(c) = -8806*c + 9. Calculate w(q(z)).\nAnswer: 44030*z + 9","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is one quarter of a millimeter in micrometers?\nAnswer: 250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*y + 3*c = 0, -5*y + y = -3*c - 6 for y.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -58*y + 59*y = 2. Suppose -55*m - 160 = -135*m. Solve y*p + 2*p + 26 = 2*t, 0 = -2*p + m*t - 18 for p.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -242, -241, -240?\nAnswer: -239","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let d(g) = -g**2 + 30*g + 41. Calculate d(32).\nAnswer: -23","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is -1000100111011011011 (base 2) in base 15?\nAnswer: -589c1","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -92442 + 92446. Let a(j) = 12*j + 2. What is the remainder when a(6) is divided by w?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -95 - -101 - (-1 + (2 - 0)).\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 6416559?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 y and 1 f when two letters picked without replacement from yffuyuff.\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((((2*sqrt(672))\/sqrt(12))\/(sqrt(72)\/(sqrt(9) - sqrt(144))) + (sqrt(42)\/sqrt(2)*-4)\/sqrt(3) + 2)*-1)**2.\nAnswer: -40*sqrt(7) + 704","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_test"},"subset":"dm_maths"} +{"text":"Question: Let n(g) be the second derivative of g**8\/168 - g**6\/30 + g**4\/12 + 4*g**2 - g. Let j(q) be the first derivative of n(q). Solve j(c) = 0.\nAnswer: -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(k) = k**3 + 16*k**2 - k - 56. Let l be j(-16). Let s be 76\/20 + -4 + 215992\/l. Round s to the nearest ten thousand.\nAnswer: -10000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 625527?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let h(c) = c**3 + 9*c**2 + 10*c + 23. Determine h(-7).\nAnswer: 51","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 0 or 1\/11209?\nAnswer: 1\/11209","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -1608\/5 in 3, -2\/13, -2\/4741?\nAnswer: -2\/13","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from reeekebeeddkdb. Give prob of sequence kere.\nAnswer: 5\/2002","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (20\/21 + (-16)\/56)\/8.\nAnswer: 1\/12","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -111 - -1663\/15. What is the nearest to 1 in y, 0.4, -2?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(m) = m + 50. Calculate l(-24).\nAnswer: 26","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let v be ((89036970\/(-12))\/11)\/(1\/(-2)). Let y = 385045 - v. What is y rounded to the nearest ten thousand?\nAnswer: -960000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence oooa when four letters picked without replacement from {m: 7, o: 8, a: 1, p: 2}?\nAnswer: 7\/1530","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let -2*y**3\/5 + 10*y**2 + 52*y\/5 = 0. Calculate y.\nAnswer: -1, 0, 26","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 592 - 353. List the prime factors of p.\nAnswer: 239","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in 13, -0.1, 0.3, 0.5?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 9 minutes after 9:58 AM?\nAnswer: 10:07 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -781762 - -1779362. Suppose -h = 28*h + f. What is h rounded to the nearest 1000?\nAnswer: -34000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -881*o**3*v**3 + 9009*o**3*v + 420*o**2*v**3 + 23*o**2*v + 222*o**2 wrt o.\nAnswer: -5286*v**3 + 54054*v","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((m\/m**(2\/31))\/((m*m\/(m\/(m\/(m\/(m\/(m**(-1\/35)*m))))))\/m)*(m**8\/m)**(-1\/7))**(-17) assuming m is positive.\nAnswer: m**(1717\/1085)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 140 is divided by 91?\nAnswer: 49","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 6.03 + -6. Let g = 0.33 - a. What is the biggest value in -0.3, 5, g?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(p) = 53*p**2 + 36*p + 5. Calculate q(-1).\nAnswer: 22","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is (-3)\/(-3)*-3*164946\/13374?\nAnswer: -37","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.09 take away -0.4024?\nAnswer: 0.4924","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let v(y) be the second derivative of 65*y**3\/6 - 53*y**2\/2 + 5*y. Differentiate v(r) with respect to r.\nAnswer: 65","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -356995718 - -356995746.9999774. Let j = h + -29. Round j to six decimal places.\nAnswer: -0.000023","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -8404 or -1455?\nAnswer: -8404","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 218 + -148. Let q be (4\/46)\/(u\/15). Let f = q - -283\/2093. What is the nearest to -7 in 2\/3, 2, f?\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 280779480 and 81549.\nAnswer: 3650133240","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let c be 81\/3*(-6)\/(-18). Let s be -3 + 1 - (-2 - c\/3). Solve -2 + 5 = -4*l + f, -s*f + 9 = -l for l.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (g\/(g*g\/g**(-11\/4)))\/(g\/(g*g**(-19)*g)) assuming g is positive.\nAnswer: g**(-87\/4)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 47988942.299593 - 47988879. Let m = 0.13044 + -63.43044. Let f = m + x. What is f rounded to 5 dps?\nAnswer: -0.00041","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -21 - -77. Does 28 divide u?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is 3 - -18?\nAnswer: 1b","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Does 21 divide 3081414?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 1974 to the power of 1\/6, to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let v(u) = 3*u**3 - 5. Let d(q) = q - 5. Let l be d(0). Suppose -2*z + 4 = 4*k + 16, -2*z + k = -23. Let p(n) = 4*n**3 - 8. What is l*p(c) + z*v(c)?\nAnswer: 4*c**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -322*u**2 - 227*u**2 + 547*u**2.\nAnswer: -2*u**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of ((-44)\/4 + 6)*-119?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 17\/340438 and 17\/98?\nAnswer: 2383066","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4776 = -2*g - 5*p + 1000, 2*p = 5*g - 14440. What is the thousands digit of g?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -468, -937, -1406?\nAnswer: -1875","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 35809013 divided by 587033.\nAnswer: 61","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 120757937.\nAnswer: 1031, 117127","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 6 - 5 - -4 - 4.\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 5466741173?\nAnswer: 107, 51091039","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1, 13, 5 in descending order.\nAnswer: 13, 5, -1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (35\/25)\/((-924)\/(-1100)). Which is the smallest value? (a) 2 (b) 0.5 (c) 1\/10 (d) -4 (e) r\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(p) = -p**2. Let k be 0 + (4 - 2 - 8). Let n be 160\/12 - 4\/k. Let o(g) = -2*g**2 + n*g - 14*g. Give y(o(r)).\nAnswer: -4*r**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -3510*u + 5598*u - 61110 + 6822 for u.\nAnswer: 26","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -4 - -19. Let s be (166\/c)\/(1\/2). Let w = 22 - s. Sort w, -0.1, -0.3.\nAnswer: -0.3, w, -0.1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 38*v - 7872 = 22*v. List the prime factors of v.\nAnswer: 2, 3, 41","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a be -1 - (-4 + 5 + (-4)\/1). What is the second smallest value in 1, -0.12, -1, a?\nAnswer: -0.12","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (k*(k*(k**(1\/6)*k)\/k*k)\/k)\/k*k**(-2\/81)*(k**(1\/5)*k)**(8\/11) assuming k is positive.\nAnswer: k**(17951\/8910)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*o + 1 = 13. Let a(q) = -q**3 - 17*q**2 - 17*q - 13. Let r be a(-16). What is the first derivative of -r + 0*c**o - 6*c**4 - 2*c**4 wrt c?\nAnswer: -32*c**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(y) be the first derivative of -y**4\/4 + 33*y**3 - 1200*y**2 - 2500*y + 152. Factor a(t).\nAnswer: -(t - 50)**2*(t + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -66*g - 25*g**2 + 66*g.\nAnswer: -25*g**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let m be 12148\/16 + (-6)\/4. Let o = m - 762. Let a = -3403\/2 - -1658. Find the common denominator of a and o.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is u in -2*u**3 + 70*u**2 - 814*u + 3146 = 0?\nAnswer: 11, 13","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let g(v) = 6*v**3 - v**2 - 2. Let l be g(-3). Let j = l - -174. Which is the biggest value? (a) 0.4 (b) 0 (c) j (d) -0.1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -5*p**2 + 35*p + 90.\nAnswer: -5*(p - 9)*(p + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -6*(sqrt(156)\/(2*sqrt(1200) - sqrt(12)) - (sqrt(143)\/(sqrt(11)*-2) + 3))*1*6.\nAnswer: -378*sqrt(13)\/19 + 108","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let c(x) = x - 2. Let p = -5 + 18. Let s be c(p). Calculate the highest common factor of s and 88.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.1192538685 to 4 decimal places.\nAnswer: -0.1193","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Express (7*t**2 + 8*t - 8*t)*(6*t + 2*t + 11*t) + t**3 + t + 4*t**2 - 3*t - 3*t**2 in the form x*t**3 + a + o*t + i*t**2 and give i.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let o(l) = l**3 - 4*l**2 - 4*l - 3. Determine o(-2).\nAnswer: -19","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let m(r) be the first derivative of r**3\/3 + 6*r**2 - 15*r + 1. Is m(-14) a multiple of 13?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -13*a**2 + 90 + 98 + 93 - 268.\nAnswer: -13*a**2 + 13","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:01 AM and 1:44 PM?\nAnswer: 583","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*p = 6*p - 3*g - 16, -p = -g - 4. Let d be (-4168)\/(-10) + p\/20. Suppose -4*f + u = -d, 4*u + 174 = -5*f + 690. What is the hundreds digit of f?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -14070 - 51.34?\nAnswer: -14121.34","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is -14367416 (base 9) in base 14?\nAnswer: -d3890c","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let p(j) = 14*j**3 - 89*j**2 - 356*j + 289. Give p(9).\nAnswer: 82","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Convert -2614 (base 7) to base 11.\nAnswer: -821","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 3 + 1. Suppose 3*l + 0 = 5*t + 13, -3*t + w*l + 1 = 0. Let c be (t - 2)*(-3 - 12). Calculate the highest common divisor of c and 21.\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of -893197, -1786756, -2680319, -3573886, -4467457, -5361032, -6254611?\n\"Answer: -2*j**2 - 893553*j + 358","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Does 41 divide 40246?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -242, -603, -1196, -2015, -3054, -4307, -5768?\nAnswer: -7431","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let f(k) = k**2 - 5*k + 6. Let v be f(5). Let n be v\/15 + 3196\/10. Suppose -5*w = -u - 1552, -w + u = -4*u - n. What is w rounded to the nearest 100?\nAnswer: 300","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*n + 27 = -3*r, -n + 2*r + 7 = -0 for n.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let l(x) = -32*x + 32. Let m be (2 - 4)\/(2\/(-4)). Suppose 4*s - 3*r = -22, 5*s - m*r + 18 = -5*r. List the prime factors of l(s).\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 14, -16\/7, -101 in ascending order.\nAnswer: -101, -16\/7, 14","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Determine g, given that 80*g**5 + 1128*g**4 - 2549439*g**3\/5 - 91810186*g**2\/5 - 1832379*g - 228888\/5 = 0.\nAnswer: -51, -1\/20, 88","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 2211455 to the nearest integer?\nAnswer: 130","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let d(o) = -o. Let b(a) = 2*a**2 - 12*a - 2. Calculate -b(j) - d(j).\nAnswer: -2*j**2 + 13*j + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve i**3 - 235*i**2 + 928*i - 924 = 0 for i.\nAnswer: 2, 231","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is -178462.1858 rounded to the nearest ten?\nAnswer: -178460","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*r + z = -0*z - 3, 11 = -r + 3*z. Let h be (1\/r)\/(7\/(-4)). Factor 2\/7*q + 6\/7*q**3 - h*q**4 - 6\/7*q**2 + 0.\nAnswer: -2*q*(q - 1)**3\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(r) be the first derivative of -r**2\/2 + r + 161. Let h(k) = 5*k**2 - 10*k + 10. Let v(w) = 2*w + 10. Let s be v(-10). Determine s*g(j) + h(j).\nAnswer: 5*j**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let t(x) = 3*x**2 + 1063*x - 38308. What is t(33)?\nAnswer: 38","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Expand (r**3 + 2*r**2 - 2*r**2)*(3 - r**2 - 3) + 30*r**4 - 15*r**5 - 30*r**4 - 4*r - r**5 + 4*r.\nAnswer: -17*r**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (0 - -7) + (-7 - (-5 + 7))?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*p - 8 + 28 = -4*s, -p - 3*s = -11 for p.\nAnswer: 8","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Factor 3*f**3 + 2058*f**2 + 2037*f - 12330.\nAnswer: 3*(f - 2)*(f + 3)*(f + 685)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is -516 less than -927945396.6?\nAnswer: -927944880.6","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is 1740805387 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve -17*o = -16*o + 1, -7 = -3*w - 5*o for w.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let u(n) be the first derivative of n**2\/2 - 24. Let v(h) = 2*h**2. Give v(u(k)).\nAnswer: 2*k**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -2\/7? (a) -0.3 (b) -3 (c) -4\/5 (d) 1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -90 - -88. Let k(u) = -17*u**3 - u**2 + 3*u + 4. What is the tens digit of k(x)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 6*i**2*m**3 - 7*i**2*m**2 - 127*i*m**3 + m**3 + 315*m**2 wrt m?\nAnswer: 36*i**2 - 762*i + 6","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Does 499 divide 3286913?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {l: 9, x: 1, s: 1}. What is prob of picking 3 l and 1 x?\nAnswer: 14\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -83020417, -166040833, -249061247, -332081659?\nAnswer: -415102069","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let b be ((-2)\/(-4))\/((-2)\/(-8)). Suppose 3*t + 50 = 2*m, 4 - b = -t. Is m a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence lxr when three letters picked without replacement from {j: 2, x: 5, l: 6, r: 1, y: 2}.\nAnswer: 1\/112","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-4 - 6 + u + 20)*(-2 - 2 + 2)*(-25 + 25 - 9*u).\nAnswer: 18*u**2 + 180*u","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve 29*w - 794 + 939 = 0 for w.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*d + 28 = 16. Suppose -d*w = -4 - 8. Suppose 27 = 2*z + 3*z - 4*g, -2*z + 2*g = -12. Solve 4*x + 5*t = -12, z*x + 3*t - w*t - 10 = 0 for x.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(j) = 3*j. Let z(u) = -43400768*u. Calculate t(z(s)).\nAnswer: -130202304*s","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -15 + 26. List the prime factors of u.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: ((-14)\/(-64))\/((-20)\/(-320))*(-138)\/(-7)\nAnswer: 69","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Sort 5, 2\/15, -32 in descending order.\nAnswer: 5, 2\/15, -32","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = l - 3. Suppose -2*s + 3 = -l. Solve -3*h + 2 = r, s*h - 3*r = -3 - 3 for h.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 14 and 1593?\nAnswer: 22302","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in -4, 77.6418, -2\/3?\nAnswer: -2\/3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -1 + 5. Suppose -r*t = -5*d + t + 135, -3*t = 3*d - 75. Suppose 0*q = -2*q + d. Is 12 a factor of q?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(c) = -6*c + 1. Let u(n) = -n**3 - 9*n**2 + n + 11. Let a be u(-9). Let z = a - -5. What is the remainder when b(-2) is divided by z?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 22195?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {x: 5, y: 1, d: 1, a: 4, p: 1}. What is prob of sequence yxa?\nAnswer: 1\/66","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 2.037533 millennia in years?\nAnswer: 2037.533","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is (50\/(-40))\/(30\/(-48))?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is 198122 a multiple of 15?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (d\/(d\/(d\/((d**(-1\/4)\/d)\/d))))**(-13\/4)*(d**(-1\/4))**44 assuming d is positive.\nAnswer: d**(-345\/16)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -1.7 - 0.3. Let f = 42.5 + -37.5. Which is the closest to 0? (a) 3 (b) f (c) v\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1935521111 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: 1.255+-68\nAnswer: -66.745","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*r = -i - 4, 5*r + 2 = 3*r for i.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 101886.\nAnswer: 2, 3, 16981","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in 1, -3, 0, -2\/57?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((u*((u*(u\/(u\/(u\/u**(2\/9))))\/u*u)\/u)\/u*u*u)**(-1\/40))**(-29)\/((u\/(u\/(u*u\/u**(-8))))\/(u*u\/(u\/((u*u*u**(-4))\/u*u))))**(-1\/14) assuming u is positive.\nAnswer: u**(1411\/504)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(60) + -4*sqrt(60)*-2)\/(sqrt(12) + (sqrt(144) + (3*sqrt(144) - sqrt(144)))\/sqrt(12)).\nAnswer: 9*sqrt(5)\/4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((x\/(x**(-1\/3)*x))**(-4\/9)\/((x\/((x*x**(5\/3))\/x))\/x*x**(-5\/3)))**(4\/5))**(-1\/3) assuming x is positive.\nAnswer: x**(-344\/405)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 83727 and 4158.\nAnswer: 189","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Sort 3, -1, 12, 406 in descending order.\nAnswer: 406, 12, 3, -1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is -157745 (base 8) in base 14?\nAnswer: -16c61","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let u(i) = i**2 + 7*i + 5. Is u(29) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 27 - (4 - (4 + -14))?\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 6130443 and 506.\nAnswer: 253","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -23.41108860815 - 0.\nAnswer: -23.41108860815","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (3*((sqrt(72)\/sqrt(3) - sqrt(24))*3 - sqrt(24) - (-2*sqrt(216) + sqrt(24))))\/(sqrt(1152)*1*-1 - 5*(sqrt(1152) + -2*sqrt(1152))).\nAnswer: sqrt(3)\/4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is 6582409 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence bbvg when four letters picked without replacement from {g: 1, b: 5, v: 14}?\nAnswer: 7\/2907","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 17927?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*l - 5*x + 10 = 0, 5*l - 2 = -3*x + 20 for l.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let o(i) = 12*i. Let a(w) be the second derivative of w**4\/6 + 9*w. Give a(o(s)).\nAnswer: 288*s**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 223181 to the power of 1\/2, to the nearest integer?\nAnswer: 472","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is 2943752 at least as big as 2943750?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-12)\/312*(12 + -8).\nAnswer: -2\/13","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*q = -4*q - 2. Suppose q*i - 10 = 3*f + f, -2*i - f + 5 = 0. Determine b so that 26*b - 12 - 18*b**2 + 4*b**i - 3*b**3 + 3*b**3 = 0.\nAnswer: 1, 3\/2, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -8\/625 and -41.\nAnswer: 625","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 105 - 348 - -203 - (-21 - (1 - 3)).\nAnswer: -21","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 4\/(-3)*3*1\/(-12).\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -5*m + 20, 4 + 6 = 2*w - 2*m for w.\nAnswer: 9","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -23 - -34. Suppose 3*k - 12 = 0, 2*q + 3*k = -2*k + 84. Calculate the remainder when q is divided by h.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(m) be the third derivative of -m**8\/6720 + m**7\/1260 + m**6\/240 + m**5\/60 - m**4\/24 - m**2. Let a(w) be the second derivative of l(w). Give a(3).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*o + 2 = 4*s - 26, 16 = 4*s - 2*o. Let d = 9 - s. What is the third derivative of -2*r**2 + 3*r**6 - d + 4 wrt r?\nAnswer: 360*r**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 31253\/6 - 106273\/30. Let j = -33231\/20 + k. Calculate the common denominator of 11\/18 and j.\nAnswer: 180","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -g*l - 34*g - 65*l with respect to l.\nAnswer: -g - 65","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence zi when two letters picked without replacement from {i: 2, z: 2}.\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((d\/((d\/((d*d*d\/(d\/(d*d\/d**(-2))))\/d))\/d))**41)**29*d*d*((d\/d**(-2\/13))\/d)\/d*d**(-4)*d**(-1)*d\/((d\/(d*d**(-1\/13)))\/d*d) assuming d is positive.\nAnswer: d**(92704\/13)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1206758 is divided by 14?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -164 - -215. Calculate the greatest common factor of s and 3.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(g) = 2*g**3 - 2*g**2 - 24*g - 20. Give x(4).\nAnswer: -20","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 2988 - 2964. Which is the closest to 1? (a) 3\/8 (b) z (c) -2\/19\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (0 - -2 - 0) + -19 + -1 + 13.\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 0 + 3 + -84 + 36?\nAnswer: -45","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify n**3*n**(6\/5)*(n*n*n*n**(-6)*n)\/n**(-4) assuming n is positive.\nAnswer: n**(31\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of -117374733, -469498925, -1056372579, -1877995695, -2934368273, -4225490313, -5751361815?\n\"Answer: -117374731*l**2 + l - 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 11635 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: Suppose -579*v = -h - 581*v + 134913, 0 = 2*h + 3*v - 269819. Is h composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(c) = -2*c - 9 - c + 9. Let u(j) = -3*j. Calculate l(u(d)).\nAnswer: 9*d","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: (11 + 3 - 3) + (15 - (-55 + 74)) + -5\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is -47640 rounded to the nearest 1000?\nAnswer: -48000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: 2240656 (base 7) to base 5\nAnswer: 32410401","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Find m, given that 6\/7*m**3 + 0*m + 0 - 4\/7*m**2 + 24\/7*m**4 + 2*m**5 = 0.\nAnswer: -1, 0, 2\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 14727862 to the power of 1\/2, to the nearest integer?\nAnswer: 3838","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence rz when two letters picked without replacement from rrreerzrreerrzrr.\nAnswer: 1\/12","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Factor -4*l**2\/9 + 85048*l\/9 - 452072644\/9.\nAnswer: -4*(l - 10631)**2\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 16 = -b - 2*n, 2*b + 5*n = 3716 - 3757. Let i(f) = 5*f**2 - 4 + 2 - 5*f**3 - 2*f**2. What is i(b)?\nAnswer: -30","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(l) = l + 2. Let f be c(0). Find the first derivative of 607 - 6*a**f - 7*a**2 - 617 wrt a.\nAnswer: -26*a","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 3*a**2 + 3 - a**2 - 4*a**2 + a**2 - 2*a in the form v*a + f*a**2 + r and give v.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 68 - 112. Let m = t + 222\/5. Solve 4\/5*w**2 - 2\/5*w**4 - 2\/5 - 4\/5*w**3 + m*w + 2\/5*w**5 = 0 for w.\nAnswer: -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -y = -9*p + 14*p - 9, 5*p = 3*y + 13 for y.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 6 = 9*z - 12*z + 3*a, 4*z = -4*a + 48 for z.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of -10998, -21986, -32974, -43962, -54950?\n\"Answer: -10988*s - 10","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 376 minutes before 4:25 AM?\nAnswer: 10:09 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(70)*-3*4)\/(sqrt(10) + -3*sqrt(50)\/sqrt(5) + sqrt(10)).\nAnswer: 12*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -17 = -3*l - 5*d, 3*l - d - 9 = 2*d. Solve 4*j - 2*j - l = 0 for j.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 500153 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let z(r) = -8*r + 41. Let s(x) = -x + 1. Let i be (2 - 30\/33)\/(148\/814). What is i*s(c) - z(c)?\nAnswer: 2*c - 35","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 82 and 41?\nAnswer: 41","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let x(q) = 0*q + 0*q + 0*q - q. Let r(t) = -5*t**2 - 10*t. Let m(o) = r(o) - 6*x(o). What is the second derivative of m(c) wrt c?\nAnswer: -10","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (-2)\/(-4) + -6 + 5. Let q = -5.14 - -2.14. Which is the second smallest value? (a) 2 (b) y (c) q\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 706?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 22 + -18. Suppose m + j*i = 1, -1 = 2*m + 2*i + 3. Let z = -1.9 + 2. Which is the nearest to z? (a) -0.1 (b) 3 (c) m\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -32\/3 and ((-4)\/5)\/(1*(-54)\/(-30))?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 66435408 - 66435413.9999982. Let q = -272 + 278. Let z = q + g. What is z rounded to six dps?\nAnswer: 0.000002","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*u - 2*u - 272 = 0. Suppose -4*l - 76 = -3*y, y = -2*y - 4*l + u. Is y a multiple of 12?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(m) = -47*m - 10. Let u(h) = -4*h**2 + 3070*h - 3070*h + 0*h**2. Give u(j(w)).\nAnswer: -8836*w**2 - 3760*w - 400","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -397 + 399. Let i = -10 + 14. Suppose -3*j = -q*z - 8, j = -2*j + i*z + 4. Solve 2*o - j*o = 10 for o.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (f*f*f**(8\/3)*f)\/f**(-1)*(f\/f**(-1\/4))\/(((f*f**(-3)*f)\/f)\/f*f)*(f**(-4)\/((f*f*f**(-2)\/f)\/f))**(-8\/5) assuming f is positive.\nAnswer: f**(787\/60)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the eighth root of 3256304688 to the nearest integer?\nAnswer: 15","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Convert -16 (base 16) to base 6.\nAnswer: -34","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve -609*h + 1037 = -470 - 320 for h.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from zeezezezze. What is prob of sequence zzze?\nAnswer: 5\/84","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (0\/(4 - 7) - -147)\/(-45 - 2697\/(-62))?\nAnswer: -98","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -11*g + 1 + 3383*g**2 - 3436*g**2 + 20*g + 24*g.\nAnswer: -53*g**2 + 33*g + 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve -49*k + 41*k - 40 = 0 for k.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: -11770512.8+0.17\nAnswer: -11770512.63","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 220 and 1408.\nAnswer: 44","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -0.1 in -3, 282.75, -1\/8?\nAnswer: -1\/8","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let n(u) = -1093*u**2. Let c(x) = -10*x**2. What is c(n(m))?\nAnswer: -11946490*m**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 132 = -2*z - 2*l, -5*l + 48 = -z - 0*z. Let k be (8\/6)\/((-6)\/z). Calculate the greatest common divisor of 14 and k.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 8618604148.\nAnswer: 2, 7, 11, 1217, 22993","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 329831*t**2 + 5*t - 1047157 with respect to t.\nAnswer: 659662*t + 5","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*h - w - 8 - 62, 2*w = 2*h - 48. Let n(u) = u**2 - 9*u - 4. Let x be n(8). Let o = h + x. What is the tens digit of o?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -50 + 53. Suppose -49 = -b*y + 80. What are the prime factors of y?\nAnswer: 43","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 10*p**2 + 45*p - 25.\nAnswer: 5*(p + 5)*(2*p - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is 739 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is 27 - -b?\nAnswer: 32","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let u(v) = 1739*v - 27830. Give u(16).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let a be 3\/15 + 4\/50*12385. Let r be (78\/(-52))\/((-6)\/(-20)) + a. What is the greatest common divisor of r and 58?\nAnswer: 58","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (57 - 57) + (-3 - 29 - (-1 - 3)).\nAnswer: -28","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:43 PM and 2:32 AM?\nAnswer: 709","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (8*580\/8)\/(4\/(-16)). What is d rounded to the nearest one thousand?\nAnswer: -2000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is 271a + 4?\nAnswer: 2721","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let k(h) = h - 8. Let c(y) = 19*y - 258. What is c(m) - 5*k(m)?\nAnswer: 14*m - 218","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -45\/23732 and -109\/30712.\nAnswer: 522104","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve -15*c = 2*h + 63, 3*h - c - 97 = -121 for h.\nAnswer: -9","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ksk when three letters picked without replacement from sksk?\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Does 15 divide 1499900850?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is 16443100 - 10?\nAnswer: 16443060","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 33 is divided by 16?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 11 - 7. Let t be p\/(-14) + (-16)\/(-7). Solve -y - y + t = 0 for y.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*q - q - 48*u + 51*u + 652 = 625, 138*u = 4*q - 1242 for q.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 169 + -173. Suppose -2*q - q = -27. What is the remainder when (-29)\/(-2) + (4 - (-18)\/g) is divided by q?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(l) = 9*l**2. Let m(x) = -822*x**2 - 5378. Determine m(i(w)).\nAnswer: -66582*w**4 - 5378","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -7456 - -14616. What is the thousands digit of w?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 323610*d*o**2 - 96*d + 24*o**2*y + 3133*o*y + 22*o wrt o.\nAnswer: 647220*d + 48*y","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 3584.6229 + -1.4229. What is c rounded to the nearest 100?\nAnswer: 3600","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 4 and 859004606?\nAnswer: 1718009212","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (-4)\/(-2)*86\/43. Solve 3*h = d*v + 12, 1 = -5*v - h + 5 for v.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5637*a + 5*v = -5634*a + 14, -3*v + 2 = -5*a for a.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let m(s) = 0 + 7*s + 7*s**2 - 2*s - 4. Let k be m(-4). Round k to the nearest 10.\nAnswer: 90","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 69*y - 16 + 23 - 72*y + 2*y**4 to the form h*y**3 + o*y**2 + i*y**4 + p*y + m and give p.\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the tenth root of 28650344 to the nearest integer?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is 14975047469 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: 127.831 times -0.9\nAnswer: -115.0479","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -600 + 595. Sort -2, 78, x, 0 in decreasing order.\nAnswer: 78, 0, -2, x","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -39 + 39.04. Let l = 2.96 + u. Which is the third smallest value? (a) -1\/4 (b) -0.8 (c) l\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -12, 10, 0, 98, 4 in increasing order.\nAnswer: -12, 0, 4, 10, 98","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -3 - -2. Let f be (-8)\/(-28) - (-2335)\/(-14). Let n = f - -167. What is the closest to n in 5, h, -0.02?\nAnswer: -0.02","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(t) = -t**3 - 11*t**2 - 23*t - 13. Let f(s) = s**3 + s**2 + 3*s - 1. Let g be f(-2). Is h(g) a multiple of 29?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 7.619798 micrometers to nanometers.\nAnswer: 7619.798","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let j(n) = n**3 - n**2 + 2*n - 342. Let o(m) = -m**3 + m**2 - 2*m + 341. Let z(s) = 3*j(s) + 2*o(s). Let h be z(0). Let f = 29 - h. Is f composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-12)\/16*240\/72?\nAnswer: -5\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let p(g) = 3*g**3 - 11*g**2 + 6*g + 5. Let y(m) = 9*m**2 - m**3 - 4*m**2 - m**2 - 2*m - 2. Give 4*p(k) + 11*y(k).\nAnswer: k**3 + 2*k - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let m(p) = -16*p - 1. Let x(l) = -5*l**2 + 73. Determine m(x(k)).\nAnswer: 80*k**2 - 1169","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*d = 3*a + 95, -94 = 3*a + d + 7. Let x be (-16)\/88 - 171\/a. Suppose -x*h = -0*h + 2*p - 160, 0 = p + 5. What is the remainder when h is divided by 12?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 29 + 15 = 3*l - 2*i, -2*l - 3*i = -12. Let w be (-9)\/l*(-8)\/(-2). What are the prime factors of 16\/(-6)*w\/2?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u be 10512\/(6 - 0) + 0. Let s = u + 827. Is s prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 4952 and 1273?\nAnswer: 6303896","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -u = -5*n - 3, -2*n + 7*n + 45 = -5*u. Let r(h) = -h**3 - 6*h**2 + 3*h - 5. Let a be r(u). Let z = a - 6. Is z a multiple of 9?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -103? (a) 2 (b) -0.06 (c) -11 (d) -1\/6 (e) 5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 389 = 19*t - 235 - 22 for t.\nAnswer: 34","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0*k**2 + k**2 - 2*k**2)*(3 - 8 + 3)*(-3 + 4 - 5).\nAnswer: -8*k**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (5 + -1)*(-3 - 21\/(-6)).\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 33 = 4*j - 7. Let y = -92 - -248\/3. Let h = j + y. What is the nearest to h in 4\/9, 3\/5, 1\/4?\nAnswer: 3\/5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 3799 is divided by 21?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let k(c) = c**2 + 3970*c - 59775. Determine k(15).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -0.1? (a) -0.5 (b) 4 (c) 3.5 (d) 2\/5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((g*g\/g**(-5))\/(g**(-2\/11)*g))**(-17) assuming g is positive.\nAnswer: g**(-1156\/11)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let w(s) = -s**2 + 3 + 4*s + 0 + 8*s. Suppose 5*h = -9*p + 5*p + 76, -44 = -4*h + p. Let f be w(h). Solve -2*n + f*t + 11 = 0, 2 + 3 = -t for n.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(n) = -5*n**2 + 90888*n + 363561. Give b(-4).\nAnswer: -71","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: How many hours are there in 2.5986807s?\nAnswer: 0.00072185575","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -1012 - -1012. Solve -2*o + d = 5*y - 5, 0 = -5*y + 15 for o.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify b*b*b**(3\/5)\/b*b**31*(b*b**(-18)*b)**(-2\/79) assuming b is positive.\nAnswer: b**(13037\/395)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 560880293?\nAnswer: 560880293","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Expand (9*q - 95 + 95)*(-1 + 2*q**3 + 1) - 11*q**4 + 7*q**4 - 5*q**4 + 2*q**4 + 2*q**4 - 3*q**4 + (3*q**2 + 0*q**2 - 4*q**2)*(6*q**2 + 0*q**2 - 4*q**2).\nAnswer: 8*q**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -15248 + 7624 + 50*t**3 + 7624.\nAnswer: 50*t**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-11*j**4 - 8*j**4 + 15*j**4)*(-3*j + 4*j + 0*j).\nAnswer: -4*j**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is -10a (base 12) in base 15?\nAnswer: -a4","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 6666, 6638, 6586, 6510?\nAnswer: 6410","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(1300)*1*-3 + (sqrt(1300)*-2 + 2)**2 + -1 + sqrt(1300) + (sqrt(1300) - sqrt(1300)*-1) + -3.\nAnswer: -80*sqrt(13) + 5200","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -7 - (10 - (2 + 10 + 2))?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when (-656 + -20)*(-1)\/2*2 is divided by 139?\nAnswer: 120","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 99 divided by -9?\nAnswer: -11","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -238.73143 + 239.1. Round t to 1 dp.\nAnswer: 0.4","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -1.6999942 - -1.7. Round q to 6 dps.\nAnswer: 0.000006","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p be 1\/(-2)*12\/(-6). Is -10\/27 <= p?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3*d + 2*d + 0*d)*(1 - 2*d**2 - 1) + 6*d**3 + d**2 - d**2.\nAnswer: 8*d**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.00017604 to six dps.\nAnswer: 0.000176","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Round 948.1 to the nearest 100.\nAnswer: 900","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Factor 4*n**2 - 520*n + 16900.\nAnswer: 4*(n - 65)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 54900 to the nearest integer?\nAnswer: 38","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 17366 to the power of 1\/4, to the nearest integer?\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -3*i**5 - i**4 - 73*i**2 wrt i?\nAnswer: -180*i**2 - 24*i","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7*c - 3060 = 3*c. Suppose -5*g + c = -170. What is the remainder when g is divided by 10?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-3*r + 2*r + 288*r)*(5 + 5 - 2) to the form k*r + d and give k.\nAnswer: 2296","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -18*t + 37332 + 59112 = 0. What are the prime factors of t?\nAnswer: 2, 3, 19, 47","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -3*p**3*u**3 + 110*p**3*u + p**3 + 2*p*u**2 - 27*p*u - 3*u**3 wrt p?\nAnswer: -18*p*u**3 + 660*p*u + 6*p","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let 4*z**2 - 83216*z + 2326912 = 0. Calculate z.\nAnswer: 28, 20776","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -3283 + 3349. Put c, -2, 2\/11, -1\/3, 0 in descending order.\nAnswer: c, 2\/11, 0, -1\/3, -2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(a) be the first derivative of a**5 - 5*a**3 + 5*a**2 - 101. Solve b(h) = 0 for h.\nAnswer: -2, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: 4715 + -4730 + (-1 - (-2 + -43))\nAnswer: 29","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let k(i) be the second derivative of 7*i**3\/6 + i**2 + 5*i. Let g = -1 - -3. Does 7 divide k(g)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*s + 5485 = 3*z, 4*z - 4*s - 4059 = 3261. Round z to the nearest 100.\nAnswer: 1800","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -640 - 16168*h - 1044 + 16062*h.\nAnswer: -106*h - 1684","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*u - 84 - 120 = 0. Suppose 2*p - 87 = -33. Let q = u - p. Does 24 divide q?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(l) be the second derivative of -l**9\/3024 + l**7\/420 - l**5\/120 - l**3 + 3*l. Let a(d) be the second derivative of k(d). Factor a(s).\nAnswer: -s*(s - 1)**2*(s + 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(q) = q**2 - 6*q + 2. Let d be n(6). Suppose -h = d*h - 54. Suppose -4*p = -p - 6. Calculate the greatest common factor of p and h.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 354399 is divided by 69.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-420)\/50*(-7)\/3)\/((-140)\/(-350)).\nAnswer: 49","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:13 AM and 9:33 AM?\nAnswer: 320","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -1 = -q - 2. Let f(n) = -2*n**3 - 78*n + 398. Let u be f(4). Put 3, 4, u, q in descending order.\nAnswer: 4, 3, q, u","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 5, -4, -641, -0.3 in increasing order.\nAnswer: -641, -4, -0.3, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((k*k**(-6)*k*k*k**(-2\/7)*k)\/(k**7\/(k*k**6)))**(-4\/19) assuming k is positive.\nAnswer: k**(64\/133)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let s(b) = 135*b - 14. Let y be s(-3). Let l = y - -608. What are the prime factors of l\/18*(-4)\/(-3)?\nAnswer: 2, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(o) = -743*o - 543. Let v(j) = -3714*j - 2717. Let r(t) = -2*v(t) + 11*y(t). Find the first derivative of r(x) wrt x.\nAnswer: -745","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {u: 2, s: 5}. What is prob of picking 2 u and 2 s?\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is 667198061 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -22933\/6 + 3813. Which is bigger: -1 or v?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(t) = t**2 + 35899*t + 215386. What is n(-6)?\nAnswer: 28","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -2*u*w**3*z**3 + 7698*u*w**3*z - 156*u*w**2*z**3 - u*w**2*z + 2*w**2*z + 5*z + 2 wrt w.\nAnswer: -12*u*z**3 + 46188*u*z","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 0.02 + -0.02. Let z = -10 + 9.78. Let p = z - -0.02. What is the closest to 1\/2 in p, -4, l?\nAnswer: l","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 2021010010 (base 3) in base 13?\nAnswer: 17382","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -133*x**5 - 2*x**4 - 89*x**2 - x wrt x.\nAnswer: -7980*x**2 - 48*x","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let l(m) = -3*m + 2. Let z be l(-5). Let q be (2 + 1)\/((-3)\/(-5)). Suppose 0 = -2*k + 7*k - w - 32, -q*k - 3*w + 44 = 0. Solve -2*a - k + z = 0 for a.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -24*g + 11 = -21*g + 4*i, 0 = -3*i + 6 for g.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -65.79 + 69.79. Let g(s) = -s + 10. Let q be g(0). What is the closest to q in -5, c, 5?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -109*v - 584 = -880 - 903 for v.\nAnswer: 11","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (d\/(d**(-6)*d)*d*d*d*d\/d**(1\/3)*d)\/(d**(5\/2)*d**4)*(d\/(d**1\/d))\/d**(-7)*(d**(-1))**(-39) assuming d is positive.\nAnswer: d**(307\/6)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 3*f**2*n**2 + 52744*f**2*n - 1710*f**2 + 32681943*n**3 wrt n.\nAnswer: 6*f**2 + 196091658*n","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (-3)\/(-51)*-1*2. Let j = k - -44\/85. Suppose v + 1 = 5. What is the third biggest value in j, 3\/4, v?\nAnswer: j","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Add together -0.11713 and -1.9.\nAnswer: -2.01713","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (4 + (-180)\/42)\/(4\/(-56)). Let x(i) be the second derivative of 0 + 11\/10*i**5 - 8*i**2 + 2\/5*i**6 + 1\/21*i**7 - 4*i**3 + 8*i + 1\/3*i**a. Factor x(p).\nAnswer: 2*(p - 1)*(p + 1)*(p + 2)**3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.00000936222 rounded to 6 decimal places?\nAnswer: -0.000009","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 45328209 to the nearest integer?\nAnswer: 6733","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 14565661?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let h(s) be the second derivative of 3*s + 0 + 1\/2*s**2 - 1\/3*s**3. Let g be h(-2). Let v(y) = 2*y - 7. Calculate v(g).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-5)\/25)\/(4\/5).\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is -108\/271 bigger than 0?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 530238695.\nAnswer: 5, 7, 15149677","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 5 + 1. Calculate the remainder when i is divided by (-10)\/(-4)*(-48)\/(-40).\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 17*r - 14 = 10*r. Suppose 4\/7*n + 2\/7*n**r + 0 = 0. What is n?\nAnswer: -2, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -137948, -275698, -413452, -551210, -688972?\nAnswer: -826738","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let h(j) = 685*j + 74663. Determine h(-109).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let d(f) = -10*f**2 - f - 3. Let q(y) = -6*y**2 - 2. Let z(s) = -4*d(s) + 7*q(s). Let l be 2*1\/(2 + 0). Let h be z(l). Which is bigger: 6\/23 or h?\nAnswer: 6\/23","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 24 and 186.\nAnswer: 744","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 3705 and 5.\nAnswer: 3705","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.00000312545 rounded to 6 decimal places?\nAnswer: 0.000003","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: How many litres are there in 0.1543614ml?\nAnswer: 0.0001543614","meta":{"dup_signals":{},"source":"measurement__conversion_test"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is -169764 - -44?\nAnswer: -169720","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let a(i) be the second derivative of -i**5\/20 + 527*i**4\/12 - 11528*i**3 - 34848*i**2 + 791*i. Find w, given that a(w) = 0.\nAnswer: -1, 264","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 b and 1 g when three letters picked without replacement from {v: 3, b: 13, m: 1, e: 1, g: 2}?\nAnswer: 13\/95","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (n\/(n\/n**3))**(6\/19)\/(n**2*n**(-1\/6)\/n*n) assuming n is positive.\nAnswer: n**(-101\/114)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let l(c) = 6*c**2 + 11*c + 7. What is the hundreds digit of l(10)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(p) be the second derivative of p**6\/200 + p**5\/300 + 2*p**3\/3 - 3*p. Let o(c) be the second derivative of k(c). Factor o(i).\nAnswer: i*(9*i + 2)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -150, -243, -336, -429?\nAnswer: -522","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (25746 + 84)\/123 - 89.\nAnswer: 121","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*k**3 - 84*k**2 - 312*k - 304.\nAnswer: -2*(k + 2)**2*(k + 38)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 742?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve -s**5\/3 + 902*s**4\/3 - 66588*s**3 - 1638922*s**2\/3 - 3922555*s\/3 - 828100 = 0 for s.\nAnswer: -4, -3, -1, 455","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from rkrkkrrkkrkukupk. Give prob of sequence ru.\nAnswer: 1\/24","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -133, -493, -875, -1291, -1753, -2273?\nAnswer: -2863","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -1411 or 178.982?\nAnswer: 178.982","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence lm when two letters picked without replacement from cmlbmmcmu?\nAnswer: 1\/18","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let h(z) be the third derivative of -z**6\/20 + 3*z**5\/20 + 5*z**2. Find the third derivative of h(k) wrt k.\nAnswer: -36","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -1 or -192\/5153887?\nAnswer: -192\/5153887","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve -29*p + 30*p = -132*p - 532 for p.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence fx when two letters picked without replacement from {v: 3, q: 1, r: 1, x: 3, f: 2}?\nAnswer: 1\/15","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred millions digit of 549271950?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 7712139?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let 5*t**4 - 20*t**3 - 330*t**2 - 580*t - 275 = 0. What is t?\nAnswer: -5, -1, 11","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is (-390)\/819 - (-1)\/7?\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is 33 a factor of 511285533?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let t be 0\/(-1) - (-56)\/(-1). Let r be (-4)\/(-10) - 856\/40. Let p = r - t. Is p a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v be -1 + -2 + 14\/4. Suppose 8*q = 3*q + 10. Suppose -k - q*k = -6. What is the nearest to v in k, -2\/5, 0.1?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.0201 - 184759.1?\nAnswer: -184759.0799","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Put 162\/31, -4, -3 in descending order.\nAnswer: 162\/31, -3, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let y(k) = 1 + k + 6*k - 2. Let j(q) = 5*q - 1. Let u(l) = 32*l - 7. Let o(t) = -7*j(t) + u(t). Give o(y(h)).\nAnswer: -21*h + 3","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((r*r**11*r*r*(r**8\/r)\/r)**38)**(2\/7) assuming r is positive.\nAnswer: r**(1520\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 26\/18403 and -5\/478?\nAnswer: 36806","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*t + 2*d = -85, -t + 19 = -d - 1. Suppose -4*y + 23 + 21 = 0. Let i = 26 - y. Calculate the highest common factor of i and t.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(g) = -g - 37. Let f(k) = -k**2 + 8*k - 1. What is s(f(h))?\nAnswer: h**2 - 8*h - 36","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let d be 8\/12 + 46\/3. Calculate the greatest common factor of 16 and d.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of -29, -70, -163, -326, -577, -934?\n\"Answer: -3*i**3 - 8*i**2 + 4*i - 22","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Convert 57 (base 10) to base 3.\nAnswer: 2010","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from ddqddwdwddqwqwsdsddw. What is prob of sequence qd?\nAnswer: 3\/38","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -51*a**3*p**4*y + 2*a**3*y + 64*a**2*y - 2*p**4*y wrt p.\nAnswer: -204*a**3*p**3*y - 8*p**3*y","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence rn when two letters picked without replacement from {b: 6, w: 1, r: 1, x: 2, n: 2}.\nAnswer: 1\/66","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*c - 17 = -4*s, 0*s = -5*s + 2*c. Let k(x) = -x**2 + x - 1. Let j(q) = 2*q**3 - 15*q**2 + 4*q - 2. Calculate s*k(n) + j(n).\nAnswer: 2*n**3 - 13*n**2 + 2*n","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 6305?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Factor 4\/9*h**2 - 716\/9*h - 1448\/9.\nAnswer: 4*(h - 181)*(h + 2)\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a be 46\/(-253) - (-9000)\/11. Suppose 5*t = t + 916. Let u = t + a. Is u prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of u*x**3 + 1873*u + 18253189*x**3 + 7481*x wrt x?\nAnswer: 6*u*x + 109519134*x","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -0.8 + 18.8. What is the second biggest value in -4, d, 3?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (g*g**4*g*g**(-1\/4)*g**(-2\/11)\/g**(-3\/2))\/((((g**(-3\/4)*g)\/g)\/(g\/g**(-3)))\/(g\/g**(-1\/2)*g**2*g)) assuming g is positive.\nAnswer: g**(359\/22)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -10611*u**6 + 6*u**3 + 705018*u**2 wrt u.\nAnswer: -1273320*u**3 + 36","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 f when two letters picked without replacement from {f: 12, a: 1}.\nAnswer: 11\/13","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -80, -162, -244?\nAnswer: -326","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Does 5113 divide 1527240519?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*t + 0*t + 4*t)*(-6 + 3 + 2) + (4 - 5 + 0)*(t - 2 + 2) + 2*t - 7*t + 0*t.\nAnswer: -8*t","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 520 + -501. Solve 9*j + h + 8 = 0 for j.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(z) be the first derivative of -7 + 1\/2*z**4 + 70*z + 22*z**3 - 69*z**2. Factor x(b).\nAnswer: 2*(b - 1)**2*(b + 35)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(i) be the first derivative of -i**4\/4 + i**2\/2 - 7*i + 1. Let k = 4 + -4. Suppose j + 0*j = k. Calculate h(j).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2 - 2 + 2*h)*(-h**4 - h**4 + 0*h**4)*(2 - 4 + 4).\nAnswer: -8*h**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let q be 30\/(-1)*(-42)\/15. Let p be ((-2)\/4)\/((-14)\/q). Find the second derivative of 2 - 4*r + 0 - 2 - r**p wrt r.\nAnswer: -6*r","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -1\/70520285 and 52\/126936513.\nAnswer: 634682565","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 6 in -12, -1343, -41, -0.4?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let w be ((-24)\/15)\/(4\/(-15)). Let r be (-13 + 10)*(-10)\/w. Sort -1, r, 8, 4 in ascending order.\nAnswer: -1, 4, r, 8","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 26123150 to the nearest 100000.\nAnswer: 26100000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let q(u) = -1348*u - 5. Let l be q(-2). Suppose 0 = 13*w - l - 299. What is the remainder when w is divided by 58?\nAnswer: 56","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*r - 3*z + 31 = 0, 4*r + z = -33 + 6. Let q = r + 11. Let w(j) be the second derivative of j**4\/12 - 2*j**3\/3 - j. Calculate w(q).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: -2033424 (base 6) to base 15\nAnswer: -1e08d","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let z(h) = h + 10. Let k be z(-5). What is the nearest to 0.1 in k, -3\/5, 3?\nAnswer: -3\/5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1108603 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(18) + (sqrt(18) + sqrt(18)*-1)*4 + sqrt(288)*2)\/(sqrt(54)\/((-3*sqrt(12))\/sqrt(2))).\nAnswer: -27*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:54 PM and 6:39 PM?\nAnswer: 165","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*k = -2*k + 4*z + 4028, 3*z = -2*k + 4014. Suppose -484*x - 57689 = -432*x - 2829. Let i = k + x. Is i a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 745189 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: Let a = -27.555 + 0.055. Round a to zero dps.\nAnswer: -28","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.0124 times -65?\nAnswer: 0.806","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 788485 and 4185?\nAnswer: 155","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose t**4 - 8*t**2 + 16 = 0. Calculate t.\nAnswer: -2, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -15 + 1 + (11 - 9).\nAnswer: -12","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((j*j**(1\/5))\/j)\/(j*(j**6\/j)\/j*j*j))**(-1\/6) assuming j is positive.\nAnswer: j**(17\/15)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of 36, 60, 82, 102, 120, 136, 150?\n\"Answer: -r**2 + 27*r + 10","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 a when two letters picked without replacement from wawaaawawwwawamaamm.\nAnswer: 4\/19","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose g + 316 = 57. Let j = -128 - g. Is j a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 3\/2*(-24010)\/201684*(-16)\/(-10)?\nAnswer: -2\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let y(k) = 6*k + 32 + 0*k + 2*k - 2*k. Let t(h) = -2*h - 11. Let u(v) = 8*t(v) + 3*y(v). Calculate u(-6).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -18306 + 3*y + 18306.\nAnswer: 3*y","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 16202 to the power of 1\/2, to the nearest integer?\nAnswer: 127","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:46 PM and 4:59 AM?\nAnswer: 493","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let s(a) be the third derivative of 19*a**2 + 0*a**6 - 2\/3*a**5 + 0*a + 0 - 22\/105*a**7 + 0*a**4 + 0*a**3. What is the third derivative of s(c) wrt c?\nAnswer: -1056*c","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:21 PM and 11:04 AM?\nAnswer: 703","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is 2299009 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve -6*i = 36 - 78 for i.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Factor g**3 + 198435*g**2 + 9844013088*g - 9844211524.\nAnswer: (g - 1)*(g + 99218)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose z - 4*w + 5 = 21, 2*z = -5*w - 20. Let v be 77\/91 - (z + 1). Which is the third biggest value? (a) -5\/2 (b) 0.4 (c) v\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ffl when three letters picked without replacement from fttlffltfftffffflf?\nAnswer: 55\/816","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 98220422?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 113\/2886 and 1\/2.\nAnswer: 2886","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 z, 1 m, and 1 s when four letters picked without replacement from szmzbzazsz.\nAnswer: 2\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Divide -22 by 315837.\nAnswer: -22\/315837","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let r(s) be the second derivative of s**9\/5040 - s**7\/630 + s**4\/6 - 21*s. Let w(n) be the third derivative of r(n). Find the third derivative of w(z) wrt z.\nAnswer: 72*z","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -131\/144 and -127\/162?\nAnswer: 1296","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: 25\/15*40\/((-12200)\/(-8967))\nAnswer: 49","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -0.4 and 1975074?\nAnswer: -790029.6","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve 16392 = 213*r - 1579*r for r.\nAnswer: -12","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let g(v) be the second derivative of -v**7\/189 + 43*v**6\/135 - 193*v**5\/90 + 35*v**4\/18 + 38*v**3\/3 + 905*v. Solve g(w) = 0.\nAnswer: -1, 0, 3, 38","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t be -1 + (4\/6)\/1. Sort 1, t, -4 in increasing order.\nAnswer: -4, t, 1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 t and 2 g when four letters picked without replacement from mtmttmgtmtgttg?\nAnswer: 9\/143","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 943 - 1885\/2. Suppose 0 = 5*i + 4*n - 23, -2*i + n + 2 = -2. Factor -5\/8*u**2 - w + 1\/8*u**i + u.\nAnswer: (u - 2)**2*(u - 1)\/8","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the seventh root of 299109378 to the nearest integer?\nAnswer: 16","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -608101 or -608102?\nAnswer: -608102","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -9 + 64. Suppose -10*s + r = s. Solve -s = 2*v + 5 for v.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from vffywwvvfywhjjf. What is prob of picking 2 f?\nAnswer: 2\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 n when two letters picked without replacement from {n: 9, h: 7}?\nAnswer: 3\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let k(j) = 2*j**3 - 2*j**2 - j + 1. Let y(f) = 5*f + 22. Let z be y(-4). Let p be k(z). Solve -1 = 3*a - p, 5*i - 5*a + 35 = 0 for i.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -o = 3*v - 8, 7*o - 20 = -5*v + 2*o. Factor -3 - 3 + 4 + 2*c + 1 - c**v.\nAnswer: -(c - 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(d) be the third derivative of -d**8\/840 + 2*d**7\/175 - d**6\/75 - 3*d**5\/25 + d**4\/12 + 4*d**3\/5 + 36*d**2. Suppose k(g) = 0. Calculate g.\nAnswer: -1, 1, 3, 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 14 > 94\/7?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -o**2 - 3*o**2 + 5*o**2 - 3*o**2.\nAnswer: -2*o**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (228\/(-171))\/((-3)\/9).\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 866?\nAnswer: 2, 433","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 22356685 to the power of 1\/2, to the nearest integer?\nAnswer: 4728","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is -42 + 3?\nAnswer: -3c","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*w + 20 = 2*w. What is the second derivative of -2*k**5 - k + w*k**5 - 2*k wrt k?\nAnswer: 40*k**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 72454350?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 h and 1 q when three letters picked without replacement from {h: 10, q: 2}.\nAnswer: 9\/22","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let x(l) = -2*l**2 + 89*l + 1715. Calculate x(59).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is 1 at most -60.92?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Express (816 - 818 + 116*k + 401*k)*(-3*k**2 + k**2 + k**2) in the form n*k**2 + h*k**3 + z + m*k and give n.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Expand (b + 14*b**2 - 2 - 14*b**2 + 2*b**3)*(-2 + 2 + 3*b).\nAnswer: 6*b**4 + 3*b**2 - 6*b","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let n(f) = -f + 1. Suppose 35 = -2*j + 25. Let z(s) = -2*s + 1. Calculate j*n(m) + 3*z(m).\nAnswer: -m - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let t(b) be the first derivative of -7\/5*b**5 - 4*b**2 + 37 + 5\/3*b**3 - 6*b + 0*b**4. What is the second derivative of t(h) wrt h?\nAnswer: -84*h**2 + 10","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(b) = -b**3 + 14*b**2 + 32*b + 12. Suppose -34 = -u - 18. Let l be v(u). Suppose -2*s + 3 = -5. Solve -l = -s*q, 2*p - 5*q + 3 = -2*p for p.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 12.312 rounded to one decimal place?\nAnswer: 12.3","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Sum 31243128324 and 5.\nAnswer: 31243128329","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 217 minutes after 8:40 PM?\nAnswer: 12:17 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Expand (4*m - m - 4*m)*(m**3 + 3*m**3 - 2*m**3) - 19*m**2 + 7*m**2 - m**4 - 2*m**2.\nAnswer: -3*m**4 - 14*m**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 944554 or 944563?\nAnswer: 944554","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Product of -4 and -230843423.\nAnswer: 923373692","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 26645?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Does 13 divide 4 + (-117676)\/(-91) + (2\/(-14) - 0)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_test"},"subset":"dm_maths"} +{"text":"Question: Calculate 1201501400 divided by 240300280.\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve 7*d - d - 3 = 3*d for d.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: -18350160 divided by 5\nAnswer: -3670032","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: 0.1*122.23\nAnswer: 12.223","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*z - 1242 = q + 2*q, 0 = -q - 4. Let y = -176 - z. What is the greatest common divisor of 10 and y?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 1, 15785, -1, -5, 5 in decreasing order.\nAnswer: 15785, 5, 1, -1, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 429 minutes before 4:09 PM?\nAnswer: 9:00 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (b**(2\/7)*b)\/((((b**(-1)\/b*b)\/b*b)\/b)\/b)*(b*b**(-2\/3))**26*((b\/(b\/(b\/(b**(-9)*b))))\/b**(3\/7))**(-25) assuming b is positive.\nAnswer: b**(-604\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence nn when two letters picked without replacement from wtnfnwitnt?\nAnswer: 1\/15","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.20386 to two decimal places.\nAnswer: -0.2","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is -32 - 442344100?\nAnswer: -442344132","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Does 166 divide 9917670?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 8817206?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is 6004 - -142?\nAnswer: 6146","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 12 and 3368?\nAnswer: 10104","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Product of -3980 and 0.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let m(c) be the second derivative of 15*c**7\/7 - 3*c**6\/10 + 2443*c**3\/6 - 1621*c - 2. Find the second derivative of m(g) wrt g.\nAnswer: 1800*g**3 - 108*g**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -2719728 by 159984.\nAnswer: -17","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: -7 + -2 + 6 + -3 - (5 + -8)\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.4 times -5791?\nAnswer: -2316.4","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is 91272799 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Sort 3, 1, -3, -5 in descending order.\nAnswer: 3, 1, -3, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Factor 74*a**2 - 68*a - 6.\nAnswer: 2*(a - 1)*(37*a + 3)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 5704486150 to the power of 1\/6, to the nearest integer?\nAnswer: 42","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: 10b1 (base 12) to base 6\nAnswer: 12341","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*i - 5*k + 431, 45 = -i + 2*k - 59. Let f = i - -116. Solve -19 = 5*s - 4*q, 2*q = f*s - 3*s - 1 for s.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -151*z + 266 = 3*y - 155*z, -5*z = y - 76. Calculate the remainder when y is divided by 60.\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -5837 - -163433\/28. Sort -0.5, 2\/9, n in descending order.\nAnswer: 2\/9, n, -0.5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((((o\/o**(6\/7))\/o*o*o\/(o**(7\/5)*o))**(-13\/2))**(-28))**28 assuming o is positive.\nAnswer: o**(-32032\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -11064 + 1084207\/98. Find the common denominator of -17\/245 and i.\nAnswer: 490","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ve when two letters picked without replacement from eev.\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Convert -100110 (base 2) to base 4.\nAnswer: -212","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.00261 to three dps.\nAnswer: 0.003","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (5\/(-2) - -3)*14. Let k(a) = a - 3. Let l be k(c). What is the second derivative of -m**3 - l*m**3 + 2*m + 2*m**3 wrt m?\nAnswer: -18*m","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is -38bc + 219?\nAnswer: -36a3","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 169 is divided by 90?\nAnswer: 79","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -t - 5*v + 3 - 12, -4*t - 3*v - 2 = 0. Suppose -t = -2*k + 17. What is the least common multiple of k and 4?\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*x + 29 = -13. Suppose -11*a + x*a = -4. Is 4 - (-364 - (a - -2)) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (-14)\/44 + (-18)\/(-36). Sort 5, p, 0, 0.7 in descending order.\nAnswer: 5, 0.7, p, 0","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find v, given that 3*v**4\/5 - 384*v**3\/5 + 3282*v**2\/5 - 8256*v\/5 + 1071 = 0.\nAnswer: 1, 3, 5, 119","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is 5824879301 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-17)\/((-34)\/20)*-4*(-3)\/15.\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*u - 26 + 1 = 0. Suppose u*t = p + 50, 0 = -t + p + 5 + 1. List the prime factors of t.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 248211 to the nearest integer?\nAnswer: 63","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 3 f when three letters picked without replacement from {a: 4, g: 1, f: 5}?\nAnswer: 1\/12","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 2598 and 60106029.\nAnswer: 1299","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Sort -3, -4, 0.4, 3\/26 in descending order.\nAnswer: 0.4, 3\/26, -3, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 36 and 747?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is 582581 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is 121 a factor of 359913290?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Put -1\/16, -5\/4, 2\/447, -0.5 in ascending order.\nAnswer: -5\/4, -0.5, -1\/16, 2\/447","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let c be 175\/(-4650) - (-1)\/6. Put 3, 2, c in ascending order.\nAnswer: c, 2, 3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*d = -4*v + 24, -v + 23 = 5*d - 0 for d.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 2900911 divided by 78403.\nAnswer: 37","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is -20121341 (base 7) in base 9?\nAnswer: -3123652","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is -2511 greater than -2511?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is h in -h**2\/2 + 5529*h\/2 - 2349760 = 0?\nAnswer: 1049, 4480","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 687425 - 8936517\/13. Find j, given that 0*j + 0 + k*j**2 - 2\/13*j**3 = 0.\nAnswer: 0, 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (1\/(-1))\/(32\/(-128)).\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let j(t) = 4*t. Let d be j(-1). Let n be ((-6)\/d)\/((-12)\/(-2704)). Let g = -43 + n. Is g composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (-13)\/(156\/(-160))*(5 - -1). Calculate the greatest common divisor of n and 16.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 u and 1 z when two letters picked without replacement from gztvu.\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let u(s) = 3*s + 8. Let g(i) = 8*i + 11. What is 6*g(f) - 11*u(f)?\nAnswer: 15*f - 22","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -4 + 8 + 4 + -9.\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*s + 10 = 2*s. Let h(b) = 5*b**3 + 5*b**2 + 6*b + 12. Let l(t) = 13*t**3 + 15*t**2 + 16*t + 34. Let i(m) = -8*h(m) + 3*l(m). Determine i(s).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(g) be the second derivative of -3*g**8\/56 + g**6\/15 - 97*g**4\/12 - 4*g - 7. What is the third derivative of d(q) wrt q?\nAnswer: -360*q**3 + 48*q","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 1226*t**2 + 6*t**3 - 1582*t**2 + 356*t**2.\nAnswer: 6*t**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let u(b) = -1599*b**2 - 738*b + 738. Let q(x) = -2*x**2 - x + 1. Let t(p) = -738*q(p) + u(p). Let h(f) = -3*f. Give h(t(i)).\nAnswer: 369*i**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from uffufuffuuuuu. Give prob of sequence ufuf.\nAnswer: 28\/429","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*y + 9 + 3. Suppose -k = -5*k. Suppose k*l + y = -l. Is -3 bigger than l?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -1 + (-1 - 0) + (-2 - -5).\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 a and 2 f when three letters picked without replacement from ffaffafaff.\nAnswer: 21\/40","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Factor 3*c**4\/4 + 95955*c**3\/2 + 3069504471*c**2\/4 + 3068928765*c + 3068736867.\nAnswer: 3*(c + 2)**2*(c + 31983)**2\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 219*u - 238*u + 2565 = 0. Calculate the greatest common divisor of u and 54.\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 3\/3479 and 85\/45754317.\nAnswer: 320280219","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from rqdddrddddfrrqd. Give prob of picking 1 d, 1 q, and 1 r.\nAnswer: 64\/455","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*d + 2*p + 147 = 0, -57 = 2*d - p - 0*p. Suppose -224 = -3*m + 25. Let s = d + m. What is the greatest common factor of 6 and s?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from ggzgggzgg. Give prob of picking 2 z and 1 g.\nAnswer: 1\/12","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let w(t) = 5340*t - 1703459. Give w(319).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let f(o) = -1632332*o + 48969965. Give f(30).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*a - 2*v + 18 = 0, -16*v + 21*v = 25 for a.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose j**2\/3 + 9204546*j + 55227272\/3 = 0. Calculate j.\nAnswer: -27613636, -2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is 223330 + -11112221?\nAnswer: -10222231","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 45830?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (j**7\/j*j*j*j**(2\/5)*j*j*j*j*(j**(-1\/4)*j)\/(j*j**(-2\/19)\/j))\/(j**(-2\/29)\/j**(-3))**(1\/31) assuming j is positive.\nAnswer: j**(4495963\/341620)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let r(l) = 4*l - 2. Suppose 18*n + 185 + 13 = 0. Calculate r(n).\nAnswer: -46","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(x) = -18752*x**3 + 6*x**2 - 3*x - 2. Let s be a(2). Round s to the nearest ten thousand.\nAnswer: -150000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 1\/19? (a) -0.083 (b) -4 (c) 0.3 (d) 2 (e) 5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: How many hours are there in fifty-seven sevenths of a week?\nAnswer: 1368","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (2*(-1*sqrt(114)*-4 + 5*sqrt(114)*2))\/(6*(-4*2*sqrt(384) - sqrt(384))).\nAnswer: -7*sqrt(19)\/108","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of -115, 109, 493, 1055, 1813, 2785?\n\"Answer: 3*r**3 + 62*r**2 + 17*r - 197","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -r + 4*o = -262, o - 706 = -5*r + 646. List the prime factors of r.\nAnswer: 2, 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -18*m + 55*m**2 + 19*m + 13*m**2 in the form f*m**2 + r + c*m and give c.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 60*s + 41*s - 4*s - 5*s.\nAnswer: 92*s","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -15 = -12*t + 7*t. Suppose -62 = -2*g - z + 58, -t*g = z - 180. Does 5 divide g?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(u) be the third derivative of -u**6\/120 - u**5\/12 - u**4\/24 - u**3\/3 - 25*u**2 + 4. Let b = 19 + -18. Let t be 42\/(-9) + b\/(-3). Calculate s(t).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of (-10)\/65 + (-186)\/(-26)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p be -1 + (-5)\/(-7 - -2). Suppose p = 3*c - 12. Suppose c*a - 2*t = -102, -2*a + a - 4*t = 12. Does a = -23?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -0.3618 + 0.328. What is i rounded to 2 decimal places?\nAnswer: -0.03","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-13)\/234*-12*11\/((-66)\/90)\nAnswer: -10","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let f(b) = b**2 - 5*b + 21. Let v(s) be the first derivative of s**3 - 3*s**2 + 4*s - 5. Calculate the remainder when v(5) is divided by f(4).\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out -16 - 2249686.\nAnswer: -2249702","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -2? (a) 988 (b) -47\/4 (c) -37\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Are 43973 and 43961 unequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let s(r) = 2*r**2. Let o(q) be the third derivative of 0 + 0*q - 1\/2*q**4 + 2*q**2 + 0*q**3. Determine o(s(g)).\nAnswer: -24*g**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let v be 39\/117*(-1 - -1). Suppose -4*n + 9 = -n + 4*s, v = -n - 3*s + 3. What is the nearest to 0 in n, -49, 2\/13?\nAnswer: 2\/13","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -20 = 4*z - 4*k, 3*k - 10 = z + 5 for z.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1334588?\nAnswer: 2, 333647","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -0.1936 + 0.5936. Which is the nearest to 0.1? (a) 0.2 (b) u (c) -94\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is 440 + 4?\nAnswer: 444","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Express 4*b**2 + 3*b**2 - b + 12*b**2 in the form z*b + t*b**2 + g and give z.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 2766967 and 5909?\nAnswer: 52572373","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Total of 1 and -11003.3959.\nAnswer: -11002.3959","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 100097647 divided by -100097647?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let x(c) = c. Suppose -z = 2 - 4. Let o(a) = 6*a**2 + 3*a**z - 5*a**2. Determine x(o(f)).\nAnswer: 4*f**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -0.9 + 38.9. Let f = 635 - 596.9. Let t = f - y. What is the smallest value in -2\/19, -0.2, t?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in 43, 3, -27.4, -0.3?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Add 5214 and -13.\nAnswer: 5201","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Does 13 divide 110?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -g + 4 = -1, 3*g - 15 = -t. Suppose -5*n + 20 + 0 = t. Solve -3*y + n*d = -4*y, -2*y - 3*d = 0 for y.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*u = 5*d - 4112, -4*u = 3*d - 2772 - 1348. Suppose 0 = 5*q + 4*j - 2721, 5*q - 1680 = -2*j + u. Does 28 divide q?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 3846295?\nAnswer: 5, 769259","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 954?\nAnswer: 2, 3, 53","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0, -3, -2, 84, 1 in descending order.\nAnswer: 84, 1, 0, -2, -3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (0 + 1)\/((-3)\/(-3)). Let y = -1 + c. What is the units digit of 0 + 6 - y\/2?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 23411 is divided by 7797?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 54*q + 140 = 61*q. Suppose 0 = -6*z + q*z. Which is the fourth biggest value? (a) -3\/2 (b) 7 (c) -5 (d) z\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -63 + 2 + (5 - (-6 + 3 + 12 + -1)).\nAnswer: -64","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let f be 15\/10 - (-2)\/4. Suppose 0 = -f*q + 5*q - 12. Differentiate -2 + 5*y**4 + 1 + q - 2*y**4 with respect to y.\nAnswer: 12*y**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.0000855 to 5 decimal places.\nAnswer: 0.00009","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 636 minutes before 7:35 PM?\nAnswer: 8:59 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 10*d = 523 - 43. Solve -d + 45 = y for y.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -7 + 4 + 3074*i**2 + 3.\nAnswer: 3074*i**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence qjsq when four letters picked without replacement from ssssjsssssqsqs?\nAnswer: 1\/1092","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Express 2*k**3 - 5*k + 260 + k**4 + 6*k - 226 + k - k**2 - k**3 in the form p*k**4 + r*k + j*k**3 + t + b*k**2 and give r.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is -2 minus 1127850265?\nAnswer: -1127850267","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 3610?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in -4, 34, -2\/17, 5\/2, -0.5?\nAnswer: -2\/17","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth root of 651 to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (0 + (sqrt(171)*1*-1 + sqrt(171) + sqrt(171))\/((sqrt(9) - (sqrt(9) + sqrt(90)\/(sqrt(30)\/sqrt(3)) - sqrt(9))) + sqrt(9))*2)**2.\nAnswer: 76","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is 2 + -bf?\nAnswer: -bd","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 38 and 494.\nAnswer: 38","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 4 s when four letters picked without replacement from {w: 5, s: 7}?\nAnswer: 7\/99","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -119, -130, -141, -152, -163?\nAnswer: -174","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 701734591 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 40809 and 209397.\nAnswer: 669","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 785 is divided by 773?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: b1 (base 12) to base 16\nAnswer: 85","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 17046?\nAnswer: 2, 3, 947","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 578075318, 1156150637, 1734225956, 2312301275?\nAnswer: 2890376594","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*b - 117 = -147. Suppose -b*i - 346 = -1132. What are the prime factors of i?\nAnswer: 131","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(d) be the first derivative of -769*d**4\/4 - 1606*d - 1572. Find the first derivative of q(l) wrt l.\nAnswer: -2307*l**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 605 minutes after 7:35 AM?\nAnswer: 5:40 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -57.023 - -57. Let p = h - 4.377. Round p to the nearest integer.\nAnswer: -4","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 5 - -4. Let w(z) = 5*z + 7. Is w(l) a multiple of 21?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-s**2 + 2*s**2 + 0*s**2)*(-2 - s + 2)*(-1113 + 751 + 556)*(33*s - 155*s - 3*s - 64*s) to the form n*s**2 + l*s**3 + h*s + k + d*s**4 and give d.\nAnswer: 36666","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let i(u) = -4*u + 6. Let s(o) = 6109*o. Calculate s(i(l)).\nAnswer: -24436*l + 36654","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (c**4\/(c\/c**(-4)))\/((c*c**(2\/11))\/c*c**(2\/15))*(c\/(c\/c**0*c)*c)**(-19)\/(c**(-2)*c**(-3)\/c) assuming c is positive.\nAnswer: c**(773\/165)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 g and 1 a when two letters picked without replacement from kkgcackiigccigxkki.\nAnswer: 1\/51","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (i**(-1\/2)*i\/(i**3\/i))\/((i*(i\/(i*i*i**(-1)))\/i*i)\/i*i)**(-37)*(i**(-1\/2)*i\/i**(-2\/5))**(-40) assuming i is positive.\nAnswer: 1\/sqrt(i)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*n + 5 + 5 = 0. What is the second derivative of 0*l - 3*l**4 + n*l + 3*l**4 - 2*l**5 wrt l?\nAnswer: -40*l**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: 24949 times -5\nAnswer: -124745","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 2139096 is divided by 2138841?\nAnswer: 255","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -7016245\/4 + 1754062. Factor 0*s + 0 + 9\/2*s**2 - r*s**3.\nAnswer: -3*s**2*(s - 6)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 239197 is divided by 239170?\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0.63498 + 4.85.\nAnswer: 5.48498","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is (5\/70)\/(-13 - (-131)\/10)?\nAnswer: 5\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(g) = g**2 - 6*g**2 - 7*g**2. Let u(a) = a - 3. Let i(t) = t - 1. Suppose 5*l - 3*y = -18, 7*l - 3*y - 12 = 12*l. Let d(b) = l*i(b) + u(b). Give x(d(j)).\nAnswer: -48*j**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 1 divided by -87?\nAnswer: -1\/87","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let q(o) = 69*o**2 - 50*o + 149. Let u be q(3). What is the greatest common factor of u and 160?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -114 - -291. What is z rounded to the nearest 10?\nAnswer: 180","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3 - 10 + 3 - 2 - 3 + 3 + (-4 + 0 + 2)*(-3 + 3 - 2))*(3 - 4 - 1)*(-6*w - 2*w + 4*w).\nAnswer: -64*w","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 650 is divided by 213?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 32431649 to the power of 1\/2, to the nearest integer?\nAnswer: 5695","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -59\/84126 and 97\/336504.\nAnswer: 336504","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -0.007 and 0.06?\nAnswer: -0.00042","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between 2079.6 and 188432292?\nAnswer: 188430212.4","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in one quarter of a litre?\nAnswer: 250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -6*p**3 + 43*p**3 - 39*p**3.\nAnswer: -2*p**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 6795 or 6796?\nAnswer: 6796","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let p(x) be the second derivative of 8*x + 1\/2*x**2 + 0 - 1\/6*x**3. Suppose 0 = 3*g - n - 11, 5*g - 3*n = 7 + 10. Calculate p(g).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 572 minutes after 5:23 AM?\nAnswer: 2:55 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -6*d - 2767 - 5111. Let j = d + 2368. Is j a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: -4ab3c (base 13) to base 4\nAnswer: -201232030","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: 7 + (-4 - 5) + -10 + 5\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is -4.6489 rounded to the nearest integer?\nAnswer: -5","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let o(p) = 7*p**2 + 7*p + 2. Let g(w) = 12*w**2 + 13*w + 4. What is 6*g(b) - 11*o(b)?\nAnswer: -5*b**2 + b + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1382561539.\nAnswer: 1382561539","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is (1 - 3\/2)\/(6\/(-10308)) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 22*c + 0*c + 29*c + 6*c - 3*c.\nAnswer: 54*c","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: -1 + 5\/3 + 552\/48 + -13\nAnswer: -5\/6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth biggest value in 2, 0, 2\/13, -20495, -3, -2\/19?\nAnswer: -20495","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is -7 + -10 + (9 - 3 - 0)?\nAnswer: -11","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 5\/10*12\/21?\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2007041766?\nAnswer: 2, 3, 8837, 37853","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Express -1 + t**2 + 1 + (0 - t + 0)*(-t - t + 0*t) + 142*t**2 + 83*t**2 - 339*t**2 as z*t + m*t**2 + i and give m.\nAnswer: -111","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 59, 65, 83, 119, 179, 269?\nAnswer: 395","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -11.03 - -10.63. What is the closest to 2\/7 in -1\/2, 0.3, 5, j?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(240)\/(sqrt(10)*-1))\/sqrt(8).\nAnswer: -sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 271 - 192. Let m = 189 + s. What is the tens digit of m?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:11 PM and 12:35 AM?\nAnswer: 504","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let u(g) = 3*g - 3. Let z(t) = -4*t + 146. Determine u(x) + z(x).\nAnswer: -x + 143","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 600778508.\nAnswer: 2, 11, 61, 223837","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let d be 99\/12 + (-6)\/24. Let n be 24\/(-108) - d\/(-63). Which is smaller: n or -2?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(b) = 519*b + 37*b - 2223*b - 1849*b. Let s(p) = 6*p**2. What is z(s(k))?\nAnswer: -21096*k**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*x**3 + 56*x**2 - 112*x - 480 = 0 for x.\nAnswer: -2, 6, 10","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Sort -5, 1, 215329, -30 in descending order.\nAnswer: 215329, 1, -5, -30","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 12 and 20.\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1075892 is divided by 803.\nAnswer: 675","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 598 is divided by 342?\nAnswer: 256","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 77 minutes after 7:43 PM?\nAnswer: 9:00 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of -9, -12, 1, 36, 99, 196, 333?\n\"Answer: c**3 + 2*c**2 - 16*c + 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is (11 - 0 - 7) + 0 + 0?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in 2\/103, 3, -0.4, -1\/4488, 7, -1, 4?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.10130794537 to six decimal places.\nAnswer: -0.101308","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let j(g) = -g**3 + g**2 + g + 2. Let d be j(-2). Let z(t) = t**2 - 11*t - 9. Let v be z(d). Put v, -1, 12 in ascending order.\nAnswer: -1, v, 12","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*l**3\/17 - 58*l**2\/17.\nAnswer: 2*l**2*(l - 29)\/17","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -25*z = -10*d - 29*z + 13314, 5 = 5*z. Which is smaller: d or 4?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 68490?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: -1085 divided by -5\nAnswer: 217","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 14658 = 6*w - 7908. Is w composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -y**4 + 6*y**4 + 4 - 3*y**4 + (-2*y**4 - 2*y**2 + 2*y**2)*(4 - 3 - 2) as p*y + z + m*y**2 + q*y**4 + t*y**3 and give q.\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: How many litres are there in 781.959ml?\nAnswer: 0.781959","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -1231061 - 128739. Round s to the nearest one hundred thousand.\nAnswer: -1400000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: ((-2660)\/(-456))\/(790\/(-711))\nAnswer: -21\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is -69933 + -6?\nAnswer: -69939","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let o(d) be the first derivative of 127*d**7\/42 + 11*d**4\/6 - d**2 + d - 52. Let k(z) be the first derivative of o(z). Find the third derivative of k(u) wrt u.\nAnswer: 7620*u**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -2 and 77010113?\nAnswer: -154020226","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -108 divided by -54.\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: 2 times -1.09\nAnswer: -2.18","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve -10 = -11*z + 4*z + 12*z for z.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 332770412.\nAnswer: 2, 13, 223, 28697","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is 63 a factor of 2835?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of (-1 - (-43)\/7)*7\/2 and (3\/(-4))\/((-20)\/160).\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.00002435 to 5 dps.\nAnswer: 0.00002","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (-15)\/(-24)*(396\/(-140) + 3). Let k = q + 5\/28. Let v = 0.6 + 0.4. Put v, k, -1 in increasing order.\nAnswer: -1, k, v","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 733 to the nearest integer?\nAnswer: 27","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*d + 4156 = b, -5*b + 24183 = d + 3367. Is b a multiple of 12?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 10 - 3. Let n = 7 - 4. Suppose m + 3*m - 4*a = 84, n*m = -a + 59. Calculate the remainder when m is divided by v.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*c = -18 + 56. Let b = -17 - c. Let n = 16 - b. What are the prime factors of n?\nAnswer: 2, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: -623770 (base 8) to base 2\nAnswer: -110010011111111000","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 19208?\nAnswer: 2, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -7 + 4. Which is smaller: -2 or x?\nAnswer: x","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 156 - 152. Let o(b) be the third derivative of 1\/30*b**5 + 0 - j*b**2 + 0*b + 0*b**3 + 1\/12*b**4. What is the second derivative of o(a) wrt a?\nAnswer: 4","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: -5102454 (base 6) to base 8\nAnswer: -730002","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let o(i) = -66*i + 1515. Let z(j) = 1259*j. Give z(o(g)).\nAnswer: -83094*g + 1907385","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 77\/20952 and -103\/688824?\nAnswer: 66815928","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -9527 - -9527.00045694. Round k to five decimal places.\nAnswer: 0.00046","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1, 5, 0.2, -51.\nAnswer: -51, -1, 0.2, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (28\/(-21))\/(5\/(135\/6)). Let u be 11\/((-8)\/l + -1). Suppose 0 = -3*g - 5*w + u, -1 + 12 = g - 4*w. Solve -3*c = 5*f + 10, 4*f - 3 = c - g for f.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 45*x - 12*x - 14*x + 67*x in the form v*x + f and give v.\nAnswer: 86","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) 3102 (b) -3 (c) -0.3 (d) 5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 296681467?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(38) + (sqrt(456)*2)\/sqrt(12) + sqrt(342)*-2)\/((sqrt(28)\/(sqrt(49)\/sqrt(7) + sqrt(7)))\/sqrt(2)).\nAnswer: -6*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let j(k) = k**2 + 93*k - 818. What is j(-101)?\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let s(t) = -4280*t. Let q(b) = 89*b. Let y(j) = -48*q(j) - s(j). Let d(l) = -30*l - 21. Let z(h) = 3*h + 2. Let x(c) = 2*d(c) + 21*z(c). Calculate x(y(i)).\nAnswer: 24*i","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0.2? (a) 7 (b) 0.111 (c) -334 (d) 1\/4\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) -5.44 (b) 1 (c) 0.2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -4 + (4 - -7) - 20.\nAnswer: -13","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-16)\/128*2)\/((-1)\/(-76))*-1?\nAnswer: 19","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*x - 575 = -35. Is x a multiple of 18?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3 = s + d, 0 = -814*d + 818*d - 8 for s.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 21 + -16. Suppose -z*s = -9*s + 1104. Suppose -8*k + 12*k - s = 0. What is the tens digit of k?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 6556.\nAnswer: 2, 11, 149","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let p(r) = -r**3 + 3*r**2 - 2*r + 3. Let k be p(3). Let w = k - -5. Suppose -4*b = c + 9, 3*b + 1 = 3*c - 2. Put b, w, 0 in ascending order.\nAnswer: b, 0, w","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (5\/((-35)\/(-6)))\/((-176)\/5544*18).\nAnswer: -3\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let o(u) = 3*u**2 - 306*u + 5437. What is o(79)?\nAnswer: -14","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Sort 3, 7, 11, 24 in decreasing order.\nAnswer: 24, 11, 7, 3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is 325568 a multiple of 32?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let c(u) be the first derivative of -u**4\/4 - 6*u**3 - 8*u**2 + 20*u - 771. Determine c(-17).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 6 + -8. What is the nearest to 1\/4 in 3\/4, m, 3\/2?\nAnswer: 3\/4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 4.5*759.6846.\nAnswer: 3418.5807","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let r(v) = -v**3 - 2*v - 1. Let x(q) = 3*q**3 - 49*q**2 - 111*q - 2. Let u(i) = 5*r(i) + x(i). What is the second derivative of u(y) wrt y?\nAnswer: -12*y - 98","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 9*b - 1459 = 1457. Suppose 0 = -b*q + 319*q + 235. What is the remainder when q is divided by 6\/2*5 + 1?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -2 or -554?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Expand -1 + 2*w**3 + 1 + (-w**2 - 2*w**2 + 5*w**2)*(2*w - w - 3*w) + (0*w - w**2 + 0*w)*(3*w + w - 3*w).\nAnswer: -3*w**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 125 and 6400?\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let y(t) = t + 1. Let h be ((-2)\/4)\/((-2)\/12). Let a be y(h). Suppose 2*v - 8 = -2*x - 2*x, 4*v - a*x - 28 = 0. Is v prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -2*w + b - 1, -4*w - 2125*b + 2133*b = 32 for w.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 26770?\nAnswer: 2, 5, 2677","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 210 to the nearest integer?\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((((i\/(i**(1\/9)*i*i*i))\/(i**(-5)\/i))\/(i**(1\/4)\/i**0))**(-3\/14))**(-1\/11) assuming i is positive.\nAnswer: i**(131\/1848)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.2 less than 268522507323176?\nAnswer: 268522507323175.8","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let c(w) = w**3 + 19*w**2 - 8*w - 23. Let i be c(-19). Find the second derivative of i*f**2 + 4 + 2 - 3 - 119*f - 4 wrt f.\nAnswer: 258","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1211053 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 326161918 and 582?\nAnswer: 194","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 0 + g**4 + 3*g + 6*g - 1 + 0 to the form d*g**2 + i*g**4 + o*g**3 + f + h*g and give h.\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((a**(-2\/3)\/(a\/(a\/(a\/(a**16\/a)))))**(-15))**(1\/72) assuming a is positive.\nAnswer: a**(-25\/9)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -107\/20 and 1\/(-3) - 8\/(-32).\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 814970096116 plus -5.5?\nAnswer: 814970096110.5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2, -351, 20, -6, -2 in descending order.\nAnswer: 20, 2, -2, -6, -351","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let w**4 - 113*w**3\/4 - 53*w**2 + 15*w = 0. What is w?\nAnswer: -2, 0, 1\/4, 30","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: (-45446)\/1302 - 56\/(-4) - (-17 + -4)\nAnswer: 2\/21","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is 45231 + -2141?\nAnswer: 43050","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (2 - 0)\/(1 + (-4)\/12). Suppose p*s + 0*u + 7 = -4*u, 5*u + 35 = 5*s. Does 16 divide 312\/(s\/8*4)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(18)\/(sqrt(36)\/(sqrt(4)*-2 - sqrt(4))).\nAnswer: -3*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*a = 25, -w + 102 - 10 = -2*a. What is the units digit of w?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -25 = 5*a + 5*b, 0 = b - 1 - 2. Let n = -4 - a. Round n to zero dps.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 679 minutes after 4:07 AM?\nAnswer: 3:26 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 1105521845 to the power of 1\/3, to the nearest integer?\nAnswer: 1034","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let z(j) be the third derivative of -5*j**6\/8 - j**5\/12 + j**4\/6 - j**3\/2 - 90*j**2. Is z(-5) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 85 and 867.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let u(h) = 14*h**2 + 22*h - 17. Let s be u(-11). Let l be 82\/s - (-2 - 13\/(-7)). What is the nearest to l in 0.1, -1, 2\/7?\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is -10010 - 10010?\nAnswer: -100100","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -8 + 10. Let c(p) = -p**2 + p + 2. Let q be c(z). Suppose q = -5*g + 15 + 5. What is the units digit of g?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-4*(sqrt(112) + (sqrt(112) - sqrt(112)*2*1)))**2 + (3 + sqrt(252) + -1 - (4 + -1*sqrt(7) - (sqrt(700) - (0 + sqrt(700)))))**2.\nAnswer: -28*sqrt(7) + 347","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 65\/28 - 29\/12. Let l be (-8)\/(8\/(-4))*54\/1188. What is the closest to 0 in p, l, 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 576051533.\nAnswer: 383, 929, 1619","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let y be 270\/72 + (-13)\/(-4) + -4. Suppose -k + 3*m - 11 = 0, 4*k - k - 5*m + 17 = 0. Sort -2, 0, k, y in descending order.\nAnswer: y, k, 0, -2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6 = -g + 18. Solve -3*w + 0 = -g for w.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(t) = 2*t + 16 - 53 + 42. Calculate w(6).\nAnswer: 17","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((p*p**(-2\/7))\/p)**(-7)\/((p**(-4\/3)\/p)\/((p*p**1)\/p)))\/((p*(p\/p**(1\/3))\/p*p*p)\/(p**(-4)*p))**(2\/43) assuming p is positive.\nAnswer: p**(218\/43)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let p(v) = 65*v**3 + v**2 - 65*v + 1. Let d(b) = -b**2 + b - 1. Let r(m) = -d(m) - p(m). Find the second derivative of r(u) wrt u.\nAnswer: -390*u","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -1 + 0 - ((12 - 7) + -9).\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 195815214403 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 1667928 (base 10) in base 15?\nAnswer: 22e303","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let o(m) = -m**3 - 6*m**2 - 13*m + 4. Let b be o(-4). Calculate the greatest common divisor of b and 32.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -33, -384, -1337, -3192, -6249, -10808?\nAnswer: -17169","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose f + 18 = -4*d, -4*d + 72 = -4*f - 40. Let j = 564 - f. What is the lowest common multiple of 16 and j?\nAnswer: 4720","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(j) = j**3 - 43*j**2 + 33*j + 365. Give z(42).\nAnswer: -13","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is 145909093 a multiple of 407?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 6 - 5.6. Let q = 11 - 13.6. Let r = -2.8 - q. Which is the smallest value? (a) -1\/4 (b) w (c) r\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*h - 5*n - 54550 = -3*n, -3*h + 54552 = -3*n. Suppose -i + h = -17760. Suppose w = 24058 + i. What is w rounded to the nearest ten thousand?\nAnswer: 60000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: -0.05 - -2843\nAnswer: 2842.95","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -41\/1083 and 46\/12711?\nAnswer: 241509","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let s(w) be the third derivative of 0*w + 0*w**3 - 1\/120*w**5 - 4*w**2 - 1\/16*w**4 + 0. Factor s(l).\nAnswer: -l*(l + 3)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0.1? (a) -3\/5 (b) -95273 (c) -0.7 (d) 0.3 (e) -0.5\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Round 30312.1 to the nearest 100.\nAnswer: 30300","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -2584 or -2583?\nAnswer: -2583","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 18154 and 464?\nAnswer: 58","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -m + 3 = -3*m + 3*l, 4*l + 65 = -5*m. Let y be (-34)\/(-10) + m\/(-15). Suppose 29 = 2*v + 3*n, -y*n - 2 = 2. List the prime factors of v.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -l**4 - 1232*l**3 - 75*l**3 - 3*l + 2*l - 982*l**3 + l**2 + l**2 as y*l + b*l**3 + j*l**4 + n + k*l**2 and give k.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 4586?\nAnswer: 2, 2293","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 329 and 0.03.\nAnswer: 9.87","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 34, 31, 18, -11, -62?\nAnswer: -141","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is -102032303311 (base 4) in base 15?\nAnswer: -64611d","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*u - 3*u - 64 = 4*x, 0 = 2*u - 5*x + 58. Which is greater: u or -23?\nAnswer: -23","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 90\/10 - (-589)\/(-62).\nAnswer: -1\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -5 + 8. Suppose 5*d + c - 16 = -0*d, o = 3*c. What is the third smallest value in -3, 5, d?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -61750.05 to the nearest 10000.\nAnswer: -60000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is 2 - -6?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -30 - -144. What is the highest common divisor of q and 133?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 16.5 - 17. Let v = -86\/3 + 28. Which is the closest to v? (a) -2\/7 (b) f (c) 1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(j) = 260*j - 5202. Calculate d(20).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let t(h) = -14*h**3 + 8*h**2 - 9*h - 76. What is the thousands digit of t(-5)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -489 - -698. Is w a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -49*v + 36*v + 2600 = 0. Calculate the greatest common factor of v and 375.\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((n\/n**(-2\/5))**(-2\/97)\/((n**(-1)*n)\/(n*n\/n**(-3)*n*n)))\/((n\/(n\/(n**(2\/9)*n)*n*n)*n*n)**(-6\/5))**48 assuming n is positive.\nAnswer: n**(7505\/97)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 1.39999999 - 1.4. What is v rounded to seven decimal places?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.0920626 rounded to three decimal places?\nAnswer: -0.092","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Express 18*d**3 - 11 + 1403*d**2 + 3*d - 3*d - 1402*d**2 + 2*d**3 in the form t + z*d + x*d**2 + j*d**3 and give j.\nAnswer: 20","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 15*l - 18 = 57. Solve -l + 1 = -4*s, n - 1 = 2*s for n.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of 1094538, 1094782, 1095026, 1095270?\n\"Answer: 244*d + 1094294","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -284 + 437. Let h = -90 + f. List the prime factors of h.\nAnswer: 3, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.1 times 0.272?\nAnswer: -0.0272","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 2463\/825 + (-42)\/77 and (-9)\/63 + 107\/(-525).\nAnswer: 75","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find i, given that -2*i**5 + 218*i**4 - 3546*i**3 + 11430*i**2 - 8100*i = 0.\nAnswer: 0, 1, 3, 15, 90","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in 1, -12, -27?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let w(i) = -2317453*i**2. Let h(g) = 15*g. Give w(h(a)).\nAnswer: -521426925*a**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 87 is divided by 77.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let w(n) = -8*n**2 + 6*n + 10. Let k(t) = t**2 - t - 1. Let a = -1240 + 1246. Give a*k(l) + w(l).\nAnswer: -2*l**2 + 4","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let j(n) = n**2. Let u be j(2). Suppose -7*p + u*p = -78. Let x = 4 - -5. Calculate the remainder when p is divided by x.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(s) = 14*s**2 + 3. Let k(v) = -12*v. Calculate k(d(j)).\nAnswer: -168*j**2 - 36","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 713168042 - 27098761491\/38. Let u = z + -42737. Calculate the common denominator of 59\/6 and u.\nAnswer: 114","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3*p - 3*p + 5*p)*(45 - 50*p + 44*p + p).\nAnswer: 5*p**2 - 45*p","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from rooooooooooooroooo. What is prob of sequence roor?\nAnswer: 1\/153","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 660 is divided by 162?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:28 AM and 4:38 PM?\nAnswer: 490","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 1285.54 millilitres in litres?\nAnswer: 1.28554","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the eighth root of 1458853848 to the nearest integer?\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 1196 and 6189248.\nAnswer: 52","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0.27 + -11897365.6.\nAnswer: -11897365.33","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -91\/783? (a) -0.2 (b) 4 (c) 2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is -320164.157 rounded to the nearest 1000?\nAnswer: -320000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -2 + -6*(sqrt(2) + 0).\nAnswer: -6*sqrt(2) - 2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 52 and 59942402.\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of ((-3)\/6)\/(4\/(-112))?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 13\/22823641 and 71\/2253?\nAnswer: 68470923","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 29375832 to the power of 1\/3, to the nearest integer?\nAnswer: 309","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 140 is divided by 11.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(77) - (sqrt(77) + ((sqrt(77) - 4*sqrt(77)) + sqrt(77))*6) - ((sqrt(77)*-2 + sqrt(77))*-4 + sqrt(77)))\/(6*3*sqrt(112)*-1).\nAnswer: -7*sqrt(11)\/72","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: 1942917+-26970\nAnswer: 1915947","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) -5 (b) -148 (c) 0.4 (d) -0.4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 626 is divided by 50.\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (2 - 0)*(24 + (-3363)\/152). Factor b + 175\/4*x**2 + 95\/2*x.\nAnswer: 5*(x + 1)*(35*x + 3)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of -14783, -30126, -45479, -60848, -76239, -91658, -107111, -122604?\n\"Answer: -y**3 + y**2 - 15339*y + 556","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 128116086?\nAnswer: 2, 3, 7, 435769","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let p(h) = -3*h - 2. Let d be p(-2). Suppose -2*r - 23 = -3*r - d*o, o - 11 = -2*r. Suppose -12 = -r*j - j. Let k(c) = -c + 3. Calculate k(j).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*y - 777 = -5*t - 733, -5*t + 11 = -y for t.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let b(v) = -2*v + 5. Let p(x) be the third derivative of -x**4\/12 + 2*x**3\/3 + 188*x**2. Let h = -10 + 14. Let d be -2 - (-2 + h\/1). What is d*p(o) + 3*b(o)?\nAnswer: 2*o - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: 11101011 (base 2) to base 16\nAnswer: eb","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 4 - (0 + (0 - 7) - 1)?\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: -100 (base 2) to base 10\nAnswer: -4","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) 0.655287 (b) -7 (c) -0.3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 15142 - 8911. Let m = 17432 - y. Is m prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -7 + 11. Let x = -36 + 48. What is the smallest common multiple of i and x?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 2 and -1200.\nAnswer: -2400","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 12874 is divided by 140?\nAnswer: 134","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -12539320461 + 6.7.\nAnswer: -12539320454.3","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Round -119791.9871 to the nearest 100.\nAnswer: -119800","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 1626 and 339594.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:09 PM and 11:18 PM?\nAnswer: 609","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -106*y**3 + 357*y**3 - 117*y**3 - 121*y**3.\nAnswer: 13*y**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 832 and 149695.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*h - 9 = -29, 0 = x + 3*h - 22. Let a(s) = s**2 + s - 1. Let m be a(2). Let i = 33 + -8. Solve -m*o - i = -x*o for o.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 2042, 4090, 6170, 8300, 10498, 12782, 15170, 17680?\nAnswer: 20330","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let k(x) be the third derivative of 0*x + 0*x**4 - 2*x**2 + 1\/60*x**6 + 1\/60*x**5 + 0 + 0*x**3 + 1\/210*x**7. Suppose k(w) = 0. Calculate w.\nAnswer: -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(t) = -5*t**2 - 11*t - 15. Let k be i(-6). Let u = 137 + k. What is the remainder when 25 is divided by (-636)\/(-45) + u\/(-60)?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 84*r - 80*r - 8 = 0 for r.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 57*o + 685 = -95*o + 6157 for o.\nAnswer: 36","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of -203468, -406939, -610410, -813881?\n\"Answer: -203471*h + 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 11293 and 368?\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is 419 at least as big as 224?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*g + 2*z = 6, 2*g + z - 29 = -4*z. Suppose i - 1 = -5, 5*x - 7 = -g*i. What are the prime factors of x + -4 + 100 + -4?\nAnswer: 5, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 450\/(-25)*-5*38\/285*(-14)\/80.\nAnswer: -21\/10","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let o be -4*5\/120*-366. Let n = o - -262. What are the prime factors of n?\nAnswer: 17, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*x + i = 43 + 20, -4*x - i = 45. Which is smaller: -13 or x?\nAnswer: -13","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -10 = -5*y, -2*y + 14 = 2*j + y. Calculate the highest common factor of 14 and j.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -63546.8696 rounded to the nearest 10?\nAnswer: -63550","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*q + 261 - 627 = 0. Let n = 1099\/9 + q. Which is smaller: 0 or n?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(i) = 0 + i + 0. Let t(b) = -b. Let w(p) = -p. Let s(o) = 2*o + 2. Let y be s(-4). Let z(r) = y*t(r) + 7*w(r). What is u(z(f))?\nAnswer: -f","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -238.0431 + 0.0431. Let f = i - -234. Which is smaller: -0.5 or f?\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -186002229*l**5 - 144829396*l**2 wrt l?\nAnswer: -11160133740*l**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -66 - -47.4. Let g = q - -19. What is the biggest value in g, -0.5, 3?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(q) = -2*q**2 + 4. Let d(h) = -11*h - 11*h**2 - 12*h + 20 + 23*h - h**3. What is -2*d(w) + 11*i(w)?\nAnswer: 2*w**3 + 4","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of -23272, -46568, -69866, -93166, -116468?\n\"Answer: -x**2 - 23293*x + 22","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is -6895 plus -0.3?\nAnswer: -6895.3","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1702*m - 2 = -1697*m + 2*u, -2*m = 4*u + 4 for m.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 44824 and 12455469?\nAnswer: 5603","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.0028217 to four decimal places.\nAnswer: -0.0028","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 1 in 34, 0, 1\/6, 9?\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 35003?\nAnswer: 17, 29, 71","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 80464702.\nAnswer: 2, 3793, 10607","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let j(r) = -5*r**2 + 3*r + 4. Let p(q) = -10*q**2 + 6*q + 8. Let s(y) = -5*j(y) + 3*p(y). Let f be s(3). What is f rounded to the nearest 10?\nAnswer: -30","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(p) = -p**3 + 12*p**2 - 8*p - 2. Suppose 77*v + 11*v - 3927 = 11*v. Calculate the remainder when v is divided by x(11).\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -1310 divided by 25028?\nAnswer: -655\/12514","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let g(m) be the first derivative of m**2\/2 + 5*m - 7. Let p be g(-4). Sort -1, p, -2.\nAnswer: -2, -1, p","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(b) be the second derivative of 5*b**4\/12 - 6850*b**3\/3 + 4692250*b**2 + 12*b + 56. Determine f so that g(f) = 0.\nAnswer: 1370","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(l) = l**2 - 5*l - 3. Suppose 12*p - 50 - 22 = 0. What is k(p)?\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 o when two letters picked without replacement from {y: 6, o: 2}.\nAnswer: 1\/28","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: ((7497\/(-136))\/21)\/((-1)\/(-3)) - -8\nAnswer: 1\/8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(z) = -4*z**2 - 6*z - 11. Let i(h) = 11*h**2 + 19*h + 32. Let p(c) = 3*i(c) + 8*k(c). Factor p(m).\nAnswer: (m + 1)*(m + 8)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 3 a factor of 62295408?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Expand -143 + 47*o + 143 + o + 0*o + 5*o + (1 + o - 1)*(0 - 1 - 2).\nAnswer: 50*o","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let q(v) = -v - 12. Let p be q(-11). List the prime factors of -69*p\/3 + 2.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(g) = 5*g**3 - 2*g**2 + 2*g. Calculate the remainder when h(2) is divided by ((-60)\/(-2))\/(234\/156).\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(c) = 349*c**2 + 4*c - 4. Let u be w(-2). Let i be u\/40 - (-2 - 8\/(-5)). Let k be (-24)\/(-108) + 250\/9. What is the highest common divisor of i and k?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between -29549479723 and 1?\nAnswer: 29549479724","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 171 and 45?\nAnswer: 855","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is -430 (base 10) in base 12?\nAnswer: -2ba","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 39?\nAnswer: 3, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let l be 4\/10 + (-6)\/(-10). Let c = -56 + 51. Sort l, c, -4 in increasing order.\nAnswer: c, -4, l","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (5*2*(sqrt(2057) + 0)*-2 + 0)**2.\nAnswer: 822800","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Express -260*b**4 + 293*b**4 + 3*b**3 + 8*b - 7*b + 0*b + 2*b + 3*b**2 as z*b**4 + w*b + k*b**2 + q*b**3 + h and give z.\nAnswer: 33","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let y(b) = 11*b**3 + 98*b**2 - 20*b - 83. What is y(-9)?\nAnswer: 16","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Round 169290 to the nearest 10000.\nAnswer: 170000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 1\/3? (a) -4 (b) 0.17 (c) -199 (d) -0.4 (e) 0\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: 0 + 6 + -5 - (2 + 0)\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let n be -6 + ((-20)\/(-28) - -3) + (-28)\/(-98). Sort 8, 4, -17, n.\nAnswer: -17, n, 4, 8","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -22887 and -3615.\nAnswer: 82736505","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 48474 less than -2335?\nAnswer: -50809","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: (-43 - 612\/289) + 4\/204*6\nAnswer: -45","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((w*w**(2\/3)*w)\/(w*w**(2\/7))*w**5\/w**(-4\/3))\/((w\/w**(-2\/7))**1\/((w**(2\/3)\/w)\/w*(w\/(w\/(w\/(w*w*w**(-2\/9)))))\/w)) assuming w is positive.\nAnswer: w**(209\/63)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -29*i + 16 = -33*i. Let r = 6 + i. Does 21 divide -21*((-66)\/18 + r\/3)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -1 + f**3 + 0*f**2 + f**2 + 3*f**3 - 3*f**3 to c*f + j + y*f**2 + u*f**3 and give u.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let g(k) = -k + 1. Let a = -45 - -43. Let y(u) = 2*u**2 + 2*u - 2. Determine a*y(t) - 4*g(t).\nAnswer: -4*t**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 3 in -1257, -3, 2.57?\nAnswer: 2.57","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -17139557 divided by -113507.\nAnswer: 151","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -51.65? (a) 44 (b) -0.25 (c) -2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is 116351 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Work out 272.2 * 0.033.\nAnswer: 8.9826","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: How many decades are there in 17\/4 of a millennium?\nAnswer: 425","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-1353)\/(-2255))\/(6\/8*-2).\nAnswer: -2\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -16 in -10.2, 3, -0.13?\nAnswer: -10.2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*w + 15 = w - 3*t, -t - 5 = -2*w for w.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 11374667?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Expand (1 + 1 - 1)*(269*n - 62 + 23 + 20 + 19).\nAnswer: 269*n","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from rjrrrjrjrjrjj. What is prob of sequence jjj?\nAnswer: 10\/143","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Convert 5 (base 10) to base 12.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -9 + -1. Let c(l) = 0*l + 12 + 10184*l**2 + 4*l - 10173*l**2 + l**3. List the prime factors of c(z).\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -510*n - 7*k = 506*n - 1019*n - 13, -4*k + 14 = -5*n for n.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 536*s**3 + 305*s**2.\nAnswer: 3216","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (-2)\/10 - 62\/(-10). Let y be 134229\/15 - d\/(-15). Suppose y + 6651 = -3*a. What is a rounded to the nearest one thousand?\nAnswer: -5000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(p) = p**3 - 5*p**2 - 6*p + 3. Let f(r) be the third derivative of -r**4\/24 + r**3\/6 + 2*r**2. Let z be f(-5). List the prime factors of k(z).\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 15 + 23. Let z be 16\/4 - r\/9. Let o = -8\/9 - z. What is the nearest to o in 2\/9, 0.4, 10?\nAnswer: 2\/9","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -94\/2355045 and 79\/1926855?\nAnswer: 21195405","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence lh when two letters picked without replacement from blhhjhbbdj?\nAnswer: 1\/30","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -40 - -36.6. Let p = f - -5.2. Let i = p + -1.8000188. What is i rounded to 6 decimal places?\nAnswer: -0.000019","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many micrometers are there in 0.2389142mm?\nAnswer: 238.9142","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let w(x) = 5*x**2 + 6. Suppose 12 + 33 = 9*j. Let l(o) = 0*o**2 - 2 + 7 + 4*o**2. Give j*w(z) - 6*l(z).\nAnswer: z**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is (22 - 1) + 0 + (9 - (11 - 0))?\nAnswer: 19","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Does 5 divide 170662317?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 1005 - 1912. Is h*(-1 + 2)\/(-1) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(f) = 15*f**2 + 3. Let x(h) = -483 + 503 + 66*h**2 + 38*h**2. What is -40*a(t) + 6*x(t)?\nAnswer: 24*t**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (5 + 2 - -2)\/(-1). Let h(t) = t + 12. Let s be h(b). Let w(j) = -j**3 + 4*j**2 - 3*j - 3. What is w(s)?\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(h) = -530*h**3 + 3*h**2 + 4*h - 52. Let l(k) = -1591*k**3 + 8*k**2 + 11*k - 144. Calculate -4*l(g) + 11*o(g).\nAnswer: 534*g**3 + g**2 + 4","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 20 is divided by 6.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 4 (base 6) in base 12?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 25374337 and 1643?\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 4 + 4393236.\nAnswer: 4393240","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:30 PM and 7:04 PM?\nAnswer: 394","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:10 PM and 8:58 PM?\nAnswer: 48","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 95\/68 - 5\/34. Which is the fourth biggest value? (a) -4 (b) i (c) 0.1 (d) -3\/7\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (90\/50)\/(6 - 145\/25).\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 3*(sqrt(11) + -1*(-1 + sqrt(11))).\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let n(a) = 4*a**3 + 6*a**2 - 2*a. Let z(m) = -m**3 + 3*m + 11*m**2 - 8*m + 9*m**3. Let q(f) = -5*n(f) + 2*z(f). Determine j so that q(j) = 0.\nAnswer: -2, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(q) be the second derivative of -q**3\/6 - q. Let m(s) = -s**3 - 6*s + 1. Let l be ((-40)\/120)\/(13\/(-12) + 1). Determine l*k(h) - m(h).\nAnswer: h**3 + 2*h - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -1310*o**4 + 3*o - 165?\nAnswer: -15720*o**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let p(x) = x**3 - x**2 - x + 5. Let o be p(0). Let s(z) = -z**2 + 5*z + 6. Let q be s(o). Find the third derivative of w + w**q - w + w**2 wrt w.\nAnswer: 120*w**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(i) be the third derivative of -37*i**7\/210 - i**5\/30 + i**4\/12 + 9*i**2. What is the third derivative of u(v) wrt v?\nAnswer: -888*v","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 1106770 and 56777301.\nAnswer: 567773010","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let m(s) = 24*s**2 - 15*s - 4. Let v(u) = -47*u**2 + 31*u + 7. Let d(b) = 7*m(b) + 4*v(b). Find the second derivative of d(j) wrt j.\nAnswer: -40","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 51*g**4*q + 7*g**4 + 14*g**3*q + 380574*g*q wrt g?\nAnswer: 612*g**2*q + 84*g**2 + 84*g*q","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let q(p) = -102*p**2. Let j(s) = -5*s**2. Let m(b) = -123*j(b) + 6*q(b). Let l(c) = -80*c**2. Determine 6*l(r) + 165*m(r).\nAnswer: 15*r**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*s - s = -5*l + 3, -5*l - 2*s = -6. Suppose 4*q = q - 69. Let v = q + l. Sort -4, v, 0 in ascending order.\nAnswer: v, -4, 0","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -0.07*-5.66.\nAnswer: 0.3962","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is -4\/1231 greater than -1?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let c(v) = -10 + 7*v + 2 + 0*v - 1. Let g(w) = 20*w - 26. Calculate 17*c(d) - 6*g(d).\nAnswer: -d + 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is 108133 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 0.09 - -0.06. Let k = -0.25 + r. Let s be 6 + 0 + 0 - (-26 - -29). What is the closest to k in s, 0.1, -2\/7?\nAnswer: -2\/7","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 1\/697 or 0?\nAnswer: 1\/697","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2 = 2*w - 22. Calculate the lowest common multiple of 10 and 18\/w*30\/9.\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 30952843 and 20980.\nAnswer: 1049","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let i(h) = -29*h. Let v(o) = 5*o - 555. Calculate i(v(k)).\nAnswer: -145*k + 16095","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Convert 4389.92 nanograms to milligrams.\nAnswer: 0.00438992","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1*-0.99.\nAnswer: -0.99","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 7.8 - 5.7. Let t = p - 2.2. Which is the nearest to -7? (a) -0.4 (b) t (c) 5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -72 + 80. Suppose i = l*w - 4*w - 204, -16 = 4*i. Differentiate -24 - 1 - 13 - 3*k + w*k wrt k.\nAnswer: 47","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 420690117 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*c = -i - 1, 2*i - 13 = -15. Let d(u) be the second derivative of c - 7\/2*u**2 - 5\/3*u**4 - 17*u + 0*u**3. Differentiate d(z) with respect to z.\nAnswer: -40*z","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(b) = -b - 7. Let q be z(-11). Calculate the greatest common factor of 44 and q.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -9.1626 minus 1104?\nAnswer: -1113.1626","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: How many micrograms are there in 21\/2 of a milligram?\nAnswer: 10500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 37? (a) -1 (b) -107 (c) 2 (d) -4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is -20b2 (base 16) in base 7?\nAnswer: -33255","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 7 + -5. Let y be (b + 15\/2)*2. Let s be (-177)\/(-9) - 1 - (-16)\/48. What is the highest common divisor of y and s?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (4 - 4 + 3)*(2*x - x - 4*x).\nAnswer: -9*x","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Express (-4*d - d**2 + 2*d**2 - 6*d)*(1 - 2 - 2) as k + x*d**2 + t*d and give x.\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let c(o) = 1231*o - 33232. Give c(27).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0? (a) 4\/5 (b) 0.2 (c) -2\/17 (d) 0.5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let x(b) = 2*b**3 - b**2 - 2*b - 6. Give x(3).\nAnswer: 33","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 360 divided by -27.\nAnswer: -40\/3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the tenth root of 583370 to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Sort -0.4, 1\/3, 9\/4 in descending order.\nAnswer: 9\/4, 1\/3, -0.4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 6? (a) 48 (b) 1762 (c) 2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let h(q) be the second derivative of q**4\/12 + 4*q**3\/3 + q**2\/2 - 2*q. Let f be h(-8). Let n be (19 + 1)\/(f\/(-310000)). Round n to the nearest 1000000.\nAnswer: -6000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (-3)\/(6\/(-16))*2 - 1. Solve 2*r - 7*r - g = 0 for r.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -82120\/941 or -87?\nAnswer: -82120\/941","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Expand 14 - 17*c**2 - 14 - c**2 - 1 + 1 + 2*c + 2*c**2 - 2*c + (-c**2 + 0*c**2 + 3*c**2)*(-4 + 5 + 0).\nAnswer: -14*c**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*n - 4 + 4)*(-45002*n - 1 + 22505*n + 24721*n).\nAnswer: 4448*n**2 - 2*n","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 9084?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 11\/10 of a litre in millilitres?\nAnswer: 1100","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 279344635 to the nearest integer?\nAnswer: 654","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (-7 + 6 + 2)*(-2 + 2). Suppose -11*d + 22 - 88 = q. Let h(j) = 13*j**3 + 6*j**2 - 5*j + 6. Let u(l) = -l**3 - l**2 + l - 1. Give d*u(x) - h(x).\nAnswer: -7*x**3 - x","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Does 93 divide 235097205?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 3*(((sqrt(3600)*1)\/(sqrt(45)\/(sqrt(9) - sqrt(9)*2)))**2 + ((1*sqrt(800))\/(sqrt(360)\/sqrt(4)))**2).\nAnswer: 6560\/3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*d = -2, 5*d - 56 = 5*m + d. Let q = m - -40. Calculate the highest common divisor of q and 196.\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -591, -1057, -1583, -2169, -2815, -3521, -4287?\nAnswer: -5113","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 18081 a multiple of 3?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Put 0.1, -0.02635057, 0.09 in ascending order.\nAnswer: -0.02635057, 0.09, 0.1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -23023 - -23022.988667. Round r to 3 decimal places.\nAnswer: -0.011","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 311*d - 595*d + 9656 = 0 for d.\nAnswer: 34","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is -16 + (-6 - -1) + 0 + 8?\nAnswer: -13","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1286?\nAnswer: 2, 643","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 13 in -2\/13, -0.6, -0.7, 0.2?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(15) - sqrt(120)\/sqrt(200))\/(-2*sqrt(80)).\nAnswer: -sqrt(3)\/10","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 4 and 77932?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-4)\/(-2) - 20*(-9 - (-296)\/32)?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 0.7008757 litres to millilitres.\nAnswer: 700.8757","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: ((-2)\/36)\/((-4)\/144*-12)\nAnswer: -1\/6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let d(m) = 7*m. Let v(o) = -o + 11. Let g be v(8). Let p(u) = 2. Let n(q) = q + 3. Let b(l) = g*p(l) - 2*n(l). Give d(b(k)).\nAnswer: -14*k","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 16 = 6*u - 8*u. Let t(z) = -2*z**3 + 3*z**2 - 3*z + 2. Let k(o) = 6*o**3 - 8*o**2 + 8*o - 6. Calculate u*t(d) - 3*k(d).\nAnswer: -2*d**3 + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 25 + -19. Calculate the greatest common divisor of 54 and t.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -l**4\/6 - 137*l**3\/2 - 407*l**2 - 2434*l\/3 - 540 = 0 for l.\nAnswer: -405, -2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is 5 + 5010?\nAnswer: 5015","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: 61\/(-70) + (-3 - 396\/(-120))\nAnswer: -4\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -15888338 + 1126*j**3 + 15888338.\nAnswer: 1126*j**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose g + 3751 = 12*g. What are the prime factors of g?\nAnswer: 11, 31","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 106 - 106. Solve 0 = -v*c + c, 2 = -2*g - c for g.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v be ((-10)\/25)\/((-6)\/75). Which is the third smallest value? (a) -2\/9 (b) -0.09 (c) v (d) 3\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 712?\nAnswer: 2, 89","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 21830.\nAnswer: 2, 5, 37, 59","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 6\/16*(-216944)\/284739.\nAnswer: -2\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let a(l) = 11*l - 165. Let r be a(15). Let n(f) = f**3 - 2*f**2 - 4. Calculate n(r).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (262\/4)\/(7\/((-56)\/(-4))). Let j = -125 + g. Solve -5*x = 4 + j for x.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is thirty-seven halves of a millennium in decades?\nAnswer: 1850","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-10)\/325)\/((-74)\/5 - -7 - -8)?\nAnswer: -2\/13","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -26*i**2 + 32*i**2 - 17*i**2.\nAnswer: -11*i**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 166938263.\nAnswer: 166938263","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 19\/38*(-144)\/(-4)?\nAnswer: 18","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 c, 1 f, and 1 x when three letters picked without replacement from yxcxcftccccoxtccf?\nAnswer: 6\/85","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between 1.30136814 and 0.023?\nAnswer: 1.27836814","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: 4441 (base 10) to base 4\nAnswer: 1011121","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 545453 to the power of 1\/2, to the nearest integer?\nAnswer: 739","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Put -2\/3, 0.08, 1\/4, 1 in decreasing order.\nAnswer: 1, 1\/4, 0.08, -2\/3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -10*y + 53*y = 141642. What is the hundreds digit of y?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 3 + 4 + (8 - 4) + -16?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 133867?\nAnswer: 263, 509","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -0.085543*-0.156.\nAnswer: 0.013344708","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 46 and 138?\nAnswer: 138","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 21863 is divided by 5305?\nAnswer: 643","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let j(p) = 2*p**3 - 2*p + 54. Let k(c) = c - 12. Let x be k(12). What is the tens digit of j(x)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: -21127 divided by 157\nAnswer: -21127\/157","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*h - 3*h = 0. Suppose h = -5*w + 10, u - 2*w - 31 = w. Is u composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-4 - (3 - 1))*7\/21\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Determine f, given that 0 - 9\/8*f**3 + 3\/4*f + 15\/8*f**2 = 0.\nAnswer: -1\/3, 0, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*f + d + 4 = 18, -3*d + 14 = f. Suppose c = f*c - 13. Let q be c\/(-21) - (-8)\/28. Which is greater: 0 or q?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: 21453676+-3939\nAnswer: 21449737","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:21 PM and 3:33 AM?\nAnswer: 612","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -4*c + 16505*x - 16515*x - 28, c + x = -1 for c.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*y + 964*z + 17 = 966*z + 59, 73 = 9*y - z for y.\nAnswer: 8","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-4)\/(-16))\/((1416\/(-3072))\/59).\nAnswer: -32","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let a(h) be the first derivative of 3*h + 3 - 1\/2*h**2. Differentiate a(n) with respect to n.\nAnswer: -1","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 a and 1 z when two letters picked without replacement from hhtbhhhazbzz?\nAnswer: 1\/22","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is 249940949 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is 743339 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 329 - 308. Calculate the remainder when 55 is divided by b.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(w) be the third derivative of 37*w**4\/8 + 11*w**3\/2 - 2*w**2 - 15*w. What is the first derivative of i(a) wrt a?\nAnswer: 111","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 359 is divided by 4?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let t(n) = -5*n - 29. Let l(f) = f + 4. Let p be l(-13). Let k be t(p). Suppose -8 = r - k. Solve -r + 0 = 4*y for y.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(c) = -4*c**4 - 8*c**3 - 2*c**2. Let h(i) = i**4 + i**3 + i**2. Let m(x) = -2*h(x) + s(x). Suppose m(u) = 0. What is u?\nAnswer: -1, -2\/3, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is 2515504 + 10501?\nAnswer: 2530405","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 162 - 983\/6. Calculate the common denominator of -79\/36 and t.\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 229704?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let j(c) = -6811*c + 6399. Let v(z) = -4551*z + 4266. Let w(u) = -5*j(u) + 7*v(u). Differentiate w(q) with respect to q.\nAnswer: 2198","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(z) = -2*z**3 + 9*z**2 - 17*z + 20. Let n be j(3). What is the closest to -0.23 in n, -2, 0.3, -16?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-2)\/4*(-1)\/(-2) + (-3)\/(-2).\nAnswer: 5\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(w) = -w**3 - 5*w**2 - 3*w + 2. Let o be r(-4). Let v be (-1 - (-2 - o))*0. Solve 2*c + 3*c = 2*n - 25, c + 5 = v for n.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 7 + 5 - (21 - -1)?\nAnswer: -10","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Work out -1.62962813496 - 42.\nAnswer: -43.62962813496","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is 2 + -9547423?\nAnswer: -9547421","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is 37 a factor of 3034956?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 140*n + 302*n - 200*n.\nAnswer: 242*n","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -357*b + 3857 = -108*b + 302*b. Solve 2*a = 3*s - 15, 5*s - b*s + 8 = -2*a for a.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 0.00629 - 0.00629. What is the nearest to w in 20, -0.07, 2, 1?\nAnswer: -0.07","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8 + 12 = 5*a. Suppose 3*j + 5*k = -0*j - 255, -j - a*k - 78 = 0. Let y = j + 620\/7. What is the common denominator of 35\/6 and y?\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(v) = -5*v + 16467. Let l(k) = -17*k + 49396. What is 3*l(s) - 10*q(s)?\nAnswer: -s - 16482","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 84, 164, 242, 318?\nAnswer: 392","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -71\/246 and -47\/6?\nAnswer: 246","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -131 = 7*h - 138. Let w(x) = 6*x - 4. Let u be w(h). Solve o = -u*o + 3 for o.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(x) = -2*x + 0*x - 1 + 0. Let l be (51\/(-68))\/((2\/8)\/1). Let d be n(l). What is the highest common divisor of d and 55?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -0.8 in 10, 8283, 4?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-188 - 428 + 89)*(-3 + 2 + 2)*(-u - 2*u + 4*u).\nAnswer: -527*u","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 2636.7 take away 197477595?\nAnswer: -197474958.3","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -106, -710, -2354, -5560, -10850, -18746, -29770, -44444?\nAnswer: -63290","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Product of 0.1 and 90.\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let i(v) be the third derivative of v**5\/510 - 449*v**4\/102 - 600*v**3\/17 - 10358*v**2. Find y such that i(y) = 0.\nAnswer: -2, 900","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 6293359 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (j**(-39)\/j)\/j**32 assuming j is positive.\nAnswer: j**(-72)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let l(o) be the second derivative of o**4\/3 + 19*o - 1. Let x(r) be the third derivative of r**5\/20 - r**2. Calculate l(x(v)).\nAnswer: 36*v**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) -1\/3 (b) 0 (c) -8 (d) 4 (e) 1005 (f) 0.3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let d(v) = 12*v**3 - 4*v**2 + 8*v - 6. Let w be d(2). Let u = -66 + w. What are the prime factors of u?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -212*v = -202*v - 113690. Is v a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence vdt when three letters picked without replacement from {t: 2, v: 1, d: 1, z: 2, a: 1, m: 1}.\nAnswer: 1\/168","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Factor d**4 - 69562*d**3 - 417408*d**2.\nAnswer: d**2*(d - 69568)*(d + 6)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -1979 - -3682. List the prime factors of t.\nAnswer: 13, 131","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 1.433 + -1.633. Which is the third smallest value? (a) -4 (b) 0.14 (c) 0.8 (d) r\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-2)\/(-1)*(-5316)\/(-443)?\nAnswer: 24","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (8\/(-12))\/((-1)\/6). Let x(b) = b**3 + 4*b - 5*b - 3*b**2 - 2*b + 1. Let d be x(y). Put -5, -4, d in increasing order.\nAnswer: -5, -4, d","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*r + 3*j + 9, -2*r + 0*r = -4*j - 8. Let i(w) = 9*w - w**3 - 2 + 2*w - r*w + 7*w**2. What is the lowest common multiple of 8 and i(8)?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tenth root of 1333173 to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve -12*j = -24*j - 84 for j.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 a when two letters picked without replacement from {a: 3, q: 13}.\nAnswer: 1\/40","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -455 - -450. What is the third smallest value in -1, -1\/10, x?\nAnswer: -1\/10","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(a) = 2*a + 80. Let k(p) = p + 64. Let i(s) = -4*j(s) + 5*k(s). Let t(u) = u - 8. Determine t(i(v)).\nAnswer: -3*v - 8","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve 28709*w - 28664*w - 183 = -j, 0 = j - 2*w + 5 for j.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(209) + sqrt(209)*-2)\/sqrt(11) - (sqrt(342)\/sqrt(2))**2) + 2.\nAnswer: -169 - sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let j be 0\/(-9) + (-2 - (-2 - 15)). Suppose 9 = j*a - 36. Solve -4*o = -2*l + 4*l, a*o = -3*l + 6 for l.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((t*t**(-16))**(-25))**13 assuming t is positive.\nAnswer: t**4875","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of 3364065, 6728129, 10092193?\n\"Answer: 3364064*l + 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 121.1 + -82.1. What is the nearest to 1 in 4, m, -22\/3, 2\/9?\nAnswer: 2\/9","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -51010125 + 22189125. Round b to the nearest one million.\nAnswer: -29000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence eehd when four letters picked without replacement from {h: 5, c: 1, d: 8, e: 4}?\nAnswer: 1\/153","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let g(z) = -2*z - 5. Suppose -u + 5*u = -16. What is the units digit of g(u)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 820\/13 in 0.13, -0.1, -3\/73?\nAnswer: 0.13","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: 14\/20*50340\/(-140952)\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: (-3 - 30\/(-4)*2) + -46\nAnswer: -34","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0*g**3 - g**3 + 0*g**3)*(-2*g - 5*g + 5*g) - 46*g**3 + 40*g**4 + 46*g**3 + (-4 + 4 + g**3)*(-1 - g - 1 + 24*g).\nAnswer: 65*g**4 - 2*g**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 7 + -10 + (1 - 1 - 2).\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 16 and 1168?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -73 + 112. What is the units digit of i?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 12 + 8 = -4*c, -2*s + 71 = 5*c. What are the prime factors of s?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -0.1 + 0.3. Let q = 1836 - 1840. Which is the second smallest value? (a) q (b) m (c) 5\/2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 3*(-3 + 5*-2*sqrt(1539)*3 + 4)**2.\nAnswer: -1620*sqrt(19) + 4155303","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of -33, -5952, -15817, -29628?\n\"Answer: -1973*b**2 + 1940","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 544 = 4*c - 124. What is the remainder when c is divided by 34?\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -153576*u**2 - 1339*u - 17 wrt u?\nAnswer: -307152","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -4*q**5 - 91*q**3 + 2*q - 43?\nAnswer: -80*q**3 - 546*q","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.00019821111 rounded to six dps?\nAnswer: 0.000198","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 4665 + -4663. Solve m*b - 22 = -10 for b.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(s) = s**2 - 8*s - 11. Let b(n) = -2*n**2 + 15*n + 21. Let u = 0 + 4. Let f(w) = u*b(w) + 7*c(w). What is the common denominator of 103\/10 and f(-5)?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is -10 + 23333?\nAnswer: 23323","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) 0.08 (b) -166 (c) 5 (d) -2\/49 (e) 2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3381*r - 3378*r + 12 = 0 for r.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Expand 2*y**4 - 4 + 4 + (-y - 6*y + 5*y)*(0*y**3 - y**3 - y**3) + 0 + 2*y**4 + 0 - 3*y + 3*y - y**4 + 28*y**2 + 8*y**4 - 28*y**2 - 2*y**4 - y**4 + 5*y**4.\nAnswer: 17*y**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*k + 10 = -4*g - 11, 2*k = 5*g + g + 4 for g.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -27\/2945 and -59\/40641.\nAnswer: 203205","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: 351 times 531\nAnswer: 186381","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 40 (base 6) in base 15?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is -247 - 387201?\nAnswer: -387448","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let n(b) = -4*b**2 + 2753*b + 195847. Give n(-65).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 2, 14, 34, 62?\nAnswer: 98","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 13*(6\/10)\/((-17)\/((-340)\/12))?\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Add -0.02 and 30349.\nAnswer: 30348.98","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 2280 and 14461660?\nAnswer: 86769960","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let t(l) = 15100*l**2 + 2*l + 3. Let x = 24 - 25. Is t(x) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 627047099 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 22072?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve -208 = 15*g + 13*g + 128 for g.\nAnswer: -12","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is -718.781 rounded to the nearest 10?\nAnswer: -720","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(33)\/(sqrt(11) + sqrt(396))*-6.\nAnswer: -6*sqrt(3)\/7","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is 100416 - -1?\nAnswer: 100417","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let p be -8 + 121\/22 - (-33)\/18. Which is the closest to 3? (a) -4 (b) p (c) 0 (d) -1\/4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 1316 - 1316. Let a(d) = -d - 3. Let s be a(-4). Suppose -f = -w*f - s. Which is bigger: f or -2\/31?\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0 - (-2 - 8) - (438 + -443).\nAnswer: 15","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 12243300?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.000420959847 rounded to 4 decimal places?\nAnswer: -0.0004","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 1\/234 and 115\/286.\nAnswer: 2574","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 0 and -24\/98126839?\nAnswer: 98126839","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Express (-50 - 5 - 35)*(4 - 2 - 1)*(0*i**4 + 2*i**4 - 3*i**4) + (0*i + 2*i - i)*(0*i**3 - 2*i**3 + 0*i**3) as w + u*i**3 + r*i + s*i**2 + l*i**4 and give s.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Add together 129 and -1.8.\nAnswer: 127.2","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Express 19 - 10*p - 19 + (0 + 1 + 1)*(0*p + 0*p - p) + 0*p + 3*p + 0*p as l + t*p and give t.\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let r(u) = -u**2 - 6*u - 2. Let y be r(-6). Let b = -129 + 129. Let p = b - y. Solve -p + 4 = -2*o for o.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of 13, 25, 37?\n\"Answer: 12*m + 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -544 - -543.9999836. What is n rounded to 5 decimal places?\nAnswer: -0.00002","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -26*m = 45*m - 302 + 728 for m.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let q(g) = 131*g - 1599. Determine q(14).\nAnswer: 235","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let f(n) be the third derivative of n**7\/735 - n**6\/840 - 3*n**5\/140 + n**4\/42 + 2*n**3\/21 - 41*n**2 - 2. Suppose f(b) = 0. What is b?\nAnswer: -2, -1\/2, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 430 minutes before 6:44 AM?\nAnswer: 11:34 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 41433?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 33*t + 553 = -470. Let d(p) = p**2 + 29*p - 59. Let q be d(t). Let f be (-6)\/(-21) - (-38)\/14. Solve -12 = q*b - 3*r, 0 = 2*b - b - f*r + 12 for b.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(s) = s - 23. Suppose -23*n = -3*b - 24*n + 91, -41 = -b + 5*n. Calculate u(b).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine k so that 4*k**3 - 1365596*k**2 + 25945072*k - 65544960 = 0.\nAnswer: 3, 16, 341380","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is 43443 + 32014101?\nAnswer: 32113044","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 4 h when four letters picked without replacement from {n: 7, h: 4, l: 5}.\nAnswer: 1\/1820","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 27081 to the nearest integer?\nAnswer: 30","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Work out 48.9 * 0.5.\nAnswer: 24.45","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0, 2, 256.\nAnswer: 0, 2, 256","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Convert 52 (base 8) to base 3.\nAnswer: 1120","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let v(c) = 77*c - 7. Let u(s) = 226*s - 21. Give -6*u(j) + 17*v(j).\nAnswer: -47*j + 7","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((((sqrt(850) + 2*sqrt(850))*3)\/(5*sqrt(2)*-2*6) + 0 + -5)*3)**2.\nAnswer: 135*sqrt(17)\/2 + 4977\/16","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1499*n - 44272 - 24682 = 0 for n.\nAnswer: -46","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is -1a451040 - 1?\nAnswer: -1a451041","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve -494 = 19*r + 557 - 880 for r.\nAnswer: -9","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 38 and 95?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -0.09 - 0.04. Let y = 101 - 97.87. Let n = y + l. Which is the second smallest value? (a) n (b) 0.4 (c) 1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(3) + 0 + 1 - sqrt(3)) + 3*(sqrt(3) - (sqrt(12)\/sqrt(4) - sqrt(3))**2 - sqrt(3)))*-2 - sqrt(15)\/(-3*sqrt(5)*3)*5.\nAnswer: -2 + 5*sqrt(3)\/9","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 975, 8086, 27423, 65100, 127231, 219930, 349311, 521488?\nAnswer: 742575","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 370?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:28 AM and 10:20 PM?\nAnswer: 652","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -1 + -12 + -20 + 9 + 19.\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 40, 31, 22?\nAnswer: 13","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 10892*d**2 - 10891*d**2 + 207*d**3 - 242*d**3.\nAnswer: -35*d**3 + d**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*p - 30*u = -31*u - 11, 2*p = 5*u + 19. Put -2, 9, p in decreasing order.\nAnswer: 9, -2, p","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 3592.\nAnswer: 2, 449","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve -132*g + 129*g + u + 9 + 20 = 0, 4*g + 4346*u = -8656 for g.\nAnswer: 9","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of -12048, -11946, -11844, -11742, -11640, -11538?\n\"Answer: 102*n - 12150","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 1 + 1. Suppose -4*z + 16 - 4 = 0. Find the second derivative of z - 3 - x*u + 2*u**2 wrt u.\nAnswer: 4","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0*q + q**3 + 0*q + (9 - 3*q - 9)*(-2*q**2 + 2*q - 2*q) - q**3 - 2*q**3 + q**3)*(-5*q + q + 2*q).\nAnswer: -10*q**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ff when two letters picked without replacement from ffff?\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let i(g) = g**2. Let a(d) = -2*d - 4*d + 23*d. Determine a(i(m)).\nAnswer: 17*m**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -774.9998618 + 775. Round y to six dps.\nAnswer: 0.000138","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -2 + (0 - -5) - (1 + 2).\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*s = 2*o + 7, 272*s - 53*s - 5*o = 1150 for s.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 2080414 to the nearest integer?\nAnswer: 128","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -5391.73 - -5363. What is i rounded to the nearest integer?\nAnswer: -29","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 130 + -129.999937. Round c to 5 decimal places.\nAnswer: 0.00006","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 8*h + h - h to the form t + q*h and give t.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let n be -1 - 1 - (-4 + 0). Let y(p) = 8*p + 3. Let r(z) = 3*z + 1. Let f(x) = n*y(x) - 7*r(x). Let g(c) = 4*c - 2*c - 4*c + c. Calculate -f(l) + 6*g(l).\nAnswer: -l + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 105 and 1829985.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((z**2*z)\/z**(-1\/11))**1 assuming z is positive.\nAnswer: z**(34\/11)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (-1)\/(-5) + (-4536)\/(-70) + -5. What is the highest common divisor of 570 and s?\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (((-27)\/(-18))\/(6\/46))\/(((-17)\/1)\/(-34)).\nAnswer: 23","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let j(c) = 5*c**2 - 35*c + 38. Determine j(6).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let k be ((-30)\/9)\/((-2)\/6). Let o = 94553 - 94558. Which is the second biggest value? (a) k (b) -1\/9 (c) -5\/4 (d) o\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -242*c**3 - 243*c**3 + 486*c**3 + 70*c**4 - 224*c**4 - 1020*c**2 wrt c?\nAnswer: -3696*c + 6","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (1\/(-9))\/(8\/(-16)).\nAnswer: 2\/9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 8 and 4.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 0*l + 3*l + 0*l - 3*l + 3*l - l + (-3*l + 4*l + l)*(-2 + 1 - 1) + (3 + 4 - 5)*(-l + 34533 - 34531 - 61*l) to o*l + b and give o.\nAnswer: -126","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is 4199203709 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 c and 1 m when two letters picked without replacement from djdydjdmc.\nAnswer: 1\/36","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-1 + sqrt(2299) + 2)**2 - (4*(sqrt(19) - sqrt(95)\/sqrt(5)) - (-2 + sqrt(304))).\nAnswer: 26*sqrt(19) + 2298","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence eet when three letters picked without replacement from totoeoeoll?\nAnswer: 1\/180","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let v(c) = -16*c + 3. Let i be v(2). Let u = 35 + i. Let d be (16\/u)\/(18\/27). Let z(m) = m**3 - 3*m**2 - 4*m + 1. What is z(d)?\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(170)*-2*-1 - sqrt(170) - ((6*-2*sqrt(170) - sqrt(170)) + sqrt(170)))\/((-2*sqrt(1000) + sqrt(1000))*5).\nAnswer: -13*sqrt(17)\/50","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 4*2*(sqrt(19) + (sqrt(76)\/sqrt(4))**2 + -4 + sqrt(19)).\nAnswer: 16*sqrt(19) + 120","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.0120099632 rounded to 5 decimal places?\nAnswer: 0.01201","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Product of -15482 and 0.262.\nAnswer: -4056.284","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from ixeieeejgyxxjexex. Give prob of sequence xgjx.\nAnswer: 1\/1428","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let u(k) = 26*k + 82. Let v be u(-3). Which is the nearest to -1? (a) 5 (b) -0.1 (c) v\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(f) = 2*f**3 - 4*f**2 - 2*f + 1. Let z be g(3). Let q(j) = -j + 14. What is q(z)?\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is -599aa - -4a?\nAnswer: -59960","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 326761971 divided by 1.\nAnswer: 326761971","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 6792?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (c\/(c*(c\/((c**27\/c)\/c))\/c))**(-7\/8) assuming c is positive.\nAnswer: c**(-175\/8)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 109691148 to the power of 1\/6, to the nearest integer?\nAnswer: 22","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(76) + -3)**2 - sqrt(19)) + sqrt(171) + (sqrt(171) - (sqrt(171) + 0)).\nAnswer: -10*sqrt(19) + 85","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 27\/5 of a milligram in micrograms?\nAnswer: 5400","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-186 + 187 - (-6 - (3 - 0))) + 39?\nAnswer: 49","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_test"},"subset":"dm_maths"} +{"text":"Question: Solve -5*x = 4*h - 5, -10*h + 1 = x - 8*h for x.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 7564.\nAnswer: 2, 31, 61","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -101\/42 and -41\/68052?\nAnswer: 476364","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let c(s) = -s + 3. Let n be 0\/(3*(-3)\/(-3)). Let y be c(n). Suppose y*l = l. Solve 3*d - 5 - 4 = l for d.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(s) = 2678*s. Let z(p) = 48*p + 510. Let y(q) = -3*q - 34. Let k(u) = -15*y(u) - z(u). Determine k(h(v)).\nAnswer: -8034*v","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is 2 at most as big as -4155?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let s(q) be the second derivative of -q**5\/20 - 7*q**4\/12 - 7*q**3\/6 + q**2 - 42*q - 2. Calculate s(-6).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: (21\/(-9))\/7*3\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 0 - 5. Let t be (-4 - (2 + b))*(-107 + 0). What is t rounded to the nearest 10?\nAnswer: 110","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f be 12 - (0\/3 - -2). What is the highest common divisor of 20 and f?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is -2b1 + -645?\nAnswer: -936","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: (1 - -5) + -5 + -1 + 1\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let n(f) be the second derivative of -347*f**6\/5 - f**3 + 23*f**2\/2 - 3*f + 326. What is the second derivative of n(u) wrt u?\nAnswer: -24984*u**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -161*j + 24*j + 143*j.\nAnswer: 6*j","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let c(f) = -491*f**2 + f - 1 + 492*f**2 - 1. Let w be c(-3). Solve -w*z = -3*s - 12, s + 2*z + 2*z = 12 for s.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d be 14 + (3 - 7) + 2. Let r be 0*(-2 - (-20)\/d). Sort 2\/11, -0.5, r in ascending order.\nAnswer: -0.5, r, 2\/11","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 19034 + -16691. What are the prime factors of c?\nAnswer: 3, 11, 71","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(z) = -z**3 - z - 1. Let l(d) = 2*d - 7. Let k be l(5). Let a(q) = -6*q**3 - 3*q - 3. Give k*y(s) - a(s).\nAnswer: 3*s**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:40 PM and 1:12 AM?\nAnswer: 92","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*t**2\/11 - 4240*t\/11 + 4262.\nAnswer: -2*(t - 11)*(t + 2131)\/11","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is -833297.9 <= 0?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -0.1? (a) -19\/3 (b) 6.7 (c) -7\/213\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 14\/449887 or -0.1?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 0.04 - 0.64. Let q = -21 - -31. Let w = n - q. Round w to zero dps.\nAnswer: -11","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is -c7f4 + ac3?\nAnswer: -bd31","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 9.867 + -97.607. Let r = 89 + a. Let f = r + -1.093. What is f rounded to 2 dps?\nAnswer: 0.17","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 8\/29 - 114\/203. Which is the second biggest value? (a) -1 (b) n (c) 2\/37 (d) 3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -90, -102, -116, -132, -150, -170, -192?\nAnswer: -216","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is -37711585 at most as big as -37711583?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-7)\/42)\/((-406)\/1044) + 148\/14.\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(l) = l**2 - 30*l**2 + l**3 - 15*l - 10*l**2 - 87 + 28*l - 10*l. Let h be s(39). Which is smaller: h or -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1493 - 106 = -41*a - 663 for a.\nAnswer: -50","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 3220 to the power of 1\/2, to the nearest integer?\nAnswer: 57","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is -5*(-12)\/(-30)*1\/15?\nAnswer: -2\/15","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is three fifths of a milligram in micrograms?\nAnswer: 600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: 1.32 * -5\nAnswer: -6.6","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 2688 and 29009064?\nAnswer: 168","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: How many months are there in seven sixths of a century?\nAnswer: 1400","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: 35.89*1.11448\nAnswer: 39.9986872","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (o\/o**(-3\/7)*o\/(o*o**(3\/14)*o*o))\/(((o**15*o*o)\/o)\/o**(-2\/17)) assuming o is positive.\nAnswer: o**(-4023\/238)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let i be 337 + -1 + (-40)\/8. Let s = i + -328. Which is bigger: 42\/17 or s?\nAnswer: s","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 22530249 a multiple of 7?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 1\/5 of a litre in millilitres?\nAnswer: 200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let w be 2\/(-9)*(-18 + 9) + -1. Let v(m) = -3*m + 2. Let d be v(2). Put -2, d, w, 0 in ascending order.\nAnswer: d, -2, 0, w","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 56*b + 183469 = 69*b. Is b prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_test"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 950 and 76.\nAnswer: 38","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 53465*p**3 - 12*p**2 + 24303207 with respect to p.\nAnswer: 160395*p**2 - 24*p","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -1*(((-6*sqrt(704)*-1 - (3 + sqrt(704)*3))*-2 + 0)**2 + 1 + 5).\nAnswer: -25386 + 576*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1057524 - -0.3.\nAnswer: 1057524.3","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 1617\/98*(-3)\/(-27)*-2?\nAnswer: -11\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 137707496?\nAnswer: 2, 17213437","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-a + 1755*a**2 + 1 - 1755*a**2 - 4*a**3)*(-4*a**2 - 2*a**2 + 4*a**2).\nAnswer: 8*a**5 + 2*a**3 - 2*a**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 1414 and 19978?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 63 + 80 - 216 + 74 - 31*l - l.\nAnswer: -32*l + 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -325*x = -329*x + 468. Calculate the least common multiple of 39 and x.\nAnswer: 117","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*l + 19 = -l - d, l - 3*d - 2 = 0. Does 12 divide 9\/(-6)*l\/((-5)\/32)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between -0.59639 and 0.02?\nAnswer: 0.61639","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 86 + -0.11.\nAnswer: 85.89","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -1636, -1831, -2148, -2581, -3124, -3771?\nAnswer: -4516","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -1.5 + 2.5. Which is the second biggest value? (a) 0 (b) 2\/9 (c) n\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (6\/3)\/2*1. Let x(g) = 2 - 4*g + 2*g + d + g. Calculate x(5).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 33, 23, 5, -21, -55?\nAnswer: -97","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Factor -m**3 + 2*m**3 - 2*m**2 - 8*m + 15*m - 6*m.\nAnswer: m*(m - 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 0 or 856\/17?\nAnswer: 856\/17","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 b and 1 h when two letters picked without replacement from {b: 1, q: 4, h: 8}?\nAnswer: 4\/39","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-127*x**2 + 2 + x**3 + 127*x**2)*(110 - 17*x - 109 - 6*x).\nAnswer: -23*x**4 + x**3 - 46*x + 2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let l(d) = 6*d + 122. Let i be l(-20). Solve -t + 3*f + 4 = -2*t, 0 = i*t - 2*f for t.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -75057 by 381.\nAnswer: -197","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 9105094?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is -4 (base 10) in base 7?\nAnswer: -4","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let g(x) be the third derivative of -x**8\/616 - 62*x**7\/55 - 47089*x**6\/220 + 20*x**2 + 19*x. What is i in g(i) = 0?\nAnswer: -217, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*q = -g - 0*q - 25, 4*g + 109 = 3*q. Let s be ((5\/(-15))\/(g\/(-6)))\/(-19). Which is greater: s or 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -16? (a) -0.2 (b) 2 (c) 0.4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: 581*-1\nAnswer: -581","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) -6 (b) -5 (c) -0.6\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(400) + (sqrt(400) - (sqrt(400)*3 - sqrt(400))))\/(sqrt(50)\/(-3*sqrt(10) - sqrt(10)))*1.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*j - 2*j - 2 = x, 4*x - 20 = -2*j. Suppose 2*k - 4*k + 6 = 0, j*q - 4*k = -50. Let m = q - 4. Round m to the nearest ten.\nAnswer: -20","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (2 - 3 - 2)*(0*q + 0*q + q)*(-3981 - 4243 + 8959) as l + p*q and give p.\nAnswer: -2205","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let b(n) = n**2 - 35*n + 200. Let w be b(28). Solve -4*i - 9 - w = 3*h, 17 = -2*i - 5*h for i.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 42620967?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -1\/38700 and -13\/729240.\nAnswer: 470359800","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 109\/2 in 2\/15, -59, -1339?\nAnswer: 2\/15","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 27693809175*t**2 - 4*t**3 + 15*t**3 - 27693809177*t**2.\nAnswer: 11*t**3 - 2*t**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 13*s - 134193 - 35*s - 1613*s**2 + 134191 wrt s?\nAnswer: -3226","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -3*-901.2412.\nAnswer: 2703.7236","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.8460609um in meters?\nAnswer: 0.0000008460609","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: 1.1875*-0.3\nAnswer: -0.35625","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -80*t - 1301 = -l - 78*t, 4*l + 5*t - 5230 = 0. What are the prime factors of l?\nAnswer: 3, 5, 29","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 3 + 3 + (-6 - 0).\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Express -4*b + 49*b**2 + 0*b - 50*b**2 in the form o + t*b + y*b**2 and give t.\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: (-208)\/200*25 + (-6)\/2\nAnswer: -29","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -46.9 + 47. Which is smaller: j or 2\/109?\nAnswer: 2\/109","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 159?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let n(c) = 15 - 119 + 88 + c + 7. Calculate n(-7).\nAnswer: -16","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*f + 76734 = -31*x + 29*x, -4*x = -5*f + 95907. What is the ten thousands digit of f?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -61\/17493 and -104\/315?\nAnswer: 262395","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Put -4, 5\/13, -2, 2, -1\/5 in descending order.\nAnswer: 2, 5\/13, -1\/5, -2, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 1572, 6588, 14992, 26784, 41964, 60532, 82488?\nAnswer: 107832","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 1346 a multiple of 59?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((z\/(z*z**3))\/z)**(-16\/5)*(z*z\/(z\/(z\/(z\/(z*z**(-1)))))*z)\/z**(7\/3))**(9\/5) assuming z is positive.\nAnswer: z**(561\/25)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let k(h) = -h**3 - 8*h**2 - 5*h + 13. What is k(-7)?\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*w + 6 - 11 = 0, 0 = u - 2*w. Let r(m) = -m**2 - 2*m**2 + 8*m**u - 3*m + 9 - 6*m**2. Is 2 a factor of r(0)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 443 divide 487743?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) 0.2 (b) -77.3 (c) 0.4 (d) -2\/3 (e) -3\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let q(w) = -w**3 + 10*w**2 + 5*w - 5. Let g(r) = 2*r**3 - 20*r**2 - 11*r + 10. Let f(h) = 3*g(h) + 5*q(h). Is f(11) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -266.502 + 266. Let k = z - -0.002. Which is the fourth biggest value? (a) 1 (b) k (c) 2 (d) -4\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 3685 is divided by 82?\nAnswer: 77","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(25) - (sqrt(2500) - (sqrt(2500) + 3*sqrt(2500)))) + sqrt(25))\/(sqrt(5) + -6*(sqrt(5) - (sqrt(5) - sqrt(5)*-4))).\nAnswer: 32*sqrt(5)\/25","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Sort -89, 37, -4, -20, -1, 0, 3.\nAnswer: -89, -20, -4, -1, 0, 3, 37","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is -1670324 + -5565?\nAnswer: -1676111","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 412072 + -13.\nAnswer: 412059","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*v + 3*z = -27, -4*v + 17 = -3*v - 4*z. Let c be 7\/7 + (-12)\/v. Solve -c*d - 13 = -2*p - 10*d, 0 = -p + 4*d - 13 for p.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: 13*-67680\nAnswer: -879840","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 50072.\nAnswer: 2, 11, 569","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -9*a + 28 - 1 = 0. Let -20\/3*l**2 + 6*l - 8\/3*l**a - 10\/3*l**5 - 4\/3 + 8*l**4 = 0. What is l?\nAnswer: -1, 2\/5, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 11\/4 of a litre in millilitres?\nAnswer: 2750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Sort -2\/3, 1, -0.3 in decreasing order.\nAnswer: 1, -0.3, -2\/3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -1091 = -3*q - z, 4*q - 9*q - 4*z = -1816. Let k = -294 + q. What is the highest common divisor of k and 56?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 1 + 0. Suppose -4*d + 2*d = -j + a, 0 = 5*d - 5*j + 5. Solve -4*m + 2*m - 8 = d for m.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(567)\/(sqrt(9) + sqrt(81)) + (2 + sqrt(21)\/sqrt(3))*4)*-1.\nAnswer: -19*sqrt(7)\/4 - 8","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let d be ((-8)\/(-12))\/(2\/744). Suppose -2*i + 69 = h, -2 + d = 4*h - 2*i. Let z = 83 - 41. What is the greatest common factor of z and h?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 94 + -100. Let v be (8 - (-73 - z)) + 1 + -4. Calculate the greatest common divisor of 18 and v.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 1068052320?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 2305?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 37\/24 and -49\/9?\nAnswer: 72","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*v - 20 = -v + 2*a, 2*v = -5*a + 13. Let o = -14 + v. Suppose o = -0*k - 2*k + w + 157, -k + w = -78. What are the prime factors of k?\nAnswer: 79","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -26.11 + 26. Let s = 1.07 - 1.08. Let q = s - l. What is the third biggest value in 4\/5, 5, q?\nAnswer: q","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 135 is divided by 69?\nAnswer: 66","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 0 - -2. Suppose a - 50 = -2*a + 2*o, x*a + o - 31 = 0. Calculate the remainder when 61 is divided by a.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in -5, 2, -4, -0.4?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let b(o) = -o. Let y(s) = 8*s**2 + 9*s. Let c(j) = -4*j**2 + 2*j + j**2 + 5*j**2. Let l be (-37)\/(-4) - 5\/20. Let z(m) = l*c(m) - 2*y(m). Give b(z(x)).\nAnswer: -2*x**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: 26004 + -1\nAnswer: 26003","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 3 less than -983956412?\nAnswer: -983956415","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 11400 + 11745*w - 11400.\nAnswer: 11745*w","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -7287601*a*r*v - 136080*a*r - 5*a - 3*r + 2 wrt v.\nAnswer: -7287601*a*r","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is -144309 divided by -11?\nAnswer: 13119","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 445 to the power of 1\/3, to the nearest integer?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Express -3*p**4 + 67*p**2 + p**3 - 32*p**2 + 33 - 37*p**2 + 2*p**4 - 101 in the form q*p**3 + o*p + d*p**2 + t + i*p**4 and give q.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -38 - -62. Suppose 0 = -0*v + 3*v - n. Let m = -33 - -47. What is the remainder when m is divided by v?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 40\/195*85\/(2125\/75)*2\/(-8).\nAnswer: -2\/13","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -2 in 1\/9, -0.8, -1\/3?\nAnswer: -0.8","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 50 minutes after 7:16 PM?\nAnswer: 8:06 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -3767*o**2 + 164*o + 16?\nAnswer: -7534","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Divide -13560 by -678.\nAnswer: 20","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 468 and 152698.\nAnswer: 2748564","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 43\/12470226 and -35\/33.\nAnswer: 137172486","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 13980, 13978, 13978, 13980, 13984, 13990, 13998?\nAnswer: 14008","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let r(v) = v**3 + 6*v**2 - 2*v + 17. Calculate r(-7).\nAnswer: -18","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is y in -2\/3*y**2 + 6*y**3 + 0 + 2\/3*y**4 - 6*y = 0?\nAnswer: -9, -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (21 - 4) + (-8 - -10).\nAnswer: 19","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 6909 + -3880. What is the tens digit of g?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*x - 2 = 4*m - 14, 4*x = -2*m + 8 for m.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -688 + -26. Let p be (-2)\/9 - d\/(-189). What is the hundreds digit of (-1258)\/(-9) + (-2)\/36*p?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in 2\/7, -0.4, 25, -0.04?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 4 in -0.1, 5, -1?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 0*(-1)\/(-5)*60*15\/360?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let n(c) = -43*c - 126. Let l(s) = 12*s + 35. Let r(t) = -18*l(t) - 5*n(t). Suppose 4*d = -0*d + 4. Let w(y) = 2*y**2 - 5*y. Determine d*w(i) - 2*r(i).\nAnswer: 2*i**2 - 3*i","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 11*i**3 + 6*i**3 - 19*i**3.\nAnswer: -2*i**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -300 + 695. Is p a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-2*(-1 + sqrt(325)) + -3*(1*sqrt(325) + sqrt(325)))**2 + sqrt(1872)\/sqrt(4) + (sqrt(325) - (sqrt(325) + sqrt(325)*3))**2.\nAnswer: -154*sqrt(13) + 23729","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -2.927 + -0.073. Suppose 0 = -4*m - 3*u - u + 12, -u - 27 = -5*m. What is the third smallest value in m, -0.5, o?\nAnswer: m","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: 32 (base 7) to base 2\nAnswer: 10111","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 18\/341 - -4\/31. Sort 0, d, -2 in descending order.\nAnswer: d, 0, -2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is -67 - -106?\nAnswer: 39","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -109\/48 and 79\/342?\nAnswer: 2736","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of 185905, 185904, 185903, 185902?\n\"Answer: -d + 185906","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -9*w + 66 = -114. Let d = 66 + 1. Suppose d = r + 17. Calculate the greatest common divisor of w and r.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((o*o**(2\/7)*o)\/(o*o**5))**(-2)*(((o*o**7)\/o*o)\/o**(-2\/9))\/(o*o**(1\/4)*o)**(-32) assuming o is positive.\nAnswer: o**(5522\/63)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*p = -w - 134, -5*p + 3*w + 112 = -114. Is p a multiple of 7?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -3 + -8 + 9 - 2 - -4.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let i(a) = 151136*a + 1057852. Determine i(-7).\nAnswer: -100","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -0.1 + 0.1. Suppose m + y - 51 + 44 = 0, 25 = 5*m + 3*y. Which is the closest to m? (a) 10 (b) 1\/3 (c) d\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v be ((-3)\/((-18)\/420))\/((-2)\/3). Is -946\/9 < v?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(p) = -7*p + 4. Let z(s) = -6*s + 3. Give 5*u(f) - 6*z(f).\nAnswer: f + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -i - i = -6. Suppose 57 = v - i*n - 0*n, -3*v - 5*n = -241. Let a be (v\/(-27))\/((-2)\/(-66)). What is a rounded to the nearest 10?\nAnswer: -90","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 3 l when three letters picked without replacement from llll.\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Do -2\/25 and 690 have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 21 - -9. Let i = 14 - r. Let k(a) = a**2 + 18*a + 51. What is the remainder when k(i) is divided by 8?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*h - 2*q = 34, 191*h - 195*h + 2*q = 22. Let n = 2 + -3. Sort h, n, 3, 0.\nAnswer: h, n, 0, 3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 4293639 and 272.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is 4 + -6744?\nAnswer: -6740","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -0.1? (a) 3 (b) 3\/5 (c) 2\/11\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 0 or 2\/121483609?\nAnswer: 2\/121483609","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3*f**4 - 3 + 3)*(5*f + 0*f - 4*f) + 24*f**5 + 17*f**5 - 7*f**5 + (3*f - f**3 - 3*f)*(-7 - 6*f**2 + 7).\nAnswer: 43*f**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: 36 - (8 + (-40 - -62))\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 586*n**3 - 5984*n**2 + 6316017 wrt n.\nAnswer: 1758*n**2 - 11968*n","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 1432 and 301794?\nAnswer: 358","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -9*y + 69 = -8*y. Let i(a) be the first derivative of -y*a**4 + 140*a**4 + 0*a**2 - 73*a**4 - 1 - 7*a**2. What is the second derivative of i(l) wrt l?\nAnswer: -48*l","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 155 minutes after 8:53 AM?\nAnswer: 11:28 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*i - 10 = -3*i. Let o = i - -1. Suppose 3*l - o - 94 = 0. Is l composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*k + 1 = 2*o - 3, -1 = -2*o + 3*k. Let s be (1 - 2)\/(2\/(-10)). Let g = o - s. Solve -2*t + 5*z + 31 = g, -t + 13 = -0*z - 2*z for t.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is -2c - 2?\nAnswer: -31","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 7026956 is divided by 1217.\nAnswer: 1215","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.0003833678 rounded to 3 dps?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -26, -14, 16, 70, 154?\nAnswer: 274","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 1586, 3202, 4820, 6440, 8062, 9686, 11312?\nAnswer: 12940","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:14 AM and 12:52 PM?\nAnswer: 458","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 184 and 8?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in -0.1, 1.7, 2, 4\/9?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {a: 4, f: 7, o: 2}. Give prob of picking 4 a.\nAnswer: 1\/715","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 229c6d (base 15) in base 11?\nAnswer: a2a06a","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 581 minutes after 11:11 AM?\nAnswer: 8:52 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -155 - 5*j**3 + 3*j**3 + j**4 + j + 160 + 3*j**4 to the form x*j**4 + k + a*j**3 + o*j**2 + c*j and give k.\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 2*((3*sqrt(378) + sqrt(378))\/sqrt(9))\/(sqrt(900)\/sqrt(6)).\nAnswer: 8*sqrt(7)\/5","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Convert 403144 (base 5) to base 13.\nAnswer: 5b62","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose a - 6 = -2*a. Let j(s) = -2*s**2 - 9*s - 3. Let v(u) = -2*u**2 - 8*u - 2. Let q(k) = 5*j(k) - 6*v(k). What are the prime factors of q(a)?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is -1 + 21103322?\nAnswer: 21103321","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 32\/5 of a meter in millimeters?\nAnswer: 6400","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 10608 is divided by 167?\nAnswer: 87","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -52*m - 24*m**2 - 1 + 10*m**2 + 52*m.\nAnswer: -14*m**2 - 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from yffsaja. What is prob of picking 1 f, 1 a, and 1 y?\nAnswer: 4\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 38 is divided by 5.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 0 + 0. Let i = -6 + 11. Suppose -w - 5*j + 16 = p, -5*j = i*w - 12 - 28. What is the units digit of w?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u be 14*1\/6 - 2. Let q be (1\/7)\/((-1)\/(-2)). Put 1\/5, u, q in decreasing order.\nAnswer: u, q, 1\/5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 41927*-0.7.\nAnswer: -29348.9","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: 1 + 2 + 6 + -2 + -1\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let i(l) be the second derivative of -l**4\/4 + l**3\/3 - 14*l**2 - 15*l. Let w(r) be the first derivative of i(r). Suppose 2*v - 2 - 2 = 0. Determine w(v).\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let 20*f**2 - 24*f - 5*f + 5*f - 24*f**2 - 36 = 0. What is f?\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -13*r = -16*r + 879. Is r a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Are 9\/131597 and 1 nonequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Work out 0.11 * -0.487.\nAnswer: -0.05357","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 21443 and 20.\nAnswer: 428860","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.00001031 rounded to five dps?\nAnswer: 0.00001","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:45 PM and 4:41 AM?\nAnswer: 416","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let f(q) = 5*q**2 + 22*q + 1. Let z be f(-6). Sort 2, z, 1.\nAnswer: 1, 2, z","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of 283251, 283261, 283275, 283293?\n\"Answer: 2*g**2 + 4*g + 283245","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -339.992 + 340. Let m = 4.992 + d. Let y = 0.3 - 0. Which is the third biggest value? (a) m (b) 0.5 (c) y\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 6 divide 1314?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let h(i) = 4*i**2 + 2*i - 8. Let q(l) = -3*l**2 - 3*l + 7. Let r(f) = 2*h(f) + 3*q(f). Let x be r(-6). Let o = -25\/37 - -1\/111. Does x = o?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1929 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-2)\/((4\/(-25))\/((-4)\/(-10)))?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -470*a + 229*a + 190 = -222*a for a.\nAnswer: 10","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 6079529 to the power of 1\/2, to the nearest integer?\nAnswer: 2466","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 21\/2 of a meter in centimeters?\nAnswer: 1050","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Round -74.0053 to 1 dp.\nAnswer: -74","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((h*h\/h**(-14)*((h\/(h*h*h\/(h\/(h*(((h*h**(2\/11))\/h)\/h*h)\/h*h*h))))\/h*h)\/h)\/((h\/(h*h\/h**(-2\/17)*h))\/h**(-4)))**(-14) assuming h is positive.\nAnswer: h**(-26012\/187)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 4*(-1 + sqrt(320) + (sqrt(320) - (sqrt(320) + 0)))**2 + (-2*sqrt(125) - (sqrt(5) + -1 + -3))**2.\nAnswer: -152*sqrt(5) + 1905","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -5 + 15. Let b = -7 + g. Suppose 2*a = -5*n + 9, 3*a - 5*n = 4 - b. Solve 4*q + 4 = 4*s, s - q = a*s - 1 for s.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -13*a - 5 = -4633. List the prime factors of a.\nAnswer: 2, 89","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of 285570, 285578, 285588, 285600, 285614, 285630?\n\"Answer: u**2 + 5*u + 285564","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let k(o) = 13*o + 128. Let i be k(-10). Let w be 36\/(3*(-14)\/(-4)). Let j = -185\/56 + w. Which is the nearest to -2\/3? (a) 3 (b) i (c) j\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 29*p - 69*p - 280 for p.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Put -4, -3, 20, -2 in descending order.\nAnswer: 20, -2, -3, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let b(j) = 15*j**2 + 9*j + 9. Let f(w) = w**2 + w + 1. Calculate b(z) - 12*f(z).\nAnswer: 3*z**2 - 3*z - 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let p(c) = c - 3. Let b be 5 + 1 + 1 + 1. Suppose 9*i - 1 = b*i. Let d(m) = -1. What is i*p(a) - d(a)?\nAnswer: a - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is 3561183151 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve 172*l = 8428, 4*o - 2*l = 2*o - 66 - 42 for o.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -3\/2? (a) 2\/7 (b) -439 (c) 2\/29 (d) 0.5 (e) -0.65 (f) -0.4\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-1 - 2 + 2)*(-x - 2*x + 2*x)*(8*x**2 - 2*x**2 + 62*x**2)*(-x + 0*x + 0*x) to the form o*x**2 + y + p*x**3 + u*x**4 + i*x and give u.\nAnswer: -68","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3*o**4 - 6 + 6)*(-4*o + 6*o - 3*o).\nAnswer: -3*o**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 10 + 2*t**3 + t**3 - 10.\nAnswer: 3*t**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (-11 + 3)*9\/(-4). Suppose -66 = -3*v + h. Is v a multiple of 8?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 252286, 504576, 756866, 1009156, 1261446, 1513736?\nAnswer: 1766026","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -1 + 2 + t + 1404*t**3 - 2*t.\nAnswer: 1404*t**3 - t + 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Express 8*i**2 + 10*i**4 - 3*i**3 - 10*i**2 + 4*i**3 + 2*i**3 + 0*i**2 - 6 as l*i**3 + w*i**2 + a + k*i**4 + o*i and give a.\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let p be 15324\/19180 - (-16)\/(-20). Let r = 46995\/3836 + p. Calculate the common denominator of -28\/9 and r.\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -286 divided by 10.\nAnswer: -143\/5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 48 and 22?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 0.09 + -1.09. Which is the closest to 1\/4? (a) -2 (b) k (c) 1\/10\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 61, 45, 13, -41, -123, -239?\nAnswer: -395","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let a(g) be the first derivative of -1\/2*g**3 + 3\/8*g**4 + 0*g - 4 - 1\/10*g**5 + 1\/4*g**2. Factor a(h).\nAnswer: -h*(h - 1)**3\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 182\/39*24\/(-28)?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*q = -g + 8, -7*g + q - 5 = -8*g for g.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the ninth root of 22020770 to the nearest integer?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of ((-4 - 9) + 11)*(-4)\/(-3) and ((-1)\/(-6))\/(6\/(-68)).\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 n when two letters picked without replacement from vnvvnnnvnv?\nAnswer: 2\/9","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (-56)\/(-20) + (-32)\/40. Let c(s) be the first derivative of -5 + 0*s**k - 8*s + 1\/3*s**3. Differentiate c(j) wrt j.\nAnswer: 2*j","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -32 = -2*s + 4*b, -4 = s + b - 20. What is the greatest common divisor of 2 and s?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 3, 34, -1, 1, 125, 2021, 5.\nAnswer: -1, 1, 3, 5, 34, 125, 2021","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -447 + 1152. Find the third derivative of 2*j**5 - 18*j**2 - i*j**4 + 705*j**4 wrt j.\nAnswer: 120*j**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth root of 2601327927 to the nearest integer?\nAnswer: 226","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) 1 (b) 7802\/7 (c) -70\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -1325 - -1428.9. Let l = -104 + m. Sort l, -2\/5, -3, 0.2.\nAnswer: -3, -2\/5, l, 0.2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -2 - -4. Let o = u + -1.5. Which is the biggest value? (a) -1\/3 (b) o (c) -2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*z = -z - 150. Suppose -3*l - c + z = 0, 0*l - 26 = -l + 2*c. 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: Two letters picked without replacement from {i: 2, g: 1, y: 1, k: 1, d: 1, c: 2}. What is prob of sequence ck?\nAnswer: 1\/28","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Put 3, 2\/11, 83\/7, -4\/5, -5, 2, 5 in decreasing order.\nAnswer: 83\/7, 5, 3, 2, 2\/11, -4\/5, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 3\/40 of a litre?\nAnswer: 75","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 1754 and 76?\nAnswer: 133304","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 2634312 and 106.\nAnswer: 2634312","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let v be ((-20)\/8)\/(1\/(-2)). Suppose h = 4*m + v, 2*m + 3*h - 5 = 10. Suppose -5*o + 25 = -m*o. Solve -p + 13 = -o*p + 3*b, 4*p - 4*b = -16 for p.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 4 - (1 - ((-9 - -3) + 5))?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 7*255\/30*4\/(-14)?\nAnswer: -17","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: How many micrograms are there in 3\/25 of a milligram?\nAnswer: 120","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -1.7869 + 0.7869. Suppose 2*d = -4*f - 21 - 1, d = -3*f - 13. What is the closest to d in 4, -0.4, y?\nAnswer: y","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: 8 + -9 - (-1 - -1)\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let b be 29\/108*(-3)\/(-28654)*-2. Let k = -94122200011\/12894300 + b. Let g = -7301 - k. Find the common denominator of 45\/7 and g.\nAnswer: 175","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2 = -14*t + 12 for t.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is 1098 a multiple of 6?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: -36 divided by -11\nAnswer: 36\/11","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 v and 2 d when four letters picked without replacement from ddvvdd.\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Add -2193 and 0.1.\nAnswer: -2192.9","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: -87 + 94 + -1 + 0\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let o(r) = 112*r + 16176. Calculate the remainder when 445 is divided by o(-144).\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -26*y + 0*y = -34138. Suppose 0 = 6*a + 7*a - y. List the prime factors of a.\nAnswer: 101","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k be 5774 + ((-120)\/(-18))\/((-6)\/(-9)). Calculate the highest common divisor of 24 and k.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -182 or 174959?\nAnswer: 174959","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose g + 4*t + 145 = 0, 5*t + 0*t - 154 = g. Is g greater than -0.2?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1*(77\/(-154)*(-20)\/(-2) + 1342824) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -12\/5 + 118\/45. Let z = 51 - 201\/4. Let p = -2.124 - -6.124. Which is the nearest to -2? (a) o (b) z (c) p\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 12 and 9.\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let d be 2 + (2 + -1)\/1. Suppose 7*t + 5 = 12*t. Let p = d - t. List the prime factors of p.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 7 divide 29?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.2568 rounded to one decimal place?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.023162 rounded to 3 decimal places?\nAnswer: 0.023","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {f: 3, m: 1}. Give prob of picking 2 f.\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Sort 19, 1, 3 in descending order.\nAnswer: 19, 3, 1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -412*m**2*t**2 - m**2 + 7*t**4 + 44 with respect to t.\nAnswer: -824*m**2*t + 28*t**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 44*l**2 + 1 - 33*l**2 - 1.\nAnswer: 11*l**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 4022136 divided by -2?\nAnswer: -2011068","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -299\/35 + 64\/7. Put 0.14, 5, c in decreasing order.\nAnswer: 5, c, 0.14","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(z) = -5*z. Let r(p) = -16937103*p. Determine j(r(m)).\nAnswer: 84685515*m","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let w be 2\/4*(20 - 12). Suppose w*l + 8 = 80. Calculate the least common multiple of l and 15.\nAnswer: 90","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(i) = -176*i. Let z(u) = 9*u. Let s(w) = -4*f(w) - 77*z(w). Let v(h) = -4*h**2 - 4*h. Calculate v(s(k)).\nAnswer: -484*k**2 - 44*k","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let c be 33 - (-3 + 3 - -1). Let o be 3*(0 + (-2)\/(-2)). Suppose o*n + 192 = 6*n. Calculate the greatest common divisor of c and n.\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -21 = -2*t + 5*m, 3*t - 7*t = -m - 33. Let j be (1 - (-35)\/(-14))\/(6\/t). Is 3 a factor of (0 - (-17 - j))\/1?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of -1119, -1173, -1271, -1413, -1599?\n\"Answer: -22*s**2 + 12*s - 1109","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 3115 and 210?\nAnswer: 35","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of -270702, -270704, -270706, -270708?\n\"Answer: -2*q - 270700","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is -1018563.3713 rounded to the nearest ten thousand?\nAnswer: -1020000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let h be 8\/28 - 20\/21. Let r be (-3 - -8 - 3) + (-18)\/15. Let f = -7 - -37\/5. Which is the nearest to f? (a) r (b) h (c) -1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 3 b when three letters picked without replacement from ssbbbbhbbtsbbbbfffb?\nAnswer: 55\/323","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -3 + 135*m**4 + 129*m**4 + 2 - 157*m**4 + 5*m**2 wrt m.\nAnswer: 2568*m","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in -1, -90, -43?\nAnswer: -43","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 394 - 394. Suppose -3*n = -3, 0 = -3*c - 4*n + 4 + 15. Suppose m = -4*x + 4*o + 4, 0 = -2*x + c*o - 4. Solve x + 2 = -5*v for v.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the seventh biggest value? (a) -1\/3 (b) -2337\/2 (c) -0.4 (d) -10 (e) -0.2 (f) -1\/4 (g) 2\/5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (33\/(-22))\/((-6)\/16). Suppose -3 + 3 + 2*n**f - 207*n**2 + 205*n**2 = 0. What is n?\nAnswer: -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(q) = -4 + 2*q**2 - q + 2*q**2 - 3*q**2 + 3*q. Determine h(-3).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 5585 and 790.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-8)\/10*(777\/42 - 18) + -2?\nAnswer: -12\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((m\/m**(-3))\/m*m*m*m**(-2)*m)**(-13)\/((m**(-3)\/(((m\/(m\/m**3*m))\/m)\/m*m))\/(m**0\/m)**(-22)) assuming m is positive.\nAnswer: m**(-26)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (3\/(-15))\/((-468)\/1200*-10)?\nAnswer: -2\/39","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 1760833 a multiple of 2?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -2*a**3 - 6*a**2 - 22*a + 6400 wrt a.\nAnswer: -6*a**2 - 12*a - 22","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-2891)\/177)\/(80\/72*(-6)\/4).\nAnswer: 49\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Total of -25145 and 43807666.\nAnswer: 43782521","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let a(v) = -138*v**2 - 16*v - 4. Let c(x) = -69*x**2 - 9*x - 2. Calculate -4*a(l) + 7*c(l).\nAnswer: 69*l**2 + l + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from hppqz. What is prob of picking 1 q and 1 h?\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 4308\/12 + 0\/(1 - -2)?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -17 - (36960\/108)\/(-20)?\nAnswer: 1\/9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let r be ((-2)\/24)\/1 + (-37)\/148. What is the closest to -0.3 in r, 0.4, 1?\nAnswer: r","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -54636 (base 8) to base 16.\nAnswer: -599e","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: How many nanograms are there in 3\/5 of a microgram?\nAnswer: 600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let z(s) = -3*s - 46. Let r be z(-17). Let h(u) = -u**3 + 6*u**2 - 5*u + 10. Let n be h(r). Solve -5 = 3*f + n for f.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 50694?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 3 in -19, 252, 19?\nAnswer: 19","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Express (5*x - 9 + 9)*(2*x + 0*x - 4*x - 3) in the form c + o*x + k*x**2 and give k.\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 d and 1 v when three letters picked without replacement from {v: 4, d: 14}.\nAnswer: 91\/204","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let g be 87\/18 + (-4)\/(-24). Sort g, -5, 3 in descending order.\nAnswer: g, 3, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:06 PM and 3:35 PM?\nAnswer: 209","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((65\/30)\/13)\/((332\/168)\/(-83)).\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 2 - 7. Let u = 8 + m. Let 5 + 2*o**5 - 2 - 3*o - 3*o**u - 6*o**2 + 9*o**3 + 3*o**4 - 5*o**5 = 0. Calculate o.\nAnswer: -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(u) = 17910*u**3 + 19*u - 18. What are the prime factors of q(1)?\nAnswer: 17911","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (v\/(v\/(v\/v**(-2\/3))*v*v*v)*(v*v**(-1\/8))\/v*(v**1\/v)**(7\/9))\/((v**0)**(-19)\/(v**(-2\/7)*v*v*v\/v**(-1)*v)) assuming v is positive.\nAnswer: v**(547\/168)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 44 - 126 = -l. Suppose -2*k + l = -3*t - 8, 2*t + 60 = 4*k. What are the prime factors of ((-8)\/(-6))\/((-4)\/t)?\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(z) = 3487*z + 4. Determine x(0).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 3*o**4 - 2*o**2 - 2*o**4 + 6*o**4 - o**3 + 2*o**3 to the form z*o**3 + c*o**2 + g + f*o**4 + l*o and give f.\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 0.28 - -0.02. Let r = l - 0.4. Let j be 22\/(-35) - (-2)\/10. Which is the second biggest value? (a) r (b) 0.2 (c) j\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*o - 470 = -0*o. What are the prime factors of o?\nAnswer: 2, 47","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*p + 10 = -5*z, -367*z = -412*z + p - 265 for z.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 2*(sqrt(72)\/(sqrt(2)*-1))\/(-1*sqrt(300)) + ((sqrt(18)\/sqrt(3))\/sqrt(2) + 2 - ((sqrt(300)*2)**2 + 1)).\nAnswer: -1199 + 7*sqrt(3)\/5","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Divide -12 by -566026.\nAnswer: 6\/283013","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: ((-5)\/15)\/(4 - 56\/12)\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of -642, -1283, -1924, -2565, -3206?\n\"Answer: -641*i - 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 75*l = -9*l + 454 + 50 for l.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: (-4)\/(21\/18*-6)\nAnswer: 4\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of -224, -643, -1266, -2093, -3124, -4359, -5798?\n\"Answer: -102*a**2 - 113*a - 9","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (-10)\/(-12) + ((-40180)\/(-240))\/49 - 4. What is the third smallest value in 2\/5, 2\/517, g?\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*n + 13*n - 32. Suppose n*z - 4*d - 35 = 43, 4*z - 128 = d. What is the remainder when 86 is divided by z?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0.1? (a) 2\/11 (b) -124 (c) -1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is 149921 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 2*n*t + 7*n*u**3 - 27*n*u**2 + 48*n - 909*t*u**3 - 76*t*u**2 - u**2 wrt n?\nAnswer: 2*t + 7*u**3 - 27*u**2 + 48","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 711 - 576. Does 91 divide y?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(d) = 2*d**2 - 6*d + 4. Let n be f(2). Suppose m = -n*m + 3. Is 2 a factor of 4 - (-1 - -4) - (-15)\/m?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -3 - -2. Let t be 145 + 1*(s + -1). Let z = -60 + t. Is z composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(i) = 3*i. Let l(f) = f**3 + 7*f**2 + 3*f - 13. Let h be l(-6). Suppose -h*j + 1 = -4. Let w be m(j). Calculate the greatest common divisor of w and 15.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 1 - 1.6. Let n = q + 0.4. Let t = 42 + -37. What is the third biggest value in t, n, 0.4?\nAnswer: n","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 9 + -8.4. Let i = j - 1. Which is the third smallest value? (a) 18 (b) -0.1 (c) i\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -47813 + 47813.0690336. Let x = c - 0.069. Round x to 6 decimal places.\nAnswer: 0.000034","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 3*j - 24*j - 28*j - 4*j - 12*j.\nAnswer: -65*j","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*p - 207*w + 210*w - 14 = 0, 16*w - 59 = -5*p for p.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve -12313 - 1234 = -460*k + 8491 + 2342 for k.\nAnswer: 53","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (38\/3)\/(28\/(-42)). Let v = j - -31. Suppose 0 = 4*y + v - 4, 2*z - y - 188 = 0. What is the tens digit of z?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 213525 (base 6) in base 12?\nAnswer: a2a5","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 243 a multiple of 9?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*n + 10 = 0, -65 = -2*o + n + 158. What are the prime factors of (o\/(-4))\/((-3)\/16)?\nAnswer: 2, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: -b (base 14) to base 16\nAnswer: -b","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let p(o) = o**2 + 7*o + 1. Let l be p(-7). Let n be 18 + (l - 0)*-3. Suppose 0*t = t - n. List the prime factors of t.\nAnswer: 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 120 = -5*n, 2*p + 6*p + 2*n = 4*p - 19 - 17 for p.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of -216592, -433189, -649786?\n\"Answer: -216597*d + 5","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 256*g + 7443 = 265*g. What is the tens digit of g?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 15678 - 6999. What are the prime factors of t?\nAnswer: 3, 11, 263","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (l**(-11)*l*l*l*l*l*l**2\/l*l)\/((l**(-3)*l)\/((l*((l*l*(((l*l**(-1\/4))\/l)\/l)\/l*l)\/l)\/l)\/l)) assuming l is positive.\nAnswer: l**(-13\/4)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {c: 5, m: 1, p: 4}. Give prob of picking 2 p, 1 c, and 1 m.\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 657?\nAnswer: 3, 73","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -510.6 + 511. What is the third smallest value in 0.042, 2, -0.2, v?\nAnswer: v","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: 1085*0.3\nAnswer: 325.5","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 4 + (18 - -5) + -11.\nAnswer: 16","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from yddydydpydpyyyyp. What is prob of picking 2 y, 1 d, and 1 p?\nAnswer: 3\/13","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1587130?\nAnswer: 2, 5, 43, 3691","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1, -1\/3, 2\/73, -0.183, -754.\nAnswer: -754, -1, -1\/3, -0.183, 2\/73","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Are 1 and -6\/2675 equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 5 + (2 - ((-3 - -6) + -1)).\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Factor 5*f**2 + 32240*f - 161325.\nAnswer: 5*(f - 5)*(f + 6453)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(75) + sqrt(75) + 0 + -2)**2 - ((sqrt(3) + 0 - sqrt(3))**2*-6 - (sqrt(3) + (-2*sqrt(30))\/sqrt(10))).\nAnswer: -41*sqrt(3) + 304","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-7)\/((-35)\/(-4)))\/((-6)\/(-15))?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3*h**2 - 5*h**2 + 3*h**2)*(0*h + 0*h + 2*h).\nAnswer: -10*h**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify w*(w\/(w*w*w**2))\/w*w\/(w*w**0)*w*(w\/(w*w**(-5)))\/((w**6*w)\/w) assuming w is positive.\nAnswer: w**(-3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let v(j) = -j**3 + 14*j**2 - 13*j + 5. Let q be v(13). Suppose m - 210 = -q*m. What is the tens digit of m?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 13 divide 459730?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Put 3, -2, 338, -6 in ascending order.\nAnswer: -6, -2, 3, 338","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -35 + 59. Let p = -33 + 51. Calculate the lowest common multiple of p and q.\nAnswer: 72","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: 15*0.519\nAnswer: 7.785","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*k - 3 = -12. Suppose 20*n = 78 + 322. Let q be (k - 56\/n)*2. What is the smallest value in 3\/2, -3, q?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3 - 3 - 14)*(2*i - 1 - 1 + 3).\nAnswer: -40*i - 20","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 7 a factor of 1246?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is 534614 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence vuv when three letters picked without replacement from vuuuuuvuuuuuuvuuuu?\nAnswer: 5\/272","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let k(b) = -b**2 + b. Let n be k(0). Solve -2*g + 2 = -0*x + 4*x, -2*g + 10 = n for x.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 44331 is divided by 751.\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((i**11*i)\/((i*i**(2\/15)*i)\/i))**(-24)\/((i**6\/(i\/(i*i\/i**(1\/3))))\/(i\/(i**(1\/4)*i)*i)**(1\/51)) assuming i is positive.\nAnswer: i**(-272801\/1020)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -10 + 8. Let g be k\/3*(-153)\/3. Suppose 3*n = -4*y + g + 9, 2*y = -n + 21. Is y a multiple of 10?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(c) = -4*c**3 - c. Let n(y) = -y**3 - y**2 + 2*y - 1. Let v be n(-2). Let i be x(v). Let l = 6 - 1. Solve d + l*u = 26, i*d - d + 5*u - 29 = 0 for d.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -4*c**3*d - 3*c**3 - 3*c*d + 180*d wrt c.\nAnswer: -12*c**2*d - 9*c**2 - 3*d","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of -640, -2021, -4148, -7021?\n\"Answer: -373*b**2 - 262*b - 5","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Round 131668.22 to the nearest 100.\nAnswer: 131700","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is 334303301 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 2578847 is divided by 234407.\nAnswer: 370","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Convert -1715 (base 9) to base 4.\nAnswer: -110132","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -1797277626755713050.00000009 - -1797277619194310393. Let f = w + 7561402704. Let s = -47 + f. Round s to seven decimal places.\nAnswer: -0.0000001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1103058 a multiple of 232?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_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: Is -179609 greater than or equal to -179742?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -254 + 464. What is the greatest common divisor of 30 and a?\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 307198 minus -0.0780396?\nAnswer: 307198.0780396","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is 51 a factor of 795049?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of 21304, 42730, 64154, 85576, 106996?\n\"Answer: -d**2 + 21429*d - 124","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -4 + 7 + 40*s + 104*s - 70*s.\nAnswer: 74*s + 3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve 8*k - 3*u - 120710 = -120514, -90 = -3*k - 3*u for k.\nAnswer: 26","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (834\/2085)\/(1\/(-2)).\nAnswer: -4\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:08 PM and 9:08 PM?\nAnswer: 300","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let s be -4 + ((-5512)\/(-32))\/13. Let z be 3\/((-18)\/(-4))*15. Is z >= s?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 86*z**4 - 3928*z**3 - 228569 wrt z.\nAnswer: 344*z**3 - 11784*z**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -1 + 1 - 1 - 15*m**2 to b*m + f + c*m**2 and give c.\nAnswer: -15","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let b be 56\/(-21) + (0 - -26)*(-589)\/(-93). What is the greatest common factor of b and 8154?\nAnswer: 54","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -1 + sqrt(38)\/(sqrt(6)\/sqrt(3)*-2)*-4 - (((sqrt(475) - (sqrt(475)*-2 + sqrt(475))) + 0 + sqrt(475) + -4)**2 + -5).\nAnswer: -4287 + 122*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 121950 is divided by 20323.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_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: What is 49115376650 rounded to the nearest one million?\nAnswer: 49115000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -2\/5? (a) 1 (b) 2 (c) -4 (d) 0.12 (e) -20.7\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 197*q - 422*q + 13780 = -65*q + 529*q for q.\nAnswer: 20","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 435778 to the power of 1\/2, to the nearest integer?\nAnswer: 660","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let v(p) = -p**2 + p. Let d(o) = -o**2. Let w(s) = -d(s) + 5*v(s). What is the second derivative of w(u) wrt u?\nAnswer: -8","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (6*t + 6*t - 3*t)*(3 - 3 + 2*t) + (-2*t + t + 2*t)*(t + 4*t - 3*t).\nAnswer: 20*t**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let f(w) = -4*w - 1. Let m = -8 + 6. List the prime factors of f(m).\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is -1112 - 120211012?\nAnswer: -120212201","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 3970485.\nAnswer: 3, 5, 29411","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 b when two letters picked without replacement from bobo?\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 70 and 187145.\nAnswer: 35","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 40 and 136?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let f(d) = -8 + 15 - 3 - 4*d. Let r(y) = 9*y - 9. Let b = 8 + -14. Calculate b*r(n) - 14*f(n).\nAnswer: 2*n - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Divide -8 by 5712.\nAnswer: -1\/714","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 0 + -2.06. Let b = f + 2. Let d = b + 4.06. Is d greater than 1?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express r + 237*r**4 - 261*r**4 - r**3 + 51*r**2 - 49*r**2 in the form b*r + v*r**2 + p*r**3 + f*r**4 + c and give v.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 285 is divided by 18.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -173 + 176. Suppose 2*t + 2*u = 862, -1283 = -w*t - 15*u + 14*u. What is the tens digit of t?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from qyqy. Give prob of picking 1 q and 1 y.\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is 165 a factor of 148045095?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -14 + 19. Suppose -m = m - 5*v - 305, q*m - 803 = -v. Suppose 2*r = -2*r + 3*i + m, -2*r + i = -78. Calculate the remainder when r is divided by 10.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 2034059330 to the power of 1\/8, to the nearest integer?\nAnswer: 15","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 1881151 - 94105303\/50. Let x = l + 955. Is 1 greater than x?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) 3 (b) -4 (c) 0.3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -42*a = -6*a - 5112. What is the remainder when a is divided by 11?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-30)\/(-96))\/((-3)\/(-24))?\nAnswer: 5\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (n\/(n**19\/n)*n**(3\/17))\/((n\/(n**14\/n*n))\/n*n**(2\/33)) assuming n is positive.\nAnswer: n**(-1618\/561)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 85463.14 kilometers in meters?\nAnswer: 85463140","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) -2 (b) -9.92 (c) 1.4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose t = 25*d - 26*d - 4, -t = -2*d - 11. Let m be (4 - 2) + (-4685)\/325. Let v = 62\/5 + m. Which is smaller: v or t?\nAnswer: v","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 35 - -144*(-14)\/84.\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is 1111100 + -11?\nAnswer: 1111001","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 184 minutes before 2:35 PM?\nAnswer: 11:31 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 2352 - 1125. List the prime factors of p.\nAnswer: 3, 409","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 84815 less than 32?\nAnswer: -84783","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of (-149196)\/(-16) + 45\/36.\nAnswer: 2, 4663","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -9, 4, -1, 1, -614 in increasing order.\nAnswer: -614, -9, -1, 1, 4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (-16)\/(-7) - (-2)\/(-7). Suppose d + 2*p = 5*p - 11, 2*d + 17 = 5*p. Suppose 3*l - f - 12 = 0, t*l - l - d*f - 15 = 0. Solve l*b - 2 = 1 for b.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-4 - -8 - 4) + 100 - (-59 + 119 - 53)\nAnswer: 93","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*h + 3*w - 150, 0 = h + 3*h - 2*w - 176. Let n = -38 + h. What are the prime factors of 126\/n + 8\/32?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 41369*n**4 + 139*n**3 + 2*n**2 - 10*n + 5320507?\nAnswer: 496428*n**2 + 834*n + 4","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from cxcgcxggbbxcccibbv. What is prob of picking 2 g, 1 c, and 1 b?\nAnswer: 2\/85","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 60 and 17724.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is 403 a multiple of 42?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 2933527?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Express 19 - 20 + t - 2*t**4 - 8*t**3 - 2*t as g*t + o*t**4 + d*t**3 + l + b*t**2 and give l.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 20 = 5*m + 5*r, 0 = -m + 4*r + 55 - 51. Let p(h) = 4*h**3 - 8*h**2 + 9*h + 10. Calculate the lowest common multiple of p(m) and 10.\nAnswer: 870","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -666 - -101. What is the nearest to -5 in 2\/23, v, 2?\nAnswer: 2\/23","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(y) = -3*y**2 - 5. Let o(u) = -3*u**2 - 6. Let l(p) = p**2 + 22*p - 45. Let m be l(-24). Determine m*o(f) - 4*z(f).\nAnswer: 3*f**2 + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let k(d) be the third derivative of 167*d**6\/40 - 488*d**3 - 1091*d**2. Differentiate k(o) wrt o.\nAnswer: 1503*o**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 1, -80\/11, -3.4, -1\/4, 1\/7 in descending order.\nAnswer: 1, 1\/7, -1\/4, -3.4, -80\/11","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is -23.09112 rounded to zero dps?\nAnswer: -23","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -6413*g + 335*g**2 + 6413*g to x*g + f + m*g**2 and give m.\nAnswer: 335","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((4*sqrt(1008) - sqrt(28))*-1)\/(4*2*sqrt(324)))**2.\nAnswer: 3703\/5184","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let i be 15\/30*(-187 + 1). Let o = 117 - i. Calculate the common denominator of ((-325)\/o)\/(4\/(-12)) and -117\/14.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(j) = -6*j**3 - 3*j**2 - 3*j - 1. Let p(y) = 2*y**3 + 14*y**2 + 8*y - 13. What is the remainder when b(-2) is divided by p(-6)?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(k) = 2*k. Let u(o) = -637772*o. Determine l(u(a)).\nAnswer: -1275544*a","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4688 = 128*v + 3*v - 8749 for v.\nAnswer: 31","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is -5 + (-5000)\/(-24) + (-4)\/3 a multiple of 10?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 1\/4 in -2, -2\/15, -301?\nAnswer: -2\/15","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let j be ((-28)\/(-12))\/((-1)\/3) - (8 + -402). Calculate the greatest common factor of 516 and j.\nAnswer: 129","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -9 + 5 - (-4 + -4)?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (0 + 10)\/2 + -1. Let b be (1 - (0 + 1))\/(-2). Let w(l) = -l**3 + 5*l**2 + 7*l - 3. Let z be w(6). Solve a - u = b, o*a + z = u - 6 for a.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 3928548 is divided by 835.\nAnswer: 708","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 361\/890 + -1\/178. What is the common denominator of j and (-1)\/(-3) - ((-12)\/45 - 0)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Subtract -22 from 5.9374419.\nAnswer: 27.9374419","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*h**3\/7 - 16*h**2\/7 - 18*h\/7 + 36\/7 = 0. Calculate h.\nAnswer: -6, -3, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let j be 64 - (-2)\/(-2 + 24\/18). What is the greatest common factor of 61 and j?\nAnswer: 61","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 1527 + -1282. Suppose -4*c = -366 - 26. What is the highest common factor of c and o?\nAnswer: 49","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(y) = 1455*y**2 - 15*y + 71. Is a(6) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(c) = 207*c**2 + 2*c - 1. What is the remainder when h(1) is divided by 11?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*q**2\/9 - 2996*q\/9 + 1000\/3 = 0 for q.\nAnswer: -750, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 0 - 0.5. Let f be (-2)\/5*70\/(-112). What is the nearest to 0 in 1, f, x?\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 1033155, 1033134, 1033113, 1033092, 1033071, 1033050?\nAnswer: 1033029","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -9 + 19. Let m be (-1914)\/55 - 2\/x. Is 398\/5 - (-21)\/m prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 v and 1 x when two letters picked without replacement from {v: 1, y: 3, w: 4, x: 4, s: 1}?\nAnswer: 2\/39","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -3700*-3.\nAnswer: 11100","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 123865 - 68276. List the prime factors of n.\nAnswer: 55589","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 7 and 176218?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*m - m = -a, 3*m = 3*a. Solve -2 - 3 - 104*h - 3 - 338*h**2 + m = 0.\nAnswer: -2\/13","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:21 AM and 11:42 AM?\nAnswer: 501","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 355, 808, 1563, 2620?\nAnswer: 3979","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.7 minus 0.451?\nAnswer: -1.151","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Expand (7 - 51 - 39)*(-x + 4*x + x) + 5*x + 0*x - 6*x + (1 - 2 - 1)*(0*x - x + 2*x).\nAnswer: -335*x","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let p(c) = -11*c + 1. Let s(u) = 12*u - 1. Let z(q) = -5*p(q) - 6*s(q). What is the units digit of z(-2)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (b**(2\/9)\/b)**(-34)\/(b**(-1\/2)\/(b\/b**(1\/22)*b)) assuming b is positive.\nAnswer: b**(2861\/99)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.0000069 to 5 decimal places.\nAnswer: -0.00001","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {j: 2, v: 7, e: 1}. What is prob of picking 1 j and 1 v?\nAnswer: 14\/45","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: -836 divided by 418\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 10898 is divided by 492.\nAnswer: 74","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let v(q) = -10*q**2 + 26*q + 1. Let a(u) = -u**3 + u + 1. Let p(d) = -2*a(d) + 2*v(d). Factor p(g).\nAnswer: 2*g*(g - 5)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 1654 + -692. What is the hundreds digit of o?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 19651?\nAnswer: 43, 457","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*l + 21 = c, 2*l = -4*c + 4*l + 18. Suppose -q - 156 = q. Let g = -55 - q. What is the remainder when g is divided by c?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 59*c - 16 = 55*c for c.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (0 + 1)\/(-1) - 11. Let o = 7 + s. Let n(p) be the third derivative of -p**5\/60 - p**4\/3 - 7*p**3\/6 + p**2. What is n(o)?\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*f + 12 + 0 = 0. Suppose b = f*b - 28. What is the units digit of b?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 22708*m - 1044646 = 195717 + 349197 for m.\nAnswer: 70","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -v**4 + 109595*v**3 + 54571*v**2?\nAnswer: -24*v + 657570","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Find x such that 3*x**5 - 13953*x**4 + 1402389*x**3 + 13375773*x**2 + 40881996*x + 41259456 = 0.\nAnswer: -3, 112, 4548","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 1386795 and 1565.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 7\/4 of a year in months?\nAnswer: 21","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 423 is divided by 17?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -12*w - 3*j + 114 = -15*w, w - 4*j + 59 = 0. Which is the nearest to -17? (a) w (b) -0.1 (c) 1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in -4\/5, -12, 3, 2\/3, 3\/2?\nAnswer: -4\/5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let x(w) = w - 3. Let f be x(-5). Let o be (15\/(-10))\/(3\/f). What is the third biggest value in o, 2, 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h be 110\/(-25) + 5 - (-67)\/5. Suppose 0 = h*n - 11*n - 84. Suppose -n = u - 3*u - 5*z, z = -u + 14. What is the greatest common factor of u and 126?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 3093 to the nearest integer?\nAnswer: 56","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 7\/6 + -2\/3. Let k be (-9)\/(17 + -8)*(-2)\/4. Factor k*b**5 - b**4 + 0*b**3 - h*b + 0 + b**2.\nAnswer: b*(b - 1)**3*(b + 1)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(s) = 5*s**3 + 2*s**2 + 5*s + 4. Let q be m(-3). Let x = 388\/3 + q. What is the third smallest value in x, 1\/7, 0.06?\nAnswer: x","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.003660221 to six dps.\nAnswer: -0.00366","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let z(s) = 2*s**2 + 9*s - 54. Let p be z(-8). Solve -r = 3 - p for r.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -15505, -31001, -46497?\nAnswer: -61993","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -35\/2 - -17. Which is smaller: 0 or p?\nAnswer: p","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(t) = t**3 - 4*t**2 - t. Let r(p) = -9*p**3 + 18*p**2 + 4*p - 3. Determine 4*k(i) + r(i).\nAnswer: -5*i**3 + 2*i**2 - 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Does 3 divide 22?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (5 + -2 - (2 - -7)) + 76 + -14.\nAnswer: 56","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 + 1140\/7*w**2 + 4\/7*w**4 + 144\/7*w**3 - 2888\/7*w = 0 for w.\nAnswer: -19, 0, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(h) be the second derivative of h**7\/63 - 4*h**6\/5 + 59*h**5\/5 - 238*h**4\/9 - 289*h**3\/3 - 4*h - 288. Determine v so that z(v) = 0.\nAnswer: -1, 0, 3, 17","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -421, -584, -857, -1240, -1733, -2336, -3049?\nAnswer: -3872","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -x + 4*g + 40, 3*x - 8*x = 3*g - 131. Let l be (2 - 3)\/(8\/1416). Let q = -150 - l. Which is bigger: x or q?\nAnswer: x","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 24 and (-20)\/(-4) + -1 + 2?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1 greater than or equal to 158?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let p(s) = -s**3 - 6*s**2 - 5*s - 3. Let q(u) = u**2 + 7*u - 4. Let r be q(-7). Let m be p(r). Let n be (-28)\/m + -2 + 0. Which is smaller: -1 or n?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(j) = 2*j + 33. Let k = 93 - 107. Let x be d(k). Suppose -44 = -x*z - 4*u, 3*z + 5*u - 3*u - 28 = 0. What is the highest common divisor of 12 and z?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 128063862?\nAnswer: 2, 3, 23, 97, 1063","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 77 minutes after 10:16 AM?\nAnswer: 11:33 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 6.382166 - -81.617909. Let p = 87.9995 - -0.0005. Let k = p - r. Round k to 5 decimal places.\nAnswer: -0.00008","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 5778 rounded to the nearest 1000?\nAnswer: 6000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let i(t) = -2*t**2. Let d(g) = -23616*g**2 + 4*g. Calculate d(i(x)).\nAnswer: -94464*x**4 - 8*x**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 1602 and 29574?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*n + 3 = 2*r, -12*r = -11*r + 3*n. Suppose -2*y - 11 = 3*z, 3*z + 6 = -2*y + z. Suppose -y*b + 104 = 4. What is the remainder when b is divided by r?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 41*v + 179 = -109 - 778 for v.\nAnswer: -26","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let m(h) = 5*h**2 - 2*h. Let s(j) = 1133*j. What is m(s(a))?\nAnswer: 6418445*a**2 - 2266*a","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Find f, given that -2*f**2 + 3793000*f + 3793002 = 0.\nAnswer: -1, 1896501","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*l**2 + l**2 + 3*l**2)*(-l + 3*l + 0*l) - 3*l**3 - 2*l + 2*l + 373*l**3 + 127*l**3 - 926*l**3.\nAnswer: -425*l**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from npnpnnnnnnnaananna. What is prob of sequence aaap?\nAnswer: 1\/1530","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_test"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of (-385425)\/(-75)*147\/27?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h be 0 + (-337)\/4 + -2. Let i be (1 - -78) + 4 - -4. Let n = h + i. What is the closest to 2\/3 in -4, n, -3?\nAnswer: n","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (-2 + 1)\/(-1)*9 - 4. Let z(b) = -3*b + 1. Let m be z(1). Let c = 2 + m. Solve 4*s - 3 = h*w + 1, 4*w + 5*s - 5 = c for w.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -1648*c**3 + 3424 wrt c.\nAnswer: -4944*c**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence jj when two letters picked without replacement from kctkjttthttttjh.\nAnswer: 1\/105","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is (-28*(-2)\/(-175))\/(16\/(-60))?\nAnswer: 6\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -20718883 - -20718872.9999995. Let c = 10.18 + -0.18. Let p = c + k. Round p to six dps.\nAnswer: -0.000001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from gzgz. Give prob of picking 2 g and 1 z.\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -5.85 and -0.1?\nAnswer: 0.585","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is -10122111120021 + -110202?\nAnswer: -10122112001000","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of -6196, -6111, -6026, -5941, -5856?\n\"Answer: 85*l - 6281","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: -316de (base 16) to base 15\nAnswer: -3eec7","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -20 divided by 1102898.\nAnswer: -10\/551449","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is 60 a factor of 1167299618?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let s(d) = 2*d**2 + 10*d + 5. Let k be s(-4). Let r be (325\/(-40) - k) + 5. Let y = -2 + 0. What is the third biggest value in y, 3, r?\nAnswer: y","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*u = 2*u - 26. Suppose -7*p + 30 = -5. Suppose 0 = -p*c + u - 23. Let d(t) = t**2 - 2*t - 3. Calculate d(c).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 13485 is divided by 13422?\nAnswer: 63","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Does 42 divide 5796?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between 20 and 1.142?\nAnswer: 18.858","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let o(z) = -z**2 - 251*z - 12206. Give o(-185).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let t(n) = 35*n - 18 + 31*n - 132*n + 34*n + 39*n. Let j(m) = 5*m**2. Determine t(j(c)).\nAnswer: 35*c**2 - 18","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is -15 + (-4 - -4 - 0) - 7 - -3?\nAnswer: -19","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 2073 - 2078. Sort k, -4, 221 in decreasing order.\nAnswer: 221, -4, k","meta":{"dup_signals":{},"source":"comparison__sort_composed_test"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 57\/10660 and -97\/246?\nAnswer: 31980","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: How many days are there in 64336.977 seconds?\nAnswer: 0.7446409375","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.001746 rounded to four decimal places?\nAnswer: -0.0017","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is 79 a factor of 21313568?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is 75 a multiple of 3?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 3\/25 of a meter in centimeters?\nAnswer: 12","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 14643000 rounded to the nearest one million?\nAnswer: 15000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let u(s) = -382*s**3 + 2*s**2 + 14*s + 23. What are the prime factors of u(-2)?\nAnswer: 7, 19, 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -0.3 and -9587031.\nAnswer: 2876109.3","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let o(x) be the second derivative of -x**3\/3 - 9*x**2\/2 - 77*x. Let n be o(-6). Solve 5*z = 3*w - 12, n*w = -5 + 2 for z.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c be 258\/(-4)*(-11)\/((-165)\/40). Let h = c + 182. Sort 2, 4, h.\nAnswer: 2, 4, h","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in 0.3, 3, -5, 0, -5\/148?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 8792554 to the power of 1\/6, to the nearest integer?\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let q be ((-8)\/6)\/(4\/(-18)). Suppose 5*r - q - 4 = 2*m, -4*r + 11 = -m. Let l = -0.6 - 0.4. Which is the closest to l? (a) -3 (b) 0.5 (c) m\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out 8 * 177566.\nAnswer: 1420528","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*b + 3*b - 2*c = 620, -4*b + 4*c = -496. What is the units digit of b?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 486229 to the nearest 100000.\nAnswer: 500000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is -828 smaller than 0.1?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -25441442 - 3*l**3 + 25441442.\nAnswer: -3*l**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let p(z) = -z**3 + 14*z**2 - 7*z + 100. Let n be p(14). What is the closest to 0 in n, -1\/5, 5?\nAnswer: -1\/5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 6 - (-1 - -2 - (-7 + -5))?\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve -60*a - 48*a - 21*a = 2322 for a.\nAnswer: -18","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let b(u) = u**2 - 8*u + 6. Suppose -3*c + 13 = 1. Suppose 0 = -v + 2*s + 14, c*s - 6*s + 4 = 2*v. Give b(v).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 3381 is divided by 484?\nAnswer: 477","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Express 12 - 527*l**3 - l**2 - 519*l**3 + 1049*l**3 + 31 in the form v + q*l + u*l**3 + p*l**2 and give p.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of -267091, -1068354, -2403803, -4273444, -6677283, -9615326?\n\"Answer: -d**3 - 267087*d**2 + 5*d - 8","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -657, -655, -653, -651, -649, -647?\nAnswer: -645","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let y(c) = 429*c - 501. Let j(t) = 143*t - 168. Let d(u) = -8*j(u) + 3*y(u). Differentiate d(x) wrt x.\nAnswer: 143","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -29080973 equal to -40?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 254 minutes before 8:01 AM?\nAnswer: 3:47 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 659306395?\nAnswer: 5, 11, 2099, 5711","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let o(y) = -y**3 - 7*y**2 + y + 10. Let f be o(-7). Suppose a - 4*c = 24, 5*a - f*c = 4*a + 19. What is the lowest common multiple of 3 + a*(-3)\/(-6) and 11?\nAnswer: 55","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1 minus 4905.37?\nAnswer: -4904.37","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Express -289*y + 90*y - 10*y**2 + 4*y**3 + 100*y + 90*y in the form n*y**2 + j*y**3 + a + w*y and give n.\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: -21032 (base 8) to base 14\nAnswer: -3278","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Round -8212959020 to the nearest 1000000.\nAnswer: -8213000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 318 - 313. Solve 3*w = -w + 5*z - 11, -q*w + 2*z = 18 for w.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (-2)\/(-4) - (-3)\/2. Suppose z*r - 34 = -3*n + 4*r, 0 = 2*n + 3*r - 1. What is the units digit of n?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 f when two letters picked without replacement from {f: 3, p: 1, l: 4, r: 10}.\nAnswer: 1\/51","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 37*u + 84 = 43*u. Calculate the lowest common multiple of u and 112.\nAnswer: 112","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 77 minutes before 1:07 PM?\nAnswer: 11:50 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (y*(y**(-1)\/y)\/y)**(10\/17)\/((y\/(((y\/y**(2\/15))\/y*y)\/y))\/(y\/(y\/y**0))) assuming y is positive.\nAnswer: y**(-589\/255)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let c(g) = -2*g**3 - 12*g**2 + 2. Let x be c(-6). What is z in -2*z**x + 1 - 1 - 117*z + 119*z = 0?\nAnswer: 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -736947, -2947761, -6632445, -11790999?\nAnswer: -18423423","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let h(j) = 1123*j + 43803. What is h(-39)?\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -105.5173 - -0.1173. Let t = a - -115. What is t rounded to zero decimal places?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(l) = 3*l + 19. Determine g(-7).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -21*s - 1144 = -8*s. Let h = s + 88. What is the third smallest value in h, -4, -1?\nAnswer: h","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 281439448 a multiple of 389?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve r + 8 = 4*n, -3 = -5*n - 3*r + 7 for n.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (-10)\/2*(-2 + 1). Suppose u - 12 = -4*f, 10 + 0 = b*f. Solve 4*l + p + p = 4, -u*p + 13 = 3*l for l.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the seventh biggest value? (a) -3\/7 (b) 40 (c) 4\/5 (d) 2 (e) -1 (f) -2\/19 (g) 93\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let o be 8\/5 - (-2 - (-32)\/20). Solve w = 3*t + 16, 3*t - 16 = o*t - 5*w for t.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -n + 289 = 287. Suppose -7*o - 3*u - 6 = -3*o, -2 = -5*o + u. Solve 0 = n*j - o*j + 10 for j.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 73 times -358?\nAnswer: -26134","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((((n*(((n\/((n**(1\/5)\/n)\/n))\/n)\/n)\/n)\/n*n**2*n)**(3\/23))**(-12))**(1\/22) assuming n is positive.\nAnswer: n**(-252\/1265)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is -30 - -16?\nAnswer: -18","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Convert 1003303 (base 4) to base 11.\nAnswer: 3295","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Determine g so that 45*g**2 - 34542305*g - 7676070 = 0.\nAnswer: -2\/9, 767607","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let w(b) = -3*b. Let x(d) = -2*d. Let c(u) = 3*w(u) - 5*x(u). Let n(y) = -3*y - 2. Determine -2*c(a) - n(a).\nAnswer: a + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-10)\/52*(10 + (-672)\/70).\nAnswer: -1\/13","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -3*b + 139 - 145 for b.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 102 and 272.\nAnswer: 34","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: 0.1*187\nAnswer: 18.7","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-63)\/(-6))\/(12\/144*9)?\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 2310569895 a multiple of 15?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -6 divided by 20.\nAnswer: -3\/10","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (1 - ((1 - 2) + -1)) + -4.\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 50 and 1600.\nAnswer: 50","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Subtract -1093190493 from -0.0544.\nAnswer: 1093190492.9456","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 374 and 7344.\nAnswer: 34","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*r + 3*j + 13 = 0, 7*r + 5*j = 2*r + 5. Suppose -8 = -r*d, -k = -d - d. Solve -5*g + i + 2 = -2*i, -4*g + k = 4*i for g.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -0.8144044 + -62.1849256. Let y = o + 63. Round y to four dps.\nAnswer: 0.0007","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-14 - -7) + 8 + -3\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 6*(-1 + (sqrt(20) + sqrt(1280))*4 + sqrt(20) + sqrt(20)\/(-6*sqrt(28)\/sqrt(7))).\nAnswer: -6 + 443*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {m: 2, b: 7}. Give prob of picking 2 b and 1 m.\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 1217755128 to the power of 1\/2, to the nearest integer?\nAnswer: 34896","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 10*i - 17*i - 1 + 8*i + 4539*i**2 + 10630*i**2.\nAnswer: 15169*i**2 + i - 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 7 - 4. Let y(d) = 50*d - 123*d - 4 + 74*d. Give y(h).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(q) = 2*q + 22. Calculate m(-13).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*z + 1161 = -5*x - 474, x + 304 = -4*z. Does 7 divide (-4)\/(-8 - x\/42)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -11 + 19. Let v be (14\/(-35))\/((-2)\/(-20)). Let r be (-17)\/v - 6\/24. Calculate the highest common divisor of r and s.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -97*j**3*k**3*m**3 + 5*j**3*k**3*m + j**3*k*m + j**3*m**3 - 3*k**3*m wrt m?\nAnswer: -582*j**3*k**3*m + 6*j**3*m","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Does -23\/399155 = -1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -170*b**2 + 86*b**2 - 1081129 + 84*b**2 - 64*b**3 + 1081129.\nAnswer: -64*b**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let u(l) = 5*l + 22. Let d be u(-3). Calculate the greatest common divisor of 91 and d.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 13043 and 1.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Expand (407*c + 493*c - 4*c**2 + 99*c + c**2)*(3*c + 2*c - 3*c)*(-1 - 2*c**2 + 1).\nAnswer: 12*c**5 - 3996*c**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let n(l) = -5*l**3 - 11*l**2 - 3*l - 8. What is the hundreds digit of n(-4)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -15*i + 11896 = 556. Calculate the greatest common divisor of i and 28.\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7*c - 10835 = 610. Suppose -45*l + c = -12720. Calculate the greatest common factor of 11 and l.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 1664, 3313, 4942, 6539, 8092, 9589, 11018, 12367?\nAnswer: 13624","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 38465755 to the nearest integer?\nAnswer: 6202","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {p: 13, l: 3, x: 4}. What is prob of picking 1 x, 1 l, and 1 p?\nAnswer: 13\/95","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0 in 43, -3\/2, -3, 3\/10, 33\/79?\nAnswer: 3\/10","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify q\/q**26*q*q**2*q*q*q**0*q*q*q**(18\/5) assuming q is positive.\nAnswer: q**(-72\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let d(c) be the second derivative of c**6\/40 - c**5\/12 - 2*c**3\/3 - 9*c. Let g(o) be the second derivative of d(o). What is the second derivative of g(z) wrt z?\nAnswer: 18","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(l) = -l**3 - 4*l**2 + 4*l + 10. What is k(-4)?\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -28 = 4*n - b - 0, -7 = n + b. Let k(j) = 35*j**3 + 78. Let c(x) = -23*x**3 - 52. Let h(l) = n*c(l) - 5*k(l). Differentiate h(f) wrt f.\nAnswer: -42*f**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*j + 4*o = -2476, -21*j = -17*j - 4*o - 1976. Which is smaller: j or 498?\nAnswer: 498","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 27785\/3 + -9287. Let k = -457 - -1873\/4. What is the common denominator of k and h?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sum -1 and 6038150553.5204.\nAnswer: 6038150552.5204","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*s - 128492 = -b + 40576, -8*s + 676230 = -3*b. What is s rounded to the nearest ten thousand?\nAnswer: 80000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3587 = 182*w + 1691 for w.\nAnswer: -29","meta":{"dup_signals":{},"source":"algebra__linear_1d_test"},"subset":"dm_maths"} +{"text":"Question: Is 12 a factor of 0 + 97 - (8 - 4\/4)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 11330 and 617485?\nAnswer: 1234970","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Find f such that f**4\/4 + 37703*f**3\/4 + 1730167*f**2\/4 - 77368035*f\/4 + 160983675 = 0.\nAnswer: -37657, -76, 15","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 472 minutes after 3:51 PM?\nAnswer: 11:43 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Convert -10232100 (base 6) to base 8.\nAnswer: -1111504","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -1\/124072 and -69\/260.\nAnswer: 620360","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 1771963?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let v(o) be the first derivative of 21*o**5\/5 - 22*o**3\/3 + 13. What is the third derivative of v(c) wrt c?\nAnswer: 504*c","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {d: 1, q: 4, f: 2}. What is prob of sequence ff?\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 3 t when three letters picked without replacement from aaaaatataayataa.\nAnswer: 1\/455","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 136 and 28?\nAnswer: 952","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let p(q) = 4*q - 19. Let i be p(13). Suppose -715*r = -712*r - i. Solve 3*z - 3*t + 2 - r = 0, 4*t = -3*z - 5 for z.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 300 is divided by 55?\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: -1.9*4\nAnswer: -7.6","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 398770 and 438647.\nAnswer: 4386470","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 8 + -11. Let q = b - -5. Differentiate -2*g + q - 2*g + 3*g wrt g.\nAnswer: -1","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 4153 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: Factor -560\/3*w + 4\/3*w**2 + 19600\/3.\nAnswer: 4*(w - 70)**2\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 245*v = 380*v + 405 for v.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 607096 to the nearest integer?\nAnswer: 779","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -13032*k = -13028*k - 12. Let u(x) be the second derivative of 0 + 0*x**k - 18*x + 1\/3*x**4 + 1\/5*x**5 + 0*x**2. Factor u(s).\nAnswer: 4*s**2*(s + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -8*i + 4 - 26*i + 42*i - 4.\nAnswer: 8*i","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 22 and 7.\nAnswer: 154","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is (12\/34)\/((-96)\/(-1004496)) a multiple of 13?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is -3 - 25550241?\nAnswer: -25550244","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let l(h) = -h**2 - 10*h + 15. Let n be l(-11). Suppose n*z - 3*z = 0. Suppose -5*x + 4*a + 0*a = -40, -3*a = z. What is the units digit of x?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of a**5 + 3224280*a**4 + 102241373*a**2.\nAnswer: 60*a**2 + 77382720*a","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {k: 8, p: 1, y: 2, s: 9}. Give prob of picking 1 p, 1 s, and 1 k.\nAnswer: 6\/95","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let t(l) = -3*l**2 - 232*l + 4. Determine t(0).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 j, 1 w, 1 v, and 1 m when four letters picked without replacement from mjkvmjwwwkmwkpmmmvww?\nAnswer: 48\/1615","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 22738318 is divided by 432.\nAnswer: 430","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve -8*z**5 - 40*z**4 - 34*z**3 + 124*z**2 + 264*z + 144 = 0.\nAnswer: -2, -3\/2, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*l = -15, 0*p + l + 3 = -2*p. Let j(a) = 2*a - 1. Let q be j(-2). Sort p, -2, q.\nAnswer: q, -2, p","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 147 divide 20176?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -2\/101 - 97\/202. Which is the nearest to 14? (a) 1\/3 (b) 5 (c) p\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Do -31 and -35971.57 have different values?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is 16051 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 726 and 30.\nAnswer: 3630","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let r(o) = -1020*o - 28. Let m(t) = -510*t - 13. Determine 13*m(k) - 6*r(k).\nAnswer: -510*k - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-6*((2*sqrt(416) - sqrt(26))\/(sqrt(2) + (sqrt(22)*1 - sqrt(22))\/sqrt(11)) + (2 + sqrt(832) + -1)*-3))**2.\nAnswer: 3672*sqrt(13) + 135576","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 937896 to the power of 1\/4, to the nearest integer?\nAnswer: 31","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (6 - 35) + 136 + -21 + 1 - 19.\nAnswer: 68","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let k(z) = z**2. Suppose -1 = -9*c + 8*c. Let j(a) = 6*a**2 - 3. Let b(f) = c*j(f) - 3*k(f). Find d, given that b(d) = 0.\nAnswer: -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*j + 49 = -11*j for j.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let m be 2*2\/((-4)\/(-15)). Suppose -5*y - 4*g - g = 0, 2*g - m = y. Let v = -0.3 - -0.2. What is the smallest value in v, -0.3, y?\nAnswer: y","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*j + 0*s - 24 = -3*s, 3*s = 3*j - 24. Suppose f - j*f = -35. What is the units digit of f?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of -2247, -2246, -2245, -2244, -2243, -2242?\n\"Answer: y - 2248","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is -2218 + -101665?\nAnswer: -103884","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -5489*x**3 - 4038 + 4038 + 4606*x**3.\nAnswer: -883*x**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -3\/320 and (-253)\/20240*5\/34.\nAnswer: 5440","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(k) = k**3 + k**2 - 1. Let m(o) = -11*o**3 - o**2 + o + 1. Let i(b) = -2*l(b) - m(b). Let h be i(1). Solve 3*v - 7*v + h = 0 for v.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -4 divided by 345335728.\nAnswer: -1\/86333932","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let o(p) = -6*p**3 - 9*p**2 + 19*p + 149. Let b be o(-5). Let c be (1032 - 1) + (-4)\/(-2). Let x = c - b. Is x a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((3 + (2 + (sqrt(1377) - (sqrt(1377) + -2*sqrt(1377))) - (sqrt(1377) + (sqrt(1377) - (sqrt(1377) + sqrt(1377) + 1 + -5)))) + -1)*-2)**2.\nAnswer: 22032","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*d = -v + 5, -3*d = -4*v + 1 + 19. Suppose d = t - 78 + 30. Let j = -25 + t. Does 23 divide j?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_test"},"subset":"dm_maths"} +{"text":"Question: Suppose -13 + 17 = 2*x. Solve 7 = -s + 2, -x*i + 5*s = -19 for i.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 412741580.0000668 + -412741450. Let s = a + -130. Round s to 6 dps.\nAnswer: 0.000067","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -4.32 - -0.22. Let z = -4 - k. Which is the closest to z? (a) -2\/3 (b) 0.5 (c) -0.2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.05219826764 to three dps.\nAnswer: -0.052","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is 75 a factor of 383?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 2047738271?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let w(a) = 3*a + 3*a - 1 - 5*a. Calculate w(-4).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tenth root of 2397563 to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (4 - (-168)\/(-20))*5. Let a = v - -24. Suppose 0 = 3*o - 8 - 28. Solve 2*d = -a*p - 0*p - 8, -3*p + o = -3*d for d.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 417*a**2 - 4*a + 4 - 20 + 922*a**2.\nAnswer: 1339*a**2 - 4*a - 16","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify m\/(m\/(m**(11\/4)\/m)*m)*m\/(m*m\/(m*m**(6\/19)))*(m**(6\/7)*m)**(-9\/4) assuming m is positive.\nAnswer: m**(-414\/133)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 235 minutes before 5:54 PM?\nAnswer: 1:59 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 3945725\/31 or 127280?\nAnswer: 127280","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 437132?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 2503735318?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -1010 - -1100. What is the smallest common multiple of h and 27?\nAnswer: 270","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 749? (a) 0 (b) 8 (c) -0.9\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -2 + 1.7. Suppose 5*v + 12 = 2*v. Sort v, 3, g in decreasing order.\nAnswer: 3, g, v","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 401.7103 to zero decimal places.\nAnswer: 402","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 2*s**4 - s**3 + 69 wrt s?\nAnswer: 8*s**3 - 3*s**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let b(z) = 2*z**2 - 3*z + 2. Give b(3).\nAnswer: 11","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 47*o**4 - 5*o**3 + 3*o**2 + 18*o wrt o?\nAnswer: 1128*o - 30","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify p*p*p*(p\/p**(-2\/5))\/p*p**(1\/2)*((p**(-1\/12)*p)\/p)\/p**(-7) assuming p is positive.\nAnswer: p**(649\/60)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -21 - -21.5. Which is the closest to -11\/2? (a) 5 (b) u (c) 2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-4 - 1)*1\/((-66)\/9 - 1).\nAnswer: 3\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(g) = -37*g - 746. What is y(-19)?\nAnswer: -43","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: 6 - (43 - (-5 + 44))\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*w = 4*s + 2*w + 36, -2*w = -s - 9. Let j(v) = 2*v + 22. Let m be j(s). What is the greatest common divisor of m and 20?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 9*v*w*z**2 - 13*v*z**3 - 22924*v - 3*w**2*z + 8412*w*z**3 wrt w?\nAnswer: 9*v*z**2 - 6*w*z + 8412*z**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:04 AM and 8:40 PM?\nAnswer: 636","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is 9893707 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred millions digit of 1211936905?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -v**2 + 6*v**3 - 28*v + 19*v**3 - 6*v**3 + 9*v**3 + 2*v**3.\nAnswer: 30*v**3 - v**2 - 28*v","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -35422*u**2 + 35337*u + 3.\nAnswer: -70844","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let f(y) = -6*y - 3*y + 15*y - 58. Calculate the least common multiple of 38 and f(13).\nAnswer: 380","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is 10326600 + 4?\nAnswer: 10326604","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -w = -14 + 80. Suppose 91*f - 150*f - 4130 = 0. Let n = w - f. Put -4, n, -3 in descending order.\nAnswer: n, -3, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 493263962 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -12 - 4. Let s = 15.5 - -2.5. Let q = s + h. Which is smaller: q or 1\/3?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(p) = 10*p + 34. What is n(-4)?\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is 165756 a multiple of 114?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 255 and 90.\nAnswer: 1530","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 1389?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -5*k - 3*y + 13, 4*y - 2 = -5*k + 12 for k.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let s(d) = d**2 + d + 3. Let g be s(5). Suppose 5*q = 12 + g. Suppose 0 = y + 5*x - 10, 3*y - x - q = y. Is y even?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 5, 1, -8, -69, -4 in increasing order.\nAnswer: -69, -8, -4, 1, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) 2\/9 (b) 0.3 (c) -27\/10 (d) 6 (e) 2\/41 (f) 0.09 (g) -0.5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: 0.2*719.75648\nAnswer: 143.951296","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 17687408 to the power of 1\/10, to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Expand (19*a**2 + 0*a - 983*a**2 + 6*a - 7*a)*(0 + a + 0)*(3 - 2 - 9).\nAnswer: 7712*a**3 + 8*a**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 922681 a multiple of 13?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 20629 + -20631. Which is the biggest value? (a) n (b) 357 (c) -0.05\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 67160 is divided by 4197?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 2\/(-8) + (-754)\/(-1160) - 171\/15.\nAnswer: -11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Round -136390 to the nearest one thousand.\nAnswer: -136000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: -4 divided by 3919044\nAnswer: -1\/979761","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*c = 3*q - 4*q + 6, q = 4*c + 10. Suppose q*m - 5*m + k = -8, 4*k = -2*m - 18. Let y(j) = 123*j**3 + j**2 - j + 1. What is the tens digit of y(m)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -g + 40*x - 49*x + 4 = 1, 382 = -13*g - 51*g - 2*x for g.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 694284*d - 24 = 694287*d for d.\nAnswer: -8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -1.22 - -1.32. What is the closest to 0.2 in -0.5, c, 7?\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 3035 is divided by 138?\nAnswer: 137","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 25 + (-33 - -21 - -24 - -1)?\nAnswer: 38","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand 2 - 132*z - 211*z + 9*z + (6 - 4 - 5)*(2*z - 4*z + 3*z).\nAnswer: -337*z + 2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (1*2*4)\/(((-11850)\/(-237))\/(-250)).\nAnswer: -40","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 10302331 (base 4) in base 13?\nAnswer: 8c32","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}